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authorErik Schnetter <schnetter@cct.lsu.edu>2011-03-07 16:31:59 -0500
committerBarry Wardell <barry.wardell@gmail.com>2011-12-14 18:26:03 +0000
commitc7332bd75cac0e97896931bc1d7c015bbb12a667 (patch)
treec443ca15ec901d2691dcddf24b566a0366812247 /CarpetExtra
parent0f8fc2db53346e3a533362fc0033013de9bba202 (diff)
CarpetProlongateTest: Test interpolation as well
Add a routine that interpolates to a grid array, testing whether interpolation (including time interpolation) works correctly. Add a test case for 3rd order spatial and 2nd order temporal interpolation.
Diffstat (limited to 'CarpetExtra')
-rw-r--r--CarpetExtra/CarpetProlongateTest/configuration.ccl3
-rw-r--r--CarpetExtra/CarpetProlongateTest/interface.ccl12
-rw-r--r--CarpetExtra/CarpetProlongateTest/param.ccl56
-rw-r--r--CarpetExtra/CarpetProlongateTest/schedule.ccl36
-rw-r--r--CarpetExtra/CarpetProlongateTest/src/init.F90216
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp.par112
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.d.asc633
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.x.asc36
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.xyz.asc276
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.y.asc36
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.z.asc36
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_errornorm..asc24
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.d.asc851
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.x.asc401
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.y.asc401
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.z.asc401
-rw-r--r--CarpetExtra/CarpetProlongateTest/test/test_interp/test_interp.par112
17 files changed, 3621 insertions, 21 deletions
diff --git a/CarpetExtra/CarpetProlongateTest/configuration.ccl b/CarpetExtra/CarpetProlongateTest/configuration.ccl
new file mode 100644
index 000000000..ee775ac1b
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/configuration.ccl
@@ -0,0 +1,3 @@
+# Configuration definition for thorn CarpetProlongateTest
+
+REQUIRES Fortran
diff --git a/CarpetExtra/CarpetProlongateTest/interface.ccl b/CarpetExtra/CarpetProlongateTest/interface.ccl
index 366742f08..2a132d121 100644
--- a/CarpetExtra/CarpetProlongateTest/interface.ccl
+++ b/CarpetExtra/CarpetProlongateTest/interface.ccl
@@ -21,4 +21,16 @@ CCTK_REAL difference TYPE=gf TIMELEVELS=3
u0 du
} "Error in grid function"
+
+
+CCTK_REAL interp_difference TYPE=array DIM=3 SIZE=interp_nx,interp_ny,interp_nz DISTRIB=default
+{
+ interp_x interp_y interp_z
+ interp_u
+ interp_u0 interp_du
+} "Error in interpolated grid array"
+
+
+
CCTK_REAL errornorm TYPE=scalar "Norm of error in grid function"
+CCTK_REAL interp_errornorm TYPE=scalar "Norm of error in interpolated grid array"
diff --git a/CarpetExtra/CarpetProlongateTest/param.ccl b/CarpetExtra/CarpetProlongateTest/param.ccl
index e2c1c801d..d92f545ba 100644
--- a/CarpetExtra/CarpetProlongateTest/param.ccl
+++ b/CarpetExtra/CarpetProlongateTest/param.ccl
@@ -14,3 +14,59 @@ CCTK_INT power_z "Polynomial power of z coordinate"
{
*:* :: ""
} 0
+
+CCTK_INT power_t "Polynomial power of t coordinate"
+{
+ *:* :: ""
+} 0
+
+
+
+STRING interpolator "The interpolator to use" STEERABLE=always
+{
+ "" :: "must be a registered interpolator"
+} "Lagrange polynomial interpolation"
+
+STRING interpolator_options "Options for the interpolator" STEERABLE=always
+{
+ "" :: "must be a valid options specification"
+} "order=2"
+
+CCTK_INT interp_nx "number of points for interpolated region"
+{
+ 0:* :: ""
+} 4
+CCTK_INT interp_ny "number of points for interpolated region"
+{
+ 0:* :: ""
+} 4
+CCTK_INT interp_nz "number of points for interpolated region"
+{
+ 0:* :: ""
+} 4
+
+CCTK_REAL interp_xmin "xmin for interpolated region"
+{
+ *:* :: ""
+} -0.5
+CCTK_REAL interp_ymin "ymin for interpolated region"
+{
+ *:* :: ""
+} -0.5
+CCTK_REAL interp_zmin "zmin for interpolated region"
+{
+ *:* :: ""
+} -0.5
+
+CCTK_REAL interp_xmax "xmax for interpolated region"
+{
+ *:* :: ""
+} -0.5
+CCTK_REAL interp_ymax "ymax for interpolated region"
+{
+ *:* :: ""
+} -0.5
+CCTK_REAL interp_zmax "zmax for interpolated region"
+{
+ *:* :: ""
+} -0.5
diff --git a/CarpetExtra/CarpetProlongateTest/schedule.ccl b/CarpetExtra/CarpetProlongateTest/schedule.ccl
index 04ac25569..d3b2416e0 100644
--- a/CarpetExtra/CarpetProlongateTest/schedule.ccl
+++ b/CarpetExtra/CarpetProlongateTest/schedule.ccl
@@ -1,6 +1,10 @@
# Schedule definitions for thorn CarpetProlongateTest
-STORAGE: scalar[3] scaled[3] difference[3] errornorm
+STORAGE: scalar[3] scaled[3] difference[3]
+STORAGE: interp_difference
+STORAGE: errornorm interp_errornorm
+
+
SCHEDULE CarpetProlongateTest_Init AT initial
{
@@ -8,12 +12,40 @@ SCHEDULE CarpetProlongateTest_Init AT initial
SYNC: scalar scaled
} "Set up initial data"
+SCHEDULE CarpetProlongateTest_Init AT evol
+{
+ LANG: Fortran
+ SYNC: scalar scaled
+} "Set up initial data"
+
SCHEDULE CarpetProlongateTest_Diff IN MoL_PostStep
{
LANG: Fortran
} "Test data"
-SCHEDULE CarpetProlongateTest_NormInit IN MoL_PostStep AFTER CarpetProlongateTest_Diff
