diff options
| author | diener <diener@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2012-05-17 00:00:36 +0000 |
|---|---|---|
| committer | diener <diener@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2012-05-17 00:00:36 +0000 |
| commit | cb577890fa114b5258a5c85f1968bb9147bcf2d4 (patch) | |
| tree | f4f02c1d440aa72de4e38711838006144bb469ff | |
| parent | 3fad32303fe0161cea296d14be33ce6277b3e001 (diff) | |
Add new versions of tests that uses torn EinsteinExact/KerrSchild instead
of the not so exact thorn Exact.
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1566 f88db872-0e4f-0410-b76b-b9085cfa78c5
52 files changed, 23952 insertions, 0 deletions
diff --git a/test/Kerr-Cartoon-EE.par b/test/Kerr-Cartoon-EE.par new file mode 100644 index 0000000..1207538 --- /dev/null +++ b/test/Kerr-Cartoon-EE.par @@ -0,0 +1,68 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. + +# flesh +cactus::cctk_itlast = 0 + +# create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 19 +driver::global_ny = 7 +driver::global_nz = 19 + +ActiveThorns = "Boundary CartGrid3D CoordBase Cartoon2D SymBase LoopControl" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byrange" +grid::xmin = -0.6 +grid::ymin = -0.6 +grid::zmin = -0.6 +grid::xmax = 3.0 +grid::ymax = 0.6 +grid::zmax = 3.0 +Cartoon2D::cartoon_active = yes + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +AHFinderDirect::N_horizons = 1 +AHFinderDirect::origin_x[1] = 0.5 +AHFinderDirect::origin_y[1] = 0.7 +AHFinderDirect::origin_z[1] = 0.0 + +AHFinderDirect::patch_system_type[1] = "+z hemisphere" +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/Kerr-Cartoon-EE/BH_diagnostics.ah1.gp b/test/Kerr-Cartoon-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..6920b6e --- /dev/null +++ b/test/Kerr-Cartoon-EE/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 +0 0.000 0.000027 0.000038 0.000000 1.036664617 2.756947260 1.996092616 1.199348354 4.954898709e-06 0.000000000 1.199314892 0.000000000 1.079359195 -1.895897765 1.896247889 -1.896288228 1.895985487 -1.798867642 1.798867642 12.56340089 10.83413287 11.22437388 0.8623566951 0.8934184288 45.21440344 0.9484260519 1.896852104 1.106261479e-16 -1.471093328 -1.470289852e-16 0.7355466639 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7074221101 0.7481142543 33.18938202 diff --git a/test/Kerr-Cartoon-EE/h.t0.ah1.gp b/test/Kerr-Cartoon-EE/h.t0.ah1.gp new file mode 100644 index 0000000..36a66e2 --- /dev/null +++ b/test/Kerr-Cartoon-EE/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 2.45752337314478 -0.9188517810 -0.7188517810 1.418851781 +-40 -45 2.43515915479516 -0.7425974416 -0.7808699651 1.480869965 +-35 -45 2.40946188401427 -0.5691086123 -0.8268453336 1.526845334 +-30 -45 2.38123631020242 -0.4000227271 -0.8588850913 1.558885091 +-25 -45 2.35105401827725 -0.2362222518 -0.8788337140 1.578833714 +-20 -45 2.31930167177992 -0.07807102711 -0.8882370938 1.588237094 +-15 -45 2.28622043395196 0.07440454759 -0.8883438519 1.588343852 +-10 -45 2.25193907612932 0.2213810217 -0.8801267461 1.580126746 +-5 -45 2.21649975408707 0.3631404818 -0.8643114511 1.564311451 +0 -45 2.17987731411669 0.5000000000 -0.8414060310 1.541406031 +5 -45 2.14199444374551 0.6322591293 -0.8117287653 1.511728765 +10 -45 2.10273433076920 0.7601587659 -0.7754336790 1.475433679 +15 -45 2.06194653691658 0.8838453441 -0.7325303265 1.432530327 +20 -45 2.01945590595756 1.003336398 -0.6829053884 1.382905388 +25 -45 1.97507397575763 1.118485751 -0.6263469730 1.326346973 +30 -45 1.92861126962292 1.228946542 -0.5625724470 1.262572447 +35 -45 1.87989088472251 1.334131284 -0.4912629306 1.191262931 +40 -45 1.82877352357780 1.433174859 -0.4121144911 1.112114491 +45 -45 1.77519542827452 1.524909558 -0.3249095584 1.024909558 + +-45 -40 2.40954973377370 -0.9652963537 -0.5295296300 1.465296354 +-40 -40 2.38560522189644 -0.7899353976 -0.5899353976 1.537285144 +-35 -40 2.35818329643542 -0.6146757230 -0.6357810892 1.591921912 +-30 -40 2.32807567561291 -0.4416641156 -0.6685799666 1.631010092 +-25 -40 2.29586939884434 -0.2723177693 -0.6897510454 1.656240801 +-20 -40 2.26198561842278 -0.1075091854 -0.7005561043 1.669117769 +-15 -40 2.22671298574367 0.05227712938 -0.7020721324 1.670924501 +-10 -40 2.19023232314861 0.2068183639 -0.6951841159 1.662715682 +-5 -40 2.15264006684122 0.3560525452 -0.6805932263 1.645326937 +0 -40 2.11396892681808 0.5000000000 -0.6588330334 1.619394149 +5 -40 2.07420594904807 0.6387025503 -0.6302895953 1.585377404 +10 -40 2.03330049068559 0.7721749461 -0.5952180996 1.543580823 +15 -40 1.99117593927926 0.9003636810 -0.5537638721 1.494177599 +20 -40 1.94774606866302 1.023112799 -0.5059880593 1.437240602 +25 -40 1.90292118755816 1.140132164 -0.4518890016 1.372767856 +30 -40 1.85662550703789 1.250971128 -0.3914337970 1.300720149 +35 -40 1.80881216661733 1.354996731 -0.3245925708 1.221061877 +40 -40 1.75947914440771 1.451378882 -0.2513788823 1.133809201 +45 -40 1.70870513338177 1.539098453 -0.1719071289 1.039098453 + +-45 -35 2.36034885424574 -0.9957230317 -0.3473165418 1.495723032 +-40 -35 2.33429395995251 -0.8222490945 -0.4033836138 1.575795109 +-35 -35 2.30477169773345 -0.6467225919 -0.4467225919 1.637689584 +-30 -35 2.27254069563430 -0.4715908150 -0.4783405136 1.682844656 +-25 -35 2.23819792852644 -0.2986582781 -0.4992651997 1.712728205 +-20 -35 2.20219236253338 -0.1292066643 -0.5104705494 1.728731102 +-15 -35 2.16485119354880 0.03588260936 -0.5128362567 1.732109683 +-10 -35 2.12640324480928 0.1960198052 -0.5071279336 1.723957352 +-5 -35 2.08699793470243 0.3508147496 -0.4939905438 1.705195215 +0 -35 2.04672682702942 0.5000000000 -0.4739542796 1.676580464 +5 -35 2.00563435075346 0.6433691227 -0.4474416957 1.638716571 +10 -35 1.96373372827928 0.7807257573 -0.4147828350 1.592074884 +15 -35 1.92102314600580 0.9118436651 -0.3762340287 1.537021483 +20 -35 1.87748819774338 1.036432741 -0.3319916683 1.473836844 +25 -35 1.83312387803917 1.154115323 -0.2822195105 1.402754836 +30 -35 1.78793883136759 1.264406530 -0.2270684415 1.323990947 +35 -35 1.74197653009148 1.366707902 -0.1667079015 1.237787162 +40 -35 1.69531983355080 1.460305409 -0.1013507110 1.144447421 +45 -35 1.64811819580052 1.544391527 -0.03129082012 1.044391527 + +-45 -30 2.31061433071971 -1.012652153 -0.1733301278 1.512652153 +-40 -30 2.28201542951836 -0.8415030417 -0.2230335868 1.598741069 +-35 -30 2.25007594716364 -0.6666922631 -0.2619863475 1.666209230 +-30 -30 2.21552545300718 -0.4908131038 -0.2908131038 1.716138637 +-25 -30 2.17896287301005 -0.3159204524 -0.3102169343 1.749747057 +-20 -30 2.14086401014382 -0.1436006224 -0.3209158816 1.768278177 +-15 -30 2.10159106344275 0.02494663746 -0.3235977360 1.772923285 +-10 -30 2.06141612352693 0.1888214311 -0.3188969934 1.764781360 +-5 -30 2.02053919114932 0.3473465303 -0.3073821942 1.744837143 +0 -30 1.97910278046484 0.5000000000 -0.2895513902 1.713953285 +5 -30 1.93720456441446 0.6463574672 -0.2658339682 1.672873505 +10 -30 1.89491515782409 0.7860446177 -0.2366004927 1.622239640 +15 -30 1.85228919152281 0.9187000145 -0.2021731467 1.562609727 +20 -30 1.80937162627730 1.043945201 -0.1628367893 1.494477158 +25 -30 1.76621465353427 1.161365403 -0.1188574366 1.418302684 +30 -30 1.72288138902366 1.270495981 -0.07049598061 1.334538185 +35 -30 1.67946394358397 1.370822868 -0.01802971224 1.243663943 +40 -30 1.63608183505533 1.461785240 0.03823476169 1.146211015 +45 -30 1.59290173883212 1.542798970 0.09793973373 1.042798970 + +-45 -25 2.26077356752092 -1.018206515 -0.007951324689 1.518206515 +-40 -25 2.22931087089424 -0.8494613914 -0.04992784861 1.608225461 +-35 -25 2.19472499216546 -0.6759716478 -0.08314578924 1.679461565 +-30 -25 2.15772734925985 -0.5003716607 -0.1079687345 1.732694543 +-25 -25 2.11891997428193 -0.3248566016 -0.1248566016 1.768910691 +-20 -25 2.07879833855177 -0.1512154111 -0.1343174928 1.789199637 +-15 -25 2.03776153681103 0.01911747607 -0.1368721008 1.794678012 +-10 -25 1.99611866914905 0.1850040757 -0.1330262968 1.786430659 +-5 -25 1.95411411236317 0.3455398516 -0.1232603768 1.765487575 +0 -25 1.91193223302848 0.5000000000 -0.1080174769 1.732799071 +5 -25 1.86971556881906 0.6477889866 -0.08770361152 1.689235846 +10 -25 1.82757898234941 0.7883996526 -0.06269080360 1.635595707 +15 -25 1.78561475881100 0.9213794973 -0.03331994321 1.572609693 +20 -25 1.74390732262139 1.046305672 8.969214499e-05 1.500962499 +25 -25 1.70253957027565 1.162767363 0.03723263689 1.421309197 +30 -25 1.66159895384942 1.270355210 0.07780832019 1.334294363 +35 -25 1.62119144975537 1.368662446 0.1215087257 1.240578541 +40 -25 1.58143606234850 1.457285472 0.1680136542 1.140848400 +45 -25 1.54248146512749 1.535842529 0.2169786960 1.035842529 + +-45 -20 2.21106025885437 -1.014114340 0.1489074490 1.514114340 +-40 -20 2.17652690963148 -0.8476425423 0.1154427513 1.606057841 +-35 -20 2.13916562079940 -0.6758268843 0.08880122938 1.679254821 +-30 -20 2.09967670733151 -0.5012748528 0.06878137555 1.734258917 +-25 -20 2.05866866884756 -0.3262385295 0.05509051616 1.771874244 +-20 -20 2.01665608168496 -0.1526213217 0.04737867828 1.793062345 +-15 -20 1.97406451587624 0.01799486812 0.04526572305 1.798867642 +-10 -20 1.93123796409590 0.1843112274 0.04836225248 1.790359997 +-5 -20 1.88845352729287 0.3452676346 0.05628259712 1.768599029 +0 -20 1.84592843739057 0.5000000000 0.06865529127 1.734605331 +5 -20 1.80383648988307 0.6477991821 0.08512601782 1.689352382 +10 -20 1.76231932256097 0.7880765780 0.1053587310 1.633763459 +15 -20 1.72149156743000 0.9203346767 0.1290361193 1.568710369 +20 -20 1.68145300250610 1.044144384 0.1558556162 1.495024407 +25 -20 1.64229497520392 1.159128594 0.1855259514 1.413505831 +30 -20 1.60410406799273 1.264950651 0.2177636825 1.324933393 +35 -20 1.56697476500807 1.361312952 0.2522866296 1.230082376 +40 -20 1.53100129583544 1.447951743 0.2888137650 1.129724896 +45 -20 1.49629504968943 1.524649501 0.3270580810 1.024649501 + +-45 -15 2.16157069571072 -1.001743871 0.2976089425 1.501743871 +-40 -15 2.12386634059829 -0.8373137123 0.2729563977 1.593748421 +-35 -15 2.08369955400218 -0.6673718613 0.2532805198 1.667179797 +-30 -15 2.04176503959189 -0.4944589641 0.2384699886 1.722453452 +-25 -15 1.99867785679866 -0.3208211347 0.2283406645 1.760256604 +-20 -15 1.95496871253318 -0.1484008077 0.2226574691 1.781466578 +-15 -15 1.91108116161200 0.02115413958 0.2211541396 1.787077080 +-10 -15 1.86738309379059 0.1864646644 0.2235468807 1.778147249 +-5 -15 1.82417070725848 0.3463913098 0.2295467683 1.755755363 +0 -15 1.78168413844461 0.5000000000 0.2388662126 1.720974724 +5 -15 1.74011096842566 0.6465302374 0.2512257568 1.674848277 +10 -15 1.69960267957801 0.7853648500 0.2663551840 1.618384486 +15 -15 1.66028113363904 0.9160047014 0.2839952986 1.552550682 +20 -15 1.62224093769805 1.038045610 0.3038992389 1.478268165 +25 -15 1.58556425263684 1.151162790 0.3258295557 1.396423109 +30 -15 1.55031976263280 1.255096378 0.3495585516 1.307865291 +35 -15 1.51657446145283 1.349645693 0.3748651437 1.213419803 +40 -15 1.48438589917235 1.434658448 0.4015360668 1.113882563 +45 -15 1.45382098812497 1.510037175 0.4293613547 1.010037175 + +-45 -10 2.11230510105301 -0.9821492382 0.4386570999 1.482149238 +-40 -10 2.07142703602558 -0.8195048157 0.4227214844 1.572524605 +-35 -10 2.02851865085803 -0.6515602853 0.4100129074 1.644598526 +-30 -10 1.98427337694078 -0.4807676164 0.4004664208 1.698739342 +-25 -10 1.93931038969040 -0.3093188934 0.3939686612 1.735589968 +-20 -10 1.89416329427471 -0.1391280233 0.3903716183 1.755989812 +-15 -10 1.84928614357409 0.02816422380 0.3895031590 1.760915090 +-10 -10 1.80505336664321 0.1911772647 0.3911772647 1.751420764 +-5 -10 1.76177017441444 0.3487670359 0.3952010596 1.728600690 +0 -10 1.71967765816412 0.5000000000 0.4013811085 1.693551890 +5 -10 1.67896683689977 0.6441250028 0.4095266339 1.647356320 +10 -10 1.63978182302812 0.7805467790 0.4194532210 1.591059847 +15 -10 1.60223499590397 0.9088019561 0.4309832734 1.525669671 +20 -10 1.56640459511847 1.028535779 0.4439485173 1.452140119 +25 -10 1.53235007953394 1.139484983 0.4581887104 1.371379971 +30 -10 1.50011446189216 1.241462191 0.4735520422 1.284250186 +35 -10 1.46972895923717 1.334343573 0.4898947453 1.191566111 +40 -10 1.44121402113043 1.418057362 0.5070809749 1.094098160 +45 -10 1.41459211946419 1.492582289 0.5249809619 0.9925822890 + +-45 -5 2.06319757509418 -0.9561172798 0.5726062453 1.456117280 +-40 -5 2.01923193582824 -0.7950320753 0.5649735725 1.543359128 +-35 -5 1.97373596221513 -0.6291923368 0.5589110756 1.612653785 +-30 -5 1.92740238436432 -0.4609468857 0.5543830960 1.664408829 +-25 -5 1.88083962730974 -0.2923901324 0.5513317282 1.699286123 +-20 -5 1.83457741156435 -0.1253526442 0.5496820291 1.718142269 +-15 -5 1.78905959365102 0.03860191688 0.5493479257 1.721961089 +-10 -5 1.74465258792656 0.1981625254 0.5502364349 1.711805382 +-5 -5 1.70165104713811 0.3522514356 0.5522514356 1.688773818 +0 -5 1.66028543023535 0.5000000000 0.5552965902 1.653967543 +5 -5 1.62072850674977 0.6407223358 0.5592776642 1.608463659 +10 -5 1.58310992645245 0.7738894296 0.5641034965 1.553304143 +15 -5 1.54751575082383 0.8991039782 0.5696877071 1.489476324 +20 -5 1.51400321879886 1.016078477 0.5759486025 1.417913962 +25 -5 1.48260277523434 1.124614556 0.5828097892 1.339490239 +30 -5 1.45332916222362 1.224587737 0.5901997347 1.255022775 +35 -5 1.42617897951160 1.315929995 0.5980521903 1.165268797 +40 -5 1.40114135282214 1.398620392 0.6063054086 1.070934081 +45 -5 1.37820076603274 1.472675605 0.6149019112 0.9726756054 + +-45 0 2.01413807263665 -0.9242106894 0.7000000000 1.424210689 +-40 0 1.96725462848681 -0.7645269003 0.7000000000 1.507004476 +-35 0 1.91941323989829 -0.6009302060 0.7000000000 1.572291279 +-30 0 1.87128951126762 -0.4356447556 0.7000000000 1.620584255 +-25 0 1.82347507161383 -0.2706338651 0.7000000000 1.652629657 +-20 0 1.77647198637865 -0.1075892034 0.7000000000 1.669337617 +-15 0 1.73069939444208 0.05206203537 0.7000000000 1.671727243 +-10 0 1.68649564124200 0.2071431053 0.7000000000 1.660873983 +-5 0 1.64412537429854 0.3567050318 0.7000000000 1.637868981 +0 0 1.60378911789171 0.5000000000 0.7000000000 1.603789118 +5 0 1.56563380221455 0.6364539769 0.7000000000 1.559676093 +10 0 1.52975608879908 0.7656393571 0.7000000000 1.506515656 +15 0 1.49621617763279 0.8872492424 0.7000000000 1.445233848 +20 0 1.46504240893255 1.001074015 0.7000000000 1.376689541 +25 0 1.43624002276497 1.106981262 0.7000000000 1.301675517 +30 0 1.40979646059515 1.204898230 0.7000000000 1.220919549 +35 0 1.38568197046109 1.294794527 0.7000000000 1.135084219 +40 0 1.36386348209338 1.376674548 0.7000000000 1.044780042 +45 0 1.34429896256725 1.450562912 0.7000000000 0.9505629124 + +-45 5 1.96498910008621 -0.8868059064 0.8213297953 1.386805906 +-40 5 1.91544060183670 -0.7284656228 0.8280858810 1.464028319 +-35 5 1.86557437258823 -0.5673121054 0.8333571899 1.524279656 +-30 5 1.81603541173391 -0.4054225456 0.8372030337 1.568237851 +-25 5 1.76737597242610 -0.2445883532 0.8396996999 1.596774876 +-20 5 1.72005501244750 -0.08631537892 0.8409344613 1.610888264 +-15 5 1.67444198472734 0.06816177349 0.8410004223 1.611642202 +-10 5 1.63082597817472 0.2178553495 0.8399925201 1.600121827 +-5 5 1.58942518533731 0.3619956250 0.8380043750 1.577397225 +0 5 1.55039542709245 0.5000000000 0.8351258650 1.544495704 +5 5 1.51384060406336 0.6314416233 0.8314416233 1.502384629 +10 5 1.47982417491111 0.7560202500 0.8270303014 1.451962989 +15 5 1.44837431931878 0.8735354244 0.8219638498 1.394053182 +20 5 1.41949273734348 0.9838626766 0.8163075848 1.329401778 +25 5 1.39316380220159 1.086934279 0.8101206354 1.258684622 +30 5 1.36935419296497 1.182720255 0.8034558843 1.182506169 +35 5 1.34802146176081 1.271215367 0.7963608617 1.101409689 +40 5 1.32911998476098 1.352429571 0.7888785087 1.015886003 +45 5 1.31259595857164 1.426374517 0.7810472684 0.9263745168 + +-45 10 1.91559900922038 -0.8441257188 0.9370056297 1.344125719 +-40 10 1.86371877759498 -0.6871940741 0.9494749596 1.414842803 +-35 10 1.81222551782991 -0.5287738461 0.9590668855 1.469241318 +-30 10 1.76171485527509 -0.3707635245 0.9659375277 1.508206666 +-25 10 1.71267576813547 -0.2147390458 0.9702674420 1.532762830 +-20 10 1.66549606544524 -0.06197119401 0.9722494165 1.544003166 +-15 10 1.62047442861825 0.08654434713 0.9720791441 1.543037503 +-10 10 1.57783081932401 0.2300522863 0.9699477137 1.530949561 +-5 10 1.53771881225779 0.3679999370 0.9660364396 1.508767624 +0 10 1.50023851518617 0.5000000000 0.9605136842 1.477446521 +5 10 1.46544592948199 0.6257960515 0.9535327099 1.437855448 +10 10 1.43336358077156 0.7452311216 0.9452311216 1.390774802 +15 10 1.40398894280811 0.8582205030 0.9357310323 1.336897118 +20 10 1.37730319341692 0.9647292396 0.9251401240 1.276833092 +25 10 1.35327352061940 1.064752210 0.9135522552 1.211115022 +30 10 1.33185794231738 1.158297972 0.9010489991 1.140205534 +35 10 1.31301426677518 1.245378941 0.8877020897 1.064511449 +40 10 1.29669646087313 1.325999272 0.8735740934 0.9843876004 +45 10 1.28285586974605 1.400146408 0.8587200984 0.9001464083 + +-45 15 1.86581305660300 -0.7962672598 1.047333765 1.296267260 +-40 15 1.81201581060172 -0.6409539028 1.064340140 1.359735913 +-35 15 1.75937134671965 -0.4856702228 1.077187513 1.407682964 +-30 15 1.70839376498731 -0.3320876599 1.086173227 1.441218103 +-25 15 1.65948108940261 -0.1815191083 1.091613759 1.461522444 +-20 15 1.61292640333062 -0.03495627624 1.093826442 1.469780289 +-15 15 1.56893468275600 0.1068833218 1.093116678 1.467131417 +-10 15 1.52763909956747 0.2435079929 1.089769200 1.454638457 +-5 15 1.48911643728356 0.3746053620 1.084042808 1.433267271 +0 15 1.45340079723915 0.5000000000 1.076167806 1.403877366 +5 15 1.42049513887766 0.6196162162 1.066345390 1.367219608 +10 15 1.39038290303120 0.7334465657 1.054748992 1.323941264 +15 15 1.36303408985674 0.8415256477 1.041525648 1.274591069 +20 15 1.33841141922841 0.9439084061 1.026798424 1.219628322 +25 15 1.31647461263192 1.040652503 1.010669145 1.159433034 +30 15 1.29718702425526 1.131805932 0.9932221536 1.094319975 +35 15 1.28051495802654 1.217395714 0.9745266108 1.024547259 +40 15 1.26642673571566 1.297418278 0.9546391103 0.9503260972 +45 15 1.25489620105881 1.371834857 0.9336074459 0.8718348573 + +-45 20 1.81548140974629 -0.7432254731 1.152497067 1.243225473 +-40 20 1.76027123611562 -0.5899090626 1.172762044 1.298903041 +-35 20 1.70702352064426 -0.4382930093 1.187727863 1.340021291 +-30 20 1.65613973781945 -0.2897649512 1.197879623 1.367913021 +-25 20 1.60789544380120 -0.1453224781 1.203697869 1.383898520 +-20 20 1.56246302784198 -0.005637374481 1.205637374 1.389227269 +-15 20 1.51993496078390 0.1288791753 1.204113979 1.385041774 +-10 20 1.48034455310021 0.2580162757 1.199497425 1.372357896 +-5 20 1.44368368145943 0.3817103055 1.192108647 1.352057395 +0 20 1.40991738633461 0.5000000000 1.182220147 1.324888964 +5 20 1.37899562655780 0.6129894128 1.170058421 1.291474898 +10 20 1.35086278376266 0.7208180567 1.155807724 1.252321430 +15 20 1.32546457357757 0.8236372071 1.139614350 1.207830500 +20 20 1.30275220526526 0.9215909067 1.121590907 1.158311497 +25 20 1.28268895357607 1.014802139 1.101821956 1.103996750 +30 20 1.26524918408380 1.103360596 1.080367533 1.045051208 +35 20 1.25041868105875 1.187312795 1.057267503 0.9815843982 +40 20 1.23819473512264 1.266654386 1.032546179 0.9136631183 +45 20 1.22858795121091 1.341326068 1.006217646 0.8413260685 + +-45 25 1.76447102751984 -0.6849180512 1.252536362 1.184918051 +-40 25 1.70844656922174 -0.5341683228 1.274711978 1.232473814 +-35 25 1.65521777757506 -0.3868943418 1.290632921 1.266616386 +-30 25 1.60503459110954 -0.2441306798 1.301010952 1.288872145 +-25 25 1.55802078373534 -0.1065088557 1.306508856 1.300662438 +-20 25 1.51420734900616 0.02565136165 1.307721132 1.303262173 +-15 25 1.47356110913370 0.1522606927 1.305165108 1.297780763 +-10 25 1.43600824005262 0.2733918580 1.299279314 1.285158636 +-5 25 1.40145297015103 0.3892241592 1.290426471 1.266173654 +0 25 1.36979185735223 0.5000000000 1.278899054 1.241453027 +5 25 1.34092415884755 0.6059914277 1.264925928 1.211487562 +10 25 1.31475930792606 0.7074745504 1.248679342 1.176646646 +15 25 1.29122472010135 0.8047105322 1.230282825 1.137195188 +20 25 1.27026736635439 0.8979307035 1.209816784 1.093305622 +25 25 1.25185640450955 0.9873246899 1.187324690 1.045071170 +30 25 1.23598384610277 1.073030329 1.162818578 0.9925176440 +35 25 1.22266412144074 1.155124604 1.136284392 0.9356148975 +40 25 1.21193577306838 1.233617081 1.107688492 0.8742907923 +45 25 1.20385710521254 1.308441733 1.076982571 0.8084417328 + +-45 30 1.71268073944433 -0.6212127328 1.347332473 1.121212733 +-40 30 1.65653743952127 -0.4738102491 1.370039157 1.160541863 +-35 30 1.60401821662628 -0.3317033234 1.385774019 1.187795444 +-30 30 1.55517976210053 -0.1954975331 1.395497533 1.204637064 +-25 30 1.50996772295842 -0.06541282229 1.400055509 1.212531710 +-20 30 1.46825717294464 0.05860286976 1.400169212 1.212728648 +-15 30 1.42988350108926 0.1767825211 1.396436876 1.206264053 +-10 30 1.39466608254909 0.2894698743 1.389342177 1.193975674 +-5 30 1.36242558269144 0.3970675781 1.379265851 1.176522966 +0 30 1.33299602029235 0.5000000000 1.366498010 1.154408417 +5 30 1.30623241287924 0.5986869797 1.351249567 1.127997339 +10 30 1.28201627495074 0.6935252107 1.333662710 1.097536009 +15 30 1.26025962929615 0.7848749145 1.313820132 1.063167655 +20 30 1.24090717699561 0.8730496788 1.291752600 1.024945569 +25 30 1.22393751035820 0.9583077847 1.267445373 0.9828442160 +30 30 1.20936417468814 1.040844101 1.240844101 0.9367694616 +35 30 1.19723684550938 1.120782141 1.211860723 0.8865687779 +40 30 1.18763958302896 1.198164479 1.180378533 0.8320400259 +45 30 1.18068809044026 1.272941792 1.146258152 0.7729417924 + +-45 35 1.66006013548067 -0.5519589823 1.436589609 1.051958982 +-40 35 1.60459331992924 -0.4089138303 1.458465732 1.083201323 +-35 35 1.55353037291663 -0.2729478705 1.472947871 1.103883961 +-30 35 1.50670018471370 -0.1441671488 1.481242718 1.115730230 +-25 35 1.46385256057642 -0.02234789004 1.484357545 1.120178665 +-20 35 1.42470126298971 0.09293677311 1.483110027 1.118397024 +-15 35 1.38895389673049 0.2022254185 1.478147547 1.111309868 +-10 35 1.35633173423977 0.3061054573 1.469969632 1.099630595 +-5 35 1.32658218015617 0.4051716863 1.458949759 1.083892585 +0 35 1.29948635419443 0.5000000000 1.445354752 1.064476904 +5 35 1.27486321939763 0.5911312778 1.429360870 1.041635272 +10 35 1.25257195571186 0.6790615529 1.411066727 1.015508530 +15 35 1.23251332803176 0.7642356534 1.390503281 0.9861408838 +20 35 1.21463149163511 0.8470424483 1.367641789 0.9534912904 +25 35 1.19891571710672 0.9278102263 1.342399798 0.9174419909 +30 35 1.18540118724349 1.006800564 1.314645206 0.8778043257 +35 35 1.17417042232539 1.084200054 1.284200054 0.8343241425 +40 35 1.16535416682072 1.160109017 1.250844373 0.7866872928 +45 35 1.15913110590869 1.234526631 1.214321084 0.7345266310 + +-45 40 1.60662763814010 -0.4770230458 1.519819677 0.9770230458 +-40 40 1.55273029186306 -0.3395864278 1.539586428 1.000580142 +-35 40 1.50391580337637 -0.2108770713 1.551885557 1.015237672 +-30 40 1.45976095423068 -0.09044666046 1.558133444 1.022683615 +-25 40 1.41981476079532 0.02238216621 1.559451783 1.024254750 +-20 40 1.38363752703242 0.1283917546 1.556708358 1.020985263 +-15 40 1.35082332241710 0.2283913556 1.550559434 1.013657261 +-10 40 1.32101152847774 0.3231711234 1.541488038 1.002846393 +-5 40 1.29389171093341 0.4134772127 1.529835958 0.9889599840 +0 40 1.26920559265975 0.5000000000 1.515829629 0.9722678914 +5 40 1.24674620755098 0.5833701584 1.499599244 0.9529252712 +10 40 1.22635710259649 0.6641585589 1.481192904 0.9309894504 +15 40 1.20793182234420 0.7428775987 1.460586370 0.9064315384 +20 40 1.19141433756753 0.8199822084 1.437689316 0.8791438923 +25 40 1.17680075050048 0.8958692646 1.412348914 0.8489443776 +30 40 1.16414208798223 0.9708742251 1.384351268 0.8155780818 +35 40 1.15354768936775 1.045263639 1.353421297 0.7787171786 +40 40 1.14519025800209 1.119222928 1.319222928 0.7379611492 +45 40 1.13931073261258 1.192838101 1.281360195 0.6928381012 + +-45 45 1.55249768043785 -0.3963349537 1.596334954 0.8963349537 +-40 45 1.50114289551933 -0.2659935975 1.612875622 0.9128756217 +-35 45 1.45538982042730 -0.1457748104 1.622262008 0.9222620082 +-30 45 1.41455586169515 -0.03465186081 1.626044187 0.9260441873 +-25 45 1.37800216147910 0.06848466841 1.625387615 0.9253876149 +-20 45 1.34515782239932 0.1647280630 1.621152076 0.9211520763 +-15 45 1.31552804251299 0.2551055252 1.613958622 0.9139586224 +-10 45 1.28869363425219 0.3405576299 1.604242615 0.9042426150 +-5 45 1.26430664366300 0.4219343933 1.592293968 0.8922939679 +0 45 1.24208483395234 0.5000000000 1.578286609 0.8782866089 +5 45 1.22180637236287 0.5754413941 1.562299080 0.8622990803 +10 45 1.20330572536256 0.6488778339 1.544328153 0.8443281528 +15 45 1.18647130664269 0.7208696874 1.524296895 0.8242968951 +20 45 1.17124513888971 0.7919253190 1.502058222 0.8020582222 +25 45 1.15762472245739 0.8625051034 1.477394703 0.7773947029 +30 45 1.14566841823260 0.9330219599 1.450016035 0.7500160354 +35 45 1.13550194796249 1.003836529 1.419553134 0.7195531343 +40 45 1.12732781540978 1.075245629 1.385551045 0.6855510448 +45 45 1.12143678541776 1.147461830 1.347461830 0.6474618299 + + +### +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 1.77519566273355 1.524909694 -0.3249096937 1.024909694 +45 -40 1.70870531216411 1.539098562 -0.1719072202 1.039098562 +45 -35 1.64811833508404 1.544391615 -0.03129088192 1.044391615 +45 -30 1.59290183988961 1.542799037 0.09793969553 1.042799037 +45 -25 1.54248153731719 1.535842578 0.2169786734 1.035842578 +45 -20 1.49629510333105 1.524649538 0.3270580676 1.024649538 +45 -15 1.45382103013778 1.510037204 0.4293613469 1.010037204 +45 -10 1.41459214925122 1.492582310 0.5249809582 0.9925823099 +45 -5 1.37820078312005 1.472675617 0.6149019102 0.9726756175 +45 0 1.34429897156595 1.450562919 0.7000000000 0.9505629187 +45 5 1.31259596519473 1.426374521 0.7810472688 0.9263745215 +45 10 1.28285588216118 1.400146417 0.8587200999 0.9001464171 +45 15 1.25489621674830 1.371834868 0.9336074489 0.8718348682 +45 20 1.22858796770049 1.341326080 1.006217650 0.8413260798 +45 25 1.20385712030036 1.308441743 1.076982576 0.8084417430 +45 30 1.18068809717101 1.272941797 1.146258154 0.7729417968 +45 35 1.15913110622335 1.234526631 1.214321084 0.7345266312 +45 40 1.13931079617978 1.192838140 1.281360228 0.6928381398 +45 45 1.12143682625737 1.147461854 1.347461854 0.6474618535 + +50 -45 1.78904120981915 1.587952460 -0.3879524604 0.9129005083 +50 -40 1.71920268560517 1.607855032 -0.2296007485 0.9296007485 +50 -35 1.65482485003580 1.617110762 -0.08220937658 0.9373672284 +50 -30 1.59562733041641 1.617869280 0.05459787039 0.9380037004 +50 -25 1.54122977896452 1.611843577 0.1815388255 0.9329475351 +50 -20 1.49121187445484 1.600364307 0.2995001455 0.9233152839 +50 -15 1.44515250565920 1.584441841 0.4094246845 0.9099547486 +50 -10 1.40265391844455 1.564825244 0.5122425798 0.8934944692 +50 -5 1.36335585859301 1.542053502 0.6088321318 0.8743867089 +50 0 1.32694294535618 1.516497270 0.7000000000 0.8529424840 +50 5 1.29314792947926 1.488391490 0.7864730505 0.8293589345 +50 10 1.26175311695091 1.457860348 0.8688966231 0.8037402646 +50 15 1.23259111812300 1.424935864 0.9478358177 0.7761133421 +50 20 1.20554735024952 1.389572634 1.023777960 0.7464400687 +50 25 1.18056125521963 1.351657207 1.097134278 0.7146252480 +50 30 1.15762896138679 1.311015096 1.168239784 0.6805224683 +50 35 1.13680748027931 1.267416486 1.237350808 0.6439388900 +50 40 1.11821963608000 1.220581268 1.304639476 0.6046394758 +50 45 1.10205884912519 1.170184471 1.370184471 0.5623515423 + +55 -45 1.80101472786033 1.641280114 -0.4412801137 0.7991329388 +55 -40 1.72853306492895 1.666868439 -0.2791188767 0.8170500770 +55 -35 1.66101071548737 1.680255706 -0.1264239424 0.8264239424 +55 -30 1.59839682407603 1.683632732 0.01662932329 0.8287885617 +55 -25 1.54050375122218 1.678834182 0.1503005933 0.8254285805 +55 -20 1.48706416865273 1.667352191 0.2751185495 0.8173888039 +55 -15 1.43777337898371 1.650370611 0.3917591237 0.8054981738 +55 -10 1.39231916992076 1.628807001 0.5009608697 0.7903991713 +55 -5 1.35040285356430 1.603355421 0.6034689088 0.7725777830 +55 0 1.31175257280712 1.574524802 0.7000000000 0.7523903661 +55 5 1.27613125257300 1.542671327 0.7912219209 0.7300863230 +55 10 1.24334187979145 1.508025350 0.8777420664 0.7058269488 +55 15 1.21323103373488 1.470713011 0.9601017674 0.6797005678 +55 20 1.18569181545257 1.430773512 1.038773853 0.6517346294 +55 25 1.16066593790997 1.388172249 1.114161521 0.6219049040 +55 30 1.13814557737248 1.342810959 1.186597134 0.5901425866 +55 35 1.11817540360368 1.294536055 1.256340135 0.5563401348 +55 40 1.10085549635897 1.243146637 1.323574069 0.5203568773 +55 45 1.08634237179544 1.188401336 1.388401336 0.4820238051 + +60 -45 1.81116148265641 1.685683513 -0.4856835129 0.6845546953 +60 -40 1.73662957189038 1.716653044 -0.3208931206 0.7024349625 +60 -35 1.66654801607490 1.734099538 -0.1641257994 0.7125077004 +60 -30 1.60106148938164 1.740176897 -0.01601646528 0.7160164653 +60 -25 1.54016071481814 1.736777235 0.1232813038 0.7140536697 +60 -20 1.48373017090210 1.725508799 0.2539512753 0.7075478350 +60 -15 1.43158789718149 1.707701899 0.3763972515 0.6972670164 +60 -10 1.38351693925988 1.684430876 0.4911528797 0.6838314854 +60 -5 1.33928935590624 1.656543671 0.5988155399 0.6677307998 +60 0 1.29868358385620 1.624692975 0.7000000000 0.6493417919 +60 5 1.26149658243732 1.589365701 0.7953071493 0.6289455809 +60 10 1.22755231668592 1.550909335 0.8853036700 0.6067427874 +60 15 1.19670754458284 1.509554479 0.9705093074 0.5828665503 +60 20 1.16885630444742 1.465434089 1.051389272 0.5573936312 +60 25 1.14393312935558 1.418599234 1.128349858 0.5303535151 +60 30 1.12191463191143 1.369031337 1.201735476 0.5017354764 +60 35 1.10282087628112 1.316652578 1.271826291 0.4714945858 +60 40 1.08671608659139 1.261334746 1.338835705 0.4395568208 +60 45 1.07370836132702 1.202907120 1.402907120 0.4058236150 + +65 -45 1.81956034827159 1.721912895 -0.5219128953 0.5697873407 +65 -40 1.74346601215154 1.757736850 -0.3553665266 0.5864923249 +65 -35 1.67134505848482 1.778957408 -0.1955356181 0.5963876338 +65 -30 1.60350040925850 1.787640169 -0.04341939811 0.6004364717 +65 -25 1.54007821441365 1.785683674 0.1004758568 0.5995241432 +65 -20 1.48110353155767 1.774770069 0.2360216394 0.5944350455 +65 -15 1.42651388802608 1.756345780 0.3633631627 0.5858436587 +65 -10 1.37618864693256 1.731622964 0.4828316415 0.5743152198 +65 -5 1.32997349310815 1.701593941 0.5948741520 0.5603124567 +65 0 1.28769981296566 1.667052368 0.7000000000 0.5442054566 +65 5 1.24919963292083 1.628617012 0.7987411940 0.5262827559 +65 10 1.21431688264562 1.586755483 0.8916243131 0.5067624042 +65 15 1.18291556995166 1.541806180 0.9791511247 0.4858022002 +65 20 1.15488571542565 1.493997862 1.061785635 0.4635088150 +65 25 1.13014764779433 1.443466615 1.139945708 0.4399457079 +65 30 1.10865460474186 1.390269933 1.213997586 0.4151396877 +65 35 1.09039419488707 1.334398454 1.284252087 0.3890863891 +65 40 1.07538858222637 1.275785612 1.350961421 0.3617547720 +65 45 1.06369455804209 1.214316565 1.414316565 0.3330912844 + +70 -45 1.82629162713482 1.750628213 -0.5506282135 0.4551914438 +70 -40 1.74903534072193 1.790612081 -0.3829521210 0.4697443814 +70 -35 1.67533530319147 1.815145895 -0.2208750695 0.4786739595 +70 -30 1.60561586664052 1.826182086 -0.06567158407 0.4826908043 +70 -25 1.54015101327668 1.825591609 0.08186648117 0.4824758884 +70 -20 1.47908797654560 1.815096302 0.2213440909 0.4786559091 +70 -15 1.42247274200857 1.796229260 0.3526764166 0.4717888675 +70 -10 1.37027500511820 1.770317589 0.4760087350 0.4623577904 +70 -5 1.32241101490704 1.738481542 0.5916469051 0.4507704170 +70 0 1.27876338012667 1.701644512 0.7000000000 0.4373628346 +70 5 1.23919757447712 1.660549410 0.8015349168 0.4224054406 +70 10 1.20357522910470 1.615778057 0.8967417760 0.4061100009 +70 15 1.17176445924884 1.567771166 0.9861084216 0.3886369213 +70 20 1.14364732394412 1.516847132 1.070102089 0.3701020888 +70 25 1.11912616943805 1.463220000 1.149156863 0.3505834092 +70 30 1.09812760571238 1.407014678 1.223665169 0.3301263448 +70 35 1.08060482284431 1.348279741 1.293971869 0.3087485760 +70 40 1.06653880598685 1.286998316 1.360369997 0.2864439614 +70 45 1.05593884508084 1.223097501 1.423097501 0.2631859668 + +75 -45 1.83143665084395 1.772384369 -0.5723843691 0.3409343642 +75 -40 1.75334788524290 1.815711526 -0.4040130560 0.3525438408 +75 -35 1.67847611077844 1.842958228 -0.2403494749 0.3598445727 +75 -30 1.60733449422309 1.855963490 -0.08286588572 0.3633293220 +75 -25 1.54029583334185 1.856554736 0.06742813787 0.3634877460 +75 -20 1.47760603541148 1.846469511 0.2099251765 0.3607854182 +75 -15 1.41940177558087 1.827301232 0.3443507067 0.3556492933 +75 -10 1.36573028679331 1.800466712 0.4706926312 0.3484590052 +75 -5 1.31656947864570 1.767191669 0.5891350944 0.3395429844 +75 0 1.27184701005591 1.728509874 0.7000000000 0.3291782287 +75 5 1.23145742895893 1.685271739 0.8036978403 0.3175926052 +75 10 1.19527690087095 1.638158710 0.9006880888 0.3049687071 +75 15 1.16317534359455 1.587700532 0.9914484792 0.2914484792 +75 20 1.13502597722821 1.534293199 1.076451938 0.2771380274 +75 25 1.11071307611972 1.478216685 1.156149931 0.2621123707 +75 30 1.09013761982020 1.419651022 1.230960765 0.2464197488 +75 35 1.07322111854617 1.358690286 1.301261411 0.2300853687 +75 40 1.05990812879802 1.295354620 1.367381768 0.2131146282 +75 45 1.05016779376350 1.229600494 1.429600494 0.1954958632 + +80 -45 1.83505874550116 1.787612722 -0.5876127224 0.2270408637 +80 -40 1.75641278535533 1.833381419 -0.4188398569 0.2351111197 +80 -35 1.68073489790657 1.862636787 -0.2541285498 0.2402696304 +80 -30 1.60859776840776 1.877122904 -0.09508227917 0.2428239237 +80 -25 1.54044389152498 1.878623545 0.05713728333 0.2430885272 +80 -20 1.47659130589101 1.868878437 0.2017689946 0.2413702018 +80 -15 1.41724483078386 1.849519552 0.3383973258 0.2379567080 +80 -10 1.36251116802684 1.822027589 0.4668908668 0.2331091332 +80 -5 1.31241616427002 1.787706830 0.5873402504 0.2270574574 +80 0 1.26692267282780 1.747675271 0.7000000000 0.2199988134 +80 5 1.22594776090243 1.702866399 0.8052371736 0.2120978003 +80 10 1.18937838409428 1.654039009 0.9034882141 0.2034882141 +80 15 1.15708501680196 1.601791885 0.9952242458 0.1942756365 +80 20 1.12893255709068 1.546580342 1.080924092 0.1845403518 +80 25 1.10478980045525 1.488733987 1.161054230 0.1743404787 +80 30 1.08453672228347 1.428473475 1.236054411 0.1637149245 +80 35 1.06806962870622 1.365925357 1.306327463 0.1526860037 +80 40 1.05530486967694 1.301135084 1.372232154 0.1412617305 +80 45 1.04618137225438 1.234078104 1.434078104 0.1294377757 + +85 -45 1.83721224038097 1.796626422 -0.5966264221 0.1134401128 +85 -40 1.75824677732524 1.843880396 -0.4276495446 0.1175742998 +85 -35 1.68209748456526 1.874368673 -0.2623433051 0.1202416784 +85 -30 1.60937131999198 1.889773021 -0.1023858279 0.1215893842 +85 -25 1.54055213771445 1.891845871 0.05097161149 0.1217707351 +85 -20 1.47600180572035 1.882324385 0.1968750698 0.1209377130 +85 -15 1.41596730781452 1.862861593 0.3348223369 0.1192349393 +85 -10 1.36059264362450 1.834976273 0.4646076644 0.1167952900 +85 -5 1.30993399506320 1.800021082 0.5862628930 0.1137371070 +85 0 1.26397656169303 1.759166749 0.7000000000 0.1101628160 +85 5 1.22265162748696 1.713399222 0.8061586763 0.1061586763 +85 10 1.18585272436997 1.663526246 0.9051610699 0.1017953562 +85 15 1.15345010555790 1.610190072 0.9974745333 0.09712904568 +85 20 1.12530306013670 1.553883440 1.083582203 0.09220285367 +85 25 1.10127026997462 1.494966960 1.163960713 0.08704832962 +85 30 1.08121804489082 1.433686123 1.239063935 0.08168695109 +85 35 1.06502653928659 1.370186850 1.309311392 0.07613148453 +85 40 1.05259433688324 1.304529212 1.375080165 0.07038718552 +85 45 1.04384170811608 1.236699174 1.436699174 0.06445282612 + +90 -45 1.83792460187525 1.799608949 -0.5996089493 0.000000000 +90 -40 1.75885497270557 1.847361078 -0.4305701837 0.000000000 +90 -35 1.68255051922671 1.878264697 -0.2650713308 0.000000000 +90 -30 1.60962937610688 1.893979930 -0.1048146881 0.000000000 +90 -25 1.54058908989830 1.896247889 0.04891891677 0.000000000 +90 -20 1.47580621526390 1.886804210 0.1952445467 0.000000000 +90 -15 1.41554199656308 1.867308573 0.3336307721 0.000000000 +90 -10 1.35995313472522 1.839292391 0.4638466164 0.000000000 +90 -5 1.30910618805203 1.804124644 0.5859038778 0.000000000 +90 0 1.26299401172462 1.762994012 0.7000000000 0.000000000 +90 5 1.22155274482412 1.716904368 0.8064653368 0.000000000 +90 10 1.18467812688756 1.666680204 0.9057171979 0.000000000 +90 15 1.15224027964735 1.612978644 0.9982217289 0.000000000 +90 20 1.12409647786257 1.556305165 1.084463638 0.000000000 +90 25 1.10010185293401 1.497030876 1.164923133 0.000000000 +90 30 1.08011797753788 1.435409608 1.240058989 0.000000000 +90 35 1.06401945271609 1.371593710 1.310296486 0.000000000 +90 40 1.05169880614509 1.305648026 1.376018962 0.000000000 +90 45 1.04307000782236 1.237561876 1.437561876 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 1.12143685102498 1.147461868 1.347461868 0.6474618678 +40 45 1.12732790186569 1.075245673 1.385551097 0.6855510973 +35 45 1.13550199130557 1.003836548 1.419553162 0.7195531617 +30 45 1.14566844174008 0.9330219688 1.450016051 0.7500160508 +25 45 1.15762474326641 0.8625051099 1.477394717 0.7773947168 +20 45 1.17124515095969 0.7919253220 1.502058230 0.8020582304 +15 45 1.18647131480424 0.7208696889 1.524296901 0.8242969008 +10 45 1.20330573285822 0.6488778348 1.544328158 0.8443281581 +5 45 1.22180638092467 0.5754413946 1.562299086 0.8622990863 +0 45 1.24208484525701 0.5000000000 1.578286617 0.8782866169 +-5 45 1.26430665936130 0.4219343923 1.592293979 0.8922939790 +-10 45 1.28869365662453 0.3405576271 1.604242631 0.9042426307 +-15 45 1.31552808343877 0.2551055176 1.613958651 0.9139586508 +-20 45 1.34515788480539 0.1647280474 1.621152119 0.9211521191 +-25 45 1.37800225580799 0.06848463887 1.625387678 0.9253876783 +-30 45 1.41455599970725 -0.03465191297 1.626044278 0.9260442776 +-35 45 1.45539000818646 -0.1457748937 1.622262127 0.9222621272 +-40 45 1.50114312138923 -0.2659937127 1.612875759 0.9128757591 +-45 45 1.55249795631403 -0.3963351130 1.596335113 0.8963351130 + +45 50 1.10205890164476 1.170184503 1.370184503 0.5623515691 +40 50 1.10581618847656 1.097932731 1.412588480 0.5979327307 +35 50 1.11224641365279 1.025741183 1.450836222 0.6300263971 +30 50 1.12107906267649 0.9534560174 1.485408861 0.6590362857 +25 50 1.13211748111715 0.8808380599 1.516709855 0.6853009382 +20 50 1.14523368747239 0.8075793139 1.545067220 0.7090955923 +15 50 1.16036318843762 0.7333130228 1.570736055 0.7306343028 +10 50 1.17750064991561 0.6576186980 1.593900056 0.7500712074 +5 50 1.19669675629555 0.5800233420 1.614670984 0.7675000857 +0 50 1.21805666403344 0.5000000000 1.633085539 0.7829517315 +-5 50 1.24173991611805 0.4169646133 1.649098813 0.7963884643 +-10 50 1.26796150767164 0.3302723299 1.662573450 0.8076950268 +-15 50 1.29699406276043 0.2392147490 1.673263807 0.8166653012 +-20 50 1.32916927767818 0.1430204779 1.680793176 0.8229831924 +-25 50 1.36487840936198 0.04086245103 1.684623651 0.8261973426 +-30 50 1.40456985758365 -0.06812286929 1.684017675 0.8256888678 +-35 50 1.44874075627235 -0.1847967045 1.677991049 0.8206319281 +-40 50 1.49791829734811 -0.3099486942 1.665259266 0.8099486942 +-45 50 1.55262490985897 -0.4441828850 1.644182885 0.7922635105 + +45 55 1.08634240368665 1.188401357 1.388401357 0.4820238193 +40 55 1.08811696142302 1.116358390 1.434547326 0.5143355746 +35 55 1.09286236796273 1.043745816 1.476549503 0.5437458159 +30 55 1.10034533777913 0.9704362063 1.514819411 0.5705426939 +25 55 1.11039283200766 0.8962225217 1.549701940 0.5949677035 +20 55 1.12289059932865 0.8208303963 1.581474269 0.6172149281 +15 55 1.13778140693554 0.7439262982 1.610345338 0.6374306681 +10 55 1.15506249294052 0.6651220776 1.636453837 0.6557120357 +5 55 1.17478405444707 0.5839773008 1.659864941 0.6721046670 +0 55 1.19704830356197 0.5000000000 1.680564565 0.6865987001 +-5 55 1.22200905067991 0.4126469062 1.698450430 0.6991225179 +-10 55 1.24987155949210 0.3213244825 1.713319214 0.7095337522 +-15 55 1.28089216534634 0.2253925206 1.724849065 0.7176070409 +-20 55 1.31537657500038 0.1241728374 1.732576643 0.7230179491 +-25 55 1.35367583695532 0.01696657418 1.735868525 0.7253229495 +-30 55 1.39617813905375 -0.09691509975 1.733887281 0.7239356675 +-35 55 1.44329383966190 -0.2181004758 1.725553763 0.7181004758 +-40 55 1.49543047685885 -0.3470790859 1.709509544 0.7068661925 +-45 55 1.55295411892591 -0.4840872626 1.684087263 0.6890653195 + +45 60 1.07370838040676 1.202907133 1.402907133 0.4058236222 +40 60 1.07371262732802 1.131191506 1.452224745 0.4342971589 +35 60 1.07690672292732 1.058389482 1.497462825 0.4604153768 +30 60 1.08310348317325 0.9843786030 1.538968351 0.4843786030 +25 60 1.09216418161945 0.9089647897 1.577027822 0.5063522490 +20 60 1.10399918024164 0.8318914962 1.611864392 0.5264651519 +15 60 1.11856798576854 0.7528462802 1.643635164 0.5448080160 +10 60 1.13587861672697 0.6714651779 1.672427346 0.5614311901 +5 60 1.15598691676541 0.5873358035 1.698252802 0.5763415240 +0 60 1.17899576154509 0.5000000000 1.721040280 0.5894978808 +-5 60 1.20505415763940 0.4089571243 1.740624831 0.6008050261 +-10 60 1.23435583464135 0.3136693132 1.756733837 0.6101055650 +-15 60 1.26713666688021 0.2135705681 1.768969193 0.6171696511 +-20 60 1.30366993143696 0.1080821690 1.776785391 0.6216823353 +-25 60 1.34425867241128 -0.003362474770 1.779464311 0.6232290103 +-30 60 1.38922335835377 -0.1212795730 1.776087786 0.6212795730 +-35 60 1.43888296980546 -0.2460786515 1.765510739 0.6151729120 +-40 60 1.49352748217342 -0.3779833976 1.746339868 0.6041046047 +-45 60 1.55337992082614 -0.5169258672 1.716925867 0.5871224232 + +45 65 1.06369457514154 1.214316576 1.414316576 0.3330912898 +40 65 1.06217808780333 1.142964756 1.466255558 0.3573108348 +35 65 1.06400629961654 1.070112996 1.514205739 