new testsuite test

git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1332 f88db872-0e4f-0410-b76b-b9085cfa78c5
author: jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> 2004-05-12 16:07:51 +0000
committer: jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> 2004-05-12 16:07:51 +0000
commit: c4cd155f0318006ac36024aeb8abd019432c3f13 (patch)
tree: 88137bf256a691a58e4f5f0fe63a2b08640ecda1 /test
parent: 0452258629bd80957d718c4b02fbed2559a1352c (diff)
12 files changed, 18717 insertions, 0 deletions
diff --git a/test/misner1.2-025.par b/test/misner1.2-025.par
new file mode 100644
index 0000000..3708885
--- /dev/null
+++ b/test/misner1.2-025.par
@@ -0,0 +1,129 @@
+# This parameter file sets up Misner initial data and finds the
+# apparent horizons in it with AHFinderDirect.
+#
+# Note that the grid is very high-resolution, but small (the outer
+# boundaries are very close in).  This isn't a problem for the purposes
+# of this test.
+
+########################################
+ 
+#
+# ***** grid *****
+#
+
+ActiveThorns = "PUGH"
+
+Driver::global_nx   = 43
+Driver::global_ny   = 43
+Driver::global_nz   = 83
+driver::ghost_size  = 2
+
+ActiveThorns = "CoordBase CartGrid3D"
+Grid::domain        = "octant"
+Grid::type          = "byspacing"
+Grid::dxyz          = 0.025
+Grid::avoid_origin  = "true"
+
+########################################
+
+#
+# physics
+#
+
+ActiveThorns = "ADMBase ADMCoupling CoordGauge StaticConformal SpaceMask"
+ActiveThorns = "IDAnalyticBH"
+
+ADMBase::initial_data              = "misner_bh"
+IDAnalyticBH::mu                   = 1.2
+
+########################################
+
+#
+# numerical methods
+#
+
+Cactus::cctk_itlast = 0
+ADMBase::metric_type               = "static conformal"
+StaticConformal::conformal_storage = "factor+derivs+2nd derivs"
+SpaceMask::use_mask                = "true"
+
+ADMBase::evolution_method       = "none"
+ADMBase::initial_lapse          = "Cadez"
+ADMBase::lapse_evolution_method = "static"
+ADMBase::initial_shift          = "zero"
+ADMBase::shift_evolution_method = "static"
+
+########################################
+
+#
+# automagically create output directory
+#
+ActiveThorns = "IOUtil PUGHSlab IOASCII"
+IO::out_dir          = "misner1.2-025"
+IO::parfile_write    = "no"
+IOASCII::out2d_every = 1
+IOASCII::out2d_vars  = "SpaceMask::emask SphericalSurface::sf_radius[1] SphericalSUrface::sf_radius[2]"
+
+########################################
+
+#
+# SphericalSurface
+#
+ActiveThorns = "SphericalSurface"
+SphericalSurface::nsurfaces = 3
+SphericalSurface::maxntheta = 62
+SphericalSurface::maxnphi   = 62
+
+SphericalSurface::nghoststheta[1] = 2
+SphericalSurface::ntheta[1] = 32
+SphericalSurface::nphi  [1] = 32
+
+SphericalSurface::nghostsphi  [2] = 2
+SphericalSurface::ntheta[1] = 62
+SphericalSurface::nphi  [1] = 62
+
+########################################
+
+#
+# AHFinderDirect
+#
+
+ActiveThorns = "PUGHInterp PUGHReduce AEILocalInterp AHFinderDirect"
+
+AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
+
+AHFinderDirect::N_horizons = 2
+
+AHFinderDirect::set_mask_for_all_horizons = "true"
+# only test old-style mask for now,
+# since we don't have a thorn to set up the new-style bit fields yet
+AHFinderDirect::set_old_style_mask = "true"
+AHFinderDirect::set_new_style_mask = "false"
+# have mask directly show horizon position for testing (no buffer zone)
+AHFinderDirect::mask_radius_multiplier[1] = 1.0
+AHFinderDirect::mask_radius_multiplier[2] = 1.0
+AHFInderDirect::mask_radius_offset[1]     = 0.0
+AHFInderDirect::mask_radius_offset[2]     = 0.0
+
+AHFinderDirect::which_surface_to_store_info[1] = 1
+AHFinderDirect::origin_x[1] = 0.0
+AHFinderDirect::origin_y[1] = 0.0
+AHFinderDirect::origin_z[1] = 1.0
+AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
+AHFinderDirect::initial_guess__coord_sphere__x_center[1] = 0.0
+AHFinderDirect::initial_guess__coord_sphere__y_center[1] = 0.0
+AHFinderDirect::initial_guess__coord_sphere__z_center[1] = 1.1
+AHFinderDirect::initial_guess__coord_sphere__radius[1] = 0.60
+
+AHFinderDirect::which_surface_to_store_info[2] = 2
+AHFinderDirect::N_zones_per_right_angle[2] = 30
+AHFinderDirect::origin_x[2] = 0.0
+AHFinderDirect::origin_y[2] = 0.0
+AHFinderDirect::origin_z[2] = 0.0
+AHFinderDirect::initial_guess_method[2] = "coordinate ellipsoid"
+AHFinderDirect::initial_guess__coord_ellipsoid__x_center[2] = 0.0
+AHFinderDirect::initial_guess__coord_ellipsoid__y_center[2] = 0.0
+AHFinderDirect::initial_guess__coord_ellipsoid__z_center[2] = 0.0
+AHFinderDirect::initial_guess__coord_ellipsoid__x_radius[2] = 0.6
+AHFinderDirect::initial_guess__coord_ellipsoid__y_radius[2] = 0.6
+AHFinderDirect::initial_guess__coord_ellipsoid__z_radius[2] = 1.8
diff --git a/test/misner1.2-025/BH_diagnostics.ah1.gp b/test/misner1.2-025/BH_diagnostics.ah1.gp
new file mode 100644
index 0000000..c1d3c21
--- /dev/null
+++ b/test/misner1.2-025/BH_diagnostics.ah1.gp
@@ -0,0 +1,40 @@
+# apparent horizon 1/2
+#
+# 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 = irreducible mass
+# column 28 = areal radius
+# column 29 = [not implemented yet] (outer) expansion Theta_(l)
+# column 30 = [not implemented yet] inner expansion Theta_(n)
+# column 31 = [not implemented yet] product of inner and outer expansions
+# column 32 = [not implemented yet] mean curvature
+# column 33 = [not implemented yet] d/d(coordinate radius) of area
+# column 34 = [not implemented yet] d/d(coordinate radius) of (outer) expansion Theta_(l)
+# column 35 = [not implemented yet] d/d(coordinate radius) of inner expansion Theta_(n)
+# column 36 = [not implemented yet] d/d(coordinate radius) of product of inner and outer expansions
+# column 37 = [not implemented yet] d/d(coordinate radius) of mean curvature
+0	0.000	0.000000	0.000000	1.127430	0.4629770643	0.8620365026	0.6607353875	0.1428053637	0.000000000	0.000000000	0.1428053637	0.000000000	0.1481067589	-0.6621492573	0.6621492573	-0.6621492573	0.6621492573	0.5370229357	1.862036503	31.71508062	32.86875067	32.86875067	1.036376072	1.036376072	338.0475112	2.593307068	5.186614136	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/misner1.2-025/BH_diagnostics.ah2.gp b/test/misner1.2-025/BH_diagnostics.ah2.gp
new file mode 100644
index 0000000..3b93f6e
--- /dev/null
+++ b/test/misner1.2-025/BH_diagnostics.ah2.gp
@@ -0,0 +1,40 @@
+# apparent horizon 2/2
+#
+# 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 = irreducible mass
+# column 28 = areal radius
+# column 29 = [not implemented yet] (outer) expansion Theta_(l)
+# column 30 = [not implemented yet] inner expansion Theta_(n)
+# column 31 = [not implemented yet] product of inner and outer expansions
+# column 32 = [not implemented yet] mean curvature
+# column 33 = [not implemented yet] d/d(coordinate radius) of area
+# column 34 = [not implemented yet] d/d(coordinate radius) of (outer) expansion Theta_(l)
+# column 35 = [not implemented yet] d/d(coordinate radius) of inner expansion Theta_(n)
+# column 36 = [not implemented yet] d/d(coordinate radius) of product of inner and outer expansions
+# column 37 = [not implemented yet] d/d(coordinate radius) of mean curvature
+0	0.000	0.000000	0.000000	0.000000	0.3564673701	1.936787390	1.237012834	0.2058766958	0.000000000	0.000000000	0.2058766958	0.000000000	1.322929146	-0.7790370066	0.7790370066	-0.7790370066	0.7790370066	-1.936787390	1.936787390	14.51533018	64.12845394	64.12845394	4.417981069	4.417981069	719.7156025	3.783951238	7.567902475	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/misner1.2-025/emask_xy_[2].asc b/test/misner1.2-025/emask_xy_[2].asc
new file mode 100644
index 0000000..39358f8
--- /dev/null
+++ b/test/misner1.2-025/emask_xy_[2].asc
@@ -0,0 +1,1899 @@
+#Parameter file misner1.2-025.par
+#Created May 12 2004 18:07:12
+#x-label x
+#y-label y
+#z-label SPACEMASK::emask (z = 0.0125000000000), (zi = 2)
+
+#Time = 0.0000000000000
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+-0.0375000000000		-0.0125000000000		0.0000000000000
+-0.0375000000000		0.0125000000000		0.0000000000000
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diff --git a/test/misner1.2-025/emask_xz_[2].asc b/test/misner1.2-025/emask_xz_[2].asc
new file mode 100644
index 0000000..d4ce49b
--- /dev/null
+++ b/test/misner1.2-025/emask_xz_[2].asc
@@ -0,0 +1,3619 @@
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+#Created May 12 2004 18:07:12
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diff --git a/test/misner1.2-025/emask_yz_[2].asc b/test/misner1.2-025/emask_yz_[2].asc
new file mode 100644
index 0000000..f644610
--- /dev/null
+++ b/test/misner1.2-025/emask_yz_[2].asc
@@ -0,0 +1,3619 @@
+#Parameter file misner1.2-025.par
+#Created May 12 2004 18:07:12
+#x-label y
+#y-label z
+#z-label SPACEMASK::emask (x = 0.0125000000000), (xi = 2)
+
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diff --git a/test/misner1.2-025/h.ah1.dx b/test/misner1.2-025/h.ah1.dx
new file mode 100644
index 0000000..3116295
--- /dev/null
+++ b/test/misner1.2-025/h.ah1.dx
@@ -0,0 +1,13 @@
+# list the size of each patch (N_rho x N_sigma)
+object "+z patch" class array type int rank 1 shape 2 items 1 data follows 10 10
+object "+x patch" class array type int rank 1 shape 2 items 1 data follows 19 10
+object "+y patch" class array type int rank 1 shape 2 items 1 data follows 19 10
+object "-z patch" class array type int rank 1 shape 2 items 1 data follows 10 10
+
+# collect all patch sizes into a single OpenDX group
+# for the ImportAHFinderDirectGnuplot macro to read
+object "patchsizes" class group
+member 0 value "+z patch"
+member 1 value "+x patch"
+member 2 value "+y patch"
+member 3 value "-z patch"
diff --git a/test/misner1.2-025/h.ah2.dx b/test/misner1.2-025/h.ah2.dx
new file mode 100644
index 0000000..39c47e6
--- /dev/null
+++ b/test/misner1.2-025/h.ah2.dx
@@ -0,0 +1,11 @@
+# list the size of each patch (N_rho x N_sigma)
+object "+z patch" class array type int rank 1 shape 2 items 1 data follows 16 16
+object "+x patch" class array type int rank 1 shape 2 items 1 data follows 16 16