+
+
+SCHEDULE CarpetProlongateTest_InterpInit AT initial
+{
+ LANG: Fortran
+ OPTIONS: global-late
+} "Set up interpolation"
+
+SCHEDULE CarpetProlongateTest_Interp IN MoL_PostStep
+{
+ LANG: Fortran
+ OPTIONS: global-late
+} "Interpolate"
+
+SCHEDULE CarpetProlongateTest_InterpDiff IN MoL_PostStep AFTER CarpetProlongateTest_Interp
+{
+ LANG: Fortran
+ OPTIONS: global-late
+} "Test interpolated data"
+
+
+
+SCHEDULE CarpetProlongateTest_NormInit IN MoL_PostStep AFTER (CarpetProlongateTest_Diff CarpetProlongateTest_InterpDiff)
{
LANG: Fortran
OPTIONS: global-late
diff --git a/CarpetExtra/CarpetProlongateTest/src/init.F90 b/CarpetExtra/CarpetProlongateTest/src/init.F90
index 3d12dc3f2..9784dd8e8 100644
--- a/CarpetExtra/CarpetProlongateTest/src/init.F90
+++ b/CarpetExtra/CarpetProlongateTest/src/init.F90
@@ -1,31 +1,45 @@
#include "cctk.h"
#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
#include "cctk_Parameters.h"
-subroutine CarpetProlongateTest_Init (CCTK_ARGUMENTS)
+module CarpetProlongateTest
implicit none
- DECLARE_CCTK_ARGUMENTS
- DECLARE_CCTK_PARAMETERS
- CCTK_INT, parameter :: izero = 0
-
- ! Add +1 to coordinates so that the domain is not symmetric about
- ! the origin (which may accidendally cancel out some errors)
- u = 0 + &
- 1 * density(x+1,y+1,z+1, power_x,izero ,izero ) + &
- 2 * density(x+1,y+1,z+1, izero ,power_y,izero ) + &
- 3 * density(x+1,y+1,z+1, izero ,izero ,power_z) + &
- 4 * density(x+1,y+1,z+1, power_x,power_y,izero ) + &
- 5 * density(x+1,y+1,z+1, power_x,izero ,power_z) + &
- 6 * density(x+1,y+1,z+1, izero ,power_y,power_z) + &
- 7 * density(x+1,y+1,z+1, power_x,power_y,power_z)
- u0 = u
+contains
- uscaled = u * product(cctk_delta_space(:))
+ ! Set the time scaling factor to a sum of powers, ensuring that the
+ ! scaling factor is not zero for t=0. Also, for power_t=0, the
+ ! scaling factor is 1 and has no effect.
+ function density_time_scale (tt) result (tscale)
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL, intent(in) :: tt
+ CCTK_REAL :: tscale
+ integer :: n
+
+ tscale = 1
+ do n = 1, power_t
+ tscale = tscale + tt ** n
+ end do
+ end function density_time_scale
-contains
+ elemental function density_sum (xx, yy, zz) result (res)
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT, parameter :: izero = 0
+ CCTK_REAL, intent(in) :: xx, yy, zz
+ CCTK_REAL :: res
+
+ res = 0 + &
+ 1 * density(xx,yy,zz, power_x,izero ,izero ) + &
+ 2 * density(xx,yy,zz, izero ,power_y,izero ) + &
+ 3 * density(xx,yy,zz, izero ,izero ,power_z) + &
+ 4 * density(xx,yy,zz, power_x,power_y,izero ) + &
+ 5 * density(xx,yy,zz, power_x,izero ,power_z) + &
+ 6 * density(xx,yy,zz, izero ,power_y,power_z) + &
+ 7 * density(xx,yy,zz, power_x,power_y,power_z)
+ end function density_sum
! Calculate an integrand that is polynomial in the coordinates
! (xx,yy,zz), and which is zero if integrated over [0,2]^3
@@ -50,27 +64,182 @@ contains
volume = (xmax - xmin) * (ymax - ymin) * (zmax - zmin)
res = xx**px * yy**py * zz**pz - integral / volume
-
end function density
+end module CarpetProlongateTest
+
+
+
+subroutine CarpetProlongateTest_Init (CCTK_ARGUMENTS)
+ use CarpetProlongateTest
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ print '("CarpetProlongateTest_Init it=",i0," t=",g0.6, " rl=",i0)', &
+ cctk_iteration, cctk_time, nint(log(dble(cctk_levfac(1)))/log(2.0d0))
+
+ ! Add +1 to coordinates so that the domain is not symmetric about
+ ! the origin (which may accidendally cancel out some errors)
+ u = density_time_scale(cctk_time) * density_sum(x+1,y+1,z+1)
+
+ uscaled = u * product(cctk_delta_space(:))
end subroutine CarpetProlongateTest_Init
subroutine CarpetProlongateTest_Diff (CCTK_ARGUMENTS)
+ use CarpetProlongateTest
implicit none
DECLARE_CCTK_ARGUMENTS
+ u0 = density_time_scale(cctk_time) * density_sum(x+1,y+1,z+1)
du = u - u0
end subroutine CarpetProlongateTest_Diff
+subroutine CarpetProlongateTest_InterpInit (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL :: dx, dy, dz
+ integer :: lbnd(3), lsh(3), gsh(3)
+ integer :: i,j,k
+ integer :: ierr
+
+ print '("CarpetProlongateTest_InterpInit it=",i0," t=",g0.6, " rl=",i0)', &
+ cctk_iteration, cctk_time, nint(log(dble(cctk_levfac(1)))/log(2.0d0))
+
+ call CCTK_GrouplbndGN (ierr, cctkGH, 3, lbnd, "CarpetProlongateTest::interp_difference")
+ if (ierr/=0) call CCTK_WARN (0, "internal error")
+ call CCTK_GrouplshGN (ierr, cctkGH, 3, lsh , "CarpetProlongateTest::interp_difference")
+ if (ierr/=0) call CCTK_WARN (0, "internal error")
+ call CCTK_GroupgshGN (ierr, cctkGH, 3, gsh , "CarpetProlongateTest::interp_difference")
+ if (ierr/=0) call CCTK_WARN (0, "internal error")
+
+ dx = (interp_xmax - interp_xmin) / (gsh(1)-1)
+ dy = (interp_ymax - interp_ymin) / (gsh(2)-1)
+ dz = (interp_zmax - interp_zmin) / (gsh(3)-1)
+
+ do k=1,lsh(3)
+ do j=1,lsh(2)
+ do i=1,lsh(1)
+ interp_x(i,j,k) = interp_xmin + (lbnd(1)+i-1) * dx
+ interp_y(i,j,k) = interp_ymin + (lbnd(2)+j-1) * dy
+ interp_z(i,j,k) = interp_zmin + (lbnd(3)+k-1) * dz
+ end do
+ end do
+ end do
+end subroutine CarpetProlongateTest_InterpInit
