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authorrhaas <rhaas@f88db872-0e4f-0410-b76b-b9085cfa78c5>2010-04-28 19:46:23 +0000
committerrhaas <rhaas@f88db872-0e4f-0410-b76b-b9085cfa78c5>2010-04-28 19:46:23 +0000
commit31f81eecdba9294723e62ae9dc67997720bf75d7 (patch)
treee064e559a5221b6628c0c37470983959ea6319b2
parentdf5b2fa57db8e2d683be1da5f083d35808e6cb8e (diff)
AHFinderDirect: add recover and checkpoint test suite using McLachlan
copies of AHFinderDirect's recover and checkpoint testsuites modified to use McLachlan instead of MoL_BSSN. Centroid location does not aggree with results in old files, but AH area etc do. Even re-running the old test suites with BSSN_MoL shows differences to the saved data. git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1543 f88db872-0e4f-0410-b76b-b9085cfa78c5
-rw-r--r--test/checkpointML.par111
-rw-r--r--test/checkpointML/BH_diagnostics.ah1.gp44
-rw-r--r--test/checkpointML/checkpoint.chkpt.it_1.h5bin0 -> 7555652 bytes
-rw-r--r--test/checkpointML/h.t0.ah1.gp1228
-rw-r--r--test/checkpointML/h.t1.ah1.gp1228
-rw-r--r--test/checkpointML/phi.d.asc54
-rw-r--r--test/checkpointML/phi.x.asc54
-rw-r--r--test/checkpointML/phi.y.asc78
-rw-r--r--test/checkpointML/phi.z.asc54
-rw-r--r--test/recoverML.par108
-rw-r--r--test/recoverML/BH_diagnostics.ah1.gp43
-rw-r--r--test/recoverML/h.t2.ah1.gp1228
-rw-r--r--test/recoverML/phi.x.asc54
-rw-r--r--test/recoverML/phi.y.asc78
-rw-r--r--test/recoverML/phi.z.asc54
15 files changed, 4416 insertions, 0 deletions
diff --git a/test/checkpointML.par b/test/checkpointML.par
new file mode 100644
index 0000000..f6c8bd8
--- /dev/null
+++ b/test/checkpointML.par
@@ -0,0 +1,111 @@
+# $Header$
+
+# This parameter file sets up Kerr/Kerr-Schild initial data, then
+# finds the apparent horizon in it.
+
+# flesh
+cactus::cctk_itlast = 1
+
+# create output directory
+ActiveThorns = "IOUtil"
+IO::out_dir = $parfile
+IO::parfile_write = "no"
+
+ActiveThorns = "Carpet CarpetLib"
+driver::ghost_size = 3
+driver::global_nx = 19
+driver::global_ny = 31
+driver::global_nz = 19
+
+ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase"
+grid::domain = "bitant"
+grid::avoid_origin = "false"
+grid::type = "byrange"
+grid::xmin = -0.6
+grid::ymin = -3.0
+grid::zmin = -0.6
+grid::xmax = 3.0
+grid::ymax = 3.0
+grid::zmax = 3.0
+
+CoordBase::boundary_size_x_lower = 3
+CoordBase::boundary_size_y_lower = 3
+CoordBase::boundary_size_z_lower = 3
+CoordBase::boundary_size_x_upper = 3
+CoordBase::boundary_size_y_upper = 3
+CoordBase::boundary_size_z_upper = 3
+
+ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN_O2 ML_BSSN_O2_Helper GenericFD TmunuBase NewRad MoL"
+ADMBase::initial_lapse = "exact"
+ADMBase::initial_shift = "exact"
+ADMBase::initial_data = "exact"
+ADMBase::lapse_evolution_method = "ML_BSSN_O2"
+ADMBase::dtlapse_evolution_method = "ML_BSSN_O2"
+ADMBase::shift_evolution_method = "static"
+ADMBase::metric_type = "physical"
+ADMBase::evolution_method = ML_BSSN_O2
+Exact::exact_model = "Kerr/Kerr-Schild"
+Exact::Kerr_KerrSchild__mass = 1.0
+Exact::Kerr_KerrSchild__spin = 0.6
+
+ML_BSSN_O2::my_initial_boundary_condition = "extrapolate-gammas"
+ML_BSSN_O2::my_rhs_boundary_condition = "NewRad"
+# These are necessary
+ML_BSSN_O2::ML_log_confac_bound = "none"
+ML_BSSN_O2::ML_metric_bound = "none"
+ML_BSSN_O2::ML_Gamma_bound = "none"
+ML_BSSN_O2::ML_trace_curv_bound = "none"
+ML_BSSN_O2::ML_curv_bound = "none"
+ML_BSSN_O2::ML_lapse_bound = "none"
+ML_BSSN_O2::ML_dtlapse_bound = "none"
+ML_BSSN_O2::ML_shift_bound = "none"
+ML_BSSN_O2::ML_dtshift_bound = "none"
+
+ML_BSSN_O2::harmonicN = 1 # 1+log
+ML_BSSN_O2::LapseAdvectionCoeff = 1
+
+
+ActiveThorns = "Time"
+Time::dtfac = 0.25
+
+ActiveThorns = "SphericalSurface NoExcision"
+NoExcision::num_regions = 1
+NoExcision::radius[0] = 1.01
+
+ActiveThorns = "CarpetIOASCII"
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "ML_BSSN_O2::phi"
+
+ActiveThorns = "CarpetIOHDF5"
+IOHDF5::checkpoint = yes
+IO::checkpoint_dir = $parfile
+IO::checkpoint_every = 1
+IO::checkpoint_keep = -1
+
+########################################
+
+ActiveThorns = "SphericalSurface"
+
+ActiveThorns = "LocalInterp AEILocalInterp CarpetInterp GSL LoopControl CarpetReduce AHFinderDirect"
+
+AHFinderDirect::print_timing_stats = "true"
+
+AHFinderDirect::h_base_file_name = "h"
+AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics"
+AHFinderDirect::output_OpenDX_control_files = "no"
+AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
+
+AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation"
+AHFinderDirect::geometry_interpolator_pars = "order=4"
+
+AHFinderDirect::N_horizons = 1
+
+AHFinderDirect::origin_x[1] = 0.5
+AHFinderDirect::origin_y[1] = 0.7
+AHFinderDirect::origin_z[1] = 0.0
+
+AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
+AHFinderDirect::initial_guess__coord_sphere__x_center[1] = -0.2
+AHFinderDirect::initial_guess__coord_sphere__y_center[1] = 0.3
+AHFinderDirect::initial_guess__coord_sphere__z_center[1] = 0.0
+AHFinderDirect::initial_guess__coord_sphere__radius[1] = 2.0
diff --git a/test/checkpointML/BH_diagnostics.ah1.gp b/test/checkpointML/BH_diagnostics.ah1.gp
new file mode 100644
index 0000000..9e47031
--- /dev/null
+++ b/test/checkpointML/BH_diagnostics.ah1.gp
@@ -0,0 +1,44 @@
+# apparent horizon 1/1
+#
+# column 1 = cctk_iteration
+# column 2 = cctk_time
+# column 3 = centroid_x
+# column 4 = centroid_y
+# column 5 = centroid_z
+# column 6 = min radius
+# column 7 = max radius
+# column 8 = mean radius
+# column 9 = quadrupole_xx
+# column 10 = quadrupole_xy
+# column 11 = quadrupole_xz
+# column 12 = quadrupole_yy
+# column 13 = quadrupole_yz
+# column 14 = quadrupole_zz
+# column 15 = min x
+# column 16 = max x
+# column 17 = min y
+# column 18 = max y
+# column 19 = min z
+# column 20 = max z
+# column 21 = xy-plane circumference
+# column 22 = xz-plane circumference
+# column 23 = yz-plane circumference
+# column 24 = ratio of xz/xy-plane circumferences
+# column 25 = ratio of yz/xy-plane circumferences
+# column 26 = area
+# column 27 = m_irreducible
+# column 28 = areal radius
+# column 29 = expansion Theta_(l)
+# column 30 = inner expansion Theta_(n)
+# column 31 = product of the expansions
+# column 32 = mean curvature
+# column 33 = gradient of the areal radius
+# column 34 = gradient of the expansion Theta_(l)
+# column 35 = gradient of the inner expansion Theta_(n)
+# column 36 = gradient of the product of the expansions
+# column 37 = gradient of the mean curvature
+# column 38 = minimum of the mean curvature
+# column 39 = maximum of the mean curvature
+# column 40 = integral of the mean curvature
+0 0.000 0.000026 -0.000015 0.000000 1.037139320 2.757524590 1.996579363 1.199949913 6.283368642e-06 0.000000000 1.199974249 0.000000000 1.079996592 -1.896328144 1.896647535 -1.896824246 1.896373563 -1.799355580 1.799355580 12.56610970 10.83742075 11.22769627 0.8624324474 0.8934902314 45.23801158 0.9486736240 1.897347248 2.406638671e-15 -1.470481275 -3.490269007e-15 0.7352406373 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071617693 0.7479415843 33.19259317
+1 0.050 0.000025 -0.000013 0.000000 1.036857121 2.757240506 1.996330190 1.199615195 6.703243210e-06 0.000000000 1.199637694 0.000000000 1.079671314 -1.896108949 1.896429088 -1.896604279 1.896161727 -1.799116924 1.799116924 12.56688447 10.83730608 11.22781210 0.8623701523 0.8934443640 45.23782927 0.9486717123 1.897343425 3.998981738e-15 -1.469807862 -5.914267298e-15 0.7349039310 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7069539534 0.7477683183 33.17754261
diff --git a/test/checkpointML/checkpoint.chkpt.it_1.h5 b/test/checkpointML/checkpoint.chkpt.it_1.h5
new file mode 100644
index 0000000..29d6e89
--- /dev/null
+++ b/test/checkpointML/checkpoint.chkpt.it_1.h5
Binary files differ
diff --git a/test/checkpointML/h.t0.ah1.gp b/test/checkpointML/h.t0.ah1.gp
new file mode 100644
index 0000000..6370850
--- /dev/null
+++ b/test/checkpointML/h.t0.ah1.gp
@@ -0,0 +1,1228 @@
+# N_patches = 5
+# origin = 0.5 0.7 0
+
+### +z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -45 2.45809562013366 -0.9191821680 -0.7191821680 1.419182168
+-40 -45 2.43573429203406 -0.7428909189 -0.7812197178 1.481219718
+-35 -45 2.41003745132246 -0.5693639988 -0.8272100633 1.527210063
+-30 -45 2.38181144916504 -0.4002401092 -0.8592616081 1.559261608
+-25 -45 2.35162920291686 -0.2364023683 -0.8792199752 1.579219975
+-20 -45 2.31987692593722 -0.07821440551 -0.8886310227 1.588631023
+-15 -45 2.28679517811295 0.07429755506 -0.8887431534 1.588743153
+-10 -45 2.25251342934055 0.2213099604 -0.8805297547 1.580529755
+-5 -45 2.21707570291486 0.3631049194 -0.8647179313 1.564717931
+0 -45 2.18045705242161 0.5000000000 -0.8418159679 1.541815968
+5 -45 2.14257859859378 0.6322951984 -0.8121410370 1.512141037
+10 -45 2.10332348339889 0.7602316582 -0.7758470720 1.475847072
+15 -45 2.06254112440309 0.8839560306 -0.7329434142 1.432943414
+20 -45 2.02005677401471 1.003486161 -0.6833168575 1.383316857
+25 -45 1.97568052568669 1.118675689 -0.6267542973 1.326754297
+30 -45 1.92922058538795 1.229176842 -0.5629713378 1.262971338
+35 -45 1.88049870463424 1.334400981 -0.4916480983 1.191648098
+40 -45 1.82937686093435 1.433482726 -0.4124813928 1.112481393
+45 -45 1.77578645709401 1.525250789 -0.3252507890 1.025250789
+
+-45 -40 2.41011095338124 -0.9656376428 -0.5298160055 1.465637643
+-40 -40 2.38616711544363 -0.7902392225 -0.5902392225 1.537647229
+-35 -40 2.35874586607942 -0.6149416407 -0.6360997540 1.592301682
+-30 -40 2.32863702032531 -0.4418911693 -0.6689099580 1.631403360
+-25 -40 2.29642985019323 -0.2725063021 -0.6900903016 1.656645111
+-20 -40 2.26254647195774 -0.1076598157 -0.7009033686 1.669531622
+-15 -40 2.22727345212349 0.05216443699 -0.7024250357 1.671345075
+-10 -40 2.19079300046829 0.2067433124 -0.6955412689 1.663141321
+-5 -40 2.15320376975990 0.3560148503 -0.6809547566 1.645757792
+0 -40 2.11453837054396 0.5000000000 -0.6591990648 1.619830369
+5 -40 2.07477992513100 0.6387409322 -0.6306577142 1.585816111
+10 -40 2.03387946114866 0.7722524463 -0.5955869054 1.544020349
+15 -40 1.99176113878771 0.9004813464 -0.5541323489 1.494616732
+20 -40 1.94833695465669 1.023271495 -0.5063539188 1.437676617
+25 -40 1.90351724882921 1.140332676 -0.4522498134 1.373197855
+30 -40 1.85722440545333 1.251213371 -0.3917858648 1.301139727
+35 -40 1.80940843249810 1.355278576 -0.3249303226 1.221464394
+40 -40 1.76007029305586 1.451698526 -0.2516985260 1.134190137
+45 -40 1.70928383375266 1.539450373 -0.1722024245 1.039450373
+
+-45 -35 2.36090393474095 -0.9960747791 -0.3475628381 1.496074779
+-40 -35 2.33484817847898 -0.8225630288 -0.4036455840 1.576169241
+-35 -35 2.30532386869580 -0.6469973206 -0.4469973206 1.638081937
+-30 -35 2.27309289850065 -0.4718269011 -0.4786268376 1.683253569
+-25 -35 2.23874970188757 -0.2988551679 -0.4995608495 1.713150436
+-20 -35 2.20274320838689 -0.1293640510 -0.5107733307 1.729163519
+-15 -35 2.16540163782944 0.03576460090 -0.5131446376 1.732550096
+-10 -35 2.12695499705765 0.1959409294 -0.5074411553 1.724404679
+-5 -35 2.08755379456354 0.3507750149 -0.4943085563 1.705649384
+0 -35 2.04728686245312 0.5000000000 -0.4742755028 1.677039219
+5 -35 2.00619813810523 0.6434094240 -0.4477642436 1.639177217
+10 -35 1.96430382871477 0.7808072561 -0.4151064727 1.592537086
+15 -35 1.92159854593300 0.9119670237 -0.3765563907 1.537481864
+20 -35 1.87806956723386 1.036598849 -0.3323112275 1.474293222
+25 -35 1.83370926262328 1.154324206 -0.2825331697 1.403202788
+30 -35 1.78852709736138 1.264658034 -0.2273734647 1.324426565
+35 -35 1.74256200655631 1.366999201 -0.1669992011 1.238203181
+40 -35 1.69589970853730 1.460633876 -0.1016248086 1.144838873
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+-45 -30 2.31116737519384 -1.013014206 -0.1735391590 1.513014206
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+-35 -30 2.25062325177809 -0.6669760474 -0.2622203394 1.666614516
+-30 -30 2.21607164505263 -0.4910573683 -0.2910573683 1.716561715
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+-20 -30 2.14140823542126 -0.1437642310 -0.3211754068 1.768727688
+-15 -30 2.10213450627697 0.02482379513 -0.3238624245 1.773381739
+-10 -30 2.06196161530065 0.1887390871 -0.3191666138 1.765248357
+-5 -30 2.02108859298466 0.3473050225 -0.3076561101 1.745311579
+0 -30 1.97965578298460 0.5000000000 -0.2898278915 1.714432199
+5 -30 1.93776123956966 0.6463995244 -0.2661115102 1.673354222
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+15 -30 1.85285636624320 0.9188282213 -0.2024493940 1.563088202
+20 -30 1.80994451464275 1.044117427 -0.1631099832 1.494950343
+25 -30 1.76679102937709 1.161581229 -0.1191246576 1.418765525
+30 -30 1.72346015873769 1.270754814 -0.07075481429 1.334986499
+35 -30 1.68003942551567 1.371121262 -0.01827575094 1.244090094
+40 -30 1.63665142292683 1.462120078 0.03800437379 1.146610059
+45 -30 1.59345957763347 1.543164162 0.09772889048 1.043164162
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+-45 -25 2.26132760598257 -1.018578576 -0.008124819403 1.518578576
+-40 -25 2.22986205256906 -0.8497950364 -0.05011326308 1.608623084
+-35 -25 2.19527116235950 -0.6762642952 -0.08334067966 1.679879509
+-30 -25 2.15827037502652 -0.5006234198 -0.1081720725 1.733130602
+-25 -25 2.11946093957236 -0.3250671894 -0.1250671894 1.769362298
+-20 -25 2.07933829669100 -0.1513845613 -0.1345342029 1.789664373
+-15 -25 2.03830020848024 0.01899035727 -0.1370933236 1.795152426
+-10 -25 1.99665953730246 0.1849187245 -0.1332520136 1.786914710
+-5 -25 1.95465795206779 0.3454968645 -0.1234894942 1.765978919
+0 -25 1.91248000664470 0.5000000000 -0.1082489760 1.733295523
+5 -25 1.87026745616564 0.6478326097 -0.08793611943 1.689734461
+10 -25 1.82813482621771 0.7884873671 -0.06292277005 1.636093160
+15 -25 1.78617567483577 0.9215118654 -0.03355030136 1.573103698
+20 -25 1.74447332754782 1.046482982 -0.0001374716940 1.501449653
+25 -25 1.70310813197917 1.162988694 0.03701130627 1.421783842
+30 -25 1.66216969736318 1.270619820 0.07759460324 1.334752681
+35 -25 1.62175857977592 1.368966324 0.1213063562 1.241012524
+40 -25 1.58199717641847 1.457625129 0.1678248985 1.141253188
+45 -25 1.54303124332260 1.536211729 0.2168065354 1.036211729
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+-45 -20 2.21161763133701 -1.014496024 0.1487685275 1.514496024
+-40 -20 2.17707949831295 -0.8479846892 0.1152943406 1.606465596
+-35 -20 2.13971129811466 -0.6761268246 0.08864531938 1.679683180
+-30 -20 2.10021773215378 -0.5015328518 0.06861872911 1.734705785
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+-20 -20 2.01719211861999 -0.1527947916 0.04720520837 1.793538950
+-15 -20 1.97459997540704 0.01786412557 0.04508812819 1.799355580
+-10 -20 1.93177518053790 0.1842234116 0.04818098506 1.790858025
+-5 -20 1.88899327037904 0.3452234102 0.05609861482 1.769104516
+0 -20 1.84647213266442 0.5000000000 0.06846933654 1.735116238
+5 -20 1.80438460487270 0.6478440925 0.08493918179 1.689865710
+10 -20 1.76287159121849 0.7881668543 0.1051723846 1.634275442
+15 -20 1.72204819907235 0.9204705888 0.1288515024 1.569217600
+20 -20 1.68201376884499 1.044325857 0.1556741435 1.495523000
+25 -20 1.64285755946819 1.159354385 0.1853497133 1.413990042
+30 -20 1.60466817288454 1.265219656 0.2175940976 1.325399324
+35 -20 1.56753499300568 1.361620890 0.2521265622 1.230522157
+40 -20 1.53155625244961 1.448295356 0.2886647184 1.130134398