+object "+y patch" class array type int rank 1 shape 2 items 1 data follows 16 16
+
+# collect all patch sizes into a single OpenDX group
+# for the ImportAHFinderDirectGnuplot macro to read
+object "patchsizes" class group
+member 0 value "+z patch"
+member 1 value "+x patch"
+member 2 value "+y patch"
diff --git a/test/misner1.2-025/h.t0.ah1.gp b/test/misner1.2-025/h.t0.ah1.gp
new file mode 100644
index 0000000..1fc7bc3
--- /dev/null
+++ b/test/misner1.2-025/h.t0.ah1.gp
@@ -0,0 +1,676 @@
+# N_patches = 4
+
+### +z patch
+# N_rho = 10
+# N_sigma = 10
+# ghosted_gfn=-1
+# dpx = dsigma = dnu
+# dpy = drho = dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+0	0	0.862036502558001	0.000000000	0.000000000	1.862036503
+5	0	0.861045060547852	0.07504502179	0.000000000	1.857768524
+10	0	0.858093005990035	0.1490062868	0.000000000	1.845056645
+15	0	0.853214690684976	0.2208282115	0.000000000	1.824142105
+20	0	0.846472439154072	0.2895106250	0.000000000	1.795423905
+25	0	0.837949161346176	0.3541326180	0.000000000	1.759439850
+30	0	0.827744523515667	0.4138722618	0.000000000	1.716847785
+35	0	0.815988033019201	0.4680315081	0.000000000	1.668418265
+40	0	0.802820244602559	0.5160429060	0.000000000	1.614995987
+45	0	0.788399778920489	0.5574828300	0.000000000	1.557482830
+
+0	5	0.861045060547852	0.000000000	0.07504502179	1.857768524
+5	5	0.860067928008297	0.07467676868	0.07467676868	1.853559372
+10	5	0.857153970531831	0.1482938160	0.07357936781	1.841016022
+15	5	0.852332133849180	0.2198162734	0.07177268125	1.820365501
+20	5	0.845663904429242	0.2882615666	0.06929033431	1.791992145
+25	5	0.837228020069462	0.3527207807	0.06617748853	1.756412155
+30	5	0.827120792583277	0.4123784199	0.06248968563	1.714260375
+35	5	0.815465320450383	0.4665351437	0.05829205483	1.666281236
+40	5	0.802397779953339	0.5146168916	0.05365649370	1.613296529
+45	5	0.788071965484988	0.5561877449	0.04866012248	1.556187745
+
+0	10	0.858093005990035	0.000000000	0.1490062868	1.845056645
+5	10	0.857153970531831	0.07357936781	0.1482938160	1.841016022
+10	10	0.854341825307421	0.1461675229	0.1461675229	1.828957215
+15	10	0.849688771313901	0.2167936868	0.1426635247	1.809085054
+20	10	0.843239801139213	0.2845257264	0.1378397395	1.781728009
+25	10	0.835064390339673	0.3484916040	0.1317766742	1.747342656
+30	10	0.825246530070322	0.4078949411	0.1245740883	1.706494762
+35	10	0.813891487349029	0.4620342598	0.1163499414	1.659853307
+40	10	0.801123208042149	0.5103177242	0.1072373055	1.608172981
+45	10	0.787080276243825	0.5522736423	0.09738074387	1.552273642
+
+0	15	0.853214690684976	0.000000000	0.2208282115	1.824142105
+5	15	0.852332133849180	0.07177268125	0.2198162734	1.820365501
+10	15	0.849688771313901	0.1426635247	0.2167936868	1.809085054
+15	15	0.845303126612860	0.2118015242	0.2118015242	1.790454050
+20	15	0.839210202762810	0.2783392746	0.2049090195	1.764730872
+25	15	0.831456665457972	0.3414643342	0.1962118592	1.732272628
+30	15	0.822109028244723	0.4004151686	0.1858333265	1.693539416
+35	15	0.811248255047228	0.4544937314	0.1739216185	1.649084317
+40	15	0.798972612711834	0.5030811074	0.1606485946	1.599548717
+45	15	0.785399876524247	0.5456538865	0.1462075182	1.545653886
+
+0	20	0.846472439154072	0.000000000	0.2895106250	1.795423905
+5	20	0.845663904429242	0.06929033431	0.2882615666	1.791992145
+10	20	0.843239801139214	0.1378397395	0.2845257264	1.781728009
+15	20	0.839210202762810	0.2049090195	0.2783392746	1.764730872
+20	20	0.833589028793164	0.2697623946	0.2697623946	1.741166088
+25	20	0.826403130430893	0.3316736285	0.2588834349	1.711276392
+30	20	0.817690795013074	0.3899329966	0.2458195860	1.675383762
+35	20	0.807502888581093	0.4438569863	0.2307183548	1.633893470
+40	20	0.795906708667778	0.4928024255	0.2137593768	1.587299061
+45	20	0.782989715353251	0.5361843718	0.1951551514	1.536184372
+
+0	25	0.837949161346176	0.000000000	0.3541326180	1.759439850
+5	25	0.837228020069463	0.06617748853	0.3527207807	1.756412155
+10	25	0.835064390339673	0.1317766742	0.3484916040	1.747342656
+15	25	0.831456665457973	0.1962118592	0.3414643342	1.732272628
+20	25	0.826403130430893	0.2588834349	0.3316736285	1.711276392
+25	25	0.819905822286217	0.3191742673	0.3191742673	1.684471425
+30	25	0.811971817351202	0.3764486721	0.3040457553	1.652028226
+35	25	0.802617115769728	0.4300561462	0.2863986225	1.614183828
+40	25	0.791875577155244	0.4793434294	0.2663825650	1.571259254
+45	25	0.779792496858612	0.5236641414	0.2441885995	1.523664141
+
+0	30	0.827744523515668	0.000000000	0.4138722618	1.716847785
+5	30	0.827120792583278	0.06248968563	0.4123784199	1.714260375
+10	30	0.825246530070323	0.1245740883	0.4078949411	1.706494762
+15	30	0.822109028244724	0.1858333265	0.4004151686	1.693539416
+20	30	0.817690795013075	0.2458195860	0.3899329966	1.675383762
+25	30	0.811971817351202	0.3040457553	0.3764486721	1.652028226
+30	30	0.804928193166846	0.3599748314	0.3599748314	1.623494697
+35	30	0.796543933252638	0.4130179007	0.3405504556	1.589850692
+40	30	0.786810948168337	0.4625338052	0.3182506666	1.551226324
+45	30	0.775730853419541	0.5078350507	0.2931987032	1.507835051
+
+0	35	0.815988033019204	0.000000000	0.4680315081	1.668418265
+5	35	0.815465320450386	0.05829205483	0.4665351437	1.666281236
+10	35	0.813891487349032	0.1163499414	0.4620342598	1.659853307
+15	35	0.811248255047230	0.1739216185	0.4544937314	1.649084317
+20	35	0.807502888581095	0.2307183548	0.4438569863	1.633893470
+25	35	0.802617115769729	0.2863986225	0.4300561462	1.614183828
+30	35	0.796543933252638	0.3405504556	0.4130179007	1.589850692
+35	35	0.789234295219383	0.3926778507	0.3926778507	1.560802090
+40	35	0.780637972824407	0.4421884606	0.3689951490	1.526979686
+45	35	0.770712385981393	0.4883906311	0.3419748015	1.488390631
+
+0	40	0.802820244602562	0.000000000	0.5160429060	1.614995987
+5	40	0.802397779953342	0.05365649370	0.5146168916	1.613296529
+10	40	0.801123208042153	0.1072373055	0.5103177242	1.608172981
+15	40	0.798972612711836	0.1606485946	0.5030811074	1.599548717
+20	40	0.795906708667780	0.2137593768	0.4928024255	1.587299061
+25	40	0.791875577155246	0.2663825650	0.4793434294	1.571259254
+30	40	0.786810948168338	0.3182506666	0.4625338052	1.551226324
+35	40	0.780637972824408	0.3689951490	0.4421884606	1.526979686
+40	40	0.773272367399943	0.4181208984	0.4181208984	1.498297083
+45	40	0.764629233689837	0.4649866373	0.3901701158	1.464986637
+
+0	45	0.788399778920493	0.000000000	0.5574828300	1.557482830
+5	45	0.788071965484993	0.04866012248	0.5561877449	1.556187745
+10	45	0.787080276243829	0.09738074387	0.5522736423	1.552273642
+15	45	0.785399876524250	0.1462075182	0.5456538865	1.545653886
+20	45	0.782989715353254	0.1951551514	0.5361843718	1.536184372
+25	45	0.779792496858615	0.2441885995	0.5236641414	1.523664141
+30	45	0.775730853419543	0.2931987032	0.5078350507	1.507835051
+35	45	0.770712385981395	0.3419748015	0.4883906311	1.488390631
+40	45	0.764629233689838	0.3901701158	0.4649866373	1.464986637
+45	45	0.757360318534262	0.4372621838	0.4372621838	1.437262184
+
+
+### +x patch
+# N_rho = 19
+# N_sigma = 10
+# ghosted_gfn=-1
+# dpx = drho = dnu
+# dpy = dsigma = dphi
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+45	0	0.788399781739763	0.5574828320	0.000000000	1.557482832
+45	5	0.788071969306637	0.5561877476	0.04866012271	1.556187748
+45	10	0.787080274847399	0.5522736413	0.09738074370	1.552273641
+45	15	0.785399865269176	0.5456538787	0.1462075161	1.545653879
+45	20	0.782989790662030	0.5361844234	0.1951551702	1.536184423
+45	25	0.779792430349651	0.5236640968	0.2441885786	1.523664097
+45	30	0.775731000226791	0.5078351468	0.2931987587	1.507835147
+45	35	0.770712453705261	0.4883906740	0.3419748315	1.488390674
+45	40	0.764629394813409	0.4649867353	0.3901701981	1.464986735
+45	45	0.757360657917464	0.4372623797	0.4372623797	1.437262380
+
+50	0	0.772894174777954	0.5920712877	0.000000000	1.496806799
+50	5	0.772550068404627	0.5904830341	0.05166057149	1.495474096
+50	10	0.771510622220067	0.5856925757	0.1032734035	1.491454424
+50	15	0.769756289296601	0.5776248002	0.1547740987	1.484684757
+50	20	0.767257986522388	0.5661591870	0.2060650919	1.475063965
+50	25	0.763970001967672	0.5511281647	0.2569952838	1.462451440
+50	30	0.759839468002102	0.5323305653	0.3073411952	1.446678381
+50	35	0.754800554769917	0.5095378057	0.3567822126	1.427552985
+50	40	0.748783134589297	0.4825162095	0.4048791735	1.404879173
+50	45	0.741715275840544	0.4510521920	0.4510521920	1.378477728
+
+55	0	0.756481133966870	0.6196730674	0.000000000	1.433899753
+55	5	0.756136562617784	0.6178062887	0.05405104652	1.432592621
+55	10	0.755097355453428	0.6121866306	0.1079450202	1.428657694
+55	15	0.753348402511754	0.6027583172	0.1615086043	1.422055917
+55	20	0.750873796478394	0.5894393732	0.2145383868	1.412729892
+55	25	0.747643406316247	0.5721164928	0.2667823019	1.400600281
+55	30	0.743623492687207	0.5506624471	0.3179251121	1.385577996
+55	35	0.738776818637355	0.5249487843	0.3675730959	1.367573096
+55	40	0.733065662187776	0.4948653874	0.4152413641	1.346508475
+55	45	0.726457340271528	0.4603467718	0.4603467718	1.322338280
+
+60	0	0.739349074095796	0.6402950804	0.000000000	1.369674537
+60	5	0.739019379518197	0.6381803770	0.05583354828	1.368453612
+60	10	0.738025526622255	0.6318247334	0.1114077476	1.364784180
+60	15	0.736364679331880	0.6212046240	0.1664512773	1.358652657
+60	20	0.734026615258245	0.6062800995	0.2206679099	1.350035979
+60	25	0.730995708944827	0.5870029298	0.2737239615	1.338906300
+60	30	0.727255389117409	0.5633296021	0.3252384974	1.325238497
+60	35	0.722791288691884	0.5352359409	0.3747762405	1.309018615
+60	40	0.717591995285795	0.5027327069	0.4218428289	1.290252864
+60	45	0.711651838393243	0.4658854883	0.4658854883	1.268979112
+
+65	0	0.721680959691390	0.6540650735	0.000000000	1.304995553
+65	5	0.721381498741973	0.6517480556	0.05702056634	1.303915110
+65	10	0.720484118322967	0.6447987977	0.1136954252	1.300674617
+65	15	0.718988144167550	0.6332204185	0.1696708998	1.295275530
+65	20	0.716888261222690	0.6170181076	0.2245762252	1.287720269
+65	25	0.714182208727004	0.5962115414	0.2780180076	1.278018008
+65	30	0.710869363152126	0.5708411058	0.3295752661	1.266187579