+
+subroutine CarpetProlongateTest_Interp (CCTK_ARGUMENTS)
+ use cctk
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer :: lsh(3)
+
+ integer :: len_interpolator
+ integer :: len_interpolator_options
+ character :: fort_interpolator*100
+ character :: fort_interpolator_options*1000
+ integer :: coord_handle
+ integer :: interp_handle
+ integer :: options_table
+
+ integer :: coord_type
+ CCTK_POINTER :: coords(3)
+ integer :: ninputs
+ CCTK_INT :: inputs(1)
+
+ integer :: noutputs
+ CCTK_INT :: output_types(1)
+ CCTK_POINTER :: outputs(1)
+ integer :: npoints
+
+ integer :: ierr
+
+ print '("CarpetProlongateTest_Interp it=",i0," t=",g0.6, " rl=",i0)', &
+ cctk_iteration, cctk_time, nint(log(dble(cctk_levfac(1)))/log(2.0d0))
+
+ call CCTK_GrouplshGN (ierr, cctkGH, 3, lsh, "CarpetProlongateTest::interp_difference")
+ if (ierr/=0) call CCTK_WARN (0, "internal error")
+
+ ! Get coordinate system
+ call CCTK_CoordSystemHandle (coord_handle, "cart3d")
+ if (coord_handle<0) then
+ call CCTK_WARN (0, "Could not obtain coordinate system handle")
+ end if
+
+ ! Get interpolator
+ call CCTK_FortranString &
+ (len_interpolator, interpolator, fort_interpolator)
+ call CCTK_InterpHandle (interp_handle, fort_interpolator)
+ if (interp_handle<0) then
+ call CCTK_WARN (0, "Could not obtain interpolator handle")
+ end if
+
+ ! Get interpolator options
+ call CCTK_FortranString &
+ (len_interpolator_options, interpolator_options, fort_interpolator_options)
+ call Util_TableCreateFromString (options_table, fort_interpolator_options)
+ if (options_table<0) then
+ call CCTK_WARN (0, "Could not create interpolator option table")
+ end if
+
+ npoints = product(lsh)
+
+ coord_type = CCTK_VARIABLE_REAL
+ coords = (/ CCTK_PointerTo(interp_x), CCTK_PointerTo(interp_y), CCTK_PointerTo(interp_z) /)
+
+ ninputs = 1
+ call CCTK_VarIndex(inputs(1), "CarpetProlongateTest::u")
+ if (any(inputs<0)) then
+ call CCTK_WARN (0, "Could not obtain interpolation variable index")
+ end if
+
+ noutputs = 1
+ output_types = (/ CCTK_VARIABLE_REAL /)
+ outputs = (/ CCTK_PointerTo(interp_u) /)
+
+ call CCTK_InterpGridArrays &
+ (ierr, cctkGH, 3, &
+ interp_handle, options_table, coord_handle, &
+ npoints, coord_type, coords, &
+ ninputs, inputs, &
+ noutputs, output_types, outputs)
+
+ if (ierr/=0) then
+ call CCTK_WARN (0, "Interpolator error")
+ end if
+end subroutine CarpetProlongateTest_Interp
+
+subroutine CarpetProlongateTest_InterpDiff (CCTK_ARGUMENTS)
+ use CarpetProlongateTest
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+
+ print '("CarpetProlongateTest_InterpDiff it=",i0," t=",g0.6, " rl=",i0)', &
+ cctk_iteration, cctk_time, nint(log(dble(cctk_levfac(1)))/log(2.0d0))
+
+ interp_u0 = &
+ density_time_scale(cctk_time) * &
+ density_sum(interp_x+1,interp_y+1,interp_z+1)
+ interp_du = interp_u - interp_u0
+end subroutine CarpetProlongateTest_InterpDiff
+
+
+
subroutine CarpetProlongateTest_NormInit (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
errornorm = 0
+ interp_errornorm = 0
end subroutine CarpetProlongateTest_NormInit
subroutine CarpetProlongateTest_NormCalc (CCTK_ARGUMENTS)
@@ -78,6 +247,7 @@ subroutine CarpetProlongateTest_NormCalc (CCTK_ARGUMENTS)
DECLARE_CCTK_ARGUMENTS
errornorm = max (errornorm, maxval(abs(du)))
+ interp_errornorm = max (interp_errornorm, maxval(abs(interp_du)))
end subroutine CarpetProlongateTest_NormCalc
subroutine CarpetProlongateTest_NormReduce (CCTK_ARGUMENTS)
@@ -92,10 +262,18 @@ subroutine CarpetProlongateTest_NormReduce (CCTK_ARGUMENTS)
if (max_handle < 0) then
call CCTK_WARN (CCTK_WARN_ABORT, "Could not obtain norm handle")
end if
+
call CCTK_ReduceLocScalar &
(ierr, cctkGH, -1, max_handle, errornorm, tmp, CCTK_VARIABLE_REAL)
if (ierr/=0) then
call CCTK_WARN (CCTK_WARN_ABORT, "Could not evaluate norm")
end if
errornorm = tmp
+
+ call CCTK_ReduceLocScalar &
+ (ierr, cctkGH, -1, max_handle, interp_errornorm, tmp, CCTK_VARIABLE_REAL)
+ if (ierr/=0) then
+ call CCTK_WARN (CCTK_WARN_ABORT, "Could not evaluate norm")
+ end if
+ interp_errornorm = tmp
end subroutine CarpetProlongateTest_NormReduce
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp.par b/CarpetExtra/CarpetProlongateTest/test/test_interp.par
new file mode 100644
index 000000000..06e11e855
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp.par
@@ -0,0 +1,112 @@
+Cactus::cctk_itlast = 512
+
+
+
+ActiveThorns = "IOUtil"
+
+IO::out_dir = $parfile
+
+
+
+ActiveThorns = "AEILocalInterp"
+
+ActiveThorns = "InitBase"
+InitBase::initial_data_setup_method = "init_single_level"
+
+ActiveThorns = "LoopControl"
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetInterp CarpetReduce"
+
+Carpet::domain_from_coordbase = yes
+Carpet::max_refinement_levels = 10
+
+driver::ghost_size = 2
+Carpet::use_buffer_zones = yes
+
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+Carpet::init_each_timelevel = yes
+
+Carpet::poison_new_timelevels = yes
+CarpetLib::poison_new_memory = yes
+
+
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase"
+
+CoordBase::domainsize = "minmax"
+
+CoordBase::xmin = -1.00
+CoordBase::ymin = -1.00