+45 -20 1.49683902421808 1.525022010 0.3269224988 1.025022010
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+-45 -15 2.16213204008452 -1.002133863 0.2975044444 1.502133863
+-40 -15 2.12442033413448 -0.8376625398 0.2728450067 1.594164138
+-35 -15 2.08424482466648 -0.6676773437 0.2531636205 1.667616071
+-30 -15 2.04230534125221 -0.4947221226 0.2383478563 1.722909256
+-25 -15 1.99921561767363 -0.3210419834 0.2282137607 1.760730215
+-20 -15 1.95550396199451 -0.1485783328 0.2225267779 1.781954324
+-15 -15 1.91161574709576 0.02102019234 0.2210201923 1.787576978
+-10 -15 1.86791827734406 0.1863748066 0.2234103314 1.778656857
+-5 -15 1.82470899288510 0.3463459821 0.2294079445 1.756273461
+0 -15 1.78222541835895 0.5000000000 0.2387261191 1.721497560
+5 -15 1.74065623468748 0.6465761528 0.2510851327 1.675373093
+10 -15 1.70015302251487 0.7854572531 0.2662147668 1.618908530
+15 -15 1.66083512177339 0.9161435102 0.2838564898 1.553068723
+20 -15 1.62279896396383 1.038230690 0.3037629863 1.478776667
+25 -15 1.58612366409324 1.151392530 0.3256975426 1.396915788
+30 -15 1.55087975626810 1.255369127 0.3494319680 1.308337707
+35 -15 1.51712988123050 1.349956862 0.3747460685 1.213864198
+40 -15 1.48493610894532 1.435004893 0.4014254367 1.114295440
+45 -15 1.45436064116832 1.510412097 0.4292608946 1.010412097
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+
+
+### +x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = dsigma = dphi
+#
+# dpx dpy gridfn global_x global_y global_z
+45 -45 1.77578670786883 1.525250934 -0.3252509338 1.025250934
+45 -40 1.70928404813741 1.539450503 -0.1722025339 1.039450503
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+50 -45 1.78962848507121 1.588309595 -0.3883095945 0.9132001794
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+
+
+### +y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 - dsigma = 90 - dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
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+
+
+### -x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = 180 - dsigma = 180 - dphi
+#
+# dpx dpy gridfn global_x global_y global_z
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+-90 40 1.62543526979729 -0.7451556561 1.744809652 1.524875889e-16
+-90 35 1.69914468651702 -0.8918578435 1.674589354 1.704534253e-16
+-90 30 1.77611453104107 -1.038160304 1.588057266 1.883703093e-16
+-90 25 1.85570115027193 -1.181836403 1.484253194 2.059655568e-16
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+-90 15 2.01959870323034 -1.450782546 1.222710608 2.389019601e-16
+-90 10 2.10212117389839 -1.570185230 1.065029511 2.535245715e-16
+-90 5 2.18372948394483 -1.675419734 0.8903245651 2.664120814e-16
+-90 -2.84217e-14 2.26341325758605 -1.763413258 0.7000000000 2.771881801e-16
+-90 -5 2.34015308612729 -1.831248097 0.4960422196 2.854955520e-16
+-90 -10 2.41295647177664 -1.876298241 0.2809945059 2.910126035e-16
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+-90 -25 2.59841953864003 -1.854967862 -0.3981395487 2.884003854e-16
+-90 -30 2.64650081742065 -1.791936939 -0.6232504087 2.806813236e-16
+-90 -35 2.68656115044287 -1.700702058 -0.8409481707 2.695082732e-16
+-90 -40 2.71805937889153 -1.582154283 -1.047134891 2.549903578e-16
+-90 -45 2.74056857294999 -1.437874622 -1.237874622 2.373211953e-16
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+-85 45 1.55546057823101 -0.5977780574 1.797778057 0.09604313509
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+-80 45 1.55530199295254 -0.5913147267 1.791314727 0.1924282308
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+-75 45 1.55504669986776 -0.5803633930 1.780363393 0.2894824987
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+-70 -5 2.27754084412956 -1.632992137 0.5133873686 0.7763456479
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+-70 -45 2.68866532901332 -1.341174031 -1.141174031 0.6701325434
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+-65 45 1.55430272063635 -0.5437810097 1.743781010 0.4867230783
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+-60 45 1.55386883016068 -0.5172459335 1.717245933 0.5873072135
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+-55 45 1.55345425588639 -0.4844041930 1.684404193 0.6892872366
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+-55 -2.84217e-14 2.10255644825751 -1.222313413 0.7000000000 1.205976835
+-55 -5 2.16161010958449 -1.266157577 0.5454812340 1.236676849
+-55 -10 2.21978947010762 -1.299669177 0.3826697677 1.260141924
+-55 -15 2.27690671082290 -1.321765936 0.2118592888 1.275614241
+-55 -20 2.33270709748035 -1.331185768 0.03350288713 1.282210078
+-55 -25 2.38684322374580 -1.326475513 -0.1516995190 1.278911922
+-55 -30 2.43885135937471 -1.305999771 -0.3426944541 1.264574654
+-55 -35 2.48812467928749 -1.267973754 -0.5379485499 1.237948550
+-55 -40 2.53388254951414 -1.210529949 -0.7353050490 1.197725964
+-55 -45 2.57515462095019 -1.131842712 -0.9318427125 1.142628568
+
+-50 45 1.55313537134886 -0.4444933070 1.644493307 0.7925239856
+-50 40 1.61065737213415 -0.5379083798 1.570908539 0.8709085387
+-50 35 1.66819637739106 -0.6261373832 1.488529885 0.9449414629
+-50 30 1.72550310112150 -0.7088580285 1.397934508 1.014352326
+-50 25 1.78241967703411 -0.7858380339 1.299596122 1.078946220
+-50 20 1.83886600507385 -0.8568980716 1.193870509 1.138572671
+-50 15 1.89481495968658 -0.9218683598 1.080988479 1.193089216
+-50 10 1.95027858092285 -0.9805547098 0.9610617417 1.242332911
+-50 5 2.00529108683366 -1.032703722 0.8340942002 1.286091128
+-50 -2.84217e-14 2.05989356228641 -1.077970017 0.7000000000 1.324074059
+-50 -5 2.11412045317345 -1.115885249 0.5586283591 1.355888717
+-50 -10 2.16798251203345 -1.145824730 0.4097966946 1.381010924
+-50 -15 2.22145037385659 -1.166975439 0.2533352773 1.398758476
+-50 -20 2.27443426323327 -1.178303616 0.08914743968 1.408263945
+-50 -25 2.32675782945143 -1.178523723 -0.08270846658 1.408448637
+-50 -30 2.37812838973860 -1.166076169 -0.2619095248 1.398003899
+-50 -35 2.42810031641823 -1.139120294 -0.4477243859 1.375385234
+-50 -40 2.47602942467761 -1.095554544 -0.6388292292 1.338829229
+-50 -45 2.52102487033897 -1.033086659 -0.8330866586 1.286412450
+
+-45 45 1.55302027597193 -0.3966366744 1.596636674 0.8966366744
+-45 40 1.60716324851974 -0.4773487614 1.520092985 0.9773487614
+-45 35 1.66060794616934 -0.5523061230 1.436832680 1.052306123
+-45 30 1.71323800224646 -0.6215775470 1.347543099 1.121577547
+-45 25 1.76503567358035 -0.6852972353 1.252713178 1.185297235
+-45 20 1.81605120901922 -0.7436156665 1.152639085 1.243615667
+-45 15 1.86638638455012 -0.7966655774 1.047440494 1.296665577
+-45 10 1.91617371037303 -0.8445289715 0.9370767340 1.344528972
+-45 5 1.96556278862319 -0.8872107915 0.8213652182 1.387210791
+-45 -2.84217e-14 2.01470900889102 -0.9246144023 0.7000000000 1.424614402
+-45 -5 2.06376573696273 -0.9565182643 0.5725711637 1.456518264
+-45 -10 2.11286988162665 -0.9825455299 0.4385872229 1.482545530
+-45 -15 2.16213203525616 -1.002133860 0.2975044453 1.502133860
+-45 -20 2.21161763203773 -1.014496024 0.1487685273 1.514496024
+-45 -25 2.26132759507297 -1.018578568 -0.008124815987 1.518578568
+-45 -30 2.31116720710678 -1.013014096 -0.1735390955 1.513014096
+-45 -35 2.36090357960677 -0.9960745541 -0.3475626805 1.496074554
+-45 -40 2.41011042839186 -0.9656373236 -0.5298157376 1.465637324
+-45 -45 2.45809510077922 -0.9191818681 -0.7191818681 1.419181868
+
+
+### -y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 + dsigma = 90 + dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -90 2.74056858650414 -1.437874632 -1.237874632 2.373211965e-16
+-40 -90 2.75378369074761 -1.270098036 -1.409520694 2.583417765e-16
+-35 -90 2.75752458984323 -1.081651127 -1.558831905 2.766271262e-16
+-30 -90 2.75174339030767 -0.8758716952 -1.683079681 2.918430903e-16
+-25 -90 2.73652036427842 -0.6565034796 -1.780129716 3.037282918e-16
+-20 -90 2.71205851859388 -0.4275786432 -1.848501377 3.121014054e-16
+-15 -90 2.67869728249945 -0.1932978728 -1.887422886 3.168679155e-16
+-10 -90 2.63688444627851 0.04210982119 -1.896824246 3.180192501e-16
+-5 -90 2.58717635980616 0.2745127227 -1.877331373 3.156320616e-16
+-2.84217e-14 -90 2.53023446523282 0.5000000000 -1.830234465 3.098643539e-16
+5 -90 2.46681842224599 0.7149973918 -1.757431433 3.009485539e-16
+10 -90 2.39778248428815 0.9163705588 -1.661354781 2.891825574e-16
+15 -90 2.32404332566933 1.101506674 -1.544853470 2.749152616e-16
+20 -90 2.24657447265876 1.268373723 -1.411089454 2.585338943e-16
+25 -90 2.16638013869387 1.415551808 -1.263407189 2.404480330e-16
+30 -90 2.08447638172707 1.542238191 -1.105209500 2.210744036e-16
+35 -90 2.00187696316766 1.648229455 -0.9398416068 2.008226775e-16
+40 -90 1.91955757650972 1.733867826 -0.7704664147 1.800801988e-16
+45 -90 1.83843181123207 1.799967600 -0.5999676005 1.592001161e-16
+
+-45 -85 2.73738950063735 -1.431933326 -1.231933326 0.1690222647
+-40 -85 2.75001068833355 -1.263716186 -1.401915101 0.1838937430
+-35 -85 2.75319925349970 -1.075130391 -1.549519329 0.1968074397
+-30 -85 2.74693779247913 -0.8695434530 -1.672118844 0.2075335074
+-25 -85 2.73133174003300 -0.6506990217 -1.767682015 0.2158942015
+-20 -85 2.70660581591201 -0.4226010814 -1.834825638 0.2217685074
+-15 -85 2.67311301121081 -0.1893952687 -1.872858169 0.2250959227
+-10 -85 2.63130961176369 0.04476446855 -1.881768993 0.2258755187
+-5 -85 2.58175140178692 0.2758353196 -1.862214022 0.2241646804
+-2.84217e-14 -85 2.52508997709812 0.5000000000 -1.815481247 0.2200760925
+5 -85 2.46206736093392 0.7137729228 -1.743435689 0.2137729228
+10 -85 2.39351292993104 0.9140949913 -1.648449396 0.2054626990
+15 -85 2.32031795817359 1.098409501 -1.533294660 0.1953879651
+20 -85 2.24342487005740 1.264716531 -1.401041402 0.1838173043
+25 -85 2.16380840857689 1.411603736 -1.254940521 0.1710351334
+30 -85 2.08245751011184 1.538252871 -1.098306723 0.1573314518
+35 -85 2.00036323494668 1.644426042 -0.9344097711 0.1429923265
+40 -85 1.91848316912245 1.730416970 -0.7663538442 0.1282893381
+45 -85 1.83772094134061 1.796985442 -0.5969854417 0.1134715229
+
+-45 -80 2.72779909254818 -1.414025273 -1.214025273 0.3374942973
+-40 -80 2.73865819314669 -1.244532929 -1.379053386 0.3665932062
+-35 -80 2.74021747558121 -1.055581269 -1.521600289 0.3917280714
+-30 -80 2.73254725780492 -0.8506172546 -1.639337707 0.4124883546
+-25 -80 2.71582628216504 -0.6333768606 -1.730534521 0.4285688136
+-20 -80 2.69034205538876 -0.4077744274 -1.794089741 0.4397753137
+-15 -80 2.65648425691489 -0.1777881918 -1.829539968 0.4460261452
+-10 -80 2.61472882084090 0.05265161608 -1.837038757 0.4473483839
+-5 -80 2.56562731412647 0.2797627471 -1.817323320 0.4438720205
+-2.84217e-14 -80 2.50980205864971 0.5000000000 -1.771672526 0.4358225538
+5 -80 2.44794393368641 0.7101351370 -1.701855607 0.4235119473
+10 -80 2.38081268115729 0.9073281699 -1.610072844 0.4073281699
+15 -80 2.30922245041181 1.089186141 -1.498872615 0.3877205691
+20 -80 2.23403065904582 1.253805970 -1.371064881 0.3651846173
+25 -80 2.15612358972716 1.399800036 -1.229627403 0.3402453739
+30 -80 2.07641218549001 1.526309103 -1.077619511 0.3134422812
+35 -80 1.99581896853357 1.632997155 -0.9180876290 0.2853125061
+40 -80 1.91524893085642 1.720018926 -0.7539619379 0.2563727186
+45 -80 1.83557490909213 1.787974901 -0.5879749009 0.2271047255
+
+-45 -75 2.71164120756424 -1.383903484 -1.183903484 0.5047904171
+-40 -75 2.71963055127685 -1.212442614 -1.340809638 0.5468332943
+-35 -75 2.71856768306117 -1.023050389 -1.475141377 0.5828273754
+-30 -75 2.70865530550662 -0.8192735193 -1.585048764 0.6122769711
+-25 -75 2.69018985674522 -0.6048127057 -1.669278493 0.6348462589
+-20 -75 2.66354903945451 -0.3834143162 -1.727160886 0.6503557993
+-15 -75 2.62917347601555 -0.1587730865 -1.758574629 0.6587730865
+-10 -75 2.58755844158416 0.06554656244 -1.763907882 0.6602021272
+-5 -75 2.53924065447478 0.2861771217 -1.744006682 0.6548696168
+-2.84217e-14 -75 2.48479339106106 0.5000000000 -1.700126109 0.6431118528
+5 -75 2.42482738849627 0.7041884335 -1.633884475 0.6253624602
+10 -75 2.36000048421071 0.8962462476 -1.547224140 0.6021418936
+15 -75 2.29100103512917 1.074039650 -1.442345141 0.5740396504
+20 -75 2.21855636966206 1.235824432 -1.321661011 0.5417024352
+25 -75 2.14341921938963 1.380263815 -1.187731844 0.5058162231
+30 -75 2.06637682683829 1.506446344 -1.043216202 0.4670933736
+35 -75 1.98824114302367 1.613892240 -0.8908029823 0.4262543744
+40 -75 1.90983075802357 1.702544064 -0.7331362086 0.3840076897
+45 -75 1.83196322268598 1.772750203 -0.5727502031 0.3410323891
+
+-45 -70 2.68866546079426 -1.341174121 -1.141174121 0.6701325763
+-40 -70 2.69278295594747 -1.167293362 -1.287002854 0.7232098943
+-35 -70 2.68824290724166 -0.9776360704 -1.410283009 0.7680802010
+-30 -70 2.67541763591833 -0.7758289837 -1.509800622 0.8043016499
+-25 -70 2.65474599879625 -0.5654718087 -1.584911667 0.8316398349
+-20 -70 2.62669801200130 -0.3500403931 -1.635466786 0.8500403931
+-15 -70 2.59176902601991 -0.1328293534 -1.661751299 0.8596071737
+-10 -70 2.55046293210929 0.08308995179 -1.664414377 0.8605764546
+-5 -70 2.50328416674225 0.2948908593 -1.644408206 0.8532948040
+-2.84217e-14 -70 2.45073709163590 0.5000000000 -1.602939560 0.8382014513
+5 -70 2.39333087317811 0.6961000055 -1.541433319 0.8158150103
+10 -70 2.33158774755707 0.8811317342 -1.461505475 0.7867236541
+15 -70 2.26604905459288 1.053298671 -1.364938752 0.7515762415
+20 -70 2.19727582387154 1.211072684 -1.253656142 0.7110726838
+25 -70 2.12585776185446 1.353204606 -1.129703183 0.6659574961
+30 -70 2.05242146829996 1.478740201 -0.9952277564 0.6170124436
+35 -70 1.97763224430274 1.587037459 -0.8524503799 0.5650457284
+40 -70 1.90219129906652 1.677781863 -0.7036257663 0.5108779990
+45 -70 1.82683305945371 1.750998982 -0.5509989815 0.4553263924
+
+-45 -65 2.65853553251167 -1.285320752 -1.085320752 0.8325087391
+-40 -65 2.65793895450917 -1.108921414 -1.217437876 0.8941159656
+-35 -65 2.64926692796453 -0.9195230864 -1.327289066 0.9453404170
+-30 -65 2.63308380464788 -0.7207577659 -1.414414474 0.9859676619
+-25 -65 2.60995774019573 -0.5160085789 -1.478837429 1.016008579
+-20 -65 2.58044552026316 -0.3083640722 -1.520962035 1.035651605
+-15 -65 2.54507623660808 -0.1006015239 -1.541475402 1.045217146
+-10 -65 2.50433843243884 0.1048048589 -1.541263019 1.045118110
+-5 -65 2.45868331115678 0.3056569026 -1.521351768 1.035833341
+-2.84217e-14 -65 2.40852706096073 0.5000000000 -1.482866831 1.017887520
+5 -65 2.35425968891053 0.6860890819 -1.427007939 0.9918400907
+10 -65 2.29625893980556 0.8623593218 -1.355041834 0.9582817449
+15 -65 2.23490084231111 1.027404575 -1.268300671 0.9178336764
+20 -65 2.17056957611026 1.179964157 -1.168186166 0.8711495161
+25 -65 2.10366997900742 1.318920059 -1.056179733 0.8189200587
+30 -65 2.03464894822948 1.443309704 -0.9338603346 0.7618815864
+35 -65 1.96400230564346 1.552346438 -0.8029064677 0.7008167954
+40 -65 1.89228665873869 1.645451637 -0.6650961040 0.6365547674
+45 -65 1.82011574004728 1.722285865 -0.5222858647 0.5699612592
+
+-45 -60 2.62084683383096 -1.215747000 -1.015747000 0.9905869924
+-40 -60 2.61491759241138 -1.037202535 -1.131966644 1.057686435
+-35 -60 2.60172582772369 -0.8490270841 -1.226610341 1.112328999
+-30 -60 2.58200540885180 -0.6547079225 -1.300012790 1.154707922
+-25 -60 2.55643508356738 -0.4572662737 -1.352864149 1.185221669
+-20 -60 2.52561647778998 -0.2592674403 -1.386070147 1.204393161