+65	35	0.706950230451789	0.5409769992	0.3787961728	1.252261718
+65	40	0.702428837506154	0.5067323521	0.4251989298	1.236293176
+65	45	0.697316210278085	0.4682777739	0.4682777739	1.218361512
+
+70	0	0.703675631692074	0.6612387985	0.000000000	1.240671240
+70	5	0.703419092000503	0.6587751857	0.05763536056	1.239774559
+70	10	0.702654507823524	0.6513979871	0.1148590403	1.237089478
+70	15	0.701388649469304	0.6391408870	0.1712572845	1.232628258
+70	20	0.699614457086253	0.6220457471	0.2264061363	1.226406136
+70	25	0.697341670773438	0.6001945649	0.2798753220	1.218452956
+70	30	0.694576875810449	0.5736960059	0.3312235434	1.208808270
+70	35	0.691328906240927	0.5426963614	0.3800000832	1.197525322
+70	40	0.687609831501441	0.5073868633	0.4257481299	1.184673716
+70	45	0.683437920318067	0.4680121907	0.4680121907	1.170342507
+
+75	0	0.685507353930824	0.6621492573	0.000000000	1.177422359
+75	5	0.685306191398233	0.6596038498	0.05770785927	1.176740319
+75	10	0.684708938147964	0.6519890420	0.1149632592	1.174699937
+75	15	0.683724395889998	0.6393596575	0.1713159039	1.171315904
+75	20	0.682347165632193	0.6217893219	0.2263128051	1.166607947
+75	25	0.680590050830456	0.5994028139	0.2795061225	1.160609500
+75	30	0.678462569115211	0.5723578235	0.3304509435	1.153362817
+75	35	0.675976003981302	0.5408522235	0.3787088040	1.144920917
+75	40	0.673144173085677	0.5051271083	0.4238519702	1.135348401
+75	45	0.669986086386917	0.4654705493	0.4654705493	1.124722458
+
+80	0	0.667350357717164	0.6572118063	0.000000000	1.115884173
+80	5	0.667214407768063	0.6546525206	0.05727467410	1.115432902
+80	10	0.666810569811629	0.6469979776	0.1140831999	1.114083200
+80	15	0.666142597478682	0.6343099232	0.1699628317	1.111845954
+80	20	0.665210835656613	0.6166857176	0.2244552451	1.108738331
+80	25	0.664023525870412	0.5942692701	0.2771123117	1.104785706
+80	30	0.662590077555971	0.5672443351	0.3274986696	1.100020481
+80	35	0.660919861885091	0.5358332941	0.3751945117	1.094481867
+80	40	0.659024491144675	0.5002986875	0.4198004441	1.088216157
+80	45	0.656919256946926	0.4609430597	0.4609430597	1.081276698
+
+85	0	0.649380859297107	0.6469097691	0.000000000	1.056597271
+85	5	0.649314040424974	0.6444003624	0.05637772648	1.056377726
+85	10	0.649114122295318	0.6368930157	0.1123014225	1.055720919
+85	15	0.648777675221069	0.6244453320	0.1673196224	1.054631888
+85	20	0.648312912237364	0.6071664303	0.2209905079	1.053120180
+85	25	0.647721341293438	0.5851981586	0.2728823829	1.051198205
+85	30	0.647006691392273	0.5587227963	0.3225787569	1.048881911
+85	35	0.646175125599519	0.5279615825	0.3696826800	1.046190653
+85	40	0.645233577584803	0.4931712470	0.4138198115	1.043146893
+85	45	0.644190387457064	0.4546422340	0.4546422340	1.039776041
+
+90	0	0.631753690754711	0.6317536908	0.000000000	1.000000000
+90	5	0.631752901878880	0.6293488914	0.05506089340	1.000000000
+90	10	0.631752411348134	0.6221546727	0.1097026550	1.000000000
+90	15	0.631752851650150	0.6102263952	0.1635096698	1.000000000
+90	20	0.631751621195746	0.5936523366	0.2160717800	1.000000000
+90	25	0.631750912810587	0.5725607717	0.2669894726	1.000000000
+90	30	0.631750334220056	0.5471118383	0.3158751671	1.000000000
+90	35	0.631749585548369	0.5174989645	0.3623566759	1.000000000
+90	40	0.631749595948113	0.4839482674	0.4060808127	1.000000000
+90	45	0.631749480443033	0.4467143416	0.4467143416	1.000000000
+
+95	0	0.614607575375819	0.6122688080	0.000000000	0.9464334203
+95	5	0.614669458192507	0.6100179527	0.05336965541	0.9466303446
+95	10	0.614857191836760	0.6032810529	0.1063747266	0.9472197470
+95	15	0.615173600870220	0.5921015752	0.1586531389	0.9481978245
+95	20	0.615613337093415	0.5765421994	0.2098441994	0.9495590935
+95	25	0.616175458065670	0.5566973334	0.2595922298	0.9512952943
+95	30	0.616854913643517	0.5326852208	0.3075459556	0.9533960820
+95	35	0.617647165538921	0.5046526275	0.3533615740	0.9558486161
+95	40	0.618547011631563	0.4727739096	0.3967044131	0.9586376425
+95	45	0.619547899824719	0.4372506121	0.4372506121	0.9617455283
+
+100	0	0.598060164868716	0.5889742871	0.000000000	0.8961479422
+100	5	0.598179696772928	0.5869175511	0.05134863214	0.8965106003
+100	10	0.598537860635826	0.5807538196	0.1024025675	0.8975974325
+100	15	0.599137685764188	0.5705069468	0.1528668757	0.8994042326
+100	20	0.599975653009906	0.5562092442	0.2024436089	0.9019253033
+100	25	0.601047438365877	0.5379086864	0.2508309398	0.9051521854
+100	30	0.602346614863816	0.5156698185	0.2977221085	0.9090734979
+100	35	0.603867729529413	0.4895789238	0.3428068530	0.9136740265
+100	40	0.605603179030785	0.4597438785	0.3857709189	0.9189347500
+100	45	0.607543364327766	0.4262972873	0.4262972873	0.9248322864
+
+105	0	0.582221259221048	0.5623825509	0.000000000	0.8493100497
+105	5	0.582388346476572	0.5605459285	0.04904141413	0.8498021711
+105	10	0.582890569147180	0.5550362243	0.09786786162	0.8512784919
+105	15	0.583730045212700	0.5458536276	0.1462610387	0.8537389613
+105	20	0.584905468997572	0.5329955091	0.1939945003	0.8571842838
+105	25	0.586413791356088	0.5164607920	0.2408296224	0.8616147479
+105	30	0.588252533075016	0.4962557329	0.2865133810	0.8670286771
+105	35	0.590417346013881	0.4723962574	0.3307754205	0.8734218043
+105	40	0.592900662286011	0.4449124110	0.3733258400	0.8807860788
+105	45	0.595693748501948	0.4138562008	0.4138562008	0.8891075652
+
+110	0	0.567182927206040	0.5329776113	0.000000000	0.8060120139
+110	5	0.567387007391894	0.5313766507	0.04648943300	0.8065947160
+110	10	0.568000452124882	0.5265665375	0.09284788769	0.8083454540
+110	15	0.569026178354026	0.5185254946	0.1389384875	0.8112721543
+110	20	0.570467161233617	0.5072174651	0.1846120596	0.8153879404
+110	25	0.572325724604688	0.4925946687	0.2297006664	0.8207102030
+110	30	0.574604091898140	0.4746027171	0.2740120065	0.8272587379
+110	35	0.577304023322980	0.4531863054	0.3173244673	0.8350536742
+110	40	0.580426732004048	0.4282965214	0.3593834532	0.8441128148
+110	45	0.583969600259546	0.3998971725	0.3998971725	0.8544493324
+
+115	0	0.553025093276731	0.5012109485	0.000000000	0.7662814964
+115	5	0.553253886335488	0.4998494490	0.04373116026	0.7669163740
+115	10	0.553942096226503	0.4957516600	0.08741439339	0.7688272044
+115	15	0.555095154253152	0.4888781390	0.1309945025	0.7720323799
+115	20	0.556720707610696	0.4791635964	0.1744012864	0.7765623455
+115	25	0.558829126210597	0.4665201270	0.2175419079	0.7824580921
+115	30	0.561433131343626	0.4508410774	0.2602932174	0.7897693530
+115	35	0.564546330237935	0.4320057714	0.3024936977	0.7985524004
+115	40	0.568179938718522	0.4098851604	0.3439344870	0.8088674107
+115	45	0.572345712571234	0.3843547192	0.3843547192	0.8207724510
+
+120	0	0.539809381212231	0.4674886373	0.000000000	0.7300953094
+120	5	0.540049936321573	0.4663602627	0.04080123611	0.7307467768
+120	10	0.540774640372062	0.4629579610	0.08163197947	0.7327110966
+120	15	0.541992700155645	0.4572304742	0.1225145363	0.7360178626
+120	20	0.543719245728423	0.4490929233	0.1634564565	0.7407160798
+120	25	0.545974505333079	0.4384275178	0.2044421091	0.7468737546
+120	30	0.548782565036197	0.4250851470	0.2454230241	0.7545769759
+120	35	0.552170909560400	0.4088894276	0.2863074595	0.7639275789
+120	40	0.556172165914605	0.3896447289	0.3269507483	0.7750385109
+120	45	0.560814224181881	0.3671390904	0.3671390904	0.7880321473
+
+125	0	0.527581214615465	0.4321692305	0.000000000	0.6973918470
+125	5	0.527821783127856	0.4312602155	0.03773037989	0.6980283462
+125	10	0.528547822757576	0.4285141623	0.07555860842	0.6999511534
+125	15	0.529772288876291	0.4238738043	0.1135766435	0.7032003670
+125	20	0.531517281219997	0.4172435029	0.1518642155	0.7078429540
+125	25	0.533813439841248	0.4084881514	0.1904811533	0.7139735171
+125	30	0.536699863073827	0.3974329252	0.2294580064	0.7217144698
+125	35	0.540220776656984	0.3838618549	0.2687829644	0.7312170356
+125	40	0.544429756814232	0.3675242975	0.3083895025	0.7426567164
+125	45	0.549383389109759	0.3481372623	0.3481372623	0.7562316646
+
+130	0	0.516374624050018	0.3955659113	0.000000000	0.6680807897
+130	5	0.516604586707390	0.3948562770	0.03454544796	0.6686762436
+130	10	0.517299969368879	0.3927084641	0.06924509777	0.6704784726
+130	15	0.518477339111239	0.3890651802	0.1042497008	0.6735355508
+130	20	0.520165005555100	0.3838294313	0.1397024880	0.6779288658
+130	25	0.522402826175379	0.3768615392	0.1757334218	0.6837756215
+130	30	0.525242706781383	0.3679760776	0.2124510875	0.6912314090
+130	35	0.528749814427711	0.3569393511	0.2499316243	0.7004923222
+130	40	0.532998911494089	0.3434647531	0.2882011477	0.7117988523
+130	45	0.538079965744462	0.3272174053	0.3272174053	0.7254319959
+
+135	0	0.506214664457665	0.3579478220	0.000000000	0.6420521780
+135	5	0.506425258645350	0.3574134532	0.03126962535	0.6425865468
+135	10	0.507063306039819	0.3557930587	0.06273591579	0.6442069413
+135	15	0.508147867023125	0.3530339981	0.09459517470	0.6469660019
+135	20	0.509711372282851	0.3490458005	0.1270422818	0.6509541995
+135	25	0.511800887009003	0.3436962694	0.1602682025	0.6563037306
+135	30	0.514479990756346	0.3368062145	0.1944551586	0.6631937855
+135	35	0.517830105281389	0.3281423479	0.2297677456	0.6718576521
+135	40	0.521949730425010	0.3174082801	0.2663371708	0.6825917199
+135	45	0.526960389299915	0.3042407226	0.3042407226	0.6957592774
+
+
+### +y patch
+# N_rho = 19
+# N_sigma = 10
+# ghosted_gfn=-1
+# dpx = 90 - dsigma = 90 - dphi
+# dpy = drho = dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+45	45	0.757360657917461	0.4372623797	0.4372623797	1.437262380
+40	45	0.764629394813409	0.3901701981	0.4649867353	1.464986735
+35	45	0.770712453705263	0.3419748315	0.4883906740	1.488390674
+30	45	0.775731000226793	0.2931987587	0.5078351468	1.507835147
+25	45	0.779792430349653	0.2441885786	0.5236640968	1.523664097
+20	45	0.782989790662032	0.1951551702	0.5361844234	1.536184423
+15	45	0.785399865269178	0.1462075161	0.5456538787	1.545653879
+10	45	0.787080274847402	0.09738074370	0.5522736413	1.552273641
+5	45	0.788071969306641	0.04866012271	0.5561877476	1.556187748
+0	45	0.788399781739767	0.000000000	0.5574828320	1.557482832
+
+45	50	0.741715275840543	0.4510521920	0.4510521920	1.378477728
+40	50	0.748783134589297	0.4048791735	0.4825162095	1.404879173