+CoordBase::zmin = -1.00
+CoordBase::xmax = +1.00
+CoordBase::ymax = +1.00
+CoordBase::zmax = +1.00
+CoordBase::dx = 0.02
+CoordBase::dy = 0.02
+CoordBase::dz = 0.02
+
+CoordBase::boundary_size_x_lower = 2
+CoordBase::boundary_size_y_lower = 2
+CoordBase::boundary_size_z_lower = 2
+CoordBase::boundary_size_x_upper = 2
+CoordBase::boundary_size_y_upper = 2
+CoordBase::boundary_size_z_upper = 2
+
+CartGrid3D::type = "coordbase"
+
+
+
+ActiveThorns = "SphericalSurface"
+
+
+
+ActiveThorns = "CarpetRegrid2 CarpetTracker"
+
+CarpetRegrid2::regrid_every = 0
+CarpetRegrid2::verbose = yes
+
+CarpetRegrid2::num_centres = 1
+
+CarpetRegrid2::num_levels_1 = 2
+CarpetRegrid2::radius_1[1] = 0.2
+
+
+
+ActiveThorns = "MoL"
+
+
+
+ActiveThorns = "CarpetProlongateTest"
+
+CarpetProlongateTest::power_x = 3
+CarpetProlongateTest::power_y = 3
+CarpetProlongateTest::power_z = 3
+CarpetProlongateTest::power_t = 2
+
+CarpetProlongateTest::interpolator_options = "order=4"
+
+
+
+ActiveThorns = "CarpetIOASCII"
+
+IOASCII::one_file_per_group = yes
+
+IOASCII::out0D_every = 1
+IOASCII::out0D_vars = "
+ CarpetProlongateTest::interp_errornorm
+"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "
+ CarpetProlongateTest::scalar
+ CarpetProlongateTest::interp_difference
+"
+
+IOASCII::out3D_every = 1
+IOASCII::out3D_vars = "
+ CarpetProlongateTest::interp_difference
+"
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.d.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.d.asc
new file mode 100644
index 000000000..f5cc4eeaf
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.d.asc
@@ -0,0 +1,633 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_DIFFERENCE d (carpetprolongatetest::interp_difference)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+#
+#
+#
+#
+#
+#
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+# iteration 256
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+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+# iteration 512
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+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.x.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.x.asc
new file mode 100644
index 000000000..57338b69e
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.x.asc
@@ -0,0 +1,36 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_DIFFERENCE x (carpetprolongatetest::interp_difference)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+0 0 0 0 0 3 0 0 0 3 0 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+
+
+# iteration 256
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+256 0 0 0 0 3 0 0 0.5 3 0 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.xyz.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.xyz.asc
new file mode 100644
index 000000000..b2003feb8
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.xyz.asc
@@ -0,0 +1,276 @@
+# 3D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_DIFFERENCE x y z (carpetprolongatetest::interp_difference)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+
+
+
+
+# iteration 256
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
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+
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+256 0 0 0 0 3 2 1 0.5 3 2 1 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
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+256 0 0 0 0 1 3 1 0.5 1 3 1 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 3 1 0.5 2 3 1 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 3 1 0.5 3 3 1 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+256 0 0 0 0 0 0 2 0.5 0 0 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 0 2 0.5 1 0 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 0 2 0.5 2 0 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 0 2 0.5 3 0 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+256 0 0 0 0 0 1 2 0.5 0 1 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 1 2 0.5 1 1 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 1 2 0.5 2 1 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 1 2 0.5 3 1 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
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+256 0 0 0 0 1 2 2 0.5 1 2 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 2 2 0.5 2 2 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 2 2 0.5 3 2 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+256 0 0 0 0 0 3 2 0.5 0 3 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 3 2 0.5 1 3 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 3 2 0.5 2 3 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 3 2 0.5 3 3 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+256 0 0 0 0 0 0 3 0.5 0 0 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 0 3 0.5 1 0 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 0 3 0.5 2 0 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 0 3 0.5 3 0 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+256 0 0 0 0 0 1 3 0.5 0 1 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 1 3 0.5 1 1 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 1 3 0.5 2 1 