+-15 -60 2.49007431794688 -0.06286791388 -1.400651653 1.212811797
+-10 -60 2.45025475064703 0.1301247681 -1.397666678 1.211088421
+-5 -60 2.40653169625040 0.3181844653 -1.378161071 1.199826854
+-2.84217e-14 -60 2.35921666985082 0.5000000000 -1.343141569 1.179608335
+5 -60 2.30857304361335 0.6744146744 -1.293568851 1.150987513
+10 -60 2.25483302958675 0.8403755832 -1.230365857 1.114497247
+15 -60 2.19820884051798 0.9968932917 -1.154431010 1.070656243
+20 -60 2.13890859269280 1.143012772 -1.066663071 1.019983400
+25 -60 2.07715512899761 1.277798178 -0.9679935756 0.9630165399
+30 -60 2.01320903082744 1.400334449 -0.8594250098 0.9003344492
+35 -60 1.94738496354969 1.509743237 -0.7420627912 0.8325753407
+40 -60 1.88006932517102 1.605215454 -0.6171444876 0.7604537245
+45 -60 1.81173038454604 1.686055947 -0.4860559466 0.6847697200
+
+-45 -55 2.57515450396481 -1.131842638 -0.9318426383 1.142628517
+-40 -55 2.56356573323003 -0.9521189394 -1.030567963 1.211756733
+-35 -55 2.54578345214703 -0.7666362579 -1.108944047 1.266636258
+-30 -55 2.52266326726694 -0.5785269828 -1.168063532 1.308032167
+-25 -55 2.49492871477026 -0.3902677668 -1.209185387 1.336826000
+-20 -55 2.46317527625170 -0.2037742595 -1.233603886 1.353924017
+-15 -55 2.42787910258387 -0.02050732966 -1.242559800 1.360195015
+-10 -55 2.38940858513837 0.1584218497 -1.237185954 1.356432208
+-5 -55 2.34803873741926 0.3321547227 -1.218480298 1.343334367
+-2.84217e-14 -55 2.30396666156534 0.5000000000 -1.187299001 1.321500987
+5 -55 2.25732894255540 0.6613610526 -1.144365271 1.291438466
+10 -55 2.20822329344796 0.8156767883 -1.090292030 1.253575975
+15 -55 2.15671273374491 0.9623726052 -1.025598055 1.208276766
+20 -55 2.10284600106297 1.100821591 -0.9507437531 1.155863220
+25 -55 2.04668253884382 1.230319661 -0.8661755671 1.096647938
+30 -55 1.98830517292202 1.350070165 -0.7723647153 1.030960873
+35 -55 1.92784487538031 1.459185361 -0.6698586610 0.9591853607
+40 -55 1.86550663194552 1.556706866 -0.5593342039 0.8817953027
+45 -55 1.80159357048090 1.641646919 -0.4416469189 0.7993897786
+
+-45 -50 2.52102490025780 -1.033086677 -0.8330866768 1.286412465
+-40 -50 2.50381447787919 -0.8538530576 -0.9134592453 1.353853058
+-35 -50 2.48173458383958 -0.6730764507 -0.9753267949 1.405766096
+-30 -50 2.45567268028473 -0.4932747749 -1.020402376 1.443588999
+-25 -50 2.42632198338893 -0.3162012974 -1.050349331 1.468717478
+-20 -50 2.39420485609397 -0.1430197566 -1.066682261 1.482422434
+-15 -50 2.35969989811998 0.02553758884 -1.070717825 1.485808674
+-10 -50 2.32306642113083 0.1890373652 -1.063556737 1.479799808
+-5 -50 2.28446606527877 0.3472373153 -1.046085476 1.465139679
+-2.84217e-14 -50 2.24398094705543 0.5000000000 -1.018989135 1.442403149
+5 -50 2.20163130559299 0.6472235084 -0.9827724008 1.412013701
+10 -50 2.15739455922074 0.7887860159 -0.9377868817 1.374266368
+15 -50 2.11121245668838 0.9244992990 -0.8842529518 1.329346068
+20 -50 2.06300563524232 1.054068453 -0.8222905641 1.277353451
+25 -50 2.01269130726154 1.177058225 -0.7519560498 1.218335786
+30 -50 1.96019833461784 1.292864446 -0.6732815043 1.152320004
+35 -50 1.90549147134395 1.400695500 -0.5863264831 1.079356078
+40 -50 1.84859501525693 1.499565278 -0.4912355107 0.9995652776
+45 -50 1.78962786387217 1.588309217 -0.3883092167 0.9131998624
+
+-45 -45 2.45809478153279 -0.9191816838 -0.7191816838 1.419181684
+-40 -45 2.43573358025978 -0.7428905557 -0.7812192850 1.481219285
+-35 -45 2.41003694459228 -0.5693637739 -0.8272097422 1.527209742
+-30 -45 2.38181116618864 -0.4002400022 -0.8592614229 1.559261423
+-25 -45 2.35162913550364 -0.2364023472 -0.8792199299 1.579219930
+-20 -45 2.31987691158276 -0.07821440193 -0.8886310129 1.588631013
+-15 -45 2.28679517491606 0.07429755566 -0.8887431512 1.588743151
+-10 -45 2.25251341285079 0.2213099625 -0.8805297432 1.580529743
+-5 -45 2.21707562133715 0.3631049244 -0.8647178738 1.564717874
+-2.84217e-14 -45 2.18045684082063 0.5000000000 -0.8418158182 1.541815818
+5 -45 2.14257848781689 0.6322951916 -0.8121409588 1.512140959
+10 -45 2.10332338840440 0.7602316464 -0.7758470053 1.475847005
+15 -45 2.06254100646224 0.8839560087 -0.7329433322 1.432943332
+20 -45 2.02005658536737 1.003486114 -0.6833167283 1.383316728
+25 -45 1.97568024348972 1.118675601 -0.6267541078 1.326754108
+30 -45 1.92922013300164 1.229176671 -0.5629710417 1.262971042
+35 -45 1.88049820953221 1.334400762 -0.4916477846 1.191647785
+40 -45 1.82937632126859 1.433482451 -0.4124810647 1.112481065
+45 -45 1.77578612913635 1.525250600 -0.3252505997 1.025250600
+
+
diff --git a/test/checkpointML/h.t1.ah1.gp b/test/checkpointML/h.t1.ah1.gp
new file mode 100644
index 0000000..de62657
--- /dev/null
+++ b/test/checkpointML/h.t1.ah1.gp
@@ -0,0 +1,1228 @@
+# N_patches = 5
+# origin = 0.5 0.7 0
+
+### +z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -45 2.45779997729702 -0.9190114785 -0.7190114785 1.419011479
+-40 -45 2.43544081473572 -0.7427411652 -0.7810412483 1.481041248
+-35 -45 2.40974649190769 -0.5692348964 -0.8270256860 1.527025686
+-30 -45 2.38152249873690 -0.4001308962 -0.8590724457 1.559072446
+-25 -45 2.35134114877321 -0.2363121654 -0.8790265344 1.579026534
+-20 -45 2.31958877258961 -0.07814258514 -0.8884336979 1.588433698
+-15 -45 2.28650650163776 0.07435129415 -0.8885425964 1.588542596
+-10 -45 2.25222351461640 0.2213458298 -0.8803263292 1.580326329
+-5 -45 2.21678327045085 0.3631229759 -0.8645115449 1.564511545
+0 -45 2.18016097554878 0.5000000000 -0.8416066099 1.541606610
+5 -45 2.14227812107577 0.6322766452 -0.8119289727 1.511928973
+10 -45 2.10301831358964 0.7601939014 -0.7756329423 1.475632942
+15 -45 2.06223141486191 0.8838983761 -0.7327282445 1.432728245
+20 -45 2.01974331868749 1.003408034 -0.6831022060 1.383102206
+25 -45 1.97536456189964 1.118576747 -0.6265421141 1.326542114
+30 -45 1.92890383157629 1.229057120 -0.5627639738 1.262763974
+35 -45 1.88018323776219 1.334261005 -0.4914481910 1.191448191
+40 -45 1.82906505486370 1.433323620 -0.4122917772 1.112291777
+45 -45 1.77548074835355 1.525074288 -0.3250742880 1.025074288
+
+-45 -40 2.40981952361935 -0.9654604184 -0.5296672966 1.465460418
+-40 -40 2.38587846296174 -0.7900831435 -0.5900831435 1.537461221
+-35 -40 2.35846064761322 -0.6148068225 -0.6359381934 1.592109141
+-30 -40 2.32835467331364 -0.4417769651 -0.6687439778 1.631205553
+-25 -40 2.29614900721157 -0.2724118280 -0.6899202998 1.656442511
+-20 -40 2.26226713938977 -0.1075847944 -0.7007304139 1.669325503
+-15 -40 2.22699397492766 0.05222063118 -0.7022490600 1.671135355
+-10 -40 2.19051071278122 0.2067810991 -0.6953614508 1.662927022
+-5 -40 2.15291817273033 0.3560339482 -0.6807715892 1.645539502
+0 -40 2.11424880418679 0.5000000000 -0.6590129351 1.619608548
+5 -40 2.07448542522283 0.6387212389 -0.6304688370 1.585591016
+10 -40 2.03357970141316 0.7722123209 -0.5953959577 1.543792786
+15 -40 1.99145640520755 0.9004200740 -0.5539404703 1.494388060
+20 -40 1.94802826840179 1.023188590 -0.5061627892 1.437448837
+25 -40 1.90320589173790 1.140227937 -0.4520613407 1.372973242
+30 -40 1.85691221430665 1.251087096 -0.3916023404 1.300921011
+35 -40 1.80909761415857 1.355131658 -0.3247542611 1.221254572
+40 -40 1.75976320155680 1.451532477 -0.2515324766 1.133992247
+45 -40 1.70898273081545 1.539267266 -0.1720487796 1.039267266
+
+-45 -35 2.36061544434324 -0.9958919664 -0.3474348312 1.495891966
+-40 -35 2.33456349599939 -0.8224017718 -0.4035110192 1.575977062
+-35 -35 2.30504377648697 -0.6468579627 -0.4468579627 1.637882913
+-30 -35 2.27281786835369 -0.4717093161 -0.4784842311 1.683049906
+-25 -35 2.23847652040508 -0.2987576883 -0.4994144741 1.712941390
+-20 -35 2.20247121949075 -0.1292863388 -0.5106238276 1.728950006
+-15 -35 2.16512934055661 0.03582297808 -0.5129920858 1.732332230
+-10 -35 2.12668042319409 0.1959801811 -0.5072852837 1.724182072
+-5 -35 2.08727577025671 0.3507948890 -0.4941494960 1.705422223
+0 -35 2.04700460295568 0.5000000000 -0.4741136054 1.676808005
+5 -35 2.00590971232574 0.6433888064 -0.4475992326 1.638941557
+10 -35 1.96400947364327 0.7807651765 -0.4149393716 1.592298441
+15 -35 1.92129872256827 0.9119027453 -0.3763884177 1.537241973
+20 -35 1.87776528778785 1.036511911 -0.3321439754 1.474054361
+25 -35 1.83340187161316 1.154214519 -0.2823684643 1.402967564
+30 -35 1.78821868506038 1.264526177 -0.2272135491 1.324198182
+35 -35 1.74225487571290 1.366846390 -0.1668463904 1.237984945
+40 -35 1.69559613483295 1.460461918 -0.1014813142 1.144633941
+45 -35 1.64838768321847 1.544562298 -0.03141039508 1.044562298
+
+-45 -30 2.31087976147844 -1.012825918 -0.1734304512 1.512825918
+-40 -30 2.28228440162069 -0.8416611594 -0.2231423811 1.598929507
+-35 -30 2.25034635821439 -0.6668324746 -0.2621019577 1.666409473
+-30 -30 2.21580013864251 -0.4909359469 -0.2909359469 1.716351407
+-25 -30 2.17924107332707 -0.3160246255 -0.3103459143 1.749970457
+-20 -30 2.14114204509419 -0.1436842071 -0.3210484683 1.768507824
+-15 -30 2.10186819399206 0.02488399359 -0.3237327148 1.773157075
+-10 -30 2.06169314575452 0.1887796136 -0.3190339173 1.765018519
+-5 -30 2.02081633949494 0.3473255915 -0.3075203724 1.745076475
+0 -30 1.97937841544740 0.5000000000 -0.2896892077 1.714191991
+5 -30 1.93747759580388 0.6463780949 -0.2659700937 1.673109281
+10 -30 1.89518729176680 0.7860856973 -0.2367350005 1.622472614
+15 -30 1.85256022214272 0.9187612796 -0.2023051545 1.562838372
+20 -30 1.80964299871677 1.044026783 -0.1629661990 1.494701302
+25 -30 1.76648644873994 1.161467178 -0.1189834470 1.418520941
+30 -30 1.72315441699384 1.270618082 -0.07061808243 1.334749672
+35 -30 1.67973487303086 1.370963348 -0.01814554408 1.243864570
+40 -30 1.63635021207556 1.461943008 0.03812620809 1.146399036
+45 -30 1.59316370877150 1.542970470 0.09784071840 1.042970470
+
+-45 -25 2.26103906740973 -1.018384810 -0.008034464815 1.518384810
+-40 -25 2.22958007585379 -0.8496243483 -0.05001840767 1.608419666
+-35 -25 2.19499720799710 -0.6761175058 -0.08324292427 1.679669872
+-30 -25 2.15800117823186 -0.5004986140 -0.1080712707 1.732914432
+-25 -25 2.11919576448243 -0.3249639616 -0.1249639616 1.769140925
+-20 -25 2.07907539093521 -0.1513022020 -0.1344286867 1.789438093
+-15 -25 2.03803749012180 0.01905235504 -0.1369854299 1.794921047
+-10 -25 1.99639469413038 0.1849605178 -0.1331414884 1.786677688
+-5 -25 1.95438927824817 0.3455181015 -0.1233763030 1.765736180
+0 -25 1.91220639359594 0.5000000000 -0.1081333422 1.733047545
+5 -25 1.86998871358299 0.6478105769 -0.08781868630 1.689482625
+10 -25 1.82784811580340 0.7884421230 -0.06280311919 1.635836568
+15 -25 1.78588189957664 0.9214425387 -0.03342965313 1.572844967
+20 -25 1.74417403557082 1.046389224 -1.735204258e-05 1.501192056
+25 -25 1.70280539209335 1.162870843 0.03712915734 1.421531109
+30 -25 1.66186565366403 1.270478858 0.07770845349 1.334508528
+35 -25 1.62145559246309 1.368803978 0.1214144714 1.240780670
+40 -25 1.58169731026320 1.457443612 0.1679257718 1.141036865
+45 -25 1.54273628127602 1.536013649 0.2168989015 1.036013649
+
+-45 -20 2.21132653669904 -1.014296685 0.1488410810 1.514296685
+-40 -20 2.17679558682904 -0.8478088994 0.1153705917 1.606256098
+-35 -20 2.13943617978898 -0.6759756014 0.08872392572 1.679467211
+-30 -20 2.09994813828715 -0.5014042903 0.06869977619 1.734483110
+-25 -20 2.05894137444912 -0.3263479788 0.05500508695 1.772108959
+-20 -20 2.01692962713258 -0.1527098453 0.04729015471 1.793305561
+-15 -20 1.97433807618502 0.01792807321 0.04517499181 1.799116924
+-10 -20 1.93151103753905 0.1842665895 0.04827011212 1.790613151
+-5 -20 1.88872530374277 0.3452453664 0.05618995665 1.768853557
+0 -20 1.84619922523181 0.5000000000 0.06856267638 1.734859788
+5 -20 1.80410641279501 0.6478212985 0.08503400916 1.689605174
+10 -20 1.76258519073933 0.7881200380 0.1052690218 1.634009933
+15 -20 1.72175480343750 0.9203989507 0.1289488123 1.568950243
+20 -20 1.68171489607614 1.044229137 0.1557708634 1.495257264
+25 -20 1.64255544302494 1.159233132 0.1854443559 1.413730013
+30 -20 1.60436480113311 1.265074987 0.2176852992 1.325148750
+35 -20 1.56723255438340 1.361454650 0.2522129744 1.230284741
+40 -20 1.53125672585963 1.448109898 0.2887451633 1.129913377
+45 -20 1.49654402904287 1.524820000 0.3269960245 1.024820000
+
+-45 -15 2.16183722478781 -1.001929041 0.2975593263 1.501929041
+-40 -15 2.12413269233536 -0.8374814233 0.2729028426 1.593948291
+-35 -15 2.08396500979355 -0.6675205802 0.2532236094 1.667392189
+-30 -15 2.04203294154913 -0.4945894481 0.2384094308 1.722679457
+-25 -15 1.99894802658374 -0.3209320886 0.2282769083 1.760494545
+-20 -15 1.95523904815665 -0.1484904694 0.2225914616 1.781712921
+-15 -15 1.91135122297619 0.02108647224 0.2210864722 1.787329618
+-10 -15 1.86765183476169 0.1864195426 0.2234783129 1.778403147
+-5 -15 1.82443881337047 0.3463687333 0.2294776238 1.756013414
+0 -15 1.78195011230349 0.5000000000 0.2387973735 1.721231635
+5 -15 1.74037442539365 0.6465524224 0.2511578113 1.675101853
+10 -15 1.69986452224903 0.7854088137 0.2662883762 1.618633816
+15 -15 1.66054053170553 0.9160696969 0.2839303031 1.552793248
+20 -15 1.62249960740605 1.038131403 0.3038360798 1.478503878
+25 -15 1.58582106794040 1.151268259 0.3257689509 1.396649289
+30 -15 1.55057596717135 1.255221164 0.3495006379 1.308081427
+35 -15 1.51682701658427 1.349787185 0.3748109990 1.213621874
+40 -15 1.48463603546480 1.434815949 0.4014857721 1.114070265
+45 -15 1.45406485620178 1.510206601 0.4293159570 1.010206601
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+-45 -10 2.11257065837365 -0.9823355728 0.4386242441 1.482335573
+-40 -10 2.07169055530362 -0.8196726782 0.4226862101 1.572724655
+-35 -10 2.02878116263442 -0.6517093094 0.4099753800 1.644811355
+-30 -10 1.98453982665988 -0.4808993146 0.4004261992 1.698967450
+-25 -10 1.93957736270411 -0.3094303074 0.3939265318 1.735828896
+-20 -10 1.89443048371070 -0.1392181783 0.3903279423 1.756237511
+-15 -10 1.84955229460514 0.02809631674 0.3894584720 1.761168522
+-10 -10 1.80531854819643 0.1911318954 0.3911318954 1.751678066
+-5 -10 1.76203409396748 0.3487443807 0.3951553996 1.728859640
+0 -10 1.71994083645012 0.5000000000 0.4013354081 1.693811070
+5 -10 1.67922639701719 0.6441472839 0.4094817281 1.647610994
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+45 -10 1.41483263657734 1.492751054 0.5249512041 0.9927510535
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+-45 -5 2.06346190040683 -0.9563038294 0.5725899243 1.456303829
+-40 -5 2.01949322393100 -0.7951996521 0.5649561001 1.543558838
+-35 -5 1.97399685622568 -0.6293415967 0.5588924261 1.612866950
+-30 -5 1.92766404347593 -0.4610773413 0.5543633274 1.664634785
+-25 -5 1.88110283184917 -0.2925010194 0.5513109236 1.699523921
+-20 -5 1.83484002931142 -0.1254421628 0.5496605113 1.718388219
+-15 -5 1.78932127822969 0.03853442849 0.5493258899 1.722212959
+-10 -5 1.74491379820034 0.1981173342 0.5502140122 1.712061674
+-5 -5 1.70191233407265 0.3522287490 0.5522287490 1.689033128
+0 -5 1.66054518471164 0.5000000000 0.5552739511 1.654226309
+5 -5 1.62098703543587 0.6407447830 0.5592552170 1.608720231
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+-45 0 2.01440067699256 -0.9243963787 0.7000000000 1.424396379
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+-45 5 1.96525065193918 -0.8869904986 0.8213459450 1.386990499
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+-45 10 1.91585864014097 -0.8443078950 0.9370377523 1.344307895
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+-45 15 1.86606967311056 -0.7964455432 1.047381536 1.296445543