+35	50	0.754800554769918	0.3567822126	0.5095378057	1.427552985
+30	50	0.759839468002104	0.3073411952	0.5323305653	1.446678381
+25	50	0.763970001967674	0.2569952838	0.5511281647	1.462451440
+20	50	0.767257986522391	0.2060650919	0.5661591870	1.475063965
+15	50	0.769756289296604	0.1547740987	0.5776248002	1.484684757
+10	50	0.771510622220070	0.1032734035	0.5856925757	1.491454424
+5	50	0.772550068404631	0.05166057149	0.5904830341	1.495474096
+0	50	0.772894174777958	0.000000000	0.5920712877	1.496806799
+
+45	55	0.726457340271528	0.4603467718	0.4603467718	1.322338280
+40	55	0.733065662187777	0.4152413641	0.4948653874	1.346508475
+35	55	0.738776818637357	0.3675730959	0.5249487843	1.367573096
+30	55	0.743623492687210	0.3179251121	0.5506624471	1.385577996
+25	55	0.747643406316251	0.2667823019	0.5721164928	1.400600281
+20	55	0.750873796478398	0.2145383868	0.5894393732	1.412729892
+15	55	0.753348402511758	0.1615086043	0.6027583172	1.422055917
+10	55	0.755097355453433	0.1079450202	0.6121866306	1.428657694
+5	55	0.756136562617789	0.05405104652	0.6178062887	1.432592621
+0	55	0.756481133966876	0.000000000	0.6196730674	1.433899753
+
+45	60	0.711651838393243	0.4658854883	0.4658854883	1.268979112
+40	60	0.717591995285797	0.4218428289	0.5027327069	1.290252864
+35	60	0.722791288691887	0.3747762405	0.5352359409	1.309018615
+30	60	0.727255389117413	0.3252384974	0.5633296021	1.325238497
+25	60	0.730995708944831	0.2737239615	0.5870029298	1.338906300
+20	60	0.734026615258249	0.2206679099	0.6062800995	1.350035979
+15	60	0.736364679331885	0.1664512773	0.6212046240	1.358652657
+10	60	0.738025526622261	0.1114077476	0.6318247334	1.364784180
+5	60	0.739019379518203	0.05583354828	0.6381803770	1.368453612
+0	60	0.739349074095803	0.000000000	0.6402950804	1.369674537
+
+45	65	0.697316210278084	0.4682777739	0.4682777739	1.218361512
+40	65	0.702428837506155	0.4251989298	0.5067323521	1.236293176
+35	65	0.706950230451792	0.3787961728	0.5409769992	1.252261718
+30	65	0.710869363152130	0.3295752661	0.5708411058	1.266187579
+25	65	0.714182208727008	0.2780180076	0.5962115414	1.278018008
+20	65	0.716888261222695	0.2245762252	0.6170181076	1.287720269
+15	65	0.718988144167556	0.1696708998	0.6332204185	1.295275530
+10	65	0.720484118322974	0.1136954252	0.6447987977	1.300674617
+5	65	0.721381498741981	0.05702056634	0.6517480556	1.303915110
+0	65	0.721680959691398	0.000000000	0.6540650735	1.304995553
+
+45	70	0.683437920318067	0.4680121907	0.4680121907	1.170342507
+40	70	0.687609831501443	0.4257481299	0.5073868633	1.184673716
+35	70	0.691328906240930	0.3800000832	0.5426963614	1.197525322
+30	70	0.694576875810453	0.3312235434	0.5736960059	1.208808270
+25	70	0.697341670773443	0.2798753220	0.6001945649	1.218452956
+20	70	0.699614457086259	0.2264061363	0.6220457471	1.226406136
+15	70	0.701388649469311	0.1712572845	0.6391408870	1.232628258
+10	70	0.702654507823531	0.1148590403	0.6513979871	1.237089478
+5	70	0.703419092000511	0.05763536056	0.6587751857	1.239774559
+0	70	0.703675631692083	0.000000000	0.6612387985	1.240671240
+
+45	75	0.669986086386917	0.4654705493	0.4654705493	1.124722458
+40	75	0.673144173085679	0.4238519702	0.5051271083	1.135348401
+35	75	0.675976003981305	0.3787088040	0.5408522235	1.144920917
+30	75	0.678462569115215	0.3304509435	0.5723578235	1.153362817
+25	75	0.680590050830462	0.2795061225	0.5994028139	1.160609500
+20	75	0.682347165632200	0.2263128051	0.6217893219	1.166607947
+15	75	0.683724395890005	0.1713159039	0.6393596575	1.171315904
+10	75	0.684708938147973	0.1149632592	0.6519890420	1.174699937
+5	75	0.685306191398243	0.05770785927	0.6596038498	1.176740319
+0	75	0.685507353930833	0.000000000	0.6621492573	1.177422359
+
+45	80	0.656919256946925	0.4609430597	0.4609430597	1.081276698
+40	80	0.659024491144676	0.4198004441	0.5002986875	1.088216157
+35	80	0.660919861885094	0.3751945117	0.5358332941	1.094481867
+30	80	0.662590077555975	0.3274986696	0.5672443351	1.100020481
+25	80	0.664023525870417	0.2771123117	0.5942692701	1.104785706
+20	80	0.665210835656620	0.2244552451	0.6166857176	1.108738331
+15	80	0.666142597478689	0.1699628317	0.6343099232	1.111845954
+10	80	0.666810569811638	0.1140831999	0.6469979776	1.114083200
+5	80	0.667214407768073	0.05727467410	0.6546525206	1.115432902
+0	80	0.667350357717173	0.000000000	0.6572118063	1.115884173
+
+45	85	0.644190387457063	0.4546422340	0.4546422340	1.039776041
+40	85	0.645233577584805	0.4138198115	0.4931712470	1.043146893
+35	85	0.646175125599522	0.3696826800	0.5279615825	1.046190653
+30	85	0.647006691392277	0.3225787569	0.5587227963	1.048881911
+25	85	0.647721341293444	0.2728823829	0.5851981586	1.051198205
+20	85	0.648312912237371	0.2209905079	0.6071664303	1.053120180
+15	85	0.648777675221078	0.1673196224	0.6244453320	1.054631888
+10	85	0.649114122295330	0.1123014225	0.6368930157	1.055720919
+5	85	0.649314040424985	0.05637772648	0.6444003624	1.056377726
+0	85	0.649380859297117	0.000000000	0.6469097691	1.056597271
+
+45	90	0.631749480443034	0.4467143416	0.4467143416	1.000000000
+40	90	0.631749595948114	0.4060808127	0.4839482674	1.000000000
+35	90	0.631749585548372	0.3623566759	0.5174989645	1.000000000
+30	90	0.631750334220061	0.3158751671	0.5471118383	1.000000000
+25	90	0.631750912810593	0.2669894726	0.5725607717	1.000000000
+20	90	0.631751621195753	0.2160717800	0.5936523366	1.000000000
+15	90	0.631752851650158	0.1635096698	0.6102263952	1.000000000
+10	90	0.631752411348144	0.1097026550	0.6221546727	1.000000000
+5	90	0.631752901878890	0.05506089340	0.6293488914	1.000000000
+0	90	0.631753690754721	0.000000000	0.6317536908	1.000000000
+
+45	95	0.619547899824721	0.4372506121	0.4372506121	0.9617455283
+40	95	0.618547011631565	0.3967044131	0.4727739096	0.9586376425
+35	95	0.617647165538924	0.3533615740	0.5046526275	0.9558486161
+30	95	0.616854913643522	0.3075459556	0.5326852208	0.9533960820
+25	95	0.616175458065676	0.2595922298	0.5566973334	0.9512952943
+20	95	0.615613337093422	0.2098441994	0.5765421994	0.9495590935
+15	95	0.615173600870228	0.1586531389	0.5921015752	0.9481978245
+10	95	0.614857191836769	0.1063747266	0.6032810529	0.9472197470
+5	95	0.614669458192516	0.05336965541	0.6100179527	0.9466303446
+0	95	0.614607575375828	0.000000000	0.6122688080	0.9464334203
+
+45	100	0.607543364327766	0.4262972873	0.4262972873	0.9248322864
+40	100	0.605603179030787	0.3857709189	0.4597438785	0.9189347500
+35	100	0.603867729529416	0.3428068530	0.4895789238	0.9136740265
+30	100	0.602346614863820	0.2977221085	0.5156698185	0.9090734979
+25	100	0.601047438365882	0.2508309398	0.5379086864	0.9051521854
+20	100	0.599975653009913	0.2024436089	0.5562092442	0.9019253033
+15	100	0.599137685764195	0.1528668757	0.5705069468	0.8994042326
+10	100	0.598537860635834	0.1024025675	0.5807538196	0.8975974325
+5	100	0.598179696772936	0.05134863214	0.5869175511	0.8965106003
+0	100	0.598060164868724	0.000000000	0.5889742871	0.8961479422
+
+45	105	0.595693748501948	0.4138562008	0.4138562008	0.8891075652
+40	105	0.592900662286013	0.3733258400	0.4449124110	0.8807860788
+35	105	0.590417346013884	0.3307754205	0.4723962574	0.8734218043
+30	105	0.588252533075019	0.2865133810	0.4962557329	0.8670286771
+25	105	0.586413791356093	0.2408296224	0.5164607920	0.8616147479
+20	105	0.584905468997578	0.1939945003	0.5329955091	0.8571842838
+15	105	0.583730045212706	0.1462610387	0.5458536276	0.8537389613
+10	105	0.582890569147187	0.09786786162	0.5550362243	0.8512784919
+5	105	0.582388346476579	0.04904141413	0.5605459285	0.8498021711
+0	105	0.582221259221055	0.000000000	0.5623825509	0.8493100497
+
+45	110	0.583969600259546	0.3998971725	0.3998971725	0.8544493324
+40	110	0.580426732004050	0.3593834532	0.4282965214	0.8441128148
+35	110	0.577304023322982	0.3173244673	0.4531863054	0.8350536742
+30	110	0.574604091898143	0.2740120065	0.4746027171	0.8272587379
+25	110	0.572325724604692	0.2297006664	0.4925946687	0.8207102030
+20	110	0.570467161233622	0.1846120596	0.5072174651	0.8153879404
+15	110	0.569026178354032	0.1389384875	0.5185254946	0.8112721543
+10	110	0.568000452124888	0.09284788769	0.5265665375	0.8083454540
+5	110	0.567387007391899	0.04648943300	0.5313766507	0.8065947160
+0	110	0.567182927206046	0.000000000	0.5329776113	0.8060120139
+
+45	115	0.572345712571233	0.3843547192	0.3843547192	0.8207724510
+40	115	0.568179938718523	0.3439344870	0.4098851604	0.8088674107
+35	115	0.564546330237937	0.3024936977	0.4320057714	0.7985524004
+30	115	0.561433131343629	0.2602932174	0.4508410774	0.7897693530
+25	115	0.558829126210601	0.2175419079	0.4665201270	0.7824580921
+20	115	0.556720707610700	0.1744012864	0.4791635964	0.7765623455
+15	115	0.555095154253157	0.1309945025	0.4888781390	0.7720323799
+10	115	0.553942096226508	0.08741439339	0.4957516600	0.7688272044
+5	115	0.553253886335494	0.04373116026	0.4998494490	0.7669163740
+0	115	0.553025093276736	0.000000000	0.5012109485	0.7662814964
+
+45	120	0.560814224181881	0.3671390904	0.3671390904	0.7880321473
+40	120	0.556172165914606	0.3269507483	0.3896447289	0.7750385109
+35	120	0.552170909560402	0.2863074595	0.4088894276	0.7639275789
+30	120	0.548782565036200	0.2454230241	0.4250851470	0.7545769759
+25	120	0.545974505333082	0.2044421091	0.4384275178	0.7468737546
+20	120	0.543719245728427	0.1634564565	0.4490929233	0.7407160798
+15	120	0.541992700155650	0.1225145363	0.4572304742	0.7360178626
+10	120	0.540774640372066	0.08163197947	0.4629579610	0.7327110966
+5	120	0.540049936321578	0.04080123611	0.4663602627	0.7307467768
+0	120	0.539809381212235	0.000000000	0.4674886373	0.7300953094
+
+45	125	0.549383389109759	0.3481372623	0.3481372623	0.7562316646
+40	125	0.544429756814233	0.3083895025	0.3675242975	0.7426567164
+35	125	0.540220776656986	0.2687829644	0.3838618549	0.7312170356
+30	125	0.536699863073830	0.2294580064	0.3974329252	0.7217144698
+25	125	0.533813439841251	0.1904811533	0.4084881514	0.7139735171
+20	125	0.531517281220000	0.1518642155	0.4172435029	0.7078429540
+15	125	0.529772288876295	0.1135766435	0.4238738043	0.7032003670
+10	125	0.528547822757580	0.07555860842	0.4285141623	0.6999511534
+5	125	0.527821783127860	0.03773037989	0.4312602155	0.6980283462