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 1 3 0.5 3 1 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+256 0 0 0 0 0 2 3 0.5 0 2 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 2 3 0.5 1 2 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 2 3 0.5 2 2 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 2 3 0.5 3 2 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+256 0 0 0 0 0 3 3 0.5 0 3 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 1 3 3 0.5 1 3 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 2 3 3 0.5 2 3 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 3 3 3 0.5 3 3 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+512 0 0 0 0 0 0 0 1 0 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 1 0 0 1 1 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 2 0 0 1 2 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 0 0 1 3 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+512 0 0 0 0 0 1 0 1 0 1 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 1 1 0 1 1 1 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 2 1 0 1 2 1 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 1 0 1 3 1 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+512 0 0 0 0 0 2 0 1 0 2 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 1 2 0 1 1 2 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 2 2 0 1 2 2 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 2 0 1 3 2 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
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+512 0 0 0 0 2 3 0 1 2 3 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 3 0 1 3 3 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+
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+512 0 0 0 0 3 0 1 1 3 0 1 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
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+
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+
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+
+
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+512 0 0 0 0 3 0 2 1 3 0 2 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+512 0 0 0 0 0 1 2 1 0 1 2 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
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+
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+
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+512 0 0 0 0 3 3 2 1 3 3 2 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+
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+
+512 0 0 0 0 0 1 3 1 0 1 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
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+512 0 0 0 0 2 1 3 1 2 1 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 1 3 1 3 1 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+512 0 0 0 0 0 2 3 1 0 2 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 1 2 3 1 1 2 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 2 2 3 1 2 2 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 2 3 1 3 2 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+512 0 0 0 0 0 3 3 1 0 3 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 1 3 3 1 1 3 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 2 3 3 1 2 3 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 3 3 3 1 3 3 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+
+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.y.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.y.asc
new file mode 100644
index 000000000..e36409006
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.y.asc
@@ -0,0 +1,36 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_DIFFERENCE y (carpetprolongatetest::interp_difference)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+0 0 0 0 0 0 0 0 0 0 0 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 1 0 0 0 1 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 2 0 0 0 2 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 3 0 0 0 3 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+
+
+# iteration 256
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+256 0 0 0 0 0 0 0 0.5 0 0 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 1 0 0.5 0 1 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 2 0 0.5 0 2 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 3 0 0.5 0 3 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+512 0 0 0 0 0 0 0 1 0 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 1 0 1 0 1 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 2 0 1 0 2 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 3 0 1 0 3 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.z.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.z.asc
new file mode 100644
index 000000000..24228188f
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_difference.z.asc
@@ -0,0 +1,36 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_DIFFERENCE z (carpetprolongatetest::interp_difference)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+0 0 0 0 0 0 0 0 0 0 0 0 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 0 1 0 0 0 1 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 0 2 0 0 0 2 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+0 0 0 0 0 0 0 3 0 0 0 3 -0.5 -0.5 -0.5 -127.001953125 -127.001953125 0