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+
+
+### +x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = dsigma = dphi
+#
+# dpx dpy gridfn global_x global_y global_z
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+85 -45 1.83744364493758 1.796789738 -0.5967897376 0.1134544010
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+90 -45 1.83815525683918 1.799772047 -0.5997720470 0.000000000
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+
+
+### +y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 - dsigma = 90 - dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+45 45 1.12166831027075 1.147595501 1.347595501 0.6475955009
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+30 45 1.14591573146126 0.9331154356 1.450177940 0.7501779399
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+20 45 1.17149824650410 0.7919884045 1.502231548 0.8022315480
+15 45 1.18672654026666 0.7209172008 1.524474218 0.8244742178
+10 45 1.20356258589855 0.6489096137 1.544508385 0.8445083851
+5 45 1.22206360619796 0.5754572772 1.562480625 0.8624806250
+0 45 1.24234127190120 0.5000000000 1.578467938 0.8784679379
+-5 45 1.26456201177178 0.4219186254 1.592474196 0.8924741959
+-10 45 1.28894722746202 0.3405262543 1.604420555 0.9044205547
+-15 45 1.31577952528799 0.2550587100 1.614133339 0.9141333392
+-20 45 1.34540680306804 0.1646660062 1.621322576 0.9213225761
+-25 45 1.37824798855725 0.06840768874 1.625552698 0.9255526983
+-30 45 1.41479818212442 -0.03474344932 1.626202823 0.9262028232
+-35 45 1.45562834085843 -0.1458806449 1.622413156 0.9224131556
+-40 45 1.50137787433758 -0.2661135010 1.613018517 0.9130185171
+-45 45 1.55272966998752 -0.3964688929 1.596468893 0.8964688929
+
+45 50 1.10228204992851 1.170320204 1.370320204 0.5624654358
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+35 50 1.11248225652057 1.025852662 1.450995431 0.6301599891
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+5 50 1.19694747338629 0.5800401075 1.614862615 0.7676608828
+0 50 1.21830643732643 0.5000000000 1.633276876 0.7831122827
+-5 50 1.24198865778253 0.4169479799 1.649288934 0.7965479945
+-10 50 1.26820863305477 0.3302392500 1.662761055 0.8078524464
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+-30 50 1.40480528274352 -0.06821809447 1.684182609 0.8258272646
+-35 50 1.44897194412752 -0.1849059833 1.678147115 0.8207628833
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+-45 50 1.55284914362750 -0.4443192461 1.644319246 0.7923779311
+
+45 55 1.08655801122581 1.188537984 1.388537984 0.4821194870
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+-40 55 1.49565139442656 -0.3472042236 1.709658677 0.7069706167
+-45 55 1.55317225495978 -0.4842254926 1.684225493 0.6891621092
+
+45 60 1.07391658774685 1.203043436 1.403043436 0.4059023171
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+
+45 65 1.06389596992419 1.214451821 1.414451821 0.3331543557
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+-5 65 1.19103913500181 0.4058560191 1.776070625 0.5017799732
+-10 65 1.22157010789114 0.3072310975 1.793246772 0.5097893422
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+-25 65 1.33671957005477 -0.02036036057 1.815916394 0.5203603606
+-30 65 1.38378026840009 -0.1415521245 1.811200875 0.5181614779
+-35 65 1.43557804227510 -0.2692075690 1.798542256 0.5122586670
+-40 65 1.49229372941962 -0.4033252377 1.776541097 0.5019993580
+-45 65 1.55402894879156 -0.5435971602 1.743597160 0.4866373478
+
+45 70 1.05613526060767 1.223232004 1.423232004 0.2632349221
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+
+45 75 1.05036022259142 1.229734184 1.429734184 0.1955316852
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+
+45 80 1.04637062249212 1.234210896 1.434210896 0.1294611905
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+
+45 85 1.04402943968504 1.236831667 1.436831667 0.06446441775
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+
+45 90 1.04325754000890 1.237694481 1.437694481 0.000000000
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+-10 90 1.19240997608646 0.2929401806 1.874294589 0.000000000
+-15 90 1.23025529649643 0.1815864989 1.888335364 0.000000000
+-20 90 1.27269286658044 0.06471340336 1.895940095 0.000000000
+-25 90 1.31981843678751 -0.05777937357 1.896161727 0.000000000
+-30 90 1.37168400375409 -0.1858420019 1.887913193 0.000000000
+-35 90 1.42828439522447 -0.3192302735 1.869982082 0.000000000
+-40 90 1.48953231344341 -0.4574529153 1.841047952 0.000000000
+-45 90 1.55525099492501 -0.5997285250 1.799728525 0.000000000
+
+
+### -x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = 180 - dsigma = 180 - dphi
+#
+# dpx dpy gridfn global_x global_y global_z
+-90 45 1.55525098469744 -0.5997285177 1.799728518 1.346779009e-16
+-90 40 1.62515885238020 -0.7449439081 1.744631974 1.524616572e-16
+-90 35 1.69885337271948 -0.8916192132 1.674422263 1.704242015e-16
+-90 30 1.77580979911173 -1.037896398 1.587904900 1.883379902e-16
+-90 25 1.85538639613575 -1.181551139 1.484120174 2.059306220e-16
+-90 20 1.93682738768133 -1.320022404 1.362433981 2.228884611e-16
+-90 15 2.01928183206433 -1.450476472 1.222628596 2.388644768e-16
+-90 10 2.10181336989423 -1.569882102 1.064976061 2.534874491e-16
+-90 5 2.18343682655499 -1.675128190 0.8902990584 2.663763776e-16
+-90 -2.84217e-14 2.26313951093101 -1.763139511 0.7000000000 2.771546558e-16
+-90 -5 2.33989851976445 -1.830994499 0.4960644066 2.854644953e-16
+-90 -10 2.41271767278605 -1.876063070 0.2810359729 2.909838033e-16
+-90 -15 2.48063452022322 -1.896108949 0.05796454223 2.934387154e-16
+-90 -20 2.54273491696305 -1.889389238 -0.1696665607 2.926157882e-16
+-90 -25 2.59818998923854 -1.854759819 -0.3980425369 2.883749076e-16
+-90 -30 2.64625849233978 -1.791727079 -0.6231292462 2.806556232e-16
+-90 -35 2.68630165309672 -1.700489491 -0.8407993291 2.694822411e-16
+-90 -40 2.71778361471918 -1.581943036 -1.046957633 2.549644875e-16
+-90 -45 2.74028188562286 -1.437671904 -1.237671904 2.372963695e-16
+
+-85 45 1.55519762902144 -0.5975924790 1.797592479 0.09602689908
+-85 40 1.62491674159430 -0.7419722773 1.742138480 0.1086584947
+-85 35 1.69835019540482 -0.8876480560 1.671641629 0.1214034739
+-85 30 1.77497331688017 -1.032778669 1.584950177 0.1341007572
+-85 25 1.85414911118063 -1.175171986 1.481145526 0.1465585582
+-85 20 1.93513349247817 -1.312316356 1.359629209 0.1585571359
+-85 15 2.01709306379124 -1.441442186 1.220207866 0.1698541822
+-85 10 2.09911443129938 -1.559593644 1.063161929 0.1801910953
+-85 5 2.18023958035437 -1.663740637 0.8893027766 0.1893027766
+-85 -2.84217e-14 2.25948257154996 -1.750884558 0.7000000000 0.1969268817
+-85 -5 2.33584869184836 -1.818172178 0.4971862143 0.2028137857
+-85 -10 2.40836508607656 -1.863021925 0.2833354787 0.2067376301
+-85 -15 2.47608816508011 -1.883222721 0.06141739657 0.2085049707
+-85 -20 2.53812132897707 -1.877034358 -0.1651697521 0.2079635591
+-85 -25 2.59363898847415 -1.843280456 -0.3926896220 0.2050104754
+-85 -30 2.64189695748565 -1.781410804 -0.6171731415 0.1995975822
+-85 -35 2.68224514709053 -1.691545815 -0.8345369003 0.1917354145
+-85 -40 2.71412864437342 -1.574489386 -1.040703279 0.1814943039
+-85 -45 2.73710168716435 -1.431730199 -1.231730199 0.1690044934
+
+-80 45 1.55503744838359 -0.5911291027 1.791129103 0.1923955002
+-80 40 1.62418890867483 -0.7330036139 1.734612878 0.2174118044
+-80 35 1.69684062430455 -0.8756943219 1.663271534 0.2425720262
+-80 30 1.77246905605678 -1.017413353 1.576079008 0.2675609150
+-80 25 1.85045244406696 -1.156066360 1.472236426 0.2920091811
+-80 20 1.93008199556922 -1.289288353 1.351247701 0.3154998129
+-80 15 2.01057448692767 -1.414496015 1.212987661 0.3375773019
+-80 10 2.09108520963559 -1.528953893 1.057759314 0.3577593140
+-80 5 2.17073387766732 -1.629864685 0.8863390148 0.3755526092
+-80 -2.84217e-14 2.24861278844774 -1.714451308 0.7000000000 0.3904675130
+-80 -5 2.32380877916107 -1.780057590 0.5005208087 0.4020356707
+-80 -10 2.39541852603500 -1.824244714 0.2901729472 0.4098270528
+-80 -15 2.46255570266077 -1.844878596 0.07169167387 0.4134653629
+-80 -20 2.52436705280067 -1.840222113 -0.1517711907 0.4126442994
+-80 -25 2.58004511255736 -1.809016874 -0.3767122511 0.4071419738
+-80 -30 2.62883951168051 -1.750553353 -0.5993575843 0.3968332777
+-80 -35 2.67006959667255 -1.664728691 -0.8157593475 0.3817000741
+-80 -40 2.70313179520126 -1.552083507 -1.021902514 0.3618376890
+-80 -45 2.72750832425539 -1.413821248 -1.213821248 0.3374583223
+
+-75 45 1.55477962570730 -0.5801778441 1.780177844 0.2894327810
+-75 40 1.62298139141225 -0.7178845629 1.721926488 0.3263311851
+-75 35 1.69433466484147 -0.8556467471 1.649234071 0.3632444511
+-75 30 1.76832082599179 -0.9917731726 1.561275643 0.3997194169
+-75 25 1.84434689318634 -1.124335701 1.457440177 0.4352394394
+-75 20 1.92176446142772 -1.251209181 1.337388016 0.4692350859
+-75 15 1.99986995565882 -1.370104647 1.201093030 0.5010930299
+-75 10 2.07792804482456 -1.478630977 1.048886026 0.5301725724
+-75 5 2.15517471971230 -1.574345103 0.8814816807 0.5558190951
+-75 -2.84217e-14 2.23082930033643 -1.654815635 0.7000000000 0.5773811093
+-75 -5 2.30410313669332 -1.717687974 0.5059774430 0.5942277017
+-75 -10 2.37420333264351 -1.760748283 0.3013690811 0.6057656768
+-75 -15 2.44033734849757 -1.781991488 0.08854222372 0.6114577763
+-75 -20 2.50172040999540 -1.779694436 -0.1297409181 0.6108422832
+-75 -25 2.55758137297363 -1.752488807 -0.3503527807 0.6035525568
+-75 -30 2.60716942871789 -1.699434262 -0.5698439630 0.5893366342
+-75 -35 2.64976891455619 -1.620095093 -0.7845065661 0.5680777682
+-75 -40 2.68470230662245 -1.514599497 -0.9904496951 0.5398103084
+-75 -45 2.71134674407916 -1.383698906 -1.183698906 0.5047356008
+
+-70 45 1.55443597453454 -0.5644638879 1.764463888 0.3874331706
+-70 40 1.62130092106291 -0.6963569326 1.703862661 0.4354383130
+-70 35 1.69084799628758 -0.8273234302 1.629401871 0.4831062198
+-70 30 1.76257084038248 -0.9558213590 1.540518854 0.5298756411
+-70 25 1.83592266485375 -1.080159126 1.436840302 0.5751308873
+-70 20 1.91033599558872 -1.198530340 1.318214486 0.6182144857
+-70 15 1.98521782841672 -1.309031105 1.184728424 0.6584334752
+-70 10 2.05996923362148 -1.409700710 1.036731760 0.6950742147
+-70 5 2.13397356045196 -1.498536640 0.8748492996 0.7274078490
+-70 -2.84217e-14 2.20661223068053 -1.573537230 0.7000000000 0.7547058314
+-70 -5 2.27725061805336 -1.632720331 0.5134111486 0.7762467185
+-70 -10 2.34523973756541 -1.674161594 0.3166366506 0.7913301045
+-70 -15 2.40991212570731 -1.696034075 0.1115744432 0.7992910366
+-70 -20 2.47057980733870 -1.696657954 -0.09951811017 0.7995181102
+-70 -25 2.52653120463044 -1.674558557 -0.3140133081 0.7914745873
+-70 -30 2.57703452604381 -1.628539642 -0.5289129354 0.7747250722
+-70 -35 2.62134240865824 -1.557765810 -0.7408631324 0.7489655041
+-70 -40 2.65870077435570 -1.461853634 -0.9461906604 0.7140563266
+-70 -45 2.68836736218808 -1.340969986 -1.140969986 0.6700582771
+
+-65 45 1.55402870937078 -0.5435969994 1.743596999 0.4866372728
+-65 40 1.61916241322642 -0.6680641999 1.680122239 0.5446772816
+-65 35 1.68640686632536 -0.7904831014 1.603605996 0.6017621529
+-65 30 1.75528052990884 -0.9095223830 1.513788127 0.6572710815
+-65 25 1.82530302520892 -1.023794232 1.410556920 0.7105569198
+-65 20 1.89600905020711 -1.131874839 1.293953868 0.7609557348
+-65 15 1.96693930694121 -1.232304129 1.164169492 0.8077866817
+-65 10 2.03764350920441 -1.323593403 1.021548719 0.8503555690
+-65 5 2.10767791702232 -1.404228188 0.8665983792 0.8879561869
+-65 -2.84217e-14 2.17659533486616 -1.472665301 0.7000000000 0.9198689369
+-65 -5 2.24393928177189 -1.527336529 0.5226310366 0.9453625491
+-65 -10 2.30922618209292 -1.566646895 0.3355943929 0.9636932737
+-65 -15 2.37193457170716 -1.588987717 0.1402574281 0.9741109704
+-65 -20 2.43149994828867 -1.592766164 -0.06170459110 0.9758728892
+-65 -25 2.48730195697609 -1.576442280 -0.2682609368 0.9682609368
+-65 -30 2.53865643359001 -1.538587568 -0.4769790809 0.9506089946
+-65 -35 2.58481288884751 -1.477967132 -0.6849874964 0.9223412214
+-65 -40 2.62496060729629 -1.393647287 -0.8889587404 0.8830222319
+-65 -45 2.65823456018341 -1.285118636 -1.085118636 0.8324144909
+
+-60 45 1.55359074907979 -0.5170638867 1.717063887 0.5872021087
+-60 40 1.61659340761131 -0.6325577557 1.650328795 0.6538825251
+-60 35 1.68105317793527 -0.7448407907 1.571646906 0.7187091656
+-60 30 1.74653617948419 -0.8528611073 1.481074724 0.7810747245
+-60 25 1.81265244828032 -0.9555930832 1.378754202 0.8403870584
+-60 20 1.87905165548804 -1.052030405 1.264892870 0.8960651719
+-60 15 1.94542100103993 -1.141176655 1.139751959 0.9475337838
+-60 10 2.01147285411704 -1.222024854 1.003639443 0.9942115131
+-60 5 2.07693208268375 -1.293535239 0.8569140011 1.035498053
+-60 -2.84217e-14 2.14153053068002 -1.354619843 0.7000000000 1.070765265
+-60 -5 2.20498926381420 -1.404119051 0.5334111690 1.099343647
+-60 -10 2.26699768818869 -1.440780039 0.3577881156 1.120509878
+-60 -15 2.32719800923044 -1.463247566 0.1739494001 1.133481511
+-60 -20 2.38517258111216 -1.470068441 -0.01704627215 1.137419545
+-60 -25 2.44042339932628 -1.459704644 -0.2138252830 1.131436004
+-60 -30 2.49235396166574 -1.430569077 -0.4146145765 1.114614576
+-60 -35 2.54025672810194 -1.381091708 -0.6171545942 1.086048804
+-60 -40 2.58330355408132 -1.309818388 -0.8186179421 1.044899134
+-60 -45 2.62054411799588 -1.215548826 -1.015548826 0.9904725766
+
+-55 45 1.55317186742660 -0.4842252471 1.684225247 0.6891619373
+-55 40 1.61363724035976 -0.5893065373 1.614036714 0.7627406488
+-55 35 1.67485114363719 -0.6900902268 1.533310148 0.8333101480
+-55 30 1.73645527132775 -0.7858667301 1.442395503 0.9003735776
+-55 25 1.79817141817874 -0.8760082901 1.341643203 0.9634913774
+-55 20 1.85977929854020 -0.9599352770 1.231372985 1.022257686
+-55 15 1.92111061149434 -1.037091464 1.111862417 1.076283030
+-55 10 1.98203728605881 -1.106914286 0.9833423443 1.125173496
+-55 5 2.04244899285875 -1.168796213 0.8460007504 1.168503688
+-55 -2.84217e-14 2.10224097954432 -1.222054996 0.7000000000 1.205795889
+-55 -5 2.16130113185704 -1.265905125 0.5455033207 1.236500080
+-55 -10 2.21948709069158 -1.299424026 0.3827129944 1.259970268
+-55 -15 2.27660989679193 -1.321528453 0.2119229220 1.275447954
+-55 -20 2.33241450116323 -1.330956078 0.03358648726 1.282049248
+-55 -25 2.38655314367500 -1.326253536 -0.1515960095 1.278756492
+-55 -30 2.43856130796775 -1.305784985 -0.3425704469 1.264424259
+-55 -35 2.48783200764007 -1.267765792 -0.5378029333 1.237802933
+-55 -40 2.53358500267406 -1.210329086 -0.7351365051 1.197585319
+-55 -45 2.57485209204816 -1.131651004 -0.9316510037 1.142494333
+
+-50 45 1.55284865745000 -0.4443189505 1.644318950 0.7923776830
+-50 40 1.61036086024929 -0.5377173074 1.570748210 0.8707482099
+-50 35 1.66789090162380 -0.6259311679 1.488385491 0.9447684277
+-50 30 1.72519021675871 -0.7086388271 1.397807952 1.014168394
+-50 25 1.78210134055852 -0.7856083859 1.299489036 1.078753522
+-50 20 1.83854461213654 -0.8566609160 1.193784191 1.138373674
+-50 15 1.89449278925673 -0.9216266032 1.080923700 1.192886358
+-50 10 1.94995776955954 -0.9803111657 0.9610187984 1.242128553
+-50 5 2.00497341310656 -1.032460914 0.8340729573 1.285887388
+-50 -2.84217e-14 2.05958039086122 -1.077730114 0.7000000000 1.323872756
+-50 -5 2.11381251054483 -1.115649879 0.5586489513 1.355691218
+-50 -10 2.16767997504707 -1.145595059 0.4098371918 1.380818207