+0	125	0.527581214615469	0.000000000	0.4321692305	0.6973918470
+
+45	130	0.538079965744463	0.3272174053	0.3272174053	0.7254319959
+40	130	0.532998911494090	0.2882011477	0.3434647531	0.7117988523
+35	130	0.528749814427713	0.2499316243	0.3569393511	0.7004923222
+30	130	0.525242706781386	0.2124510875	0.3679760776	0.6912314090
+25	130	0.522402826175382	0.1757334218	0.3768615392	0.6837756215
+20	130	0.520165005555104	0.1397024880	0.3838294313	0.6779288658
+15	130	0.518477339111243	0.1042497008	0.3890651802	0.6735355508
+10	130	0.517299969368883	0.06924509777	0.3927084641	0.6704784726
+5	130	0.516604586707393	0.03454544796	0.3948562770	0.6686762436
+0	130	0.516374624050022	0.000000000	0.3955659113	0.6680807897
+
+45	135	0.526960389299915	0.3042407226	0.3042407226	0.6957592774
+40	135	0.521949730425011	0.2663371708	0.3174082801	0.6825917199
+35	135	0.517830105281391	0.2297677456	0.3281423479	0.6718576521
+30	135	0.514479990756349	0.1944551586	0.3368062145	0.6631937855
+25	135	0.511800887009006	0.1602682025	0.3436962694	0.6563037306
+20	135	0.509711372282854	0.1270422818	0.3490458005	0.6509541995
+15	135	0.508147867023128	0.09459517470	0.3530339981	0.6469660019
+10	135	0.507063306039822	0.06273591579	0.3557930587	0.6442069413
+5	135	0.506425258645354	0.03126962535	0.3574134532	0.6425865468
+0	135	0.506214664457668	0.000000000	0.3579478220	0.6420521780
+
+
+### -z patch
+# N_rho = 10
+# N_sigma = 10
+# ghosted_gfn=-1
+# dpx = dsigma = dnu
+# dpy = 180 - drho = 180 - dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+135	45	0.526960252845299	0.3042406438	0.3042406438	0.6957593562
+140	45	0.521949896527735	0.2663372555	0.3174083811	0.6825916189
+145	45	0.517830076360899	0.2297677328	0.3281423296	0.6718576704
+150	45	0.514480029237922	0.1944551731	0.3368062396	0.6631937604
+155	45	0.511800913663280	0.1602682109	0.3436962873	0.6563037127
+160	45	0.509711379671315	0.1270422836	0.3490458055	0.6509541945
+165	45	0.508147871098416	0.09459517546	0.3530340010	0.6469659990
+170	45	0.507063306226750	0.06273591582	0.3557930588	0.6442069412
+175	45	0.506425258497937	0.03126962534	0.3574134531	0.6425865469
+180	45	0.506214664342925	4.383596543e-17	0.3579478219	0.6420521781
+
+135	40	0.521949896527734	0.3174083811	0.2663372555	0.6825916189
+140	40	0.516115155567420	0.2790718273	0.2790718273	0.6674151473
+145	40	0.511244366096747	0.2416570774	0.2895918045	0.6548779266
+150	40	0.507233161383191	0.2051665551	0.2981815197	0.6446411026
+155	40	0.503989306324204	0.1695392155	0.3050781833	0.6364219790
+160	40	0.501435926847311	0.1346723555	0.3104746301	0.6299907441
+165	40	0.499512155922823	0.1004363911	0.3145228317	0.6251662854
+170	40	0.498170987578038	0.06668451727	0.3173363125	0.6218133096
+175	40	0.497379309432383	0.03325984997	0.3189936470	0.6198381752
+180	40	0.497117576834950	4.663628388e-17	0.3195410189	0.6191858427
+
+135	35	0.517830076360897	0.3281423296	0.2297677328	0.6718576704
+140	35	0.511244366096746	0.2895918045	0.2416570774	0.6548779266
+145	35	0.505674475492790	0.2515947006	0.2515947006	0.6406855299
+150	35	0.501032815564908	0.2142090932	0.2597917240	0.6289789672
+155	35	0.497242283372383	0.1774314330	0.2664310241	0.6194970640
+160	35	0.494234417774783	0.1412118190	0.2716639188	0.6120237158
+165	35	0.491952444771274	0.1054685355	0.2756114431	0.6063860669
+170	35	0.490353408280944	0.07009852197	0.2783664378	0.6024515268
+175	35	0.489406268160325	0.03498431669	0.2799937875	0.6001274305
+180	35	0.489092614621663	4.906439817e-17	0.2805319989	0.5993587849
+
+135	30	0.514480029237919	0.3368062396	0.1944551731	0.6631937604
+140	30	0.507233161383189	0.2981815197	0.2051665551	0.6446411026
+145	30	0.501032815564907	0.2597917240	0.2142090932	0.6289789672
+150	30	0.495814283844976	0.2217348886	0.2217348886	0.6159439072
+155	30	0.491513491358452	0.1840489873	0.2278768760	0.6053056729
+160	30	0.488075300138969	0.1467284075	0.2327489383	0.5968670135
+165	30	0.485451907199798	0.1097337940	0.2364434650	0.5904679054
+170	30	0.483605637152145	0.07300210198	0.2390319568	0.5859845063
+175	30	0.482508392156037	0.03645392307	0.2405646794	0.5833297527
+180	30	0.482144440071062	5.113504546e-17	0.2410722200	0.5824506666
+
+135	25	0.511800913663277	0.3436962873	0.1602682109	0.6563037127
+140	25	0.503989306324201	0.3050781833	0.1695392155	0.6364219790
+145	25	0.497242283372381	0.2664310241	0.1774314330	0.6194970640
+150	25	0.491513491358451	0.2278768760	0.1840489873	0.6053056729
+155	25	0.486756719161635	0.1894854445	0.1894854445	0.5936471530
+160	25	0.482929599871292	0.1512850920	0.1938218852	0.5843476258
+165	25	0.479993198841278	0.1132715172	0.1971245945	0.5772649428
+170	25	0.477918621105740	0.07541756916	0.1994464484	0.5722857112
+175	25	0.476682836839432	0.03767871143	0.2008245523	0.5693303577
+180	25	0.476272443546793	5.286180859e-17	0.2012814322	0.5683505757
+
+135	20	0.509711379671312	0.3490458055	0.1270422836	0.6509541945
+140	20	0.501435926847308	0.3104746301	0.1346723555	0.6299907441
+145	20	0.494234417774780	0.2716639188	0.1412118190	0.6120237158
+150	20	0.488075300138968	0.2327489383	0.1467284075	0.5968670135
+155	20	0.482929599871291	0.1938218852	0.1512850920	0.5843476258
+160	20	0.478765930542926	0.1549361129	0.1549361129	0.5743165283
+165	20	0.475558867189772	0.1161166784	0.1577277179	0.5666466567
+170	20	0.473285124175851	0.07736529767	0.1596957278	0.5612395939
+175	20	0.471926557229535	0.03866778367	0.1608656678	0.5580252102
+180	20	0.471474766296034	5.425691819e-17	0.1612538671	0.5569586412
+
+135	15	0.508147871098413	0.3530340010	0.09459517546	0.6469659990
+140	15	0.499512155922820	0.3145228317	0.1004363911	0.6251662854
+145	15	0.491952444771271	0.2756114431	0.1054685355	0.6063860669
+150	15	0.485451907199797	0.2364434650	0.1097337940	0.5904679054
+155	15	0.479993198841277	0.1971245945	0.1132715172	0.5772649428
+160	15	0.475558867189772	0.1577277179	0.1161166784	0.5666466567
+165	15	0.472129972043185	0.1182982111	0.1182982111	0.5585050657
+170	15	0.469691442644631	0.07886162437	0.1198393376	0.5527535035
+175	15	0.468233384067815	0.03942872044	0.1207572887	0.5493276632
+180	15	0.467748324575105	5.533078992e-17	0.1210621747	0.5481898131
+
+135	10	0.507063306226746	0.3557930588	0.06273591582	0.6442069412
+140	10	0.498170987578035	0.3173363125	0.06668451727	0.6218133096
+145	10	0.490353408280941	0.2783664378	0.07009852197	0.6024515268
+150	10	0.483605637152143	0.2390319568	0.07300210198	0.5859845063
+155	10	0.477918621105739	0.1994464484	0.07541756916	0.5722857112
+160	10	0.473285124175851	0.1596957278	0.07736529767	0.5612395939
+165	10	0.469691442644631	0.1198393376	0.07886162437	0.5527535035
+170	10	0.467133013299320	0.07992079213	0.07992079213	0.5467466646
+175	10	0.465602797893844	0.03996803456	0.08055264048	0.5431632745
+180	10	0.465093697773917	5.609223765e-17	0.08076267306	0.5419721206
+
+135	5	0.506425258497933	0.3574134531	0.03126962534	0.6425865469
+140	5	0.497379309432380	0.3189936470	0.03325984997	0.6198381752
+145	5	0.489406268160322	0.2799937875	0.03498431669	0.6001274305
+150	5	0.482508392156035	0.2405646794	0.03645392307	0.5833297527
+155	5	0.476682836839431	0.2008245523	0.03767871143	0.5693303577
+160	5	0.471926557229534	0.1608656678	0.03866778367	0.5580252102
+165	5	0.468233384067815	0.1207572887	0.03942872044	0.5493276632
+170	5	0.465602797893844	0.08055264048	0.03996803456	0.5431632745
+175	5	0.464029288618649	0.04029008258	0.04029008258	0.5394822488
+180	5	0.463505739958946	5.654708142e-17	0.04039718703	0.5382580393
+
+135	0	0.506214664342921	0.3579478219	4.383596543e-17	0.6420521781
+140	0	0.497117576834947	0.3195410189	4.663628388e-17	0.6191858427
+145	0	0.489092614621660	0.2805319989	4.906439817e-17	0.5993587849
+150	0	0.482144440071060	0.2410722200	5.113504546e-17	0.5824506666
+155	0	0.476272443546792	0.2012814322	5.286180859e-17	0.5683505757
+160	0	0.471474766296033	0.1612538671	5.425691819e-17	0.5569586412
+165	0	0.467748324575104	0.1210621747	5.533078992e-17	0.5481898131
+170	0	0.465093697773917	0.08076267306	5.609223765e-17	0.5419721206
+175	0	0.463505739958946	0.04039718703	5.654708142e-17	0.5382580393
+180	0	0.462977064252641	5.669833798e-17	5.669833798e-17	0.5370229357
+
+
diff --git a/test/misner1.2-025/h.t0.ah2.gp b/test/misner1.2-025/h.t0.ah2.gp
new file mode 100644
index 0000000..52923f2
--- /dev/null
+++ b/test/misner1.2-025/h.t0.ah2.gp
@@ -0,0 +1,845 @@
+# N_patches = 3
+
+### +z patch
+# N_rho = 16
+# N_sigma = 16
+# ghosted_gfn=-1
+# dpx = dsigma = dnu
+# dpy = drho = dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+0	0	1.93678738957900	0.000000000	0.000000000	1.936787390
+3	0	1.93271511585415	0.1011504937	0.000000000	1.930066397
+6	0	1.92050689283878	0.2007476342	0.000000000	1.909986155
+9	0	1.90012673835449	0.2972453098	0.000000000	1.876733025
+12	0	1.87153628167003	0.3891142727	0.000000000	1.830638724
+15	0	1.83466565176917	0.4748464121	0.000000000	1.772150936
+18	0	1.78940035726202	0.5529551201	0.000000000	1.701820870
+21	0	1.73558049340674	0.6219764227	0.000000000	1.620303977
+24	0	1.67297799742564	0.6804614546	0.000000000	1.528341450
+27	0	1.60125669348171	0.7269553265	0.000000000	1.426730161
+30	0	1.51993615006869	0.7599680750	0.000000000	1.316303318
+33	0	1.42830062491488	0.7779082741	0.000000000	1.197873696
+36	0	1.32537691878237	0.7790370066	0.000000000	1.072252451
+39	0	1.20986525500808	0.7613928754	0.000000000	0.9402418968
+42	0	1.08048464645938	0.7229853466	0.000000000	0.8029565740
+45	0	0.938244105069582	0.6634387691	0.000000000	0.6634387691
+
+0	3	1.93271511585415	0.000000000	0.1011504937	1.930066397
+3	3	1.92865944607657	0.1008002822	0.1008002822	1.923383962
+6	3	1.91649077565929	0.2000562869	0.09975340863	1.903408425
+9	3	1.89617941321218	0.2962312223	0.09801985904	1.870330328
+12	3	1.86767956206765	0.3878032060	0.09561645457	1.824470639
+15	3	1.83092236495248	0.4732715657	0.09256647327	1.766273529
+18	3	1.78579047675441	0.5511554125	0.08889836948	1.696281939
+21	3	1.73212129788191	0.6199951171	0.08464603164	1.615142500
+24	3	1.66968358353600	0.6783444913	0.07984779407	1.523586673
+27	3	1.59813750594018	0.7247495222	0.07454487903	1.422401026