+
+
+# iteration 256
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+256 0 0 0 0 0 0 0 0.5 0 0 0 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 0 1 0.5 0 0 1 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 0 2 0.5 0 0 2 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+256 0 0 0 0 0 0 3 0.5 0 0 3 -0.5 -0.5 -0.5 -127.250488288701 -127.250488288701 0
+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_x 14:interp_y 15:interp_z 16:interp_u 17:interp_u0 18:interp_du
+512 0 0 0 0 0 0 0 1 0 0 0 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 0 1 1 0 0 1 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 0 2 1 0 0 2 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+512 0 0 0 0 0 0 3 1 0 0 3 -0.5 -0.5 -0.5 -381.005859375 -381.005859375 0
+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_errornorm..asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_errornorm..asc
new file mode 100644
index 000000000..91e7a51dc
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::interp_errornorm..asc
@@ -0,0 +1,24 @@
+# 0D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::INTERP_ERRORNORM (carpetprolongatetest::interp_errornorm)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_errornorm
+0 0 0 0 0 0 0 0 0 0 0 0 0
+
+# iteration 256
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_errornorm
+256 0 0 0 0 0 0 0 0.5 0 0 0 0
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:interp_errornorm
+512 0 0 0 0 0 0 0 1 0 0 0 0
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.d.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.d.asc
new file mode 100644
index 000000000..c4162d01c
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.d.asc
@@ -0,0 +1,851 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::SCALAR d (carpetprolongatetest::scalar)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
+0 0 0 0 0 0 0 0 0 -1.02 -1.02 -1.02 -128.00004799904
+0 0 0 0 0 512 512 512 0 -1 -1 -1 -128
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diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.x.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.x.asc
new file mode 100644
index 000000000..7023aab12
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.x.asc
@@ -0,0 +1,401 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::SCALAR x (carpetprolongatetest::scalar)
+#
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+
+# iteration 512
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+
+# iteration 512
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+512 0 1 0 0 32512 26112 26112 1 0.25 0 0 -251.390625
+512 0 1 0 0 32768 26112 26112 1 0.26 0 0 -248.980824
+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.y.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.y.asc
new file mode 100644
index 000000000..34d178d4d
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.y.asc
@@ -0,0 +1,401 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::SCALAR y (carpetprolongatetest::scalar)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+
+# iteration 256
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+
+# iteration 512
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.z.asc b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.z.asc
new file mode 100644
index 000000000..ea31704b0
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/carpetprolongatetest::scalar.z.asc
@@ -0,0 +1,401 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on erik-schnetters-macbook-pro.local by eschnett on Mar 07 2011 at 14:52:05-0500
+# parameter filename: "../../arrangements/CarpetExtra/CarpetProlongateTest/test/test_interp.par"
+#
+# CARPETPROLONGATETEST::SCALAR z (carpetprolongatetest::scalar)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+
+
+# iteration 256
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
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+256 0 1 0 0 26112 26112 31744 0.5 0 0 0.22 -145.017586
+256 0 1 0 0 26112 26112 32000 0.5 0 0 0.23 -143.36313775
+256 0 1 0 0 26112 26112 32256 0.5 0 0 0.24 -141.681568
+256 0 1 0 0 26112 26112 32512 0.5 0 0 0.25 -139.97265625
+256 0 1 0 0 26112 26112 32768 0.5 0 0 0.26 -138.236182
+
+
+# iteration 512
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
+512 0 0 0 0 26112 26112 0 1 0 0 -1.02 -363.000504
+512 0 0 0 0 26112 26112 512 1 0 0 -1 -363
+512 0 0 0 0 26112 26112 1024 1 0 0 -0.98 -362.999496
+512 0 0 0 0 26112 26112 1536 1 0 0 -0.96 -362.995968
+512 0 0 0 0 26112 26112 2048 1 0 0 -0.94 -362.986392
+512 0 0 0 0 26112 26112 2560 1 0 0 -0.92 -362.967744
+512 0 0 0 0 26112 26112 3072 1 0 0 -0.9 -362.937
+512 0 0 0 0 26112 26112 3584 1 0 0 -0.88 -362.891136
+512 0 0 0 0 26112 26112 4096 1 0 0 -0.86 -362.827128
+512 0 0 0 0 26112 26112 4608 1 0 0 -0.84 -362.741952
+512 0 0 0 0 26112 26112 5120 1 0 0 -0.82 -362.632584
+512 0 0 0 0 26112 26112 5632 1 0 0 -0.8 -362.496
+512 0 0 0 0 26112 26112 6144 1 0 0 -0.78 -362.329176
+512 0 0 0 0 26112 26112 6656 1 0 0 -0.76 -362.129088