0.3796703716 +30 65 1.06903950746349 0.9956311221 1.558458285 0.4003056727 +25 65 1.07717782527182 0.9193255295 1.599246500 0.4193255295 +20 65 1.08836206249542 0.8409460816 1.636741660 0.4368098100 +15 65 1.10257478948176 0.7601918517 1.671049210 0.4528076832 +10 65 1.11984046310356 0.6767155366 1.702203610 0.4673352183 +5 65 1.14022503139944 0.5901274529 1.730161500 0.4803721968 +0 65 1.16383499739767 0.5000000000 1.754792721 0.4918579236 +-5 65 1.19081576558548 0.4058736751 1.775868817 0.5016858686 +-10 65 1.22134885241526 0.3072660125 1.793048759 0.5096970072 +-15 65 1.25564735088572 0.2036852172 1.805861825 0.5156718377 +-20 65 1.29394897750720 0.09465066923 1.813688133 0.5193213054 +-25 65 1.33650572739909 -0.02027711555 1.815737875 0.5202771155 +-30 65 1.38356899650075 -0.1414541741 1.811031220 0.5180823664 +-35 65 1.43536903344680 -0.2690955785 1.798382317 0.5121840862 +-40 65 1.49208780248178 -0.4032005847 1.776392542 0.5019300853 +-45 65 1.55382497125067 -0.5434601805 1.743460180 0.4865734731 + +45 70 1.05593885454749 1.223097507 1.423097507 0.2631859691 +40 70 1.05316981092947 1.152092301 1.477133343 0.2828534048 +35 70 1.05385162144561 1.079266540 1.527278355 0.3011046967 +30 70 1.05788810471362 1.004476119 1.573778269 0.3180292813 +25 70 1.06521667695336 0.9275205010 1.616820673 0.3336954352 +20 70 1.07580958797896 0.8481487407 1.656530804 0.3481487407 +15 70 1.08967467225700 0.7660646498 1.692966791 0.3614103556 +10 70 1.10685542419984 0.6809315252 1.726113669 0.3734748327 +5 70 1.12743035634101 0.5923771559 1.755875723 0.3843073342 +0 70 1.15151152680366 0.5000000000 1.782066884 0.3938401374 +-5 70 1.17924198794979 0.4033776053 1.804399025 0.4019683719 +-10 70 1.21079166720624 0.3020785929 1.822468078 0.4085449693 +-15 70 1.24635106890774 0.1956798491 1.835738265 0.4133749223 +-20 70 1.28612277635608 0.08379063548 1.843525831 0.4162093645 +-25 70 1.33030942576111 -0.03391442748 1.844983185 0.4167397980 +-30 70 1.37909770625609 -0.1576516509 1.839086073 0.4145934248 +-35 70 1.43263790979249 -0.2874725329 1.824627328 0.4093308721 +-40 70 1.49101895631539 -0.4231958346 1.800221953 0.4004480418 +-45 70 1.55423947496686 -0.5643293267 1.764329327 0.3873841944 + +45 75 1.05016779832595 1.229600497 1.429600497 0.1954958641 +40 75 1.04642238030761 1.158890332 1.485234920 0.2104030627 +35 75 1.04619739026992 1.086121638 1.537068448 0.2242918147 +30 75 1.04943294487690 1.011135209 1.585312151 0.2372186758 +25 75 1.05609904460187 0.9337209287 1.630117533 0.2492242419 +20 75 1.06619637229374 0.8536233519 1.671572174 0.2603319795 +15 75 1.07975650788908 0.7705468216 1.709694484 0.2705468216 +10 75 1.09684148081582 0.6841606915 1.744427181 0.2798534198 +5 75 1.11754252071226 0.5941053610 1.775629198 0.2882139749 +0 75 1.14197780602972 0.5000000000 1.803065856 0.2955656053 +-5 75 1.17028891002591 0.4014530022 1.826397339 0.3018172573 +-10 75 1.20263551209440 0.2980763936 1.845165678 0.3068462186 +-15 75 1.23918797797996 0.1895055817 1.858780944 0.3104944183 +-20 75 1.28011756545046 0.07542580706 1.866508008 0.3125648787 +-25 75 1.32558356378706 -0.04439338548 1.867455383 0.3128187270 +-30 75 1.37571715885672 -0.1700546998 1.860568784 0.3109734684 +-35 75 1.43060206322709 -0.3014805158 1.844632801 0.3067034347 +-40 75 1.49025237669326 -0.4383523341 1.818284765 0.2996434998 +-45 75 1.55458865884273 -0.5800451705 1.780045171 0.2893972312 + +45 80 1.04618137510309 1.234078106 1.434078106 0.1294377761 +40 80 1.04173904601178 1.163590686 1.490836584 0.1394458271 +35 80 1.04085968830112 1.090880779 1.543865206 0.1487962039 +30 80 1.04351055060284 1.015776388 1.593350910 0.1575218686 +25 80 1.04968668223749 0.9380584297 1.639419334 0.1656449748 +20 80 1.05941118549112 0.8574662115 1.682130344 0.1731760783 +15 80 1.07273483852244 0.7737027349 1.721472513 0.1801131641 +10 80 1.08973501763013 0.6864404428 1.757356293 0.1864404428 +5 80 1.11051375609332 0.5953281475 1.789605712 0.1921268853 +0 80 1.13519471266209 0.5000000000 1.817948554 0.1971244932 +-5 80 1.16391876050412 0.4000874878 1.842005241 0.2013663360 +-10 80 1.19683772150976 0.2952355838 1.861276711 0.2047644162 +-15 80 1.23410600780443 0.1851242475 1.875132307 0.2072075315 +-20 80 1.27587022741876 0.06949624200 1.882799354 0.2085594389 +-25 80 1.32225596142501 -0.05180786796 1.883355792 0.2086575538 +-30 80 1.37335197902288 -0.1788072463 1.875728639 0.2073126811 +-35 80 1.42919222922275 -0.3113314662 1.858701416 0.2043103223 +-40 80 1.48973638258663 -0.4489662425 1.830933929 0.1994141650 +-45 80 1.55485009315973 -0.5909976404 1.790997640 0.1923723199 + +45 85 1.04384170946020 1.236699175 1.436699175 0.06445282620 +40 85 1.03898174657354 1.166349746 1.494124704 0.06947690899 +35 85 1.03770755506251 1.093681952 1.547865697 0.07417863664 +30 85 1.04000304401807 1.018515332 1.598094899 0.07857312240 +25 85 1.04587895125943 0.9406245746 1.644922450 0.08267000225 +20 85 1.05537265750207 0.8597450169 1.688391311 0.08647303482 +15 85 1.06854735708471 0.7755781328 1.728471593 0.08997960515 +10 85 1.08549049343187 0.6877976805 1.765053571 0.09318011351 +5 85 1.10631128786058 0.5960572409 1.797939287 0.09605724088 +0 85 1.13113712660635 0.5000000000 1.826832808 0.09858509642 +-5 85 1.16010851636149 0.3992717290 1.851329406 0.1007282710 +-10 85 1.19337227458345 0.2935379937 1.870904223 0.1024408456 +-15 85 1.23107272330684 0.1825066103 1.884901461 0.1036654453 +-20 85 1.27334076731053 0.06595616473 1.892525636 0.1043324742 +-25 85 1.32028064326570 -0.05622889827 1.892836722 0.1043596906 +-30 85 1.37195455741988 -0.1840167211 1.884751714 0.1036523441 +-35 85 1.42836573517118 -0.3171810583 1.867055499 0.1021041259 +-40 85 1.48944077441567 -0.4552511244 1.838423959 0.09959919072 +-45 85 1.55501251920205 -0.5974618364 1.797461836 0.09601546933 + +45 90 1.04307000868112 1.237561876 1.437561876 0.000000000 +40 90 1.03807085839663 1.167259086 1.495208413 0.000000000 +35 90 1.03666461701803 1.094606397 1.549185940 0.000000000 +30 90 1.03884080741252 1.019420404 1.599662530 0.000000000 +25 90 1.04461550257541 0.9414735879 1.646743164 0.000000000 +20 90 1.05403097991421 0.8604998268 1.690465134 0.000000000 +15 90 1.06715472444249 0.7761999668 1.730792309 0.000000000 +10 90 1.08407768322278 0.6882481141 1.767608107 0.000000000 +5 90 1.10491159747774 0.5962993909 1.800707075 0.000000000 +0 90 1.12978517700909 0.5000000000 1.829785177 0.000000000 +-5 90 1.15883883469165 0.3990005406 1.854429103 0.000000000 +-10 90 1.19221768495054 0.2929735716 1.874105219 0.000000000 +-15 90 1.23006257798067 0.1816363782 1.888149212 0.000000000 +-20 90 1.27249902994188 0.06477969940 1.895757948 0.000000000 +-25 90 1.31962397751197 -0.05769719153 1.895985487 0.000000000 +-30 90 1.37149059148221 -0.1857452957 1.887745693 0.000000000 +-35 90 1.42809172011912 -0.3191197596 1.869824252 0.000000000 +-40 90 1.48934288612858 -0.4573311538 1.840902842 0.000000000 +-45 90 1.55506606322010 -0.5995977585 1.799597758 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 1.55506605504424 -0.5995977527 1.799597753 1.346618868e-16 +-90 40 1.62497570678394 -0.7448036104 1.744514250 1.524444757e-16 +-90 35 1.69866960618426 -0.8914686805 1.674316859 1.704057666e-16 +-90 30 1.77562381537700 -1.037735332 1.587811908 1.883182652e-16 +-90 25 1.85519481990730 -1.181377512 1.484039210 2.059093588e-16 +-90 20 1.93662766787930 -1.319834729 1.362365673 2.228654775e-16 +-90 15 2.01907037825640 -1.450272223 1.222573867 2.388394636e-16 +-90 10 2.10159344371327 -1.569665517 1.064937872 2.534609251e-16 +-90 5 2.18321274536428 -1.674904962 0.8902795284 2.663490400e-16 +-90 -2.84217e-14 2.26291406586223 -1.762914066 0.7000000000 2.771270468e-16 +-90 -5 2.33967742764289 -1.830774249 0.4960836760 2.854375223e-16 +-90 -10 2.41249965553155 -1.875848365 0.2810738312 2.909575095e-16 +-90 -15 2.48041588683055 -1.895897765 0.05802112871 2.934128529e-16 +-90 -20 2.54251950100659 -1.889186813 -0.1695928841 2.925909983e-16 +-90 -25 2.59797868936126 -1.854568317 -0.3979532377 2.883514552e-16 +-90 -30 2.64605010700525 -1.791546612 -0.6230250535 2.806335224e-16 +-90 -35 2.68608960423584 -1.700315790 -0.8406777029 2.694609690e-16 +-90 -40 2.71755978223016 -1.581771570 -1.046813757 2.549434890e-16 +-90 -45 2.74003852716996 -1.437499823 -1.237499823 2.372752957e-16 + +-85 45 1.55501250660469 -0.5974618275 1.797461827 0.09601546856 +-85 40 1.62473324716293 -0.7418320270 1.742020796 0.1086462244 +-85 35 1.69816626564153 -0.8874977750 1.671536401 0.1213903260 +-85 30 1.77478688615541 -1.032617676 1.584857228 0.1340866722 +-85 25 1.85395695292904 -1.174998376 1.481064570 0.1465433694 +-85 20 1.93493310862274 -1.312128690 1.359560904 0.1585407172 +-85 15 2.01688096004644 -1.441238037 1.220153164 0.1698363214 +-85 10 2.09889369183867 -1.559377060 1.063123739 0.1801721467 +-85 5 2.18001351427403 -1.663516282 0.8892831480 0.1892831480 +-85 -2.84217e-14 2.25925430470675 -1.750657160 0.7000000000 0.1969069870 +-85 -5 2.33562393219309 -1.817949119 0.4972057294 0.2027942706 +-85 -10 2.40814399198871 -1.862804993 0.2833737295 0.2067186510 +-85 -15 2.47586906973383 -1.883011843 0.06147390122 0.2084865213 +-85 -20 2.53790560141324 -1.876832322 -0.1650962170 0.2079458833 +-85 -25 2.59342714701827 -1.843089064 -0.3926003741 0.2049937307 +-85 -30 2.64168758371393 -1.781229999 -0.6170687539 0.1995817638 +-85 -35 2.68203215490396 -1.691371789 -0.8344150456 0.1917201891 +-85 -40 2.71390462900925 -1.574318164 -1.040559607 0.1814793239 +-85 -45 2.73685859941516 -1.431558638 -1.231558638 0.1689894838 + +-80 45 1.55485005847321 -0.5909976161 1.790997616 0.1923723156 +-80 40 1.62400179811410 -0.7328615688 1.734493688 0.2173867581 +-80 35 1.69665233954335 -0.8755416722 1.663164648 0.2425451099 +-80 30 1.77227614710769 -1.017248203 1.575983659 0.2675317947 +-80 25 1.85025232138533 -1.155887260 1.472152910 0.2919776009 +-80 20 1.92987253173120 -1.289094169 1.351177024 0.3154655730 +-80 15 2.01035439919084 -1.414286445 1.212931507 0.3375403490 +-80 10 2.09085733692642 -1.528732791 1.057720328 0.3577203277 +-80 5 2.17049973428324 -1.629634950 0.8863189156 0.3755121008 +-80 -2.84217e-14 2.24837626463419 -1.714218377 0.7000000000 0.3904264411 +-80 -5 2.32357414485802 -1.779827373 0.5005409500 0.4019950773 +-80 -10 2.39518741003465 -1.824020465 0.2902124884 0.4097875116 +-80 -15 2.46232913765876 -1.844662858 0.07174948076 0.4134273225 +-80 -20 2.52414565682958 -1.840016867 -0.1516964873 0.4126081090 +-80 -25 2.57982848933094 -1.808823007 -0.3766218493 0.4071077897 +-80 -30 2.62862575044561 -1.750370352 -0.5992519285 0.3968010096 +-80 -35 2.66985277808663 -1.664552908 -0.8156362628 0.3816690788 +-80 -40 2.70290262209572 -1.551909530 -1.021756530 0.3618070122 +-80 -45 2.72726026109189 -1.413647189 -1.213647189 0.3374276309 + +-75 45 1.55458860210485 -0.5800451311 1.780045131 0.2893972207 +-75 40 1.62278939661109 -0.7177404901 1.721805596 0.3262925809 +-75 35 1.69414031619167 -0.8554912476 1.649125190 0.3632027851 +-75 30 1.76811854837384 -0.9916025292 1.561177122 0.3996736931 +-75 25 1.84413500630114 -1.124149090 1.457353159 0.4351894372 +-75 20 1.92153985930615 -1.251004512 1.337313523 0.4691802450 +-75 15 1.99963502350555 -1.369884959 1.201034165 0.5010341646 +-75 10 2.07768486314431 -1.478399416 1.048845196 0.5301105259 +-75 5 2.15492670554588 -1.574106390 0.8814607961 0.5557551323 +-75 -2.84217e-14 2.23058038400017 -1.654575201 0.7000000000 0.5773166850 +-75 -5 2.30385583446608 -1.717449947 0.5059982677 0.5941639225 +-75 -10 2.37395926408866 -1.760515878 0.3014100604 0.6057034040 +-75 -15 2.44009857946018 -1.781768212 0.08860205036 0.6113979496 +-75 -20 2.50148810464901 -1.779482748 -0.1296638698 0.6107855615 +-75 -25 2.55735500291262 -1.752289441 -0.3502598146 0.6034991368 +-75 -30 2.60694685266393 -1.699246494 -0.5697355555 0.5892863221 +-75 -35 2.64954161034583 -1.619913226 -0.7843792212 0.5680290369 +-75 -40 2.68446123789000 -1.514418599 -0.9902979038 0.5397618369 +-75 -45 2.71108722010816 -1.383518603 -1.183518603 0.5046872886 + +-70 45 1.55423933433409 -0.5643292304 1.764329230 0.3873841593 +-70 40 1.62110080880836 -0.6962092699 1.703738757 0.4353845682 +-70 35 1.69064396647269 -0.8271632658 1.629289723 0.4830479248 +-70 30 1.76235849063715 -0.9556459656 1.540417590 0.5298118031 +-70 25 1.83570030039960 -1.079967739 1.436751057 0.5750612282 +-70 20 1.91009920662033 -1.198319805 1.318137857 0.6181378571 +-70 15 1.98496928304526 -1.308804618 1.184667737 0.6583510406 +-70 10 2.05971061765569 -1.409460959 1.036689486 0.6949869526 +-70 5 2.13371194848307 -1.498291632 0.8748278642 0.7273186733 +-70 -2.84217e-14 2.20635074630477 -1.573291515 0.7000000000 0.7546163985 +-70 -5 2.27699213168257 -1.632478250 0.5134323279 0.7761586082 +-70 -10 2.34498631938658 -1.673926661 0.3166780755 0.7912445962 +-70 -15 2.40966522232947 -1.695809084 0.1116347293 0.7992091466 +-70 -20 2.47033923320214 -1.696444053 -0.09944025663 0.7994402566 +-70 -25 2.52629553418579 -1.674355718 -0.3139187227 0.7914007599 +-70 -30 2.57679966092478 -1.628345652 -0.5288009350 0.7746544655 +-70 -35 2.62110168205927 -1.557576839 -0.7407308131 0.7488967241 +-70 -40 2.65844749125130 -1.461666736 -0.9460338348 0.7139883015 +-70 -45 2.68809551491797 -1.340783828 -1.140783828 0.6699905209 + +-65 45 1.55382479557748 -0.5434600625 1.743460063 0.4865734181 +-65 40 1.61895551804648 -0.6679149457 1.679997000 0.5446076833 +-65 35 1.68619362374855 -0.7903199225 1.603491736 0.6016860613 +-65 30 1.75505738731339 -0.9093431954 1.513684673 0.6571875250 +-65 25 1.82507075103443 -1.023600325 1.410466500 0.7104664997 +-65 20 1.89576535150901 -1.131665090 1.293877525 0.7608579272 +-65 15 1.96668327804747 -1.232078642 1.164109073 0.8076815353 +-65 10 2.03737677215935 -1.323354686 1.021506627 0.8502442535 +-65 5 2.10740555447031 -1.403982116 0.8665768507 0.8878414417 +-65 -2.84217e-14 2.17632365257482 -1.472419073 0.7000000000 0.9197541190 +-65 -5 2.24367059988022 -1.527093782 0.5226522741 0.9452493545 +-65 -10 2.30896155287807 -1.566410064 0.3356361525 0.9635828379 +-65 -15 2.37167612424356 -1.588760100 0.1403184180 0.9740048306 +-65 -20 2.43124797333284 -1.592549292 -0.06162565609 0.9757717600 +-65 -25 2.48705429227655 -1.576235525 -0.2681645255 0.9681645255 +-65 -30 2.53840875835604 -1.538388680 -0.4768642530 0.9505162517 +-65 -35 2.58456026533881 -1.477773818 -0.6848521363 0.9222510775 +-65 -40 2.62469639378231 -1.393456684 -0.8887988049 0.8829333520 +-65 -45 2.65795487663332 -1.284930817 -1.084930817 0.8323269092 + +-60 45 1.55337955337127 -0.5169256266 1.716925627 0.5871222843 +-60 40 1.61637809651001 -0.6324069124 1.650202223 0.6537954357 +-60 35 1.68083134599567 -0.7446765214 1.571531883 0.7186143247 +-60 30 1.74630663042580 -0.8526832994 1.480972067 0.7809720670 +-60 25 1.81241220723312 -0.9554001652 1.378664243 0.8402756772 +-60 20 1.87880136311282 -1.051823672 1.264817625 0.8959458148 +-60 15 1.94516120473836 -1.140957489 1.139693234 0.9474072478 +-60 10 2.01120400283099 -1.221794690 1.003598859 0.9940786279 +-60 5 2.07665719209499 -1.293297857 0.8568932328 1.035361001 +-60 -2.84217e-14 2.14125448713447 -1.354380782 0.7000000000 1.070627244 +-60 -5 2.20471413865394 -1.403881467 0.5334319550 1.099206477 +-60 -10 2.26672536458310 -1.440546902 0.3578292239 1.120375276 +-60 -15 2.32693133420698 -1.463022596 0.1740096806 1.133351624 +-60 -20 2.38491200999070 -1.469853219 -0.01696793755 1.137295286 +-60 -25 2.44016674849609 -1.459498548 -0.2137291792 1.131317014 +-60 -30 2.49209773957657 -1.430370609 -0.4144999905 1.114499990 +-60 -35 2.53999629956393 -1.380898858 -0.6170195587 1.085937462 +-60 -40 2.58303376367254 -1.309629378 -0.8184593435 1.044790008 +-60 -45 2.62026047164987 -1.215363136 -1.015363136 0.9903653683 + +-55 45 1.55295377526132 -0.4840870448 1.684087045 0.6890651671 +-55 40 1.61341477074485 -0.5891563563 1.613910697 0.7626354910 +-55 35 1.67462114037084 -0.6899267946 1.533195711 0.8331957115 +-55 30 1.73621876784869 -0.7856915963 1.442294389 0.9002509476 +-55 25 1.79792652560185 -0.8758208918 1.341555818 0.9633601597 +-55 20 1.85952539021501 -0.9597359578 1.231300439 1.022118121 +-55 15 1.92084934641231 -1.036882425 1.111806405 1.076136659 +-55 10 1.98176948681113 -1.106697171 0.9833040610 1.125021471 +-55 5 2.04217702160902 -1.168573997 0.8459813090 1.168348091 +-55 -2.84217e-14 2.10196871841754 -1.221831973 0.7000000000 1.205639727 +-55 -5 2.16102875260829 -1.265682576 0.5455227912 1.236344250 +-55 -10 2.21921677967607 -1.299204875 0.3827516368 1.259816816 +-55 -15 2.27634402734973 -1.321315729 0.2119799212 1.275299003 +-55 -20 2.33215285191279 -1.330750682 0.03366124524 1.281905428 +-55 -25 2.38629432234015 -1.326055479 -0.1515036540 1.278617812 +-55 -30 2.43830273654520 -1.305593509 -0.3424598986 1.264290186 +-55 -35 2.48756898229725 -1.267578895 -0.5376720669 1.237672067 +-55 -40 2.53331403331206 -1.210146164 -0.7349830159 1.197457236 +-55 -45 2.57456767333853 -1.131470771 -0.9314707712 1.142368132 + +-50 45 1.55262431214188 -0.4441825215 1.644182521 0.7922632055 +-50 40 1.61013033175917 -0.5375687547 1.570623559 0.8706235594 +-50 35 1.66765485533818 -0.6257718218 1.488273916 0.9446347205 +-50 30 1.72494772402245 -0.7084689408 1.397709868 1.014025843 +-50 25 1.78185260764784 -0.7854289499 1.299405363 1.078602958 +-50 20 1.83829001717993 -0.8564730505 1.193715814 1.138216036 +-50 15 1.89423396093429 -0.9214323786 1.080871658 1.192723385 +-50 10 1.94969440286754 -0.9801112308 0.9609835444 1.241960788 +-50 5 2.00470635462911 -1.032256794 0.8340550991 1.285716110 +-50 -2.84217e-14 2.05931165387096 -1.077524249 0.7000000000 1.323700016 +-50 -5 2.11354350123617 -1.115444268 0.5586669400 1.355518689 +-50 -10 2.16741232157508 -1.145391870 0.4098730195 1.380647711 +-50 -15 2.22088750384194 -1.166553062 0.2534484530 1.398404059 +-50 -20 2.27387734665351 -1.177892668 0.08929701266 1.407919119 +-50 -25 2.32620503002608 -1.178124934 -0.08252250791 1.408114013 +-50 -30 2.37757663074884 -1.165689616 -0.2616863484 1.397679543 +-50 -35 2.42754388035451 -1.138744665 -0.4474613674 1.375070044 +-50 -40 2.47546255680464 -1.095189254 -0.6385227145 1.338522715 +-50 -45 2.52044335153850 -1.032733025 -0.8327330252 1.286115716 + +-45 45 1.55249771131993 -0.3963349715 1.596334972 0.8963349715 +-45 40 1.60662722189211 -0.4770227927 1.519819465 0.9770227927 +-45 35 1.66005975073980 -0.5519587385 1.436589439 1.051958738 +-45 30 1.71268047946081 -0.6212125626 1.347332375 1.121212563 +-45 25 1.76447080620208 -0.6849179026 1.252536292 1.184917903 +-45 20 1.81548123554100 -0.7432253538 1.152497023 1.243225354 +-45 15 1.86581294273043 -0.7962671807 1.047333744 1.296267181 +-45 10 1.91559892168764 -0.8441256573 0.9370056189 1.344125657 +-45 5 1.96498906437296 -0.8868058812 0.8213297931 1.386805881 +-45 -2.84217e-14 2.01413804396955 -0.9242106691 0.7000000000 1.424210669 +-45 -5 2.06319755941833 -0.9561172687 0.5726062462 1.456117269 +-45 -10 2.11230512174526 -0.9821492527 0.4386570973 1.482149253 +-45 -15 2.16157072381258 -1.001743891 0.2976089372 1.501743891 +-45 -20 2.21106024970671 -1.014114334 0.1489074513 1.514114334 +-45 -25 2.26077352117549 -1.018206484 -0.007951310177 1.518206484 +-45 -30 2.31061420569981 -1.012652071 -0.1733300806 1.512652071 +-45 -35 2.36034845598572 -0.9957227793 -0.3473163651 1.495722779 +-45 -40 2.40954912559694 -0.9652959839 -0.5295293196 1.465295984 +-45 -45 2.45752288116089 -0.9188514970 -0.7188514970 1.418851497 + + +### -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 2.74003854744741 -1.437499838 -1.237499838 2.372752974e-16 +-40 -90 2.75322485952242 -1.269738826 -1.409092604 2.582893507e-16 +-35 -90 2.75694726002091 -1.081319985 -1.558358984 2.765692101e-16 +-30 -90 2.75116052704243 -0.8755802635 -1.682574906 2.917812733e-16 +-25 -90 2.73594321192910 -0.6562595644 -1.779606638 3.036642332e-16 +-20 -90 2.71149754050843 -0.4273867774 -1.847974230 3.120368485e-16 +-15 -90 2.67814842692832 -0.1931558185 -1.886892732 3.168029904e-16 +-10 -90 2.63634015902697 0.04220433567 -1.896288228 3.179536068e-16 +-5 -90 2.58663121105959 0.2745602356 -1.876788298 3.155655542e-16 +-2.84217e-14 -90 2.52968704718202 0.5000000000 -1.829687047 3.097973145e-16 +5 -90 2.46627069674468 0.7149496544 -1.756885792 3.008817321e-16 +10 -90 2.39723090030400 0.9162747773 -1.660811576 2.891160340e-16 +15 -90 2.32348754868901 1.101362829 -1.544316630 2.748495178e-16 +20 -90 2.24601380788603 1.268181964 -1.410562601 2.584693734e-16 +25 -90 2.16581715884692 1.415313883 -1.262896956 2.403855475e-16 +30 -90 2.08391900325673 1.541959502 -1.104726796 2.210152894e-16 +35 -90 2.00133054260961 1.647916041 -0.9393940053 2.007678621e-16 +40 -90 1.91902734040300 1.733526997 -0.7700602303 1.800304556e-16 +45 -90 1.83792459952491 1.799608948 -0.5996089476 1.591561938e-16 + +-45 -85 2.73685863085915 -1.431558661 -1.231558661 0.1689894857 +-40 -85 2.74945031929640 -1.263356794 -1.401486794 0.1838562711 +-35 -85 2.75261850314412 -1.074798139 -1.549044823 0.1967659258 +-30 -85 2.74634894722799 -0.8692498719 -1.671610346 0.2074890196 +-25 -85 2.73074719414159 -0.6504527549 -1.767153895 0.2158479969 +-20 -85 2.70603683809583 -0.4224071338 -1.834292772 0.2217218876 +-15 -85 2.67255744760211 -0.1892519890 -1.872323442 0.2250491401 +-10 -85 2.63076007727203 0.04485954198 -1.881229805 0.2258283459 +-5 -85 2.58120164211532 0.2758830533 -1.861668422 0.2241169467 +-2.84217e-14 -85 2.52453788118429 0.5000000000 -1.814931252 0.2200279741 +5 -85 2.46151467160139 0.7137249347 -1.742887182 0.2137249347 +10 -85 2.39295749479977 0.9139988970 -1.647904418 0.2054150196 +15 -85 2.31975887364106 1.098265313 -1.532756544 0.1953408860 +20 -85 2.24286181929832 1.264524604 -1.400514086 0.1837711701 +25 -85 2.16324362679823 1.411365796 -1.254430256 0.1709904911 +30 -85 2.08189856571512 1.537974197 -1.097824047 0.1572892231 +35 -85 1.99981504168619 1.644112416 -0.9339618663 0.1429531399 +40 -85 1.91795143658132 1.730075944 -0.7659474251 0.1282537810 +45 -85 1.83721223647825 1.796626419 -0.5966264194 0.1134401125 + +-45 -80 2.72726032275000 -1.413647232 -1.213647232 0.3374276386 +-40 -80 2.73808984998789 -1.244170893 -1.378621928 0.3665171285 +-35 -80 2.73962640416588 -1.055245727 -1.521121085 0.3916435747 +-30 -80 2.73194252087304 -0.8503183510 -1.638819990 0.4123970673 +-25 -80 2.71522211356754 -0.6331247272 -1.729993819 0.4284734733 +-20 -80 2.68975008457196 -0.4075746848 -1.793540953 0.4396785475 +-15 -80 2.65590640415707 -0.1776407556 -1.828989729 0.4459291232 +-10 -80 2.61415945881432 0.05274902702 -1.836486312 0.4472509730 +-5 -80 2.56505971061134 0.2798114710 -1.816766403 0.4437738210 +-2.84217e-14 -80 2.50923339738095 0.5000000000 -1.771112504 0.4357238068 +5 -80 2.44737603338106 0.7100863876 -1.701298399 0.4234136964 +10 -80 2.38024539220680 0.9072311136 -1.609522411 0.4072311136 +15 -80 2.30865363334574 1.089041011 -1.498330980 0.3876250642 +20 -80 2.23345698328788 1.253612400 -1.370533053 0.3650908417 +25 -80 2.15554777806618 1.399559736 -1.229112079 0.3401545084 +30 -80 2.07584165150361 1.526027105 -1.077131076 0.3133561569 +35 -80 1.99525966661727 1.632679648 -0.9176341813 0.2852325511 +40 -80 1.91470840019802 1.719674606 -0.7535515939 0.2563003638 +45 -80 1.83505873104470 1.787612712 -0.5876127122 0.2270408619 + +-45 -75 2.71108729719971 -1.383518657 -1.183518657 0.5046873030 +-40 -75 2.71904817709178 -1.212075916 -1.340372624 0.5467161969 +-35 -75 2.71796190194957 -1.022711006 -1.474656688 0.5826975034 +-30 -75 2.70803480699674 -0.8189713002 -1.584525306 0.6121367108 +-25 -75 2.68956714034939 -0.6045569672 -1.668730060 0.6346993067 +-20 -75 2.66293375889012 -0.3832102473 -1.726600211 0.6502055669 +-15 -75 2.62857012199697 -0.1586219084 -1.758010425 0.6586219084 +-10 -75 2.58696420554712 0.06564633522 -1.763342042 0.6600505109 +-5 -75 2.53865037058908 0.2862268280 -1.743438537 0.6547173827 +-2.84217e-14 -75 2.48420494964460 0.5000000000 -1.699557719 0.6429595529 +5 -75 2.42424329027585 0.7041392481 -1.633322283 0.6252118214 +10 -75 2.35941772464907 0.8961484018 -1.546669229 0.6019932055 +15 -75 2.29041617594618 1.073893106 -1.441798231 0.5738931064 +20 -75 2.21796461222555 1.235628165 -1.321121771 0.5415579465 +25 -75 2.14282466053718 1.380019641 -1.187208210 0.5056759157 +30 -75 2.06578775157871 1.506159430 -1.042719253 0.4669602164 +35 -75 1.98766559370358 1.613569794 -0.8903424821 0.4261309838 +40 -75 1.90927807891632 1.702196064 -0.7327214784 0.3838965631 +45 -75 1.83143659658194 1.772384331 -0.5723843314 0.3409343541 + +-45 -70 2.68809558530000 -1.340783876 -1.140783876 0.6699905385 +-40 -70 2.69218690931254 -1.166924307 -1.286563032 0.7230498120 +-35 -70 2.68762678353749 -0.9772974081 -1.409799349 0.7679041632 +-30 -70 2.67479119615192 -0.7755302528 -1.509283204 0.8041133255 +-25 -70 2.65411482746235 -0.5652184906 -1.584368425 0.8314421108 +-20 -70 2.62607198296043 -0.3498378003 -1.634910167 0.8498378003 +-15 -70 2.59115260964537 -0.1326788437 -1.661189590 0.8594027281 +-10 -70 2.54985489644383 0.08318934401 -1.663850696 0.8603712914 +-5 -70 2.50268130966389 0.2949402550 -1.643843611 0.8530893081 +-2.84217e-14 -70 2.45013769817093 0.5000000000 -1.602376315 0.8379964467 +5 -70 2.39273498183848 0.6960511805 -1.540875247 0.8156118888 +10 -70 2.33099275594658 0.8810344742 -1.460953886 0.7865228922 +15 -70 2.26544810930022 1.053151939 -1.364391141 0.7513769271 +20 -70 2.19666688593377 1.210875622 -1.253114720 0.7108756220 +25 -70 2.12524572769825 1.352958969 -1.129176411 0.6657657670 +30 -70 2.05181537582460 1.478451174 -0.9947271454 0.6168302361 +35 -70 1.97704145037659 1.586712719 -0.8519866039 0.5648769278 +40 -70 1.90162379390772 1.677430480 -0.7032070046 0.5107255822 +45 -70 1.82629153394773 1.750628150 -0.5506281497 0.4551914206 + +-45 -65 2.65795494482896 -1.284930863 -1.084930863 0.8323269306 +-40 -65 2.65733428167541 -1.108555390 -1.217001665 0.8939125570 +-35 -65 2.64864744454711 -0.9191911565 -1.326815021 0.9451193661 +-30 -65 2.63245608024737 -0.7204667385 -1.413910400 0.9857326082 +-25 -65 2.60932833623737 -0.5157635635 -1.478311992 1.015763563 +-20 -65 2.57982047365568 -0.3081682668 -1.520424064 1.035400746 +-15 -65 2.54445743208719 -0.1004554949 -1.540930414 1.044963014 +-10 -65 2.50372597126027 0.1049015078 -1.540714896 1.044862516 +-5 -65 2.45807547545787 0.3057049481 -1.520802605 1.035577262 +-2.84217e-14 -65 2.40792218332951 0.5000000000 -1.482318625 1.017631888 +5 -65 2.35365640484153 0.6860413961 -1.426462888 0.9915859296 +10 -65 2.29565281709073 0.8622636730 -1.354499383 0.9580287959 +15 -65 2.23428737381932 1.027259805 -1.267760383 0.9175817359 +20 -65 2.16994853135372 1.179769605 -1.167651639 0.8709002622 +25 -65 2.10304805161601 1.318677954 -1.055660538 0.8186779538 +30 -65 2.03403218081613 1.443023757 -0.9333650591 0.7616506356 +35 -65 1.96339822328288 1.552022760 -0.8024442079 0.7006012401 +40 -65 1.89170293846411 1.645098296 -0.6646750081 0.6363584072 +45 -65 1.81956007088003 1.721912709 -0.5219127090 0.5697872538 + +-45 -60 2.62026056296492 -1.215363196 -1.015363196 0.9903654028 +-40 -60 2.61431055803075 -1.036845685 -1.131541366 1.057440901 +-35 -60 2.60110703346122 -0.8487062316 -1.226152116 1.112064443 +-30 -60 2.58138335483862 -0.6544297315 -1.299530949 1.154429731 +-25 -60 2.55581421103476 -0.4570337858 -1.352365577 1.184933818 +-20 -60 2.52500061940056 -0.2590822969 -1.385561470 1.204099476 +-15 -60 2.48946399903349 -0.06272995457 -1.400136781 1.212514536 +-10 -60 2.44964873976771 0.1302162478 -1.397147871 1.210788888 +-5 -60 2.40592748465362 0.3182301140 -1.377639304 1.199525611 +-2.84217e-14 -60 2.35861150291299 0.5000000000 -1.342617479 1.179305751 +5 -60 2.30796570846330 0.6743687897 -1.293044387 1.150684713 +10 -60 2.25422083371383 0.8402831699 -1.229841755 1.114194657 +15 -60 2.19758980036818 0.9967533610 -1.153908782 1.070354734 +20 -60 2.13828372037677 1.142824919 -1.066146949 1.019685416 +25 -60 2.07652836712306 1.277563485 -0.9674902743 0.9627259587 +30 -60 2.01258522524313 1.400055475 -0.8589418120 0.9000554748 +35 -60 1.94677242477543 1.509425628 -0.7416091986 0.8323134589 +40 -60 1.87947483919427 1.604865980 -0.6167280009 0.7602132657 +45 -60 1.81116119706742 1.685683326 -0.4856833259 0.6845545874 + +-45 -55 2.57456773944424 -1.131470813 -0.9314708131 1.142368162 +-40 -55 2.56296661279328 -0.9517795707 -1.030163519 1.211473538 +-35 -55 2.54517643147780 -0.7663342392 -1.108512720 1.266334239 +-30 -55 2.52205240323845 -0.5782658171 -1.167611179 1.307715426 +-25 -55 2.49431842501427 -0.3900499965 -1.208718377 1.336498996 +-20 -55 2.46256864275558 -0.2036009332 -1.233127676 1.353590571 +-15 -55 2.42727642842090 -0.02037812376 -1.242077597 1.359857373 +-10 -55 2.38880805408248 0.1585076987 -1.236699080 1.356091295 +-5 -55 2.34743788593370 0.3321976735 -1.217989369 1.342990614 +-2.84217e-14 -55 2.30336431232484 0.5000000000 -1.186805585 1.321155494 +5 -55 2.25672567462457 0.6613179291 -1.143872367 1.291093331 +10 -55 2.20761550885023 0.8155899024 -1.089799276 1.253230945 +15 -55 2.15609827152205 0.9622408721 -1.025106420 1.207932520 +20 -55 2.10222451647160 1.100644021 -0.9502558848 1.155521611 +25 -55 2.04605655099258 1.230096289 -0.8656965447 1.096312523 +30 -55 1.98768017311420 1.349802955 -0.7719018952 1.030636802 +35 -55 1.92722812209080 1.458878500 -0.6694204178 0.9588784995 +40 -55 1.86490483765163 1.556365983 -0.5589279550 0.8815108441 +45 -55 1.80101407529773 1.641279700 -0.4412797002 0.7991326493 + +-45 -50 2.52044320511799 -1.032732936 -0.8327329362 1.286115641 +-40 -50 2.50322500640732 -0.8535343209 -0.9130793896 1.353534321 +-35 -50 2.48114310445844 -0.6727968678 -0.9749275091 1.405431055 +-30 -50 2.45508022124246 -0.4930351361 -1.019987309 1.443240717 +-25 -50 2.42572965388821 -0.3160020410 -1.049922024 1.468358925 +-20 -50 2.39361412474488 -0.1428611018 -1.066246361 1.482056670 +-15 -50 2.35911118048586 0.02565596168 -1.070276051 1.485437982 +-10 -50 2.32247865722812 0.1891160425 -1.063110536 1.479425401 +-5 -50 2.28387725812643 0.3472766890 -1.045635433 1.464762048 +-2.84217e-14 -50 2.24338971877084 0.5000000000 -1.018536228 1.442023115 +5 -50 2.20103728802610 0.6471837863 -0.9823183755 1.411632728 +10 -50 2.15679466547258 0.7887057149 -0.9373314721 1.373884234 +15 -50 2.11060524772256 0.9243772082 -0.8837973024 1.328963732 +20 -50 2.06239234465271 1.053903740 -0.8218380174 1.276973719 +25 -50 2.01207403072989 1.176850577 -0.7515107464 1.217962132 +30 -50 1.95957895262288 1.292613917 -0.6728475758 1.151955895 +35 -50 1.90487568152084 1.400404426 -0.5859107863 1.079007267 +40 -50 1.84799116319492 1.499238765 -0.4908463881 0.9992387651 +45 -50 1.78904067237827 1.587952134 -0.3879521336 0.9129002341 + +-45 -45 2.45752267545056 -0.9188513782 -0.7188513782 1.418851378 +-40 -45 2.43515818405309 -0.7425969462 -0.7808693748 1.480869375 +-35 -45 2.40946144687106 -0.5691084183 -0.8268450566 1.526845057 +-30 -45 2.38123608124019 -0.4000226406 -0.8588849414 1.558884941 +-25 -45 2.35105390248459 -0.2362222155 -0.8788336362 1.578833636 +-20 -45 2.31930165926971 -0.07807102399 -0.8882370852 1.588237085 +-15 -45 2.28622046046300 0.07440454265 -0.8883438703 1.588343870 +-10 -45 2.25193909759296 0.2213810191 -0.8801267612 1.580126761 +-5 -45 2.21649974119157 0.3631404826 -0.8643114420 1.564311442 +-2.84217e-14 -45 2.17987728652160 0.5000000000 -0.8414060115 1.541406011 +5 -45 2.14199439429634 0.6322591262 -0.8117287304 1.511728730 +10 -45 2.10273423358079 0.7601587538 -0.7754336108 1.475433611 +15 -45 2.06194646585870 0.8838453309 -0.7325302772 1.432530277 +20 -45 2.01945573438330 1.003336355 -0.6829052709 1.382905271 +25 -45 1.97507368346739 1.118485659 -0.6263467767 1.326346777 +30 -45 1.92861077623385 1.228946356 -0.5625721240 1.262572124 +35 -45 1.87989034664117 1.334131045 -0.4912625896 1.191262590 +40 -45 1.82877322442323 1.433174707 -0.4121143092 1.112114309 +45 -45 1.77519492334704 1.524909267 -0.3249092669 1.024909267 + + diff --git a/test/Kerr-EE.par b/test/Kerr-EE.par new file mode 100644 index 0000000..a7b933c --- /dev/null +++ b/test/Kerr-EE.par @@ -0,0 +1,66 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::max_Newton_iterations__initial = 50 diff --git a/test/Kerr-EE/BH_diagnostics.ah1.gp b/test/Kerr-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..c16a94a --- /dev/null +++ b/test/Kerr-EE/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 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616835437e-06 0.000000000 1.199898774 -0.000000000 1.079941067 -1.896292695 1.896685671 -1.896795844 1.896404298 -1.799352120 1.799352120 12.56580486 10.83709599 11.22743101 0.8624275259 0.8934907981 45.23550768 0.9486473693 1.897294739 -3.286497846e-15 -1.470552902 4.929207609e-15 0.7352764510 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071575689 0.7479030207 33.19249618 diff --git a/test/Kerr-EE/h.t0.ah1.gp b/test/Kerr-EE/h.t0.ah1.gp new file mode 100644 index 0000000..34281dc --- /dev/null +++ b/test/Kerr-EE/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 2.45802500869525 -0.9191414004 -0.7191414004 1.419141400 +-40 -45 2.43566695962338 -0.7428565610 -0.7811787716 1.481178772 +-35 -45 2.40997261697227 -0.5693352309 -0.8271689786 1.527168979 +-30 -45 2.38175005580880 -0.4002169047 -0.8592214167 1.559221417 +-25 -45 2.35157194269325 -0.2363844375 -0.8791815225 1.579181522 +-20 -45 2.31982370214809 -0.07820113982 -0.8885945756 1.588594576 +-15 -45 2.28674430384586 0.07430702565 -0.8887078087 1.588707809 +-10 -45 2.25246257545031 0.2213162523 -0.8804940719 1.580494072 +-5 -45 2.21702381398555 0.3631081233 -0.8646813103 1.564681310 +0 -45 2.18040236180216 0.5000000000 -0.8417772957 1.541777296 +5 -45 2.14252025570822 0.6322915960 -0.8120998611 1.512099861 +10 -45 2.10326121393268 0.7602239540 -0.7758033791 1.475803379 +15 -45 2.06247131027484 0.8839430343 -0.7328949110 1.432894911 +20 -45 2.01997849446150 1.003466650 -0.6832632523 1.383263252 +25 -45 1.97559557839912 1.118649088 -0.6266972516 1.326697252 +30 -45 1.92913149902019 1.229143170 -0.5629130171 1.262913017 +35 -45 1.88040836230858 1.334360895 -0.4915908495 1.191590850 +40 -45 1.82928924070022 1.433438016 -0.4124281092 1.112428109 +45 -45 1.77570748255075 1.525205193 -0.3252051931 1.025205193 + +-45 -40 2.41005349087077 -0.9656026987 -0.5297866839 1.465602699 +-40 -40 2.38611266409430 -0.7902097798 -0.5902097798 1.537612140 +-35 -40 2.35869490671419 -0.6149175530 -0.6360708883 1.592267281 +-30 -40 2.32859138701124 -0.4418727115 -0.6688831321 1.631371391 +-25 -40 2.29638964782694 -0.2724927782 -0.6900659660 1.656616109 +-20 -40 2.26251023001357 -0.1076500821 -0.7008809286 1.669504879 +-15 -40 2.22723906891975 0.05217135038 -0.7024033859 1.671319273 +-10 -40 2.19075758226649 0.2067480534 -0.6955187074 1.663114433 +-5 -40 2.15316634419794 0.3560173529 -0.6809307537 1.645729187 +0 -40 2.11449642977440 0.5000000000 -0.6591721058 1.619798240 +5 -40 2.07473278655827 0.6387377800 -0.6306274819 1.585780082 +10 -40 2.03382784267551 0.7722455367 -0.5955540243 1.543981163 +15 -40 1.99170264514221 0.9004695852 -0.5540955178 1.494572839 +20 -40 1.94826991346611 1.023253489 -0.5063124088 1.437627147 +25 -40 1.90344281288107 1.140307636 -0.4522047554 1.373144157 +30 -40 1.85714513125499 1.251181306 -0.3917392627 1.301084189 +35 -40 1.80932873901701 1.355240907 -0.3248851806 1.221410596 +40 -40 1.75999254389887 1.451656486 -0.2516564858 1.134140036 +45 -40 1.70921500655945 1.539408518 -0.1721673038 1.039408518 + +-45 -35 2.36085359456676 -0.9960428792 -0.3475405015 1.496042879 +-40 -35 2.33480188749775 -0.8225368075 -0.4036237030 1.576137992 +-35 -35 2.30528450153299 -0.6469777337 -0.4469777337 1.638053964 +-30 -35 2.27306046282935 -0.4718130337 -0.4786100193 1.683229550 +-25 -35 2.23872311573235 -0.2988456812 -0.4995466041 1.713130092 +-20 -35 2.20272066953988 -0.1293576113 -0.5107609419 1.729145826 +-15 -35 2.16538026654818 0.03576918264 -0.5131326646 1.732532997 +-10 -35 2.12693213690268 0.1959441974 -0.5074281779 1.724386146 +-5 -35 2.08752878617425 0.3507768026 -0.4942942488 1.705628951 +0 -35 2.04725701155789 0.5000000000 -0.4742583810 1.677014766 +5 -35 2.00616217599243 0.6434068533 -0.4477436693 1.639147834 +10 -35 1.96426174447972 0.7808012399 -0.4150825821 1.592502967 +15 -35 1.92154962351038 0.9119565353 -0.3765289824 1.537442720 +20 -35 1.87801268069492 1.036582596 -0.3322799589 1.474248566 +25 -35 1.83364506950852 1.154301300 -0.2824987739 1.403153666 +30 -35 1.78845689919843 1.264628022 -0.2273370661 1.324374582 +35 -35 1.74249177092494 1.366964256 -0.1669642559 1.238153274 +40 -35 1.69583132951083 1.460595143 -0.1015924870 1.144792712 +45 -35 1.64862504040601 1.544712708 -0.03151571346 1.044712708 + +-45 -30 2.31111875623686 -1.012982377 -0.1735207828 1.512982377 +-40 -30 2.28252560863505 -0.8418029551 -0.2232399450 1.599098492 +-35 -30 2.25059173508868 -0.6669597056 -0.2622068649 1.666591177 +-30 -30 2.21604826038704 -0.4910469103 -0.2910469103 1.716543601 +-25 -30 2.17949219466971 -0.3161186588 -0.3104623399 1.750172112 +-20 -30 2.14139566576852 -0.1437604522 -0.3211694127 1.768717306 +-15 -30 2.10212288386566 0.02482642232 -0.3238567637 1.773371934 +-10 -30 2.06194874132345 0.1887410305 -0.3191602506 1.765237335 +-5 -30 2.02107329128573 0.3473061786 -0.3076484811 1.745298365 +0 -30 1.97963530925625 0.5000000000 -0.2898176546 1.714414468 +5 -30 1.93773438649819 0.6463974957 -0.2660981221 1.673331033 +10 -30 1.89544359055327 0.7861243866 -0.2368616814 1.622692032 +15 -30 1.85281486048163 0.9188188392 -0.2024291783 1.563053187 +20 -30 1.80989537514794 1.044102654 -0.1630865500 1.494909756 +25 -30 1.76673530352026 1.161560363 -0.1190988218 1.418720776 +30 -30 1.72339809054509 1.270727057 -0.07072705655 1.334938421 +35 -30 1.67997650398570 1.371088637 -0.01824884978 1.244043500 +40 -30 1.63659071996764 1.462084393 0.03802892703 1.146567532 +45 -30 1.59340586280861 1.543128997 0.09774919277 1.043128997 + +-45 -25 2.26127850150271 -1.018545600 -0.008109442551 1.518545600 +-40 -25 2.22982321747783 -0.8497715284 -0.05010019917 1.608595068 +-35 -25 2.19524349559627 -0.6762494709 -0.08333080731 1.679858337 +-30 -25 2.15825176816869 -0.5006147932 -0.1081651050 1.733115661 +-25 -25 2.11944980567819 -0.3250628552 -0.1250628552 1.769353003 +-20 -25 2.07933157639795 -0.1513824560 -0.1345315057 1.789658589 +-15 -25 2.03829450833703 0.01899170243 -0.1370909827 1.795147405 +-10 -25 1.99665306572500 0.1849197457 -0.1332493128 1.786908918 +-5 -25 1.95464913592005 0.3454975614 -0.1234857800 1.765970954 +0 -25 1.91246581553956 0.5000000000 -0.1082429786 1.733282661 +5 -25 1.87024680720379 0.6478309775 -0.08792742010 1.689715805 +10 -25 1.82810738746157 0.7884830371 -0.06291131922 1.636068604 +15 -25 1.78613953893022 0.9215033379 -0.03353546099 1.573071873 +20 -25 1.74442874607884 1.046469016 -0.0001195790977 1.501411283 +25 -25 1.70305798006680 1.162969171 0.03703082948 1.421741974 +30 -25 1.66211365705399 1.270593838 0.07761558773 1.334707679 +35 -25 1.62170148492034 1.368935732 0.1213267294 1.240968834 +40 -25 1.58194152267369 1.457591441 0.1678436201 1.141213039 +45 -25 1.54298207775824 1.536178712 0.2168219314 1.036178712 + +-45 -20 2.21156666564151 -1.014461123 0.1487812304 1.514461123 +-40 -20 2.17703983527197 -0.8479601310 0.1153049931 1.606436329 +-35 -20 2.13968404777810 -0.6761118461 0.08865310530 1.679661789 +-30 -20 2.10020050673664 -0.5015246375 0.06862390753 1.734691557 +-25 -20 2.05919711655876 -0.3264506199 0.05492497182 1.772329074 +-20 -20 2.01718719253170 -0.1527931975 0.04720680253 1.793534570 +-15 -20 1.97459617936539 0.01786505244 0.04508938721 1.799352120 +-10 -20 1.93177098068766 0.1842240981 0.04818240218 1.790854132 +-5 -20 1.88898701194482 0.3452239230 0.05610074814 1.769098655 +0 -20 1.84646074285703 0.5000000000 0.06847323208 1.735105535 +5 -20 1.80436682701807 0.6478426358 0.08494524173 1.689849060 +10 -20 1.76284715243328 0.7881628594 0.1051806308 1.634252786 +15 -20 1.72201528056047 0.9204625511 0.1288624204 1.569187603 +20 -20 1.68197257405756 1.044312525 0.1556874747 1.495486372 +25 -20 1.64280989822793 1.159335256 0.1853646439 1.413949020 +30 -20 1.60461516176198 1.265194377 0.2176100341 1.325355539 +35 -20 1.56748131706479 1.361591387 0.2521418984 1.230480021 +40 -20 1.53150393468893 1.448262963 0.2886787696 1.130095793 +45 -20 1.49679264948872 1.524990253 0.3269340574 1.024990253 + +-45 -15 2.16207747879408 -1.002095957 0.2975146014 1.502095957 +-40 -15 2.12437786236350 -0.8376357971 0.2728535465 1.594132267 +-35 -15 2.08421569991811 -0.6676610269 0.2531698645 1.667592768 +-30 -15 2.04228699427783 -0.4947131866 0.2383520035 1.722893778 +-25 -15 1.99920515678998 -0.3210376873 0.2282162293 1.760721002 +-20 -15 1.95549795498352 -0.1485763405 0.2225282446 1.781948850 +-15 -15 1.91161081281437 0.02102142869 0.2210214287 1.787572364 +-10 -15 1.86791286479346 0.1863757154 0.2234117124 1.778651704 +-5 -15 1.82470155038615 0.3463466088 0.2294098639 1.756266297 +0 -15 1.78221295197138 0.5000000000 0.2387293456 1.721485518 +5 -15 1.74063764524306 0.6465745874 0.2510899269 1.675355201 +10 -15 1.70012803051335 0.7854530569 0.2662211434 1.618884732 +15 -15 1.66080212994073 0.9161352437 0.2838647563 1.553037872 +20 -15 1.62275822268639 1.038217177 0.3037729340 1.478739541 +25 -15 1.58607657859603 1.151373193 0.3257086541 1.396874320 +30 -15 1.55082781997795 1.255343831 0.3494437080 1.308293893 +35 -15 1.51707688851374 1.349927173 0.3747574295 1.213821798 +40 -15 1.48488453074955 1.434972416 0.4014358074 1.114256736 +45 -15 1.45431503425789 1.510380412 0.4292693846 1.010380412 + +-45 -10 2.11281191287292 -0.9825048548 0.4385943951 1.482504855 +-40 -10 2.07193739306178 -0.8198299145 0.4226531687 1.572912042 +-35 -10 2.02903361989624 -0.6518526257 0.4099392900 1.645016031 +-30 -10 1.98479514211355 -0.4810255095 0.4003876584 1.699186026 +-25 -10 1.93983677707056 -0.3095385669 0.3938855951 1.736061059 +-20 -10 1.89469196005142 -0.1393064056 0.3902852002 1.756479913 +-15 -10 1.84981425336791 0.02802947932 0.3894144888 1.761417963 +-10 -10 1.80558123353867 0.1910869531 0.3910869531 1.751932947 +-5 -10 1.76229763903009 0.3487217576 0.3951098044 1.729118223 +0 -10 1.72020328066613 0.5000000000 0.4012898351 1.694069528 +5 -10 1.67948907272390 