+-50 -15 2.22115274895421 -1.166752101 0.2533951204 1.398571074
+-50 -20 2.27414055176413 -1.178086887 0.08922632277 1.408082088
+-50 -25 2.32646662893159 -1.178313651 -0.08261050833 1.408272366
+-50 -30 2.37783782100177 -1.165872602 -0.2617919951 1.397833086
+-50 -35 2.42780812660687 -1.138923048 -0.4475862724 1.375219725
+-50 -40 2.47573357723620 -1.095363900 -0.6386692597 1.338669260
+-50 -45 2.52072447422068 -1.032903982 -0.8329039816 1.286259166
+
+-45 45 1.55272933947749 -0.3964687021 1.596468702 0.8964687021
+-45 40 1.60686413888120 -0.4771668668 1.519940357 0.9771668668
+-45 35 1.66030186919874 -0.5521121659 1.436696870 1.052112166
+-45 30 1.71292650359980 -0.6213736232 1.347425363 1.121373623
+-45 25 1.76472054174048 -0.6850856107 1.252614496 1.185085611
+-45 20 1.81573434874536 -0.7433986834 1.152560110 1.243398683
+-45 15 1.86606955760271 -0.7964454630 1.047381515 1.296445463
+-45 10 1.91585858868492 -0.8443078589 0.9370377459 1.344307859
+-45 5 1.96525065711420 -0.8869905023 0.8213459454 1.386990502
+-45 -2.84217e-14 2.01440076312344 -0.9243964396 0.7000000000 1.424396440
+-45 -5 2.06346192877667 -0.9563038494 0.5725899225 1.456303849
+-45 -10 2.11257067784652 -0.9823355865 0.4386242416 1.482335586
+-45 -15 2.16183722148834 -1.001929039 0.2975593269 1.501929039
+-45 -20 2.21132653909737 -1.014296686 0.1488410804 1.514296686
+-45 -25 2.26103905870089 -1.018384804 -0.008034462088 1.518384804
+-45 -30 2.31087959400606 -1.012825809 -0.1734303879 1.512825809
+-45 -35 2.36061507655152 -0.9958917334 -0.3474346680 1.495891733
+-45 -40 2.40981900730079 -0.9654601045 -0.5296670332 1.465460104
+-45 -45 2.45779943418993 -0.9190111649 -0.7190111649 1.419011165
+
+
+### -y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 + dsigma = 90 + dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -90 2.74028189897465 -1.437671913 -1.237671913 2.372963706e-16
+-40 -90 2.75349392712260 -1.269911780 -1.409298722 2.583145928e-16
+-35 -90 2.75724050628149 -1.081488184 -1.558599197 2.765986278e-16
+-30 -90 2.75147211805735 -0.8757360590 -1.682844752 2.918143198e-16
+-25 -90 2.73626571870142 -0.6563958617 -1.779898928 3.037000285e-16
+-20 -90 2.71181933895382 -0.4274968390 -1.848276622 3.120738808e-16
+-15 -90 2.67846867844779 -0.1932387057 -1.887202071 3.168408736e-16
+-10 -90 2.63666108557564 0.04214860736 -1.896604279 3.179923119e-16
+-5 -90 2.58694786026080 0.2745326378 -1.877103743 3.156041849e-16
+-2.84217e-14 -90 2.52999363079153 0.5000000000 -1.829993631 3.098348602e-16
+5 -90 2.46655868328877 0.7149747541 -1.757172683 3.009168661e-16
+10 -90 2.39750191401307 0.9163218383 -1.661078473 2.891487194e-16
+15 -90 2.32374479884641 1.101429410 -1.544565115 2.748799483e-16
+20 -90 2.24626397435274 1.268267526 -1.410797681 2.584981624e-16
+25 -90 2.16606494502040 1.415418602 -1.263121527 2.404130494e-16
+30 -90 2.08416390583028 1.542081953 -1.104938888 2.210412632e-16
+35 -90 2.00157331576119 1.648055290 -0.9395928734 2.007922164e-16
+40 -90 1.91926671831677 1.733680866 -0.7702436044 1.800529124e-16
+45 -90 1.83815525306009 1.799772044 -0.5997720443 1.591761674e-16
+
+-45 -85 2.73710170787843 -1.431730214 -1.231730214 0.1690044947
+-40 -85 2.74971963272373 -1.263529518 -1.401692639 0.1838742801
+-35 -85 2.75291357453642 -1.074966952 -1.549285913 0.1967870184
+-30 -85 2.74666439139583 -0.8694071432 -1.671882748 0.2075128517
+-25 -85 2.73107412355104 -0.6505904889 -1.767449266 0.2158738386
+-20 -85 2.70636315765695 -0.4225183664 -1.834598381 0.2217486249
+-15 -85 2.67288058407668 -0.1893353258 -1.872634459 0.2250763506
+-10 -85 2.63108091744295 0.04480403432 -1.881544605 0.2258558873
+-5 -85 2.58151842770244 0.2758555479 -1.861982811 0.2241444521
+-2.84217e-14 -85 2.52484513984137 0.5000000000 -1.815237342 0.2200547535
+5 -85 2.46180434817809 0.7137500863 -1.743174666 0.2137500863
+10 -85 2.39322994272835 0.9140460324 -1.648171736 0.2054384069
+15 -85 2.32001772230011 1.098332070 -1.533005685 0.1953626830
+20 -85 2.24311300777842 1.264610227 -1.400749333 0.1837917515
+25 -85 2.16349211790970 1.411470484 -1.254654761 0.1710101327
+30 -85 2.08214414212742 1.538096635 -1.098036114 0.1573077766
+35 -85 2.00005878139063 1.644251862 -0.9341610154 0.1429705632
+40 -85 1.91819151138028 1.730229915 -0.7661309215 0.1282698349
+45 -85 1.83744363926712 1.796789734 -0.5967897336 0.1134544007
+
+-45 -80 2.72750836502813 -1.413821277 -1.213821277 0.3374583273
+-40 -80 2.73836378144147 -1.244345388 -1.378829883 0.3665537966
+-35 -80 2.73992754694567 -1.055416681 -1.521365233 0.3916866246
+-30 -80 2.73226808925519 -0.8504792698 -1.639098710 0.4124462131
+-25 -80 2.71556097864893 -0.6332661434 -1.730297087 0.4285269476
+-20 -80 2.69009009414556 -0.4076894107 -1.793856160 0.4397341270
+-15 -80 2.65624141357901 -0.1777262316 -1.829308730 0.4459853716
+-10 -80 2.61448885950900 0.05269267055 -1.836805925 0.4473073294
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+
diff --git a/test/checkpointML/phi.d.asc b/test/checkpointML/phi.d.asc
new file mode 100644
index 0000000..ee36561
--- /dev/null
+++ b/test/checkpointML/phi.d.asc
@@ -0,0 +1,54 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400
+# parameter filename: "checkpointML.par"
+#
+# phi d (phi)
+#
+# 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
+0 0 0 0 0 0 0 0 0 -0.6 -3 -0.6 0.0418461501069053
+0 0 0 0 0 1 1 1 0 -0.4 -2.8 -0.4 0.0449559832810808
+0 0 0 0 0 2 2 2 0 -0.2 -2.6 -0.2 0.0482974931098709
+0 0 0 0 0 3 3 3 0 0 -2.4 0 0.0517444047880428
+0 0 0 0 0 4 4 4 0 0.2 -2.2 0.2 0.0550354196212624
+0 0 0 0 0 5 5 5 0 0.4 -2 0.4 0.0577438892729511
+0 0 0 0 0 6 6 6 0 0.6 -1.8 0.6 0.0593604916161184
+0 0 0 0 0 7 7 7 0 0.8 -1.6 0.8 0.059539630236381
+0 0 0 0 0 8 8 8 0 1 -1.4 1 0.0583200986669331
+0 0 0 0 0 9 9 9 0 1.2 -1.2 1.2 0.0560589827984115
+0 0 0 0 0 10 10 10 0 1.4 -1 1.4 0.0531872351076006
+0 0 0 0 0 11 11 11 0 1.6 -0.8 1.6 0.0500525790414781
+0 0 0 0 0 12 12 12 0 1.8 -0.6 1.8 0.0468898909176895
+0 0 0 0 0 13 13 13 0 2 -0.4 2 0.043841654441818
+0 0 0 0 0 14 14 14 0 2.2 -0.2 2.2 0.0409845163085126
+0 0 0 0 0 15 15 15 0 2.4 0 2.4 0.03835159471018
+0 0 0 0 0 16 16 16 0 2.6 0.2 2.6 0.03594929782649
+0 0 0 0 0 17 17 17 0 2.8 0.4 2.8 0.0337690242705711
+0 0 0 0 0 18 18 18 0 3 0.6 3 0.0317947082562694
+
+
+# iteration 1
+# 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
+1 0 0 0 0 0 0 0 0.05 -0.6 -3 -0.6 0.041711206368217
+1 0 0 0 0 1 1 1 0.05 -0.4 -2.8 -0.4 0.0447963535591093
+1 0 0 0 0 2 2 2 0.05 -0.2 -2.6 -0.2 0.048127214120949
+1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783
+1 0 0 0 0 4 4 4 0.05 0.2 -2.2 0.2 0.0550323627082729
+1 0 0 0 0 5 5 5 0.05 0.4 -2 0.4 0.0577465252800712
+1 0 0 0 0 6 6 6 0.05 0.6 -1.8 0.6 0.0593727676256391
+1 0 0 0 0 7 7 7 0.05 0.8 -1.6 0.8 0.0595671303696431
+1 0 0 0 0 8 8 8 0.05 1 -1.4 1 0.0583563592410243
+1 0 0 0 0 9 9 9 0.05 1.2 -1.2 1.2 0.0560944399742688
+1 0 0 0 0 10 10 10 0.05 1.4 -1 1.4 0.0532162129214042
+1 0 0 0 0 11 11 11 0.05 1.6 -0.8 1.6 0.0500740131589569
+1 0 0 0 0 12 12 12 0.05 1.8 -0.6 1.8 0.0469049811989668
+1 0 0 0 0 13 13 13 0.05 2 -0.4 2 0.0438534969967869
+1 0 0 0 0 14 14 14 0.05 2.2 -0.2 2.2 0.0409934532530171
+1 0 0 0 0 15 15 15 0.05 2.4 0 2.4 0.0383609033530864
+1 0 0 0 0 16 16 16 0.05 2.6 0.2 2.6 0.0358557087278643
+1 0 0 0 0 17 17 17 0.05 2.8 0.4 2.8 0.0336898595175759
+1 0 0 0 0 18 18 18 0.05 3 0.6 3 0.0317290034219846
+
+
diff --git a/test/checkpointML/phi.x.asc b/test/checkpointML/phi.x.asc
new file mode 100644
index 0000000..7b3707e
--- /dev/null
+++ b/test/checkpointML/phi.x.asc
@@ -0,0 +1,54 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400
+# parameter filename: "checkpointML.par"
+#
+# phi x (phi)
+#
+# 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
+0 0 0 0 0 0 15 3 0 -0.6 0 0 0
+0 0 0 0 0 1 15 3 0 -0.4 0 0 0
+0 0 0 0 0 2 15 3 0 -0.2 0 0 0
+0 0 0 0 0 3 15 3 0 0 0 0 0
+0 0 0 0 0 4 15 3 0 0.2 0 0 0
+0 0 0 0 0 5 15 3 0 0.4 0 0 0
+0 0 0 0 0 6 15 3 0 0.6 0 0 0
+0 0 0 0 0 7 15 3 0 0.8 0 0 0
+0 0 0 0 0 8 15 3 0 1 0 0 0
+0 0 0 0 0 9 15 3 0 1.2 0 0 0.089426986060179
+0 0 0 0 0 10 15 3 0 1.4 0 0 0.0790192257126239
+0 0 0 0 0 11 15 3 0 1.6 0 0 0.0711445106729648
+0 0 0 0 0 12 15 3 0 1.8 0 0 0.0648868128770822
+0 0 0 0 0 13 15 3 0 2 0 0 0.0597502314947582
+0 0 0 0 0 14 15 3 0 2.2 0 0 0.0554346926262661
+0 0 0 0 0 15 15 3 0 2.4 0 0 0.0517444047880428
+0 0 0 0 0 16 15 3 0 2.6 0 0 0.0485444731857333
+0 0 0 0 0 17 15 3 0 2.8 0 0 0.0457380536195029
+0 0 0 0 0 18 15 3 0 3 0 0 0.0432533402490022
+
+
+# iteration 1
+# 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
+1 0 0 0 0 0 15 3 0.05 -0.6 0 0 0
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+1 0 0 0 0 2 15 3 0.05 -0.2 0 0 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 4 15 3 0.05 0.2 0 0 0
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+1 0 0 0 0 6 15 3 0.05 0.6 0 0 0
+1 0 0 0 0 7 15 3 0.05 0.8 0 0 -5.55861217568079e-06
+1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306211
+1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469049
+1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964650638
+1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993777
+1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841719
+1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390393134
+1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185975121
+1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933121
+1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099652895
+1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620374
+1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045829
+
+
diff --git a/test/checkpointML/phi.y.asc b/test/checkpointML/phi.y.asc
new file mode 100644
index 0000000..5c59400
--- /dev/null
+++ b/test/checkpointML/phi.y.asc
@@ -0,0 +1,78 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400
+# parameter filename: "checkpointML.par"
+#
+# phi y (phi)
+#
+# 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
+0 0 0 0 0 3 0 3 0 0 -3 0 0.0432533402490022
+0 0 0 0 0 3 1 3 0 0 -2.8 0 0.0457380536195029
+0 0 0 0 0 3 2 3 0 0 -2.6 0 0.0485444731857333
+0 0 0 0 0 3 3 3 0 0 -2.4 0 0.0517444047880428
+0 0 0 0 0 3 4 3 0 0 -2.2 0 0.055434692626266
+0 0 0 0 0 3 5 3 0 0 -2 0 0.0597502314947582
+0 0 0 0 0 3 6 3 0 0 -1.8 0 0.0648868128770822
+0 0 0 0 0 3 7 3 0 0 -1.6 0 0.0711445106729648
+0 0 0 0 0 3 8 3 0 0 -1.4 0 0.0790192257126239
+0 0 0 0 0 3 9 3 0 0 -1.2 0 0.089426986060179
+0 0 0 0 0 3 10 3 0 0 -1 0 0
+0 0 0 0 0 3 11 3 0 0 -0.8 0 0
+0 0 0 0 0 3 12 3 0 0 -0.6 0 0
+0 0 0 0 0 3 13 3 0 0 -0.4 0 0
+0 0 0 0 0 3 14 3 0 0 -0.2 0 0
+0 0 0 0 0 3 15 3 0 0 0 0 0
+0 0 0 0 0 3 16 3 0 0 0.2 0 0
+0 0 0 0 0 3 17 3 0 0 0.4 0 0
+0 0 0 0 0 3 18 3 0 0 0.6 0 0
+0 0 0 0 0 3 19 3 0 0 0.8 0 0
+0 0 0 0 0 3 20 3 0 0 1 0 0
+0 0 0 0 0 3 21 3 0 0 1.2 0 0.089426986060179
+0 0 0 0 0 3 22 3 0 0 1.4 0 0.0790192257126238
+0 0 0 0 0 3 23 3 0 0 1.6 0 0.0711445106729648
+0 0 0 0 0 3 24 3 0 0 1.8 0 0.0648868128770822
+0 0 0 0 0 3 25 3 0 0 2 0 0.0597502314947583
+0 0 0 0 0 3 26 3 0 0 2.2 0 0.0554346926262661
+0 0 0 0 0 3 27 3 0 0 2.4 0 0.0517444047880428
+0 0 0 0 0 3 28 3 0 0 2.6 0 0.0485444731857333
+0 0 0 0 0 3 29 3 0 0 2.8 0 0.0457380536195029
+0 0 0 0 0 3 30 3 0 0 3 0 0.0432533402490022
+
+
+# iteration 1
+# 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
+1 0 0 0 0 3 0 3 0.05 0 -3 0 0.0431061011045822
+1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.0455714836620247
+1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653222
+1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783
+1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185978202
+1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390393163
+1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424165
+1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039991319
+1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964652108
+1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.100181376469625
+1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306342
+1 0 0 0 0 3 11 3 0.05 0 -0.8 0 -5.55861217568079e-06
+1 0 0 0 0 3 12 3 0.05 0 -0.6 0 0
+1 0 0 0 0 3 13 3 0.05 0 -0.4 0 0
+1 0 0 0 0 3 14 3 0.05 0 -0.2 0 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 3 16 3 0.05 0 0.2 0 0
+1 0 0 0 0 3 17 3 0.05 0 0.4 0 0
+1 0 0 0 0 3 18 3 0.05 0 0.6 0 0
+1 0 0 0 0 3 19 3 0.05 0 0.8 0 -5.55861217568079e-06
+1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306577
+1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376468984
+1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964650271
+1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039993438
+1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.0648908828419115
+1 0 0 0 0 3 25 3 0.05 0 2 0 0.059753039039337
+1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185977353
+1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289337347
+1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653856
+1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.045571483662046
+1 0 0 0 0 3 30 3 0.05 0 3 0 0.0431061011045644
+
+
diff --git a/test/checkpointML/phi.z.asc b/test/checkpointML/phi.z.asc
new file mode 100644
index 0000000..8dbe480
--- /dev/null
+++ b/test/checkpointML/phi.z.asc
@@ -0,0 +1,54 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400
+# parameter filename: "checkpointML.par"
+#
+# phi z (phi)
+#
+# 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
+0 0 0 0 0 3 15 0 0 0 0 -0.6 0
+0 0 0 0 0 3 15 1 0 0 0 -0.4 0
+0 0 0 0 0 3 15 2 0 0 0 -0.2 0
+0 0 0 0 0 3 15 3 0 0 0 0 0
+0 0 0 0 0 3 15 4 0 0 0 0.2 0
+0 0 0 0 0 3 15 5 0 0 0 0.4 0
+0 0 0 0 0 3 15 6 0 0 0 0.6 0
+0 0 0 0 0 3 15 7 0 0 0 0.8 0
+0 0 0 0 0 3 15 8 0 0 0 1 0
+0 0 0 0 0 3 15 9 0 0 0 1.2 0.070608155032267
+0 0 0 0 0 3 15 10 0 0 0 1.4 0.0659656044477665
+0 0 0 0 0 3 15 11 0 0 0 1.6 0.0616648733536704
+0 0 0 0 0 3 15 12 0 0 0 1.8 0.0577622650466621
+0 0 0 0 0 3 15 13 0 0 0 2 0.0542488641446389
+0 0 0 0 0 3 15 14 0 0 0 2.2 0.0510920394072007
+0 0 0 0 0 3 15 15 0 0 0 2.4 0.0482528228160437
+0 0 0 0 0 3 15 16 0 0 0 2.6 0.0456930193901241
+0 0 0 0 0 3 15 17 0 0 0 2.8 0.0433778698244126
+0 0 0 0 0 3 15 18 0 0 0 3 0.0412767864358355
+
+
+# iteration 1
+# 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
+1 0 0 0 0 3 15 0 0.05 0 0 -0.6 0
+1 0 0 0 0 3 15 1 0.05 0 0 -0.4 0
+1 0 0 0 0 3 15 2 0.05 0 0 -0.2 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 3 15 4 0.05 0 0 0.2 0
+1 0 0 0 0 3 15 5 0.05 0 0 0.4 0
+1 0 0 0 0 3 15 6 0.05 0 0 0.6 0
+1 0 0 0 0 3 15 7 0.05 0 0 0.8 -2.98923381217742e-06
+1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200577
+1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250962441
+1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.0659748462403934
+1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745610345
+1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.0577632417394683
+1 0 0 0 0 3 15 13 0.05 0 0 2 0.0542514864848703
+1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564456756
+1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970911499
+1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.045451090264976
+1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523133
+1 0 0 0 0 3 15 18 0.05 0 0 3 0.041076371737518
+
+
diff --git a/test/recoverML.par b/test/recoverML.par
new file mode 100644
index 0000000..e6b4318
--- /dev/null
+++ b/test/recoverML.par
@@ -0,0 +1,108 @@
+# $Header$
+
+# This parameter file sets up Kerr/Kerr-Schild initial data, then
+# finds the apparent horizon in it.