+30	3	1.51699628363273	0.7577181196	0.06878029870	1.312406281
+33	3	1.42554609741146	0.7756591822	0.06259639654	1.194410399
+36	3	1.32280427869492	0.7768269261	0.05603494980	1.069210536
+39	3	1.20747168057022	0.7592570794	0.04913776489	0.9376044085
+42	3	1.07828876925365	0.7209694292	0.04196383497	0.8007176709
+45	3	0.936324258917750	0.6616270866	0.03467440632	0.6616270866
+
+0	6	1.92050689283879	0.000000000	0.2007476342	1.909986155
+3	6	1.91649077565929	0.09975340863	0.2000562869	1.903408425
+6	6	1.90444259038829	0.1979897581	0.1979897581	1.883746716
+9	6	1.88432722289296	0.2931981205	0.1945668664	1.851180078
+12	6	1.85609917380423	0.3838813573	0.1898203291	1.806019792
+15	6	1.81967826208707	0.4685588859	0.1837942594	1.748685569
+18	6	1.77494449335613	0.5457681282	0.1765437504	1.679701583
+21	6	1.72172653890021	0.6140625406	0.1681339429	1.599687610
+24	6	1.65977874008463	0.6720022249	0.1586382061	1.509341709
+27	6	1.58875589914666	0.7181379052	0.1481365365	1.409424997
+30	6	1.50815332642102	0.7509721126	0.1367113758	1.300721854
+33	6	1.41725444453038	0.7689106402	0.1244453648	1.184018555
+36	6	1.31505650469650	0.7701914803	0.1114186485	1.060077629
+39	6	1.20026305640083	0.7528427678	0.09771366209	0.9296833933
+42	6	1.07167360882856	0.7149121568	0.08345175258	0.7939903884
+45	6	0.930552768527180	0.6561904508	0.06896839552	0.6561904508
+
+0	9	1.90012673835449	0.000000000	0.2972453098	1.876733025
+3	9	1.89617941321219	0.09801985904	0.2962312223	1.870330328
+6	9	1.88432722289296	0.1945668664	0.2931981205	1.851180078
+9	9	1.86453749620038	0.2881731880	0.2881731880	1.819453902
+12	9	1.83675618321842	0.3773811277	0.2812018515	1.775438616
+15	9	1.80088945067545	0.4607437708	0.2723450801	1.719519162
+18	9	1.75680945008234	0.5368277814	0.2616805589	1.652186025
+21	9	1.70433369137910	0.6042090881	0.2493000373	1.574018488
+24	9	1.64319713051451	0.6614603166	0.2353060921	1.485664196
+27	9	1.57303504225336	0.7071362636	0.2198111624	1.387833060
+30	9	1.49332749189433	0.7397373806	0.2029320800	1.281262727
+33	9	1.40333269041304	0.7576547932	0.1847849203	1.166686071
+36	9	1.30203767666594	0.7591120772	0.1654845200	1.044828139
+39	9	1.18814866857932	0.7421254903	0.1451512077	0.9164486577
+42	9	1.06055650986960	0.7047855997	0.1239744240	0.7827437073
+45	9	0.920896392982722	0.6471263379	0.1024947428	0.6471263379
+
+0	12	1.87153628167003	0.000000000	0.3891142727	1.830638724
+3	12	1.86767956206766	0.09561645457	0.3878032060	1.824470639
+6	12	1.85609917380424	0.1898203291	0.3838813573	1.806019792
+9	12	1.83675618321842	0.2812018515	0.3773811277	1.775438616
+12	12	1.80958333038768	0.3683562402	0.3683562402	1.732979859
+15	12	1.77447936079670	0.4498847559	0.3568809295	1.678992767
+18	12	1.73129828751416	0.5243929702	0.3430483532	1.613915611
+21	12	1.67984015881257	0.5904870574	0.3269696746	1.538271376
+24	12	1.61982000662594	0.6467596462	0.3087694283	1.452645949
+27	12	1.55084484422539	0.6917717838	0.2885834887	1.357678570
+30	12	1.47236709931030	0.7240189704	0.2665539295	1.254037642
+33	12	1.38362660593326	0.7418813544	0.2428240007	1.142397105
+36	12	1.28358368928981	0.7435578256	0.2175345403	1.023419548
+39	12	1.17096680274998	0.7270604341	0.1908428169	0.8978448627
+42	12	1.04480903299922	0.6905516461	0.1630171304	0.7669353002
+45	12	0.907310523264682	0.6344394040	0.1348542583	0.6344394040
+
+0	15	1.83466565176917	0.000000000	0.4748464121	1.772150936
+3	15	1.83092236495248	0.09256647327	0.4732715657	1.766273529
+6	15	1.81967826208707	0.1837942594	0.4685588859	1.748685569
+9	15	1.80088945067545	0.2723450801	0.4607437708	1.719519162
+12	15	1.77447936079670	0.3568809295	0.4498847559	1.678992767
+15	15	1.74032820541016	0.4360615204	0.4360615204	1.627403749
+18	15	1.69827653969119	0.5085434250	0.4193768541	1.565135727
+21	15	1.64809778505104	0.5729703110	0.3999513320	1.492638692
+24	15	1.58947842118034	0.6279594184	0.3779208856	1.410419946
+27	15	1.52199642671589	0.6720833317	0.3534351153	1.319037807
+30	15	1.44507240201181	0.7038347587	0.3266508483	1.219077562
+33	15	1.35791400544612	0.7215776816	0.2977269732	1.111132191
+36	15	1.25946650060092	0.7234919580	0.2668241409	0.9958012506
+39	15	1.14849660062527	0.7075937592	0.2341354837	0.8738055212
+42	15	1.02425739029918	0.6721655620	0.2000282214	0.7465154851
+45	15	0.889757058916002	0.6181556832	0.1656343161	0.6181556832
+
+0	18	1.78940035726202	0.000000000	0.5529551201	1.701820870
+3	18	1.78579047675442	0.08889836948	0.5511554125	1.696281939
+6	18	1.77494449335614	0.1765437504	0.5457681282	1.679701583
+9	18	1.75680945008235	0.2616805589	0.5368277814	1.652186025
+12	18	1.73129828751417	0.3430483532	0.5243929702	1.613915611
+15	18	1.69827653969119	0.4193768541	0.5085434250	1.565135727
+18	18	1.65755862592166	0.4893806070	0.4893806070	1.506158638
+21	18	1.60889364985638	0.5517499813	0.4670258736	1.437357843
+24	18	1.55193724525142	0.6051340257	0.4416156692	1.359153275
+27	18	1.48623018212100	0.6481202166	0.4133003054	1.272007546
+30	18	1.41115962776823	0.6792025105	0.3822398381	1.176413257
+33	18	1.32589835285185	0.6967307631	0.3485970141	1.072871291
+36	18	1.22938167995318	0.6988703292	0.3125443127	0.9619124859
+39	18	1.12044714659750	0.6836614353	0.2743139612	0.8442515625
+42	18	0.998704242439867	0.6495948205	0.2344127096	0.7214481372
+45	18	0.868230571210008	0.5983426243	0.1944133037	0.5983426243
+
+0	21	1.73558049340675	0.000000000	0.6219764227	1.620303977
+3	21	1.73212129788192	0.08464603164	0.6199951171	1.615142500
+6	21	1.72172653890023	0.1681339429	0.6140625406	1.599687610
+9	21	1.70433369137912	0.2493000373	0.6042090881	1.574018488
+12	21	1.67984015881258	0.3269696746	0.5904870574	1.538271376
+15	21	1.64809778505105	0.3999513320	0.5729703110	1.492638692
+18	21	1.60889364985639	0.4670258736	0.5517499813	1.437357843
+21	21	1.56195006405823	0.5269379282	0.5269379282	1.372720235
+24	21	1.50688653704745	0.5783741836	0.4986584540	1.299049686
+27	21	1.44320711174196	0.6199440053	0.4670506795	1.216708618
+30	21	1.37026115080938	0.6501467401	0.4322643711	1.126087186
+33	21	1.28719179411412	0.6673256676	0.3944553869	1.027591415
+36	21	1.19294120154575	0.6696451370	0.3538026673	0.9216874597
+39	21	1.08647207115415	0.6552056826	0.3105888568	0.8091116344
+42	21	0.967965465694048	0.6228481673	0.2655352474	0.6917429694
+45	21	0.842800018741923	0.5751391838	0.2207752478	0.5751391838
+
+0	24	1.67297799742566	0.000000000	0.6804614546	1.528341450
+3	24	1.66968358353602	0.07984779407	0.6783444913	1.523586673
+6	24	1.65977874008465	0.1586382061	0.6720022249	1.509341709
+9	24	1.64319713051454	0.2353060921	0.6614603166	1.485664196
+12	24	1.61982000662596	0.3087694283	0.6467596462	1.452645949
+15	24	1.58947842118036	0.3779208856	0.6279594184	1.410419946
+18	24	1.55193724525143	0.4416156692	0.6051340257	1.359153275
+21	24	1.50688653704745	0.4986584540	0.5783741836	1.299049686
+24	24	1.45391201663250	0.5477816176	0.5477816176	1.230337657
+27	24	1.39248013035608	0.5876236232	0.5134716891	1.153276296
+30	24	1.32190418003947	0.6166973316	0.4755715150	1.068151111
+33	24	1.24130487986002	0.6333500946	0.4342197919	0.9752736205
+36	24	1.14966959215723	0.6357729361	0.3896046516	0.8750663748
+39	24	1.04620500828532	0.6222051860	0.3420956522	0.7683594150
+42	24	0.931938374931835	0.5920241420	0.2927420552	0.6575094212
+45	24	0.813666615087750	0.5487949065	0.2443392347	0.5487949065
+
+0	27	1.60125669348173	0.000000000	0.7269553265	1.426730161
+3	27	1.59813750594020	0.07454487903	0.7247495222	1.422401026
+6	27	1.58875589914668	0.1481365365	0.7181379052	1.409424997
+9	27	1.57303504225338	0.2198111624	0.7071362636	1.387833060
+12	27	1.55084484422541	0.2885834887	0.6917717838	1.357678570
+15	27	1.52199642671591	0.3534351153	0.6720833317	1.319037807
+18	27	1.48623018212101	0.4133003054	0.6481202166	1.272007546
+21	27	1.44320711174197	0.4670506795	0.6199440053	1.216708618
+24	27	1.39248013035609	0.5134716891	0.5876236232	1.153276296
+27	27	1.33348291296995	0.5512406468	0.5512406468	1.081870684
+30	27	1.26549319711943	0.5788928442	0.5108868089	1.002671818
+33	27	1.18764646559216	0.5948068249	0.4666856655	0.9159221899
+36	27	1.09904154276813	0.5972477551	0.4188508162	0.8220410121
+39	27	0.999332718114504	0.5847273225	0.3679171725	0.7220781079
+42	27	0.890718841175822	0.5573870304	0.3154171497	0.6190410116
+45	27	0.781231926396701	0.5197118806	0.2648064296	0.5197118806
+
+0	30	1.51993615006871	0.000000000	0.7599680750	1.316303318
+3	30	1.51699628363275	0.06878029870	0.7577181196	1.312406281
+6	30	1.50815332642104	0.1367113758	0.7509721126	1.300721854
+9	30	1.49332749189435	0.2029320800	0.7397373806	1.281262727
+12	30	1.47236709931031	0.2665539295	0.7240189704	1.254037642
+15	30	1.44507240201183	0.3266508483	0.7038347587	1.219077562
+18	30	1.41115962776824	0.3822398381	0.6792025105	1.176413257
+21	30	1.37026115080939	0.4322643711	0.6501467401	1.126087186
+24	30	1.32190418003948	0.4755715150	0.6166973316	1.068151111
+27	30	1.26549319711944	0.5108868089	0.5788928442	1.002671818
+30	30	1.20030807997670	0.5367940922	0.5367940922	0.9297546408
+33	30	1.12554816418642	0.5517407009	0.4905203535	0.8496061744
+36	30	1.04056621098251	0.5541591955	0.4403650831	0.7627346977
+39	30	0.945783252123784	0.5430431249	0.3871724824	0.6706024108
+42	30	0.844782651099116	0.5194740739	0.3330932355	0.5769344076
+45	30	0.746162497542133	0.4884780180	0.2820229152	0.4884780180
+
+0	33	1.42830062491490	0.000000000	0.7779082741	1.197873696
+3	33	1.42554609741148	0.06259639654	0.7756591822	1.194410399
+6	33	1.41725444453040	0.1244453648	0.7689106402	1.184018555
+9	33	1.40333269041306	0.1847849203	0.7576547932	1.166686071
+12	33	1.38362660593328	0.2428240007	0.7418813544	1.142397105
+15	33	1.35791400544614	0.2977269732	0.7215776816	1.111132191
+18	33	1.32589835285187	0.3485970141	0.6967307631	1.072871291
+21	33	1.28719179411413	0.3944553869	0.6673256676	1.027591415
+24	33	1.24130487986004	0.4342197919	0.6333500946	0.9752736205
+27	33	1.18764646559217	0.4666856655	0.5948068249	0.9159221899
+30	33	1.12554816418642	0.4905203535	0.5517407009	0.8496061744
+33	33	1.05439381321443	0.5043166419	0.5043166419	0.7765795276
+36	33	0.974064792305172	0.5068468680	0.4530363908	0.6976148655