0.6441698323 0.4094362833 1.647868724 +10 -10 1.64030272966850 0.7806358998 0.4193641002 1.591565276 +15 -10 1.60275176611695 0.9089338074 0.4308965072 1.526161746 +20 -10 1.56691781409275 1.028708949 0.4438646243 1.452615900 +25 -10 1.53285901207417 1.139697372 0.4581083987 1.371835441 +30 -10 1.50061922619121 1.241711681 0.4734758461 1.284682316 +35 -10 1.47022852595371 1.334627170 0.4898233297 1.191971129 +40 -10 1.44171012490902 1.418373382 0.5070145671 1.094474777 +45 -10 1.41508340437628 1.492927011 0.5249201781 0.9929270107 + +-45 -5 2.06370467767802 -0.9564751713 0.5725749338 1.456475171 +-40 -5 2.01974303462141 -0.7953598679 0.5649393953 1.543749776 +-35 -5 1.97425185448580 -0.6294874835 0.5588741980 1.613075298 +-30 -5 1.92792334404703 -0.4612066211 0.5543437370 1.664858704 +-25 -5 1.88136543059704 -0.2926116512 0.5512901668 1.699761171 +-20 -5 1.83510425393327 -0.1255322290 0.5496388618 1.718635674 +-15 -5 1.78958555502407 0.03846627156 0.5493036359 1.722467324 +-10 -5 1.74517817165245 0.1980715956 0.5501913180 1.712321070 +-5 -5 1.70217696537054 0.3522057719 0.5522057719 1.689295757 +0 -5 1.66080853056103 0.5000000000 0.5552509990 1.654488653 +5 -5 1.62124873517157 0.6407675055 0.5592324945 1.608979950 +10 -5 1.58362745448564 0.7739789657 0.5640590711 1.553811927 +15 -5 1.54802936708320 0.8992364397 0.5696444568 1.489970677 +20 -5 1.51451259754844 1.016252109 0.5759068660 1.418391012 +25 -5 1.48310784742668 1.124827341 0.5827698665 1.339946557 +30 -5 1.45382971361295 1.224837298 0.5901619176 1.255455027 +35 -5 1.42667465303544 1.316213575 0.5980167580 1.165673790 +40 -5 1.40163355241376 1.398936064 0.6062724951 1.071310283 +45 -5 1.37868843129735 1.473019779 0.6148718000 0.9730197789 + +-45 0 2.01464299638395 -0.9245677244 0.7000000000 1.424567724 +-40 0 1.96776546582395 -0.7648552602 0.7000000000 1.507395800 +-35 0 1.91992720429013 -0.6012250039 0.7000000000 1.572712294 +-30 0 1.87180774198068 -0.4359038710 0.7000000000 1.621033056 +-25 0 1.82399679723426 -0.2708543559 0.7000000000 1.653102501 +-20 0 1.77699560492343 -0.1077682915 0.7000000000 1.669829657 +-15 0 1.73122230085197 0.05192669723 0.7000000000 1.672232331 +-10 0 1.68701724890192 0.2070525290 0.7000000000 1.661387666 +-5 0 1.64464686001669 0.3566595814 0.7000000000 1.638388482 +0 0 1.60430847716497 0.5000000000 0.7000000000 1.604308477 +5 0 1.56614954425751 0.6364989268 0.7000000000 1.560189872 +10 0 1.53026961982009 0.7657285308 0.7000000000 1.507021386 +15 0 1.49672526599818 0.8873810041 0.7000000000 1.445725589 +20 0 1.46554810163544 1.001246972 0.7000000000 1.377164737 +25 0 1.43674130598123 1.107193113 0.7000000000 1.302129834 +30 0 1.41029352049290 1.205146760 0.7000000000 1.221350016 +35 0 1.38617499519660 1.295077314 0.7000000000 1.135488081 +40 0 1.36435286822015 1.376989119 0.7000000000 1.045154933 +45 0 1.34478431178021 1.450906106 0.7000000000 0.9509061061 + +-45 5 1.96549258598101 -0.8871612454 0.8213608835 1.387161245 +-40 5 1.91595027693576 -0.7287925023 0.8281199631 1.464417879 +-35 5 1.86608711634924 -0.5676054508 0.8333938425 1.524698596 +-30 5 1.81655049244385 -0.4056793499 0.8372419485 1.568682649 +-25 5 1.76789443968926 -0.2448067814 0.8397406814 1.597243297 +-20 5 1.72057542565710 -0.08649277224 0.8409771019 1.611375648 +-15 5 1.67496160227877 0.06802776423 0.8410441780 1.612142331 +-10 5 1.63134386828287 0.2177657507 0.8400369766 1.600629967 +-5 5 1.58994209498418 0.3619507435 0.8380492565 1.577910223 +0 5 1.55090921665152 0.5000000000 0.8351706447 1.545007539 +5 5 1.51435145038681 0.6314859784 0.8314859784 1.502891610 +10 5 1.48033205313851 0.7561081166 0.8270738985 1.452461306 +15 5 1.44887761203143 0.8736652235 0.8220062308 1.394537599 +20 5 1.41999347275480 0.9840333623 0.8163486131 1.329870733 +25 5 1.39366003865367 1.087143341 0.8101598597 1.259132958 +30 5 1.36984695877198 1.182965934 0.8034931132 1.182931697 +35 5 1.34851094118625 1.271495403 0.7963958512 1.101809622 +40 5 1.32960584068964 1.352741174 0.7889109980 1.016257357 +45 5 1.31307839965421 1.426715003 0.7810770571 0.9267150032 + +-45 10 1.91610187804270 -0.8444785687 0.9370678466 1.344478569 +-40 10 1.86422648734079 -0.6875174866 0.9495429210 1.415228231 +-35 10 1.81273768445375 -0.5290645956 0.9591401023 1.469656551 +-30 10 1.76222903827834 -0.3710176700 0.9660151455 1.508646859 +-25 10 1.71319096407973 -0.2149540489 0.9703487420 1.533223906 +-20 10 1.66601273728345 -0.06214552927 0.9723338739 1.544482148 +-15 10 1.62099042517589 0.08641269328 0.9721657804 1.543528842 +-10 10 1.57834504142290 0.2299643091 0.9700356909 1.531448504 +-5 10 1.53823248284946 0.3679558428 0.9661253084 1.509271623 +0 10 1.50074914151095 0.5000000000 0.9606023536 1.477949390 +5 10 1.46595280649747 0.6258395626 0.9536204033 1.438352782 +10 10 1.43386700578632 0.7453172515 0.9453172515 1.391263269 +15 10 1.40448873862597 0.8583480233 0.9358149484 1.337373030 +20 10 1.37779968221158 0.9648967647 0.9252212823 1.277293364 +25 10 1.35376577181303 1.064957638 0.9136299345 1.211555564 +30 10 1.33234732871639 1.158539861 0.9011228739 1.140624498 +35 10 1.31350070023682 1.245655082 0.8877716278 1.064905819 +40 10 1.29717906155724 1.326306690 0.8736386937 0.9847539668 +45 10 1.28333529546524 1.400482809 0.8587794149 0.9004828088 + +-45 15 1.86631512103078 -0.7966160673 1.047427228 1.296616067 +-40 15 1.81252133440882 -0.6412722109 1.064441785 1.360115258 +-35 15 1.75988017085249 -0.4859552865 1.077296599 1.408090077 +-30 15 1.70890490019057 -0.3323366126 1.086288766 1.441649302 +-25 15 1.65999268449037 -0.1817292113 1.091734488 1.461973011 +-20 15 1.61343882729396 -0.03512623093 1.093951560 1.470247236 +-15 15 1.56944658852660 0.1067550572 1.093244943 1.467610106 +-10 15 1.52814883273277 0.2434224082 1.089899256 1.455123831 +-5 15 1.48962460458969 0.3745625705 1.084173864 1.433756380 +0 15 1.45390550199155 0.5000000000 1.076298434 1.404364873 +5 15 1.42099679118735 0.6196584591 1.066474766 1.367702446 +10 15 1.39088140654129 0.7335302649 1.054876183 1.324415946 +15 15 1.36352879609223 0.8416496027 1.041649603 1.275053676 +20 15 1.33890260996874 0.9440713184 1.026918357 1.220075920 +25 15 1.31696312670913 1.040853127 1.010784427 1.159863273 +30 15 1.29767290588509 1.132042585 0.9933319846 1.094729870 +35 15 1.28099828797299 1.217666495 0.9746302307 1.024933974 +40 15 1.26690658922453 1.297720422 0.9547355939 0.9506861790 +45 15 1.25537314121857 1.372166210 0.9336962316 0.8721662098 + +-45 20 1.81598262284961 -0.7435686993 1.152621991 1.243568699 +-40 20 1.76077540917140 -0.5902212319 1.172897452 1.299275070 +-35 20 1.70753048384664 -0.4385716698 1.187872712 1.340419259 +-30 20 1.65664862849887 -0.2900076263 1.198032609 1.368333347 +-25 20 1.60840394221268 -0.1455265620 1.203857164 1.384336179 +-20 20 1.56297079899579 -0.005801697136 1.205801697 1.389678742 +-15 20 1.52044256857904 0.1287552332 1.204282336 1.385504332 +-10 20 1.48085034618974 0.2579335965 1.199668090 1.372826793 +-5 20 1.44418803134479 0.3816689811 1.192280565 1.352529736 +0 20 1.41041856747347 0.5000000000 1.182391561 1.325359920 +5 20 1.37949355103113 0.6130302107 1.170228149 1.291941220 +10 20 1.35135701783888 0.7208988464 1.155974489 1.252779612 +15 20 1.32595530996919 0.8237570297 1.139777112 1.208277684 +20 20 1.30323987247571 0.9217487235 1.121748723 1.158745094 +25 20 1.28317419772666 1.014996890 1.101973966 1.104414395 +30 20 1.26573114979362 1.103590432 1.080512425 1.045449295 +35 20 1.25089777795825 1.187576138 1.057404390 0.9819604915 +40 20 1.23867103750833 1.266949298 1.032674101 0.9140145816 +45 20 1.22906181488225 1.341650566 1.006335754 0.8416505661 + +-45 25 1.76497046451116 -0.6852534446 1.252692758 1.185253445 +-40 25 1.70894816807178 -0.5344719540 1.274880713 1.232835668 +-35 25 1.65572063611676 -0.3871637821 1.290812356 1.267001187 +-30 25 1.60553873002885 -0.2443644102 1.301199728 1.289276978 +-25 25 1.55852495600239 -0.1067051207 1.306705121 1.301083330 +-20 25 1.51471027068094 0.02549381374 1.307922977 1.303695032 +-15 25 1.47406358006147 0.1521421167 1.305371464 1.298223294 +-10 25 1.43650851241668 0.2733129129 1.299488089 1.285606356 +-5 25 1.40195121097123 0.3891847765 1.290636378 1.266623801 +0 25 1.37028681378097 0.5000000000 1.279108231 1.241901610 +5 25 1.34141616217507 0.6060303174 1.265133207 1.211932073 +10 25 1.31524836065214 0.7075517250 1.248883435 1.177084324 +15 25 1.29171161411032 0.8048254322 1.230482783 1.137624000 +20 25 1.27075145345714 0.8980823512 1.210011071 1.093722271 +25 25 1.25233832755320 0.9875122937 1.187512294 1.045473488 +30 25 1.23646262613700 1.073252302 1.162997859 0.9929021131 +35 25 1.22313998895131 1.155379582 1.136454196 0.9359790439 +40 25 1.21240930930989 1.233903726 1.107847787 0.8746324015 +45 25 1.20432818887175 1.308758086 1.077130089 0.8087580857 + +-45 30 1.71317791803766 -0.6215382126 1.347520389 1.121538213 +-40 30 1.65703638689679 -0.4741035597 1.370240972 1.160891417 +-35 30 1.60451791641143 -0.3319624240 1.385987658 1.188165477 +-30 30 1.55567905302056 -0.1957208227 1.395720823 1.205023813 +-25 30 1.51046720924596 -0.06559985672 1.400287083 1.212932807 +-20 30 1.46875531537194 0.05845311491 1.400406761 1.213140096 +-15 30 1.43038067873106 0.1766701368 1.396679030 1.206683477 +-10 30 1.39516127321845 0.2893951234 1.389586935 1.194399608 +-5 30 1.36291883009388 0.3970303129 1.379511770 1.176948910 +0 30 1.33348657258702 0.5000000000 1.366743286 1.154833247 +5 30 1.30672067176808 0.5987238681 1.351492999 1.128418975 +10 30 1.28250142095264 0.6935984454 1.333902504 1.097951343 +15 30 1.26074240536884 0.7849840435 1.314055272 1.063574930 +20 30 1.24138670335288 0.8731938372 1.291981272 1.025341641 +25 30 1.22441443553975 0.9584863710 1.267666486 0.9832271956 +30 30 1.20983874907075 1.041056337 1.241056337 0.9371370653 +35 30 1.19770924479309 1.121027086 1.212062690 0.8869185954 +40 30 1.18811046648522 1.198441292 1.180568997 0.8323699188 +45 30 1.18115709486416 1.273248828 1.146435419 0.7732488278 + +-45 35 1.66055556570792 -0.5522729301 1.436809438 1.052272930 +-40 35 1.60508886156047 -0.4091945274 1.458699966 1.083535844 +-35 35 1.55402636124150 -0.2731946459 1.473194646 1.104236392 +-30 35 1.50719535785975 -0.1443788527 1.481499471 1.116096912 +-25 35 1.46434692727118 -0.02252429538 1.484622436 1.120556968 +-20 35 1.42519430453220 0.09279590212 1.483381035 1.118784064 +-15 35 1.38944520801754 0.2021200874 1.478422799 1.111702968 +-10 35 1.35682131643784 0.3060354690 1.470247561 1.100027518 +-5 35 1.32706980469921 0.4051368294 1.459228733 1.084291002 +0 35 1.29997170901213 0.5000000000 1.445633140 1.064874483 +5 35 1.27534679147791 0.5911658451 1.429637526 1.042030378 +10 35 1.25305282903730 0.6791302962 1.411339712 1.015898392 +15 35 1.23299203151132 0.7643382816 1.390771469 0.9865238972 +20 35 1.21510732159584 0.8471784017 1.367903337 0.9538648191 +25 35 1.19938892252727 0.9279790806 1.342653350 0.9178041002 +30 35 1.18587235382440 1.007002004 1.314889512 0.8781532304 +35 35 1.17463925135377 1.084433316 1.284433316 0.8346572759 +40 35 1.16582130898609 1.160373628 1.251065183 0.7870026431 +45 35 1.15959722461502 1.234822004 1.214527907 0.7348220045 + +-45 40 1.60711929422937 -0.4773220319 1.520070557 0.9773220319 +-40 40 1.55322186225338 -0.3398522279 1.539852228 1.000896910 +-35 40 1.50440675210982 -0.2111091350 1.552163652 1.015569094 +-30 40 1.46025144978459 -0.09064505696 1.558421786 1.023027248 +-25 40 1.42030364483706 0.02221770833 1.559747717 1.024607431 +-20 40 1.38412533059933 0.1282607435 1.557010392 1.021345213 +-15 40 1.35130895577002 0.2282937098 1.550865218 1.014021680 +-10 40 1.32149552368006 0.3231063364 1.541796345 1.003213818 +-5 40 1.29437350080919 0.4134449953 1.530144953 0.9893282304 +0 40 1.26968509150354 0.5000000000 1.516137845 0.9726352089 +5 40 1.24722393530406 0.5834021042 1.499905634 0.9532904127 +10 40 1.22683234176000 0.6642221737 1.481495633 0.9313502284 +15 40 1.20840526055391 0.7429727924 1.460884475 0.9067868063 +20 40 1.19188609098316 0.8201089089 1.437981412 0.8794919989 +25 40 1.17727057416303 0.8960273107 1.412633311 0.8492833085 +30 40 1.16461036342776 0.9710636340 1.384626548 0.8159061476 +35 40 1.15401407672391 1.045484092 1.353685480 0.7790320194 +40 40 1.14565453296845 1.119473969 1.319473969 0.7382603282 +45 40 1.13977348828880 1.193119512 1.281596327 0.6931195124 + +-45 45 1.55298528956801 -0.3966164750 1.596616475 0.8966164750 +-40 45 1.50163042502510 -0.2662423709 1.613172098 0.9131720983 +-35 45 1.45587635692358 -0.1459906928 1.622570320 0.9225703202 +-30 45 1.41504143106031 -0.03483538878 1.626362067 0.9263620670 +-25 45 1.37848608687556 0.06833312929 1.625712592 0.9257125916 +-20 45 1.34564049659901 0.1646077595 1.621482607 0.9214826073 +-15 45 1.31600865590570 0.2550160558 1.614292527 0.9142925269 +-10 45 1.28917289222827 0.3404983341 1.604578898 0.9045788978 +-5 45 1.26478381674992 0.4219049299 1.592630736 0.8926307364 +0 45 1.24255996388395 0.5000000000 1.578622576 0.8786225765 +5 45 1.22227984174779 0.5754706288 1.562633235 0.8626332348 +10 45 1.20377685935251 0.6489361245 1.544658735 0.8446587352 +15 45 1.18694050005634 0.7209570309 1.524622866 0.8246228657 +20 45 1.17171285184045 0.7920418935 1.502378508 0.8023785078 +25 45 1.15809055823453 0.8626509778 1.477707532 0.7777075316 +30 45 1.14613280366098 0.9331974811 1.450320047 0.7503200470 +35 45 1.13596543257034 1.004042183 1.419846839 0.7198468386 +40 45 1.12778983284384 1.075481384 1.385832007 0.6858320070 +45 45 1.12189697643767 1.147727521 1.347727521 0.6477275213 + + +### +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 1.77570787342239 1.525205419 -0.3252054187 1.025205419 +45 -40 1.70921527113960 1.539408678 -0.1721674388 1.039408678 +45 -35 1.64862510642603 1.544712750 -0.03151574275 1.044712750 +45 -30 1.59340601701133 1.543129098 0.09774913449 1.043129098 +45 -25 1.54298213276518 1.536178749 0.2168219142 1.036178749 +45 -20 1.49679271035280 1.524990295 0.3269340423 1.024990295 +45 -15 1.45431507676411 1.510380441 0.4292693767 1.010380441 +45 -10 1.41508343782424 1.492927034 0.5249201740 0.9929270342 +45 -5 1.37868844560091 1.473019789 0.6148717991 0.9730197890 +45 0 1.34478432038143 1.450906112 0.7000000000 0.9509061122 +45 5 1.31307840547591 1.426715007 0.7810770575 0.9267150073 +45 10 1.28333530824069 1.400482818 0.8587794164 0.9004828178 +45 15 1.25537315669434 1.372166221 0.9336962345 0.8721662206 +45 20 1.22906182809845 1.341650575 1.006335757 0.8416505751 +45 25 1.20432819848110 1.308758092 1.077130092 0.8087580922 +45 30 1.18115710975497 1.273248838 1.146435425 0.7732488376 +45 35 1.15959724231094 1.234822016 1.214527915 0.7348220157 +45 40 1.13977353672856 1.193119542 1.281596352 0.6931195418 +45 45 1.12189699737913 1.147727533 1.347727533 0.6477275334 + +50 -45 1.78955203764579 1.588263105 -0.3882631053 0.9131611703 +50 -40 1.71971045562059 1.608182239 -0.2298753079 0.9298753079 +50 -35 1.65532991188756 1.617451711 -0.08244811128 0.9376533181 +50 -30 1.59612945964564 1.618221063 0.05439476828 0.9382988815 +50 -25 1.54172761817189 1.612202718 0.1813713552 0.9332488905 +50 -20 1.49170670682099 1.600729443 0.2993672467 0.9236216698 +50 -15 1.44564286707370 1.584809808 0.4093260881 0.9102635096 +50 -10 1.40314147846634 1.565195375 0.5121773157 0.8938050463 +50 -5 1.36383956902614 1.542423216 0.6087997860 0.8746969360 +50 0 1.32742451262693 1.516866172 0.7000000000 0.8532520295 +50 5 1.29362664296235 1.488757385 0.7865050621 0.8296659568 +50 10 1.26222904728583 1.458221651 0.8689603305 0.8040434335 +50 15 1.23306459722159 1.425291162 0.9479310197 0.7764114730 +50 20 1.20601731075424 1.389919417 1.023904179 0.7467310546 +50 25 1.18102847575650 1.351994260 1.097291448 0.7149080691 +50 30 1.15809399513220 1.311340891 1.168427882 0.6807958426 +50 35 1.13726922556542 1.267728193 1.237569068 0.6442004433 +50 40 1.11867827437892 1.220876814 1.304887469 0.6048874690 +50 45 1.10251491873897 1.170461816 1.370461816 0.5625842626 + +55 -45 1.80152326318294 1.641602366 -0.4416023661 0.7993585824 +55 -40 1.72903879578089 1.667209839 -0.2794053454 0.8172891279 +55 -35 1.66151400370443 1.680613325 -0.1266743499 0.8266743499 +55 -30 1.59889636024257 1.684002645 0.01641575407 0.8290475774 +55 -25 1.54099961589307 1.679213631 0.1501236534 0.8256942733 +55 -20 1.48755699345944 1.667739061 0.2749777405 0.8176596930 +55 -15 1.43826139253711 1.650761074 0.3916544996 0.8057715785 +55 -10 1.39280417807342 1.629200216 0.5008915353 0.7906745033 +55 -5 1.35088339147020 1.603748047 0.6034345585 0.7728527031 +55 0 1.31223075013490 1.574916502 0.7000000000 0.7526646373 +55 5 1.27660634909221 1.543059508 0.7912558823 0.7303581300 +55 10 1.24381439604760 1.508408437 0.8778096151 0.7060951893 +55 15 1.21370113653889 1.471089143 0.9602025516 0.6799639382 +55 20 1.18615816810492 1.431139601 1.038907099 0.6519909677 +55 25 1.16112942871817 1.388526924 1.114326909 0.6221532504 +55 30 1.13860647412848 1.343152258 1.186794183 0.5903815672 +55 35 1.11863266805044 1.294860971 1.256567643 0.5565676434 +55 40 1.10130988167675 1.243453376 1.323831453 0.5205716581 +55 45 1.08679417195977 1.188687636 1.388687636 0.4822242745 + +60 -45 1.81166785135559 1.686015009 -0.4860150090 0.6847460847 +60 -40 1.73713359445685 1.717006154 -0.3211894147 0.7026388305 +60 -35 1.66704901748291 1.734470536 -0.1643855748 0.7127218961 +60 -30 1.60155792109101 1.740561431 -0.01623847629 0.7162384763 +60 -25 1.54065448107208 1.737173739 0.1230964112 0.7142825910 +60 -20 1.48422079746672 1.725914039 0.2538037799 0.7077818006 +60 -15 1.43207394858456 1.708111937 0.3762873822 0.6975037518 +60 -10 1.38399979702729 1.684844252 0.4910799905 0.6840701477 +60 -5 1.33976733055862 1.656956426 0.5987794285 0.6679691041 +60 0 1.29915875259969 1.625104483 0.7000000000 0.6495793763 +60 5 1.26196800210375 1.589772796 0.7953427655 0.6291806170 +60 10 1.22802110812175 1.551310668 0.8853744359 0.6069744971 +60 15 1.19717384589466 1.509947856 0.9706147123 0.5830936663 +60 20 1.16931874500717 1.465816049 1.051528293 0.5576141556 +60 25 1.14439259187202 1.418968191 1.128521905 0.5305665324 +60 30 1.12237090236798 1.369384763 1.201939527 0.5019395267 +60 35 1.10327340465901 1.316987681 1.272060933 0.4716880575 +60 40 1.08716613797877 1.261650045 1.339100272 0.4397388584 +60 45 1.07415596801568 1.203200147 1.403200147 0.4059927944 + +65 -45 1.82006441978052 1.722251401 -0.5222514010 0.5699451885 +65 -40 1.74396787334545 1.758098892 -0.3556703166 0.5866611482 +65 -35 1.67184290482565 1.779338373 -0.1958023728 0.5965652808 +65 -30 1.60399396657762 1.788036504 -0.04364822255 0.6006212860 +65 -25 1.54056957158008 1.786093868 0.1002845805 0.5997154195 +65 -20 1.48159117211328 1.775189776 0.2358688785 0.5946307581 +65 -15 1.42699729975310 1.756771526 0.3632490845 0.5860421872 +65 -10 1.37666874259306 1.732052626 0.4827558804 0.5745155748 +65 -5 1.33044851165219 1.702023107 0.5948366048 0.5605125801 +65 0 1.28817168758068 1.667480031 0.7000000000 0.5444048794 +65 5 1.24966713196326 1.629039385 0.7987781468 0.5264797114 +65 10 1.21478137410524 1.587171181 0.8916976118 0.5069562472 +65 15 1.18337730731570 1.542212837 0.9792600881 0.4859918275 +65 20 1.15534361449733 1.494391970 1.061929078 0.4636925910 +65 25 1.13060266860989 1.443846474 1.140122839 0.4401228391 +65 30 1.10910602853903 1.390632435 1.214206876 0.4153087250 +65 35 1.09084217071940 1.334741257 1.284492121 0.3892462408 +65 40 1.07583457210942 1.276107349 1.351231391 0.3619048006 +65 45 1.06413824342831 1.214614518 1.414614518 0.3332302226 + +70 -45 1.82679242946047 1.750971158 -0.5509711585 0.4553162656 +70 -40 1.74953369797672 1.790979818 -0.3832606894 0.4698782269 +70 -35 1.67582925622984 1.815533650 -0.2211465787 0.4788150909 +70 -30 1.60610678469629 1.826587567 -0.06590568864 0.4828383874 +70 -25 1.54063980764204 1.826012309 0.08167030548 0.4826290108 +70 -20 1.47957188645481 1.815526559 0.2211874901 0.4788125099 +70 -15 1.42295245284147 1.796666397 0.3525592861 0.4719479722 +70 -10 1.37075113757652 1.770758989 0.4759309043 0.4625184469 +70 -5 1.32288196445690 1.738922602 0.5916083173 0.4509309497 +70 0 1.27923108545857 1.702084011 0.7000000000 0.4375227992 +70 5 1.23966069247936 1.660983135 0.8015728629 0.4225633037 +70 10 1.20403524260627 1.616204514 0.8968169718 0.4062652185 +70 15 1.17222146275324 1.568187611 0.9862200076 0.3887884948 +70 20 1.14410069516902 1.517250236 1.070248807 0.3702488067 +70 25 1.11957692943720 1.463607965 1.149337773 0.3507246166 +70 30 1.09857468266217 1.407383948 1.223878367 0.3302607481 +70 35 1.08104883464416 1.348628292 1.294215927 0.3088754383 +70 40 1.06698128981924 1.287324824 1.360643970 0.2865628008 +70 45 1.05637921382123 1.223399061 1.423399061 0.2632957259 + +75 -45 1.83193395520858 1.772729870 -0.5727298696 0.3410269407 +75 -40 1.75384236556715 1.816082584 -0.4043244105 0.3526432655 +75 -35 1.67896672148126 1.843350769 -0.2406243347 0.3599497536 +75 -30 1.60782323479562 1.856375796 -0.08310393096 0.3634397992 +75 -25 1.54078229065951 1.856983164 0.06722835857 0.3636025430 +75 -20 1.47808654063140 1.846907372 0.2097658082 0.3609027426 +75 -15 1.41987820614356 1.827746749 0.3442313309 0.3557686691 +75 -10 1.36620255088128 1.800916408 0.4706133376 0.3485795010 +75 -5 1.31703635215098 1.767641033 0.5890957802 0.3396633910 +75 0 1.27231056188627 1.728957631 0.7000000000 0.3292982047 +75 5 1.23191638356872 1.685713480 0.8037364877 0.3177109695 +75 10 1.19573289310191 1.638592912 0.9007646504 0.3050850512 +75 15 1.16362813443292 1.588123943 0.9915619318 0.2915619318 +75 20 1.13547540222614 1.534702738 1.076600998 0.2772477630 +75 25 1.11116020879072 1.478610479 1.156333561 0.2622178876 +75 30 1.09058116947169 1.420025205 1.231176800 0.2465200108 +75 35 1.07366194187317 1.359042991 1.301508378 0.2301798758 +75 40 1.06034781374297 1.295684560 1.367658620 0.2132030352 +75 45 1.05060556634615 1.229904635 1.429904635 0.1955773576 + +80 -45 1.83555296543272 1.787959504 -0.5879595036 0.2271020105 +80 -40 1.75690394578735 1.833754284 -0.4191527275 0.2351768658 +80 -35 1.68122308956154 1.863032582 -0.2544056891 0.2403394199 +80 -30 1.60908495639273 1.877539986 -0.09532308178 0.2428974665 +80 -25 1.54092849650188 1.879057243 0.05693504651 0.2431649999 +80 -20 1.47706911853973 1.869321395 0.2016077712 0.2414483072 +80 -15 1.41771880986618 1.849970881 0.3382763925 0.2380362896 +80 -10 1.36298068286970 1.822483154 0.4668105385 0.2331894615 +80 -5 1.31287988951369 1.788161825 0.5873004436 0.2271376852 +80 0 1.26738286573264 1.748128472 0.7000000000 0.2200787250 +80 5 1.22640334331022 1.703313404 0.8052762815 0.2121766193 +80 10 1.18983118795732 1.654478359 0.9035656833 0.2035656833 +80 15 1.15753456412347 1.602219950 0.9953389455 0.1943511159 +80 20 1.12937896818820 1.546994189 1.081074720 0.1846133242 +80 25 1.10523419505360 1.489131699 1.161239686 0.1744106060 +80 30 1.08497767782778 1.428850978 1.236272362 0.1637814885 +80 35 1.06850813253215 1.366280869 1.306576395 0.1527486901 +80 40 1.05574253617210 1.301467339 1.372510948 0.1413203160 +80 45 1.04661730228673 1.234383985 1.434383985 0.1294917107 + +85 -45 1.83770431925233 1.796973710 -0.5969737105 0.1134704966 +85 -40 1.75873582099604 1.844254187 -0.4279631922 0.1176070022 +85 -35 1.68258425240480 1.874766390 -0.2626217895 0.1202764741 +85 -30 1.60985759212930 1.890192942 -0.1026282691 0.1216261225 +85 -25 1.54103557206670 1.892282640 0.05076794255 0.1218089474 +85 -20 1.47647801829435 1.882770374 0.1967127432 0.1209767319 +85 -15 1.41643978470055 1.863316349 0.3347004852 0.1192747254 +85 -10 1.36106050386116 1.835435325 0.4645267212 0.1168354518 +85 -5 1.31039584105403 1.800479433 0.5862227925 0.1137772075 +85 0 1.26443463226417 1.759623077 0.7000000000 0.1102027395 +85 5 1.22310504152092 1.713849205 0.8061980447 0.1061980447 +85 10 1.18630350589701 1.663968540 0.9052390584 0.1018340520 +85 15 1.15389768533347 1.610620866 0.9975899640 0.09716673521 +85 20 1.12574761532612 1.554299780 1.083733738 0.09223927875 +85 25 1.10171297954259 1.495366936 1.164147225 0.08708332297 +85 30 1.08165742525847 1.434065550 1.239282997 0.08172014665 +85 35 1.06546364610930 1.370543991 1.309561465 0.07616273031 +85 40 1.05303079440421 1.304862809 1.375360087 0.07041637152 +85 45 1.04427654383854 1.237006062 1.437006062 0.06447967539 + +90 -45 1.83841591652745 1.799956361 -0.5999563612 0.000000000 +90 -40 1.75934330281347 1.847735161 -0.4308840762 0.000000000 +90 -35 1.68303682654383 1.878663057 -0.2653502652 0.000000000 +90 -30 1.61011535158587 1.894400797 -0.1050576758 0.000000000 +90 -25 1.54107212954110 1.896685671 0.04871477540 0.000000000 +90 -20 1.47628191206830 1.887251219 0.1950818488 0.000000000 +90 -15 1.41601397315473 1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044913038 1.839752606 0.4637654681 0.000000000 +90 -5 1.30956743389295 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137366046 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541956191 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822062414 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720149242 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041112298 1.556722326 1.084615473 0.000000000 +90 25 1.10054399700729 1.497431594 1.165109991 0.000000000 +90 30 1.08055683204505 1.435789667 1.240278416 0.000000000 +90 35 1.06445609492236 1.371951386 1.310546934 0.000000000 +90 40 1.05213486260284 1.305982065 1.376299253 0.000000000 +90 45 1.04350448190929 1.237869095 1.437869095 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 1.12189704039560 1.147727558 1.347727558 0.6477275583 +40 45 1.12778994906841 1.075481443 1.385832078 0.6858320777 +35 45 1.13596550376311 1.004042214 1.419846884 0.7198468837 +30 45 1.14613281769102 0.9331974864 1.450320056 0.7503200562 +25 45 1.15809056545716 0.8626509800 1.477707536 0.7777075364 +20 45 1.17171286540120 0.7920418968 1.502378517 0.8023785171 +15 45 1.18694050312307 0.7209570315 1.524622868 0.8246228678 +10 45 1.20377686850449 0.6489361256 1.544658742 0.8446587416 +5 45 1.22227985012402 0.5754706293 1.562633241 0.8626332408 +0 45 1.24255997492981 0.5000000000 1.578622584 0.8786225843 +-5 45 1.26478383191755 0.4219049289 1.592630747 0.8926307471 +-10 45 1.28917291777710 0.3404983310 1.604578916 0.9045789157 +-15 45 1.31600869138568 0.2550160492 1.614292552 0.9142925515 +-20 45 1.34564056946619 0.1646077414 1.621482657 0.9214826572 +-25 45 1.37848616838830 0.06833310377 1.625712646 0.9257126463 +-30 45 1.41504159414286 -0.03483545042 1.626362174 0.9263621738 +-35 45 1.45587650386383 -0.1459907580 1.622570413 0.9225704133 +-40 45 1.50163075569388 -0.2662425396 1.613172299 0.9131722994 +-45 45 1.55298541981000 -0.3966165502 1.596616550 0.8966165502 + +45 50 1.10251499122685 1.170461860 1.370461860 0.5625842996 +40 50 1.10627364029786 1.098180082 1.412883262 0.5981800823 +35 50 1.11270501239992 1.025957955 1.451145805 0.6302861680 +30 50 1.12153860962660 0.9536418958 1.485730812 0.6593064345 +25 50 1.13257859242308 0.8809931752 1.517042501 0.6855800611 +20 50 1.14569710128388 0.8077037745 1.545409172 0.7093825247 +15 50 1.16082841849416 0.7334065662 1.571085164 0.7309272396 +10 50 1.17796797496586 0.6576812535 1.594254826 0.7503688948 +5 50 1.19716641105365 0.5800547479 1.615029956 0.7678012982 +0 50 1.21852768521412 0.5000000000 1.633446362 0.7832544981 +-5 50 1.24221276717620 0.4169329936 1.649460228 0.7966917268 +-10 50 1.26843623040492 0.3302087841 1.662933836 0.8079974265 +-15 50 1.29747019530504 0.2391190135 1.673621096 0.8169651029 +-20 50 1.32964775140479 0.1428919726 1.681146242 0.8232794495 +-25 50 1.36535813673596 0.04070107340 1.684969727 0.8264877344 +-30 50 1.40505188581445 -0.06831784091 1.684355375 0.8259722324 +-35 50 1.44922364794707 -0.1850249597 1.678317031 0.8209054597 +-40 50 1.49840308882383 -0.3102108288 1.665571666 0.8102108288 +-45 50 1.55311024116214 -0.4444780248 1.644478025 0.7925111623 + +45 55 1.08679421182517 1.188687662 1.388687662 0.4822242922 +40 55 1.08856948355300 1.116614719 1.434852806 0.5145494746 +35 55 1.09331599613787 1.043971515 1.476871835 0.5439715153 +30 55 1.10080027970703 0.9706307099 1.515156301 0.5707785869 +25 55 1.11084955356342 0.8963854941 1.550051435 0.5952124228 +20 55 1.12334985312226 0.8209616135 1.581834786 0.6174673643 +15 55 1.13824259561596 0.7440251713 1.610714338 0.6376890444 +10 55 1.15552544343369 0.6651882587 1.636829169 0.6559748459 +5 55 1.17524924090103 0.5840105538 1.660245024 0.6723708044 +0 55 1.19751476485100 0.5000000000 1.680946668 0.6868662513 +-5 55 1.22247742170514 0.4126134256 1.698833116 0.6993904772 +-10 55 1.25034177770000 0.3212572624 1.713700438 0.7098006881 +-15 55 1.28136404488768 0.2252913555 1.725226619 0.7178714067 +-20 55 1.31585097279446 0.1240372933 1.732949047 0.7232787095 +-25 55 1.35415179033449 0.01679673928 1.736232737 0.7255779735 +-30 55 1.39665676410229 -0.09711972874 1.734241708 0.7241838405 +-35 55 1.44377401817960 -0.2183393851 1.725894961 0.7183393851 +-40 55 1.49591241364023 -0.3473520766 1.709834881 0.7070939964 +-45 55 1.55343760884323 -0.4843936440 1.684393644 0.6892798501 + +45 60 1.07415598944388 1.203200161 1.403200161 0.4059928025 +40 60 1.07416030161468 1.131454675 1.452538378 0.4344782350 +35 60 1.07735538964817 1.058622121 1.497795068 0.4606071975 +30 60 1.08355375448241 0.9845799705 1.539317129 0.4845799705 +25 60 1.09261635279175 0.9091341069 1.577390924 0.5065618859 +20 60 1.10445374626755 0.8320281508 1.612239847 0.5266819213 +15 60 1.11902429662413 0.7529494268 1.644020113 0.5450302661 +10 60 1.13633657533750 0.6715343085 1.672819405 0.5616575455 +5 60 1.15644719812480 0.5873705782 1.698650278 0.5765710069 +0 60 1.17945739322816 0.5000000000 1.721440065 0.5897286966 +-5 60 1.20551798873467 0.4089220815 1.741025372 0.6010362788 +-10 60 1.23482168274221 0.3135989917 1.757132650 0.6103358199 +-15 60 1.26760465104883 0.2134647828 1.769363989 0.6173975868 +-20 60 1.30414059912926 0.1079406738 1.777174146 0.6219067830 +-25 60 1.34473142101945 -0.003539497180 1.779843936 0.6234481874 +-30 60 1.38969865435959 -0.1214921319 1.776455949 0.6214921319 +-35 60 1.43936048815688 -0.2463262507 1.765864347 0.6153770678 +-40 60 1.49400602542152 -0.3782647135 1.746675128 0.6042981667 +-45 60 1.55386091690885 -0.5172407530 1.717240753 0.5873042226 + +45 65 1.06413825974249 1.214614529 1.414614529 0.3332302277 +40 65 1.06262136175184 1.143233082 1.466575336 0.3574599497 +35 65 1.06445040745060 1.070350957 1.514545582 0.3798288430 +30 65 1.06948532537084 0.9958378135 1.558816285 0.4004726108 +25 65 1.07762536281046 0.9194997477 1.599620112 0.4194997477 +20 65 1.08881141493885 0.8410868481 1.637128413 0.4369901558 +15 65 1.10302568073690 0.7602982556 1.671446315 0.4529928561 +10 65 1.12029286515946 0.6767869275 1.702608488 0.4675240161 +5 65 1.14067988684543 0.5901634063 1.730572450 0.4805638256 +0 65 1.16429142108527 0.5000000000 1.755206381 0.4920508165 +-5 65 1.19127489602894 0.4058373837 1.776283629 0.5018792984 +-10 65 1.22181041820852 0.3071931755 1.793461839 0.5098896292 +-15 65 1.25611179415827 0.2035756152 1.806270865 0.5158625762 +-20 65 1.29441632521141 0.09450426540 1.814090374 0.5195088735 +-25 65 1.33697574851648 -0.02046008613 1.816130257 0.5204600861 +-30 65 1.38404090262808 -0.1416729605 1.811410169 0.5182590734 +-35 65 1.43584333882894 -0.2693497195 1.798745268 0.5123533330 +-40 65 1.49256251272121 -0.4034879394 1.776734998 0.5020897752 +-45 65 1.55430237705341 -0.5437807790 1.743780779 0.4867229707 + +45 70 1.05637922189255 1.223399067 1.423399067 0.2632957279 +40 70 1.05360936093440 1.152364458 1.477457687 0.2829714563 +35 70 1.05429181874324 1.079508502 1.527623912 0.3012304691 +30 70 1.05832991311725 1.004686805 1.574143187 0.3181621007 +25 70 1.06565969159946 0.9276983032 1.617201971 0.3338342163 +20 70 1.07625397422341 0.8482925510 1.656925919 0.3482925510 +15 70 1.09012039060273 0.7661734804 1.693372952 0.3615581862 +10 70 1.10730247760602 0.6810046025 1.726528112 0.3736256773 +5 70 1.12787993709393 0.5924139927 1.756296770 0.3844605829 +0 70 1.15196291524218 0.5000000000 1.782491051 0.3939945214 +-5 70 1.17969675138739 0.4033403438 1.804824926 0.4021233872 +-10 70 1.21124955552263 0.3020037444 1.822892565 0.4086994698 +-15 70 1.24681262554721 0.1955671513 1.836158859 0.4135280060 +-20 70 1.28658727772532 0.08364031561 1.843938831 0.4163596844 +-25 70 1.33077693294983 -0.03410205964 1.845385563 0.4168862517 +-30 70 1.37956644840151 -0.1578751804 1.839473237 0.4147343412 +-35 70 1.43310917446281 -0.2877315712 1.824997273 0.4094655211 +-40 70 1.49149040269904 -0.4234877406 1.800569833 0.4005746598 +-45 70 1.55471282180453 -0.5646534704 1.764653470 0.3875021730 + +45 75 1.05060556981927 1.229904638 1.429904638 0.1955773582 +40 75 1.04685899463977 1.159165250 1.485562555 0.2104908523 +35 75 1.04663446414285 1.086366504 1.537418154 0.2243855180 +30 75 1.04987145237880 1.011348787 1.585682080 0.2373177981 +25 75 1.05653824091630 0.9339012987 1.630504338 0.2493278859 +20 75 1.06663656020444 0.8537693482 1.671973296 0.2604394597 +15 75 1.08019783322019 0.7706574013 1.710107173 0.2706574013 +10 75 1.09728396000883 0.6842349841 1.744848516 0.2799663161 +5 75 1.11798759107288 0.5941428392 1.776057576 0.2883287585 +0 75 1.14242504363102 0.5000000000 1.803497854 0.2956813589 +-5 75 1.17074039062315 0.4014149842 1.826831887 0.3019336941 +-10 75 1.20309064684452 0.2979999760 1.845599063 0.3069623439 +-15 75 1.23964730698047 0.1893904910 1.859210469 0.3106095090 +-20 75 1.28057974539896 0.07527251671 1.866929170 0.3126777287 +-25 75 1.32604887106575 -0.04458447883 1.867865184 0.3129285328 +-30 75 1.37618319943826 -0.1702816889 1.860961940 0.3110788144 +-35 75 1.43107073606013 -0.3017430851 1.845007789 0.3068039123 +-40 75 1.49072128488104 -0.4386475869 1.818636634 0.2997377827 +-45 75 1.55505822251758 -0.5803713983 1.780371398 0.2894846437 + +45 80 1.04661730449286 1.234383986 1.434383986 0.1294917110 +40 80 1.04217356134525 1.163867474 1.491166447 0.1395039908 +35 80 1.04129450756741 1.091127619 1.544217731 0.1488583635 +30 80 1.04394664288103 1.015991936 1.593724249 0.1575876984 +25 80 1.05012304419804 0.9382405336 1.639809857 0.1657138346 +20 80 1.05984822912246 0.8576136787 1.682535507 0.1732475194 +15 80 1.07317284544459 0.7738144901 1.721889589 0.1801867059 +10 80 1.09017401218599 0.6865155494 1.757782244 0.1865155494 +5 80 1.11095541644268 0.5953660603 1.790039057 0.1922032957 +0 80 1.13563908962694 0.5000000000 1.818386180 0.1972016584 +-5 80 1.16436800729462 0.4000489237 1.842446029 0.2014440590 +-10 80 1.19729096362507 0.2951580396 1.861716486 0.2048419604 +-15 80 1.23456374905482 0.1850074572 1.875568174 0.2072843867 +-20 80 1.27633067845670 0.06934087675 1.883226217 0.2086347063 +-25 80 1.32271954543495 -0.05200133225 1.883770677 0.2087307094 +-30 80 1.37381595321955 -0.1790365750 1.876125848 0.2073827197 +-35 80 1.42965888593218 -0.3115963804 1.859079753 0.2043770332 +-40 80 1.49020334068844 -0.4492636961 1.831288420 0.1994766714 +-45 80 1.55531664790769 -0.5913250097 1.791325010 0.1924300439 + +45 85 1.04427654486177 1.237006063 1.437006063 0.06447967546 +40 85 1.03941501158420 1.166627620 1.494455861 0.06950588151 +35 85 1.03814102482279 1.093929944 1.548219866 0.07420962244 +30 85 1.04043768169447 1.018732029 1.598470230 0.07860595965 +25 85 1.04631359144500 0.9408076867 1.645315135 0.08270435776 +20 85 1.05580777710740 0.8598933362 1.688798815 0.08650868679 +15 85 1.06898331779490 0.7756905670 1.728891203 0.09001631627 +10 85 1.08592732036533 0.6878732547 1.765482174 0.09321761138 +5 85 1.10675082737738 0.5960954046 1.798375501 0.09609540460 +0 85 1.13157982152233 0.5000000000 1.827273819 0.09862367982 +-5 85 1.16055646467273 0.3992328352 1.851773964 0.1007671648 +-10 85 1.19382441369200 0.2934597704 1.871347849 0.1024796579 +-15 85 1.23152951209234 0.1823888046 1.885341118 0.1037039103 +-20 85 1.27380014900484 0.06579957523 1.892955863 0.1043701141 +-25 85 1.32074312712485 -0.05642374085 1.893254563 0.1043962470 +-30 85 1.37241723496840 -0.1842473987 1.885151260 0.1036872998 +-35 85 1.42883110428952 -0.3174473002 1.867435732 0.1021373920 +-40 85 1.48990649327818 -0.4555498126 1.838779922 0.09963033343 +-45 85 1.55547718309292 -0.5977897764 1.797789776 0.09604416037 + +45 90 1.04350448256129 1.237869096 1.437869096 0.000000000 +40 90 1.03850370977423 1.167537317 1.495539996 0.000000000 +35 90 1.03709763944310 1.094854768 1.549540651 0.000000000 +30 90 1.03927496124074 1.019637481 1.600038518 0.000000000 +25 90 1.04504956846454 0.9416570321 1.647136562 0.000000000 +20 90 1.05446545611593 0.8606484264 1.690873408 0.000000000 +15 90 1.06758999850668 0.7763126240 1.731212751 0.000000000 +10 90 1.08451378059875 0.6883238417 1.768037579 0.000000000 +5 90 1.10535043407914 0.5963376381 1.801144242 0.000000000 +0 90 1.13022731903386 0.5000000000 1.830227319 0.000000000 +-5 90 1.15928635973912 0.3989615363 1.854874925 0.000000000 +-10 90 1.19266946402536 0.2928951210 1.874550135 0.000000000 +-15 90 1.23051905145768 0.1815182341 1.888590132 0.000000000 +-20 90 1.27295805128550 0.06462270485 1.896189287 0.000000000 +-25 90 1.32008608451948 -0.05789248639 1.896404298 0.000000000 +-30 90 1.37195282732543 -0.1859764137 1.888146001 0.000000000 +-35 90 1.42855664650790 -0.3193864304 1.870205097 0.000000000 +-40 90 1.48980818135022 -0.4576302398 1.841259279 0.000000000 +-45 90 1.55553009340625 -0.5999258774 1.799925877 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 1.55553008234692 -0.5999258696 1.799925870 1.347020695e-16 +-90 40 1.62544300725023 -0.7451615833 1.744814625 1.524883147e-16 +-90 35 1.69913630161123 -0.8918509750 1.674584545 1.704525841e-16 +-90 30 1.77608891252225 -1.038138118 1.588044456 1.883675922e-16 +-90 25 1.85566176839855 -1.181800711 1.484236551 2.059611857e-16 +-90 20 1.93708773366103 -1.320267049 1.362523024 2.229184215e-16 +-90 15 2.01952559285373 -1.450711927 1.222691686 2.388933117e-16 +-90 10 2.10204061116701 -1.570105891 1.065015522 2.535148553e-16 +-90 5 2.18364822074017 -1.675338780 0.8903174826 2.664021674e-16 +-90 -2.84217e-14 2.26333679983389 -1.763336800 0.7000000000 2.771788167e-16 +-90 -5 2.34009224581014 -1.831187488 0.4960475222 2.854881296e-16 +-90 -10 2.41291194319933 -1.876254389 0.2810022382 2.910072331e-16 +-90 -15 2.48082474822426 -1.896292695 0.05791530760 2.934612179e-16 +-90 -20 2.54292425162248 -1.889567154 -0.1697313170 2.926375767e-16 +-90 -25 2.59838186729393 -1.854933720 -0.3981236281 2.883962042e-16 +-90 -30 2.64645930627488 -1.791900989 -0.6232296531 2.806769211e-16 +-90 -35 2.68651039111499 -1.700660479 -0.8409190564 2.695031811e-16 +-90 -40 2.71799550041861 -1.582105350 -1.047093831 2.549843652e-16 +-90 -45 2.74049346535808 -1.437821513 -1.237821513 2.373146913e-16 + +-85 45 1.55547716637392 -0.5977897646 1.797789765 0.09604415934 +-85 40 1.62520129497981 -0.7421897699 1.742320978 0.1086775228 +-85 35 1.69863379901460 -0.8878797761 1.671803881 0.1214237467 +-85 30 1.77525329527251 -1.033020444 1.585089766 0.1341219098 +-85 25 1.85442518886079 -1.175421415 1.481261836 0.1465803804 +-85 20 1.93539491048592 -1.312561183 1.359718318 0.1585785554 +-85 15 2.01733877850384 -1.441678685 1.220271236 0.1698748732 +-85 10 2.09934332308925 -1.559818226 1.063201529 0.1802107437 +-85 5 2.18045230954836 -1.663951757 0.8893212471 0.1893212471 +-85 -2.84217e-14 2.25968086036603 -1.751082092 0.7000000000 0.1969441638 +-85 -5 2.33604222743592 -1.818364249 0.4971694103 0.2028305897 +-85 -10 2.40855963191598 -1.863212808 0.2833018208 0.2067543302 +-85 -15 2.47628169451084 -1.883408992 0.06136748537 0.2085212673 +-85 -20 2.53831462256119 -1.877215384 -0.1652356401 0.2079793968 +-85 -25 2.59383478774390 -1.843457356 -0.3927721115 0.2050259521 +-85 -30 2.64210061535670 -1.781586672 -0.6172746794 0.1996129687 +-85 -35 2.68245663130689 -1.691718610 -0.8346578924 0.1917505320 +-85 -40 2.71434368246128 -1.574653746 -1.040841193 0.1815086835 +-85 -45 2.73731594683898 -1.431881415 -1.231881415 0.1690177231 + +-80 45 1.55531660614137 -0.5913249804 1.791324980 0.1924300388 +-80 40 1.62447199290048 -0.7332185174 1.734793203 0.2174496977 +-80 35 1.69712230383178 -0.8759226904 1.663431440 0.2426122937 +-80 30 1.77274642267434 -1.017650807 1.576216102 0.2676027845 +-80 25 1.85072409961716 -1.156309479 1.472349794 0.2920520495 +-80 20 1.93033930582798 -1.289526893 1.351334523 0.3155418740 +-80 15 2.01081929854032 -1.414729128 1.213050124 0.3376184060 +-80 10 2.09131395984590 -1.529175847 1.057798450 0.3577984504 +-80 5 2.17094754703794 -1.630074332 0.8863573565 0.3755895756 +-80 -2.84217e-14 2.24881331767576 -1.714648790 0.7000000000 0.3905023345 +-80 -5 2.32400322586889 -1.780248376 0.5005041171 0.4020693114 +-80 -10 2.39561298466349 -1.824433394 0.2901396777 0.4098603223 +-80 -15 2.46275243942414 -1.845065931 0.07164147751 0.4134983952 +-80 -20 2.52456664606595 -1.840407147 -0.1518385374 0.4126769258 +-80 -25 2.58024888659399 -1.809199242 -0.3767972907 0.4071741302 +-80 -30 2.62905052844383 -1.750734005 -0.5994618837 0.3968651315 +-80 -35 2.67028782189674 -1.664905614 -0.8158832308 0.3817312705 +-80 -40 2.70335109625894 -1.552249990 -1.022042210 0.3618670444 +-80 -45 2.72772407517338 -1.413972635 -1.213972635 0.3374850159 + +-75 45 1.55505815620182 -0.5803713522 1.780371352 0.2894846314 +-75 40 1.62326277566639 -0.7180957135 1.722103664 0.3263877627 +-75 35 1.69461395351527 -0.8558702075 1.649390540 0.3633043271 +-75 30 1.76859457262703 -0.9920041080 1.561408973 0.3997812958 +-75 25 1.84461156730716 -1.124568803 1.457548874 0.4353018987 +-75 20 1.92201372888069 -1.251436326 1.337470690 0.4692959493 +-75 15 2.00010756602549 -1.370326839 1.201152566 0.5011525662 +-75 10 2.07815102026060 -1.478843297 1.048923464 0.5302294635 +-75 5 2.15538521612089 -1.574547705 0.8814994061 0.5558733821 +-75 -2.84217e-14 2.23103100797518 -1.655010470 0.7000000000 0.5774333151 +-75 -5 2.30430021982458 -1.717877666 0.5059608472 0.5942785294 +-75 -10 2.37440006644986 -1.760935616 0.3013360493 0.6058158724 +-75 -15 2.44053738083844 -1.782178541 0.08849210306 0.6115078969 +-75 -20 2.50192600158346 -1.779881782 -0.1298091063 0.6108924823 +-75 -25 2.55779393942451 -1.752676017 -0.3504400779 0.6036027195 +-75 -30 