+
+# flesh
+cactus::cctk_itlast = 2
+
+# create output directory
+ActiveThorns = "IOUtil"
+IO::out_dir = $parfile
+IO::parfile_write = "no"
+
+ActiveThorns = "Carpet CarpetLib"
+driver::ghost_size = 3
+driver::global_nx = 19
+driver::global_ny = 31
+driver::global_nz = 19
+
+ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase"
+grid::domain = "bitant"
+grid::avoid_origin = "false"
+grid::type = "byrange"
+grid::xmin = -0.6
+grid::ymin = -3.0
+grid::zmin = -0.6
+grid::xmax = 3.0
+grid::ymax = 3.0
+grid::zmax = 3.0
+
+ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN_O2 ML_BSSN_O2_Helper GenericFD TmunuBase NewRad MoL"
+ADMBase::initial_lapse = "exact"
+ADMBase::initial_shift = "exact"
+ADMBase::initial_data = "exact"
+ADMBase::lapse_evolution_method = "ML_BSSN_O2"
+ADMBase::dtlapse_evolution_method = "ML_BSSN_O2"
+ADMBase::shift_evolution_method = "static"
+ADMBase::metric_type = "physical"
+ADMBase::evolution_method = ML_BSSN_O2
+Exact::exact_model = "Kerr/Kerr-Schild"
+Exact::Kerr_KerrSchild__mass = 1.0
+Exact::Kerr_KerrSchild__spin = 0.6
+
+# These are necessary
+ML_BSSN_O2::ML_log_confac_bound = "none"
+ML_BSSN_O2::ML_metric_bound = "none"
+ML_BSSN_O2::ML_Gamma_bound = "none"
+ML_BSSN_O2::ML_trace_curv_bound = "none"
+ML_BSSN_O2::ML_curv_bound = "none"
+ML_BSSN_O2::ML_lapse_bound = "none"
+ML_BSSN_O2::ML_dtlapse_bound = "none"
+ML_BSSN_O2::ML_shift_bound = "none"
+ML_BSSN_O2::ML_dtshift_bound = "none"
+
+ActiveThorns = "Time"
+Time::dtfac = 0.25
+
+ActiveThorns = "NoExcision SphericalSurface"
+NoExcision::num_regions = 1
+NoExcision::radius[0] = 1.01
+
+ActiveThorns = "CarpetIOASCII"
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "ML_BSSN_O2::phi"
+
+IOASCII::out1D_xline_yi = 15
+IOASCII::out1D_xline_zi = 3
+IOASCII::out1D_yline_xi = 3
+IOASCII::out1D_yline_zi = 3
+IOASCII::out1D_zline_xi = 3
+IOASCII::out1D_zline_yi = 15
+IOASCII::out1D_d = no
+
+ActiveThorns = "CarpetIOHDF5"
+IOHDF5::checkpoint = yes
+IO::checkpoint_dir = $parfile
+IO::checkpoint_every = 0
+IO::checkpoint_keep = -1
+IO::recover = "manual"
+IO::recover_dir = "../../../arrangements/EinsteinAnalysis/AHFinderDirect/test/checkpointML"
+IO::recover_file = "checkpoint.chkpt.it_1"
+
+########################################
+
+ActiveThorns = "SphericalSurface"
+
+ActiveThorns = "LocalInterp AEILocalInterp CarpetInterp GSL LoopControl CarpetReduce AHFinderDirect"
+
+AHFinderDirect::print_timing_stats = "true"
+
+AHFinderDirect::h_base_file_name = "h"
+AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics"
+AHFinderDirect::output_OpenDX_control_files = "no"
+AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
+
+AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation"
+AHFinderDirect::geometry_interpolator_pars = "order=4"
+
+AHFinderDirect::N_horizons = 1
+AHFinderDirect::origin_x[1] = 0.5
+AHFinderDirect::origin_y[1] = 0.7
+AHFinderDirect::origin_z[1] = 0.0
+
+AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
+AHFinderDirect::initial_guess__coord_sphere__x_center[1] = -0.2
+AHFinderDirect::initial_guess__coord_sphere__y_center[1] = 0.3
+AHFinderDirect::initial_guess__coord_sphere__z_center[1] = 0.0
+AHFinderDirect::initial_guess__coord_sphere__radius[1] = 2.0
diff --git a/test/recoverML/BH_diagnostics.ah1.gp b/test/recoverML/BH_diagnostics.ah1.gp
new file mode 100644
index 0000000..bff2f70
--- /dev/null
+++ b/test/recoverML/BH_diagnostics.ah1.gp
@@ -0,0 +1,43 @@
+# apparent horizon 1/1
+#
+# column 1 = cctk_iteration
+# column 2 = cctk_time
+# column 3 = centroid_x
+# column 4 = centroid_y
+# column 5 = centroid_z
+# column 6 = min radius
+# column 7 = max radius
+# column 8 = mean radius
+# column 9 = quadrupole_xx
+# column 10 = quadrupole_xy
+# column 11 = quadrupole_xz
+# column 12 = quadrupole_yy
+# column 13 = quadrupole_yz
+# column 14 = quadrupole_zz
+# column 15 = min x
+# column 16 = max x
+# column 17 = min y
+# column 18 = max y
+# column 19 = min z
+# column 20 = max z
+# column 21 = xy-plane circumference
+# column 22 = xz-plane circumference
+# column 23 = yz-plane circumference
+# column 24 = ratio of xz/xy-plane circumferences
+# column 25 = ratio of yz/xy-plane circumferences
+# column 26 = area
+# column 27 = m_irreducible
+# column 28 = areal radius
+# column 29 = expansion Theta_(l)
+# column 30 = inner expansion Theta_(n)
+# column 31 = product of the expansions
+# column 32 = mean curvature
+# column 33 = gradient of the areal radius
+# column 34 = gradient of the expansion Theta_(l)
+# column 35 = gradient of the inner expansion Theta_(n)
+# column 36 = gradient of the product of the expansions
+# column 37 = gradient of the mean curvature
+# column 38 = minimum of the mean curvature
+# column 39 = maximum of the mean curvature
+# column 40 = integral of the mean curvature
+2 0.100 0.000025 -0.000013 0.000000 1.036220227 2.756604286 1.995758679 1.198843913 6.713718201e-06 0.000000000 1.198865374 0.000000000 1.078924956 -1.895525243 1.895843709 -1.896024064 1.895591501 -1.798534374 1.798534374 12.56769037 10.83703425 11.22790773 0.8622932236 0.8933946811 45.23884092 0.9486823198 1.897364640 6.230520114e-16 -1.468391054 -8.852912327e-16 0.7341955270 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7064699811 0.7472059838 33.14697223
diff --git a/test/recoverML/h.t2.ah1.gp b/test/recoverML/h.t2.ah1.gp
new file mode 100644
index 0000000..bf82893
--- /dev/null
+++ b/test/recoverML/h.t2.ah1.gp
@@ -0,0 +1,1228 @@
+# N_patches = 5
+# origin = 0.5 0.7 0
+
+### +z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -45 2.45714467550453 -0.9186331398 -0.7186331398 1.418633140
+-40 -45 2.43478747214730 -0.7424077817 -0.7806439373 1.480643937
+-35 -45 2.40909508157848 -0.5689458574 -0.8266128956 1.526612896
+-30 -45 2.38087235776951 -0.3998851660 -0.8586468285 1.558646829
+-25 -45 2.35069101064597 -0.2361085775 -0.8785899388 1.578589939
+-20 -45 2.31893726351434 -0.07798020069 -0.8879875503 1.587987550
+-15 -45 2.28585285476974 0.07447297495 -0.8880884775 1.588088477
+-10 -45 2.25156681213922 0.2214270797 -0.8798655382 1.579865538
+-5 -45 2.21612224235185 0.3631637916 -0.8640450194 1.564045019
+0 -45 2.17949468287513 0.5000000000 -0.8411354698 1.541135470
+5 -45 2.14160602657117 0.6322351462 -0.8114546370 1.511454637
+10 -45 2.10234035278370 0.7601100213 -0.7751572350 1.475157235
+15 -45 2.06154778917881 0.8837711145 -0.7322532979 1.432253298
+20 -45 2.01905479083745 1.003236423 -0.6826307083 1.382630708
+25 -45 1.97467223898553 1.118359949 -0.6260771895 1.326077190
+30 -45 1.92820920666634 1.228794577 -0.5623092350 1.262309235
+35 -45 1.87948813646255 1.333952580 -0.4910077141 1.191007714
+40 -45 1.82837156393733 1.432969750 -0.4118700512 1.111870051
+45 -45 1.77479113421222 1.524676139 -0.3246761391 1.024676139
+
+-45 -40 2.40916551708244 -0.9650627037 -0.5293335743 1.465062704
+-40 -40 2.38522701221546 -0.7897308935 -0.5897308935 1.537041426
+-35 -40 2.35781208261793 -0.6145002561 -0.6355708170 1.591671319
+-30 -40 2.32770813624210 -0.4415154526 -0.6683639053 1.630752600
+-25 -40 2.29550308472132 -0.2721945433 -0.6895293057 1.655976542
+-20 -40 2.26162131768096 -0.1074113439 -0.7003305398 1.668848952
+-15 -40 2.22634668283285 0.05235078153 -0.7018414861 1.670649627
+-10 -40 2.18985937550495 0.2068682862 -0.6949465472 1.662432559
+-5 -40 2.15226189393757 0.3560778337 -0.6803506856 1.645037889
+0 -40 2.11358706381020 0.5000000000 -0.6585875766 1.619101625
+5 -40 2.07381749267752 0.6386765741 -0.6300404592 1.585080496
+10 -40 2.03290528088967 0.7721220438 -0.5949663499 1.543280800
+15 -40 1.99077588368347 0.9002832422 -0.5535119731 1.493877397
+20 -40 1.94734264619312 1.023004450 -0.5057382717 1.436942917
+25 -40 1.90251641551851 1.139996001 -0.4516439823 1.372475853
+30 -40 1.85622053506711 1.250807324 -0.3911957306 1.300436432
+35 -40 1.80840567814520 1.354804590 -0.3243623174 1.220787472
+40 -40 1.75907309291160 1.451159324 -0.2511593237 1.133547541
+45 -40 1.70829660316243 1.538850018 -0.1716986667 1.038850018
+
+-45 -35 2.35996178818068 -0.9954777528 -0.3471447958 1.495477753
+-40 -35 2.33391335212332 -0.8220335011 -0.4032037065 1.575538174
+-35 -35 2.30439748305349 -0.6465364041 -0.4465364041 1.637423680
+-30 -35 2.27217543957385 -0.4714346552 -0.4781511238 1.682574179
+-25 -35 2.23783520838702 -0.2985288484 -0.4990708480 1.712450642
+-20 -35 2.20182988465719 -0.1291030977 -0.5102713076 1.728446556
+-15 -35 2.16448640819684 0.03596081484 -0.5126318894 1.731817816
+-10 -35 2.12603405297137 0.1960725831 -0.5069183488 1.723658034
+-5 -35 2.08662478737592 0.3508414233 -0.4937770628 1.704890333
+0 -35 2.04634803133899 0.5000000000 -0.4737370113 1.676270173
+5 -35 2.00524595577702 0.6433413589 -0.4472194914 1.638399230
+10 -35 1.96333865496801 0.7806692796 -0.4145585577 1.591754583
+15 -35 1.92062128641482 0.9117575113 -0.3760088908 1.536699953
+20 -35 1.87708228998931 1.036316766 -0.3317685546 1.473518205
+25 -35 1.83271487044962 1.153969376 -0.2820003571 1.402441853
+30 -35 1.78752954392539 1.264231545 -0.2268562208 1.323687864
+35 -35 1.74156560146699 1.366503447 -0.1665034469 1.237495171
+40 -35 1.69490868355667 1.460072515 -0.1011563669 1.144169868
+45 -35 1.64770411727279 1.544129131 -0.03110708825 1.044129131
+
+-45 -30 2.31022496516758 -1.012397254 -0.1731829615 1.512397254
+-40 -30 2.28163410205510 -0.8412788750 -0.2228793468 1.598473918
+-35 -30 2.24970090216795 -0.6664977977 -0.2618260026 1.665931505
+-30 -30 2.21515880977434 -0.4906491359 -0.2906491359 1.715854636
+-25 -30 2.17860193911468 -0.3157852995 -0.3100495971 1.749457220
+-20 -30 2.14050333088300 -0.1434921926 -0.3207438841 1.767980269
+-15 -30 2.10122815405951 0.02502867118 -0.3234209779 1.772617131
+-10 -30 2.06104997371398 0.1888767028 -0.3187160164 1.764467899
+-5 -30 2.02016863279249 0.3473745263 -0.3071974446 1.744517147
+0 -30 1.97872486102570 0.5000000000 -0.2893624305 1.713625997
+5 -30 1.93681689695230 0.6463281785 -0.2656406884 1.672538734
+10 -30 1.89451923424517 0.7859848515 -0.2364047994 1.621900689
+15 -30 1.85188503672026 0.9186086575 -0.2019762997 1.562268778
+20 -30 1.80896164623100 1.043821950 -0.1626412817 1.494138529
+25 -30 1.76580131319363 1.161210626 -0.1186658026 1.417970764
+30 -30 1.72246736554697 1.270310824 -0.07031082368 1.334217484
+35 -30 1.67904759846153 1.370606988 -0.01785171010 1.243355634
+40 -30 1.63566458920674 1.461539959 0.03840353002 1.145918700
+45 -30 1.59248175331773 1.542524025 0.09809847333 1.042524025
+
+-45 -25 2.26038164773462 -1.017943324 -0.007828596728 1.517943324
+-40 -25 2.22892787715677 -0.8492295550 -0.04979901164 1.607949169
+-35 -25 2.19435179514531 -0.6757716824 -0.08301262099 1.679175985
+-30 -25 2.15735956452990 -0.5002011473 -0.1078310162 1.732399205
+-25 -25 2.11855671844161 -0.3247151928 -0.1247151928 1.768607438
+-20 -25 2.07843735083336 -0.1511023262 -0.1341726118 1.788888939
+-15 -25 2.03739876277414 0.01920308554 -0.1367231160 1.794358513
+-10 -25 1.99575278437456 0.1850618139 -0.1328736047 1.786103209
+-5 -25 1.95374295328444 0.3455691893 -0.1231040089 1.765152243
+0 -25 1.91155457303879 0.5000000000 -0.1078578709 1.732456795
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+-40 45 1.50070217902591 -0.2657687115 1.612607613 0.9126076130
+-35 45 1.45495766421553 -0.1455830572 1.621988156 0.9219881563
+-30 45 1.41413135118047 -0.03449141091 1.625766280 0.9257662799
+-25 45 1.37758408877443 0.06861558604 1.625106861 0.9251068611
+-20 45 1.34474511886385 0.1648309267 1.620869461 0.9208694606
+-15 45 1.31511940943262 0.2551815950 1.613674726 0.9136747259
+-10 45 1.28828814236520 0.3406077990 1.603958092 0.9039580920
+-5 45 1.26390353168652 0.4219592837 1.592009469 0.8920094686
+0 45 1.24168303112346 0.5000000000 1.578002491 0.8780024914
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+35 45 1.13508297871308 1.003650627 1.419287639 0.7192876388
+40 45 1.12690272835883 1.075028718 1.385292541 0.6852925406
+45 45 1.12100440353059 1.147212194 1.347212194 0.6472121941
+
+
+### +x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = dsigma = dphi
+#
+# dpx dpy gridfn global_x global_y global_z
+45 -45 1.77479137626204 1.524676279 -0.3246762788 1.024676279
+45 -40 1.70829682104711 1.538850150 -0.1716987779 1.038850150
+45 -35 1.64770423563397 1.544129206 -0.03110714077 1.044129206
+45 -30 1.59248189855382 1.542524120 0.09809841844 1.042524120
+45 -25 1.54205521216877 1.535556282 0.2171121753 1.035556282
+45 -20 1.49586328023279 1.524353829 0.3271656968 1.024353829
+45 -15 1.45338410176016 1.509733650 0.4294426840 1.009733650
+45 -10 1.41415176522595 1.492273304 0.5250354443 0.9922733039
+45 -5 1.37775753402291 1.472362791 0.6149292789 0.9723627911
+45 0 1.34385407258986 1.450248328 0.7000000000 0.9502483277
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+45 20 1.22814183030452 1.341020569 1.006106453 0.8410205689
+45 25 1.20341230546019 1.308143031 1.076843284 0.8081430307
+45 30 1.18024562896590 1.272652133 1.146090917 0.7726521333
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+45 40 1.13887474969952 1.192572971 1.281137725 0.6925729711
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+50 -45 1.78863733913608 1.587706858 -0.3877068584 0.9126944237
+50 -40 1.71879476362195 1.607592167 -0.2293801784 0.9293801784
+50 -35 1.65441127564929 1.616831573 -0.08201388655 0.9371329613
+50 -30 1.59520736000497 1.617575056 0.05476774075 0.9377568170
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+55 -45 1.80060881800910 1.641022894 -0.4410228938 0.7989528315
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+55 -20 1.48663096898088 1.667012127 0.2752423226 0.8171506887
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+60 -45 1.81075215929748 1.685415548 -0.4854155478 0.6843999856
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+65 -45 1.81914459884094 1.721633702 -0.5216337017 0.5696571506
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+70 -45 1.82586908471527 1.750338860 -0.5503388602 0.4550861279
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+75 -45 1.83100583327638 1.772085060 -0.5720850601 0.3408541645
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+80 -45 1.83462293096025 1.787306923 -0.5873069227 0.2269869429
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+85 -45 1.83677246687841 1.796316049 -0.5963160486 0.1134129586
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+90 -45 1.83748440368034 1.799297682 -0.5992976822 0.000000000
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+90 -15 1.41508826518495 1.866870302 0.3337482065 0.000000000
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+90 -5 1.30864135649585 1.803661581 0.5859443906 0.000000000
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+90 5 1.22107859249391 1.716432020 0.8064240117 0.000000000
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+90 20 1.12361679798254 1.555854414 1.084299578 0.000000000