+512 0 0 0 0 26112 26112 7168 1 0 0 -0.74 -361.892712
+512 0 0 0 0 26112 26112 7680 1 0 0 -0.72 -361.617024
+512 0 0 0 0 26112 26112 8192 1 0 0 -0.7 -361.299
+512 0 0 0 0 26112 26112 8704 1 0 0 -0.68 -360.935616
+512 0 0 0 0 26112 26112 9216 1 0 0 -0.66 -360.523848
+512 0 0 0 0 26112 26112 9728 1 0 0 -0.64 -360.060672
+512 0 0 0 0 26112 26112 10240 1 0 0 -0.62 -359.543064
+512 0 0 0 0 26112 26112 10752 1 0 0 -0.6 -358.968
+512 0 0 0 0 26112 26112 11264 1 0 0 -0.58 -358.332456
+512 0 0 0 0 26112 26112 11776 1 0 0 -0.56 -357.633408
+512 0 0 0 0 26112 26112 12288 1 0 0 -0.54 -356.867832
+512 0 0 0 0 26112 26112 12800 1 0 0 -0.52 -356.032704
+512 0 0 0 0 26112 26112 13312 1 0 0 -0.5 -355.125
+512 0 0 0 0 26112 26112 13824 1 0 0 -0.48 -354.141696
+512 0 0 0 0 26112 26112 14336 1 0 0 -0.46 -353.079768
+512 0 0 0 0 26112 26112 14848 1 0 0 -0.44 -351.936192
+512 0 0 0 0 26112 26112 15360 1 0 0 -0.42 -350.707944
+512 0 0 0 0 26112 26112 15872 1 0 0 -0.4 -349.392
+512 0 0 0 0 26112 26112 16384 1 0 0 -0.38 -347.985336
+512 0 0 0 0 26112 26112 16896 1 0 0 -0.36 -346.484928
+512 0 0 0 0 26112 26112 17408 1 0 0 -0.34 -344.887752
+512 0 0 0 0 26112 26112 17920 1 0 0 -0.32 -343.190784
+512 0 0 0 0 26112 26112 18432 1 0 0 -0.3 -341.391
+512 0 0 0 0 26112 26112 18944 1 0 0 -0.28 -339.485376
+512 0 0 0 0 26112 26112 19456 1 0 0 -0.26 -337.470888
+512 0 0 0 0 26112 26112 19968 1 0 0 -0.24 -335.344512
+512 0 0 0 0 26112 26112 20480 1 0 0 -0.22 -333.103224
+512 0 0 0 0 26112 26112 20992 1 0 0 -0.2 -330.744
+512 0 0 0 0 26112 26112 21504 1 0 0 -0.18 -328.263816
+512 0 0 0 0 26112 26112 22016 1 0 0 -0.16 -325.659648
+512 0 0 0 0 26112 26112 22528 1 0 0 -0.14 -322.928472
+512 0 0 0 0 26112 26112 23040 1 0 0 -0.12 -320.067264
+512 0 0 0 0 26112 26112 23552 1 0 0 -0.1 -317.073
+512 0 0 0 0 26112 26112 24064 1 0 0 -0.08 -313.942656
+512 0 0 0 0 26112 26112 24576 1 0 0 -0.06 -310.673208
+512 0 0 0 0 26112 26112 25088 1 0 0 -0.04 -307.261632
+512 0 0 0 0 26112 26112 25600 1 0 0 -0.02 -303.704904
+512 0 0 0 0 26112 26112 26112 1 0 0 0 -300
+512 0 0 0 0 26112 26112 26624 1 0 0 0.02 -296.143896
+512 0 0 0 0 26112 26112 27136 1 0 0 0.04 -292.133568
+512 0 0 0 0 26112 26112 27648 1 0 0 0.06 -287.965992
+512 0 0 0 0 26112 26112 28160 1 0 0 0.08 -283.638144
+512 0 0 0 0 26112 26112 28672 1 0 0 0.1 -279.147
+512 0 0 0 0 26112 26112 29184 1 0 0 0.12 -274.489536
+512 0 0 0 0 26112 26112 29696 1 0 0 0.14 -269.662728
+512 0 0 0 0 26112 26112 30208 1 0 0 0.16 -264.663552
+512 0 0 0 0 26112 26112 30720 1 0 0 0.18 -259.488984
+512 0 0 0 0 26112 26112 31232 1 0 0 0.2 -254.136
+512 0 0 0 0 26112 26112 31744 1 0 0 0.22 -248.601576
+512 0 0 0 0 26112 26112 32256 1 0 0 0.24 -242.882688
+512 0 0 0 0 26112 26112 32768 1 0 0 0.26 -236.976312
+512 0 0 0 0 26112 26112 33280 1 0 0 0.28 -230.879424
+512 0 0 0 0 26112 26112 33792 1 0 0 0.3 -224.589
+512 0 0 0 0 26112 26112 34304 1 0 0 0.32 -218.102016
+512 0 0 0 0 26112 26112 34816 1 0 0 0.34 -211.415448
+512 0 0 0 0 26112 26112 35328 1 0 0 0.36 -204.526272
+512 0 0 0 0 26112 26112 35840 1 0 0 0.38 -197.431464
+512 0 0 0 0 26112 26112 36352 1 0 0 0.4 -190.128
+512 0 0 0 0 26112 26112 36864 1 0 0 0.42 -182.612856
+512 0 0 0 0 26112 26112 37376 1 0 0 0.44 -174.883008
+512 0 0 0 0 26112 26112 37888 1 0 0 0.46 -166.935432
+512 0 0 0 0 26112 26112 38400 1 0 0 0.48 -158.767104
+512 0 0 0 0 26112 26112 38912 1 0 0 0.5 -150.375
+512 0 0 0 0 26112 26112 39424 1 0 0 0.52 -141.756096
+512 0 0 0 0 26112 26112 39936 1 0 0 0.54 -132.907368
+512 0 0 0 0 26112 26112 40448 1 0 0 0.56 -123.825792
+512 0 0 0 0 26112 26112 40960 1 0 0 0.58 -114.508344
+512 0 0 0 0 26112 26112 41472 1 0 0 0.6 -104.952
+512 0 0 0 0 26112 26112 41984 1 0 0 0.62 -95.1537359999999
+512 0 0 0 0 26112 26112 42496 1 0 0 0.64 -85.110528
+512 0 0 0 0 26112 26112 43008 1 0 0 0.66 -74.819352
+512 0 0 0 0 26112 26112 43520 1 0 0 0.68 -64.277184
+512 0 0 0 0 26112 26112 44032 1 0 0 0.7 -53.4810000000001
+512 0 0 0 0 26112 26112 44544 1 0 0 0.72 -42.427776
+512 0 0 0 0 26112 26112 45056 1 0 0 0.74 -31.114488
+512 0 0 0 0 26112 26112 45568 1 0 0 0.76 -19.538112
+512 0 0 0 0 26112 26112 46080 1 0 0 0.78 -7.69562399999997
+512 0 0 0 0 26112 26112 46592 1 0 0 0.8 4.41600000000005
+512 0 0 0 0 26112 26112 47104 1 0 0 0.82 16.7997840000001
+512 0 0 0 0 26112 26112 47616 1 0 0 0.84 29.458752
+512 0 0 0 0 26112 26112 48128 1 0 0 0.86 42.3959280000001
+512 0 0 0 0 26112 26112 48640 1 0 0 0.88 55.6143360000001
+512 0 0 0 0 26112 26112 49152 1 0 0 0.9 69.1169999999999
+512 0 0 0 0 26112 26112 49664 1 0 0 0.92 82.906944
+512 0 0 0 0 26112 26112 50176 1 0 0 0.94 96.987192
+512 0 0 0 0 26112 26112 50688 1 0 0 0.96 111.360768
+512 0 0 0 0 26112 26112 51200 1 0 0 0.98 126.030696
+512 0 0 0 0 26112 26112 51712 1 0 0 1 141
+512 0 0 0 0 26112 26112 52224 1 0 0 1.02 156.271704
+
+
+# iteration 512
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
+# data columns: 13:u
+512 0 1 0 0 26112 26112 19456 1 0 0 -0.26 -337.470888
+512 0 1 0 0 26112 26112 19712 1 0 0 -0.25 -336.421875
+512 0 1 0 0 26112 26112 19968 1 0 0 -0.24 -335.344512