2.60738964602922 -1.699620039 -0.5699512217 0.5893864131 +-75 -35 2.64999165362529 -1.620273308 -0.7846313535 0.5681255207 +-75 -40 2.68492226150853 -1.514764551 -0.9905881919 0.5398545345 +-75 -45 2.71155882217566 -1.383846247 -1.183846247 0.5047750805 + +-70 45 1.55471267543741 -0.5646533702 1.764653370 0.3875021366 +-70 40 1.62157784920664 -0.6965612777 1.704034127 0.4355126886 +-70 35 1.69112190796493 -0.8275384521 1.629552431 0.4831844814 +-70 30 1.76284007314196 -0.9560437357 1.540647243 0.5299565796 +-70 25 1.83618154298888 -1.080381940 1.436944201 0.5752119848 +-70 20 1.91058035804281 -1.198747609 1.318293565 0.6182935652 +-70 15 1.98544702698622 -1.309239963 1.184784387 0.6585094931 +-70 10 2.06018566934076 -1.409901357 1.036767140 0.6951472444 +-70 5 2.13417878777659 -1.498728842 0.8748661151 0.7274778048 +-70 -2.84217e-14 2.20681198897984 -1.573724942 0.7000000000 0.7547741528 +-70 -5 2.27745035177098 -1.632907388 0.5133947832 0.7763148017 +-70 -10 2.34544257808923 -1.674349637 0.3166034934 0.7913985469 +-70 -15 2.41012038570267 -1.696223852 0.1115235926 0.7993601098 +-70 -20 2.47079372876402 -1.696848157 -0.09958733847 0.7995873385 +-70 -25 2.52675035928822 -1.674747181 -0.3141012650 0.7915432409 +-70 -30 2.57725664304435 -1.628723103 -0.5290188565 0.7747918465 +-70 -35 2.62156350122822 -1.557939369 -0.7409846595 0.7490286743 +-70 -40 2.65891680690734 -1.462013044 -0.9463244215 0.7141143472 +-70 -45 2.68857154563151 -1.341109809 -1.141109809 0.6701091685 + +-65 45 1.55430219748294 -0.5437806584 1.743780658 0.4867229144 +-65 40 1.61943598631180 -0.6682615556 1.680287840 0.5447693101 +-65 35 1.68667580131761 -0.7906888976 1.603750096 0.6018581172 +-65 30 1.75554226832544 -0.9097325637 1.513909475 0.6573690904 +-65 25 1.82555530457800 -1.024004839 1.410655128 0.7106551275 +-65 20 1.89624997972219 -1.132082205 1.294029342 0.7610524309 +-65 15 1.96716542989474 -1.232503278 1.164222854 0.8078795464 +-65 10 2.03785730489674 -1.323784740 1.021582457 0.8504447909 +-65 5 2.10788192137539 -1.404412500 0.8666145044 0.8880421332 +-65 -2.84217e-14 2.17679452323039 -1.472845827 0.7000000000 0.9199531176 +-65 -5 2.24414008243877 -1.527517947 0.5226151646 0.9454471456 +-65 -10 2.30943103937541 -1.566830232 0.3355620655 0.9637787654 +-65 -15 2.37214533234920 -1.589173336 0.1402076917 0.9741975260 +-65 -20 2.43171568388838 -1.592951846 -0.06177217358 0.9759594738 +-65 -25 2.48752035218660 -1.576624600 -0.2683459541 0.9683459541 +-65 -30 2.53887523222370 -1.538763267 -0.4770805209 0.9506909245 +-65 -35 2.58502948295627 -1.478132876 -0.6851035513 0.9224185089 +-65 -40 2.62516952193629 -1.393797998 -0.8890852020 0.8830925097 +-65 -45 2.65843312847634 -1.285251984 -1.085251984 0.8324766717 + +-60 45 1.55386051439497 -0.5172404895 1.717240490 0.5873040705 +-60 40 1.61686103022474 -0.6327452476 1.650486119 0.6539907736 +-60 35 1.68131710144239 -0.7450362294 1.571783753 0.7188220022 +-60 30 1.74679375208630 -0.8530606222 1.481189914 0.7811899145 +-60 25 1.81290038167905 -0.9557921782 1.378847041 0.8405020060 +-60 20 1.87928904302231 -1.052226478 1.264964235 0.8961783752 +-60 15 1.94564851771118 -1.141368591 1.139803388 0.9476445977 +-60 10 2.01169112192966 -1.222211714 1.003672392 0.9943193965 +-60 5 2.07714096283637 -1.293715618 0.8569297821 1.035602195 +-60 -2.84217e-14 2.14173672792809 -1.354798415 0.7000000000 1.070868364 +-60 -5 2.20519723931879 -1.404298649 0.5333954563 1.099447337 +-60 -10 2.26720745374150 -1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126911587 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946643558 -1.470247581 -0.01711147364 1.137522971 +-60 -25 2.44064240967103 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310587622 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249628270 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239853864 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350590946 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725745533 -0.4843934214 1.684393421 0.6892796942 +-55 40 1.61389995959196 -0.5894838893 1.614185530 0.7628648320 +-55 35 1.67510941879292 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902431338 -0.7860546374 1.442503991 0.9005051516 +-55 25 1.79841775362963 -0.8761967925 1.341731103 0.9636233682 +-55 20 1.86001874495922 -0.9601232436 1.231441399 1.022389302 +-55 15 1.92134162893325 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249312929 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852077762 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807407385 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860204118 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641938940 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170059947 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915036976 -1.331132429 0.03352230087 1.282172730 +-55 -25 2.38677985067163 -1.326427018 -0.1516769056 1.278877966 +-55 -30 2.43878789212031 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443153846 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109420903 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652033865 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969452709 -0.4444776924 1.644477692 0.7925108834 +-50 40 1.61061861053231 -0.5378834018 1.570887580 0.8708875797 +-50 35 1.66814588719484 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208298734 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836441382 -0.7857865890 1.299572133 1.078903053 +-50 20 1.83878708845344 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123462801 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266972108 -0.9804894903 0.9610502418 1.242278185 +-50 5 2.00520397575348 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937762960 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260967233 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045461789 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441045117 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424805697 -1.178259331 0.08916355816 1.408226786 +-50 -25 2.32670150511489 -1.178483091 -0.08268951938 1.408414543 +-50 -30 2.37807195260849 -1.166036630 -0.2618866971 1.397970722 +-50 -35 2.42803828184200 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636347039 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722387154 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517038957 -0.3966164062 1.596616406 0.8966164062 +-45 40 1.60711896535177 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515592302 -0.5522726705 1.436809256 1.052272670 +-45 30 1.71317762139666 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024610567 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247474289 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499787592 -0.7966159818 1.047427205 1.296615982 +-45 10 1.91610180092297 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254776873 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297835923 -0.9245677117 0.7000000000 1.424567712 +-45 -5 2.06370466335307 -0.9564751612 0.5725749347 1.456475161 +-45 -10 2.11281191532985 -0.9825048565 0.4385943948 1.482504857 +-45 -15 2.16207745626195 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667237392 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854824491 -1.018545631 -0.008109457188 1.518545631 +-45 -30 2.31111866834696 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316597073 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274139896 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434771784 -0.9191410188 -0.7191410188 1.419141019 + + +### -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 2.74049348569869 -1.437821528 -1.237821528 2.373146931e-16 +-40 -90 2.75369735828879 -1.270042543 -1.409454559 2.583336774e-16 +-35 -90 2.75742263616247 -1.081592649 -1.558748389 2.766168985e-16 +-30 -90 2.75163945631226 -0.8758197282 -1.682989671 2.918320673e-16 +-25 -90 2.73642590243860 -0.6564635583 -1.780044104 3.037178074e-16 +-20 -90 2.71199155420871 -0.4275557401 -1.848438451 3.120936992e-16 +-15 -90 2.67865610727480 -0.1932872158 -1.887383114 3.168630448e-16 +-10 -90 2.63685560557391 0.04211482932 -1.896795844 3.180157718e-16 +-5 -90 2.58714818347612 0.2745151785 -1.877303304 3.156286241e-16 +-2.84217e-14 -90 2.53020146046399 0.5000000000 -1.830201460 3.098603120e-16 +5 -90 2.46677943491182 0.7149939938 -1.757392594 3.009437975e-16 +10 -90 2.39773281675382 0.9163619342 -1.661305868 2.891765673e-16 +15 -90 2.32398204898894 1.101490815 -1.544794281 2.749080131e-16 +20 -90 2.24650574925928 1.268350218 -1.411024875 2.585259856e-16 +25 -90 2.16631532602255 1.415524417 -1.263348449 2.404408394e-16 +30 -90 2.08441421630098 1.542207108 -1.105155663 2.210678105e-16 +35 -90 2.00182501877856 1.648199660 -0.9397990564 2.008174666e-16 +40 -90 1.91952087127142 1.733844233 -0.7704382969 1.800767554e-16 +45 -90 1.83841591424573 1.799956360 -0.5999563596 1.591987395e-16 + +-45 -85 2.73731597733098 -1.431881436 -1.231881436 0.1690177250 +-40 -85 2.74992493289933 -1.263661187 -1.401849556 0.1838880086 +-35 -85 2.75309611700248 -1.075071386 -1.549435061 0.1968000671 +-30 -85 2.74683125851853 -0.8694903383 -1.672026846 0.2075254586 +-25 -85 2.73123383654068 -0.6506577753 -1.767593562 0.2158864629 +-20 -85 2.70653359826848 -0.4225764646 -1.834758004 0.2217625901 +-15 -85 2.67306687107809 -0.1893833692 -1.872813760 0.2250920373 +-10 -85 2.63127674558420 0.04477015464 -1.881736746 0.2258726975 +-5 -85 2.58171972437504 0.2758380700 -1.862182584 0.2241619300 +-2.84217e-14 -85 2.52505354810757 0.5000000000 -1.815444957 0.2200729175 +5 -85 2.46202517110838 0.7137692596 -1.743393818 0.2137692596 +10 -85 2.39346101577439 0.9140860097 -1.648398459 0.2054582426 +15 -85 2.32025533501255 1.098393350 -1.533234386 0.1953826918 +20 -85 2.24335580598377 1.264692989 -1.400976721 0.1838116454 +25 -85 2.16374383381484 1.411576531 -1.254882179 0.1710300292 +30 -85 2.08239538022673 1.538221895 -1.098253071 0.1573267579 +35 -85 2.00031080191455 1.644396045 -0.9343669304 0.1429885785 +40 -85 1.91844580653416 1.730393007 -0.7663252868 0.1282868396 +45 -85 1.83770431541571 1.796973708 -0.5969737078 0.1134704963 + +-45 -80 2.72772412019995 -1.413972667 -1.213972667 0.3374850214 +-40 -80 2.73856844403881 -1.244475759 -1.378985252 0.3665811925 +-35 -80 2.74010997635715 -1.055520244 -1.521513136 0.3917127038 +-30 -80 2.73243366510932 -0.8505611091 -1.639240460 0.4124712074 +-25 -80 2.71571872725333 -0.6333319755 -1.730438265 0.4285518410 +-20 -80 2.69025449102160 -0.4077448815 -1.794008564 0.4397610000 +-15 -80 2.65642033673209 -0.1777718829 -1.829479103 0.4460154130 +-10 -80 2.61467913718291 0.05266011635 -1.836990549 0.4473398837 +-5 -80 2.56558067063161 0.2797667510 -1.817277555 0.4438639508 +-2.84217e-14 -80 2.50975284401440 0.5000000000 -1.771624059 0.4358140078 +5 -80 2.44789091388349 0.7101305857 -1.701803585 0.4235027745 +10 -80 2.38075283891887 0.9073179316 -1.610014780 0.4073179316 +15 -80 2.30915523209551 1.089168991 -1.498808609 0.3877092831 +20 -80 2.23395699199475 1.253781113 -1.370996588 0.3651725753 +25 -80 2.15605312633611 1.399770630 -1.229564342 0.3402342545 +30 -80 2.07634284068997 1.526274828 -1.077560145 0.3134318133 +35 -80 1.99575913657372 1.632963190 -0.9180391209 0.2853039529 +40 -80 1.91520523319856 1.719991090 -0.7539287648 0.2563668693 +45 -80 1.83555295063524 1.787959493 -0.5879594932 0.2271020087 + +-45 -75 2.71155886181186 -1.383846274 -1.183846274 0.5047750879 +-40 -75 2.71953065949953 -1.212379716 -1.340734679 0.5468132092 +-35 -75 2.71845278790411 -1.022986020 -1.475049449 0.5828027433 +-30 -75 2.70853490766991 -0.8192148785 -1.584947196 0.6122497558 +-25 -75 2.69007414582605 -0.6047651853 -1.669176585 0.6348189528 +-20 -75 2.66344674877886 -0.3833803897 -1.727067673 0.6503308231 +-15 -75 2.62908882902704 -0.1587518771 -1.758495475 0.6587518771 +-10 -75 2.58748694564729 0.06555856667 -1.763839803 0.6601838854 +-5 -75 2.53917473697054 0.2861826725 -1.743943237 0.6548526167 +-2.84217e-14 -75 2.48472799344823 0.5000000000 -1.700062940 0.6430949266 +5 -75 2.42476157892200 0.7041828919 -1.633821133 0.6253454879 +10 -75 2.35992961583197 0.8962343488 -1.547156658 0.6021238119 +15 -75 2.29092334106732 1.074020183 -1.442272488 0.5740201832 +20 -75 2.21847193074376 1.235796426 -1.321584066 0.5416818179 +25 -75 2.14333447597375 1.380229013 -1.187657209 0.5057962248 +30 -75 2.06629447219683 1.506406232 -1.043146727 0.4670747578 +35 -75 1.98817038660587 1.613852599 -0.8907463697 0.4262392051 +40 -75 1.90977863268196 1.702511243 -0.7330970938 0.3839972090 +45 -75 1.83193389633796 1.772729829 -0.5727298287 0.3410269298 + +-45 -70 2.68857157406168 -1.341109829 -1.141109829 0.6701091756 +-40 -70 2.69267071896334 -1.167223868 -1.286920034 0.7231797504 +-35 -70 2.68812156764977 -0.9775693741 -1.410187757 0.7680455321 +-30 -70 2.67529311631950 -0.7757696039 -1.509697773 0.8042642160 +-25 -70 2.65462477020475 -0.5654231541 -1.584807327 0.8316018582 +-20 -70 2.62658775562823 -0.3500047124 -1.635368754 0.8500047124 +-15 -70 2.59167288195327 -0.1328058780 -1.661663688 0.8595752858 +-10 -70 2.55037851758128 0.08310375056 -1.664336120 0.8605479715 +-5 -70 2.50320620825031 0.2948972469 -1.644335195 0.8532682303 +-2.84217e-14 -70 2.45066074337638 0.5000000000 -1.602867817 0.8381753387 +5 -70 2.39325364318897 0.6960936776 -1.541360991 0.8157886850 +10 -70 2.33150583923613 0.8811183451 -1.461429542 0.7866960166 +15 -70 2.26595757507892 1.053276335 -1.364855392 0.7515459007 +20 -70 2.19717899795256 1.211041349 -1.253570052 0.7110413495 +25 -70 2.12575784036531 1.353164503 -1.129617181 0.6659261941 +30 -70 2.05232649183728 1.478694910 -0.9951493092 0.6169838912 +35 -70 1.97755122793202 1.586992927 -0.8523867816 0.5650225806 +40 -70 1.90212866757266 1.677743083 -0.7035795506 0.5108611778 +45 -70 1.82679233005428 1.750971090 -0.5509710904 0.4553162408 + +-45 -65 2.65843331605726 -1.285252110 -1.085252110 0.8324767304 +-40 -65 2.65782096670392 -1.108849993 -1.217352759 0.8940762751 +-35 -65 2.64914190505811 -0.9194560970 -1.327193396 0.9452958049 +-30 -65 2.63295879323296 -0.7206998078 -1.414314088 0.9859208509 +-25 -65 2.60983677201971 -0.5159614882 -1.478736442 1.015961488 +-20 -65 2.58033444482760 -0.3083292762 -1.520866434 1.035607026 +-15 -65 2.54497635054270 -0.1005779522 -1.541387431 1.045176124 +-10 -65 2.50424873690776 0.1048190132 -1.541182746 1.045080678 +-5 -65 2.45860026640018 0.3056634668 -1.521276739 1.035798354 +-2.84217e-14 -65 2.40844614579646 0.5000000000 -1.482793497 1.017853324 +5 -65 2.35417605983080 0.6860824715 -1.426932382 0.9918048581 +10 -65 2.29616646619469 0.8623447290 -1.354959074 0.9582431535 +15 -65 2.23479981843128 1.027380735 -1.268211698 0.9177921877 +20 -65 2.17046302497895 1.179930778 -1.168094459 0.8711067522 +25 -65 2.10356129223645 1.318877749 -1.056089000 0.8188777489 +30 -65 2.03454509658381 1.443261556 -0.9337769399 0.7618426988 +35 -65 1.96391052364670 1.552297260 -0.8028362337 0.7007840447 +40 -65 1.89221157563819 1.645406188 -0.6650419391 0.6365295099 +45 -65 1.82006413233305 1.722251208 -0.5222512079 0.5699450984 + +-45 -60 2.62074369475390 -1.215679480 -1.015679480 0.9905480095 +-40 -60 2.61480227397210 -1.037134744 -1.131885854 1.057639791 +-35 -60 2.60160505314081 -0.8489644610 -1.226520906 1.112277364 +-30 -60 2.58188700702363 -0.6546549716 -1.299921076 1.154654972 +-25 -60 2.55632319709024 -0.4572243774 -1.352774302 1.185169796 +-20 -60 2.52551418193822 -0.2592366874 -1.385985655 1.204344379 +-15 -60 2.48998174751211 -0.06284698883 -1.400573559 1.212766710 +-10 -60 2.45017032323549 0.1301375128 -1.397594400 1.211046691 +-5 -60 2.40645149104619 0.3181905249 -1.378091810 1.199786866 +-2.84217e-14 -60 2.35913513034743 0.5000000000 -1.343070954 1.179567565 +5 -60 2.30848611373495 0.6744081068 -1.293493783 1.150944172 +10 -60 2.25473809916560 0.8403612530 -1.230284587 1.114450326 +15 -60 2.19810669292987 0.9968702017 -1.154344838 1.070606491 +20 -60 2.13880046036806 1.142980264 -1.066573758 1.019931835 +25 -60 2.07704308524782 1.277756223 -0.9679036024 0.9629645938 +30 -60 2.01310063816702 1.400285974 -0.8593410492 0.9002859745 +35 -60 1.94728522518917 1.509691521 -0.7419889337 0.8325326990 +40 -60 1.87998632800519 1.605166663 -0.6170863412 0.7604201536 +45 -60 1.81166760474388 1.686014848 -0.4860148475 0.6847459915 + +-45 -55 2.57505624633568 -1.131780374 -0.9317803737 1.142584918 +-40 -55 2.56346115715724 -0.9520597028 -1.030497368 1.211707302 +-35 -55 2.54567972527258 -0.7665846494 -1.108870342 1.266584649 +-30 -55 2.52256350582388 -0.5784843313 -1.167989657 1.307980439 +-25 -55 2.49483360850881 -0.3902338299 -1.209112609 1.336775040 +-20 -55 2.46308530975488 -0.2037485544 -1.233533262 1.353874566 +-15 -55 2.42779515458429 -0.02048933225 -1.242492633 1.360147984 +-10 -55 2.38933031686454 0.1584330385 -1.237122499 1.356387776 +-5 -55 2.34796397236905 0.3321600672 -1.218419211 1.343291593 +-2.84217e-14 -55 2.30389097111046 0.5000000000 -1.187236999 1.321457573 +5 -55 2.25724835406692 0.6613552919 -1.144299426 1.291392361 +10 -55 2.20813473637469 0.8156641286 -1.090220234 1.253525703 +15 -55 2.15661765916269 0.9623522224 -1.025521985 1.208223501 +20 -55 2.10274273202312 1.100792085 -0.9506626864 1.155806456 +25 -55 2.04657382716132 1.230280869 -0.8660923781 1.096589689 +30 -55 1.98819752107120 1.350024140 -0.7722849978 1.030905054 +35 -55 1.92774231689634 1.459134333 -0.6697857866 0.9591343335 +40 -55 1.86541713144943 1.556656169 -0.5592737855 0.8817529973 +45 -55 1.80152257644735 1.641601931 -0.4416019309 0.7993582777 + +-45 -50 2.52093743356166 -1.033033487 -0.8330334866 1.286367833 +-40 -50 2.50372619207255 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985757213 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203111655 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606238588 -0.3161757580 -1.050294561 1.468671521 +-20 -50 2.39413394907184 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272391491 0.02555109548 -1.070667417 1.485766377 +-10 -50 2.32300131937537 0.1890460796 -1.063507315 1.479758338 +-5 -50 2.28440233776109 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560933279 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136559967 0.6472188315 -0.9827189436 1.411968845 +10 -50 2.15731774599010 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756499684 0.9244822299 -0.8841892491 1.329292615 +20 -50 2.06291284279741 1.054043532 -0.8222220926 1.277295997 +25 -50 2.01259370928634 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684145408 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363553197 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477051631 1.499516481 -0.4911773569 0.9995164809 +45 -50 1.78955149909522 1.588262778 -0.3882627778 0.9131608954 + +-45 -45 2.45802394897380 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599300160 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213183759 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980572973 -0.4002168102 -0.8592212530 1.559221253 +-25 -45 2.35157187731394 -0.2363844171 -0.8791814786 1.579181479 +-20 -45 2.31982371359470 -0.07820114267 -0.8885945834 1.588594583 +-15 -45 2.28674430178197 0.07430702604 -0.8887078073 1.588707807 +-10 -45 2.25246258145465 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380447106 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233540688 0.5000000000 -0.8417772771 1.541777277 +5 -45 2.14252021320204 0.6322915933 -0.8120998311 1.512099831 +10 -45 2.10326115374259 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120013060 0.8839430137 -0.7328948345 1.432894835 +20 -45 2.01997829762304 1.003466601 -0.6832631175 1.383263118 +25 -45 1.97559534451708 1.118649015 -0.6266970945 1.326697095 +30 -45 1.92913094275267 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796733243 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874114558 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713999999 1.525204995 -0.3252049953 1.025204995 + + diff --git a/test/Kerr-definition-expansion-EE.par b/test/Kerr-definition-expansion-EE.par new file mode 100644 index 0000000..6c171a8 --- /dev/null +++ b/test/Kerr-definition-expansion-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild Boundary GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" + +#ADMBase::lapse_evolution_method = "static" +#ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::desired_value[1] = 0.02 diff --git a/test/Kerr-definition-expansion-EE/BH_diagnostics.ah1.gp b/test/Kerr-definition-expansion-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..699c9b8 --- /dev/null +++ b/test/Kerr-definition-expansion-EE/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 +0 0.000 0.000051 0.000018 0.000000 1.100212139 2.820503246 2.056387452 1.280799480 2.003935888e-06 0.000000000 1.280811328 -0.000000000 1.161559206 -1.959840604 1.960332020 -1.960110382 1.959962356 -1.866281193 1.866281193 12.92079238 11.26615543 11.64473738 0.8719399785 0.9012401901 48.25182823 0.9797650851 1.959530170 0.02000000000 -1.415512037 -0.02831024074 0.7177560185 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6918362016 0.7294276397 34.56920658 diff --git a/test/Kerr-definition-expansion-EE/h.t0.ah1.gp b/test/Kerr-definition-expansion-EE/h.t0.ah1.gp new file mode 100644 index 0000000..ec1b88f --- /dev/null +++ b/test/Kerr-definition-expansion-EE/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 2.52675531581589 -0.9588228618 -0.7588228618 1.458822862 +-40 -45 2.50482927283151 -0.7781482639 -0.8232377854 1.523237785 +-35 -45 2.47953798257950 -0.6002022606 -0.8712516655 1.571251666 +-30 -45 2.45168304876818 -0.4266490915 -0.9050033073 1.605003307 +-25 -45 2.42183498109570 -0.2583869998 -0.9263661694 1.626366169 +-20 -45 2.39037812565333 -0.09578637617 -0.9369096153 1.636909615 +-15 -45 2.35755361179500 0.06112539233 -0.9379023340 1.637902334 +-10 -45 2.32349302496785 0.2125280788 -0.9303342804 1.630334280 +-5 -45 2.28824370350573 0.3587105953 -0.9149452856 1.614945286 +0 -45 2.25178193655213 0.5000000000 -0.8922502771 1.592250277 +5 -45 2.21403251969742 0.6367071769 -0.8625701818 1.562570182 +10 -45 2.17488076181525 0.7690850131 -0.8260569426 1.526056943 +15 -45 2.13417399839915 0.8972909764 -0.7827101091 1.482710109 +20 -45 2.09173661932402 1.021351901 -0.7324025761 1.432402576 +25 -45 2.04738087015663 1.141128338 -0.6749041570 1.374904157 +30 -45 2.00091415569773 1.256274464 -0.6099057968 1.309905797 +35 -45 1.95215808592168 1.366197152 -0.5370577363 1.237057736 +40 -45 1.90096804693204 1.470013819 -0.4560174537 1.156017454 +45 -45 1.84727536231858 1.566524928 -0.3665249277 1.066524928 + +-45 -40 2.47937528600941 -1.007758697 -0.5651597663 1.507758697 +-40 -40 2.45591833319242 -0.8279548362 -0.6279548362 1.582594947 +-35 -40 2.42895006548221 -0.6481260488 -0.6758665703 1.639693928 +-30 -40 2.39924960481702 -0.4704526708 -0.7104201931 1.680873332 +-25 -40 2.36740171698753 -0.2963808456 -0.7330514675 1.707844235 +-20 -40 2.33382717729611 -0.1268039176 -0.7450383207 1.722129610 +-15 -40 2.29881408410182 0.03777983631 -0.7474713111 1.725029135 +-10 -40 2.26254646411754 0.1971384876 -0.7412484259 1.717612989 +-5 -40 2.22512640498450 0.3512053698 -0.7270822558 1.700730405 +0 -40 2.18658690853233 0.5000000000 -0.7055109723 1.675022751 +5 -40 2.14691484258565 0.6435646080 -0.6769213604 1.640950978 +10 -40 2.10606423816146 0.7819150062 -0.6415688103 1.598819449 +15 -40 2.06396083911290 0.9149984653 -0.5995936133 1.548795358 +20 -40 2.02051572163393 1.042656792 -0.5510449247 1.490937284 +25 -40 1.97564079124799 1.164594637 -0.4959081193 1.425227798 +30 -40 1.92925740589138 1.280349405 -0.4341311039 1.351604818 +35 -40 1.88132028648751 1.389270166 -0.3656644313 1.270009414 +40 -40 1.83182372935828 1.490496772 -0.2904967716 1.180428086 +45 -40 1.78084274093582 1.582966804 -0.2087170460 1.082966804 + +-45 -35 2.43070274973080 -1.040305400 -0.3785334522 1.540305400 +-40 -35 2.40518115773909 -0.8624027918 -0.4368908643 1.623648422 +-35 -35 2.37614909333471 -0.6822359020 -0.4822359020 1.688407847 +-30 -35 2.34435529371260 -0.5022940733 -0.5155772727 1.736024259 +-25 -35 2.31038926605933 -0.3244183812 -0.5379465682 1.767970924 +-20 -35 2.27469880900287 -0.1499230831 -0.5503248871 1.785648995 +-15 -35 2.23761280312572 0.02028341785 -0.5536002217 1.790326658 +-10 -35 2.19936377410353 0.1855897252 -0.5485465560 1.783109275 +-5 -35 2.16010507808620 0.3455888184 -0.5358158070 1.764927881 +0 -35 2.11992673741076 0.5000000000 -0.5159400234 1.736542321 +5 -35 2.07887683803118 0.6486047286 -0.4893443903 1.698559820 +10 -35 2.03697484302488 0.7911959484 -0.4563607416 1.651454288 +15 -35 1.99421781889139 0.9275357000 -0.4172406130 1.595584955 +20 -35 1.95059645397947 1.057321108 -0.3721768005 1.531227160 +25 -35 1.90610529240731 1.180157350 -0.3213242158 1.458602143 +30 -35 1.86075249087033 1.295536922 -0.2648232263 1.377910367 +35 -35 1.81458435533267 1.402833403 -0.2028334031 1.289379725 +40 -35 1.76768413544572 1.501295804 -0.1355561651 1.193297872 +45 -35 1.72019855685354 1.590067935 -0.06327378498 1.090067935 + +-45 -30 2.38143173040555 -1.059013024 -0.2000965890 1.559013024 +-40 -30 2.35340225689145 -0.8834684223 -0.2519082554 1.648753463 +-35 -30 2.32197882755095 -0.7039747977 -0.2927273495 1.719454207 +-30 -30 2.28788315675716 -0.5231724526 -0.3231724526 1.772186673 +-25 -30 2.25170717470488 -0.3431598168 -0.3439428533 1.808162062 +-20 -30 2.21392132574747 -0.1655635932 -0.3557547940 1.828620944 +-15 -30 2.17489088785940 0.008377606188 -0.3592990366 1.834759752 +-10 -30 2.13489283827368 0.1777298428 -0.3552143594 1.827684883 +-5 -30 2.09412824859442 0.3417868138 -0.3440715624 1.808384993 +0 -30 2.05274026635822 0.5000000000 -0.3263701332 1.777725218 +5 -30 2.01083266312120 0.6519201332 -0.3025428011 1.736455068 +10 -30 1.96848176363622 0.7971497754 -0.2729622892 1.685220119 +15 -30 1.92574328163961 0.9353039167 -0.2379495838 1.624576334 +20 -30 1.88266802822595 1.065980048 -0.1977897151 1.555017401 +25 -30 1.83931242601227 1.188737126 -0.1527472327 1.477001533 +30 -30 1.79573948248779 1.303079111 -0.1030791105 1.390973822 +35 -30 1.75204520769509 1.408457153 -0.04906074710 1.297411272 +40 -30 1.70835345789481 1.504270756 0.009002209452 1.196843281 +45 -30 1.66483126326045 1.589887898 0.07075292893 1.089887898 + +-45 -25 2.33199320511343 -1.066033560 -0.03025344176 1.566033560 +-40 -25 2.30112094077468 -0.8929299440 -0.07408435900 1.660029265 +-35 -25 2.26706511576310 -0.7147327384 -0.1089589838 1.734818139 +-30 -25 2.23052739161101 -0.5341234223 -0.1352289711 1.791154309 +-25 -25 2.19210330346658 -0.3533455266 -0.1533455266 1.830005387 +-20 -25 2.15228395944218 -0.1742359071 -0.1638106562 1.852447930 +-15 -25 2.11146775647637 0.001723864353 -0.1671419228 1.859591854 +-10 -25 2.06997130287775 0.1733498194 -0.1638467019 1.852525231 +-5 -25 2.02803817060676 0.3396966304 -0.1544042837 1.832275899 +0 -25 1.98585676953665 0.5000000000 -0.1392593360 1.799797454 +5 -25 1.94357678183521 0.6536272403 -0.1188210420 1.755967391 +10 -25 1.90131858531458 0.8000360722 -0.09346403835 1.701589121 +15 -25 1.85917941010893 0.9387397009 -0.06353162557 1.637398855 +20 -25 1.81724862647924 1.069280959 -0.02934555014 1.564086580 +25 -25 1.77561786333008 1.191215399 0.008784600534 1.482316208 +30 -25 1.73437705408510 1.304096799 0.05055629988 1.392736509 +35 -25 1.69363683799890 1.407479940 0.09565796949 1.296015667 +40 -25 1.65352227210800 1.500921179 0.1437642518 1.192851411 +45 -25 1.61418486750107 1.583994442 0.1945250901 1.083994442 + +-45 -20 2.28262277887735 -1.063119715 0.1310709511 1.563119715 +-40 -20 2.24868596705491 -0.8923213446 0.09606274732 1.659303964 +-35 -20 2.21185479274408 -0.7157816600 0.06803260253 1.736316154 +-30 -20 2.17281868565908 -0.5361541384 0.04679295287 1.794671612 +-25 -20 2.13217869614926 -0.3557414882 0.03206237448 1.835143544 +-20 -20 2.09044486167497 -0.1765005203 0.02349947966 1.858669904 +-15 -20 2.04804366624941 -6.853854166e-05 0.02072919694 1.866281193 +-10 -20 2.00532456846295 0.1722007005 0.02336397216 1.859042208 +-5 -20 1.96256572773863 0.3391951759 0.03101996158 1.838007550 +0 -20 1.91999033149858 0.5000000000 0.04332463164 1.804200746 +5 -20 1.87778066173061 0.6538578732 0.05992065821 1.758603538 +10 -20 1.83608566399027 0.8001347532 0.08046851368 1.702148769 +15 -20 1.79502561992796 0.9382894043 0.1046472180 1.635718325 +20 -20 1.75470765377276 1.067850730 0.1321492700 1.560157058 +25 -20 1.71523301928837 1.188401990 0.1626769922 1.476282831 +30 -20 1.67669336566975 1.299566379 0.1959414103 1.384889593 +35 -20 1.63919072926858 1.401007621 0.2316532068 1.286772239 +40 -20 1.60282626539004 1.492423688 0.2695234882 1.182724496 +45 -20 1.56771455942997 1.573556944 0.3092572275 1.073556944 + +-45 -15 2.23342019568207 -1.051661066 0.2842336703 1.551661066 +-40 -15 2.19630414506611 -0.8829249013 0.2583914034 1.648105719 +-35 -15 2.15665406556076 -0.7082438976 0.2376399725 1.725551114 +-30 -15 2.11515284444973 -0.5302031164 0.2218810698 1.784364140 +-25 -15 2.07240726267118 -0.3511004788 0.2109415812 1.825190867 +-20 -15 2.02894230744112 -0.1729354912 0.2045954189 1.848875067 +-15 -15 1.98520481358455 0.002581509268 0.2025815093 1.856391080 +-10 -15 1.94156730332520 0.1740090675 0.2046191641 1.848786449 +-5 -15 1.89833127726798 0.3401464403 0.2104207733 1.827134549 +0 -15 1.85574129683432 0.5000000000 0.2196988096 1.792508446 +5 -15 1.81399718822227 0.6527520045 0.2321705166 1.745963401 +10 -15 1.77325984918224 0.7977319564 0.2475619388 1.688521832 +15 -15 1.73365528228508 0.9343895340 0.2656104660 1.621163811 +20 -15 1.69529061185387 1.062273859 0.2860627815 1.544834731 +25 -15 1.65825706833535 1.181016425 0.3086750928 1.460444436 +30 -15 1.62262983526887 1.290315611 0.3332132484 1.368866793 +35 -15 1.58848442574248 1.389932532 0.3594485344 1.270955372 +40 -15 1.55588769501135 1.479680270 0.3871592748 1.167537481 +45 -15 1.52490998527459 1.559426013 0.4161276553 1.059426013 + +-45 -10 2.18439055694523 -1.032729717 0.4297383967 1.532729717 +-40 -10 2.14407903937744 -0.8657843450 0.4129963822 1.627678400 +-35 -10 2.10166174036361 -0.6930825444 0.3995567295 1.703898458 +-30 -10 2.05781769778364 -0.5171183980 0.3893646271 1.761700743 +-25 -10 2.01315598424124 -0.3401363608 0.3823155157 1.801678240 +-20 -10 1.96820906724904 -0.1641125263 0.3782677659 1.824634170 +-15 -10 1.92343273641416 0.009246104877 0.3770538780 1.831518471 +-10 -10 1.87920920456355 0.1784901004 0.3784901004 1.823373249 +-5 -10 1.83584882306081 0.3424080149 0.3823849193 1.801284633 +0 -10 1.79360184717526 0.5000000000 0.3885443078 1.766353005 +5 -10 1.75266920229782 0.6504517232 0.3967755933 1.719671065 +10 -10 1.71320836081080 0.7931091689 0.4068908311 1.662304701 +15 -10 1.67533646745931 0.9274534178 0.4187094693 1.595277873 +20 -10 1.63914672108598 1.053080406 0.4320577649 1.519575927 +25 -10 1.60470763183871 1.169681456 0.4467703842 1.436136516 +30 -10 1.57206860169760 1.277026993 0.4626902923 1.345850231 +35 -10 1.54127145142084 1.374957197 0.4796673810 1.249568377 +40 -10 1.51234506853323 1.463368039 0.4975594658 1.148097321 +45 -10 1.48531596327134 1.542207360 0.5162307229 1.042207360 + +-45 -5 2.13547142764653 -1.007125097 0.5681436395 1.507125097 +-40 -5 2.09203847406430 -0.8417264647 0.5601049853 1.599007335 +-35 -5 2.04699516613340 -0.6711045952 0.5536742747 1.672510693 +-30 -5 2.00101573621259 -0.4976483663 0.5488215441 1.727977658 +-25 -5 1.95470385772317 -0.3235088341 0.5454932360 1.766020394 +-20 -5 1.90858667920431 -0.1505801930 0.5436180043 1.787454390 +-15 -5 1.86311423701440 0.01950324034 0.5431119760 1.793238320 +-10 -5 1.81866171928412 0.1853584122 0.5438833813 1.784421117 +-5 -5 1.77553129623666 0.3458366652 0.5458366652 1.762094979 +0 -5 1.73396126974010 0.5000000000 0.5488753176 1.727363024 +5 -5 1.69413828770720 0.6470962571 0.5529037429 1.681317912 +10 -5 1.65620256633466 0.7865349832 0.5578291159 1.625020641 +15 -5 1.62025142992631 0.9178624941 0.5635628239 1.559484059 +20 -5 1.58635408768607 1.040740727 0.5700204603 1.485672937 +25 -5 1.55455158271772 1.154926298 0.5771226989 1.404493979 +30 -5 1.52486539327197 1.260253626 0.5847951110 1.316797906 +35 -5 1.49730386601937 1.356621191 0.5929679572 1.223381847 +40 -5 1.47186211674397 1.443977073 0.6015762975 1.124988068 +45 -5 1.44853073990185 1.522311516 0.6105593318 1.022311516 + +-45 0 2.08655263285074 -0.9754155160 0.7000000000 1.475415516 +-40 0 2.04015800106162 -0.8113882849 0.7000000000 1.562851700 +-35 0 1.99271536665142 -0.6429745787 0.7000000000 1.632336866 +-30 0 1.94488937447016 -0.4724446872 0.7000000000 1.684323606 +-25 0 1.89726506044908 -0.3018188619 0.7000000000 1.719506098 +-20 0 1.85034698167193 -0.1328559399 0.7000000000 1.738757405 +-15 0 1.80456016832866 0.03294546040 0.7000000000 1.743071272 +-10 0 1.76025339924254 0.1943352050 0.7000000000 1.733511195 +-5 0 1.71770214261091 0.3502923939 0.7000000000 1.711165767 +0 0 1.67711600221656 0.5000000000 0.7000000000 1.677116002 +5 0 1.63865363064255 0.6428180743 0.7000000000 1.632418059 +10 0 1.60242749817032 0.7782586149 0.7000000000 1.578083024 +15 0 1.56850707874699 0.9059595044 0.7000000000 1.515061496 +20 0 1.53693375470228 1.025662303 0.7000000000 1.444245308 +25 0 1.50772139026912 1.137190593 0.7000000000 1.366459637 +30 0 1.48086687311378 1.240433437 0.7000000000 1.282468332 +35 0 1.45635094654160 1.335328586 0.7000000000 1.192972855 +40 0 1.43414460235947 1.421850381 0.7000000000 1.098618503 +45 0 1.41421365789470 1.500000068 0.7000000000 1.000000068 + +-45 5 2.03750007285756 -0.9379810734 0.8258070423 1.437981073 +-40 5 1.98838551954778 -0.7752487617 0.8329637217 1.519782293 +-35 5 1.93885320322289 -0.6092355924 0.8385953938 1.584152600 +-30 5 1.88954478938016 -0.4420721877 0.8427567303 1.631716893 +-25 5 1.84100957572031 -0.2756098927 0.8455199625 1.663300782 +-20 5 1.79370841625176 -0.1114216244 0.8469693281 1.679867107 +-15 5 1.74801913027197 0.04918624353 0.8471961632 1.682459844 +-10 5 1.70424314440474 0.2051536505 0.8462947585 1.672156742 +-5 5 1.66261073950877 0.3556411726 0.8443588274 1.650028948 +0 5 1.62328781291298 0.5000000000 0.8414788550 1.617110713 +5 5 1.58639369987433 0.6377411615 0.8377411615 1.574388680 +10 5 1.55200482874642 0.7685080235 0.8332263958 1.522784672 +15 5 1.52015888327397 0.8920486479 0.8280086420 1.463145473 +20 5 1.49087115391408 1.008193447 0.8221560482 1.396250020 +25 5 1.46413262461866 1.116833157 0.8157302642 1.322802973 +30 5 1.43992224276245 1.217903436 0.8087873610 1.243445227 +35 5 1.41820362723606 1.311367224 0.8013777061 1.158752483 +40 5 1.39893697501554 1.397206617 0.7935471843 1.069249209 +45 5 1.38207608741846 1.475410643 0.7853373735 0.9754106428 + +-45 10 1.98816215446101 -0.8950413797 0.9459834345 1.395041380 +-40 10 1.93665062997509 -0.7336518680 0.9592375220 1.470209046 +-35 10 1.88542038060897 -0.5703254962 0.9695304646 1.528583224 +-30 10 1.83506441600993 -0.4070180420 0.9770099216 1.571001332 +-25 10 1.78607546663789 -0.2453704306 0.9818502232 1.598452047 +-20 10 1.73884762549682 -0.08672145589 0.9842397897 1.612003952 +-15 10 1.69368804444948 0.06786427245 0.9843717774 1.612752491 +-10 10 1.65083016996330 0.2175629829 0.9824370171 1.601779920 +-5 10 1.61044225411558 0.3617572490 0.9786181193 1.580121875 +0 10 1.57263394409672 0.5000000000 0.9730850185 1.548742101 +5 10 1.53747577912276 0.6319792006 0.9659943932 1.508529166 +10 10 1.50500362301832 0.7574878638 0.9574878638 1.460286241 +15 10 1.47522476508635 0.8763959539 0.9476915922 1.404728824 +20 10 1.44813171453307 0.9886281785 0.9367180700 1.342494887 +25 10 1.42369990288061 1.094142761 0.9246658346 1.274143263 +30 10 1.40189905757846 1.192917223 0.9116219707 1.200167835 +35 10 1.38268924590353 1.284932405 0.8976624835 1.120999649 +40 10 1.36603275565637 1.370166686 0.8828553592 1.037024274 +45 10 1.35188718193913 1.448583874 0.8672609305 0.9485838745 + +-45 15 1.93838223344358 -0.8466844480 1.060843010 1.346684448 +-40 15 1.88487939085530 -0.6868331858 1.078990744 1.414412713 +-35 15 1.83241900921573 -0.5265944461 1.092848031 1.466128812 +-30 15 1.78151721373416 -0.3677030553 1.102702389 1.502905778 +-25 15 1.73257911957060 -0.2115391578 1.108863846 1.525900648 +-20 15 1.68590841285078 -0.05916208251 1.111646377 1.536285196 +-15 15 1.64171989460707 0.08864605476 1.111353945 1.535193824 +-10 15 1.60016056646505 0.2313315720 1.108272676 1.523694371 +-5 15 1.56132228634040 0.3685250945 1.102664681 1.502765047 +0 15 1.52524948166178 0.5000000000 1.094763614 1.473277866 +5 15 1.49195934441567 0.6256340319 1.084775993 1.436003555 +10 15 1.46144650412422 0.7453782096 1.072880502 1.391608979 +15 15 1.43369043129046 0.8592294990 1.059229499 1.340662742 +20 15 1.40866552864149 0.9672094549 1.043952292 1.283647427 +25 15 1.38633996539381 1.069344950 1.027156367 1.220964184 +30 15 1.36668393122685 1.165654990 1.008931556 1.152948263 +35 15 1.34966927883948 1.256138732 0.9893524441 1.079878023 +40 15 1.33527157252874 1.340767119 0.9684816702 1.001987234 +45 15 1.32346846510511 1.419475204 0.9463726383 0.9194752039 + +-45 20 1.88801068571758 -0.7928928742 1.170574522 1.292892874 +-40 20 1.83301198327613 -0.6349480304 1.192298274 1.352578393 +-35 20 1.77986507756865 -0.4783315459 1.208540029 1.397202247 +-30 20 1.72897619710999 -0.3244985436 1.219776198 1.428073368 +-25 20 1.68063125602715 -0.1745147087 1.226483476 1.446501461 +-20 20 1.63501713937721 -0.02911701516 1.229117015 1.453737051 +-15 20 1.59223863063020 0.1112248688 1.228094801 1.450928542 +-10 20 1.55234185021499 0.2462472763 1.223790732 1.439103208 +-5 20 1.51533348100056 0.3758396061 1.216531923 1.419159796 +0 20 1.48118837431105 0.5000000000 1.206596260 1.391861785 +5 20 1.44986923852762 0.6187965144 1.194217119 1.357850373 +10 20 1.42133103204312 0.7323371109 1.179585100 1.317649233 +15 20 1.39552894705592 0.8407447471 1.162852469 1.271676708 +20 20 1.37242432822914 0.9441378910 1.144137891 1.220258827 +25 20 1.35198633143884 1.042614368 1.123530421 1.163640267 +30 20 1.33419599164073 1.136239327 1.101094776 1.101998840 +35 20 1.31904667248687 1.225035277 1.076875777 1.035457686 +40 20 1.30654085259676 1.308972326 1.050902129 0.9640956755 +45 20 1.29669311500769 1.387963877 1.023192420 0.8879638771 + +-45 25 1.83691086336662 -0.7335645111 1.275220578 1.233564511 +-40 25 1.78100762444662 -0.5780914669 1.299121116 1.284819379 +-35 25 1.72779189340107 -0.4257808095 1.316529611 1.322152018 +-30 25 1.67752385806770 -0.2777383590 1.328154817 1.347082353 +-25 25 1.63033941644840 -0.1346611702 1.334661170 1.361035272 +-20 25 1.58628462472772 0.003072051349 1.336649061 1.365298318 +-15 25 1.54534138148464 0.1353215769 1.334643978 1.360998403 +-10 25 1.50744695584536 0.2621185281 1.329092335 1.349092867 +-5 25 1.47251976432807 0.3836067863 1.320366625 1.330380520 +0 25 1.44046561626064 0.5000000000 1.308767075 1.305505205 +5 25 1.41119508688134 0.6115458924 1.294530786 1.274975385 +10 25 1.38462714356003 0.7184999888 1.277836799 1.239175014 +15 25 1.36069721281471 0.8211050450 1.258813931 1.198380343 +20 25 1.33935849675665 0.9195745580 1.237546236 1.152771624 +25 25 1.32058837769879 1.014080784 1.214080784 1.102449799 +30 25 1.30438453412472 1.104742449 1.188431461 1.047444648 +35 25 1.29076899996353 1.191616377 1.160586320 0.9877305504 +40 25 1.27978353113372 1.274687141 1.130512103 0.9232361832 +45 25 1.27149234068265 1.353861697 1.098162248 0.8538616973 + +-45 30 1.78497721211771 -0.6685418840 1.374657971 1.168541884 +-40 30 1.72886328433102 -0.5163276395 1.399293641 1.211212116 +-35 30 1.67626888323623 -0.3691661895 1.416663712 1.241297961 +-30 30 1.62726774961602 -0.2277362611 1.427736261 1.260476179 +-25 30 1.58182123845876 -0.09231862853 1.433368440 1.270231398 +-20 30 1.53981831142245 0.03708968955 1.434294641 1.271835625 +-15 30 1.50110986358957 0.1606821847 1.431128279 1.266351326 +-10 30 1.46552576339710 0.2787733372 1.424366021 1.254638751 +-5 30 1.43289898315580 0.3917432523 1.414401843 1.237380289 +0 30 1.40307144303973 0.5000000000 1.401535722 1.215095513 +5 30 1.37590678090626 0.6039509380 1.385987185 1.188164658 +10 30 1.35129326620613 0.7039828349 1.367904277 1.156844143 +15 30 1.32915132586586 0.8004475122 1.347374416 1.121285381 +20 30 1.30943065299791 0.8936496570 1.324429456 1.081543544 +25 30 1.29211777718910 0.9838381298 1.299055301 1.037594218 +30 30 1.27723145378761 1.071195271 1.271195271 0.9893392300 +35 30 1.26482693429569 1.155828440 1.240757855 0.9366200794 +40 30 1.25499447449165 1.237759650 1.207622357 0.8792277135 +45 30 1.24785548071810 1.316913171 1.171645039 0.8169131710 + +-45 35 1.73215309637608 -0.5976433742 1.468578165 1.097643374 +-40 35 1.67662159676858 -0.4497138862 1.492512352 1.131824936 +-35 35 1.62540146724621 -0.3087068169 1.508706817 1.154953029 +-30 35 1.57833934559781 -0.1747954015 1.518388511 1.168779920 +-25 35 1.53520292668589 -0.04780790849 1.522588307 1.174777851 +-20 35 1.49571914645422 0.07264566398 1.522146152 1.174146388 +-15 35 1.45960923027296 0.1870777865 1.517731491 1.167841599 +-10 35 1.42660454099102 0.2960596010 1.509862474 1.156603477 +-5 35 1.39646190278549 0.4001764615 1.498928585 1.140988266 +0 35 1.36896927795967 0.5000000000 1.485208520 1.121393983 +5 35 1.34395252959690 0.5960700015 1.468887494 1.098085142 +10 35 1.32127541010774 0.6888830623 1.450068671 1.071209077 +15 35 1.30084604319787 0.7788853446 1.428786002 1.040814276 +20 35 1.28261263644573 0.8664659057 1.405008722 1.006856801 +25 35 1.26656954395813 0.9519512051 1.378649890 0.9692124871 +30 35 1.25275731506425 1.035597670 1.349570193 0.9276823762 +35 35 1.24126442227123 1.117582191 1.317582191 0.8819987755 +40 35 1.23222918256386 1.197990034 1.282455129 0.8318321308 +45 35 1.22583705570213 1.276797342 1.243919355 0.7767973425 + +-45 40 1.67845278932019 -0.5207013857 1.556470156 1.020701386 +-40 40 1.62439844679556 -0.3783385604 1.578338560 1.046763135 +-35 40 1.57535146093560 -0.2446435701 1.592349926 1.063461230 +-30 40 1.53090620683948 -0.1192236165 1.599956813 1.072526765 +-25 40 1.49062769065551 -0.001438911787 1.602316740 1.075339217 +-20 40 1.45409027023412 0.1094700212 1.600330660 