+90 25 1.09962365387855 1.496597480 1.164721037 0.000000000
+90 30 1.07964303834797 1.434998298 1.239821519 0.000000000
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+90 45 1.04261268296234 1.237238498 1.437238498 0.000000000
+
+
+### +y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 - dsigma = 90 - dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+45 45 1.12100444882590 1.147212220 1.347212220 0.6472122203
+40 45 1.12690280604126 1.075028758 1.385292588 0.6852925879
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+15 45 1.18606747607352 0.7207945116 1.524016335 0.8240163352
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+5 45 1.22140532411593 0.5754166311 1.562016037 0.8620160374
+0 45 1.24168304270882 0.5000000000 1.578002500 0.8780024996
+-5 45 1.26390354975766 0.4219592826 1.592009481 0.8920094813
+-10 45 1.28828816802745 0.3406077958 1.603958110 0.9039581100
+-15 45 1.31511945066716 0.2551815874 1.613674755 0.9136747546
+-20 45 1.34474517924155 0.1648309116 1.620869502 0.9208695020
+-25 45 1.37758417745257 0.06861555827 1.625106921 0.9251069207
+-30 45 1.41413147347671 -0.03449145714 1.625766360 0.9257663600
+-35 45 1.45495785332458 -0.1455831411 1.621988276 0.9219882762
+-40 45 1.50070245563511 -0.2657688526 1.612607781 0.9126077812
+-45 45 1.55204795767159 -0.3960753062 1.596075306 0.8960753062
+
+45 50 1.10162199429910 1.169918810 1.369918810 0.5621286268
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+35 50 1.11182476893536 1.025541878 1.450551585 0.6297875585
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+15 50 1.15995932753404 0.7332318189 1.570432998 0.7303800078
+10 50 1.17709904876761 0.6575649402 1.593595180 0.7498153864
+5 50 1.19629591648380 0.5799965378 1.614364611 0.7672430075
+0 50 1.21765505703877 0.5000000000 1.632777890 0.7826935835
+-5 50 1.24133707261986 0.4169915515 1.648790908 0.7961301011
+-10 50 1.26755640298451 0.3303265566 1.662265915 0.8074369740
+-15 50 1.29658569559263 0.2392968589 1.672957368 0.8164081688
+-20 50 1.32875640914414 0.1431313634 1.680488521 0.8227275562
+-25 50 1.36445947567903 0.04100337801 1.684321432 0.8259437509
+-30 50 1.40414385112397 -0.06795055745 1.683719222 0.8254384361
+-35 50 1.44830594854885 -0.1845911778 1.677697526 0.8203856335
+-40 50 1.49747399911077 -0.3097084550 1.664972960 0.8097084550
+-45 50 1.55216973286796 -0.4439060826 1.643906083 0.7920312457
+
+45 55 1.08590142462090 1.188121914 1.388121914 0.4818281513
+40 55 1.08768375142748 1.116113000 1.434254882 0.5141308031
+35 55 1.09243633127869 1.043533844 1.476246776 0.5435338444
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+
+
+### -x patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = drho = dnu
+# dpy = 180 - dsigma = 180 - dphi
+#
+# dpx dpy gridfn global_x global_y global_z
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+-65 20 1.89529185202339 -1.131257555 1.293729194 0.7606678901
+-65 15 1.96622478243139 -1.231674840 1.164000875 0.8074932393
+-65 10 2.03693598277623 -1.322960200 1.021437068 0.8500603020
+-65 5 2.10698085167194 -1.403598409 0.8665432807 0.8876625161
+-65 -2.84217e-14 2.17591081169917 -1.472044913 0.7000000000 0.9195796449
+-65 -5 2.24326783987538 -1.526729900 0.5226841097 0.9450796734
+-65 -10 2.30856707396740 -1.566057025 0.3356984029 0.9634182127
+-65 -15 2.37128557846706 -1.588416142 0.1404105813 0.9738444405
+-65 -20 2.43085771204839 -1.592213398 -0.06150340076 0.9756151302
+-65 -25 2.48666235113568 -1.575908326 -0.2680119500 0.9680119500
+-65 -30 2.53801529579281 -1.538072722 -0.4766818348 0.9503689182
+-65 -35 2.58416700066423 -1.477472882 -0.6846414183 0.9221107485
+-65 -40 2.62430916918918 -1.393177340 -0.8885644075 0.8828030918
+-65 -45 2.65757921853793 -1.284678546 -1.084678546 0.8322092735
+
+-60 45 1.55291627671462 -0.5166223409 1.716622341 0.5869471822
+-60 40 1.61590634335728 -0.6320764102 1.649924898 0.6536046202
+-60 35 1.68035450016599 -0.7443234112 1.571284632 0.7184104564
+-60 30 1.74582846369676 -0.8523129130 1.480758224 0.7807582244
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+-60 20 1.87833669488067 -1.051439872 1.264677934 0.8957242280
+-60 15 1.94470810348776 -1.140575248 1.139590813 0.9471865610
+-60 10 2.01076553829568 -1.221419320 1.003532671 0.9938619078
+-60 5 2.07623316448325 -1.292931688 0.8568611972 1.035149593
+-60 -2.84217e-14 2.14084165263155 -1.354023257 0.7000000000 1.070420826
+-60 -5 2.20431112551005 -1.403533445 0.5334624029 1.099005547
+-60 -10 2.26632983323809 -1.440208287 0.3578889308 1.120179777
+-60 -15 2.32653903504767 -1.462691649 0.1740983577 1.133160552
+-60 -20 2.38452022461337 -1.469529618 -0.01685015645 1.137108455
+-60 -25 2.43977451531879 -1.459183578 -0.2135823061 1.131135166
+-60 -30 2.49170534841278 -1.430066664 -0.4143245078 1.114324508
+-60 -35 2.53960588600375 -1.380609752 -0.6168171245 1.085770546
+-60 -40 2.58264913938935 -1.309359917 -0.8182332387 1.044634435
+-60 -45 2.61988687290002 -1.215118558 -1.015118558 0.9902241613
+
+-55 45 1.55249494776162 -0.4837962917 1.683796292 0.6888615795
+-55 40 1.61294875948155 -0.5888417694 1.613646727 0.7624152149
+-55 35 1.67415253237559 -0.6895938183 1.532962559 0.8329625590
+-55 30 1.73574928707443 -0.7853439400 1.442093670 0.9000075160
+-55 25 1.79746104105033 -0.8754646908 1.341389719 0.9631107450
+-55 20 1.85906773350245 -0.9593766952 1.231169678 1.021866563
+-55 15 1.92040092265282 -1.036523638 1.111710268 1.075885434
+-55 10 1.98133213852902 -1.106342596 0.9832415399 1.124773194
+-55 5 2.04175056746987 -1.168225560 0.8459508247 1.168104113
+-55 -2.84217e-14 2.10155069213524 -1.221489546 0.7000000000 1.205399957
+-55 -5 2.16061962338996 -1.265348294 0.5455520371 1.236110183
+-55 -10 2.21881414221282 -1.298878441 0.3828091958 1.259588245
+-55 -15 2.27594470219270 -1.320996227 0.2120655315 1.275075285
+-55 -20 2.33175580431560 -1.330438998 0.03377468900 1.281687185
+-55 -25 2.38589831079170 -1.325752440 -0.1513623449 1.278405622
+-55 -30 2.43790782625967 -1.305301073 -0.3422910606 1.264085420
+-55 -35 2.48717797950094 -1.267301063 -0.5374775263 1.237477526
+-55 -40 2.53292895538386 -1.209886213 -0.7347648904 1.197275216
+-55 -45 2.57419403924303 -1.131234004 -0.9312340041 1.142202346
+
+-50 45 1.55216925386833 -0.4439057913 1.643905791 0.7920310013
+-50 40 1.60967134481040 -0.5372729833 1.570375378 0.8703753777
+-50 35 1.66719313203475 -0.6254601296 1.488055667 0.9443731796
+-50 30 1.72448677189524 -0.7081460056 1.397523422 1.013754868
+-50 25 1.78139477401504 -0.7850986686 1.299251351 1.078325819
+-50 20 1.83783759703309 -0.8561392100 1.193594306 1.137935911
+-50 15 1.89378767860406 -0.9210974885 1.080781924 1.192442378
+-50 10 1.94925661663354 -0.9797788852 0.9609249429 1.241681917
+-50 5 2.00427784513098 -1.031929271 0.8340264445 1.285441286
+-50 -2.84217e-14 2.05889146899222 -1.077202369 0.7000000000 1.323429926
+-50 -5 2.11313082410058 -1.115128846 0.5586945358 1.355254019
+-50 -10 2.16700551578175 -1.145083043 0.4099274740 1.380388575
+-50 -15 2.22048500165584 -1.166251024 0.2535293837 1.398150620
+-50 -20 2.27347856729786 -1.177598409 0.08940411420 1.407672206
+-50 -25 2.32580884830276 -1.177839128 -0.08238923457 1.407874194
+-50 -30 2.37718232429473 -1.165413372 -0.2615268586 1.397447746
+-50 -35 2.42715306603626 -1.138480840 -0.4472766357 1.374848669
+-50 -40 2.47507757583628 -1.094941172 -0.6383145491 1.338314549
+-50 -45 2.52006700984283 -1.032504164 -0.8325041641 1.285923679
+
+-45 45 1.55204762022125 -0.3960751113 1.596075111 0.8960751113
+-45 40 1.60617407020267 -0.4767472219 1.519588234 0.9767472219
+-45 35 1.65960567517855 -0.5516709966 1.436387960 1.051670997
+-45 30 1.71222640429727 -0.6209153007 1.347160751 1.120915301
+-45 25 1.76401870885772 -0.6846142998 1.252394720 1.184614300
+-45 20 1.81503285614124 -0.7429183076 1.152385268 1.242918308
+-45 15 1.86537017928997 -0.7959595723 1.047251321 1.295959572
+-45 10 1.91516286710776 -0.8438196892 0.9369516684 1.343819689
+-45 5 1.96455976987209 -0.8865029034 0.8213032860 1.386502903
+-45 -2.84217e-14 2.01371552358112 -0.9239119021 0.7000000000 1.423911902
+-45 -5 2.06278279898712 -0.9558245484 0.5726318559 1.455824548
+-45 -10 2.11189774640418 -0.9818634081 0.4387074994 1.481863408
+-45 -15 2.16117015702695 -1.001465598 0.2976835055 1.501465598
+-45 -20 2.21066482103307 -1.013843548 0.1490060093 1.513843548
+-45 -25 2.26038163645420 -1.017943317 -0.007828593195 1.517943317
+-45 -30 2.31022479069061 -1.012397139 -0.1731828955 1.512397139
+-45 -35 2.35996141432497 -0.9954775159 -0.3471446299 1.495477516
+-45 -40 2.40916501510802 -0.9650623985 -0.5293333182 1.465062398
+-45 -45 2.45714412829096 -0.9186328239 -0.7186328239 1.418632824
+
+
+### -y patch
+# N_rho = 10
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = 90 + dsigma = 90 + dphi
+# dpy = drho = dmu
+#
+# dpx dpy gridfn global_x global_y global_z
+-45 -90 2.73963886096990 -1.437217217 -1.237217217 2.372406864e-16
+-40 -90 2.75285029863709 -1.269498063 -1.408805674 2.582542119e-16
+-35 -90 2.75660428550331 -1.081123263 -1.558078036 2.765348039e-16
+-30 -90 2.75084904614550 -0.8754245231 -1.682305156 2.917482384e-16
+-25 -90 2.73565886814800 -0.6561393956 -1.779348935 3.036326737e-16
+-20 -90 2.71122324590944 -0.4272929632 -1.847716477 3.120052829e-16
+-15 -90 2.67787752385166 -0.1930857036 -1.886631060 3.167709448e-16
+-10 -90 2.63607191963022 0.04225091496 -1.896024064 3.179212560e-16
+-5 -90 2.58635033380137 0.2745847157 -1.876508490 3.155312875e-16
+-2.84217e-14 -90 2.52938154499296 0.5000000000 -1.829381545 3.097599013e-16
+5 -90 2.46592614527158 0.7149196248 -1.756542552 3.008396973e-16
+10 -90 2.39684544042719 0.9162078429 -1.660431973 2.890695460e-16
+15 -90 2.32306635003464 1.101253814 -1.543909784 2.747996934e-16
+20 -90 2.24557071267512 1.268030417 -1.410146228 2.584183824e-16
+25 -90 2.16536498848296 1.415122787 -1.262487151 2.403353608e-16
+30 -90 2.08346472234044 1.541732361 -1.104333377 2.209671095e-16
+35 -90 2.00088123336336 1.647658327 -0.9390259527 2.007227887e-16
+40 -90 1.91858548690073 1.733242979 -0.7697217509 1.799890038e-16
+45 -90 1.83748439949538 1.799297679 -0.5992976792 1.591180744e-16
+
+-45 -85 2.73645785806338 -1.431275812 -1.231275812 0.1689647397
+-40 -85 2.74907497993568 -1.263116071 -1.401199911 0.1838311720
+-35 -85 2.75227620785757 -1.074602309 -1.548765148 0.1967414574
+-30 -85 2.74604062886489 -0.8690961533 -1.671344098 0.2074657259
+-25 -85 2.73046537380700 -0.6503340251 -1.766899278 0.2158257209
+-20 -85 2.70576513697930 -0.4223145191 -1.834038315 0.2216996255
+-15 -85 2.67228747486981 -0.1891823631 -1.872063595 0.2250264064
+-10 -85 2.63048745867893 0.04490670696 -1.880962319 0.2258049439
+-5 -85 2.58091769244753 0.2759077077 -1.861386621 0.2240922923
+-2.84217e-14 -85 2.52423055064668 0.5000000000 -1.814625091 0.2200011885
+5 -85 2.46116956748436 0.7136949705 -1.742544689 0.2136949705
+10 -85 2.39257159855594 0.9139321341 -1.647525787 0.2053818937
+15 -85 2.31933806533441 1.098156787 -1.532351518 0.1953054508
+20 -85 2.24241899569824 1.264373659 -1.400099367 0.1837348869
+25 -85 2.16279156059593 1.411175342 -1.254021827 0.1709547582
+30 -85 2.08144454717711 1.537747837 -1.097431979 0.1572549216
+35 -85 1.99936648362101 1.643855792 -0.9335953690 0.1429210756
+40 -85 1.91750987184222 1.729792747 -0.7656099241 0.1282242535
+45 -85 1.83677246065054 1.796316044 -0.5963160442 0.1134129582
+
+-45 -80 2.72686203330368 -1.413367763 -1.213367763 0.3373783606
+-40 -80 2.73771637390605 -1.243932987 -1.378338403 0.3664671355
+-35 -80 2.73928667340882 -1.055052867 -1.520845652 0.3915950084
+-30 -80 2.73163952339947 -0.8501685883 -1.638560594 0.4123513287
+-25 -80 2.71494596300129 -0.6330094832 -1.729746678 0.4284298956
+-20 -80 2.68948531680328 -0.4074853469 -1.793295499 0.4396352674
+-15 -80 2.65564131791041 -0.1775731203 -1.828737311 0.4458846150
+-10 -80 2.61388765001986 0.05279553020 -1.836222579 0.4472044698
+-5 -80 2.56477463074211 0.2798359427 -1.816486690 0.4437245001
+-2.84217e-14 -80 2.50892439480916 0.5000000000 -1.770808196 0.4356701491
+5 -80 2.44703067289790 0.7100567414 -1.700959541 0.4233539466
+10 -80 2.37985961912795 0.9071651125 -1.609148100 0.4071651125
+15 -80 2.30823464183430 1.088934107 -1.497932010 0.3875547152
+20 -80 2.23301899429411 1.253464614 -1.370127014 0.3650192461
+25 -80 2.15510222773888 1.399373798 -1.228713333 0.3400841987
+30 -80 2.07539532884733 1.525806501 -1.076748978 0.3132887828
+35 -80 1.99481854572626 1.632429230 -0.9172765475 0.2851694906
+40 -80 1.91427178721025 1.719396483 -0.7532201389 0.2562419194
+45 -80 1.83462291672750 1.787306913 -0.5873069127 0.2269869412
+
+-45 -75 2.71069725011403 -1.383247673 -1.183247673 0.5046146930
+-40 -75 2.71868137431336 -1.211844955 -1.340097376 0.5466424443
+-35 -75 2.71762741710831 -1.022523614 -1.474389065 0.5826257940
+-30 -75 2.70773391726600 -0.8188247493 -1.584271472 0.6120686962
+-25 -75 2.68929138150908 -0.6044437180 -1.668487197 0.6346342316
+-20 -75 2.66267011988694 -0.3831228066 -1.726359970 0.6501411945
+-15 -75 2.62830598007585 -0.1585557242 -1.757763423 0.6585557242
+-10 -75 2.58669134096371 0.06569214943 -1.763082217 0.6599808909
+-5 -75 2.53836169424182 0.2862511367 -1.743160687 0.6546429332
+-2.84217e-14 -75 2.48388959350679 0.5000000000 -1.699253108 0.6428779327
+5 -75 2.42389343099983 0.7041097874 -1.632985545 0.6251215928
+10 -75 2.35903233626836 0.8960836947 -1.546302257 0.6018948757
+15 -75 2.29000306756402 1.073789597 -1.441411928 0.5737895968
+20 -75 2.21753794119064 1.235486651 -1.320732967 0.5414537667
+25 -75 2.14239284056876 1.379842300 -1.186827901 0.5055740124
+30 -75 2.06535538045598 1.505948840 -1.042354500 0.4668624812
+35 -75 1.98723568195370 1.613328941 -0.8899985073 0.4260388160
+40 -75 1.90884809599906 1.701925321 -0.7323988194 0.3838101069
+45 -75 1.83100578140566 1.772085024 -0.5720850240 0.3408541549
+
+-45 -70 2.68771481298330 -1.340523126 -1.140523126 0.6698956334
+-40 -70 2.69182703888361 -1.166701486 -1.286297483 0.7229531604
+-35 -70 2.68729363578533 -0.9771142880 -1.409537826 0.7678089768
+-30 -70 2.67448301430801 -0.7753832898 -1.509028657 0.8040206778
+-25 -70 2.65382876718038 -0.5651036815 -1.584122216 0.8313524980
+-20 -70 2.62579534127697 -0.3497482748 -1.634664197 0.8497482748
+-15 -70 2.59087396308165 -0.1326108069 -1.660935673 0.8593103099
+-10 -70 2.54956644603045 0.08323649540 -1.663583287 0.8602739626
+-5 -70 2.50237696665139 0.2949651916 -1.643558583 0.8529855666
+-2.84217e-14 -70 2.44980952437008 0.5000000000 -1.602067932 0.8378842046
+5 -70 2.39237650188166 0.6960218081 -1.540539519 0.8154896937
+10 -70 2.33060517221817 0.8809711180 -1.460594575 0.7863921138
+15 -70 2.26504193379405 1.053052764 -1.364021013 0.7512422116
+20 -70 2.19625195673574 1.210741344 -1.252745795 0.7107413445