+39	33	0.886076224363219	0.4978194092	0.3992270669	0.6147557729
+42	33	0.795196516780343	0.4792038406	0.3456210740	0.5322097826
+45	33	0.709412452576161	0.4558646611	0.2960419724	0.4558646611
+
+0	36	1.32537691878239	0.000000000	0.7790370066	1.072252451
+3	36	1.32280427869494	0.05603494980	0.7768269261	1.069210536
+6	36	1.31505650469652	0.1114186485	0.7701914803	1.060077629
+9	36	1.30203767666596	0.1654845200	0.7591120772	1.044828139
+12	36	1.28358368928983	0.2175345403	0.7435578256	1.023419548
+15	36	1.25946650060094	0.2668241409	0.7234919580	0.9958012506
+18	36	1.22938167995320	0.3125443127	0.6988703292	0.9619124859
+21	36	1.19294120154577	0.3538026673	0.6696451370	0.9216874597
+24	36	1.14966959215725	0.3896046516	0.6357729361	0.8750663748
+27	36	1.09904154276814	0.4188508162	0.5972477551	0.8220410121
+30	36	1.04056621098251	0.4403650831	0.5541591955	0.7627346977
+33	36	0.974064792305174	0.4530363908	0.5068468680	0.6976148655
+36	36	0.900269377933958	0.4561951710	0.4561951710	0.6278987855
+39	36	0.821810957639578	0.4503531239	0.4040592105	0.5561397921
+42	36	0.743746141748965	0.4379101188	0.3533528384	0.4863484583
+45	36	0.672152730627261	0.4227572955	0.3071511542	0.4227572955
+
+0	39	1.20986525500810	0.000000000	0.7613928754	0.9402418968
+3	39	1.20747168057025	0.04913776489	0.7592570794	0.9376044085
+6	39	1.20026305640086	0.09771366209	0.7528427678	0.9296833933
+9	39	1.18814866857935	0.1451512077	0.7421254903	0.9164486577
+12	39	1.17096680275000	0.1908428169	0.7270604341	0.8978448627
+15	39	1.14849660062529	0.2341354837	0.7075937592	0.8738055212
+18	39	1.12044714659753	0.2743139612	0.6836614353	0.8442515625
+21	39	1.08647207115418	0.3105888568	0.6552056826	0.8091116344
+24	39	1.04620500828535	0.3420956522	0.6222051860	0.7683594150
+27	39	0.999332718114519	0.3679171725	0.5847273225	0.7220781079
+30	39	0.945783252123794	0.3871724824	0.5430431249	0.6706024108
+33	39	0.886076224363223	0.3992270669	0.4978194092	0.6147557729
+36	39	0.821810957639578	0.4040592105	0.4503531239	0.5561397921
+39	39	0.756030238142866	0.4026812355	0.4026812355	0.4972699127
+42	39	0.692772586334457	0.3971819842	0.3572081124	0.4411152823
+45	39	0.635596277966663	0.3900207701	0.3158325923	0.3900207701
+
+0	42	1.08048464645941	0.000000000	0.7229853466	0.8029565740
+3	42	1.07828876925368	0.04196383497	0.7209694292	0.8007176709
+6	42	1.07167360882860	0.08345175258	0.7149121568	0.7939903884
+9	42	1.06055650986964	0.1239744240	0.7047855997	0.7827437073
+12	42	1.04480903299925	0.1630171304	0.6905516461	0.7669353002
+15	42	1.02425739029921	0.2000282214	0.6721655620	0.7465154851
+18	42	0.998704242439897	0.2344127096	0.6495948205	0.7214481372
+21	42	0.967965465694073	0.2655352474	0.6228481673	0.6917429694
+24	42	0.931938374931855	0.2927420552	0.5920241420	0.6575094212
+27	42	0.890718841175836	0.3154171497	0.5573870304	0.6190410116
+30	42	0.844782651099126	0.3330932355	0.5194740739	0.5769344076
+33	42	0.795196516780346	0.3456210740	0.4792038406	0.5322097826
+36	42	0.743746141748965	0.3533528384	0.4379101188	0.4863484583
+39	42	0.692772586334457	0.3572081124	0.3971819842	0.4411152823
+42	42	0.644583318271434	0.3584638004	0.3584638004	0.3981143828
+45	42	0.600761800164223	0.3583380640	0.3226490420	0.3583380640
+
+0	45	0.938244105069628	0.000000000	0.6634387691	0.6634387691
+3	45	0.936324258917796	0.03467440632	0.6616270866	0.6616270866
+6	45	0.930552768527222	0.06896839552	0.6561904508	0.6561904508
+9	45	0.920896392982764	0.1024947428	0.6471263379	0.6471263379
+12	45	0.907310523264724	0.1348542583	0.6344394040	0.6344394040
+15	45	0.889757058916036	0.1656343161	0.6181556832	0.6181556832
+18	45	0.868230571210035	0.1944133037	0.5983426243	0.5983426243
+21	45	0.842800018741943	0.2207752478	0.5751391838	0.5751391838
+24	45	0.813666615087764	0.2443392347	0.5487949065	0.5487949065
+27	45	0.781231926396709	0.2648064296	0.5197118806	0.5197118806
+30	45	0.746162497542138	0.2820229152	0.4884780180	0.4884780180
+33	45	0.709412452576162	0.2960419724	0.4558646611	0.4558646611
+36	45	0.672152730627261	0.3071511542	0.4227572955	0.4227572955
+39	45	0.635596277966663	0.3158325923	0.3900207701	0.3900207701
+42	45	0.600761800164224	0.3226490420	0.3583380640	0.3583380640
+45	45	0.568307554927487	0.3281125198	0.3281125198	0.3281125198
+
+
+### +x patch
+# N_rho = 16
+# N_sigma = 16
+# ghosted_gfn=-1
+# dpx = drho = dnu
+# dpy = dsigma = dphi
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+45	0	0.938183875770020	0.6633961806	0.000000000	0.6633961806
+45	3	0.936260418683211	0.6615819757	0.03467204216	0.6615819757
+45	6	0.930478832178362	0.6561383137	0.06896291569	0.6561383137
+45	9	0.920808417863471	0.6470645166	0.1024849513	0.6470645166
+45	12	0.907209802107666	0.6343689744	0.1348392880	0.6343689744
+45	15	0.889653544002778	0.6180837665	0.1656150461	0.6180837665
+45	18	0.868145690733340	0.5982841288	0.1943942974	0.5982841288
+45	21	0.842766476988395	0.5751162944	0.2207664614	0.5751162944
+45	24	0.813720783987952	0.5488314419	0.2443555013	0.5488314419
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+87	9	0.357337157235191	0.3524658679	0.05582510923	0.01847195341
+87	12	0.357319343758214	0.3490527309	0.07419344832	0.01829307848
+87	15	0.357296810540666	0.3446808617	0.09235695854	0.01806395852
+87	18	0.357269886694337	0.3393625760	0.1102655851	0.01778523898
+87	21	0.357239015070639	0.3331128810	0.1278700546	0.01745770635
+87	24	0.357204557010143	0.3259492445	0.1451219536	0.01708227606
+87	27	0.357166903921056	0.3178916512	0.1619738865	0.01665999549
+87	30	0.357126604680037	0.3089626548	0.1783796719	0.01619204662
+87	33	0.357084163987954	0.2991871251	0.1942943908	0.01567973282
+87	36	0.357040048152707	0.2885921882	0.2096744980	0.01512447570
+87	39	0.356994891009062	0.2772073159	0.2244780583	0.01452781983
+87	42	0.356949107839136	0.2650639295	0.2386646341	0.01389141191
+87	45	0.356903317693070	0.2521956470	0.2521956470	0.01321701380
+
+90	0	0.356487575650436	0.3564875757	0.000000000	0.000000000
+90	3	0.356487371610042	0.3559988181	0.01865710748	0.000000000
+90	6	0.356486759650037	0.3545338879	0.03726301316	0.000000000
+90	9	0.356485745177300	0.3520968141	0.05576665684	0.000000000
+90	12	0.356484344125354	0.3486943059	0.07411726274	0.000000000
+90	15	0.356482600958119	0.3443357509	0.09226448638	0.000000000
+90	18	0.356480616823820	0.3390332136	0.1101585688	0.000000000
+90	21	0.356478559782519	0.3328014059	0.1277504905	0.000000000
+90	24	0.356476462443999	0.3256574530	0.1449920397	0.000000000
+90	27	0.356474363415351	0.3176209835	0.1618359744	0.000000000
+90	30	0.356472421770144	0.3087141730	0.1782362109	0.000000000
+90	33	0.356470713973181	0.2989614961	0.1941478657	0.000000000
+90	36	0.356469263196398	0.2883896919	0.2095273758	0.000000000
+90	39	0.356468235783916	0.2770278498	0.2243327295	0.000000000
+90	42	0.356467561862068	0.2649070240	0.2385233558	0.000000000
+90	45	0.356467370147781	0.2520604947	0.2520604947	0.000000000
+
+
+### +y patch
+# N_rho = 16
+# N_sigma = 16
+# ghosted_gfn=-1
+# dpx = 90 - dsigma = 90 - dphi
+# dpy = drho = dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+45	45	0.568205241289046	0.3280534490	0.3280534490	0.3280534490
+42	45	0.600666493007340	0.3225978558	0.3582812159	0.3582812159
+39	45	0.635622509224008	0.3158456268	0.3900368664	0.3900368664
+36	45	0.672334746538845	0.3072343293	0.4228717762	0.4228717762
+33	45	0.709683441597744	0.2961550577	0.4560387972	0.4560387972
+30	45	0.746416976473360	0.2821190992	0.4886446135	0.4886446135
+27	45	0.781395533016659	0.2648618857	0.5198207193	0.5198207193
+24	45	0.813720783987962	0.2443555013	0.5488314419	0.5488314419
+21	45	0.842766476988409	0.2207664614	0.5751162944	0.5751162944
+18	45	0.868145690733356	0.1943942974	0.5982841288	0.5982841288
+15	45	0.889653544002795	0.1656150461	0.6180837665	0.6180837665
+12	45	0.907209802107683	0.1348392880	0.6343689744	0.6343689744
+9	45	0.920808417863501	0.1024849513	0.6470645166	0.6470645166
+6	45	0.930478832178403	0.06896291569	0.6561383137	0.6561383137
+3	45	0.936260418683265	0.03467204216	0.6615819757	0.6615819757
+0	45	0.938183875770073	0.000000000	0.6633961806	0.6633961806
+
+45	48	0.516288228310668	0.3079518773	0.3079518773	0.2772811158
+42	48	0.538528859360669	0.2994851031	0.3326119035	0.2994851031
+39	48	0.562160514870291	0.2898617820	0.3579494904	0.3222991688
+36	48	0.586996034526386	0.2788810634	0.3838468536	0.3456172594
+33	48	0.612673528556429	0.2662900031	0.4100506460	0.3692112600
+30	48	0.638659663654457	0.2518200551	0.4361651298	0.3927248469
+27	48	0.664311058476255	0.2352426949	0.4616897843	0.4157073490
+24	48	0.688957732611715	0.2164165657	0.4860795651	0.4376680063
+21	48	0.711971684718849	0.1953102504	0.5088005975	0.4581261157
+18	48	0.732810713393383	0.1720030192	0.5293708604	0.4766476636
+15	48	0.751036758859261	0.1466706987	0.5473824995	0.4928654163
+12	48	0.766316062520843	0.1195650512	0.5625093399	0.5064856846
+9	48	0.778408309115494	0.09099253162	0.5745042343	0.5172859361
+6	48	0.787147056084004	0.06129552956	0.5831880076	0.5251048407
+3	48	0.792427822998020	0.03083896572	0.5884425201	0.5298360250
+0	48	0.794194134609134	0.000000000	0.5902012616	0.5314196029
+
+45	51	0.479220056915094	0.2940636724	0.2940636724	0.2381280666
+42	51	0.495106956513205	0.2838558673	0.3152538787	0.2552875574
+39	51	0.511648585657595	0.2725172542	0.3365307824	0.2725172542
+36	51	0.528717607156177	0.2599542108	0.3577962759	0.2897377113
+33	51	0.546136881332561	0.2460653150	0.3789073573	0.3068331280
+30	51	0.563666559415157	0.2307465062	0.3996646724	0.3236420704
+27	51	0.581004644419940	0.2139043205	0.4198108665	0.3399561367
+24	51	0.597802203174190	0.1954736719	0.4390410555	0.3555284367
+21	51	0.613687527295709	0.1754343370	0.4570220730	0.3700891775
+18	51	0.628290347541026	0.1538214583	0.4734137699	0.3833629119
+15	51	0.641264800675883	0.1307298988	0.4878906242	0.3950860374
+12	51	0.652306694657635	0.1063121916	0.5001595377	0.4050212077
+9	51	0.661160197037075	0.08077120620	0.5099693255	0.4129650172
+6	51	0.667626508940542	0.05435161130	0.5171210386	0.4187563603
+3	51	0.671563163208652	0.02732909877	0.5214702693	0.4222782978