1.072972298 +-15 40 1.42089756639194 0.2143016000 1.594682383 1.066240944 +-10 40 1.39069848476482 0.3138429185 1.585878825 1.055749272 +-5 40 1.36318893408786 0.4088432941 1.574279652 1.041925916 +0 40 1.33811598702853 0.5000000000 1.560124377 1.025056316 +5 40 1.31527727293406 0.5879528439 1.543551563 1.005305606 +10 40 1.29451862879329 0.6732825717 1.524611987 0.9827342983 +15 40 1.27573898230893 0.7565115140 1.503281827 0.9573140031 +20 40 1.25888581392942 0.8381032528 1.479465703 0.9289310524 +25 40 1.24395993001470 0.9184612412 1.453002159 0.8973930277 +30 40 1.23101783568698 0.9979242443 1.423664770 0.8624300895 +35 40 1.22017402124077 1.076756846 1.391161449 0.8236941394 +40 40 1.21160847448217 1.155136334 1.355136334 0.7807610796 +45 40 1.20556969486064 1.233131528 1.315170395 0.7331315280 + +-45 45 1.62398463001967 -0.4376079633 1.637607963 0.9376079633 +-40 45 1.57239017507065 -0.3023492037 1.656202546 0.9562025460 +-35 45 1.52633946246024 -0.1772560610 1.667221894 0.9672218935 +-30 45 1.48516936549579 -0.06134125656 1.672271577 0.9722715767 +-25 45 1.44825421221972 0.04648554691 1.672564883 0.9725648832 +-20 45 1.41503515948001 0.1473115861 1.669003453 0.9690034534 +-15 45 1.38502394475219 0.2421683913 1.662240664 0.9622406635 +-10 45 1.35780860281269 0.3320064474 1.652738781 0.9527387806 +-5 45 1.33304434009284 0.4176901302 1.640806117 0.9408061166 +0 45 1.31045255600386 0.5000000000 1.626629889 0.9266298888 +5 45 1.28981396859685 0.5796405765 1.610295955 0.9102959552 +10 45 1.27096400969290 0.6572487895 1.591802201 0.8918022012 +15 45 1.25379456419817 0.7334023688 1.571069499 0.8710694988 +20 45 1.23825055466824 0.8086259880 1.547942933 0.8479429331 +25 45 1.22433295923853 0.8833944951 1.522192148 0.8221921479 +30 45 1.21210520698416 0.9581327058 1.493509123 0.7935091230 +35 45 1.20169785998351 1.033208489 1.461500641 0.7615006413 +40 45 1.19332033412832 1.108919869 1.425682442 0.7256824418 +45 45 1.18727260412716 1.185472158 1.385472158 0.6854721576 + + +### +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 1.84727567101092 1.566525106 -0.3665251059 1.066525106 +45 -40 1.78084288554930 1.582966892 -0.2087171198 1.082966892 +45 -35 1.72019864927307 1.590067993 -0.06327382599 1.090067993 +45 -30 1.66483142485898 1.589888003 0.07075286785 1.089888003 +45 -25 1.61418489941130 1.583994464 0.1945250802 1.083994464 +45 -20 1.56771462290133 1.573556988 0.3092572116 1.073556988 +45 -15 1.52491001171256 1.559426032 0.4161276504 1.059426032 +45 -10 1.48531599374380 1.542207382 0.5162307191 1.042207382 +45 -5 1.44853075813265 1.522311529 0.6105593306 1.022311529 +45 0 1.41421366941747 1.500000076 0.7000000000 1.000000076 +45 5 1.38207609290828 1.475410647 0.7853373739 0.9754106467 +45 10 1.35188718816028 1.448583879 0.8672609313 0.9485838788 +45 15 1.32346847234154 1.419475209 0.9463726397 0.9194752089 +45 20 1.29669314916762 1.387963900 1.023192429 0.8879639005 +45 25 1.27149235647264 1.353861708 1.098162253 0.8538617079 +45 30 1.24785551057194 1.316913191 1.171645050 0.8169131905 +45 35 1.22583705139612 1.276797340 1.243919353 0.7767973397 +45 40 1.20556970507780 1.233131534 1.315170400 0.7331315342 +45 45 1.18727269447140 1.185472210 1.385472210 0.6854722098 + +50 -45 1.86086795409163 1.631631769 -0.4316317691 0.9495518001 +50 -40 1.79111913195220 1.654198024 -0.2684871363 0.9684871363 +50 -35 1.72670759547800 1.665636132 -0.1161872066 0.9780848487 +50 -30 1.66737019185338 1.668131104 0.02557919248 0.9801783788 +50 -25 1.61274527932054 1.663434878 0.1574814067 0.9762377769 +50 -20 1.56242995149016 1.652916081 0.2803728639 0.9674114584 +50 -15 1.51601553419262 1.637617428 0.3951763289 0.9545743643 +50 -10 1.47311916216727 1.618318960 0.5028101944 0.9383810266 +50 -5 1.43338789068263 1.595581070 0.6041490764 0.9193016720 +50 0 1.39651694771007 1.569794048 0.7000000000 0.8976637907 +50 5 1.36224379298881 1.541203517 0.7910935041 0.8736734869 +50 10 1.33035839185705 1.509942068 0.8780800355 0.8474420166 +50 15 1.30069969225204 1.476044510 0.9615303381 0.8189985880 +50 20 1.27315726249612 1.439461945 1.041936184 0.7883021718 +50 25 1.24767762469042 1.400074974 1.119711853 0.7552525784 +50 30 1.22426302206337 1.357697782 1.195192046 0.7196938928 +50 35 1.20297785451491 1.312085646 1.268628491 0.6814207662 +50 40 1.18395557383651 1.262941537 1.340183962 0.6401839625 +50 45 1.16739961361635 1.209919523 1.409919523 0.5956932098 + +55 -45 1.87260596733730 1.686646571 -0.4866465711 0.8308988743 +55 -40 1.80024069014611 1.715275592 -0.3197373010 0.8509451305 +55 -35 1.73270512876831 1.731199231 -0.1620949824 0.8620949824 +55 -30 1.66996229130467 1.736627851 -0.01396742279 0.8658961434 +55 -25 1.61184326511493 1.733425063 0.1248444473 0.8636535271 +55 -20 1.55809542756781 1.723112055 0.2548236188 0.8564322810 +55 -15 1.50842901806140 1.706902588 0.3766114263 0.8450822898 +55 -10 1.46254820406772 1.685744395 0.4909212709 0.8302671639 +55 -5 1.42016417328294 1.660354360 0.5984821478 0.8124888699 +55 0 1.38101804442133 1.631263754 0.7000000000 0.7921194085 +55 5 1.34487948431306 1.598842516 0.7961362632 0.7694178131 +55 10 1.31156248415462 1.563334432 0.8874945500 0.7445547853 +55 15 1.28092154289685 1.524872570 0.9746137776 0.7176234994 +55 20 1.25285683204692 1.483498358 1.057964128 0.6886529640 +55 25 1.22731961929861 1.439177408 1.137945617 0.6576191004 +55 30 1.20430935606024 1.391806060 1.214884469 0.6244493258 +55 35 1.18388109698317 1.341224206 1.289031530 0.5890315303 +55 40 1.16614553841854 1.287221518 1.360557286 0.5512184414 +55 45 1.15126823307139 1.229544029 1.429544029 0.5108322282 + +60 -45 1.88254494954077 1.732414961 -0.5324149615 0.7115351098 +60 -40 1.80815009719110 1.766759104 -0.3629370967 0.7313637095 +60 -35 1.73807214634750 1.787064046 -0.2012119473 0.7430867735 +60 -30 1.67246806456507 1.795488192 -0.04795045651 0.7479504565 +60 -25 1.61134353743147 1.793938344 0.09662664087 0.7470556514 +60 -20 1.55459616707327 1.784041613 0.2326470734 0.7413417708 +60 -15 1.50206131765788 1.767153983 0.3604671137 0.7315916930 +60 -10 1.45353815734774 1.744376144 0.4805829117 0.7184409016 +60 -5 1.40881126722135 1.716579336 0.5935630999 0.7023924069 +60 0 1.36767475652109 1.684441083 0.7000000000 0.6838373783 +60 5 1.32993515227806 1.648465846 0.8004777420 0.6630670654 +60 10 1.29543028449335 1.609019762 0.8955501063 0.6402928584 +60 15 1.26402721733643 1.566346030 0.9857265575 0.6156551674 +60 20 1.23563009312006 1.520586884 1.071463247 0.5892361121 +60 25 1.21018414595311 1.471800013 1.153157788 0.5610689989 +60 30 1.18767398873452 1.419968316 1.231143955 0.5311439548 +60 35 1.16813146409494 1.365015881 1.305690640 0.4994171517 +60 40 1.15163170450627 1.306813521 1.376996928 0.4658140033 +60 45 1.13829115187287 1.245186481 1.445186481 0.4302336153 + +65 -45 1.89076288612197 1.769728456 -0.5697284565 0.5920841030 +65 -40 1.81482064080090 1.809212098 -0.3985593885 0.6104956274 +65 -35 1.74271757105659 1.833573541 -0.2337782460 0.6218555548 +65 -30 1.67476611524527 1.844867835 -0.07645980642 0.6271221706 +65 -25 1.61112249193248 1.844992654 0.07281962530 0.6271803747 +65 -20 1.55182395741245 1.835638388 0.2138673831 0.6228184088 +65 -15 1.49682767604121 1.818271873 0.3467701163 0.6147202699 +65 -10 1.44602842384962 1.794126221 0.4718106308 0.6034609674 +65 -5 1.39928720016903 1.764216941 0.5893953494 0.5895140413 +65 0 1.35645323243689 1.729364127 0.7000000000 0.5732619072 +65 5 1.31737070798698 1.690207676 0.8041296789 0.5550029543 +65 10 1.28190006584005 1.647239197 0.9022892237 0.5349664232 +65 15 1.24991716449685 1.600815189 0.9949625410 0.5133185529 +65 20 1.22132518677805 1.551181608 1.082598816 0.4901740341 +65 25 1.19605663730741 1.498488569 1.165602866 0.4656028661 +65 30 1.17407347059275 1.442802480 1.244327265 0.4396360164 +65 35 1.15537587719236 1.384124155 1.319070398 0.4122738641 +65 40 1.13999667802939 1.322393910 1.390070426 0.3834885782 +65 45 1.12799984910150 1.257500328 1.457500328 0.3532282042 + +70 -45 1.89734327627640 1.799283749 -0.5992837490 0.4729006105 +70 -40 1.82025052341449 1.843161719 -0.4270465033 0.4888708857 +70 -35 1.74658084327558 1.871073971 -0.2600363297 0.4990301143 +70 -30 1.67676367840956 1.884947669 -0.09959990956 0.5040797276 +70 -25 1.61107960042869 1.886639090 0.05339957320 0.5046953545 +70 -20 1.54968757563405 1.877868276 0.1984969609 0.5015030391 +70 -15 1.49265459866216 1.860182525 0.3355401909 0.4950659523 +70 -10 1.43996452431673 1.834923468 0.4646169753 0.4858724075 +70 -5 1.39155134883779 1.803233746 0.5859818213 0.4743382918 +70 0 1.34731815373832 1.766064927 0.7000000000 0.4608099480 +70 5 1.30714489748666 1.724184320 0.8071022500 0.4455666536 +70 10 1.27091214120949 1.678202945 0.9077489680 0.4288308020 +70 15 1.23850136658410 1.628585218 1.002403498 0.4107714263 +70 20 1.20981029444080 1.575674382 1.091513457 0.3915134566 +70 25 1.18475465785655 1.519705743 1.175496597 0.3711425381 +70 30 1.16327008991063 1.460820073 1.254729728 0.3497099070 +70 35 1.14532258121357 1.399083478 1.329545029 0.3272396241 +70 40 1.13090262530550 1.334492338 1.400222213 0.3037303717 +70 45 1.12002592819190 1.266983764 1.466983764 0.2791592601 + +75 -45 1.90236782612925 1.821663561 -0.6216635613 0.3541386839 +75 -40 1.82445068692735 1.869067039 -0.4487836472 0.3668404074 +75 -35 1.74961860389894 1.899879739 -0.2802063461 0.3750966457 +75 -30 1.67838605103391 1.915903295 -0.1174721485 0.3793901445 +75 -25 1.61112993901299 1.918939078 0.03833784160 0.3802035800 +75 -20 1.54810798743984 1.910714463 0.1865419262 0.3779998012 +75 -15 1.48947758993684 1.892830046 0.3267923140 0.3732076860 +75 -10 1.43529986908677 1.866711802 0.4590118345 0.3662093236 +75 -5 1.38557228408830 1.833606531 0.5833245469 0.3573387931 +75 0 1.34024449223929 1.794576769 0.7000000000 0.3468807997 +75 5 1.29922801306992 1.750500594 0.8094046257 0.3350706242 +75 10 1.26242003297342 1.702093301 0.9119614824 0.3220999293 +75 15 1.22970512418571 1.649913403 1.008118368 0.3081183678 +75 20 1.20097355555486 1.594387975 1.098324648 0.2932403740 +75 25 1.17612396528216 1.535824743 1.183013010 0.2775484033 +75 30 1.15506690716568 1.474426020 1.262585125 0.2610966652 +75 35 1.13773660438009 1.410309491 1.337405568 0.2439166930 +75 40 1.12408600342292 1.343513671 1.407792010 0.2260188069 +75 45 1.11409025549961 1.274010407 1.474010407 0.2073954634 + +80 -45 1.90590344069426 1.837322592 -0.6373225919 0.2358060549 +80 -40 1.82743459675741 1.887297654 -0.4640809494 0.2446180066 +80 -35 1.75180290629024 1.920254370 -0.2944728158 0.2504291648 +80 -30 1.67957953735281 1.937890500 -0.1301664672 0.2535388905 +80 -25 1.61120950041069 1.941955377 0.02760516481 0.2542556380 +80 -20 1.54702289076917 1.934172251 0.1780039899 0.2528832628 +80 -15 1.48724434434273 1.916174029 0.3205373127 0.2497096906 +80 -10 1.43199446816717 1.889446369 0.4550031170 0.2449968830 +80 -5 1.38132003505940 1.855313423 0.5814254400 0.2389783237 +80 0 1.33520695860930 1.814922165 0.7000000000 0.2318562552 +80 5 1.29359087015835 1.769235967 0.8110437584 0.2238005458 +80 10 1.25638169993142 1.719051490 0.9149516686 0.2149516686 +80 15 1.22346546992135 1.665000244 1.012160874 0.2054209755 +80 20 1.19472537077517 1.607573769 1.103123884 0.1952951386 +80 25 1.17004501695183 1.547134282 1.188286735 0.1846380264 +80 30 1.14931432437771 1.483929675 1.268072063 0.1734933488 +80 35 1.13244205445187 1.418114572 1.342870745 0.1618883705 +80 40 1.11935208606647 1.349756552 1.413030410 0.1498350072 +80 45 1.10998908988841 1.278850311 1.478850311 0.1373323237 + +85 -45 1.90800439576670 1.846588521 -0.6465885207 0.1178112300 +85 -40 1.82921907663677 1.898126639 -0.4731675470 0.1223202311 +85 -35 1.75311962446895 1.932397774 -0.3029757188 0.1253185669 +85 -30 1.68030983393530 1.951031993 -0.1377537120 0.1269488498 +85 -25 1.61127523361801 1.955742215 0.02117625705 0.1273609408 +85 -20 1.54638995825269 1.948245212 0.1728818510 0.1267050380 +85 -15 1.48591995550282 1.930190673 0.3167815641 0.1251254706 +85 -10 1.43002317623118 1.903099612 0.4525956817 0.1227553099 +85 -5 1.37877759631572 1.868343709 0.5802854376 0.1197145624 +85 0 1.33219211196441 1.827122719 0.7000000000 0.1161081930 +85 5 1.29021746911093 1.780453760 0.8120251882 0.1120251882 +85 10 1.25277148007427 1.729185098 0.9167384970 0.1075397614 +85 15 1.21974072693863 1.673994470 1.014570870 0.1027112072 +85 20 1.19100323550783 1.615413822 1.105977430 0.09758606453 +85 25 1.16643251842936 1.553839234 1.191413305 0.09219898613 +85 30 1.14590530798217 1.489546826 1.271315126 0.08657412932 +85 35 1.12931403001997 1.422713362 1.346090852 0.08072695884 +85 40 1.11656426220303 1.353423332 1.416107203 0.07466486672 +85 45 1.10758181354644 1.281684235 1.481684235 0.06838850899 + +90 -45 1.90869944028144 1.849654317 -0.6496543175 0.000000000 +90 -40 1.82981093953149 1.901716502 -0.4761798000 0.000000000 +90 -35 1.75355750712551 1.936430217 -0.3057992659 0.000000000 +90 -30 1.68055357352235 1.955402087 -0.1402767868 0.000000000 +90 -25 1.61129810511137 1.960332020 0.01903599567 0.000000000 +90 -20 1.54618000379855 1.952933940 0.1711752935 0.000000000 +90 -15 1.48547913788775 1.934862664 0.3155297080 0.000000000 +90 -10 1.42936618104324 1.907650897 0.4517931674 0.000000000 +90 -5 1.37792978784761 1.872686349 0.5799055059 0.000000000 +90 0 1.33118672377101 1.831186724 0.7000000000 0.000000000 +90 5 1.28909288822691 1.784187501 0.8123518481 0.000000000 +90 10 1.25156873465078 1.732554593 0.9173326300 0.000000000 +90 15 1.21850099070963 1.676981576 1.015371263 0.000000000 +90 20 1.18976582806601 1.618014169 1.106923879 0.000000000 +90 25 1.16523319865761 1.556059922 1.192448829 0.000000000 +90 30 1.14477525117484 1.491404449 1.272387626 0.000000000 +90 35 1.12827879085991 1.424231878 1.347154128 0.000000000 +90 40 1.11564315802362 1.354632242 1.417121599 0.000000000 +90 45 1.10678778398314 1.282617147 1.482617147 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 1.18727273375726 1.185472232 1.385472232 0.6854722324 +40 45 1.19332037755757 1.108919891 1.425682468 0.7256824682 +35 45 1.20169788978454 1.033208503 1.461500660 0.7615006602 +30 45 1.21210522333234 0.9581327120 1.493509134 0.7935091337 +25 45 1.22433297032576 0.8833944985 1.522192155 0.8221921554 +20 45 1.23825057993224 0.8086259943 1.547942950 0.8479429504 +15 45 1.25379457707233 0.7334023712 1.571069508 0.8710695077 +10 45 1.27096402118449 0.6572487909 1.591802209 0.8918022093 +5 45 1.28981397514190 0.5796405769 1.610295960 0.9102959598 +0 45 1.31045256530124 0.5000000000 1.626629895 0.9266298953 +-5 45 1.33304435457954 0.4176901293 1.640806127 0.9408061268 +-10 45 1.35780862842279 0.3320064442 1.652738799 0.9527387986 +-15 45 1.38502397614631 0.2421683854 1.662240685 0.9622406853 +-20 45 1.41503522904213 0.1473115687 1.669003501 0.9690035010 +-25 45 1.44825428157858 0.04648552519 1.672564930 0.9725649298 +-30 45 1.48516953757006 -0.06134132160 1.672271689 0.9722716894 +-35 45 1.52633959070082 -0.1772561179 1.667221975 0.9672219748 +-40 45 1.57239053319525 -0.3023493864 1.656202764 0.9562027638 +-45 45 1.62398487335272 -0.4376081038 1.637608104 0.9376081038 + +45 50 1.16739965447479 1.209919548 1.409919548 0.5956932306 +40 50 1.17126398673229 1.133321416 1.454763072 0.6333214157 +35 50 1.17786201481961 1.056756633 1.495130876 0.6671940249 +30 50 1.18691369052378 0.9800849227 1.531531478 0.6977377565 +25 50 1.19821435170129 0.9030726816 1.564392155 0.7253111387 +20 50 1.21163017661513 0.8254116452 1.594061147 0.7502063789 +15 50 1.22709015410400 0.7467297446 1.620807943 0.7726496051 +10 50 1.24458448719692 0.6665984527 1.644826776 0.7928037994 +5 50 1.26416022913902 0.5845346374 1.666235327 0.8107677062 +0 50 1.28591764221637 0.5000000000 1.685070064 0.8265719275 +-5 50 1.31001395694201 0.4123991150 1.701282697 0.8401759417 +-10 50 1.33665972739454 0.3210764760 1.714725729 0.8514559849 +-15 50 1.36612207864220 0.2253152505 1.725137441 0.8601924488 +-20 50 1.39872721572087 0.1243390654 1.732119935 0.8660514568 +-25 50 1.43485678770722 0.01732211154 1.735106072 0.8685571234 +-30 50 1.47495060846642 -0.09659059834 1.733325228 0.8670628174 +-35 50 1.51949099781733 -0.2182392179 1.725751907 0.8607080472 +-40 50 1.56898994865734 -0.3483782877 1.711057872 0.8483782877 +-45 50 1.62395031221518 -0.4875573174 1.687557317 0.8286589808 + +45 55 1.15126826279714 1.229544047 1.429544047 0.5108322414 +40 55 1.15310060895430 1.153168051 1.478415371 0.5450523108 +35 55 1.15797495458418 1.076142115 1.522816214 0.5761421153 +30 55 1.16564990055440 0.9983561963 1.563178252 0.6044039190 +25 55 1.17594431675849 0.9196133198 1.599863668 0.6300913239 +20 55 1.18873799087329 0.8396442012 1.633164774 0.6534090089 +15 55 1.20396713800054 0.7581157024 1.663300916 0.6745105628 +10 55 1.22162319059275 0.6746372690 1.690417169 0.6934975675 +5 55 1.24175184746078 0.5887643717 1.714581411 0.7104175519 +0 55 1.26444865048952 0.5000000000 1.735775697 0.7252579509 +-5 55 1.28986342489569 0.4077964598 1.753891287 0.7379426239 +-10 55 1.31819460165430 0.3115573550 1.768711347 0.7483197411 +-15 55 1.34969142315351 0.2106428085 1.779895740 0.7561511379 +-20 55 1.38465137912245 0.1043797580 1.786957682 0.7610959624 +-25 55 1.42341423043865 -0.007918242554 1.789234186 0.7626899881 +-30 55 1.46635617651612 -0.1269186710 1.785854990 0.7603238496 +-35 55 1.51387206114424 -0.2532161626 1.775704161 0.7532161626 +-40 55 1.56635062565571 -0.3872514482 1.757385101 0.7403890184 +-45 55 1.62414020268299 -0.5291969780 1.729196978 0.7206514823 + +45 60 1.13829116426625 1.245186489 1.445186489 0.4302336200 +40 60 1.13830659856291 1.169163646 1.497478179 0.4604242412 +35 60 1.14159139902122 1.091929288 1.545362632 0.4880703434 +30 60 1.14795175541060 1.013379632 1.589199606 0.5133796320 +25 60 1.15724098248094 0.9333330309 1.629285684 0.5365233396 +20 60 1.16936424831083 0.8515419730 1.665853633 0.5576358549 +15 60 1.18427472851892 0.7676989362 1.699066031 0.5768110419 +10 60 1.20197380268140 0.6814424965 1.729011532 0.5941000848 +5 60 1.22251210416050 0.5923618385 1.755700645 0.6095090515 +0 60 1.24598436956800 0.5000000000 1.779054117 0.6229921848 +-5 60 1.27253402503809 0.4038589624 1.798897088 0.6344485294 +-10 60 1.30234545490972 0.3034060226 1.814939850 0.6437108225 +-15 60 1.33564561758790 0.1980844881 1.826764030 0.6505375161 +-20 60 1.37269642507071 0.08733097043 1.833798840 0.6545990657 +-25 60 1.41378828605548 -0.02939808764 1.835297863 0.6554645266 +-30 60 1.45922578810953 -0.1525856113 1.830311435 0.6525856113 +-35 60 1.50931247198791 -0.2825972212 1.817664662 0.6452839932 +-40 60 1.56431694051039 -0.4195976095 1.795933755 0.6327376484 +-45 60 1.62444502564521 -0.5634488989 1.763448899 0.6139825081 + +45 65 1.12799986372519 1.257500338 1.457500338 0.3532282088 +40 65 1.12645224477884 1.181871619 1.512622952 0.3789323057 +35 65 1.12833496906841 1.104581411 1.563431737 0.4026248314 +30 65 1.13350357965838 1.025518138 1.610224115 0.4244444754 +25 65 1.14185119337297 0.9445016831 1.653236936 0.4445016831 +20 65 1.15331427230332 0.8612933559 1.692645337 0.4628781225 +15 65 1.16786942205473 0.7756004494 1.728554880 0.4796230172 +10 65 1.18553391596425 0.6870822398 1.760996106 0.4947506093 +5 65 1.20636794164784 0.5953556244 1.789919774 0.5082379375 +0 65 1.23046824875308 0.5000000000 1.815182956 0.5200183524 +-5 65 1.25797300750445 0.4005653272 1.836543511 0.5299789432 +-10 65 1.28905207851018 0.2965821586 1.853639906 0.5379511228 +-15 65 1.32390808013318 0.1875766632 1.865979767 0.5437052944 +-20 65 1.36276431106810 0.07309321225 1.872916760 0.5469400674 +-25 65 1.40585889689168 -0.04727502977 1.873635089 0.5472750298 +-30 65 1.45342404937674 -0.1738405714 1.867126106 0.5442398412 +-35 65 1.50567449786694 -0.3067664635 1.852181917 0.5372712514 +-40 65 1.56276921633831 -0.4459859316 1.827382133 0.5257069221 +-45 65 1.62478929043759 -0.5911157676 1.791115768 0.5087956384 + +45 70 1.12002593302718 1.266983767 1.466983767 0.2791592613 +40 70 1.11719004137658 1.191731777 1.524373831 0.3000475363 +35 70 1.11789479056626 1.114468901 1.577552537 0.3194030023 +30 70 1.12204052905382 1.035068547 1.626765909 0.3373152052 +25 70 1.12955980748723 0.9533443620 1.672200122 0.3538519061 +20 70 1.14042122246813 0.8690580721 1.713978719 0.3690580721 +15 70 1.15462721987578 0.7819240409 1.752154845 0.3829530453 +10 70 1.17221383704590 0.6916153029 1.786704384 0.3955280492 +5 70 1.19325352795911 0.5977704445 1.817521295 0.4067444874 +0 70 1.21784724389777 0.5000000000 1.844402068 0.4165282889 +-5 70 1.24612928110917 0.3978971267 1.867041182 0.4247682524 +-10 70 1.27825576043188 0.2910506112 1.885010870 0.4313086838 +-15 70 1.31440518695105 0.1790631510 1.897752627 0.4359463041 +-20 70 1.35476303377094 0.06157757897 1.904555702 0.4384224210 +-25 70 1.39951684235556 -0.06169055045 1.904549273 0.4384200809 +-30 70 1.44883154366598 -0.1909056930 1.896683764 0.4355572698 +-35 70 1.50284137550543 -0.3260610001 1.879737371 0.4293892872 +-40 70 1.56161165868259 -0.4669047952 1.852312263 0.4194073644 +-45 70 1.62512136948803 -0.6128686157 1.812868616 0.4050510508 + +45 75 1.11409025830760 1.274010409 1.474010409 0.2073954639 +40 75 1.11024953882723 1.199079741 1.533130793 0.2232367233 +35 75 1.11002178151032 1.121878615 1.588134705 0.2379749769 +30 75 1.11334487853530 1.042264057 1.639228899 0.2516656249 +25 75 1.12018581201010 0.9600402142 1.686559423 0.2643478007 +20 75 1.13054233677794 0.8749648573 1.730207478 0.2760432619 +15 75 1.14444125521174 0.7867544135 1.770182040 0.2867544135 +10 75 1.16193699794369 0.6950902885 1.806412007 0.2964622037 +5 75 1.18311435336161 0.5996269952 1.838741765 0.3051249364 +0 75 1.20807926521494 0.5000000000 1.866914962 0.3126739218 +-5 75 1.23696348847174 0.3958385087 1.890571294 0.3190126167 +-10 75 1.26991130347343 0.2867807264 1.909226590 0.3240112882 +-15 75 1.30707969320550 0.1724944430 1.922267379 0.3275055570 +-20 75 1.34862062591451 0.05270552543 1.928931469 0.3292911946 +-25 75 1.39467720021536 -0.07276890226 1.928306875 0.3291238351 +-30 75 1.44535699965776 -0.2039733744 1.919317652 0.3267151801 +-35 75 1.50072655193063 -0.3407670601 1.900739801 0.3217372600 +-40 75 1.56077684823325 -0.4827587739 1.871206300 0.3138237821 +-45 75 1.62540804707879 -0.6292466991 1.829246699 0.3025807411 + +45 80 1.10998909227675 1.278850312 1.478850312 0.1373323240 +40 80 1.10543062763767 1.204162402 1.539188072 0.1479714990 +35 80 1.10452946462445 1.127025177 1.595484756 0.1578981233 +30 80 1.10725153154001 1.047281669 1.647919657 0.1671438110 +25 80 1.11359026514335 0.9647268667 1.696609982 0.1757292291 +20 80 1.12356645877173 0.8791134650 1.741605685 0.1836631855 +15 80 1.13722665800058 0.7901574885 1.782882489 0.1909413998 +10 80 1.15464063765546 0.6975450070 1.820333407 0.1975450070 +5 80 1.17590374500646 0.6009413211 1.853764580 0.2034398248 +0 80 1.20112667759236 0.5000000000 1.882878864 0.2085734587 +-5 80 1.23043954801224 0.3943772447 1.907273617 0.2128749118 +-10 80 1.26397752312152 0.2837487782 1.926421623 0.2162512218 +-15 80 1.30188065142030 0.1678318984 1.939668232 0.2185869564 +-20 80 1.34427467163951 0.04641523450 1.946213901 0.2197411345 +-25 80 1.39126810120574 -0.08060822344 1.945118353 0.2195479599 +-30 80 1.44292488435153 -0.2131950748 1.935290105 0.2178149746 +-35 80 1.49926035655143 -0.3511081144 1.915508357 0.2143269186 +-40 80 1.56021218120828 -0.4938595233 1.884435657 0.2088479633 +-45 80 1.62562487053143 -0.6406584504 1.840658450 0.2011288606 + +45 85 1.10758181473093 1.281684236 1.481684236 0.06838850907 +40 85 1.10259313013425 1.207146833 1.542744779 0.07373061443 +35 85 1.10128552498705 1.130055488 1.599812490 0.07872339215 +30 85 1.10364217051307 1.050243953 1.653050483 0.08338111302 +25 85 1.10967306287070 0.9675007760 1.702558649 0.08771251634 +20 85 1.11941368236812 0.8815746895 1.748367843 0.09172030149 +15 85 1.13292335558078 0.7921806889 1.790433176 0.09540054123 +10 85 1.15028193782162 0.6990070674 1.828625163 0.09874190716 +5 85 1.17159167863344 0.6017253149 1.862725669 0.1017253149 +0 85 1.19696663897580 0.5000000000 1.892411820 0.1043225165 +-5 85 1.22653614168250 0.3935040446 1.917254341 0.1064959554 +-10 85 1.26042964693020 0.2819365849 1.936699082 0.1081971498 +-15 85 1.29877640949498 0.1650458443 1.950065927 0.1093665973 +-20 85 1.34168549243939 0.04265948926 1.956532726 0.1099323689 +-25 85 1.38924349380431 -0.08528266844 1.955142733 0.1098107602 +-30 85 1.44148705939037 -0.2186836084 1.944796524 0.1089055843 +-35 85 1.49839982994254 -0.3572482023 1.924277311 0.1071103858 +-40 85 1.55988729728748 -0.5004319206 1.892268336 0.1043099632 +-45 85 1.62576085578626 -0.6473930095 1.847393010 0.1003838809 + +45 90 1.10678778474314 1.282617148 1.482617148 0.000000000 +40 90 1.10165570374520 1.208130637 1.543917230 0.000000000 +35 90 1.10021213905492 1.131055758 1.601241023 0.000000000 +30 90 1.10244610845495 1.051223054 1.654746336 0.000000000 +25 90 1.10837320626625 0.9684187578 1.704527268 0.000000000 +20 90 1.11803395929003 0.8823901350 1.750608261 0.000000000 +15 90 1.13149211342231 0.7928517083 1.792937455 0.000000000 +10 90 1.14883104000647 0.6994924165 1.831377715 0.000000000 +5 90 1.17015541611639 0.6019857644 1.865702621 0.000000000 +0 90 1.19558050741947 0.5000000000 1.895580507 0.000000000 +-5 90 1.22523539414179 0.3932136992 1.920573004 0.000000000 +-10 90 1.25924759333851 0.2813339502 1.940116793 0.000000000 +-15 90 1.29774265736757 0.1641194846 1.953523149 0.000000000 +-20 90 1.34082393304711 0.04141120624 1.959962356 0.000000000 +-25 90 1.38857051584316 -0.08683525771 1.958472271 0.000000000 +-30 90 1.44100976636462 -0.2205048832 1.947951065 0.000000000 +-35 90 1.49811461541213 -0.3592832424 1.927183650 0.000000000 +-40 90 1.55977980218680 -0.5026071307 1.894860650 0.000000000 +-45 90 1.62580573231897 -0.6496182582 1.849618258 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 1.62580572696161 -0.6496182544 1.849618254 1.407876316e-16 +-90 40 1.69589682637788 -0.7991323399 1.790101467 1.590978262e-16 +-90 35 1.76964358304842 -0.9496071587 1.715025860 1.775256767e-16 +-90 30 1.84651281898768 -1.099127010 1.623256409 1.958365774e-16 +-90 25 1.92587076922705 -1.245431675 1.513908157 2.137537314e-16 +-90 20 2.00697112964386 -1.385935961 1.386424553 2.309605438e-16 +-90 15 2.08897131468697 -1.517791343 1.240665561 2.471081710e-16 +-90 10 2.17096574474239 -1.637983897 1.076984245 2.618275136e-16 +-90 5 2.25198757925454 -1.743418087 0.8962736501 2.747394779e-16 +-90 -2.84217e-14 2.33105289194781 -1.831052892 0.7000000000 2.854716463e-16 +-90 -5 2.40716315426103 -1.898003172 0.4902019074 2.936706909e-16 +-90 -10 2.47933143878803 -1.941664823 0.2694686138 2.990177010e-16 +-90 -15 2.54661438458092 -1.959840604 0.04088769674 3.012435922e-16 +-90 -20 2.60812623017084 -1.950836973 -0.1920317071 3.001409654e-16 +-90 -25 2.66305244102786 -1.913545165 -0.4254545936 2.955740360e-16 +-90 -30 2.71065878824877 -1.847499372 -0.6553293941 2.874857591e-16 +-90 -35 2.75030818229729 -1.752920570 -0.8775119661 2.759031965e-16 +-90 -40 2.78147323320383 -1.630732114 -1.087896531 2.609394263e-16 +-90 -45 2.80373897633176 -1.482542843 -1.282542843 2.427914747e-16 + +-85 45 1.62576084723124 -0.6473930035 1.847393003 0.1003838804 +-85 40 1.69566632281545 -0.7960482901 1.787513642 0.1133895328 +-85 35 1.76915635642405 -0.9455006896 1.712150479 0.1264649235 +-85 30 1.84569791208500 -1.093852911 1.620211407 0.1394440611 +-85 25 1.92466298539977 -1.238879304 1.510852736 0.1521322263 +-85 20 2.00531547414927 -1.378044097 1.383552150 0.1643075681 +-85 15 2.08683165230828 -1.508565235 1.238193433 0.1757266881 +-85 10 2.16832738066500 -1.627503496 1.075136268 0.1861324375 +-85 5 2.24886088098316 -1.731842647 0.8952609304 0.1952609304 +-85 -2.84217e-14 2.32747619468046 -1.818619445 0.7000000000 0.2028529165 +-85 -5 2.40320255137984 -1.885016338 0.4913381081 0.2086618919 +-85 -10 2.47507675069037 -1.928477585 0.2717938798 0.2124642583 +-85 -15 2.54217375867987 -1.946829781 0.04437393624 0.2140698674 +-85 -20 2.60362004828171 -1.938376069 -0.1874963092 0.2133302635 +-85 -25 2.65860633167407 -1.901976638 -0.4200601011 0.2101457259 +-85 -30 2.70639698654653 -1.837109820 -0.6493309839 0.2044706147 +-85 -35 2.74634459056431 -1.743918682 -0.8712087763 0.1963174466 +-85 -40 2.77790282949262 -1.623233896 -1.081604779 0.1857588959 +-85 -45 2.80063321826543 -1.476568058 -1.276568058 0.1729272977 + +-80 45 1.62562484374641 -0.6406584316 1.840658432 0.2011288573 +-80 40 1.69497119228078 -0.7867380108 1.779701390 0.2268866284 +-80 35 1.76769114510153 -0.9331355794 1.703492336 0.2527004697 +-80 30 1.84325362394058 -1.078012125 1.611065725 0.2782461135 +-80 25 1.92104864157799 -1.219246577 1.501697845 0.3031495581 +-80 20 2.00037120196450 -1.354450174 1.374964664 0.3269896001 +-80 15 2.08045329155932 -1.481035551 1.230816876 0.3493100174 +-80 10 2.16047262242813 -1.596279634 1.069630659 0.3696306586 +-80 5 2.23956159406558 -1.697396557 0.8922472880 0.3874603003 +-80 -2.84217e-14 2.31684267956948 -1.781644633 0.7000000000 0.4023155092 +-80 -5 2.39142449038617 -1.846400276 0.4947165758 0.4137336762 +-80 -10 2.46241500268262 -1.889250559 0.2787106628 0.4212893372 +-80 -15 2.52894433697221 -1.908094745 0.05475295786 0.4246120756 +-80 -20 2.59017647023486 -1.901230933 -0.1739765850 0.4234018003 +-80 -25 2.64531904076078 -1.867433915 -0.4039525648 0.4174424743 +-80 -30 2.69363415711225 -1.806024144 -0.6313836603 0.4066142748 +-80 -35 2.73444620610103 -1.716921298 -0.8523050045 0.3909030389 +-80 -40 2.76715583128217 -1.600687378 -1.062686004 0.3704078628 +-80 -45 2.79125868276596 -1.458553207 -1.258553207 0.3453457736 + +-75 45 1.62540799506541 -0.6292466629 1.829246663 0.3025807314 +-75 40 1.69381830595855 -0.7710405542 1.766529660 0.3405742900 +-75 35 1.76525807043230 -0.9123929650 1.688968201 0.3784495544 +-75 30 1.83920341157559 -1.051570432 1.595799607 0.4157420443 +-75 25 1.91507563957303 -1.186627252 1.486487204 0.4519304101 +-75 20 1.99222456776097 -1.315416001 1.360757387 0.4864392515 +-75 15 2.06997047547081 -1.435656563 1.218657613 0.5186576129 +-75 10 2.14758752495516 -1.544961669 1.060581917 0.5479458278 +-75 5 2.22433044174083 -1.640907146 0.8873051050 0.5736543409 +-75 -2.84217e-14 2.29943755432485 -1.721086120 0.7000000000 0.5951382321 +-75 -5 2.37213868245964 -1.783171853 0.5002483459 0.6117740543 +-75 -10 2.44165497920560 -1.824976647 0.2900438877 0.6229756149 +-75 -15 2.50720768526569 -1.844522817 0.07178700443 0.6282129956 +-75 -20 2.56802558835227 -1.840115076 -0.1517322323 0.6270319447 +-75 -25 2.62335039494778 -1.810412276 -0.3773629380 0.6190731036 +-75 -30 2.67244443162537 -1.754500908 -0.6016367063 0.6040916977 +-75 -35 2.71459678917983 -1.671964242 -0.8208257353 0.5819760648 +-75 -40 2.74913666243221 -1.562951011 -1.031021433 0.5527660575 +-75 -45 2.77545721552834 -1.428239438 -1.228239438 0.5166702002 + +-70 45 1.62512124292860 -0.6128685291 1.812868529 0.4050510192 +-70 40 1.69221231241380 -0.7486824038 1.747768944 0.4544832270 +-70 35 1.76187052245693 -0.8830764389 1.668440548 0.5033986555 +-70 30 1.83358901638073 -1.014479868 1.574385359 0.5512255923 +-70 25 1.90683000084873 -1.141188317 1.465298681 0.5973436961 +-70 20 1.98102694441356 -1.261383535 1.341091178 0.6410911779 +-70 15 2.05561036442207 -1.373176352 1.201916091 0.6817804357 +-70 10 2.12998534999883 -1.474609362 1.048176907 0.7186990322 +-70 5 2.20355653191766 -1.563703388 0.8805506513 0.7511266056 +-70 -2.84217e-14 2.27571564859551 -1.638473202 0.7000000000 0.7783405923 +-70 -5 2.34584107397487 -1.696957556 0.5077911196 0.7996271562 +-70 -10 2.41329523129235 -1.737252645 0.3055119961 0.8142933693 +-70 -15 2.47742288839029 -1.757553303 0.09509041552 0.8216822047 +-70 -20 2.53754652959473 -1.756199841 -0.1211895846 0.8211895846 +-70 -25 2.59296572640912 -1.731738044 -0.3406765407 0.8122862185 +-70 -30 2.64295780296386 -1.682989944 -0.5603498319 0.7945433614 +-70 -35 2.68678289743496 -1.609136894 -0.7768335525 0.7676630495 +-70 -40 2.72369955878999 -1.509816196 -0.9864360287 0.7315132716 +-70 -45 2.75297701288628 -1.385214098 -1.185214098 0.6861618171 + +-65 45 1.62478909735103 -0.5911156380 1.791115638 0.5087955779 +-65 40 1.69017092067238 -0.7192897563 1.723105585 0.5685641509 +-65 35 1.75755379914269 -0.8449266146 1.641727754 0.6271495800 +-65 30 1.82646453964043 -0.9666844453 1.546790659 0.6839261889 +-65 25 1.89642762786977 -1.083170269 1.438244420 0.7382444204 +-65 20 1.96698304906003 -1.192961406 1.316187560 0.7894408685 +-65 15 2.03767993108869 -1.294606141 1.180863266 0.8368385868 +-65 10 2.10808484816206 -1.386635029 1.032664658 0.8797523622 +-65 5 2.17776074372410 -1.467546066 0.8721379758 0.9174817985 +-65 -2.84217e-14 2.24627664212597 -1.535818013 0.7000000000 0.9493175299 +-65 -5 2.31318083689627 -1.589894342 0.5171579371 0.9745337364 +-65 -10 2.37799387684615 -1.628190690 0.3247425613 0.9923916167 +-65 -15 2.44020449754095 -1.649113759 0.1241467039 1.002148204 +-65 -20 2.49925603639650 -1.651083109 -0.08293022321 1.003066527 +-65 -25 2.55453554627750 -1.632570032 -0.2944337374 0.9944337374 +-65 -30 2.60536647924999 -1.592156955 -0.5079073811 0.9755888101 +-65 -35 2.65100905642421 -1.528622189 -0.7204565490 0.9459620623 +-65 -40 2.69066311816134 -1.441045096 -0.9287302245 0.9051241933 +-65 -45 2.72347954849781 -1.328933447 -1.128933447 0.8528456727 + +-60 45 1.62444469678624 -0.5634486836 1.763448684 0.6139823838 +-60 40 1.68771773835178 -0.6823862482 1.692139865 0.6826510187 +-60 35 1.75234956434843 -0.7976366518 1.608614965 0.7491908702 +-60 30 1.81791401476288 -0.9081501408 1.512995863 0.8129958629 +-60 25 1.88402359156065 -1.012905417 1.405479382 0.8734763499 +-60 20 1.95033878627117 -1.110911061 1.286323676 0.9300599346 +-60 15 2.01655221295352 -1.201183659 1.155830788 0.9821788433 +-60 10 2.08238197228719 -1.282730254 1.014343443 1.029259792 +-60 5 2.14756486175127 -1.354530194 0.8622503681 1.070713507 +-60 -2.84217e-14 2.21184105361052 -1.415510542 0.7000000000 1.105920527 +-60 -5 2.27493402261130 -1.464519866 0.5281267825 1.134216073 +-60 -10 2.33653685846294 -1.500312624 0.3472909145 1.154881032 +-60 -15 2.39629627516773 -1.521539556 0.1583301086 1.167136407 +-60 -20 2.45379820103235 -1.526750783 -0.03767695746 1.170145110 +-60 -25 2.50854910495421 -1.514410832 -0.2393351975 1.163020636 +-60 -30 2.55995893540190 -1.482935665 -0.4448484398 1.144848440 +-60 -35 2.60732808222864 -1.430758880 -0.6519319225 1.114724159 +-60 -40 2.64983879358073 -1.356431842 -0.8577312737 1.071811424 +-60 -45 2.68655783725537 -1.258764950 -1.058764950 1.015423417 + +-55 45 1.62413977514542 -0.5291967071 1.729196707 0.7206512926 +-55 40 1.68489795231994 -0.6374119958 1.654401986 0.7964244535 +-55 35 1.74631680743646 -0.7408712102 1.568867375 0.8688673753 +-55 30 1.80804688418268 -0.8388812100 1.473003427 0.9374947160 +-55 25 1.86981231080439 -0.9308297944 1.367206891 1.001877808 +-55 20 1.93139808235786 -1.016156351 1.251835782 1.061624106 +-55 15 1.99264619629627 -1.094327490 1.127198764 1.116360127 +-55 10 2.05343239018364 -1.164797058 0.9935486388 1.165703450 +-55 5 2.11364737897472 -1.226969317 0.8510902375 1.209236934 +-55 -2.84217e-14 2.17319574559007 -1.280177738 0.7000000000 1.246493871 +-55 -5 2.23196823876055 -1.323644144 0.5404518111 1.276929376 +-55 -10 2.28982170604481 -1.356447019 0.3726583022 1.299898197 +-55 -15 2.34656735162261 -1.377501808 0.1969249067 1.314640919 +-55 -20 2.40195133899065 -1.385542815 0.01371853997 1.320271293 +-55 -25 2.45562809878659 -1.379111517 -0.1762440909 1.315768049 +-55 -30 2.50713555758958 -1.356565069 -0.3718883426 1.299980857 +-55 -35 2.55587053735440 -1.316111574 -0.5716550147 1.271655015 +-55 -40 2.60106351006920 -1.255881319 -0.7733593669 1.229481336 +-55 -45 2.64175758356904 -1.174048162 -0.9740481623 1.172181143 + +-50 45 1.62394976500177 -0.4875569846 1.687556985 0.8286587015 +-50 40 1.68177597363251 -0.5837372406 1.609363519 0.9093635189 +-50 35 1.73954429426714 -0.6743017106 1.522254910 0.9853561323 +-50 30 1.79700828935360 -0.7589533433 1.426857052 1.056387286 +-50 25 1.85401797822114 -0.8374890676 1.323681395 1.122286583 +-50 20 1.91050007192373 -0.9097568046 1.213109514 1.182926415 +-50 15 1.96642947528485 -0.9756078626 1.095387935 1.238182013 +-50 10 2.02182368443664 -1.034868202 0.9706386758 1.287907342 +-50 5 2.07671927142762 -1.087298412 0.8388706166 1.331901512 +-50 -2.84217e-14 2.13116053593410 -1.132563686 0.7000000000 1.369883587 +-50 -5 2.18518114503381 -1.170199053 0.5538765170 1.401463409 +-50 -10 2.23878797977147 -1.199576727 0.4003187672 1.426114205 +-50 -15 2.29195133119777 -1.219879328 0.2391597229 1.443150110 +-50 -20 2.34458151863256 -1.230065232 0.07030775227 1.451697098 +-50 -25 2.39649985207498 -1.228835637 -0.1061692973 1.450665346 +-50 -30 2.44741166570443 -1.214614850 -0.2899333453 1.438732688 +-50 -35 2.49686988068117 -1.185544071 -0.4802306647 1.414339409 +-50 -40 2.54423237735920 -1.139504559 -0.6757076708 1.375707671 +-50 -45 2.58861909860808 -1.074192088 -0.8741920879 1.320904000 + +-45 45 1.62398445123677 -0.4376078601 1.637607860 0.9376078601 +-45 40 1.67845241919170 -0.5207011606 1.556469967 1.020701161 +-45 35 1.73215277345984 -0.5976431696 1.468578022 1.097643170 +-45 30 1.78497692767041 -0.6685416978 1.374657864 1.168541698 +-45 25 1.83691061573961 -0.7335643448 1.275220501 1.233564345 +-45 20 1.88801052361506 -0.7928927632 1.170574482 1.292892763 +-45 15 1.93838212791486 -0.8466843747 1.060842991 1.346684375 +-45 10 1.98816210363353 -0.8950413441 0.9459834282 1.395041344 +-45 5 2.03750004455816 -0.9379810534 0.8258070405 1.437981053 +-45 -2.84217e-14 2.08655260697775 -0.9754154977 0.7000000000 1.475415498 +-45 -5 2.13547140869900 -1.007125084 0.5681436406 1.507125084 +-45 -10 2.18439056673590 -1.032729724 0.4297383955 1.532729724 +-45 -15 2.23342017586987 -1.051661053 0.2842336740 1.551661053 +-45 -20 2.28262276105000 -1.063119703 0.1310709555 1.563119703 +-45 -25 2.33199319604080 -1.066033553 -0.03025343892 1.566033553 +-45 -30 2.38143168727158 -1.059012996 -0.2000965727 1.559012996 +-45 -35 2.43070249355029 -1.040305238 -0.3785333385 1.540305238 +-45 -40 2.47937463697239 -1.007758302 -0.5651594351 1.507758302 +-45 -45 2.52675448306101 -0.9588223810 -0.7588223810 1.458822381 + + +### -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 2.80373899635857 -1.482542857 -1.282542857 2.427914764e-16 +-40 -90 2.81680635481487 -1.310608224 -1.457798855 2.642541462e-16 +-35 -90 2.82050324577908 -1.117774200 -1.610421000 2.829449682e-16 +-30 -90 2.81477977953093 -0.9073898898 -1.737670795 2.985285737e-16 +-25 -90 2.79972464779902 -0.6832147640 -1.837412250 3.107433790e-16 +-20 -90 2.77553633727102 -0.4492893359 -1.908151015 3.194063792e-16 +-15 -90 2.74253118775634 -0.2098193032 -1.949081704 3.244189429e-16 +-10 -90 2.70114687246417 0.03095076799 -1.960110382 3.257695665e-16 +-5 -90 2.65193051231864 0.2688690265 -1.941839116 3.235319817e-16 +-2.84217e-14 -90 2.59553655480884 0.5000000000 -1.895536555 3.178615534e-16 +5 -90 2.53271586553726 0.7207407324 -1.823078117 3.089879540e-16 +10 -90 2.46430211674945 0.9279215718 -1.726863830 2.972051022e-16 +15 -90 2.39119933744183 1.118887929 -1.609721196 2.828592669e-16 +20 -90 2.31436773436311 1.291560384 -1.474794282 2.663354856e-16 +25 -90 2.23479362630725 1.444464598 -1.325410866 2.480412934e-16 +30 -90 2.15347152831548 1.576735764 -1.164961050 2.283918580e-16 +35 -90 2.07138900253352 1.688099922 -0.9967825359 2.077959301e-16 +40 -90 1.98949874019151 1.778825140 -0.8240444545 1.866416163e-16 +45 -90 1.90869943907617 1.849654317 -0.6496543166 1.652849839e-16 + +-45 -85 2.80063325003608 -1.476568080 -1.276568080 0.1729272997 +-40 -85 2.81311992221384 -1.304191221 -1.450151369 0.1881138696 +-35 -85 2.81627478811205 -1.111216480 -1.601055604 0.2013162795 +-30 -85 2.81007986835846 -0.9010242594 -1.726645200 0.2123039454 +-25 -85 2.79464900403761 -0.6773743291 -1.824887397 0.2208990239 +-20 -85 2.77020233198352 -0.4442792342 -1.894385874 0.2269793528 +-15 -85 2.73707031057185 -0.2058898424 -1.934416756 0.2304816012 +-10 -85 2.69569616771925 0.03362513022 -1.944943320 0.2314025562 +-5 -85 2.64662596570803 0.2702024822 -1.926597648 0.2297975178 +-2.84217e-14 -85 2.59050515008002 0.5000000000 -1.880647496 0.2257774004 +5 -85 2.52806784525342 0.7195035201 -1.808936715 0.2195035201 +10 -85 2.46012550433764 0.9256194468 -1.713807831 0.2111808211 +15 -85 2.38755442835765 1.115749772 -1.598009433 0.2010497741 +20 -85 2.31128664845004 1.287848585 -1.464596196 0.1893776283 +25 -85 2.23227832872858 1.440449837 -1.316801183 0.1764472401 +30 -85 2.15149638067260 1.572673648 -1.157925258 0.1625473978 +35 -85 2.06990754802779 1.684212978 -0.9912314038 0.1479635752 +40 -85 1.98844772784393 1.775288659 -0.8198298409 0.1329678816 +45 -85 1.90800439369761 1.846588519 -0.6465885193 0.1178112299 + +-45 -80 2.79125875379727 -1.458553257 -1.258553257 0.3453457824 +-40 -80 2.80202342266134 -1.284896757 -1.427157123 0.3750751930 +-35 -80 2.80358003129585 -1.091551263 -1.572970764 0.4007860720 +-30 -80 2.79600376944666 -0.8819819306 -1.693662919 0.4220673553 +-25 -80 2.77947908978729 -0.6599406434 -1.787500737 0.4386134945 +-20 -80 2.75428763559108 -0.4293509263 -1.853370685 0.4502281435 +-15 -80 2.72079936734666 -0.1941978589 -1.890781680 0.4568247113 +-10 -80 2.67947266848601 0.04157472911 -1.899858904 0.4584252709 +-5 -80 2.63084850654081 0.2741640632 -1.881316569 0.4551557569 +-2.84217e-14 -80 2.57554430058133 0.5000000000 -1.836415995 0.4472385743 +5 -80 2.51424529955784 0.7158265446 -1.766908693 0.4349825615 +10 -80 2.44769674094427 0.9187712212 -1.674969613 0.4187712212 +15 -80 2.37669710293686 1.106401949 -1.563122885 0.3990496252 +20 -80 2.30209245454955 1.276771361 -1.434161774 0.3763103020 +25 -80 2.22475613516164 1.428441978 -1.291050246 0.3510758784 +30 -80 2.14557527927532 1.560494374 -1.136830137 0.3238827121 +35 -80 2.06545472415426 1.672528352 -0.9745440293 0.2952672928 +40 -80 1.98527969518275 1.764628719 -0.8071258187 0.2657469452 +45 -80 1.90590343236551 1.837322586 -0.6373225861 0.2358060538 + +-45 -75 2.77545730742123 -1.428239502 -1.228239502 0.5166702173 +-40 -75 2.78341531472092 -1.252605329 -1.388673698 0.5596584305 +-35 -75 2.78240255066989 -1.058813236 -1.526216016 0.5965127836 +-30 -75 2.77263148827903 -0.8504336612 -1.639019713 0.6267384433 +-25 -75 2.75439579015528 -0.6311809305 -1.725825334 0.6499979392 +-20 -75 2.72806519729663 -0.4048122693 -1.785951279 0.6661086376 +-15 -75 2.69406477504963 -0.1750324325 -1.819255335 0.6750324325 +-10 -75 2.65287234038768 0.05458029888 -1.826100653 0.6768666300 +-5 -75 2.60501397266323 0.2806385210 -1.807313179 0.6718325414 +-2.84217e-14 -75 2.55105900737222 0.5000000000 -1.764133780 0.6602626563 +5 -75 2.49161324954382 0.7098122979 -1.698165539 0.6425865194 +10 -75 2.42731894017095 0.9075490782 -1.611325678 0.6193178488 +15 -75 2.35885653616330 1.091041715 -1.505797711 0.5910417152 +20 -75 2.28693853352075 1.258504616 -1.383974304 0.5583992319 +25 -75 2.21231220902501 1.408556930 -1.248406624 0.5220739815 +30 -75 2.13574110162944 1.540230801 -1.101732600 0.4827727951 +35 -75 2.05802748163604 1.652989339 -0.9466394265 0.4412157046 +40 -75 1.97997114586060 1.746708662 -0.7857695266 0.3981107448 +45 -75 1.90236777100451 1.821663523 -0.6216635230 0.3541386736 + +-45 -70 2.75297700008191 -1.385214090 -1.185214090 0.6861618139 +-40 -70 2.75714209915025 -1.207142683 -1.334493425 0.7404950487 +-35 -70 2.75272756376692 -1.013081102 -1.460903760 0.7865046476 +-30 -70 2.74010459392983 -0.8066763156 -1.563229768 0.8237482688 +-25 -70 2.71970263925536 -0.5915418995 -1.640819158 0.8519884971 +-20 -70 2.69198534552923 -0.3711683912 -1.693515483 0.8711683912 +-15 -70 2.65743424919249 -0.1488627577 -1.721588779 0.8813862352 +-10 -70 2.61653859790523 0.07228892870 -1.725670023 0.8828716864 +-5 -70 2.56979347201201 0.2894413515 -1.706696365 0.8759658397 +-2.84217e-14 -70 2.51769794114368 0.5000000000 -1.665862177 0.8611034107 +5 -70 2.46075589684447 0.7016245436 -1.604579078 0.8387981871 +10 -70 2.39948250825548 0.8922301146 -1.524447518 0.8096326843 +15 -70 2.33440704788416 1.069989566 -1.427230021 0.7742484090 +20 -70 2.26608455850977 1.233340262 -1.314835811 0.7333402622 +25 -70 2.19509844981093 1.380994083 -1.189297907 0.6876482018 +30 -70 2.12206049368962 1.511949031 -1.052747136 0.6379477856 +35 -70 2.04762893753280 1.625512270 -0.9073981050 0.5850450648 +40 -70 1.97248467815694 1.721305491 -0.7554952067 0.5297569313 +45 -70 1.89734319924137 1.799283696 -0.5992836962 0.4729005913 + +-45 -65 2.72347954898606 -1.328933448 -1.128933448 0.8528456729 +-40 -65 2.72302228864473 -1.148318094 -1.264389011 0.9160096393 +-35 -65 2.71456089547181 -0.9545087246 -1.377253736 0.9686393250 +-30 -65 2.69864099349961 -0.7511515753 -1.467058096 1.010515786 +-25 -65 2.67582630777358 -0.5416500016 -1.533825637 1.041650002 +-20 -65 2.64666415579478 -0.3291080738 -1.577955711 1.062228193 +-15 -65 2.61166992293475 -0.1163166796 -1.600125162 1.072565978 +-10 -65 2.57132236502402 0.09423451247 -1.601210432 1.073072048 +-5 -65 2.52606519917749 0.3003307979 -1.582229423 1.064221058 +-2.84217e-14 -65 2.47631021169069 0.5000000000 -1.544299228 1.046533917 +5 -65 2.42244337056826 0.6914785632 -1.488609992 1.020565600 +10 -65 2.36483560495184 0.8731810080 -1.416414666 0.9869003667 +15 -65 2.30385648273842 1.043677118 -1.329030629 0.9461525207 +20 -65 2.23989033253099 1.201679945 -1.227849804 0.8989711276 +25 -65 2.17333468617553 1.346039249 -1.114337024 0.8460392488 +30 -65 2.10463072991817 1.475754856 -0.9900569858 0.7880865152 +35 -65 2.03426250473588 1.589993069 -0.8566714288 0.7258878085 +40 -65 1.96277152002186 1.688118006 -0.7159439019 0.6602654850 +45 -65 1.89076259680554 1.769728262 -0.5697282622 0.5920840124 + +-45 -60 2.68655811261862 -1.258765130 -1.058765130 1.015423521 +-40 -60 2.68086528185048 -1.075970470 -1.178168470 1.084361072 +-35 -60 2.66795887712554 -0.8833697410 -1.275656738 1.140645950 +-30 -60 2.64856170536904 -0.6844728032 -1.351567075 1.184472803 +-25 -60 2.62333579889872 -0.4823174862 -1.406586647 1.216238368 +-20 -60 2.59287426765732 -0.2794869195 -1.441622710 1.236466448 +-15 -60 2.55769572349766 -0.07815336909 -1.457697748 1.245747376 +-10 -60 2.51823872513906 0.1198623298 -1.455867858 1.244690888 +-5 -60 2.47487123388930 0.3130213546 -1.437175697 1.233898964 +-2.84217e-14 -60 2.42790049340503 0.5000000000 -1.402623505 1.213950247 +5 -60 2.37758529371360 0.6796286091 -1.353164398 1.185395018 +10 -60 2.32415641281624 0.8508402103 -1.289713706 1.148761744 +15 -60 2.26782720968328 1.012630150 -1.213161764 1.104564460 +20 -60 2.20880294792101 1.164024873 -1.124393344 1.053313988 +25 -60 2.14730346507146 1.304065474 -1.024323973 0.9955389100 +30 -60 2.08358374578533 1.431806978 -0.9139370296 0.9318069785 +35 -60 2.01795362643192 1.546333963 -0.7943197639 0.8627459180 +40 -60 1.95078783855103 1.646787960 -0.6666886713 0.7890580723 +45 -60 1.88254463381537 1.732414755 -0.5324147548 0.7115349904 + +-45 -55 2.64175746797440 -1.174048089 -0.9740480890 1.172181091 +-40 -55 2.63049447503291 -0.9900303892 -1.075749069 1.243392884 +-35 -55 2.61306418571913 -0.8001113033 -1.156751366 1.300111303 +-30 -55 2.59030352298022 -0.6074455634 -1.218151982 1.343104478 +-25 -55 2.56292827525823 -0.4145321141 -1.261220448 1.373261342 +-20 -55 2.53152817416233 -0.2233039335 -1.287261225 1.391495290 +-15 -55 2.49657308348028 -0.03523447177 -1.297522243 1.398680132 +-10 -55 2.45842651335577 0.1485553847 -1.293141458 1.395612673 +-5 -55 2.41736043330225 0.3271993874 -1.275120040 1.382993941 +-2.84217e-14 -55 2.37357035141907 0.5000000000 -1.244315006 1.361424024 +5 -55 2.32719254280947 0.6663551250 -1.201447780 1.331408069 +10 -55 2.27832075991095 0.8256975788 -1.147122757 1.293369279 +15 -55 2.22702309524778 0.9774462794 -1.081853773 1.247667444 +20 -55 2.17334743190888 1.120965140 -1.006087700 1.194615468 +25 -55 2.11734732600135 1.255535044 -0.9202501298 1.134511355 +30 -55 2.05910945038147 1.380341475 -0.8247961636 1.067673768 +35 -55 1.99875824814856 1.494467800 -0.7202472058 0.9944677996 +40 -55 1.93649316982682 1.596916834 -0.6072545778 0.9153495097 +45 -55 1.87260543560007 1.686646234 -0.4866462342 0.8308986384 + +-45 -50 2.58861902621636 -1.074192044 -0.8741920439 1.320903963 +-40 -50 2.57180547877573 -0.8906168935 -0.9572726787 1.390616893 +-35 -50 2.55011881420068 -0.7054005884 -1.021490448 1.444502000 +-30 -50 2.52443592516822 -0.5210882523 -1.068576732 1.484012084 +-25 -50 2.49544362838740 -0.3394534365 -1.100213704 1.510558655 +-20 -50 2.46365944224962 -0.1616734114 -1.117932757 1.525426706 +-15 -50 2.42945871038911 0.01151125680 -1.123064809 1.529733008 +-10 -50 2.39310058656992 0.1796626834 -1.116723200 1.524411767 +-5 -50 2.35474715549812 0.3425376053 -1.099803407 1.510214375 +-2.84217e-14 -50 2.31448022181907 0.5000000000 -1.072994713 1.487719209 +5 -50 2.27232202816035 0.6519506106 -1.036803426 1.457351114 +10 -50 2.22825031016043 0.7982706741 -0.9915770514 1.419401680 +15 -50 2.18220592718572 0.9387738825 -0.9375264226 1.374047817 +20 -50 2.13411021789868 1.073165253 -0.8747585911 1.321379353 +25 -50 2.08388348132599 1.201006879 -0.8033141033 1.261430310 +30 -50 2.03144992294642 1.321684413 -0.7231991512 1.194205883 +35 -50 1.97677302651616 1.434389157 -0.6344460122 1.119733157 +40 -50 1.91987535166961 1.538107711 -0.5371685935 1.038107711 +45 -50 1.86086719278277 1.631631306 -0.4316313061 0.9495514116 + +-45 -45 2.52675425697474 -0.9588222504 -0.7588222504 1.458822250 +-40 -45 2.50482865689425 -0.7781479496 -0.8232374108 1.523237411 +-35 -45 2.47953753005871 -0.6002020598 -0.8712513788 1.571251379 +-30 -45 2.45168279634955 -0.4266489961 -0.9050031420 1.605003142 +-25 -45 2.42183489455051 -0.2583869727 -0.9263661113 1.626366111 +-20 -45 2.39037811195496 -0.09578637275 -0.9369096060 1.636909606 +-15 -45 2.35755358723144 0.06112539691 -0.9379023169 1.637902317 +-10 -45 2.32349303398537 0.2125280777 -0.9303342867 1.630334287 +-5 -45 2.28824370281679 0.3587105953 -0.9149452851 1.614945285 +-2.84217e-14 -45 2.25178191894389 0.5000000000 -0.8922502646 1.592250265 +5 -45 2.21403247947485 0.6367071744 -0.8625701534 1.562570153 +10 -45 2.17488071634841 0.7690850074 -0.8260569107 1.526056911 +15 -45 2.13417389622883 0.8972909573 -0.7827100382 1.482710038 +20 -45 2.09173641899477 1.021351851 -0.7324024389 1.432402439 +25 -45 2.04738065636808 1.141128271 -0.6749040135 1.374904013 +30 -45 2.00091373542060 1.256274306 -0.6099055217 1.309905522 +35 -45 1.95215745257955 1.366196871 -0.5370573350 1.237057335 +40 -45 1.90096768803433 1.470013636 -0.4560172354 1.156017235 +45 -45 1.84727515154407 1.566524806 -0.3665248060 1.066524806 + + diff --git a/test/Kerr-definition-expansion-product-EE.par b/test/Kerr-definition-expansion-product-EE.par new file mode 100644 index 0000000..5a02f01 --- /dev/null +++ b/test/Kerr-definition-expansion-product-EE.par @@ -0,0 +1,69 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_definition[1] = "expansion product" +AHFinderDirect::desired_value[1] = -0.02 + +AHFinderDirect::max_Newton_iterations__initial = 50 diff --git a/test/Kerr-definition-expansion-product-EE/BH_diagnostics.ah1.gp b/test/Kerr-definition-expansion-product-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..96b8503 --- /dev/null +++ b/test/Kerr-definition-expansion-product-EE/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 +0 0.000 0.000048 0.000017 0.000000 1.080531538 2.800829600 2.037784647 1.255306188 2.326091901e-06 0.000000000 1.255317946 -0.000000000 1.136129710 -1.940044440 1.940541383 -1.940376093 1.940113780 -1.845784220 1.845784220 12.80965757 11.13336459 11.51557674 0.8691383456 0.8989761570 47.30477932 0.9701024082 1.940204816 0.01396799474 -1.432182012 -0.02000000000 0.7230750031 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6969169190 0.7348563253 34.14075770 diff --git a/test/Kerr-definition-expansion-product-EE/h.t0.ah1.gp b/test/Kerr-definition-expansion-product-EE/h.t0.ah1.gp new file mode 100644 index 0000000..274a008 --- /dev/null +++ b/test/Kerr-definition-expansion-product-EE/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 2.50556198434938 -0.9465868861 -0.7465868861 1.446586886 +-40 -45 2.48352269857057 -0.7672760814 -0.8102808229 1.510280823 +-35 -45 2.45812325717176 -0.5907002770 -0.8576814265 1.557681427 +-30 -45 2.43016689212804 -0.4185167487 -0.8909176764 1.590917676 +-25 -45 2.40022545624102 -0.2516200719 -0.9118544457 1.611854446 +-20 -45 2.36868378480703 -0.09037920122 -0.9220535243 1.622053524 +-15 -45 2.33578237644220 0.06517825557 -0.9227768424 1.622776842 +-10 -45 2.30165229303616 0.2152303022 -0.9150092101 1.615009210 +-5 -45 2.26634073984727 0.3600630110 -0.8994871034 1.599487103 +0 -45 2.22982400230381 0.5000000000 -0.8767236729 1.576723673 +5 -45 2.19202580942447 0.6353483553 -0.8470387797 1.547038780 +10 -45 2.15283125601370 0.7663569593 -0.8105853811 1.510585381 +15 -45 2.11208705103656 0.8931793412 -0.7673652778 1.467365278 +20 -45 2.06961882554952 1.015839183 -0.7172565082 1.417256508 +25 -45 2.02523943076298 1.134194843 -0.6600352299 1.360035230 +30 -45 1.97875712328969 1.247899893 -0.5954006142 1.295400614 +35 -45 1.92999331747566 1.356362365 -0.5230122046 1.223012205 +40 -45 1.87880619126657 1.458705209 -0.4425403771 1.142540377 +45 -45 1.82512867195213 1.553738530 -0.3537385301 1.053738530 + +-45 -40 2.45801721449104 -0.9947704176 -0.5542613061 1.494770418 +-40 -40 2.43443477747442 -0.8163383295 -0.6163383295 1.568750933 +-35 -40 2.40734788405750 -0.6379150413 -0.6636301230 1.625111098 +-30 -40 2.37753858364553 -0.4616709590 -0.6976571764 1.665662961 +-25 -40 2.34559241398231 -0.2890443167 -0.7198497140 1.692110998 +-20 -40 2.31193031229420 -0.1209230020 -0.7314804149 1.705971927 +-15 -40 2.27683994763738 0.04219815314 -0.7336350760 1.708539752 +-10 -40 2.24050488650344 0.2000889443 -0.7272078793 1.700880118 +-5 -40 2.20302734818665 0.3526831380 -0.7129090512 1.683839438 +0 -40 2.16443993754265 0.5000000000 -0.6912751738 1.658057187 +5 -40 2.12472912909043 0.6420810450 -0.6626925786 1.623993776 +10 -40 2.08384898705258 0.7789413017 -0.6274176332 1.581954733 +15 -40 2.04172411746224 0.9105273507 -0.5855920388 1.532108931 +20 -40 1.99826583497368 1.036681064 -0.5372684381 1.474519106 +25 -40 1.95338691245578 1.157108555 -0.4824372523 1.409173843 +30 -40 1.90700978380855 1.271350648 -0.4210526417 1.336018513 +35 -40 1.85908900408753 1.378761792 -0.3530716330 1.255001902 +40 -40 1.80962015823554 1.478490941 -0.2784909409 1.166120094 +45 -40 1.75868031988827 1.569489384 -0.1974081475 1.069489384 + +-45 -35 2.40919466772829 -1.026676002 -0.3689900451 1.526676002 +-40 -35 2.38353693241348 -0.8501425290 -0.4266599833 1.609037209 +-35 -35 2.35437854188956 -0.6714041206 -0.4714041206 1.672938460 +-30 -35 2.32247024322953 -0.4929374470 -0.5042296028 1.719818107 +-25 -35 2.28840259236080 -0.3165728557 -0.5261657278 1.751146140 +-20 -35 2.25262366774886 -0.1436158112 -0.5381909297 1.768319908 +-15 -35 2.21546207376009 0.02503226097 -0.5411904968 1.772603734 +-10 -35 2.17715000459662 0.1887652969 -0.5359361248 1.765099713 +-5 -35 2.13784100266453 0.3471803254 -0.5230783265 1.746736874 +0 -35 2.09762449011612 0.5000000000 -0.5031479798 1.718273389 +5 -35 2.05654807521445 0.6470085976 -0.4765699016 1.680315960 +10 -35 2.01463101025074 0.7880017835 -0.4436764755 1.633339279 +15 -35 1.97186986450523 0.9227445743 -0.4047203948 1.577704230 +20 -35 1.92825475008210 1.050937675 -0.3598963226 1.513688820 +25 -35 1.88378012360450 1.172191038 -0.3093620039 1.441518334 +30 -35 1.83845503404009 1.286003977 -0.2532617186 1.361398823 +35 -35 1.79232615207354 1.391758994 -0.1917589940 1.273563830 +40 -35 1.74547594528195 1.488716086 -0.1250587069 1.178305948 +45 -35 1.69805306991634 1.576034621 -0.05344755325 1.076034621 + +-45 -30 2.35978900413548 -1.044844534 -0.1919164074 1.544844534 +-40 -30 2.33161598834523 -0.8706611708 -0.2430961075 1.633490375 +-35 -30 2.30006076535527 -0.6926100108 -0.2833566096 1.703223610 +-30 -30 2.26584716061615 -0.5133176556 -0.3133176556 1.755117664 +-25 -30 2.22956832779282 -0.3348698462 -0.3336787785 1.790384163 +-20 -30 2.19169538965982 -0.1588818861 -0.3451558904 1.810263104 +-15 -30 2.15259344241671 0.01341782387 -0.3484388769 1.815949403 +-10 -30 2.11253913427377 0.1811042191 -0.3441655849 1.808547845 +-5 -30 2.07173372336454 0.3434787394 -0.3329063021 1.789046195 +0 -30 2.03031956243417 0.5000000000 -0.3151597812 1.758308319 +5 -30 1.98839950236850 0.6502252887 -0.2913582783 1.717082906 +10 -30 1.94604932891877 0.7937635144 -0.2618746005 1.666015679 +15 -30 1.90332402269814 0.9302361638 -0.2270300937 1.605663222 +20 -30 1.86027473662872 1.059248029 -0.1871110046 1.536521332 +25 -30 1.81695569314892 1.180365567 -0.1423821410 1.459048668 +30 -30 1.77343035191023 1.293102164 -0.09310216405 1.373693244 +35 -30 1.72979505575504 1.396920173 -0.03954802713 1.280934758 +40 -30 1.68617227571911 1.491231351 0.01797409276 1.181303523 +45 -30 1.64272968204082 1.575419016 0.07910654143 1.075419016 + +-45 -25 2.31023110991084 -1.051419378 -0.02343873712 1.551419378 +-40 -25 2.27921107428805 -0.8796673168 -0.06671400108 1.644223481 +-35 -25 2.24502084797354 -0.7029210381 -0.1010929069 1.717949283 +-30 -25 2.20836456247916 -0.5238482288 -0.1269300204 1.773357151 +-25 -25 2.16983927116626 -0.3446785480 -0.1446785480 1.811418992 +-20 -25 2.12993704171934 -0.1672353929 -0.1548418091 1.833214176 +-15 -25 2.08905601661962 0.007012713825 -0.1579378233 1.839853599 +-10 -25 2.04751250503949 0.1768939122 -0.1544741283 1.832425682 +-5 -25 2.00555000348815 0.3414741753 -0.1449301098 1.811958468 +0 -25 1.96335598957704 0.5000000000 -0.1297500955 1.779404822 +5 -25 1.92107879656095 0.6518489193 -0.1093427318 1.735641089 +10 -25 1.87883775555914 0.7964885027 -0.08408227029 1.681469855 +15 -25 1.83672900048743 0.9334417259 -0.05431164516 1.617626543 +20 -25 1.79484210959362 1.062261774 -0.02035278319 1.544801529 +25 -25 1.75326630013272 1.182514347 0.01748565328 1.463656740 +30 -25 1.71209056490404 1.293764273 0.05890155558 1.374840051 +35 -25 1.67142540231160 1.395578668 0.1035836970 1.279018889 +40 -25 1.63139416948691 1.487526448 0.1512080232 1.176888192 +45 -25 1.59214859654330 1.569196140 0.2014256517 1.069196140 + +-45 -20 2.26075646134882 -1.048145856 0.1365209901 1.548145856 +-40 -20 2.22667037658419 -0.8786899274 0.1019755495 1.643058674 +-35 -20 2.18970527160253 -0.7036068185 0.07436112612 1.718928679 +-30 -20 2.15055316558299 -0.5255363584 0.05348655998 1.776281078 +-25 -20 2.10981676192412 -0.3467666144 0.03906759280 1.815896865 +-20 -20 2.06800711911842 -0.1692393173 0.03076068266 1.838719913 +-15 -20 2.02555043389443 0.005423608924 0.02818948514 1.845784220 +-10 -20 1.98279575803784 0.1758833604 0.03096563676 1.838156806 +-5 -20 1.94002085407049 0.3410424131 0.03870483564 1.816893532 +0 -20 1.89744759612144 0.5000000000 0.05103470122 1.783017504 +5 -20 1.85525657658992 0.6520123393 0.06759844609 1.737508989 +10 -20 1.81359508583462 0.7964583430 0.08805727796 1.681298811 +15 -20 1.77258189340682 0.9328093446 0.1120910867 1.615266464 +20 -20 1.73232395259004 1.060607016 0.1393929843 1.540255117 +25 -20 1.69291952312663 1.179446556 0.1696670366 1.457077842 +30 -20 1.65445932924569 1.288963613 0.2026255526 1.366525063 +35 -20 1.61704407875999 1.388834358 0.2379809102 1.269387016 +40 -20 1.58077320533128 1.478769071 0.2754463537 1.166451557 +45 -20 1.54576066607819 1.558523114 0.3147290942 1.058523114 + +-45 -15 2.21146360276939 -1.036406798 0.2883210392 1.536406798 +-40 -15 2.17419990325833 -0.8690067441 0.2628358804 1.631518706 +-35 -15 2.13441964527038 -0.6957872858 0.2424067579 1.707761229 +-30 -15 2.09280836768761 -0.5193200496 0.2269319186 1.765514115 +-25 -15 2.04997437975597 -0.3418876963 0.2162354201 1.805433991 +-20 -15 2.00644362516020 -0.1654733954 0.2100888971 1.828373127 +-15 -15 1.96266250641176 0.008229773032 0.2082297730 1.835311473 +-10 -15 1.91900287982908 0.1777976550 0.2103763598 1.827300302 +-5 -15 1.87576550768093 0.3420466453 0.2162404804 1.805415106 +0 -15 1.83319319841095 0.5000000000 0.2255346869 1.770728655 +5 -15 1.79148347714136 0.6508561832 0.2379767979 1.724294065 +10 -15 1.75079527521232 0.7939601338 0.2532936585 1.667130763 +15 -15 1.71125271546728 0.9287762840 0.2712237160 1.600214877 +20 -15 1.67296207870601 1.054868196 0.2915147145 1.524487840 +25 -15 1.63601110123142 1.171880405 0.3139248222 1.440852179 +30 -15 1.60047402306039 1.279524435 0.3382214506 1.350175927 +35 -15 1.56642432956272 1.377573584 0.3641779469 1.253304964 +40 -15 1.53392722228610 1.465852638 0.3915748443 1.151058351 +45 -15 1.50305187315576 1.544240164 0.4201966913 1.044240164 + +-45 -10 2.16235693575653 -1.017269301 0.4324644852 1.517269301 +-40 -10 2.12190274064317 -0.8516579807 0.4159648726 1.610843254 +-35 -10 2.07936229475606 -0.6804234762 0.4027445491 1.685819435 +-30 -10 2.03541750525524 -0.5060466457 0.3927460210 1.742523905 +-25 -10 1.99067871399306 -0.3307560783 0.3858625235 1.781562159 +-20 -10 1.94567868595956 -0.1565103317 0.3819506825 1.803747312 +-15 -10 1.90087283177647 0.01500214764 0.3808417067 1.810036627 +-10 -10 1.85664224703509 0.1823510331 0.3823510331 1.801476811 +-5 -10 1.81329622088891 0.3443439637 0.3862866821 1.779156637 +0 -10 1.77108236252385 0.5000000000 0.3924547752 1.744175642 +5 -10 1.73019917829887 0.6485228630 0.4006630695 1.697624092 +10 -10 1.69080196841842 0.7892757069 0.4107242931 1.640564058 +15 -10 1.65300574567050 0.9217558498 0.4224588179 1.574014260 +20 -10 1.61690123665553 1.045574341 0.4356941110 1.498953183 +25 -10 1.58255407596265 1.160436267 0.4502663085 1.416310144 +30 -10 1.55001261903372 1.266125373 0.4660197264 1.326968072 +35 -10 1.51931598805997 1.362493402 0.4828060265 1.231768233 +40 -10 1.49049142419872 1.449447206 0.5004847661 1.131507119 +45 -10 1.46356405260253 1.526944614 0.5189219569 1.026944614 + +-45 -5 2.11337354931454 -0.9915293528 0.5695080903 1.491529353 +-40 -5 2.06980659925518 -0.8274680774 0.5615916351 1.582014850 +-35 -5 2.02465015780678 -0.6583208123 0.5552715670 1.654253559 +-30 -5 1.97858239628936 -0.4864637541 0.5505164021 1.708605342 +-25 -5 1.93220768958864 -0.3140312894 0.5472714133 1.745695734 +-20 -5 1.88605285426389 -0.1428990851 0.5454643362 1.766350719 +-15 -5 1.84056692291358 0.02531818778 0.5450106269 1.771536641 +-10 -5 1.79612358786577 0.1892576714 0.5458180880 1.762307319 +-5 -5 1.75302333467751 0.3477909549 0.5477909549 1.739757347 +0 -5 1.71150147878850 0.5000000000 0.5508328174 1.704988699 +5 -5 1.67174198051647 0.6451516620 0.5548483380 1.659091088 +10 -5 1.63388261806470 0.7826734713 0.5597450934 1.603120919 +15 -5 1.59801831683353 0.9121285791 0.5654350168 1.538084796 +20 -5 1.56421494123962 1.033194153 0.5718344538 1.464938896 +25 -5 1.53251090780907 1.145640651 0.5788648724 1.384580844 +30 -5 1.50292656195296 1.249315561 0.5864526086 1.297852623 +35 -5 1.47546711287981 1.344128186 0.5945289178 1.205539986 +40 -5 1.45012627939010 1.430036818 0.6030297771 1.108374719 +45 -5 1.42689312485339 1.507040606 0.6118953633 1.007040606 + +-45 0 2.06440231945393 -0.9597528792 0.7000000000 1.459752879 +-40 0 2.01788565971089 -0.7970718998 0.7000000000 1.545790096 +-35 0 1.97034329165595 -0.6301424836 0.7000000000 1.614010735 +-30 0 1.92244412060851 -0.4612220603 0.7000000000 1.664885446 +-25 0 1.87477360214302 -0.2923135609 0.7000000000 1.699121915 +-20 0 1.82783524427028 -0.1251564722 0.7000000000 1.717603291 +-15 0 1.78205233613984 0.03877091604 0.7000000000 1.721330375 +-10 0 1.73777157161911 0.1982391334 0.7000000000 1.711370917 +-5 0 1.69526624038349 0.3522478117 0.7000000000 1.688815241 +0 0 1.65474269981205 0.5000000000 0.7000000000 1.654742700 +5 0 1.61635679628061 0.6408747771 0.7000000000 1.610206071 +10 0 1.58021835730159 0.7744020381 0.7000000000 1.556211290 +15 0 1.54639319251665 0.9002360094 0.7000000000 1.493701122 +20 0 1.51492011979799 1.018133197 0.7000000000 1.423559258 +25 0 1.48581033965535 1.127930583 0.7000000000 1.346601481 +30 0 1.45905902056767 1.229529510 0.7000000000 1.263582177 +35 0 1.43464384637028 1.322877905 0.7000000000 1.175191440 +40 0 1.41253520783468 1.407960130 0.7000000000 1.082064747 +45 0 1.39269653804374 1.484785166 0.7000000000 0.9847851662 + +-45 5 2.01530941466864 -0.9223198487 0.8244368627 1.422319849 +-40 5 1.96608738357837 -0.7609478779 0.8314726410 1.502739164 +-35 5 1.91647244119502 -0.5964313544 0.8369955458 1.565866253 +-30 5 1.86710818915274 -0.4308859500 0.8410616259 1.612341761 +-25 5 1.81854514691529 -0.2661457196 0.8437442939 1.643004798 +-20 5 1.77124227325856 -0.1037635873 0.8451285417 1.658826823 +-15 5 1.72557496194126 0.05497458970 0.8453061979 1.660857442 +-10 5 1.68184196045245 0.2090292168 0.8443718077 1.650177313 +-5 5 1.64027072152650 0.3575808802 0.8424191198 1.627857988 +0 5 1.60102392573226 0.5000000000 0.8395384294 1.594931546 +5 5 1.56421795020787 0.6358157167 0.8358157167 1.552380745 +10 5 1.52992542637801 0.7646881277 0.8313310672 1.501120967 +15 5 1.49818109549919 0.8863805812 0.8261579494 1.441991960 +20 5 1.46899778425472 1.000737468 0.8203638313 1.375764888 +25 5 1.44236374248987 1.107662014 0.8140095741 1.303135395 +30 5 1.41825573623372 1.207101145 0.8071504379 1.224735109 +35 5 1.39663502067012 1.299027627 0.7998359135 1.141129713 +40 5 1.37746085694164 1.383432933 0.7921110721 1.052834372 +45 5 1.36068500617500 1.460313726 0.7840165644 0.9603137255 + +-45 10 1.96594350332495 -0.8794511334 0.9432344534 1.379451133 +-40 10 1.91434136208352 -0.7194408020 0.9562512326 1.453272957 +-35 10 1.86304806020453 -0.5576250580 0.9663322273 1.510445118 +-30 10 1.81265661266273 -0.3959425279 0.9736273788 1.551817979 +-25 10 1.76365947745313 -0.2360157220 0.9783128858 1.578390809 +-20 10 1.71644893739724 -0.07916369712 0.9805784002 1.591239180 +-15 10 1.67132942718769 0.07356895778 0.9806177450 1.591462315 +-10 10 1.62853110575526 0.2213780823 0.9786219177 1.580143416 +-5 10 1.58821870059513 0.3636649518 0.9747732844 1.558316732 +0 10 1.55049838917010 0.5000000000 0.9692412198 1.526942835 +5 10 1.51543743423176 0.6300873964 0.9621816006 1.486905745 +10 10 1.48306834606749 0.7537350040 0.9537350040 1.439002715 +15 10 1.45339567886035 0.8708263757 0.9440264686 1.383942875 +20 10 1.42640935583197 0.9812986266 0.9331672364 1.322357108 +25 10 1.40208205606007 1.085121136 0.9212544474 1.254796325 +30 10 1.38038090499518 1.182281436 0.9083737241 1.181746113 +35 10 1.36126527269961 1.272770329 0.8945998172 1.103630405 +40 10 1.34469507030179 1.356574521 0.8799991245 1.020825763 +45 10 1.33062639210617 1.433665734 0.8646304599 0.9336657344 + +-45 15 1.91614870373533 -0.8312377790 1.056704088 1.331237779 +-40 15 1.86257436199752 -0.6727886010 1.074505895 1.397675029 +-35 15 1.81007201431917 -0.5140747654 1.088057111 1.448248855 +-30 15 1.75915655260581 -0.3568121058 1.097647882 1.484042100 +-25 15 1.71023092777200 -0.2023611564 1.103589993 1.506218361 +-20 15 1.66359696145239 -0.05176208525 1.106198615 1.515953870 +-15 15 1.61946592859316 0.09422207095 1.105777929 1.514383848 +-10 15 1.57798105453025 0.2350555325 1.102613689 1.502574742 +-5 15 1.53923069723644 0.3703853700 1.096967265 1.481502001 +0 15 1.50325576583395 0.5000000000 1.089071222 1.452033568 +5 15 1.47007019509388 0.6237908033 1.079130786 1.414935356 +10 15 1.43966552734629 0.7417211636 1.067323199 1.370868840 +15 15 1.41201870221854 0.8537993697 1.053799370 1.320397223 +20 15 1.38710117746161 0.9600572470 1.038686948 1.263996898 +25 15 1.36487883965476 1.060531250 1.022091849 1.202063145 +30 15 1.34531937510806 1.155249202 1.004102213 1.134924909 +35 15 1.32839392459429 1.244219427 0.9847912706 1.062855491 +40 15 1.31407552318906 1.327420814 0.9642198026 0.9860817275 +45 15 1.30234116147500 1.404797082 0.9424396474 0.9047970817 + +-45 20 1.86577560399392 -0.7776664886 1.165032571 1.277666489 +-40 20 1.81072716056197 -0.6211499124 1.186313164 1.336134436 +-35 20 1.75756072160916 -0.4660715969 1.202167266 1.379693225 +-30 20 1.70668043036107 -0.3138663399 1.213073498 1.409657851 +-25 20 1.65836897559953 -0.1655798305 1.219509475 1.427340553 +-20 20 1.61280995394579 -0.02193042403 1.221930424 1.433992055 +-15 20 1.57010490046854 0.1166292370 1.220753749 1.430759166 +-10 20 1.53029580828848 0.2498510207 1.216351963 1.418665359 +-5 20 1.49338584723278 0.3776379079 1.209050631 1.398605113 +0 20 1.45934650294050 0.5000000000 1.199125900 1.371337140 +5 20 1.42813738371448 0.6170158928 1.186809378 1.337497774 +10 20 1.39971058884347 0.7288029368 1.172289936 1.297605936 +15 20 1.37401886120034 0.8354926534 1.155718260 1.252075628 +20 20 1.35102095154024 0.9372114249 1.137211425 1.201228518 +25 20 1.33068381828962 1.034064688 1.116857082 1.145305420 +30 20 1.31298668864949 1.126125226 1.094718696 1.084480704 +35 20 1.29792137702056 1.213423418 1.070839893 1.018874232 +40 20 1.28548829677792 1.295937192 1.045247972 0.9485610078 +45 20 1.27570142487169 1.373588955 1.017960377 0.8735889549 + +-45 25 1.81468810175907 -0.7186409726 1.268261618 1.218640973 +-40 25 1.75875949098418 -0.5646240777 1.291636967 1.268769569 +-35 25 1.70554756496526 -0.4138619132 1.308592146 1.305130070 +-30 25 1.65531008399070 -0.2674395461 1.319836790 1.329244286 +-25 25 1.60817901319535 -0.1260345325 1.326034533 1.342535387 +-20 25 1.56419636234876 0.009991537766 1.327784025 1.346287185 +-15 25 1.52334048246706 0.1405134738 1.325608604 1.341621980 +-10 25 1.48554477359589 0.2655747846 1.319952050 1.329491462 +-5 25 1.45072416695952 0.3853295881 1.311184228 1.310688806 +0 25 1.41878132263544 0.5000000000 1.299602896 1.285852561 +5 25 1.38962412135049 0.6098408464 1.285443025 1.255486619 +10 25 1.36316897915903 0.7151138002 1.268881813 1.219970984 +15 25 1.33934898473470 0.8160671691 1.250046597 1.179578734 +20 25 1.31811558792672 0.9129198915 1.229020479 1.134488078 +25 25 1.29944402490304 1.005849676 1.205849676 1.084798131 +30 25 1.28332961700795 1.094980909 1.180547372 1.030537164 +35 25 1.26979284437967 1.180376990 1.153101378 0.9716790418 +40 25 1.25887463096550 1.262030425 1.123478464 0.9081524970 +45 25 1.25063726649004 1.339856620 1.091631573 0.8398566196 + +-45 30 1.76278226555298 -0.6540118808 1.366269070 1.154011881 +-40 30 1.70666831349061 -0.5032801287 1.390316180 1.195662698 +-35 30 1.65410207400141 -0.3576724242 1.407186624 1.224883163 +-30 30 1.60515255549420 -0.2178460457 1.417846046 1.243345823 +-25 30 1.55977762462770 -0.08406431838 1.423148517 1.252529973 +-20 30 1.51786173226233 0.04369042082 1.423824186 1.253700265 +-15 30 1.47925202389809 0.1656230319 1.420482233 1.247911834 +-10 30 1.44377497248124 0.2820567014 1.413615248 1.236017867 +-5 30 1.41126024742775 0.3933780773 1.403613397 1.218694153 +0 30 1.38154685808159 0.5000000000 1.390773429 1.196454676 +5 30 1.35449641923454 0.6023333668 1.375312600 1.169675734 +10 30 1.32999545937350 0.7007678503 1.357377402 1.138611059 +15 30 1.30796231611021 0.7956578504 1.337054130 1.103410120 +20 30 1.28834468048281 0.8873106532 1.314374168 1.064127274 +25 30 1.27112725915819 0.9759781551 1.289323618 1.020738448 +30 30 1.25632688722143 1.061846464 1.261846464 0.9731466223 +35 30 1.24399744576833 1.145028092 1.231852518 0.9211955841 +40 30 1.23422766250109 1.225551695 1.199222561 0.8646788394 +45 30 1.22713674704180 1.303349576 1.163814094 0.8033495759 + +-45 35 1.71000424998500 -0.5836079321 1.458750443 1.083607932 +-40 35 1.65449793401704 -0.4371820485 1.482054849 1.116890073 +-35 35 1.60332863507963 -0.2977246379 1.497724638 1.139268852 +-30 35 1.55633768545073 -0.1653889205 1.506980377 1.152487417 +-25 35 1.51328828376202 -0.03998808578 1.510846062 1.158008187 +-20 35 1.47390343854156 0.07887881102 1.510154796 1.157020958 +-15 35 1.43790057999257 0.1917318534 1.505569437 1.150472386 +-10 35 1.40500827356679 0.2991468976 1.497602589 1.139094548 +-5 35 1.37498050675413 0.4017120200 1.486638882 1.123436752 +0 35 1.34760309733901 0.5000000000 1.472953382 1.103891832 +5 35 1.32270010497806 0.5945508106 1.456728788 1.080720710 +10 35 1.30013375290416 0.6858607545 1.438066862 1.054068718 +15 35 1.27981064054080 0.7743756138 1.417001127 1.023983731 +20 35 1.26167709516593 0.8604842383 1.393501164 0.9904223049 +25 35 1.24572605566541 0.9445136035 1.367481588 0.9532624990 +30 35 1.23199695311272 1.026721887 1.338805688 0.9123090700 +35 35 1.22057616672106 1.107288898 1.307288898 0.8672984298 +40 35 1.21160012240182 1.186304807 1.272704100 0.8179062189 +45 35 1.20525215842840 1.263752955 1.234785576 0.7637529550 + +-45 40 1.65636878800727 -0.5072716539 1.545201273 1.007271654 +-40 40 1.60236509128463 -0.3664247681 1.566424768 1.032564830 +-35 40 1.55338989104144 -0.2342626854 1.579909905 1.048635791 +-30 40 1.50903273732680 -0.1103761973 1.587098300 1.057202586 +-25 40 1.46885372209071 0.005885730825 1.589136375 1.059631470 +-20 40 1.43242368217546 0.1152890906 1.586915335 1.056984537 +-15 40 1.39934300984613 0.2186355523 1.581110341 1.050066414 +-10 40 1.36925838390537 0.3167128624 1.572221420 1.039473011 +-5 40 1.34186358325649 0.4102693244 1.560602663 1.025626315 +0 40 1.31690408836374 0.5000000000 1.546489631 1.008807059 +5 40 1.29417602427374 0.5865417994 1.530018302 0.9891772932 +10 40 1.27352443371170 0.6704723161 1.511238626 0.9667965473 +15 40 1.25484734759221 0.7523108547 1.490127200 0.9416369291 +20 40 1.23809094223942 0.8325183032 1.466590120 0.9135865296 +25 40 1.22325443050688 0.9114960257 1.440468567 0.8824560748 +30 40 1.21039294871246 0.9895818540 1.411540247 0.8479806456 +35 40 1.19961911873784 1.067040870 1.379518227 0.8098182885 +40 40 1.19111065300788 1.144052830 1.344052830 0.7675522736 +45 40 1.18511415761011 1.220692098 1.304732474 0.7206920984 + +-45 45 1.60198637687266 -0.4249072659 1.624907266 0.9249072659 +-40 45 1.55046618183450 -0.2911619686 1.642870118 0.9428701184 +-35 45 1.50450591300252 -0.1675682398 1.653386251 0.9533862511 +-30 45 1.46343713497283 -0.05312724550 1.658044492 0.9580444923 +-25 45 1.42663011929135 0.05325703675 1.658043376 0.9580433764 +-20 45 1.39352291644211 0.1526733743 1.654272061 0.9542720612 +-15 45 1.36362501066530 0.2461519481 1.647373827 0.9473738270 +-10 45 1.33652283589227 0.3346400083 1.637803115 0.9378031147 +-5 45 1.31187026854051 0.4189975399 1.625862356 0.9258623556 +0 45 1.28938776107503 0.5000000000 1.611734829 0.9117348294 +5 45 1.26885516275587 0.5783464586 1.595504120 0.8955041196 +10 45 1.25010730302203 0.6546683137 1.577167596 0.8771675957 +15 45 1.23303566949328 0.7295379596 1.556647327 0.8566473275 +20 45 1.21758431058195 0.8034750596 1.533790874 0.8337908735 +25 45 1.20375285197975 0.8769499248 1.508371722 0.8083717223 +30 45 1.19160329467903 0.9503837113 1.480087471 0.7800874709 +35 45 1.18126487862437 1.024142118 1.448552521 0.7485525211 +40 45 1.17294457198532 1.098522656 1.413291525 0.7132915251 +45 45 1.16693949597854 1.173732832 1.373732832 0.6737328321 + + +### +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 1.82512902525696 1.553738734 -0.3537387340 1.053738734 +45 -40 1.75868049305193 1.569489489 -0.1974082359 1.069489489 +45 -35 1.69805315112871 1.576034673 -0.05344758929 1.076034673 +45 -30 1.64272984175137 1.575419121 0.07910648107 1.075419121 +45 -25 1.59214863036466 1.569196163 0.2014256411 1.069196163 +45 -20 1.54576073162581 1.558523159 0.3147290779 1.058523159 +45 -15 1.50305190308551 1.544240185 0.4201966857 1.044240185 +45 -10 1.46356408501623 1.526944636 0.5189219529 1.026944636 +45 -5 1.42689314382702 1.507040619 0.6118953621 1.007040619 +45 0 1.39269654904499 1.484785174 0.7000000000 0.9847851740 +45 5 1.36068501189303 1.460313730 0.7840165648 0.9603137296 +45 10 1.33062639781755 1.433665738 0.8646304606 0.9336657384 +45 15 1.30234117700852 1.404797093 0.9424396503 0.9047970925 +45 20 1.27570145051362 1.373588972 1.017960383 0.8735889725 +45 25 1.25063727929492 1.339856628 1.091631577 0.8398566282 +45 30 1.22713677064689 1.303349591 1.163814103 0.8033495914 +45 35 1.20525216126907 1.263752957 1.234785578 0.7637529568 +45 40 1.18511417631185 1.220692110 1.304732484 0.7206921098 +45 45 1.16693958893248 1.173732886 1.373732886 0.6737328858 + +50 -45 1.83877686771068 1.618197729 -0.4181977287 0.9382793018 +50 -40 1.76900250736343 1.639946061 -0.2565283190 0.9565283190 +50 -35 1.70460137147019 1.650713042 -0.1057379463 0.9655628891 +50 -30 1.64530505038789 1.652672643 0.03450413944 0.9672071894 +50 -25 1.59074623805658 1.647564764 0.1648817625 0.9629211698 +50 -20 1.54051788627511 1.636747182 0.2862578619 0.9538441411 +50 -15 1.49420684110905 1.621252194 0.3995613802 0.9408423022 +50 -10 1.45142701996588 1.601851362 0.5057138762 0.9245630713 +50 -5 1.41182229998612 1.579097847 0.6055911716 0.9054706052 +50 0 1.37508556109023 1.553376653 0.7000000000 0.8838879609 +50 5 1.34095235677027 1.524929838 0.7896697417 0.8600182488 +50 10 1.30921072235568 1.493887807 0.8752492361 0.8339708920 +50 15 1.27969786336479 1.460284746 0.9573075222 0.8057745761 +50 20 1.25230125065673 1.424072307 1.036334814 0.7753887322 +50 25 1.22696615198299 1.385133712 1.112744628 0.7427153710 +50 30 1.20369298822916 1.343286768 1.186871842 0.7076016157 +50 35 1.18254325413457 1.298291007 1.258969381 0.6698456894 +50 40 1.16364778202168 1.249855186 1.329203210 0.6292032104 +50 45 1.14720707885657 1.197640030 1.397640030 0.5853894922 + +55 -45 1.85056685296275 1.672680665 -0.4726806648 0.8211198414 +55 -40 1.77816811141965 1.700375214 -0.3072343996 0.8405117737 +55 -35 1.71063698581795 1.715518386 -0.1511151365 0.8511151365 +55 -30 1.64793186720999 1.720314048 -0.004548644181 0.8544730955 +55 -25 1.58987931389343 1.716617667 0.1326818647 0.8518848618 +55 -20 1.53622229725340 1.705941547 0.2610731725 0.8444093621 +55 -15 1.48666604497352 1.689489910 0.3812771392 0.8328898015 +55 -10 1.44091113150656 1.668202384 0.4940144008 0.8179841152 +55 -5 1.39866467762560 1.642788058 0.6000190002 0.8001888125 +55 0 1.35966463578489 1.613772066 0.7000000000 0.7798715964 +55 5 1.32367842053921 1.581520049 0.7946207437 0.7572884912 +55 10 1.29051716426716 1.546272178 0.8844860141 0.7326076658 +55 15 1.26003287330177 1.508159428 0.9701355045 0.7059208309 +55 20 1.23212296644819 1.467222178 1.052040083 0.6772562604 +55 25 1.20673659555280 1.423426734 1.130600958 0.6465903600 +55 30 1.18387085144947 1.376671093 1.206146292 0.6138517078 +55 35 1.16357727807099 1.326797027 1.278929511 0.5789295111 +55 40 1.14596392936033 1.273597664 1.349125515 0.5416789159 +55 45 1.13119335311707 1.216822833 1.416822833 0.5019247509 + +60 -45 1.86055222766545 1.718017345 -0.5180173454 0.7032226422 +60 -40 1.78611756956905 1.751323491 -0.3499850796 0.7224519543 +60 -35 1.71603873657363 1.770748032 -0.1897873513 0.7336667184 +60 -30 1.65046890191924 1.778447714 -0.03811213189 0.7381121319 +60 -25 1.58941078050164 1.776325939 0.1048394403 0.7368871246 +60 -20 1.53275721093041 1.766003405 0.2392124440 0.7309274068 +60 -15 1.48033824273478 1.748828179 0.3653774980 0.7210112853 +60 -10 1.43194918024261 1.725893789 0.4838418495 0.7077701090 +60 -5 1.38736980329692 1.698063554 0.5951830209 0.6917023153 +60 0 1.34639061595009 1.666008477 0.7000000000 0.6731953080 +60 5 1.30881456945005 1.630227161 0.7988820638 0.6525369558 +60 10 1.27447612341258 1.591080874 0.8923869963 0.6299358366 +60 15 1.24323912423390 1.548808986 0.9810275209 0.6055301505 +60 20 1.21500389569543 1.503550372 1.065262464 0.5794000774 +60 25 1.18971312124933 1.455361405 1.145492340 0.5515781645 +60 30 1.16734861432230 1.404224348 1.222054171 0.5220541710 +60 35 1.14793881262590 1.350062971 1.295220500 0.4907840853 +60 40 1.13155602030375 1.292748839 1.365195258 0.4576937555 +60 45 1.11831353925219 1.232108063 1.432108063 0.4226827875 + +65 -45 1.86881109008249 1.754986883 -0.5549868830 0.5852099944 +65 -40 1.79282410401039 1.793343790 -0.3852442975 0.6030961141 +65 -35 1.72071521839722 1.816736759 -0.2219890045 0.6140044345 +65 -30 1.65279511414250 1.827224719 -0.06627354871 0.6188950505 +65 -25 1.58921749148744 1.826705984 0.08134683937 0.6186531606 +65 -20 1.53001489674181 1.816867561 0.2206994053 0.6140654285 +65 -15 1.47513923441217 1.799170634 0.3518882777 0.6058132160 +65 -10 1.42448128734156 1.774842565 0.4752108596 0.5944688510 +65 -5 1.37789621484868 1.744890783 0.5910861692 0.5805021057 +65 0 1.33522912444333 1.710128553 0.7000000000 0.5642922116 +65 5 1.29631972050224 1.671188697 0.8024657338 0.5461342584 +65 10 1.26102437518818 1.628556453 0.8989949519 0.5262545167 +65 15 1.22921515031795 1.582582708 0.9900771622 0.5048166072 +65 20 1.20079079388888 1.533507875 1.076166103 0.4819326367 +65 25 1.17568064244707 1.481478339 1.157670866 0.4576708658 +65 30 1.15384337478241 1.426557343 1.234948131 0.4320607845 +65 35 1.13527584496953 1.368743079 1.308300453 0.4051015507 +65 40 1.12000810645281 1.307974149 1.377970810 0.3767645332 +65 45 1.10810100266010 1.244137399 1.444137399 0.3469969678 + +70 -45 1.87542556393696 1.784274695 -0.5842746951 0.4674377616 +70 -40 1.79828411940449 1.826952724 -0.4134455410 0.4829712937 +70 -35 1.72460473217538 1.853822623 -0.2479568058 0.4927511371 +70 -30 1.65481663706295 1.866820187 -0.08913400283 0.4974818636 +70 -25 1.58919802492102 1.867805851 0.06218165700 0.4978406159 +70 -20 1.52790327388856 1.858499276 0.2055467002 0.4944532998 +70 -15 1.47099454932296 1.840444790 0.3408289010 0.4878820043 +70 -10 1.41845133753211 1.814979604 0.4681336168 0.4786134344 +70 -5 1.37020178058049 1.783239171 0.5877311200 0.4670608616 +70 0 1.32614371921245 1.746167467 0.7000000000 0.4535678649 +70 5 1.28615181132737 1.704523602 0.8053821601 0.4384107375 +70 10 1.25010183934328 1.658910692 0.9043472232 0.4218089960 +70 15 1.21787081624384 1.609785615 0.9973661593 0.4039289303 +70 20 1.18935183008644 1.557484219 1.084892779 0.3848927789 +70 25 1.16445665631139 1.502235469 1.167350074 0.3647838783 +70 30 1.14311744835137 1.444174702 1.245119518 0.3436514873 +70 35 1.12529701455268 1.383363316 1.318537653 0.3215179532 +70 40 1.11098334044271 1.319793910 1.387888768 0.2983805815 +70 45 1.10018906081121 1.253399654 1.453399654 0.2742150485 + +75 -45 1.88047755449975 1.806455370 -0.6064553697 0.3500636613 +75 -40 1.80250855411773 1.852601671 -0.4349675635 0.3624285255 +75 -35 1.72766408421364 1.882313804 -0.2679065457 0.3703898675 +75 -30 1.65645891804826 1.897405346 -0.1067923526 0.3744336339 +75 -25 1.58926771711985 1.899684789 0.04731626387 0.3750444089 +75 -20 1.52634369995850 1.890881742 0.1937604467 0.3726856394 +75 -15 1.46784044491464 1.872596868 0.3322137778 0.3677862222 +75 -10 1.41381393813804 1.846252610 0.4626193420 0.3607272997 +75 -5 1.36425547619478 1.813089208 0.5851195801 0.3518411929 +75 0 1.31910925103492 1.774161693 0.7000000000 0.3414105967 +75 5 1.27828055905701 1.730338772 0.8076406948 0.3296682803 +75 10 1.24166115999570 1.682326424 0.9084760485 0.3168034105 +75 15 1.20913059919039 1.630673895 1.002963157 0.3029631571 +75 20 1.18057419455810 1.575799043 1.091558830 0.2882594848 +75 25 1.15588643443303 1.518001337 1.174701819 0.2727726360 +75 30 1.13497402501876 1.457475463 1.252798716 0.2565547772 +75 35 1.11776814301607 1.394332612 1.326218437 0.2396357013 +75 40 1.10421960588460 1.328605934 1.395282934 0.2220242909 +75 45 1.09430019739646 1.260261331 1.460261331 0.2037114097 + +80 -45 1.88403262313987 1.821976411 -0.6219764113 0.2331001092 +80 -40 1.80550989321643 1.870653507 -0.4501148519 0.2416831944 +80 -35 1.72986403017193 1.902467674 -0.2820184376 0.2472928905 +80 -30 1.65766686531521 1.919131029 -0.1193356818 0.2502310896 +80 -25 1.58936126789016 1.922402255 0.03672293547 0.2508078950 +80 -20 1.52527301216893 1.914008960 0.1853428275 0.2493279306 +80 -15 1.46562357405911 1.895586441 0.3260537402 0.2460795434 +80 -10 1.41052808451497 1.868617804 0.4586757548 0.2413242452 +80 -5 1.36002680630137 1.834421089 0.5832532823 0.2352944417 +80 0 1.31409978898220 1.794135660 0.7000000000 0.2281910336 +80 5 1.27267620690732 1.748715071 0.8092484127 0.2201821583 +80 10 1.23565985244077 1.698945340 0.9114064119 0.2114064119 +80 15 1.20293126218100 1.645447295 1.006921678 0.2019732631 +80 20 1.17436842445580 1.588701801 1.096255049 0.1919675014 +80 25 1.14985075281862 1.529061383 1.179859203 0.1814512866 +80 30 1.12926399534189 1.466764559 1.258161778 0.1704666758 +80 35 1.11251403995811 1.401958160 1.331557903 0.1590395591 +80 40 1.09952290436509 