+512 0 1 0 0 26112 26112 20224 1 0 0 -0.23 -334.238421
+512 0 1 0 0 26112 26112 20480 1 0 0 -0.22 -333.103224
+512 0 1 0 0 26112 26112 20736 1 0 0 -0.21 -331.938543
+512 0 1 0 0 26112 26112 20992 1 0 0 -0.2 -330.744
+512 0 1 0 0 26112 26112 21248 1 0 0 -0.19 -329.519217
+512 0 1 0 0 26112 26112 21504 1 0 0 -0.18 -328.263816
+512 0 1 0 0 26112 26112 21760 1 0 0 -0.17 -326.977419
+512 0 1 0 0 26112 26112 22016 1 0 0 -0.16 -325.659648
+512 0 1 0 0 26112 26112 22272 1 0 0 -0.15 -324.310125
+512 0 1 0 0 26112 26112 22528 1 0 0 -0.14 -322.928472
+512 0 1 0 0 26112 26112 22784 1 0 0 -0.13 -321.514311
+512 0 1 0 0 26112 26112 23040 1 0 0 -0.12 -320.067264
+512 0 1 0 0 26112 26112 23296 1 0 0 -0.11 -318.586953
+512 0 1 0 0 26112 26112 23552 1 0 0 -0.1 -317.073
+512 0 1 0 0 26112 26112 23808 1 0 0 -0.09 -315.525027
+512 0 1 0 0 26112 26112 24064 1 0 0 -0.08 -313.942656
+512 0 1 0 0 26112 26112 24320 1 0 0 -0.07 -312.325509
+512 0 1 0 0 26112 26112 24576 1 0 0 -0.06 -310.673208
+512 0 1 0 0 26112 26112 24832 1 0 0 -0.05 -308.985375
+512 0 1 0 0 26112 26112 25088 1 0 0 -0.04 -307.261632
+512 0 1 0 0 26112 26112 25344 1 0 0 -0.03 -305.501601
+512 0 1 0 0 26112 26112 25600 1 0 0 -0.02 -303.704904
+512 0 1 0 0 26112 26112 25856 1 0 0 -0.01 -301.871163
+512 0 1 0 0 26112 26112 26112 1 0 0 0 -300
+512 0 1 0 0 26112 26112 26368 1 0 0 0.01 -298.091037
+512 0 1 0 0 26112 26112 26624 1 0 0 0.02 -296.143896
+512 0 1 0 0 26112 26112 26880 1 0 0 0.03 -294.158199
+512 0 1 0 0 26112 26112 27136 1 0 0 0.04 -292.133568
+512 0 1 0 0 26112 26112 27392 1 0 0 0.05 -290.069625
+512 0 1 0 0 26112 26112 27648 1 0 0 0.06 -287.965992
+512 0 1 0 0 26112 26112 27904 1 0 0 0.07 -285.822291
+512 0 1 0 0 26112 26112 28160 1 0 0 0.08 -283.638144
+512 0 1 0 0 26112 26112 28416 1 0 0 0.09 -281.413173
+512 0 1 0 0 26112 26112 28672 1 0 0 0.1 -279.147
+512 0 1 0 0 26112 26112 28928 1 0 0 0.11 -276.839247
+512 0 1 0 0 26112 26112 29184 1 0 0 0.12 -274.489536
+512 0 1 0 0 26112 26112 29440 1 0 0 0.13 -272.097489
+512 0 1 0 0 26112 26112 29696 1 0 0 0.14 -269.662728
+512 0 1 0 0 26112 26112 29952 1 0 0 0.15 -267.184875
+512 0 1 0 0 26112 26112 30208 1 0 0 0.16 -264.663552
+512 0 1 0 0 26112 26112 30464 1 0 0 0.17 -262.098381
+512 0 1 0 0 26112 26112 30720 1 0 0 0.18 -259.488984
+512 0 1 0 0 26112 26112 30976 1 0 0 0.19 -256.834983
+512 0 1 0 0 26112 26112 31232 1 0 0 0.2 -254.136
+512 0 1 0 0 26112 26112 31488 1 0 0 0.21 -251.391657
+512 0 1 0 0 26112 26112 31744 1 0 0 0.22 -248.601576
+512 0 1 0 0 26112 26112 32000 1 0 0 0.23 -245.765379
+512 0 1 0 0 26112 26112 32256 1 0 0 0.24 -242.882688
+512 0 1 0 0 26112 26112 32512 1 0 0 0.25 -239.953125
+512 0 1 0 0 26112 26112 32768 1 0 0 0.26 -236.976312
+
+
diff --git a/CarpetExtra/CarpetProlongateTest/test/test_interp/test_interp.par b/CarpetExtra/CarpetProlongateTest/test/test_interp/test_interp.par
new file mode 100644
index 000000000..06e11e855
--- /dev/null
+++ b/CarpetExtra/CarpetProlongateTest/test/test_interp/test_interp.par
@@ -0,0 +1,112 @@
+Cactus::cctk_itlast = 512
+
+
+
+ActiveThorns = "IOUtil"
+
+IO::out_dir = $parfile
+
+
+
+ActiveThorns = "AEILocalInterp"
+
+ActiveThorns = "InitBase"
+InitBase::initial_data_setup_method = "init_single_level"
+
+ActiveThorns = "LoopControl"
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetInterp CarpetReduce"
+
+Carpet::domain_from_coordbase = yes
+Carpet::max_refinement_levels = 10
+
+driver::ghost_size = 2
+Carpet::use_buffer_zones = yes
+
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+Carpet::init_each_timelevel = yes
+
+Carpet::poison_new_timelevels = yes
+CarpetLib::poison_new_memory = yes
+
+
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase"
+
+CoordBase::domainsize = "minmax"
+
+CoordBase::xmin = -1.00
+CoordBase::ymin = -1.00
+CoordBase::zmin = -1.00
+CoordBase::xmax = +1.00
+CoordBase::ymax = +1.00
+CoordBase::zmax = +1.00
+CoordBase::dx = 0.02
+CoordBase::dy = 0.02
+CoordBase::dz = 0.02
+
+CoordBase::boundary_size_x_lower = 2
+CoordBase::boundary_size_y_lower = 2
+CoordBase::boundary_size_z_lower = 2
+CoordBase::boundary_size_x_upper = 2
+CoordBase::boundary_size_y_upper = 2
+CoordBase::boundary_size_z_upper = 2
+
+CartGrid3D::type = "coordbase"
+
+
+
+ActiveThorns = "SphericalSurface"
+
+
+
+ActiveThorns = "CarpetRegrid2 CarpetTracker"
+
+CarpetRegrid2::regrid_every = 0
+CarpetRegrid2::verbose = yes
+
+CarpetRegrid2::num_centres = 1
+
+CarpetRegrid2::num_levels_1 = 2
+CarpetRegrid2::radius_1[1] = 0.2
+
+
+
+ActiveThorns = "MoL"
+
+
+
+ActiveThorns = "CarpetProlongateTest"
+
+CarpetProlongateTest::power_x = 3
+CarpetProlongateTest::power_y = 3
+CarpetProlongateTest::power_z = 3
+CarpetProlongateTest::power_t = 2
+
+CarpetProlongateTest::interpolator_options = "order=4"
+
+
+
+ActiveThorns = "CarpetIOASCII"
+
+IOASCII::one_file_per_group = yes
+
+IOASCII::out0D_every = 1
+IOASCII::out0D_vars = "
+ CarpetProlongateTest::interp_errornorm
+"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "
+ CarpetProlongateTest::scalar
+ CarpetProlongateTest::interp_difference
+"
+
+IOASCII::out3D_every = 1
+IOASCII::out3D_vars = "
+ CarpetProlongateTest::interp_difference
+"