+0	51	0.672884814487528	0.000000000	0.5229297161	0.4234601346
+
+45	54	0.451512384335692	0.2839833058	0.2839833058	0.2063259489
+42	54	0.463181588747594	0.2727165805	0.3028824473	0.2200569790
+39	54	0.475159524752745	0.2603878353	0.3215521974	0.2336213464
+36	54	0.487333899146728	0.2469476102	0.3398942260	0.2469476102
+33	54	0.499572889198732	0.2323507640	0.3577888008	0.2599487798
+30	54	0.511722134163519	0.2165595593	0.3750921596	0.2725204059
+27	54	0.523604174569240	0.1995484496	0.3916358835	0.2845401249
+24	54	0.535021454178416	0.1813102205	0.4072294227	0.2958694943
+21	54	0.545762863979907	0.1618624260	0.4216660361	0.3063583078
+18	54	0.555612588135636	0.1412527593	0.4347312918	0.3158507718
+15	54	0.564360766342563	0.1195625899	0.4462136600	0.3241932006
+12	54	0.571812612379043	0.09690758366	0.4559143359	0.3312411542
+9	54	0.577797667431809	0.07343610047	0.4636572906	0.3368667400
+6	54	0.582176917897542	0.04932515458	0.4692974974	0.3409645902
+3	54	0.584846797804780	0.02477453504	0.4727262895	0.3434557534
+0	54	0.585743873284684	0.000000000	0.4738767478	0.3442916103
+
+45	57	0.430177398679265	0.2764297037	0.2764297037	0.1795155486
+42	57	0.438872174394804	0.2644745382	0.2937287319	0.1907496689
+39	57	0.447708279073768	0.2515335192	0.3106180276	0.2017177057
+36	57	0.456594315632435	0.2375852209	0.3270080026	0.2123614799
+33	57	0.465429601938664	0.2226150144	0.3427970611	0.2226150144
+30	57	0.474103992419955	0.2066172425	0.3578715617	0.2324045096
+27	57	0.482498423547019	0.1895977502	0.3721065363	0.2416488102
+24	57	0.490486593126570	0.1715766931	0.3853675622	0.2502606211
+21	57	0.497938297480270	0.1525914356	0.3975142803	0.2581487920
+18	57	0.504722594312658	0.1326985503	0.4084041438	0.2652207520
+15	57	0.510713441159973	0.1119755495	0.4178984401	0.2713864202
+12	57	0.515793876710284	0.09052090509	0.4258673756	0.2765615074
+9	57	0.519860703670998	0.06845306133	0.4321956196	0.2806711171
+6	57	0.522829244110633	0.04590825328	0.4367878532	0.2836533485
+3	57	0.524636531910214	0.02303703574	0.4395728278	0.2854619321
+0	57	0.525243387845785	0.000000000	0.4405061704	0.2860680519
+
+45	60	0.413400050601412	0.2706338606	0.2706338606	0.1562505323
+42	60	0.419914049921664	0.2582137096	0.2867753774	0.1655698414
+39	60	0.426485682495058	0.2448765267	0.3023973265	0.1745891778
+36	60	0.433043902440538	0.2306198856	0.3174210411	0.1832631235
+33	60	0.439513280863363	0.2154482352	0.3317611889	0.1915424117
+30	60	0.445814291927959	0.1993742124	0.3453262656	0.1993742124
+27	60	0.451864051603832	0.1824200904	0.3580195858	0.2067027042
+24	60	0.457577743935991	0.1646193001	0.3697410017	0.2134700669
+21	60	0.462870183367877	0.1460176322	0.3803889369	0.2196176551
+18	60	0.467658097020151	0.1266742272	0.3898631836	0.2250876140
+15	60	0.471862688311720	0.1066620241	0.3980680933	0.2298247208
+12	60	0.475411587001742	0.08606741259	0.4049153407	0.2337779810
+9	60	0.478241811629703	0.06498949902	0.4103275479	0.2369027202
+6	60	0.480301948227216	0.04353850433	0.4142411980	0.2391622671
+3	60	0.481553809603532	0.02183355043	0.4166089602	0.2405292953
+0	60	0.481973757555686	0.000000000	0.4174015180	0.2409868788
+
+45	63	0.400015519547153	0.2661089632	0.2661089632	0.1355892891
+42	63	0.404883230852707	0.2533646436	0.2813899440	0.1433753377
+39	63	0.409767466185249	0.2397622223	0.2960816866	0.1508611545
+36	63	0.414614529779423	0.2253123176	0.3101158004	0.1580118926
+33	63	0.419368597979896	0.2100316142	0.3234203239	0.1647908859
+30	63	0.423972252819668	0.1939437556	0.3359204385	0.1711600124
+27	63	0.428367329203145	0.1770802470	0.3475395531	0.1770802470
+24	63	0.432495430676630	0.1594810256	0.3582002483	0.1825121425
+21	63	0.436299451176965	0.1411952266	0.3678261407	0.1874167797
+18	63	0.439724501246597	0.1222813753	0.3763433756	0.1917565276
+15	63	0.442719377211987	0.1028074517	0.3836826331	0.1954960661
+12	63	0.445238065985548	0.08285055393	0.3897812106	0.1986034465
+9	63	0.447240852958180	0.06249608504	0.3945847516	0.2010509729
+6	63	0.448695379245741	0.04183662163	0.3980488658	0.2028160272
+3	63	0.449577831423323	0.02097048904	0.4001407678	0.2038819046
+0	63	0.449873621157131	0.000000000	0.4008403315	0.2042383501
+
+45	66	0.389247261494070	0.2625361672	0.2625361672	0.1168886326
+42	66	0.392846162070971	0.2495598618	0.2771643057	0.1234014994
+39	66	0.396442795995138	0.2357747876	0.2911576148	0.1296317221
+36	66	0.399997438776522	0.2212005500	0.3044564378	0.1355527395
+33	66	0.403469298046709	0.2058618493	0.3169994491	0.1411372480
+30	66	0.406817324731245	0.1897892165	0.3287245657	0.1463576062
+27	66	0.410000510884494	0.1730193347	0.3395695639	0.1511861105
+24	66	0.412978605736051	0.1555954460	0.3494730936	0.1555954460
+21	66	0.415712602081850	0.1375674932	0.3583755722	0.1595590849
+18	66	0.418165821393922	0.1189922979	0.3662206364	0.1630519325
+15	66	0.420304405322593	0.09993329318	0.3729561275	0.1660507663
+12	66	0.422098141883051	0.08046017547	0.3785353641	0.1685348025
+9	66	0.423521272267918	0.06064831399	0.3829183843	0.1704862488
+6	66	0.424553067626834	0.04057790079	0.3860729369	0.1718907461
+3	66	0.425178346974149	0.02033292621	0.3879753442	0.1727377524
+0	66	0.425387824511044	0.000000000	0.3886111148	0.1730208157
+
+45	69	0.380560078976235	0.2596998201	0.2596998201	0.09968942083
+42	69	0.383168804389720	0.2465542377	0.2738262220	0.1051120385
+39	69	0.385768145779042	0.2326405694	0.2872871777	0.1102792152
+36	69	0.388329385175897	0.2179846618	0.3000301474	0.1151707830
+33	69	0.390823330987623	0.2026166119	0.3120022218	0.1197664318
+30	69	0.393221075354549	0.1865712971	0.3231509658	0.1240460337
+27	69	0.395494001959885	0.1698883921	0.3334247431	0.1279897673
+24	69	0.397614427789655	0.1526126317	0.3427735829	0.1315784506
+21	69	0.399555891273232	0.1347937802	0.3511498027	0.1347937802
+18	69	0.401293630238298	0.1164865734	0.3585088093	0.1376186381
+15	69	0.402805165756853	0.09775054857	0.3648100137	0.1400374439
+12	69	0.404070634102821	0.07864965190	0.3700175204	0.1420364184
+9	69	0.405073100831392	0.05925174140	0.3741007720	0.1436038319
+6	69	0.405799042488268	0.03962800798	0.3770353105	0.1447302957
+3	69	0.406238606768143	0.01985223899	0.3788032857	0.1454089577
+0	69	0.406385799811053	0.000000000	0.3793938283	0.1456356458
+
+45	72	0.373575375015764	0.2574501264	0.2574501264	0.08365061685
+42	72	0.375408111681364	0.2441795624	0.2711888779	0.08811460783
+39	72	0.377230275906437	0.2301739914	0.2842412075	0.09235556679
+36	72	0.379021740666139	0.2154636375	0.2965602552	0.09635826804
+33	72	0.380762301461066	0.2000823127	0.3080997432	0.1001076750
+30	72	0.382432037964258	0.1840676244	0.3188144774	0.1035891032
+27	72	0.384011505614931	0.1674610186	0.3286607544	0.1067883525
+24	72	0.385481956856066	0.1503077841	0.3375968105	0.1096918531
+21	72	0.386825795996275	0.1326570751	0.3455834956	0.1122868844
+18	72	0.388026518049679	0.1145616511	0.3525845075	0.1145616511
+15	72	0.389069269540709	0.09607778385	0.3585671708	0.1165055362
+12	72	0.389941066790453	0.07726492989	0.3635029156	0.1181092569
+9	72	0.390630969742990	0.05818532596	0.3673676899	0.1193649982
+6	72	0.391130170583113	0.03890351922	0.3701422604	0.1202665108
+3	72	0.391432275459986	0.01948587559	0.3718126555	0.1208092551
+0	72	0.391533409590998	0.000000000	0.3723704005	0.1209904774
+
+45	75	0.368020736877802	0.2556811522	0.2556811522	0.06850955826
+42	75	0.369248348329717	0.2423180207	0.2691214264	0.07211086887
+39	75	0.370466985913992	0.2282463240	0.2818607365	0.07552435672
+36	75	0.371663180031452	0.2134993838	0.2938566919	0.07873866330
+33	75	0.372823592599613	0.1981135643	0.3050681365	0.08174276081
+30	75	0.373935042011234	0.1821282309	0.3154553494	0.08452600611
+27	75	0.374984866893622	0.1655858544	0.3249805374	0.08707827255
+24	75	0.375960827656546	0.1485318325	0.3336079580	0.08938998292
+21	75	0.376851544772228	0.1310145240	0.3413045038	0.09145226617
+18	75	0.377646484557927	0.1130850201	0.3480399048	0.09325701143
+15	75	0.378336091524117	0.09479695311	0.3537870454	0.09479695311
+12	75	0.378912061872123	0.07620629005	0.3585224067	0.09606578934
+9	75	0.379367469621785	0.05737101956	0.3622263617	0.09705826108
+6	75	0.379696827601667	0.03835078909	0.3648833845	0.09777020820
+3	75	0.379896078531768	0.01920651627	0.3664821623	0.09819859943
+0	75	0.379962769279889	0.000000000	0.3670158519	0.09834160112
+
+45	78	0.363698625607549	0.2543172743	0.2543172743	0.05405680541
+42	78	0.364462311586288	0.2408861727	0.2675311981	0.05686551160
+39	78	0.365219659769008	0.2267671156	0.2800340663	0.05952307829
+36	78	0.365962273673643	0.2119956141	0.2917869305	0.06202122668
+33	78	0.366681968936468	0.1966097750	0.3027525041	0.06435203132
+30	78	0.367370581673092	0.1806501045	0.3128951593	0.06650791923
+27	78	0.368020420416187	0.1641596473	0.3221814484	0.06848178091
+24	78	0.368623983274643	0.1471837093	0.3305800237	0.07026695319
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diff --git a/test/misner1.2-025/sf_radius[1]_2D.asc b/test/misner1.2-025/sf_radius[1]_2D.asc
new file mode 100644
index 0000000..14bca6b
--- /dev/null
+++ b/test/misner1.2-025/sf_radius[1]_2D.asc
@@ -0,0 +1,3913 @@
+#Parameter file misner1.2-025.par
+#Created May 12 2004 18:07:12
+#x-label x
+#y-label y
+#z-label SPHERICALSURFACE::sf_radius[1]
+
+#Time = 0.0000000000000
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diff --git a/test/misner1.2-025/sf_radius[2]_2D.asc b/test/misner1.2-025/sf_radius[2]_2D.asc
new file mode 100644
index 0000000..f7b8333
--- /dev/null
+++ b/test/misner1.2-025/sf_radius[2]_2D.asc
@@ -0,0 +1,3913 @@
+#Parameter file misner1.2-025.par
+#Created May 12 2004 18:07:12
+#x-label x
+#y-label y
+#z-label SPHERICALSURFACE::sf_radius[2]
+
+#Time = 0.0000000000000
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author	jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5>	2004-05-12 16:07:51 +0000
committer	jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5>	2004-05-12 16:07:51 +0000
commit	c4cd155f0318006ac36024aeb8abd019432c3f13 (patch)
tree	88137bf256a691a58e4f5f0fe63a2b08640ecda1 /test
parent	0452258629bd80957d718c4b02fbed2559a1352c (diff)