+25 -70 2.12482771917705 1.352791203 -1.128816636 0.6656348194
+30 -70 2.05139633900778 1.478251347 -0.9943810357 0.6167042625
+35 -70 1.97662176237036 1.586482031 -0.8516571469 0.5647570153
+40 -70 1.90120247245552 1.677169610 -0.7028961118 0.5106124265
+45 -70 1.82586895295919 1.750338770 -0.5503387700 0.4550860950
+
+-45 -65 2.65757928357065 -1.284678590 -1.084678590 0.8322092939
+-40 -65 2.65697813461190 -1.108339805 -1.216744740 0.8937927511
+-35 -65 2.64831115969164 -0.9190109692 -1.326557687 0.9449993693
+-30 -65 2.63213905913388 -0.7203197603 -1.413655826 0.9856138985
+-25 -65 2.60902490995627 -0.5156454452 -1.478058686 1.015645445
+-20 -65 2.57952169024183 -0.3080746683 -1.520166905 1.035280830
+-15 -65 2.54415637045924 -0.1003844486 -1.540665266 1.044839373
+-10 -65 2.50341575475286 0.1049504613 -1.540437267 1.044733055
+-5 -65 2.45775056014267 0.3057306306 -1.520509053 1.035440376
+-2.84217e-14 -65 2.40757773613929 0.5000000000 -1.482006450 1.017486318
+5 -65 2.35328868687493 0.6860123304 -1.426130665 0.9914310115
+10 -65 2.29526541445007 0.8622025393 -1.354152676 0.9578671238
+15 -65 2.23388769654265 1.027165487 -1.267408383 0.9174175956
+20 -65 2.16954302790768 1.179642575 -1.167302627 0.8707375150
+25 -65 2.10263850699040 1.318518526 -1.055318643 0.8185185256
+30 -65 2.03362179110680 1.442833491 -0.9330355087 0.7614969637
+35 -65 1.96298788605082 1.551802894 -0.8021302070 0.7004548191
+40 -65 1.89129207029337 1.644849586 -0.6643786077 0.6362201934
+45 -65 1.81914441279451 1.721633577 -0.5216335768 0.5696570923
+
+-45 -60 2.61988705839854 -1.215118680 -1.015118680 0.9902242314
+-40 -60 2.61395458901062 -1.036636425 -1.131291980 1.057296918
+-35 -60 2.60076718093943 -0.8485300139 -1.225900451 1.111919144
+-30 -60 2.58105530341681 -0.6542830224 -1.299276841 1.154283022
+-25 -60 2.55549173079399 -0.4569130319 -1.352106619 1.184784309
+-20 -60 2.52467763910115 -0.2589852004 -1.385294700 1.203945456
+-15 -60 2.48913618536202 -0.06265585405 -1.399860234 1.212354872
+-10 -60 2.44931274975515 0.1302669667 -1.396860230 1.210622818
+-5 -60 2.40558073714301 0.3182563111 -1.377339870 1.199352733
+-2.84217e-14 -60 2.35825211254202 0.5000000000 -1.342306238 1.179126056
+5 -60 2.30759131666078 0.6743405041 -1.292721081 1.150498052
+10 -60 2.25383361469046 0.8402247177 -1.229510256 1.114003266
+15 -60 2.19719386518369 0.9966638619 -1.153574767 1.070161891
+20 -60 2.13788273395762 1.142704372 -1.065815748 1.019494198
+25 -60 2.07612501357558 1.277412448 -0.9671663740 0.9625389548
+30 -60 2.01218232212468 1.399875291 -0.8586297246 0.8998752911
+35 -60 1.94636832690592 1.509216098 -0.7413099591 0.8321406929
+40 -60 1.87906955776123 1.604627732 -0.6164440676 0.7600493368
+45 -60 1.81075178334923 1.685415302 -0.4854153017 0.6843998435
+
+-45 -55 2.57419392431787 -1.131233931 -0.9312339312 1.142202295
+-40 -55 2.56260402114483 -0.9515741824 -1.029918747 1.211302147
+-35 -55 2.54482568171771 -0.7661597262 -1.108263489 1.266159726
+-30 -55 2.52171105981242 -0.5781198808 -1.167358410 1.307538435
+-25 -55 2.49398051560191 -0.3899294200 -1.208459800 1.336317938
+-20 -55 2.46222812693062 -0.2035036416 -1.232860370 1.353403401
+-15 -55 2.42693010068984 -0.02030387536 -1.241800498 1.359663347
+-10 -55 2.38845577919516 0.1585580582 -1.236413477 1.355891314
+-5 -55 2.34707836571472 0.3322233731 -1.217695620 1.342784929
+-2.84217e-14 -55 2.30299512528869 0.5000000000 -1.186503165 1.320943737
+5 -55 2.25634373284121 0.6612906267 -1.143560299 1.290874819
+10 -55 2.20722386026400 0.8155339142 -1.089481751 1.253008612
+15 -55 2.15570067901785 0.9621556332 -1.024788304 1.207709772
+20 -55 2.10182462051855 1.100529763 -0.9499419646 1.155301801
+25 -55 2.04565671865503 1.229953617 -0.8653905824 1.096098286
+30 -55 1.98728080624857 1.349632212 -0.7716061590 1.030429726
+35 -55 1.92682797680238 1.458679410 -0.6691360887 0.9586794101
+40 -55 1.86450306582277 1.556138401 -0.5586567337 0.8813209330
+45 -55 1.80060819967237 1.641022502 -0.4410225020 0.7989525572
+
+-45 -50 2.52006705080128 -1.032504189 -0.8325041890 1.285923700
+-40 -50 2.50285809258663 -0.8533359246 -0.9128429502 1.353335925
+-35 -50 2.48078230000376 -0.6726263213 -0.9746839434 1.405226679
+-30 -50 2.45472435153820 -0.4928911933 -1.019737993 1.443031516
+-25 -50 2.42537536396520 -0.3158828598 -1.049666439 1.468144464
+-20 -50 2.39325540774449 -0.1427647600 -1.065981664 1.481834563
+-15 -50 2.35874577441414 0.02572943350 -1.070001851 1.485207900
+-10 -50 2.32211188362457 0.1891651384 -1.062832100 1.479191765
+-5 -50 2.28350550155690 0.3473015484 -1.045351288 1.464523622
+-2.84217e-14 -50 2.24301081299194 0.5000000000 -1.018245969 1.441779559
+5 -50 2.20064978449266 0.6471578739 -0.9820221950 1.411384203
+10 -50 2.15640110774351 0.7886530338 -0.9370327026 1.373633537
+15 -50 2.11020799430749 0.9242973328 -0.8834992036 1.328713598
+20 -50 2.06199246845506 1.053796344 -0.8215429490 1.276726127
+25 -50 2.01167292429571 1.176715647 -0.7512213881 1.217719331
+30 -50 1.95917918953839 1.292452221 -0.6725675086 1.151720890
+35 -50 1.90447651338439 1.400215746 -0.5856413227 1.078781160
+40 -50 1.84758945978111 1.499021558 -0.4905875302 0.9990215575
+45 -50 1.78863671827564 1.587706481 -0.3877064809 0.9126941069
+
+-45 -45 2.45714384002048 -0.9186326575 -0.7186326575 1.418632657
+-40 -45 2.43478675091709 -0.7424074137 -0.7806434988 1.480643499
+-35 -45 2.40909457676917 -0.5689456334 -0.8266125757 1.526612576
+-30 -45 2.38087198889839 -0.3998850266 -0.8586465870 1.558646587
+-25 -45 2.35069101768389 -0.2361085797 -0.8785899435 1.578589944
+-20 -45 2.31893737626425 -0.07798022879 -0.8879876275 1.587987627
+-15 -45 2.28585272749365 0.07447299864 -0.8880883891 1.588088389
+-10 -45 2.25156680057788 0.2214270812 -0.8798655301 1.579865530
+-5 -45 2.21612216446239 0.3631637964 -0.8640449644 1.564044964
+-2.84217e-14 -45 2.17949446758753 0.5000000000 -0.8411353176 1.541135318
+5 -45 2.14160591392719 0.6322351392 -0.8114545575 1.511454557
+10 -45 2.10234025965637 0.7601100098 -0.7751571696 1.475157170
+15 -45 2.06154767394233 0.8837710931 -0.7322532178 1.432253218
+20 -45 2.01905459807624 1.003236375 -0.6826305763 1.382630576
+25 -45 1.97467195936677 1.118359861 -0.6260770018 1.326077002
+30 -45 1.92820875961195 1.228794408 -0.5623089424 1.262308942
+35 -45 1.87948764135632 1.333952360 -0.4910074004 1.191007400
+40 -45 1.82837102445224 1.432969475 -0.4118697231 1.111869723
+45 -45 1.77479080577650 1.524675949 -0.3246759495 1.024675949
+
+
diff --git a/test/recoverML/phi.x.asc b/test/recoverML/phi.x.asc
new file mode 100644
index 0000000..dff9fdd
--- /dev/null
+++ b/test/recoverML/phi.x.asc
@@ -0,0 +1,54 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400
+# parameter filename: "test/recoverML.par"
+#
+# phi x (phi)
+#
+# iteration 1
+# 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
+1 0 0 0 0 0 15 3 0.05 -0.6 0 0 0
+1 0 0 0 0 1 15 3 0.05 -0.4 0 0 0
+1 0 0 0 0 2 15 3 0.05 -0.2 0 0 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 4 15 3 0.05 0.2 0 0 0
+1 0 0 0 0 5 15 3 0.05 0.4 0 0 0
+1 0 0 0 0 6 15 3 0.05 0.6 0 0 0
+1 0 0 0 0 7 15 3 0.05 0.8 0 0 -5.55861217568079e-06
+1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306211
+1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469049
+1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964650638
+1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993777
+1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841719
+1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390393134
+1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185975121
+1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933121
+1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099652895
+1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620374
+1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045829
+
+
+# iteration 2
+# 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
+2 0 0 0 0 0 15 3 0.1 -0.6 0 0 -1.52551340518046e-05
+2 0 0 0 0 1 15 3 0.1 -0.4 0 0 -1.56463457918388e-11
+2 0 0 0 0 2 15 3 0.1 -0.2 0 0 0
+2 0 0 0 0 3 15 3 0.1 0 0 0 0
+2 0 0 0 0 4 15 3 0.1 0.2 0 0 0
+2 0 0 0 0 5 15 3 0.1 0.4 0 0 -1.56463457918388e-11
+2 0 0 0 0 6 15 3 0.1 0.6 0 0 -1.52551340518046e-05
+2 0 0 0 0 7 15 3 0.1 0.8 0 0 -0.00174909598240846
+2 0 0 0 0 8 15 3 0.1 1 0 0 0.00890513114312635
+2 0 0 0 0 9 15 3 0.1 1.2 0 0 0.10863048453816
+2 0 0 0 0 10 15 3 0.1 1.4 0 0 0.0792989776583366
+2 0 0 0 0 11 15 3 0.1 1.6 0 0 0.0712882364935142
+2 0 0 0 0 12 15 3 0.1 1.8 0 0 0.0649721907405685
+2 0 0 0 0 13 15 3 0.1 2 0 0 0.0598097813188086
+2 0 0 0 0 14 15 3 0.1 2.2 0 0 0.0554786954555103
+2 0 0 0 0 15 15 3 0.1 2.4 0 0 0.0516924553238066
+2 0 0 0 0 16 15 3 0.1 2.6 0 0 0.048247662178647
+2 0 0 0 0 17 15 3 0.1 2.8 0 0 0.045395702537648
+2 0 0 0 0 18 15 3 0.1 3 0 0 0.0429550477180108
+
+
diff --git a/test/recoverML/phi.y.asc b/test/recoverML/phi.y.asc
new file mode 100644
index 0000000..821de94
--- /dev/null
+++ b/test/recoverML/phi.y.asc
@@ -0,0 +1,78 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400
+# parameter filename: "test/recoverML.par"
+#
+# phi y (phi)
+#
+# iteration 1
+# 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
+1 0 0 0 0 3 0 3 0.05 0 -3 0 0.0431061011045822
+1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.0455714836620247
+1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653222
+1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783
+1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185978202
+1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390393163
+1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424165
+1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039991319
+1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964652108
+1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.100181376469625
+1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306342
+1 0 0 0 0 3 11 3 0.05 0 -0.8 0 -5.55861217568079e-06
+1 0 0 0 0 3 12 3 0.05 0 -0.6 0 0
+1 0 0 0 0 3 13 3 0.05 0 -0.4 0 0
+1 0 0 0 0 3 14 3 0.05 0 -0.2 0 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 3 16 3 0.05 0 0.2 0 0
+1 0 0 0 0 3 17 3 0.05 0 0.4 0 0
+1 0 0 0 0 3 18 3 0.05 0 0.6 0 0
+1 0 0 0 0 3 19 3 0.05 0 0.8 0 -5.55861217568079e-06
+1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306577
+1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376468984
+1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964650271
+1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039993438
+1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.0648908828419115
+1 0 0 0 0 3 25 3 0.05 0 2 0 0.059753039039337
+1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185977353
+1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289337347
+1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653856
+1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.045571483662046
+1 0 0 0 0 3 30 3 0.05 0 3 0 0.0431061011045644
+
+
+# iteration 2
+# 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
+2 0 0 0 0 3 0 3 0.1 0 -3 0 0.0429550477179955
+2 0 0 0 0 3 1 3 0.1 0 -2.8 0 0.0453957025376356
+2 0 0 0 0 3 2 3 0.1 0 -2.6 0 0.0482476621787588
+2 0 0 0 0 3 3 3 0.1 0 -2.4 0 0.0516924553242647
+2 0 0 0 0 3 4 3 0.1 0 -2.2 0 0.0554786954561003
+2 0 0 0 0 3 5 3 0.1 0 -2 0 0.0598097813189442
+2 0 0 0 0 3 6 3 0.1 0 -1.8 0 0.0649721907415125
+2 0 0 0 0 3 7 3 0.1 0 -1.6 0 0.0712882364933737
+2 0 0 0 0 3 8 3 0.1 0 -1.4 0 0.0792989776585853
+2 0 0 0 0 3 9 3 0.1 0 -1.2 0 0.108630484539074
+2 0 0 0 0 3 10 3 0.1 0 -1 0 0.00890513114316494
+2 0 0 0 0 3 11 3 0.1 0 -0.8 0 -0.00174909598240729
+2 0 0 0 0 3 12 3 0.1 0 -0.6 0 -1.5255134051804e-05
+2 0 0 0 0 3 13 3 0.1 0 -0.4 0 -1.56463457918393e-11
+2 0 0 0 0 3 14 3 0.1 0 -0.2 0 0
+2 0 0 0 0 3 15 3 0.1 0 0 0 0
+2 0 0 0 0 3 16 3 0.1 0 0.2 0 0
+2 0 0 0 0 3 17 3 0.1 0 0.4 0 -1.56463457918388e-11
+2 0 0 0 0 3 18 3 0.1 0 0.6 0 -1.52551340518037e-05
+2 0 0 0 0 3 19 3 0.1 0 0.8 0 -0.00174909598240545
+2 0 0 0 0 3 20 3 0.1 0 1 0 0.00890513114321143
+2 0 0 0 0 3 21 3 0.1 0 1.2 0 0.108630484538193
+2 0 0 0 0 3 22 3 0.1 0 1.4 0 0.0792989776584514
+2 0 0 0 0 3 23 3 0.1 0 1.6 0 0.0712882364934922
+2 0 0 0 0 3 24 3 0.1 0 1.8 0 0.0649721907408231
+2 0 0 0 0 3 25 3 0.1 0 2 0 0.0598097813189229
+2 0 0 0 0 3 26 3 0.1 0 2.2 0 0.0554786954561746
+2 0 0 0 0 3 27 3 0.1 0 2.4 0 0.0516924553250069
+2 0 0 0 0 3 28 3 0.1 0 2.6 0 0.0482476621790401
+2 0 0 0 0 3 29 3 0.1 0 2.8 0 0.045395702537666
+2 0 0 0 0 3 30 3 0.1 0 3 0 0.042955047717977
+
+
diff --git a/test/recoverML/phi.z.asc b/test/recoverML/phi.z.asc
new file mode 100644
index 0000000..7f7557e
--- /dev/null
+++ b/test/recoverML/phi.z.asc
@@ -0,0 +1,54 @@
+# 1D ASCII output created by CarpetIOASCII
+# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400
+# parameter filename: "test/recoverML.par"
+#
+# phi z (phi)
+#
+# iteration 1
+# 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
+1 0 0 0 0 3 15 0 0.05 0 0 -0.6 0
+1 0 0 0 0 3 15 1 0.05 0 0 -0.4 0
+1 0 0 0 0 3 15 2 0.05 0 0 -0.2 0
+1 0 0 0 0 3 15 3 0.05 0 0 0 0
+1 0 0 0 0 3 15 4 0.05 0 0 0.2 0
+1 0 0 0 0 3 15 5 0.05 0 0 0.4 0
+1 0 0 0 0 3 15 6 0.05 0 0 0.6 0
+1 0 0 0 0 3 15 7 0.05 0 0 0.8 -2.98923381217742e-06
+1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200577
+1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250962441
+1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.0659748462403934
+1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745610345
+1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.0577632417394683
+1 0 0 0 0 3 15 13 0.05 0 0 2 0.0542514864848703
+1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564456756
+1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970911499
+1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.045451090264976
+1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523133
+1 0 0 0 0 3 15 18 0.05 0 0 3 0.041076371737518
+
+
+# iteration 2
+# 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
+2 0 0 0 0 3 15 0 0.1 0 0 -0.6 -1.13606626854763e-05
+2 0 0 0 0 3 15 1 0.1 0 0 -0.4 -5.70260772663422e-12
+2 0 0 0 0 3 15 2 0.1 0 0 -0.2 0
+2 0 0 0 0 3 15 3 0.1 0 0 0 0
+2 0 0 0 0 3 15 4 0.1 0 0 0.2 0
+2 0 0 0 0 3 15 5 0.1 0 0 0.4 -5.70260772663422e-12
+2 0 0 0 0 3 15 6 0.1 0 0 0.6 -1.13606626854763e-05
+2 0 0 0 0 3 15 7 0.1 0 0 0.8 -0.00133832611532475
+2 0 0 0 0 3 15 8 0.1 0 0 1 0.00616767887334655
+2 0 0 0 0 3 15 9 0.1 0 0 1.2 0.092327526323873
+2 0 0 0 0 3 15 10 0.1 0 0 1.4 0.0660867338420946
+2 0 0 0 0 3 15 11 0.1 0 0 1.6 0.0617381611609299
+2 0 0 0 0 3 15 12 0.1 0 0 1.8 0.0578128512836466
+2 0 0 0 0 3 15 13 0.1 0 0 2 0.0542911351390374
+2 0 0 0 0 3 15 14 0.1 0 0 2.2 0.0511249365484818
+2 0 0 0 0 3 15 15 0.1 0 0 2.4 0.0481686248796174
+2 0 0 0 0 3 15 16 0.1 0 0 2.6 0.0452754287289777
+2 0 0 0 0 3 15 17 0.1 0 0 2.8 0.0429044073202016
+2 0 0 0 0 3 15 18 0.1 0 0 3 0.0408702248830441
+
+