1.334703222 1.400399165 0.1471806989 +80 45 1.09023172207478 1.264987082 1.464987082 0.1348878625 + +85 -45 1.88614540665741 1.831161374 -0.6311613740 0.1164615295 +85 -40 1.80730510172544 1.881377135 -0.4591130444 0.1208548394 +85 -35 1.73119051039016 1.914480449 -0.2904298727 0.1237510040 +85 -30 1.65840625694550 1.932117154 -0.1268332242 0.1252940158 +85 -25 1.58943578866708 1.936010885 0.03037712693 0.1256346732 +85 -20 1.52464907091493 1.927884154 0.1802926701 0.1249236763 +85 -15 1.46430929841607 1.909390522 0.3223549479 0.1233056931 +85 -10 1.40856879526993 1.882049161 0.4563074443 0.1209136340 +85 -5 1.35749879727862 1.847225938 0.5821330033 0.1178669967 +85 0 1.31110206592731 1.806112927 0.7000000000 0.1142700744 +85 5 1.26932268650894 1.759717099 0.8102109654 0.1102109654 +85 10 1.23207203263601 1.708875366 0.9131573434 0.1057628902 +85 15 1.19923082501524 1.654253790 1.009281371 0.1009841215 +85 20 1.17067165200466 1.596372623 1.099047000 0.09592017550 +85 25 1.14626408535986 1.535617617 1.182916426 0.09060480125 +85 30 1.12588033007999 1.472254251 1.261331254 0.08506122506 +85 35 1.10941004746508 1.406450684 1.334703602 0.07930415886 +85 40 1.09675706077669 1.338284098 1.403403877 0.07334035535 +85 45 1.08784370710222 1.267753917 1.467753917 0.06716976411 + +90 -45 1.88684432540869 1.834200418 -0.6342004175 0.000000000 +90 -40 1.80790048886489 1.884932123 -0.4620960338 0.000000000 +90 -35 1.73163160888605 1.918469572 -0.2932230873 0.000000000 +90 -30 1.65865299643690 1.936435631 -0.1293264982 0.000000000 +90 -25 1.58946155292379 1.940541383 0.02826452140 0.000000000 +90 -20 1.52444206877533 1.932506963 0.1786101051 0.000000000 +90 -15 1.46387180352316 1.913991581 0.3211220977 0.000000000 +90 -10 1.40791575885867 1.886526355 0.4555179942 0.000000000 +90 -5 1.35665576938240 1.851493285 0.5817596588 0.000000000 +90 0 1.31010237129808 1.810102371 0.7000000000 0.000000000 +90 5 1.26820470784685 1.763378806 0.8105313233 0.000000000 +90 10 1.23087673366192 1.712176950 0.9137395017 0.000000000 +90 15 1.19799917009539 1.657178338 1.010065001 0.000000000 +90 20 1.16944267790762 1.598916655 1.099972952 0.000000000 +90 25 1.14507334880469 1.537788893 1.183928908 0.000000000 +90 30 1.12475868861964 1.474069597 1.262379344 0.000000000 +90 35 1.10838277405839 1.407934015 1.335742242 0.000000000 +90 40 1.09584322306540 1.339464612 1.404394446 0.000000000 +90 45 1.08705603752174 1.268664696 1.468664696 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 1.16693963428989 1.173732912 1.373732912 0.6737329120 +40 45 1.17294464250169 1.098522692 1.413291568 0.7132915680 +35 45 1.18126491662455 1.024142135 1.448552545 0.7485525452 +30 45 1.19160330603875 0.9503837156 1.480087478 0.7800874783 +25 45 1.20375286360918 0.8769499284 1.508371730 0.8083717301 +20 45 1.21758432698556 0.8034750637 1.533790885 0.8337908848 +15 45 1.23303568226059 0.7295379620 1.556647336 0.8566473363 +10 45 1.25010731362718 0.6546683150 1.577167603 0.8771676031 +5 45 1.26885517057780 0.5783464591 1.595504125 0.8955041251 +0 45 1.28938777120709 0.5000000000 1.611734837 0.9117348366 +-5 45 1.31187028376530 0.4189975390 1.625862366 0.9258623663 +-10 45 1.33652286203634 0.3346400050 1.637803133 0.9378031331 +-15 45 1.36362504287016 0.2461519421 1.647373849 0.9473738494 +-20 45 1.39352298728859 0.1526733567 1.654272110 0.9542721098 +-25 45 1.42663019224091 0.05325701391 1.658043425 0.9580434254 +-30 45 1.46343730861343 -0.05312731113 1.658044606 0.9580446059 +-35 45 1.50450603842172 -0.1675682955 1.653386331 0.9533863305 +-40 45 1.55046655184095 -0.2911621574 1.642870343 0.9428703434 +-45 45 1.60198655364727 -0.4249073680 1.624907368 0.9249073680 + +45 50 1.14720712942913 1.197640061 1.397640061 0.5853895180 +40 50 1.15104258832587 1.122387378 1.441732394 0.6223873779 +35 50 1.15759328582346 1.047175928 1.481448210 0.6557129052 +30 50 1.16658194095778 0.9718611011 1.517287401 0.6857855569 +25 50 1.17780656734250 0.8962076158 1.549669974 0.7129577619 +20 50 1.19113516815643 0.8199072310 1.578937893 0.7375164622 +15 50 1.20649837884394 0.7425893777 1.605355883 0.7596837875 +10 50 1.22388769514764 0.6638280072 1.629114799 0.7796198850 +5 50 1.24335151098264 0.5831431544 1.650330603 0.7974220588 +0 50 1.26499087980725 0.5000000000 1.669039234 0.8131204639 +-5 50 1.28896430052937 0.4138067096 1.685193817 0.8266757689 +-10 50 1.31548373349677 0.3239110668 1.698649965 0.8379668176 +-15 50 1.34481780080224 0.2295988796 1.709150720 0.8467779969 +-20 50 1.37729471384365 0.1300952655 1.716304905 0.8527810713 +-25 50 1.41329828303151 0.02457427330 1.719553761 0.8555071849 +-30 50 1.45327151976112 -0.08782180267 1.718137228 0.8543185725 +-35 50 1.49770020825042 -0.2079390584 1.711041755 0.8483647639 +-40 50 1.54710177097302 -0.3365429953 1.696953120 0.8365429953 +-45 50 1.60198379527015 -0.4741990302 1.674199030 0.8174500470 + +45 55 1.13119338456498 1.216822852 1.416822852 0.5019247649 +40 55 1.13301094255171 1.141788360 1.464853584 0.5355562451 +35 55 1.13784905296162 1.066128618 1.508515457 0.5661286176 +30 55 1.14546862702065 0.9897279943 1.548233768 0.5939396786 +25 55 1.15569096817490 0.9123862983 1.584365271 0.6192392291 +20 55 1.16839796832388 0.8338326845 1.617197763 0.6422287874 +15 55 1.18352718109750 0.7537336278 1.646946791 0.6630592811 +10 55 1.20107204002085 0.6716993771 1.673755556 0.6818309807 +5 55 1.22107978876985 0.5872866672 1.697691171 0.6985908787 +0 55 1.24364747234497 0.5000000000 1.718736369 0.7133268853 +-5 55 1.26892666700460 0.4092930858 1.736784773 0.7259645139 +-10 55 1.29711772463398 0.3145704021 1.751623507 0.7363547072 +-15 55 1.32847197221796 0.2151919970 1.762917938 0.7442631525 +-20 55 1.36328963642109 0.1104831988 1.770188616 0.7493541360 +-25 55 1.40191320587142 -0.0002460116758 1.772781034 0.7511693669 +-30 55 1.44472321616639 -0.1176698220 1.769835514 0.7491068916 +-35 55 1.49211825808320 -0.2423927142 1.760246675 0.7423927142 +-40 55 1.54449300668951 -0.3748703096 1.742629835 0.7300572697 +-45 55 1.60220104016834 -0.5152944099 1.715294410 0.7109167993 + +45 60 1.11831355262302 1.232108072 1.432108072 0.4226827926 +40 60 1.11832753471182 1.157418776 1.483481188 0.4523430746 +35 60 1.12158708086487 1.081556801 1.530549186 0.4795177961 +30 60 1.12790023599697 1.004412320 1.573667766 0.5044123199 +25 60 1.13712246319089 0.9257995793 1.613130145 0.5271959348 +20 60 1.14916053667033 0.8454682003 1.649166079 0.5480012914 +15 60 1.16396940007742 0.7631090258 1.681936252 0.5669211596 +10 60 1.18155257481158 0.6783598348 1.711528889 0.5840064761 +5 60 1.20196249252169 0.5908092977 1.737955022 0.5992636116 +0 60 1.22529580023705 0.5000000000 1.761137290 0.6126479001 +-5 60 1.25169830900496 0.4054331187 1.780904400 0.6240604461 +-10 60 1.28135693272559 0.3065743195 1.796971545 0.6333368170 +-15 60 1.31450133693115 0.2028640390 1.808926503 0.6402390150 +-20 60 1.35139691947692 0.09373416792 1.816206200 0.6444419500 +-25 60 1.39233748933514 -0.02136575998 1.818072480 0.6455194475 +-30 60 1.43763262645933 -0.1429288559 1.813585444 0.6429288559 +-35 60 1.48759034360841 -0.2713340284 1.801579155 0.6359970218 +-40 60 1.54248527980171 -0.4067636739 1.780638866 0.6239071402 +-45 60 1.60252964381154 -0.5491019137 1.749101914 0.6056992723 + +45 65 1.10810101627038 1.244137408 1.444137408 0.3469969720 +40 65 1.10656406359769 1.169832772 1.498275613 0.3722420316 +35 65 1.10843193309812 1.093917020 1.548201408 0.3955228123 +30 65 1.11356144672394 1.016272510 1.594210217 0.4169770723 +25 65 1.12184712830714 0.9367144682 1.636537199 0.4367144682 +20 65 1.13322715071003 0.8550007575 1.675356565 0.4548162357 +15 65 1.14767983354544 0.7708359958 1.710773697 0.4713315155 +10 65 1.16522470252468 0.6838773605 1.742820332 0.4862751068 +5 65 1.18592403414326 0.5937396650 1.771449274 0.4996250019 +0 65 1.20987704188518 0.5000000000 1.796520984 0.5113161324 +-5 65 1.23722473835553 0.4022053443 1.817798029 0.5212377813 +-10 65 1.26813994919036 0.2998821806 1.834924551 0.5292240096 +-15 65 1.30282858652110 0.1925511216 1.847414835 0.5350483246 +-20 65 1.34151811252387 0.07974890928 1.854630382 0.5384129896 +-25 65 1.38445081196332 -0.03894125577 1.855763253 0.5389412558 +-30 65 1.43186438345068 -0.1638450180 1.849813300 0.5361667471 +-35 65 1.48397882691386 -0.2951415474 1.835579816 0.5295295646 +-40 65 1.54095906806081 -0.4327836665 1.811648286 0.5183701088 +-45 65 1.60289324871027 -0.5764116355 1.776411636 0.5019389890 + +45 70 1.10018906755735 1.253399658 1.453399658 0.2742150502 +40 70 1.09737405100246 1.179462289 1.509751624 0.2947254882 +35 70 1.09807301883837 1.103573545 1.561992355 0.3137395593 +30 70 1.10218715009343 1.025601047 1.610367719 0.3313467518 +25 70 1.10964947671306 0.9453534295 1.655063512 0.3476146901 +20 70 1.12043035880663 0.8625887172 1.696204313 0.3625887172 +15 70 1.13453381477353 0.7770178566 1.733844715 0.3762887033 +10 70 1.15199817400381 0.6883107605 1.767963392 0.3887068861 +5 70 1.17289816945047 0.5961026075 1.798457830 0.3998059537 +0 70 1.19733779371716 0.5000000000 1.825129489 0.4095136438 +-5 70 1.22545443344913 0.3995911414 1.847678505 0.4177208143 +-10 70 1.25740759790568 0.2944585449 1.865683518 0.4242741030 +-15 70 1.29337971282752 0.1841969176 1.878593149 0.4289728245 +-20 70 1.33356100159948 0.06843888685 1.885704414 0.4315611132 +-25 70 1.37814388950367 -0.05311260034 1.886153799 0.4317246762 +-30 70 1.42729921524243 -0.1806375508 1.878898820 0.4290840796 +-35 70 1.48116732375074 -0.3141475080 1.862723141 0.4231966139 +-40 70 1.53981920004446 -0.4534115348 1.836231622 0.4135544896 +-45 70 1.60324064208315 -0.5978848888 1.797884889 0.3995974202 + +45 75 1.09430020041645 1.260261333 1.460261333 0.2037114103 +40 75 1.09048848142421 1.186636994 1.518302104 0.2192633880 +35 75 1.09026228609492 1.110808555 1.572325021 0.2337387848 +30 75 1.09355989862004 1.032627615 1.622538091 0.2471933365 +25 75 1.10034821624205 0.9518932695 1.669088244 0.2596664123 +20 75 1.11062655551539 0.8683594274 1.712059209 0.2711804478 +15 75 1.12442315776107 0.7817386228 1.751462855 0.2817386228 +10 75 1.14179479466560 0.6917083941 1.787232330 0.2913230249 +5 75 1.16282889166424 0.5979188090 1.819217108 0.2998933202 +0 75 1.18763449345063 0.5000000000 1.847166829 0.3073824255 +-5 75 1.21634674577784 0.3975745912 1.870727780 0.3136955632 +-10 75 1.24911371489291 0.2902726607 1.889422847 0.3187048912 +-15 75 1.28609681360324 0.1777519722 1.902646012 0.3222480278 +-20 75 1.32745324814720 0.05972606993 1.909642681 0.3241227796 +-25 75 1.37333160823393 -0.06400265062 1.909507587 0.3240865813 +-30 75 1.42384569667992 -0.1934961120 1.901170501 0.3218526657 +-35 75 1.47906916731738 -0.3286337267 1.883411605 0.3170941839 +-40 75 1.53899803781958 -0.4690455278 1.854863489 0.3094447393 +-45 75 1.60353919242030 -0.6140533868 1.814053387 0.2985097053 + +45 80 1.09023172391427 1.264987084 1.464987084 0.1348878627 +40 80 1.08570820001218 1.191599160 1.524215784 0.1453314806 +35 80 1.08481401238574 1.115833004 1.579500677 0.1550796988 +30 80 1.08751517698953 1.037526573 1.631023335 0.1641645336 +25 80 1.09380465990709 0.9564698780 1.678902812 0.1726069773 +20 80 1.10370460606955 0.8724116845 1.723192694 0.1804164784 +15 80 1.11726286549496 0.7850638303 1.763872698 0.1875894607 +10 80 1.13455154868287 0.6941080076 1.800841214 0.1941080076 +5 80 1.15566893309567 0.5992043348 1.833910736 0.1999390564 +0 80 1.18072879842385 0.5000000000 1.862790875 0.2050314042 +-5 80 1.20986491098574 0.3961434021 1.887086346 0.2093153513 +-10 80 1.24321652457709 0.2873007332 1.906277485 0.2126992668 +-15 80 1.28092849602266 0.1731777322 1.919717308 0.2150690703 +-20 80 1.32313216938064 0.05354913141 1.926613680 0.2162850868 +-25 80 1.36994201882773 -0.07170835806 1.926032530 0.2161826143 +-30 80 1.42142844402000 -0.2025700204 1.916886971 0.2145700055 +-35 80 1.47761480657120 -0.3388202532 1.897959473 0.2112325768 +-40 80 1.53844314852842 -0.4799925886 1.867909688 0.2059339891 +-45 80 1.60376468354968 -0.6253197290 1.825319729 0.1984242302 + +45 85 1.08784370806429 1.267753918 1.467753918 0.06716976417 +40 85 1.08289356930620 1.194512543 1.527687818 0.07241330102 +35 85 1.08159623635735 1.118791067 1.583725229 0.07731593918 +30 85 1.08393478949973 1.040418425 1.636032169 0.08189220347 +25 85 1.08991853088605 0.9591782715 1.684710981 0.08615104768 +20 85 1.09958415166052 0.8748153948 1.729796834 0.09009554868 +15 85 1.11299219724419 0.7870404475 1.771249534 0.09372219002 +10 85 1.13022488605739 0.6955370529 1.808945733 0.09702018010 +5 85 1.15138756059010 0.5999710601 1.842674446 0.09997106010 +0 85 1.17659723096132 0.5000000000 1.872119923 0.1025472056 +-5 85 1.20598709119278 0.3952882486 1.896860795 0.1047117514 +-10 85 1.23969088780984 0.2855245397 1.916350779 0.1064169040 +-15 85 1.27784291792894 0.1704445872 1.929917544 0.1076038422 +-20 85 1.32055807945256 0.04986119332 1.936746207 0.1082012728 +-25 85 1.36792923877208 -0.07630305895 1.935885898 0.1081260055 +-30 85 1.41999971073807 -0.2079706401 1.926241119 0.1072821966 +-35 85 1.47676146432043 -0.3448686961 1.906597544 0.1055636066 +-40 85 1.53812421128985 -0.4864741905 1.875634161 0.1028546615 +-45 85 1.60390589399962 -0.6319687051 1.831968705 0.09903442916 + +45 90 1.08705603814422 1.268664696 1.468664696 0.000000000 +40 90 1.08196371225957 1.195472868 1.528832289 0.000000000 +35 90 1.08053153814965 1.119767429 1.585119618 0.000000000 +30 90 1.08274835056561 1.041374175 1.637687577 0.000000000 +25 90 1.08862900840503 0.9600744992 1.686632948 0.000000000 +20 90 1.09821519328227 0.8756117178 1.731984713 0.000000000 +15 90 1.11157183911784 0.7876959620 1.773695947 0.000000000 +10 90 1.12878468748629 0.6960114040 1.811635912 0.000000000 +5 90 1.14996154336154 0.6002257524 1.845585593 0.000000000 +0 90 1.17522060421256 0.5000000000 1.875220604 0.000000000 +-5 90 1.20469488063916 0.3950039229 1.900110653 0.000000000 +-10 90 1.23851624490636 0.2849339111 1.919700400 0.000000000 +-15 90 1.27681537128337 0.1695358648 1.933308943 0.000000000 +-20 90 1.31970151993428 0.04863549700 1.940113780 0.000000000 +-25 90 1.36726016538933 -0.07782911444 1.939158535 0.000000000 +-30 90 1.41952541469202 -0.2097627073 1.929345070 0.000000000 +-35 90 1.47647859982301 -0.3468733336 1.909460463 0.000000000 +-40 90 1.53801865651334 -0.4886193359 1.878190645 0.000000000 +-45 90 1.60395247812207 -0.6341656740 1.834165674 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 1.60395247156693 -0.6341656693 1.834165669 1.388952357e-16 +-90 40 1.67398984958649 -0.7823506221 1.776019934 1.570426585e-16 +-90 35 1.74771984593029 -0.9316482846 1.702450921 1.753263489e-16 +-90 30 1.82461328788928 -1.080161459 1.612306644 1.935139673e-16 +-90 25 1.90403646152207 -1.225643072 1.504680580 2.113303264e-16 +-90 20 1.98523512177311 -1.365510794 1.378990401 2.284591823e-16 +-90 15 2.06736771526447 -1.496923869 1.235074138 2.445526424e-16 +-90 10 2.14952095887418 -1.616864906 1.073260397 2.592411831e-16 +-90 5 2.23071877625896 -1.722230218 0.8944199518 2.721447123e-16 +-90 -2.84217e-14 2.30997215495502 -1.809972155 0.7000000000 2.828900006e-16 +-90 -5 2.38627996621973 -1.877199451 0.4920219971 2.911229698e-16 +-90 -10 2.45864640233129 -1.921294039 0.2730605327 2.965229995e-16 +-90 -15 2.52611988796076 -1.940044440 0.04619206278 2.988192613e-16 +-90 -20 2.58780902478159 -1.931745045 -0.1850828136 2.978028785e-16 +-90 -25 2.64289569553174 -1.895276949 -0.4169359848 2.933368249e-16 +-90 -30 2.69064459397466 -1.830166571 -0.6453222970 2.853631033e-16 +-90 -35 2.73041511959075 -1.736625127 -0.8661017741 2.739075803e-16 +-90 -40 2.76167674476992 -1.615567124 -1.075171593 2.590822507e-16 +-90 -45 2.78401358659058 -1.468594886 -1.268594886 2.410833426e-16 + +-85 45 1.60390588368679 -0.6319686978 1.831968698 0.09903442853 +-85 40 1.67375697729749 -0.7793023246 1.773462109 0.1119244506 +-85 35 1.74722932985302 -0.9275850702 1.699605828 0.1248975099 +-85 30 1.82379381835871 -1.074937625 1.609290662 0.1377891880 +-85 25 1.90282226187501 -1.219146820 1.501651327 0.1504058577 +-85 20 1.98357060437900 -1.357679310 1.376139973 0.1625258801 +-85 15 2.06521643614693 -1.487760696 1.232618873 0.1739065267 +-85 10 2.14686770313679 -1.606447848 1.071423589 0.1842903070 +-85 5 2.22757448701113 -1.710717337 0.8934127053 0.1934127053 +-85 -2.84217e-14 2.30637503664376 -1.797598583 0.7000000000 0.2010138294 +-85 -5 2.38229588950313 -1.864267887 0.4931533623 0.2068466377 +-85 -10 2.45436588215241 -1.908156647 0.2753770093 0.2106864066 +-85 -15 2.52165210099372 -1.927077786 0.04966646733 0.2123417918 +-85 -20 2.58327538609342 -1.919322622 -0.1805614215 0.2116633028 +-85 -25 2.63842260275593 -1.883741202 -0.4115567777 0.2085503320 +-85 -30 2.68635691766208 -1.819804214 -0.6393395872 0.2029565703 +-85 -35 2.72642757296713 -1.727645353 -0.8598140690 0.1948937148 +-85 -40 2.75808471216306 -1.608086318 -1.068894452 0.1844336546 +-85 -45 2.78088879410782 -1.462633281 -1.262633281 0.1717081628 + +-80 45 1.60376465297578 -0.6253197076 1.825319708 0.1984242264 +-80 40 1.67305460275400 -0.7701000237 1.765740461 0.2239529024 +-80 35 1.74575412029359 -0.9153503849 1.691039009 0.2495644600 +-80 30 1.82133566948416 -1.059248132 1.600232329 0.2749375153 +-80 25 1.89918824302467 -1.199682567 1.492574997 0.2996998952 +-80 20 1.97859966599592 -1.334266806 1.367618519 0.3234307277 +-80 15 2.05880328945330 -1.460420128 1.225292990 0.3456749622 +-80 10 2.13896799767441 -1.575413965 1.065951478 0.3659514782 +-80 5 2.21822303069572 -1.676459743 0.8904155541 0.3837685751 +-80 -2.84217e-14 2.29568184937378 -1.760805284 0.7000000000 0.3986409696 +-80 -5 2.37044945909305 -1.825820149 0.4965171036 0.4101048445 +-80 -10 2.44162888117677 -1.869082045 0.2822669160 0.4177330840 +-80 -15 2.50834324858061 -1.888478112 0.06000921881 0.4211531339 +-80 -20 2.56975109591197 -1.882295527 -0.1670846612 0.4200629775 +-80 -25 2.62505601479861 -1.849299477 -0.3954963374 0.4142448835 +-80 -30 2.67351767231620 -1.788802392 -0.6214406771 0.4035776152 +-80 -35 2.71445734657916 -1.700715556 -0.8409576221 0.3880455295 +-80 -40 2.74727268301375 -1.585593079 -1.050020383 0.3677463306 +-80 -45 2.77145656573068 -1.444658580 -1.244658580 0.3428957759 + +-75 45 1.60353913504659 -0.6140533470 1.814053347 0.2985096946 +-75 40 1.67188995924794 -0.7545855319 1.752722257 0.3361651801 +-75 35 1.74330501096349 -0.8948281979 1.676669219 0.3737430892 +-75 30 1.81726316959220 -1.033061424 1.585113426 0.4107825706 +-75 25 1.89318250677760 -1.167345740 1.477496087 0.4467639445 +-75 20 1.97041016171476 -1.295537609 1.353522244 0.4811128523 +-75 15 2.04826479375346 -1.415359295 1.213218976 0.5132189764 +-75 10 2.12601321080307 -1.524418318 1.056959570 0.5424412534 +-75 5 2.20290818673951 -1.620288331 0.8855011924 0.5681295460 +-75 -2.84217e-14 2.27818036761524 -1.700553254 0.7000000000 0.5896364673 +-75 -5 2.35105518219216 -1.762879088 0.5020237329 0.6063366241 +-75 -10 2.42074964034820 -1.805070302 0.2935539133 0.6176417260 +-75 -15 2.48648010499575 -1.825140185 0.07698056513 0.6230194349 +-75 -20 2.54747047749718 -1.821384217 -0.1449147572 0.6220130262 +-75 -25 2.60295867171483 -1.792453071 -0.3689884231 0.6142609491 +-75 -30 2.65220321607218 -1.737425216 -0.5917780508 0.5995162798 +-75 -35 2.69448911551517 -1.655875979 -0.8095606120 0.5776652276 +-75 -40 2.72914464259484 -1.547949008 -1.018433257 0.5487462828 +-75 -45 2.75555825447672 -1.414414703 -1.214414703 0.5129658735 + +-70 45 1.60324050455904 -0.5978847946 1.797884795 0.3995973859 +-70 40 1.67026765031888 -0.7324894514 1.734181444 0.4485894744 +-70 35 1.73989529541808 -0.8658257849 1.656361510 0.4971199309 +-70 30 1.81161832413668 -0.9963328510 1.563908174 0.5446206183 +-70 25 1.88489426819081 -1.122308465 1.456494861 0.5904719919 +-70 20 1.95915639453600 -1.241937850 1.334013527 0.6340135273 +-70 15 2.03383052832674 -1.353329461 1.196598133 0.6745567583 +-70 10 2.10832003852441 -1.454524470 1.044635398 0.7113887291 +-70 5 2.18202383529373 -1.543537307 0.8787863479 0.7437867525 +-70 -2.84217e-14 2.25433116900093 -1.618378364 0.7000000000 0.7710266695 +-70 -5 2.32461468477387 -1.677078342 0.5095303255 0.7923917141 +-70 -10 2.39223411221485 -1.717727871 0.3089547405 0.8071869326 +-70 -15 2.45652926956638 -1.738513979 0.1001919871 0.8147524573 +-70 -20 2.51681926137169 -1.737770678 -0.1144819178 0.8144819178 +-70 -25 2.57240002982599 -1.714037367 -0.3324225797 0.8058436992 +-70 -30 2.62254510262389 -1.666129774 -0.5506156078 0.7884067611 +-70 -35 2.66651199797753 -1.593224145 -0.7656913257 0.7618712825 +-70 -40 2.70355631657196 -1.494952510 -0.9739639154 0.7261033324 +-70 -45 2.73294245331946 -1.371494611 -1.171494611 0.6811683319 + +-65 45 1.60289306042603 -0.5764115091 1.776411509 0.5019389300 +-65 40 1.66820583382280 -0.7034441367 1.709809531 0.5611752171 +-65 35 1.73555143993863 -0.8280898279 1.629938509 0.6192984575 +-65 30 1.80445585324415 -0.9490110674 1.536586930 0.6756849575 +-65 25 1.87444069553200 -1.064815201 1.429685312 0.7296853117 +-65 20 1.94504527206302 -1.174079794 1.309315215 0.7806362285 +-65 15 2.01581473081066 -1.275349229 1.175703392 0.8278589414 +-65 10 2.08631332002623 -1.367150554 1.029229020 0.8706666021 +-65 5 2.15610112518753 -1.447977205 0.8704259223 0.9083566888 +-65 -2.84217e-14 2.22474319417020 -1.516302081 0.7000000000 0.9402171015 +-65 -5 2.29178565016132 -1.570564388 0.5188490890 0.9655200307 +-65 -10 2.35674748002679 -1.609176182 0.3280953321 0.9835250059 +-65 -15 2.41911236123864 -1.630537693 0.1291241458 0.9934860421 +-65 -20 2.47832105901936 -1.633064597 -0.07637202098 0.9946643568 +-65 -25 2.53375769853679 -1.615224329 -0.2863453032 0.9863453032 +-65 -30 2.58474339757453 -1.575596243 -0.4983460496 0.9678664233 +-65 -35 2.63053558148218 -1.512955345 -0.7094865067 0.9386564929 +-65 -40 2.67032990106517 -1.426376708 -0.9164219853 0.8982842115 +-65 -45 2.70327337037089 -1.315364131 -1.115364131 0.8465181967 + +-60 45 1.60252929805978 -0.5491016874 1.749101687 0.6056991416 +-60 40 1.66572797859798 -0.6669805977 1.679212989 0.6737565622 +-60 35 1.73031536149228 -0.7813200505 1.597189958 0.7397704761 +-60 30 1.79586252451554 -0.8910691299 1.503134137 0.8031341366 +-60 25 1.86198029189984 -0.9952042442 1.397225190 0.8632565729 +-60 20 1.92832681495485 -1.092729949 1.279706293 0.9195630647 +-60 15 1.99459370977585 -1.182659245 1.150867186 0.9714837682 +-60 10 2.06049641482934 -1.263993996 1.011039735 1.018442409 +-60 5 2.12576853506630 -1.335707970 0.8606036369 1.059846491 +-60 -2.84217e-14 2.19014927705307 -1.396724912 0.7000000000 1.095074639 +-60 -5 2.25335876105834 -1.445888543 0.5297568120 1.123459274 +-60 -10 2.31508948454940 -1.481951496 0.3505284768 1.144280230 +-60 -15 2.37498623115008 -1.503562189 0.1631471295 1.156757169 +-60 -20 2.43263303152522 -1.509269100 -0.03131414497 1.160052056 +-60 -25 2.48753428099068 -1.497535544 -0.2314661214 1.153277684 +-60 -30 2.53909769963730 -1.466776621 -0.4355190116 1.135519012 +-60 -35 2.58662097316798 -1.415425008 -0.6411950298 1.105871144 +-60 -40 2.62928285864844 -1.342030705 -0.8456472848 1.063496923 +-60 -45 2.66614625783155 -1.245402434 -1.045402434 1.007708565 + +-55 45 1.60220061700487 -0.5152941418 1.715294142 0.7109166116 +-55 40 1.66287985690636 -0.6225483978 1.641929947 0.7860168502 +-55 35 1.72424644550869 -0.7251887884 1.557886425 0.8578864254 +-55 30 1.78594831067641 -0.8225169415 1.463555512 0.9260363318 +-55 25 1.84770829621645 -0.9139152183 1.359319494 0.9900340943 +-55 20 1.90931004441592 -0.9988171397 1.245524825 1.049483060 +-55 15 1.97059182250665 -1.076681661 1.122470578 1.104004385 +-55 10 2.03142960025941 -1.146958545 0.9904032277 1.153212789 +-55 5 2.09171266818496 -1.209047419 0.8495222746 1.196687886 +-55 -2.84217e-14 2.15134223808622 -1.262276392 0.7000000000 1.233959214 +-55 -5 2.21020904452404 -1.305865653 0.5420072275 1.264480743 +-55 -10 2.26816943632064 -1.338892687 0.3757536047 1.287606521 +-55 -15 2.32503372834532 -1.360272634 0.2015414499 1.302576922 +-55 -20 2.38054729386051 -1.368740541 0.01983406742 1.308506214 +-55 -25 2.43436329767199 -1.362839129 -0.1686561518 1.304374001 +-55 -30 2.48601822497151 -1.340927422 -0.3628599426 1.289031258 +-55 -35 2.53490700067547 -1.301215624 -0.5612247577 1.261224758 +-55 -40 2.58025750890318 -1.241835960 -0.7615739120 1.219646670 +-55 -45 2.62110857440737 -1.160963148 -0.9609631480 1.163018917 + +-50 45 1.60198326824972 -0.4741987097 1.674198710 0.8174497780 +-50 40 1.65972638884227 -0.5695284776 1.597440951 0.8974409511 +-50 35 1.71743508012384 -0.6593766017 1.511804236 0.9728324789 +-50 30 1.77486168044912 -0.7434378070 1.417899153 1.043368205 +-50 25 1.83185331461676 -0.8214994733 1.316225325 1.108869721 +-50 20 1.88833566720882 -0.8934017043 1.207156745 1.169202856 +-50 15 1.94428233141438 -0.9589886550 1.090934832 1.224236842 +-50 10 1.99970863557485 -1.018079554 0.9676783843 1.273819994 +-50 5 2.05465035111415 -1.070430478 0.8373948637 1.317747635 +-50 -2.84217e-14 2.10915119651635 -1.115703554 0.7000000000 1.355736256 +-50 -5 2.16324468171064 -1.153432361 0.5553434125 1.387394484 +-50 -10 2.21693748401672 -1.182988915 0.4032436460 1.412195378 +-50 -15 2.27019984160803 -1.203557019 0.2435332724 1.429454067 +-50 -20 2.32294115928392 -1.214096824 0.07611977732 1.438298013 +-50 -25 2.37498295415303 -1.213313341 -0.09893113184 1.437640593 +-50 -30 2.42603024432043 -1.199635391 -0.2812849507 1.426163430 +-50 -35 2.47563486768967 -1.171209103 -0.4701932120 1.402310942 +-50 -40 2.52315477445500 -1.125922142 -0.6643106694 1.364310669 +-50 -45 2.56770707484740 -1.061475060 -0.8614750596 1.310233147 + +-45 45 1.60198621423504 -0.4249071720 1.624907172 0.9249071720 +-45 40 1.65636844694149 -0.5072714465 1.545201099 1.007271446 +-45 35 1.71000390334314 -0.5836077124 1.458750289 1.083607712 +-45 30 1.76278197822172 -0.6540116927 1.366268961 1.154011693 +-45 25 1.81468786248247 -0.7186408119 1.268261543 1.218640812 +-45 20 1.86577544393726 -0.7776663790 1.165032531 1.277666379 +-45 15 1.91614858960966 -0.8312376997 1.056704067 1.331237700 +-45 10 1.96594344197453 -0.8794510904 0.9432344458 1.379451090 +-45 5 2.01530938494749 -0.9223198277 0.8244368608 1.422319828 +-45 -2.84217e-14 2.06440229560350 -0.9597528623 0.7000000000 1.459752862 +-45 -5 2.11337352755706 -0.9915293374 0.5695080917 1.491529337 +-45 -10 2.16235694420560 -1.017269307 0.4324644841 1.517269307 +-45 -15 2.21146358700772 -1.036406787 0.2883210421 1.536406787 +-45 -20 2.26075644765709 -1.048145847 0.1365209935 1.548145847 +-45 -25 2.31023112417075 -1.051419388 -0.02343874158 1.551419388 +-45 -30 2.35978897451698 -1.044844514 -0.1919163962 1.544844514 +-45 -35 2.40919435071674 -1.026675801 -0.3689899044 1.526675801 +-45 -40 2.45801651300392 -0.9947699910 -0.5542609482 1.494769991 +-45 -45 2.50556118651492 -0.9465864255 -0.7465864255 1.446586426 + + +### -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 2.78401360781578 -1.468594901 -1.268594901 2.410833444e-16 +-40 -90 2.79712315259903 -1.297956105 -1.442720648 2.624075983e-16 +-35 -90 2.80082960010063 -1.106489861 -1.594305293 2.809713633e-16 +-30 -90 2.79508760102431 -0.8975438005 -1.720616868 2.964400700e-16 +-25 -90 2.77998455748144 -0.6748722413 -1.819521652 3.085524127e-16 +-20 -90 2.75572350475900 -0.4425129481 -1.889533042 3.171263352e-16 +-15 -90 2.72261896164349 -0.2046656398 -1.929847970 3.220634899e-16 +-10 -90 2.68110814977330 0.03443045566 -1.940376093 3.233528130e-16 +-5 -90 2.63174204117358 0.2706285677 -1.921727468 3.210690152e-16 +-2.84217e-14 -90 2.57517970331037 0.5000000000 -1.875179703 3.153685581e-16 +5 -90 2.51217596407284 0.7189505621 -1.802616376 3.064821134e-16 +10 -90 2.44356989928215 0.9243214600 -1.706446582 2.947047104e-16 +15 -90 2.37027018718429 1.113471066 -1.589505189 2.803835201e-16 +20 -90 2.29324336274297 1.284335424 -1.454943866 2.639045107e-16 +25 -90 2.21348230423406 1.435458044 -1.306096249 2.456759350e-16 +30 -90 2.13198475302918 1.565992377 -1.146352957 2.261130238e-16 +35 -90 2.04974970462897 1.675688131 -0.9790566608 2.056251365e-16 +40 -90 1.96773599531957 1.764836317 -0.8073732247 1.845999795e-16 +45 -90 1.88684432460816 1.834200417 -0.6342004170 1.633924270e-16 + +-45 -85 2.78088882732389 -1.462633305 -1.262633305 0.1717081648 +-40 -85 2.79341390230613 -1.291552787 -1.435089471 0.1867961243 +-35 -85 2.79657440317549 -1.099945710 -1.584959277 0.1999080333 +-30 -85 2.79035867204469 -0.8911918433 -1.709614956 0.2108139921 +-25 -85 2.77487763408015 -0.6690447308 -1.807024516 0.2193362243 +-20 -85 2.75035610939322 -0.4375142497 -1.875799231 0.2253532323 +-15 -85 2.71712347961627 -0.2007455590 -1.915218029 0.2288019302 +-10 -85 2.67562294744134 0.03709794204 -1.925248026 0.2296794412 +-5 -85 2.62640430660322 0.2719582599 -1.906529016 0.2280417401 +-2.84217e-14 -85 2.57011722406724 0.5000000000 -1.860337152 0.2240004756 +5 -85 2.50749980254477 0.7177176670 -1.788524321 0.2177176670 +10 -85 2.43936837594200 0.9220283140 -1.693441504 0.2093989985 +15 -85 2.36660421166237 1.110346715 -1.577844952 0.1992856106 +20 -85 2.29014459631824 1.280641891 -1.444795967 0.1876453327 +25 -85 2.21095282805009 1.431465490 -1.297534188 0.1747615965 +30 -85 2.12999876899308 1.561955563 -1.139360990 0.1609232348 +35 -85 2.04826022279157 1.671828346 -0.9735443161 0.1464161556 +40 -85 1.96667913779732 1.761327399 -0.8031914589 0.1315122118 +45 -85 1.88614540496969 1.831161373 -0.6311613728 0.1164615294 + +-45 -80 2.77145663415911 -1.444658628 -1.244658628 0.3428957843 +-40 -80 2.78224865235155 -1.272300173 -1.412145099 0.3724281681 +-35 -80 2.78380185063876 -1.080323480 -1.556935828 0.3979586802 +-30 -80 2.77619681269660 -0.8721919380 -1.676706154 0.4190774202 +-25 -80 2.75961563832895 -0.6516511676 -1.769723899 0.4354789583 +-20 -80 2.73434338045161 -0.4226213416 -1.834881303 0.4469679666 +-15 -80 2.70075125638375 -0.1890826873 -1.871691600 0.4534586151 +-10 -80 2.65929873399781 0.04502624458 -1.880284388 0.4549737554 +-5 -80 2.61052998299797 0.2759082354 -1.861380590 0.4516405059 +-2.84217e-14 -80 2.55506571980872 0.5000000000 -1.816248530 0.4436825061 +5 -80 2.49359501432852 0.7140538935 -1.746647198 0.4314099133 +10 -80 2.42686642194322 0.9152074063 -1.654758215 0.4152074063 +15 -80 2.35568400692908 1.101040567 -1.543113933 0.3955215071 +20 -80 2.28089767810927 1.269619826 -1.414513093 0.3728457093 +25 -80 2.20338806758427 1.419524591 -1.271926849 0.3477039074 +30 -80 2.12404496789340 1.549852578 -1.118398006 0.3206326300 +35 -80 2.04378310223917 1.660225691 -0.9569740073 0.2921692238 +40 -80 1.96349323189085 1.750750681 -0.7905866170 0.2628306377 +45 -80 1.88403261255862 1.821976404 -0.6219764039 0.2331001079 + +-45 -75 2.75555831725409 -1.414414746 -1.214414746 0.5129658852 +-40 -75 2.76352523644551 -1.240081342 -1.373748191 0.5556591531 +-35 -75 2.76249625543549 -1.047660933 -1.510288876 0.5922451195 +-30 -75 2.75268425514967 -0.8407181923 -1.622192028 0.6222294785 +-25 -75 2.73438251706869 -0.6229618383 -1.708199434 0.6452750935 +-20 -75 2.70796385641732 -0.3981452953 -1.767633918 0.6612005156 +-15 -75 2.67385579295732 -0.1699688132 -1.800357650 0.6699688132 +-10 -75 2.63253918899355 0.05799425366 -1.806739153 0.6716787318 +-5 -75 2.58454266366069 0.2823623569 -1.787609644 0.6665529952 +-2.84217e-14 -75 2.53043743593255 0.5000000000 -1.744214871 0.6549254009 +5 -75 2.47083184935028 0.7080623500 -1.678163543 0.6372270007 +10 -75 2.40637183329300 0.9040320397 -1.591379561 0.6139733030 +15 -75 2.33774193275260 1.085751181 -1.486053168 0.5857511809 +20 -75 2.26565880367247 1.251446808 -1.364583136 0.5532033840 +25 -75 2.19087483230738 1.399752984 -1.229526501 0.5170150677 +30 -75 2.11415744568467 1.529718299 -1.083524411 0.4778939257 +35 -75 2.03631630357030 1.640825869 -0.9292681902 0.4365610958 +40 -75 1.95815600214033 1.732972538 -0.7693994518 0.3937243965 +45 -75 1.88047749874560 1.806455331 -0.6064553310 0.3500636509 + +-45 -70 2.73294244048942 -1.371494602 -1.171494602 0.6811683287 +-40 -70 2.73709455826860 -1.194729825 -1.319700358 0.7351108123 +-35 -70 2.73264579514516 -1.002042834 -1.445139479 0.7807669188 +-30 -70 2.71996601202558 -0.7970728107 -1.546596009 0.8176940758 +-25 -70 2.69948734037710 -0.5834285693 -1.623420065 0.8456557452 +-20 -70 2.67167535496735 -0.3645957619 -1.675457333 0.8645957619 +-15 -70 2.63701514093606 -0.1438770468 -1.702981853 0.8746138679 +-10 -70 2.59599878081628 0.07564645883 -1.706628523 0.8759411474 +-5 -70 2.54912332532599 0.2911349811 -1.687338090 0.8689200041 +-2.84217e-14 -70 2.49688943757724 0.5000000000 -1.646308579 0.8539864833 +5 -70 2.43980318941145 0.6999077621 -1.584956177 0.8316560349 +10 -70 2.37838243084632 0.8887810018 -1.504886628 0.8025131024 +15 -70 2.31315854541628 1.064801343 -1.407867308 0.7672009580 +20 -70 2.24469220889605 1.226417365 -1.295815306 0.7264173646 +25 -70 2.17356834465002 1.372353060 -1.170767174 0.6809035667 +30 -70 2.10040517679452 1.501622239 -1.034860607 0.6314376217 +35 -70 2.02586404061190 1.613548843 -0.8903125611 0.5788264354 +40 -70 1.95063029069381 1.707773886 -0.7393688679 0.5238874240 +45 -70 1.87542547915123 1.784274637 -0.5842746370 0.4674377405 + +-45 -65 2.70327342030370 -1.315364165 -1.115364165 0.8465182123 +-40 -65 2.70277889481716 -1.136064228 -1.249785421 0.9091998735 +-35 -65 2.69426084055936 -0.9436316038 -1.361719597 0.9613956372 +-30 -65 2.67826895912823 -0.7417066351 -1.450698980 1.002887405 +-25 -65 2.65536641084394 -0.5336853398 -1.516745365 1.033685340 +-20 -65 2.62610438207384 -0.3226674099 -1.560260132 1.053976609 +-15 -65 2.59100136606235 -0.1114391963 -1.581922147 1.064077772 +-10 -65 2.55053876706759 0.09751425167 -1.582610107 1.064398574 +-5 -65 2.50516178388364 0.3019830784 -1.563343771 1.055414533 +-2.84217e-14 -65 2.45528310629638 0.5000000000 -1.525242199 1.037647478 +5 -65 2.40128985711729 0.6898065141 -1.469498383 1.011653710 +10 -65 2.34355445766558 0.8698227535 -1.397369058 0.9780192538 +15 -65 2.28245075675954 1.038625674 -1.310178381 0.9373615731 +20 -65 2.21836467832277 1.194936704 -1.209322903 0.8903318914 +25 -65 2.15169530067690 1.337615434 -1.096272094 0.8376154338 +30 -65 2.08288789460731 1.465674381 -0.9725970912 0.7799448327 +35 -65 2.01243049583966 1.578295101 -0.8399649986 0.7180974722 +40 -65 1.94086862143166 1.674859597 -0.7001431450 0.6528974710 +45 -65 1.86881079956129 1.754986688 -0.5549866879 0.5852099034 + +-45 -60 2.66614654268403 -1.245402621 -1.045402621 1.007708673 +-40 -60 2.66039123324015 -1.063934619 -1.163824701 1.076079693 +-35 -60 2.64740796449750 -0.8727138381 -1.260438532 1.131859714 +-30 -60 2.62792329248898 -0.6752430243 -1.335580629 1.175243024 +-25 -60 2.60260225183210 -0.4745537352 -1.389937230 1.206625822 +-20 -60 2.57203906225903 -0.2732233030 -1.424413565 1.226530744 +-15 -60 2.53675479071060 -0.07341978381 -1.440031767 1.235547917 +-10 -60 2.49719042581534 0.1230396503 -1.437848378 1.234287337 +-5 -60 2.45371485598174 0.3146197371 -1.418906101 1.223351008 +-2.84217e-14 -60 2.40663544004065 0.5000000000 -1.384207429 1.203317720 +5 -60 2.35621274565719 0.6780138948 -1.334708128 1.174739286 +10 -60 2.30267954726124 0.8475981962 -1.271327330 1.138146365 +15 -60 2.24625004132904 1.007752747 -1.194959049 1.094055117 +20 -60 2.18713021189605 1.157509472 -1.106492428 1.042978890 +25 -60 2.12554195119173 1.295916797 -1.006849079 0.9854497753 +30 -60 2.06174283114482 1.422039425 -0.8970191298 0.9220394245 +35 -60 1.99604511362850 1.534974128 -0.7780962377 0.8533792607 +40 -60 1.92882815000868 1.633878762 -0.6513040882 0.7801757791 +45 -60 1.86055193664372 1.718017155 -0.5180171549 0.7032225322 + +-45 -55 2.62110837545791 -1.160963022 -0.9609630219 1.163018829 +-40 -55 2.60976028035379 -0.9782856087 -1.061752185 1.233592160 +-35 -55 2.59223720181411 -0.7897489872 -1.141952445 1.289748987 +-30 -55 2.56937966535672 -0.5984998807 -1.202657606 1.332255198 +-25 -55 2.54190355146886 -0.4070298420 -1.245131773 1.361995931 +-20 -55 2.51040203523632 -0.2172678089 -1.270677109 1.379882967 +-15 -55 2.47534716891073 -0.03068389752 -1.280539268 1.386788525 +-10 -55 2.43710366167902 0.1516035951 -1.275854197 1.383508003 +-5 -55 2.39594390811716 0.3287303087 -1.257621529 1.370741352 +-2.84217e-14 -55 2.35206328711887 0.5000000000 -1.226697450 1.349088078 +5 -55 2.30559803269372 0.6648114807 -1.183803845 1.319053653 +10 -55 2.25664383293778 0.8225987515 -1.129548434 1.281063605 +15 -55 2.20526912995460 0.9727824976 -1.064448302 1.235480002 +20 -55 2.15152134647925 1.114729028 -0.9889541224 1.182618408 +25 -55 2.09545700482405 1.247723900 -0.9034990775 1.122782142 +30 -55 2.03716362273810 1.370958865 -0.8085450052 1.056294584 +35 -55 1.97676654099432 1.483525984 -0.7046206733 0.9835259838 +40 -55 1.91446954759239 1.584441664 -0.5923872488 0.9049392939 +45 -55 1.85056628135478 1.672680303 -0.4726803026 0.8211195878 + +-45 -50 2.56770710612790 -1.061475079 -0.8614750787 1.310233163 +-40 -50 2.55079052392520 -0.8792537669 -0.9437306318 1.379253767 +-35 -50 2.52900015282710 -0.6954181331 -1.007234024 1.432539440 +-30 -50 2.50321421989013 -0.5125044599 -1.053709167 1.471536716 +-25 -50 2.47412189787073 -0.3322809243 -1.084832202 1.497652042 +-20 -50 2.44224251958582 -0.1559213955 -1.102129223 1.512165967 +-15 -50 2.40795202265298 0.01583558420 -1.106926199 1.516191107 +-10 -50 2.37150969707929 0.1825528116 -1.100332468 1.510658310 +-5 -50 2.33307806745394 0.3439866214 -1.083241077 1.496316930 +-2.84217e-14 -50 2.29273864314051 0.5000000000 -1.056339697 1.473743992 +5 -50 2.25051320519831 0.6504922504 -1.020134293 1.443364051 +10 -50 2.20637934435540 0.7953430552 -0.9749736996 1.405469814 +15 -50 2.16027883359950 0.9343650245 -0.9210723406 1.360241203 +20 -50 2.11213377768375 1.067262966 -0.8585421896 1.307772176 +25 -50 2.06186480632078 1.193599918 -0.7874298253 1.248101818 +30 -50 2.00939632914483 1.312764137 -0.7077487797 1.181241482 +35 -50 1.95469511302118 1.423953279 -0.6195420332 1.107227233 +40 -50 1.89778368661163 1.526162389 -0.5229327140 1.026162389 +45 -50 1.83877614978801 1.618197292 -0.4181972922 0.9382789354 + +-45 -45 2.50556083993246 -0.9465862254 -0.7465862254 1.446586225 +-40 -45 2.48352197489103 -0.7672757122 -0.8102803828 1.510280383 +-35 -45 2.45812280864132 -0.5907000780 -0.8576811423 1.557681142 +-30 -45 2.43016664413212 -0.4185166550 -0.8909175140 1.590917514 +-25 -45 2.40022537627650 -0.2516200468 -0.9118543920 1.611854392 +-20 -45 2.36868377660986 -0.09037919918 -0.9220535187 1.622053519 +-15 -45 2.33578235400899 0.06517825975 -0.9227768268 1.622776827 +-10 -45 2.30165230181772 0.2152303011 -0.9150092162 1.615009216 +-5 -45 2.26634073942471 0.3600630110 -0.8994871032 1.599487103 +-2.84217e-14 -45 2.22982398220042 0.5000000000 -0.8767236587 1.576723659 +5 -45 2.19202576833561 0.6353483527 -0.8470387507 1.547038751 +10 -45 2.15283120805744 0.7663569534 -0.8105853474 1.510585347 +15 -45 2.11208694418766 0.8931793213 -0.7673652035 1.467365204 +20 -45 2.06961862845065 1.015839134 -0.7172563732 1.417256373 +25 -45 2.02523921516416 1.134194776 -0.6600350851 1.360035085 +30 -45 1.97875665925983 1.247899718 -0.5954003104 1.295400310 +35 -45 1.92999275425259 1.356362115 -0.5230118477 1.223011848 +40 -45 1.87880580071091 1.458705010 -0.4425401396 1.142540140 +45 -45 1.82512844190164 1.553738397 -0.3537383972 1.053738397 + + diff --git a/test/Kerr-definition-inner-expansion-EE.par b/test/Kerr-definition-inner-expansion-EE.par new file mode 100644 index 0000000..46166d5 --- /dev/null +++ b/test/Kerr-definition-inner-expansion-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_definition[1] = "inner expansion" +AHFinderDirect::desired_value[1] = -1.4 diff --git a/test/Kerr-definition-inner-expansion-EE/BH_diagnostics.ah1.gp b/test/Kerr-definition-inner-expansion-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..a405887 --- /dev/null +++ b/test/Kerr-definition-inner-expansion-EE/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 +0 0.000 -0.000166 0.000123 0.000000 1.096168068 2.816485748 2.069385269 1.280439816 -8.704156701e-06 0.000000000 1.280436902 0.000000000 1.214502591 -1.956014605 1.956116487 -1.955945430 1.956052965 -1.916187530 1.916187530 12.89810180 11.39389063 11.77981066 0.8833773225 0.9132980065 48.93136166 0.9866400104 1.973280021 0.01891282373 -1.400000000 -0.02647795323 0.7094564119 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6881150368 0.7530830459 34.84363210 diff --git a/test/Kerr-definition-inner-expansion-EE/h.t0.ah1.gp b/test/Kerr-definition-inner-expansion-EE/h.t0.ah1.gp new file mode 100644 index 0000000..28ce321 --- /dev/null +++ b/test/Kerr-definition-inner-expansion-EE/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 2.55676174810021 -0.9761470835 -0.7761470835 1.476147084 +-40 -45 2.53801807437311 -0.7950836333 -0.8434205727 1.543420573 +-35 -45 2.51523907589980 -0.6160432858 -0.8938749940 1.593874994 +-30 -45 2.48925013185932 -0.4408481143 -0.9295967361 1.629596736 +-25 -45 2.46066165735945 -0.2705454031 -0.9524399495 1.652439950 +-20 -45 2.42990723291676 -0.1056387520 -0.9639787953 1.663978795 +-15 -45 2.39727732989969 0.05373055257 -0.9655002517 1.665500252 +-10 -45 2.36294879648645 0.2076464517 -0.9580193632 1.658019363 +-5 -45 2.32700832987679 0.3563170430 -0.9423037136 1.642303714 +0 -45 2.28946533699951 0.5000000000 -0.9188964651 1.618896465 +5 -45 2.25027311342180 0.6389448808 -0.8881472547 1.588147255 +10 -45 2.20934303390554 0.7733488243 -0.8502382175 1.550238217 +15 -45 2.16654526878822 0.9033171081 -0.8051999389 1.505199939 +20 -45 2.12172426093912 1.028826128 -0.7529378455 1.452937846 +25 -45 2.07471409892576 1.149687618 -0.6932595937 1.393259594 +30 -45 2.02534858639673 1.265509811 -0.6259018865 1.325901887 +35 -45 1.97348606448817 1.375660645 -0.5505730049 1.250573005 +40 -45 1.91902508672640 1.479227850 -0.4669983080 1.166998308 +45 -45 1.86195928331156 1.575002693 -0.3750026934 1.075002693 + +-45 -40 2.51195572380177 -1.027571526 -0.5817847037 1.527571526 +-40 -40 2.49235819573479 -0.8476584603 -0.6476584603 1.606076812 +-35 -40 2.46851763375603 -0.6668290087 -0.6982794207 1.666404523 +-30 -40 2.44120072367752 -0.4874211326 -0.7350815310 1.710263570 +-25 -40 2.41101129088195 -0.3110508651 -0.7594495069 1.739304193 +-20 -40 2.37840733129337 -0.1387769615 -0.7726410633 1.755025278 +-15 -40 2.34372299014544 0.02875004915 -0.7757486535 1.758728760 +-10 -40 2.30719078754744 0.1911624568 -0.7696869848 1.751504744 +-5 -40 2.26895944926435 0.3482742457 -0.7551945282 1.734233307 +0 -40 2.22910694879655 0.5000000000 -0.7328423274 1.707594991 +5 -40 2.18766241592892 0.6462894060 -0.7030547696 1.672095562 +10 -40 2.14462080554290 0.7870761379 -0.6661294516 1.628089682 +15 -40 2.09994837752449 0.9222344423 -0.6222535273 1.575800391 +20 -40 2.05359848076489 1.051541942 -0.5715288128 1.515349031 +25 -40 2.00552673549111 1.174648103 -0.5139988793 1.446787526 +30 -40 1.95570317044191 1.291046234 -0.4496774816 1.370132269 +35 -40 1.90414288410840 1.400058044 -0.3785921771 1.285416102 +40 -40 1.85090919527807 1.500816592 -0.3008165923 1.192726769 +45 -40 1.79615933420562 1.592281137 -0.2165326993 1.092281137 + +-45 -35 2.46513477401022 -1.062124536 -0.3938113754 1.562124536 +-40 -35 2.44404576874765 -0.8844174556 -0.4552615475 1.649884476 +-35 -35 2.41868093455519 -0.7033973139 -0.5033973139 1.718629475 +-30 -35 2.38973948528384 -0.5216974062 -0.5391095385 1.769631817 +-25 -35 2.35780201844590 -0.3413367184 -0.5633511418 1.804252415 +-20 -35 2.32333584852583 -0.1638195755 -0.5770590203 1.823829294 +-15 -35 2.28670738267803 0.009758145613 -0.5811049695 1.829607509 +-10 -35 2.24819735779758 0.1786087152 -0.5762686652 1.822700550 +-5 -35 2.20801197397136 0.3421642811 -0.5632237788 1.804070522 +0 -35 2.16629826904938 0.5000000000 -0.5425376412 1.774527656 +5 -35 2.12316223766188 0.6517703898 -0.5146804712 1.734743494 +10 -35 2.07868281628108 0.7971583160 -0.4800377463 1.685268555 +15 -35 2.03291886577433 0.9358327271 -0.4389224879 1.626549881 +20 -35 1.98592396575032 1.067414825 -0.3915951371 1.558959419 +25 -35 1.93776308342906 1.191453829 -0.3382870083 1.482827521 +30 -35 1.88851636045567 1.307406949 -0.2792191367 1.398469858 +35 -35 1.83831078388686 1.414638317 -0.2146383170 1.306238889 +40 -35 1.78732048897567 1.512418718 -0.1448379570 1.206553644 +45 -35 1.73578759681495 1.599946511 -0.07019083853 1.099946511 + +-45 -30 2.41705080711870 -1.082331183 -0.2135593345 1.582331183 +-40 -30 2.39389396172411 -0.9072718307 -0.2682864109 1.677121260 +-35 -30 2.36656696317848 -0.7270942986 -0.3117903406 1.752472277 +-30 -30 2.33570650486435 -0.5445597041 -0.3445597041 1.809230479 +-25 -30 2.30186623405873 -0.3619420562 -0.3671977384 1.848440705 +-20 -30 2.26551593434441 -0.1810743038 -0.3803587646 1.871236271 +-15 -30 2.22704808132483 -0.003412247018 -0.3847026397 1.878760083 +-10 -30 2.18678499242428 0.1698965257 -0.3808631157 1.872109832 +-5 -30 2.14498600832479 0.3379444665 -0.3694277652 1.852303224 +0 -30 2.10186212682702 0.5000000000 -0.3509310634 1.820265997 +5 -30 2.05759103727910 0.6554527685 -0.3258551693 1.776833274 +10 -30 2.01232879327329 0.8037686505 -0.2946345785 1.722757625 +15 -30 1.96621450749376 0.9444522198 -0.2576614373 1.658718266 +20 -30 1.91938349724301 1.077017694 -0.2152982561 1.585343084 +25 -30 1.87198551945725 1.200971683 -0.1678952248 1.503238625 +30 -30 1.82417758753038 1.315797018 -0.1157970177 1.413001883 +35 -30 1.77615261823248 1.420957144 -0.05936751023 1.315263109 +40 -30 1.72813818829338 1.515901385 0.0009996471431 1.210704126 +45 -30 1.68040421563486 1.600082788 0.06486690620 1.100082788 + +-45 -25 2.36820246246945 -1.090349631 -0.04159221185 1.590349631 +-40 -25 2.34249785199257 -0.9179764931 -0.08800332312 1.689878580 +-35 -25 2.31283596181428 -0.7392575502 -0.1252914380 1.769843200 +-30 -25 2.27980453433349 -0.5569694307 -0.1536809737 1.830724756 +-25 -25 2.24393478179888 -0.3735225685 -0.1735225685 1.873275193 +-20 -25 2.20569931144955 -0.1909690840 -0.1852486965 1.898421956 +-15 -25 2.16551263148501 -0.01102995175 -0.1893371832 1.907189744 +-10 -25 2.12373274797566 0.1648660372 -0.1862825912 1.900639150 +-5 -25 2.08066662896473 0.3355366893 -0.1765764405 1.879824243 +0 -25 2.03658117198236 0.5000000000 -0.1606963948 1.845769375 +5 -25 1.99171450379951 0.6574322175 -0.1391012697 1.799458480 +10 -25 1.94628546435356 0.8071320349 -0.1122297527 1.741832326 +15 -25 1.90049446604259 0.9484894621 -0.08049897775 1.673785459 +20 -25 1.85453462007669 1.080961367 -0.04431013623 1.596178238 +25 -25 1.80860846554327 1.204058035 -0.004058034561 1.509857328 +30 -25 1.76291663651156 1.317328401 0.03986955102 1.415654316 +35 -25 1.71767755061869 1.420361370 0.08707949933 1.314412255 +40 -25 1.67312571031174 1.512787664 0.1371697636 1.206993337 +45 -25 1.62951515107612 1.594289386 0.1897244791 1.094289386 + +-45 -20 2.31889606729806 -1.087959339 0.1220300672 1.587959339 +-40 -20 2.29027496317194 -0.9180720487 0.08489304892 1.689992459 +-35 -20 2.25799469092915 -0.7411431992 0.05484958913 1.772536186 +-30 -20 2.22261060205746 -0.5598984575 0.03182417940 1.835797979 +-25 -20 2.18464076019880 -0.3767969302 0.01562782960 1.880297085 +-20 -20 2.14456272088024 -0.1940139026 0.005986097416 1.906787526 +-15 -20 2.10281052429726 -0.01344090121 0.002564775809 1.916187530 +-10 -20 2.05977250185202 0.1633003984 0.004992166440 1.909518329 +-5 -20 2.01579453104059 0.3348338197 0.01287585238 1.887858080 +0 -20 1.97118747578025 0.5000000000 0.02581417701 1.852310325 +5 -20 1.92623481893501 0.6578280140 0.04340408326 1.803982455 +10 -20 1.88119875622708 0.8075091405 0.06524646732 1.743970998 +15 -20 1.83631818445700 0.9483717637 0.09095179054 1.673346203 +20 -20 1.79181796739985 1.079860206 0.1201397944 1.593152821 +25 -20 1.74792249916127 1.201521783 0.1524365121 1.504418319 +30 -20 1.70484194446653 1.312989619 0.1874791994 1.408139327 +35 -20 1.66279170120227 1.413980276 0.2249099772 1.305299110 +40 -20 1.62198227610032 1.504284536 0.2643786931 1.196859704 +45 -20 1.58262594479204 1.583768128 0.3055406606 1.083768128 + +-45 -15 2.26929729491488 -1.076586559 0.2775549048 1.576586559 +-40 -15 2.23750438982416 -0.9088670481 0.2501073130 1.679022366 +-35 -15 2.20242314774564 -0.7338855688 0.2278276459 1.762171216 +-30 -15 2.16459201218922 -0.5542828820 0.2107056117 1.826071517 +-25 -15 2.12452526767095 -0.3725044083 0.1986424788 1.871091742 +-20 -15 2.08270736209579 -0.1907676461 0.1914676655 1.897868510 +-15 -15 2.03958844560161 -0.01104500623 0.1889549938 1.907245928 +-10 -15 1.99558004221507 0.1649402791 0.1908380937 1.900218104 +-5 -15 1.95105498068991 0.3357067138 0.1968233415 1.877880855 +0 -15 1.90635263675221 0.5000000000 0.2065996309 1.841395246 +5 -15 1.86178337438498 0.6567759555 0.2198464695 1.791957371 +10 -15 1.81763116674084 0.8051819414 0.2362408271 1.730772796 +15 -15 1.77414938145350 0.9445358492 0.2554641508 1.659030375 +20 -15 1.73157034070840 1.074306689 0.2772044005 1.577894659 +25 -15 1.69011398099932 1.194099487 0.3011573179 1.488501154 +30 -15 1.64997484168641 1.303634228 0.3270320567 1.391935314 +35 -15 1.61134166779514 1.402738074 0.3545482237 1.289243581 +40 -15 1.57438461841984 1.491327043 0.3834401176 1.181417565 +45 -15 1.53926580565795 1.569399671 0.4134552219 1.069399671 + +-45 -10 2.21946947501646 -1.057343676 0.4253982916 1.557343676 +-40 -10 2.18435959385966 -0.8914431709 0.4076044798 1.658257398 +-35 -10 2.14639954677746 -0.7184795410 0.3931612318 1.740169128 +-30 -10 2.10612297831816 -0.5409942689 0.3820727621 1.803054964 +-25 -10 2.06404668977769 -0.3613742244 0.3742847483 1.847222985 +-20 -10 2.02066117078986 -0.1818108997 0.3696937111 1.873260051 +-15 -10 1.97642685986926 -0.004275071098 0.3681561160 1.881980186 +-10 -10 1.93176809528217 0.1694979117 0.3694979117 1.874370485 +-5 -10 1.88706944088521 0.3380111611 0.3735233832 1.851540901 +0 -10 1.84268002449621 0.5000000000 0.3800219717 1.814685574 +5 -10 1.79891661231742 0.6544216694 0.3887744580 1.765047758 +10 -10 1.75606270344555 0.8004410271 0.3995589729 1.703885735 +15 -10 1.71436469415983 0.9374112676 0.4121565942 1.632441074 +20 -10 1.67404208979022 1.064854791 0.4263536123 1.551925784 +25 -10 1.63529033814894 1.182444323 0.4419443045 1.463506574 +30 -10 1.59827318247321 1.289979142 0.4587346117 1.368284011 +35 -10 1.56314064374712 1.387372017 0.4765410683 1.267298577 +40 -10 1.53001625903730 1.474624636 0.4951940234 1.161512412 +45 -10 1.49901051820959 1.551816471 0.5145363774 1.051816471 + +-45 -5 2.16940010627854 -1.031070519 0.5660486866 1.531070519 +-40 -5 2.13093325407585 -0.8666715870 0.5575040839 1.628735774 +-35 -5 2.09012140261606 -0.6957775083 0.5505914742 1.707747265 +-30 -5 2.04750106329448 -0.5208246011 0.5453095377 1.768120075 +-25 -5 2.00359159974937 -0.3441050422 0.5416289745 1.810189105 +-20 -5 1.95888523076512 -0.1677254669 0.5394967412 1.834560643 +-15 -5 1.91384168013188 0.006420643707 0.5388403494 1.842063235 +-10 -5 1.86888322225753 0.1766697301 0.5395722930 1.833697081 +-5 -5 1.82438872807188 0.3415945409 0.5415945409 1.810582683 +0 -5 1.78069734306691 0.5000000000 0.5448020005 1.773921252 +5 -5 1.73811094693974 0.6509142533 0.5490857467 1.724957808 +10 -5 1.69689238396045 0.7935746150 0.5543362416 1.664944377 +15 -5 1.65726291752250 0.9274077488 0.5604461824 1.595107434 +20 -5 1.61941426320428 1.052009953 0.5673116411 1.516634882 +25 -5 1.58350487303804 1.167124202 0.5748341275 1.430652469 +30 -5 1.54966172921038 1.272616359 0.5829217266 1.338210789 +35 -5 1.51799244679855 1.368457317 0.5914890717 1.240285586 +40 -5 1.48857696837467 1.454697123 0.6004585722 1.137763727 +45 -5 1.46148107860335 1.531451315 0.6097597029 1.031451315 + +-45 0 2.11902184456798 -0.9983747158 0.7000000000 1.498374716 +-40 0 2.07726080173588 -0.8352375054 0.7000000000 1.591274094 +-35 0 2.03372930673906 -0.6664992083 0.7000000000 1.665933519 +-30 0 1.98896803152497 -0.4944840158 0.7000000000 1.722496843 +-25 0 1.94349244618830 -0.3213553993 0.7000000000 1.761402338 +-20 0 1.89778496389824 -0.1490806854 0.7000000000 1.783334526 +-15 0 1.85228972927925 0.02059214101 0.7000000000 1.789174487 +-10 0 1.80740827512086 0.1861468467 0.7000000000 1.779949682 +-5 0 1.76349441566745 0.3463013344 0.7000000000 1.756783787 +0 0 1.72085634798510 0.5000000000 0.7000000000 1.720856348 +5 0 1.67976205217801 0.6464009093 0.7000000000 1.673370050 +10 0 1.64043823127895 0.7848591094 0.7000000000 1.615516289 +15 0 1.60306887022770 0.9149047542 0.7000000000 1.548445623 +20 0 1.56780651036525 1.036221407 0.7000000000 1.473256209 +25 0 1.53476906377827 1.148621434 0.7000000000 1.390973154 +30 0 1.50404750976406 1.252023755 0.7000000000 1.302543352 +35 0 1.47570979367061 1.346432365 0.7000000000 1.208830694 +40 0 1.44980136943040 1.431914357 0.7000000000 1.110612283 +45 0 1.42635432932920 1.508584819 0.7000000000 1.008584819 + +-45 5 2.06823694320648 -0.9596738519 0.8277049145 1.459673852 +-40 5 2.02334669176395 -0.7976710692 0.8353015820 1.546504159 +-35 5 1.97733055388163 -0.6312488355 0.8413458772 1.615590770 +-30 5 1.93072897525099 -0.4626054274 0.8458682308 1.667281508 +-25 5 1.88404053402453 -0.2937386615 0.8489212829 1.702178053 +-20 5 1.83771983085752 -0.1264238011 0.8505754482 1.721085248 +-15 5 1.79217494475672 0.03779846850 0.8509144099 1.724959599 +-10 5 1.74776549224829 0.1976239705 0.8500307814 1.714859679 +-5 5 1.70479985991220 0.3519780349 0.8480219651 1.691898803 +0 5 1.66353662672100 0.5000000000 0.8449867703 1.657206368 +5 5 1.62419469129321 0.6410232928 0.8410232928 1.611903613 +10 5 1.58695314792875 0.7745543346 0.8362264113 1.557075007 +15 5 1.55194996839950 0.9002475619 0.8306856869 1.493744237 +20 5 1.51929540665319 1.017882426 0.8244850183 1.422870270 +25 5 1.48906924110388 1.127338852 0.8177013433 1.345332510 +30 5 1.46133138451017 1.228577413 0.8104048401 1.261933096 +35 5 1.43611874292153 1.321616625 0.8026583356 1.173390145 +40 5 1.41345586086920 1.406518288 0.7945180650 1.080346426 +45 5 1.39335395124002 1.483370080 0.7860337341 0.9833700804 + +-45 10 2.01692471258497 -0.9152233144 0.9495420541 1.415223314 +-40 10 1.96917227433788 -0.7543682465 0.9635908269 1.494897864 +-35 10 1.92101097133514 -0.5905297525 0.9746183212 1.557437892 +-30 10 1.87296351412729 -0.4257504448 0.9827309339 1.603446806 +-25 10 1.82549395722703 -0.2618206746 0.9880706269 1.633729709 +-20 10 1.77900595642463 -0.1002716681 0.9908042496 1.649232854 +-15 10 1.73384769513529 0.05761774570 0.9911146196 1.650993049 +-10 10 1.69031458163765 0.2108076790 0.9891923210 1.640091152 +-5 10 1.64865009124073 0.3584774316 0.9852283506 1.617610359 +0 10 1.60904820183598 0.5000000000 0.9794082880 1.584603144 +5 10 1.57166739285204 0.6349142594 0.9719097888 1.542077042 +10 10 1.53663051023732 0.7628988406 0.9628988406 1.490973415 +15 10 1.50402743610057 0.8837448062 0.9525275871 1.432155114 +20 10 1.47392896000165 0.9973326775 0.9409350028 1.366410301 +25 10 1.44638298428140 1.103608934 0.9282453203 1.294443535 +30 10 1.42142555673142 1.202568593 0.9145695696 1.216884499 +35 10 1.39907612168145 1.294234994 0.9000050710 1.134285123 +40 10 1.37935149737549 1.378650762 0.8846381886 1.047135202 +45 10 1.36225791537521 1.455860747 0.8685440395 0.9558607469 + +-45 15 1.96495587889044 -0.8651463976 1.065789875 1.365146398 +-40 15 1.91471006067679 -0.7056163659 1.084988766 1.436797635 +-35 15 1.86484503854985 -0.5447608051 1.099799772 1.492073061 +-30 15 1.81583603997469 -0.3844183304 1.110459976 1.531857483 +-25 15 1.76808501216500 -0.2261207908 1.117242728 1.557171061 +-20 15 1.72192069864550 -0.07110620982 1.120439457 1.569101416 +-15 15 1.67760663036118 0.07965417351 1.120345826 1.568751981 +-10 15 1.63535272016863 0.2254227771 1.117251772 1.557204812 +-5 15 1.59532108409274 0.3656621438 1.111432963 1.535488723 +0 15 1.55762953878732 0.5000000000 1.103144190 1.504554599 +5 15 1.52236850319998 0.6281947084 1.092618508 1.465272222 +10 15 1.48960296965131 0.7501057060 1.080064478 1.418419943 +15 15 1.45937758740856 0.8656657449 1.065665745 1.364683139 +20 15 1.43172866922642 0.9748587635 1.049583593 1.304663730 +25 15 1.40668000189548 1.077698238 1.031956324 1.238877868 +30 15 1.38425351027702 1.174212402 1.012903065 1.167770136 +35 15 1.36446742547445 1.264429246 0.9925249842 1.091718103 +40 15 1.34734168132104 1.348367184 0.9709085945 1.011044639 +45 15 1.33289447787777 1.426023894 0.9481273546 0.9260238941 + +-45 20 1.91220897808800 -0.8094636489 1.176605791 1.309463649 +-40 20 1.85994719257787 -0.6516255333 1.199532355 1.372453867 +-35 20 1.80891744206192 -0.4943006466 1.216840821 1.420008486 +-30 20 1.75951309129913 -0.3390607018 1.228956400 1.453295766 +-25 20 1.71203840017739 -0.1871198419 1.236322244 1.473533256 +-20 20 1.66671967893981 -0.03937645079 1.239376451 1.481924619 +-15 20 1.62371404347664 0.1035395523 1.238534193 1.479610534 +-10 20 1.58312833031905 0.2412147810 1.234178697 1.467643908 +-5 20 1.54503174277310 0.3734062487 1.226655174 1.446973198 +0 20 1.50946021563698 0.5000000000 1.216265799 1.418428626 +5 20 1.47643471974987 0.6209731842 1.203272498 1.382729823 +10 20 1.44596449152529 0.7363638061 1.187896915 1.340485756 +15 20 1.41805367288836 0.8462445843 1.170323203 1.292202380 +20 20 1.39270909047645 0.9507023561 1.150702356 1.238294546 +25 20 1.36994037271543 1.049820151 1.129154799 1.179093120 +30 20 1.34976649785903 1.143664449 1.105775684 1.114859529 +35 20 1.33221606030308 1.232274044 1.080638512 1.045795716 +40 20 1.31732525116315 1.315649714 1.053798532 0.9720534765 +45 20 1.30514156582764 1.393749301 1.025298142 0.8937493008 + +-45 25 1.85857533250954 -0.7481131323 1.282004712 1.248113132 +-40 25 1.80489084980360 -0.5925486209 1.307155301 1.302048744 +-35 25 1.75333040008565 -0.4394647836 1.325642541 1.341694758 +-30 25 1.70416592364518 -0.2900902288 1.338131034 1.368476419 +-25 25 1.65756818514200 -0.1452608294 1.345260829 1.383766314 +-20 25 1.61363125856277 -0.005494700444 1.347624525 1.388835275 +-15 25 1.57239008344720 0.1289384708 1.345752395 1.384820480 +-10 25 1.53383700028589 0.2579540680 1.340105509 1.372710693 +-5 25 1.49794336844844 0.3815972140 1.331077486 1.353350037 +0 25 1.46466356352543 0.5000000000 1.318993569 1.327435993 +5 25 1.43395226859997 0.6133447012 1.304118295 1.295535863 +10 25 1.40576763833948 0.7218360478 1.286659214 1.258094745 +15 25 1.38007954128871 0.8256789968 1.266773906 1.215450563 +20 25 1.35687268427690 0.9250611454 1.244575486 1.167845899 +25 25 1.33615190814668 1.020139380 1.220139380 1.115442501 +30 25 1.31794116016549 1.111027611 1.193507788 1.058330867 +35 25 1.30228695054566 1.197787894 1.164696281 0.9965443906 +40 25 1.28925467045119 1.280420274 1.133698141 0.9300686657 +45 25 1.27893448680004 1.358859418 1.100492724 0.8588594180 + +-45 30 1.80397970677859 -0.6809819369 1.381840239 1.180981937 +-40 30 1.74958967499086 -0.5285118323 1.407677088 1.225732671 +-35 30 1.69822332497290 -0.3805498396 1.426050005 1.257555498 +-30 30 1.64998754167968 -0.2378968610 1.437896861 1.278074854 +-25 30 1.60488861191075 -0.1009562891 1.444063001 1.288754921 +-20 30 1.56286630683415 0.03016084955 1.445285560 1.290872457 +-15 30 1.52382184835922 0.1555482627 1.442190344 1.285511384 +-10 30 1.48763175023495 0.2754363548 1.435292356 1.273563719 +-5 30 1.45417128956758 0.3901361112 1.425007597 1.255749995 +0 30 1.42331893237330 0.5000000000 1.411659466 1.232630353 +5 30 1.39496991528071 0.6053911741 1.395491511 1.204626632 +10 30 1.36903841385475 0.7066615321 1.376675179 1.172035790 +15 30 1.34546760378408 0.8041357191 1.355321398 1.135049956 +20 30 1.32422718574068 0.8980978880 1.331485493 1.093764958 +25 30 1.30532103198086 0.9887821358 1.305176631 1.048196673 +30 30 1.28878355702483 1.076361528 1.276361528 0.9982874506 +35 30 1.27468553114567 1.160940245 1.244972751 0.9439204930 +40 30 1.26313321161951 1.242544079 1.210914328 0.8849295739 +45 30 1.25426592650170 1.321109793 1.174067960 0.8211097928 + +-45 35 1.74839994591185 -0.6079387960 1.475787097 1.107938796 +-40 35 1.69413910576593 -0.4596365912 1.500792600 1.143650355 +-35 35 1.64377236354606 -0.3178471243 1.517847124 1.168006740 +-30 35 1.59719220539366 -0.1828556600 1.528163952 1.182740697 +-25 35 1.55421622476671 -0.05459244158 1.532775961 1.189327329 +-20 35 1.51461911359443 0.06724559745 1.532534824 1.188982949 +-15 35 1.47816590683463 0.1830994640 1.528127684 1.182688901 +-10 35 1.44462525849505 0.2934834474 1.520092571 1.171213570 +-5 35 1.41378561860767 0.3989381072 1.508839641 1.155142721 +0 35 1.38546075141037 0.5000000000 1.494667640 1.134903007 +5 35 1.35949736756835 0.5971811959 1.477780837 1.110786153 +10 35 1.33577575896026 0.6909559612 1.458300306 1.082965071 +15 35 1.31421739091462 0.7817519966 1.436277166 1.051512767 +20 35 1.29478129166365 0.8699427132 1.411697419 1.016409251 +25 35 1.27747143606825 0.9558413376 1.384491312 0.9775549031 +30 35 1.26233573038160 1.039692778 1.354536720 0.9347753119 +35 35 1.24947117230479 1.121665401 1.321665401 0.8878302030 +40 35 1.23902519994659 1.201839604 1.285667498 0.8364198696 +45 35 1.23119384935177 1.280191874 1.246296232 0.7801918744 + +-45 40 1.69189414381119 -0.5288753476 1.563328925 1.028875348 +-40 40 1.63871435986886 -0.3860794066 1.586079407 1.055988316 +-35 40 1.59020963597882 -0.2516667930 1.600766265 1.073491432 +-30 40 1.54602460117750 -0.1253387311 1.608844295 1.083118454 +-25 40 1.50577239714090 -0.006533507297 1.611484235 1.086264612 +-20 40 1.46906871663064 0.1054472089 1.609604881 1.084024884 +-15 40 1.43555197838773 0.2113550526 1.603909680 1.077237609 +-10 40 1.40489883280924 0.3119420785 1.594924486 1.066529471 +-5 40 1.37682689900133 0.4079313208 1.583026345 1.052349819 +0 40 1.35110018704874 0.5000000000 1.568470460 1.035002790 +5 40 1.32752897463556 0.5887721176 1.551409178 1.014669947 +10 40 1.30596843407753 0.6748152276 1.531905545 0.9914264223 +15 40 1.28632396659347 0.7586398259 1.509946768 0.9652569710 +20 40 1.26854779388947 0.8406982036 1.485448122 0.9360606214 +25 40 1.25264455172634 0.9213826999 1.458259192 0.9036581162 +30 40 1.23867328010459 1.001020732 1.428165091 0.8677933632 +35 40 1.22675087019512 1.079865617 1.394886872 0.8281339257 +40 40 1.21706056463921 1.158084367 1.358084367 0.7842744091 +45 40 1.20985531639161 1.235737702 1.317357234 0.7357377019 + +-45 45 1.63462126172773 -0.4437490255 1.643749025 0.9437490255 +-40 45 1.58357547560407 -0.3080567673 1.663004555 0.9630045555 +-35 45 1.53782571080760 -0.1823526541 1.674500583 0.9745005829 +-30 45 1.49675724420126 -0.06572106303 1.679857624 0.9798576241 +-25 45 1.45978478187590 0.04287479961 1.680308156 0.9803081558 +-20 45 1.42638211395503 0.1444834306 1.676773747 0.9767737466 +-15 45 1.39608591584400 0.2401091303 1.669925930 0.9699259302 +-10 45 1.36850331009037 0.3306832551 1.660242977 0.9602429770 +-5 45 1.34330321408419 0.4170566880 1.648046394 0.9480463944 +0 45 1.32021710353810 0.5000000000 1.633534467 0.9335344666 +5 45 1.29903242383150 0.5802097773 1.616801950 0.9168019497 +10 45 1.27958885839000 0.6583158906 1.597854032 0.8978540319 +15 45 1.26178061570399 0.7348890265 1.576617781 0.8766177809 +20 45 1.24555346628923 0.8104461918 1.552943902 0.8529439018 +25 45 1.23090838109689 0.8854535596 1.526607826 0.8266078260 +30 45 1.21790804572476 0.9603259727 1.497307973 0.7973079727 +35 45 1.20668153560588 1.035419809 1.464658733 0.7646587332 +40 45 1.19743728670777 1.111020641 1.428186045 0.7281860447 +45 45 1.19047526015986 1.187321212 1.387321212 0.6873212119 + + +### +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 1.86195965999445 1.575002911 -0.3750029109 1.075002911 +45 -40 1.79615946561894 1.592281217 -0.2165327663 1.092281217 +45 -35 1.73578768370769 1.599946566 -0.07019087709 1.099946566 +45 -30 1.68040440495780 1.600082912 0.06486683464 1.100082912 +45 -25 1.62951516657792 1.594289396 0.1897244742 1.094289396 +45 -20 1.58262600573513 1.583768170 0.3055406454 1.083768170 +45 -15 1.53926582476954 1.569399684 0.4134552183 1.069399684 +45 -10 1.49901055422335 1.551816497 0.5145363729 1.051816497 +45 -5 1.46148110309983 1.531451333 0.6097597014 1.031451333 +45 0 1.42635434725131 1.508584831 0.7000000000 1.008584831 +45 5 1.39335396042752 1.483370087 0.7860337347 0.9833700869 +45 10 1.36225792616659 1.455860754 0.8685440408 0.9558607544 +45 15 1.33289449480721 1.426023906 0.9481273578 0.9260239059 +45 20 1.30514160897318 1.393749330 1.025298153 0.8937493304 +45 25 1.27893451147468 1.358859435 1.100492732 0.8588594345 +45 30 1.25426595357052 1.321109811 1.174067970 0.8211098105 +45 35 1.23119382327860 1.280191858 1.246296220 0.7801918579 +45 40 1.20985531440402 1.235737701 1.317357233 0.7357377007 +45 45 1.19047536748697 1.187321274 1.387321274 0.6873212739 + +50 -45 1.87150781184978 1.638102084 -0.4381020837 0.9549810386 +50 -40 1.80240577792459 1.661471144 -0.2745900086 0.9745900086 +50 -35 1.73832442299326 1.673478221 -0.1216782962 0.9846651423 +50 -30 1.67905275969184 1.676315712 0.02085380704 0.9870460801 +50 -25 1.62427941012945 1.671755603 0.1536013889 0.9832196942 +50 -20 1.57364496980845 1.661191636 0.2773608082 0.9743554736 +50 -15 1.52677733397551 1.645693078 0.3930124649 0.9613506393 +50 -10 1.48332375593945 1.626065781 0.5014442208 0.9448813813 +50 -5 1.44295459373569 1.602893186 0.6035093491 0.9254372660 +50 0 1.40538393065099 1.576586551 0.7000000000 0.9033633775 +50 5 1.37036325747601 1.547409465 0.7916364543 0.8788808961 +50 10 1.33769370111767 1.515510671 0.8790619304 0.8521146291 +50 15 1.30722275645892 1.480939414 0.9628419239 0.8231059007 +50 20 1.27884648957131 1.443660022 1.043464159 0.7918247768 +50 25 1.25251704976974 1.403566136 1.121339809 0.7581820117 +50 30 1.22824134828860 1.360484930 1.196801206 0.7220325872 +50 35 1.20608870433716 1.314185665 1.270098940 0.6831828915 +50 40 1.18619791898123 1.264386505 1.341396435 0.6413964348 +50 45 1.16877788765911 1.210757679 1.410757679 0.5963965066 + +55 -45 1.87963334058841 1.691099728 -0.4910997281 0.8340170084 +55 -40 1.80786579499627 1.720423017 -0.3240565033 0.8545493962 +55 -35 1.74066823507728 1.736857534 -0.1660569687 0.8660569687 +55 -30 1.67803814088132 1.742608118 -0.01742013160 0.8700835715 +55 -25 1.61984371108494 1.739547216 0.1219896406 0.8679403045 +55 -20 1.56586697080479 1.729212752 0.2526031467 0.8607040351 +55 -15 1.51584974762820 1.712839955 0.3750205134 0.8492396794 +55 -10 1.46952318326897 1.691399281 0.4899241620 0.8342267573 +55 -5 1.42662039221366 1.665629456 0.5980206368 0.8161825316 +55 0 1.38690086293391 1.636082677 0.7000000000 0.7954936545 +55 5 1.35014811050651 1.603147281 0.7965128813 0.7724320421 +55 10 1.31618791500864 1.567084448 0.8881557789 0.7471805745 +55 15 1.28488407504730 1.528043015 0.9754632956 0.7198434685 +55 20 1.25614393807394 1.486078751 1.058903314 0.6904597749 +55 25 1.22992495764866 1.441171081 1.138875283 0.6590150858 +55 30 1.20623122762535 1.393229230 1.215706136 0.6254458400 +55 35 1.18512259216264 1.342106369 1.289649227 0.5896492273 +55 40 1.16671441237820 1.287605544 1.360879522 0.5514873391 +55 45 1.15117649085272 1.229485893 1.429485893 0.5107915210 + +60 -45 1.88643257012424 1.734960007 -0.5349600066 0.7130044922 +60 -40 1.81254343314220 1.769837000 -0.3655197583 0.7331407337 +60 -35 1.74277255383039 1.790544756 -0.2036491668 0.7450963625 +60 -30 1.67729746518905 1.799229030 -0.05011023013 0.7501102301 +60 -25 1.61614859170367 1.797796891 0.09482737109 0.7492833843 +60 -20 1.55924905109970 1.787884731 0.2312482928 0.7435605961 +60 -15 1.50645959729901 1.770864415 0.3594729062 0.7337339124 +60 -10 1.45760161807339 1.747854878 0.4799695169 0.7204493500 +60 -5 1.41247869718100 1.719746346 0.5932860224 0.7042208810 +60 0 1.37090123134842 1.687235292 0.7000000000 0.6854506157 +60 5 1.33268835842504 1.650843378 0.8006857491 0.6644397340 +60 10 1.29768876520523 1.610953251 0.8958910325 0.6414091586 +60 15 1.26577799690283 1.567823005 0.9861223119 0.6165078994 +60 20 1.23686700697222 1.521608531 1.071835096 0.5898259604 +60 25 1.21090657433100 1.472380136 1.153428304 0.5614039332 +60 30 1.18788512710338 1.420131863 1.231238379 0.5312383787 +60 35 1.16783845695983 1.364798905 1.305538713 0.4992918808 +60 40 1.15084543732913 1.306262675 1.376534713 0.4654959726 +60 45 1.13702535914058 1.244357825 1.444357825 0.4297551907 + +65 -45 1.89200156092490 1.770560280 -0.5705602798 0.5924719886 +65 -40 1.81644963543696 1.810387255 -0.3995454624 0.6110436122 +65 -35 1.74459697107325 1.835011707 -0.2347852611 0.6225261829 +65 -30 1.67676679371685 1.846474416 -0.07738736664 0.6278713318 +65 -25 1.61313026474032 1.846668777 0.07203803625 0.6279619638 +65 -20 1.55374175382590 1.837289015 0.2132666040 0.6235881088 +65 -15 1.49857705694795 1.819812571 0.3463572874 0.6154387092 +65 -10 1.44754745572489 1.795485682 0.4715709212 0.6040948943 +65 -5 1.40052900121682 1.765338874 0.5892971930 0.5900372071 +65 0 1.35738398338247 1.730207674 0.7000000000 0.5736552596 +65 5 1.31796671161518 1.690746149 0.8041767892 0.5552540482 +65 10 1.28214649540050 1.647459740 0.9023281114 0.5350692640 +65 15 1.24980591866145 1.600717214 0.9949362885 0.5132728663 +65 20 1.22085370633724 1.550775810 1.082451118 0.4899848073 +65 25 1.19522691990106 1.497795906 1.165279872 0.4652798724 +65 30 1.17289016790567 1.441852266 1.243778659 0.4391929244 +65 35 1.15384643296849 1.382953784 1.318250895 0.4117281111 +65 40 1.13813098924112 1.321048001 1.388941075 0.3828609708 +65 45 1.12580927470695 1.256029264 1.456029264 0.3525422355 + +70 -45 1.89642697761913 1.798656276 -0.5986562758 0.4726722289 +70 -40 1.81960446273802 1.842684992 -0.4266464813 0.4886973709 +70 -35 1.74611687115520 1.870709750 -0.2597812999 0.4988975490 +70 -30 1.67639837185396 1.884645939 -0.09942570547 0.5039699067 +70 -25 1.61073733615659 1.886344507 0.05353693961 0.5045881349 +70 -20 1.54930297753257 1.877526319 0.1986214228 0.5013785772 +70 -15 1.49217458965699 1.859745116 0.3356573941 0.4949067486 +70 -10 1.43934675077548 1.834350760 0.4647179594 0.4856639586 +70 -5 1.39076389730146 1.802496272 0.5860463420 0.4740698731 +70 0 1.34633844555656 1.765144302 0.7000000000 0.4604748681 +70 5 1.30595742004701 1.723072208 0.8070049529 0.4451618780 +70 10 1.26950766805130 1.676900924 0.9075193866 0.4283569051 +70 15 1.23687513541924 1.627103314 1.002006423 0.4102320572 +70 20 1.20796128944764 1.574030382 1.090915090 0.3909150898 +70 25 1.18268493154570 1.517924351 1.174665920 0.3704941646 +70 30 1.16098309927861 1.458931099 1.253639128 0.3490223768 +70 35 1.14282347966136 1.397121672 1.328171357 0.3265255850 +70 40 1.12819793492623 1.332496548 1.398547547 0.3030039638 +70 45 1.11712277354057 1.264995709 1.464995709 0.2784356675 + +75 -45 1.89978706371744 1.819870585 -0.6198705854 0.3536582575 +75 -40 1.82203057497685 1.867250988 -0.4472597995 0.3663537980 +75 -35 1.74731301716735 1.898035026 -0.2789146641 0.3746023563 +75 -30 1.67615043548217 1.914017307 -0.1163832730 0.3788847956 +75 -25 1.60892279815415 1.916995226 0.03924427475 0.3796827264 +75 -20 1.54589292940418 1.908695990 0.1872765904 0.3774589530 +75 -15 1.48722519984709 1.890723806 0.3273566792 0.3726433208 +75 -10 1.43298624392365 1.864508737 0.4594002943 0.3656190141 +75 -5 1.38317955163917 1.831303538 0.5835260327 0.3567217079 +75 0 1.33776019314346 1.792177120 0.7000000000 0.3462378158 +75 5 1.29664350881736 1.748013021 0.8091869913 0.3344040811 +75 10 1.25973026338586 1.699532067 0.9115098676 0.3214136486 +75 15 1.22690719268187 1.647297021 1.007417310 0.3074173102 +75 20 1.19806655357429 1.591738967 1.097360488 0.2925305746 +75 25 1.17310865703124 1.533169129 1.181774677 0.2768368338 +75 30 1.15194438493269 1.471791829 1.261064274 0.2603908358 +75 35 1.13450878438642 1.407726894 1.335597214 0.2432246883 +75 40 1.12075534862252 1.341014349 1.405694830 0.2253491156 +75 45 1.11065916593116 1.271626669 1.471626669 0.2067567428 + +80 -45 1.90214065673218 1.834682345 -0.6346823448 0.2353405081 +80 -40 1.82374566883317 1.884497203 -0.4617310920 0.2441242115 +80 -35 1.74817249636115 1.917311056 -0.2924118853 0.2499101792 +80 -30 1.67599243312542 1.934819575 -0.1283934678 0.2529974035 +80 -25 1.60765068614769 1.938770409 0.02909033997 0.2536940421 +80 -20 1.54347898457744 1.930886862 0.1791997736 0.2523039601 +80 -15 1.48370500386188 1.912803821 0.3214403571 0.2491154321 +80 -10 1.42845081187522 1.886008003 0.4556093936 0.2443906064 +80 -5 1.37776561527015 1.851825923 0.5817305567 0.2383633835 +80 0 1.33163741909318 1.811406855 0.7000000000 0.2312364111 +80 5 1.29000287976120 1.765715529 0.8107357600 0.2231797976 +80 10 1.25277307451576 1.715550086 0.9143342766 0.2143342766 +80 15 1.21983424402438 1.661542541 1.011234386 0.2048112893 +80 20 1.19107010138471 1.604185141 1.101890524 0.1946976320 +80 25 1.16636475977992 1.543840628 1.186750879 0.1840572663 +80 30 1.14560757469491 1.480756321 1.266239926 0.1729338009 +80 35 1.12870752388681 1.415086844 1.340750706 0.1613545003 +80 40 1.11558846660158 1.346899399 1.410632973 0.1493312140 +80 45 1.10619464922042 1.276187851 1.476187851 0.1368628602 + +85 -45 1.90353608603511 1.843434977 -0.6434349774 0.1175353307 +85 -40 1.82476924714116 1.894725502 -0.4703136539 0.1220226701 +85 -35 1.74869153916370 1.928779778 -0.3004423709 0.1250020332 +85 -30 1.67590646970755 1.947229467 -0.1355583224 0.1266161719 +85 -25 1.60689831115694 1.951787787 0.02302023679 0.1270149732 +85 -20 1.54204086164522 1.944172139 0.1743643281 0.1263486904 +85 -15 1.48160070476726 1.926033415 0.3178954980 0.1247617577 +85 -10 1.42573467805290 1.898891855 0.4533376228 0.1223871788 +85 -5 1.37452082856550 1.864119155 0.5806550383 0.1193449617 +85 0 1.32796793073882 1.822914612 0.7000000000 0.1157400313 +85 5 1.28602584662361 1.776293858 0.8116612439 0.1116612439 +85 10 1.24861187884592 1.725103811 0.9160188560 0.1071826951 +85 15 1.21561150964094 1.670020119 1.013505946 0.1023634965 +85 20 1.18690233258310 1.611573191 1.104579555 0.09725005287 +85 25 1.16235762599701 1.550157682 1.189696569 0.09187689210 +85 30 1.14185302064917 1.486047472 1.269294774 0.08626797554 +85 35 1.12528080912175 1.419417992 1.343783409 0.08043865138 +85 40 1.11254623902898 1.350352237 1.413530248 0.07439618074 +85 45 1.10357452674250 1.278856062 1.478856062 0.06814107592 + +90 -45 1.90399611130938 1.846328562 -0.6463285617 0.000000000 +90 -40 1.82510706288287 1.898113124 -0.4731562064 0.000000000 +90 -35 1.74886257379026 1.932584353 -0.3031063627 0.000000000 +90 -30 1.67587672256212 1.951351815 -0.1379383613 0.000000000 +90 -25 1.60664677958045 1.956116487 0.02100173078 0.000000000 +90 -20 1.54156067475304 1.948593191 0.1727551971 0.000000000 +90 -15 1.48089810784094 1.930437728 0.3167153658 0.000000000 +90 -10 1.42482775824888 1.903181423 0.4525812563 0.000000000 +90 -5 1.37343753104306 1.868211187 0.5802970319 0.000000000 +90 0 1.32674329405959 1.826743294 0.7000000000 0.000000000 +90 5 1.28469938564825 1.779810717 0.8119689292 0.000000000 +90 10 1.24722516196241 1.728277009 0.9165783765 0.000000000 +90 15 1.21420578439799 1.672832726 1.014259582 0.000000000 +90 20 1.18551666356341 1.614021261 1.105470579 0.000000000 +90 25 1.16102725778570 1.552248045 1.190671322 0.000000000 +90 30 1.14060843315953 1.487795879 1.270304217 0.000000000 +90 35 1.12414674784957 1.420847107 1.344784086 0.000000000 +90 40 1.11154111392858 1.351489894 1.414484856 0.000000000 +90 45 1.10271032032521 1.279733945 1.479733945 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 1.19047539325202 1.187321289 1.387321289 0.6873212888 +40 45 1.19743731710536 1.111020657 1.428186063 0.7281860631 +35 45 1.20668156322228 1.035419821 1.464658751 0.7646587507 +30 45 1.21790807272109 0.9603259829 1.497307990 0.7973079904 +25 45 1.23090840141208 0.8854535659 1.526607840 0.8266078397 +20 45 1.24555350663328 0.8104462018 1.552943929 0.8529439295 +15 45 1.26178063818205 0.7348890306 1.576617796 0.8766177965 +10 45 1.27958887348794 0.6583158924 1.597854043 0.8978540425 +5 45 1.29903243255241 0.5802097778 1.616801956 0.9168019558 +0 45 1.32021711380419 0.5000000000 1.633534474 0.9335344738 +-5 45 1.34330322829518 0.4170566871 1.648046404 0.9480464045 +-10 45 1.36850333425484 0.3306832521 1.660242994 0.9602429939 +-15 45 1.39608594232491 0.2401091253 1.669925949 0.9699259486 +-20 45 1.42638218213667 0.1444834136 1.676773793 0.9767737932 +-25 45 1.45978482915577 0.04287478480 1.680308188 0.9803081875 +-30 45 1.49675741856916 -0.06572112893 1.679857738 0.9798577382 +-35 45 1.53782580015758 -0.1823526938 1.674500640 0.9745006395 +-40 45 1.58357585540647 -0.3080569611 1.663004786 0.9630047864 +-45 45 1.63462154470759 -0.4437491889 1.643749189 0.9437491889 + +45 50 1.16877793531092 1.210757708 1.410757708 0.5963965309 +40 50 1.17337986043019 1.134465503 1.456126542 0.6344655029 +35 50 1.18068613189665 1.058091549 1.497037333 0.6687937319 +30 50 1.19041517227361 0.9815012081 1.533984556 0.6997961337 +25 50 1.20236131857375 0.9044676984 1.567383778 0.7278214084 +20 50 1.21639027229711 0.8266900803 1.597573619 0.7531536926 +15 50 1.23242996749360 0.7478034154 1.624814936 0.7760118720 +10 50 1.25046914933576 0.6673861659 1.649294120 0.7965523456 +5 50 1.27055273890994 0.5849621057 1.671121312 0.8148675350 +0 50 1.29277738923391 0.5000000000 1.690324935 0.8309812879 +-5 50 1.31729513451959 0.4119122213 1.706847918 0.8448457166 +-10 50 1.34430907031691 0.3200525449 1.720532731 0.8563286378 +-15 50 1.37407591699673 0.2237159805 1.731105998 0.8652006627 +-20 50 1.40690845909515 0.1221418010 1.738156869 0.8711170462 +-25 50 1.44317039759211 0.01452545915 1.741103513 0.8735895734 +-30 50 1.48327942898734 -0.09995945421 1.739160257 0.8719589885 +-35 50 1.52769022962362 -0.2221148644 1.731286904 0.8653524609 +-40 50 1.57688261421833 -0.3526459798 1.716143910 0.8526459798 +-45 50 1.63132432178178 -0.4920416030 1.692041603 0.8324217432 + +45 55 1.15117652444124 1.229485914 1.429485914 0.5107915359 +40 55 1.15358198991791 1.153440727 1.478740334 0.5452798519 +35 55 1.15901204951097 1.076658114 1.523553137 0.5766581144 +30 55 1.16722334951356 0.9990289008 1.564343411 0.6052197718 +25 55 1.17803299944544 0.9203586264 1.601461983 0.6312104762 +20 55 1.19131954792946 0.8403817993 1.635191308 0.6548280033 +15 55 1.20701754644785 0.7587696724 1.665741565 0.6762195236 +10 55 1.22511623277843 0.6751366172 1.693249113 0.6954805163 +5 55 1.24565867982333 0.5890436445 1.717773513 0.7126526863 +0 55 1.26873621273988 0.5000000000 1.739287862 0.7277171956 +-5 55 1.29449324637323 0.4074655054 1.757674113 0.7405913870 +-10 55 1.32312079337715 0.3108531308 1.772705201 0.7511162679 +-15 55 1.35485828583266 0.2095350968 1.784029776 0.7590458211 +-20 55 1.38999102459486 0.1028541235 1.791149328 0.7640309847 +-25 55 1.42884321020528 -0.009855470525 1.793388585 0.7655989294 +-30 55 1.47177252028596 -0.1292343478 1.789865860 0.7631322910 +-35 55 1.51915222690085 -0.2558432711 1.779456061 0.7558432711 +-40 55 1.57134704553639 -0.3900816451 1.760757998 0.7427507466 +-45 55 1.62868199696417 -0.5320750552 1.732075055 0.7226667337 + +45 60 1.13702537525721 1.244357836 1.444357836 0.4297551968 +40 60 1.13746744291940 1.168670341 1.496890281 0.4600848181 +35 60 1.14116879349183 1.091710162 1.545049688 0.4878896648 +30 60 1.14793385509324 1.013371627 1.589185741 0.5133716267 +25 60 1.15761395537461 0.9334726919 1.629585188 0.5366962584 +20 60 1.17011285016171 0.8517670226 1.666471951 0.5579928413 +15 60 1.18538210981252 0.7679492538 1.700000229 0.5773504013 +10 60 1.20342088721864 0.6816609394 1.730250383 0.5948153358 +5 60 1.22427730147194 0.5924952007 1.757224982 0.6103891277 +0 60 1.24804206192373 0.5000000000 1.780836131 0.6240210310 +-5 60 1.27485362667648 0.4036837146 1.800900180 0.6356050154 +-10 60 1.30488969463821 0.3030219600 1.817117977 0.6449683649 +-15 60 1.33836882097479 0.1974689226 1.829061352 0.6518638754 +-20 60 1.37554273583773 0.08647529377 1.836149793 0.6559563887 +-25 60 1.41668945619217 -0.03048444119 1.837627555 0.6568095753 +-30 60 1.46209913524144 -0.1538706112 1.832537120 0.6538706112 +-35 60 1.51205974774575 -0.2840217177 1.819699053 0.6464585499 +-40 60 1.56682312986105 -0.4210708952 1.797689548 0.6337513563 +-45 60 1.62658093997738 -0.5648471831 1.764847183 0.6147898078 + +45 65 1.12580929378947 1.256029277 1.456029277 0.3525422414 +40 65 1.12456326685139 1.180728171 1.511260243 0.3782968640 +35 65 1.12674122908576 1.103727458 1.562212165 0.4020561356 +30 65 1.13219746065228 1.024912591 1.609175277 0.4239553945 +25 65 1.14082329832817 0.9441015424 1.652378831 0.4441015424 +20 65 1.15255416415078 0.8610552404 1.691991120 0.4625730561 +15 65 1.16736550081366 0.7754815312 1.728111071 0.4794160658 +10 65 1.18527273965761 0.6870410251 1.760762365 0.4946416144 +5 65 1.20633403967949 0.5953529447 1.789889145 0.5082236548 +0 65 1.23064266993560 0.5000000000 1.815341035 0.5200920660 +-5 65 1.25833272740028 0.4005368936 1.836868508 0.5301304917 +-10 65 1.28956879382700 0.2965006187 1.854102341 0.5381667600 +-15 65 1.32454709954720 0.1874258637 1.866542558 0.5439677282 +-20 65 1.36348322004988 0.07286800301 1.873535517 0.5472285986 +-25 65 1.40660634636470 -0.04756599811 1.874259072 0.5475659981 +-30 65 1.45413828390527 -0.1741717068 1.867699649 0.5445072889 +-35 65 1.50628360271993 -0.3070928324 1.852648020 0.5374885988 +-40 65 1.56319042357579 -0.4462408996 1.827685992 0.5258486139 +-45 65 1.62493196249263 -0.5912115780 1.791211578 0.5088403155 + +45 70 1.11712278014871 1.264995714 1.464995714 0.2784356691 +40 70 1.11448627652675 1.190057684 1.522378724 0.2993213770 +35 70 1.11538568127122 1.113089729 1.575582874 0.3186861038 +30 70 1.11972046405494 1.033962176 1.624849618 0.3366177320 +25 70 1.12742168861238 0.9524862365 1.670359866 0.3531821076 +20 70 1.13845743680212 0.8684225604 1.712232666 0.3684225604 +15 70 1.15282960303613 0.7814851188 1.750516765 0.3823568331 +10 70 1.17057297140235 0.6913470797 1.785183214 0.3949743887 +5 70 1.19175864414926 0.5976479597 1.816121287 0.4062349262 +0 70 1.21648494347113 0.5000000000 1.843121925 0.4160623547 +-5 70 1.24488347675617 0.3979992030 1.865874445 0.4243435949 +-10 70 1.27710677861618 0.2912384289 1.883945703 0.4309209947 +-15 70 1.31332918422410 0.1793258774 1.896772118 0.4355894283 +-20 70 1.35373099452142 0.06191156295 1.903638089 0.4380884371 +-25 70 1.39849417015866 -0.06128010501 1.903669070 0.4380997132 +-30 70 1.44777686257173 -0.1904027462 1.895812634 0.4352402046 +-35 70 1.50170763447585 -0.3254378211 1.878847379 0.4290653567 +-40 70 1.56034545821038 -0.4661208004 1.851377935 0.4190672967 +-45 70 1.62366553880099 -0.6118716759 1.811871676 0.4046881943 + +45 75 1.11065917035296 1.271626672 1.471626672 0.2067567436 +40 75 1.10693860944026 1.196994982 1.530646273 0.2225709981 +35 75 1.10682663738709 1.120088568 1.585578252 0.2372899774 +30 75 1.11026061372771 1.040761840 1.636626982 0.2509684434 +25 75 1.11720637966386 0.9588166148 1.683935406 0.2636446973 +20 75 1.12766167379326 0.8740094332 1.727582472 0.2753398936 +15 75 1.14165333596405 0.7860558646 1.767575020 0.2860558646 +10 75 1.15923512619746 0.6946366418 1.803839248 0.2957728351 +5 75 1.18049113176689 0.5994061005 1.836216927 0.3044484081 +0 75 1.20552567529851 0.5000000000 1.864448384 0.3120130041 +-5 75 1.23446924305955 0.3960485426 1.888170595 0.3183693514 +-10 75 1.26746420920542 0.2871915958 1.906896434 0.3233869248 +-15 75 1.30466550523809 0.1730993487 1.920009840 0.3269006513 +-20 75 1.34622227489030 0.05350098202 1.926745970 0.3287055919 +-25 75 1.39227497043357 -0.07178234959 1.926191206 0.3285569433 +-30 75 1.44292738350248 -0.2027900093 1.917268003 0.3261659784 +-35 75 1.49824380644382 -0.3393761268 1.898753342 0.3212049900 +-40 75 1.55821199533706 -0.4811437886 1.869281635 0.3133080698 +-45 75 1.62273074678238 -0.6273866538 1.827386654 0.3020823434 + +45 80 1.10619465197521 1.276187853 1.476187853 0.1368628605 +40 80 1.10170014044443 1.201786071 1.536356071 0.1474721408 +35 80 1.10085828351471 1.124941101 1.592508388 0.1573733093 +30 80 1.10363474960363 1.045494001 1.644823324 0.1665978441 +25 80 1.11002213728212 0.9632378048 1.693416678 0.1751661635 +20 80 1.12004162372554 0.8779241162 1.738337976 0.1830870002 +15 80 1.13374026882050 0.7892679543 1.779562703 0.1903560318 +10 80 1.15118764579685 0.6969542420 1.816983012 0.1969542420 +5 80 1.17247897473134 0.6006473337 1.850404289 0.2028473148 +0 80 1.19772429323695 0.5000000000 1.879528170 0.2079826409 +-5 80 1.22705365144136 0.3946678951 1.903951468 0.2122891273 +-10 80 1.26060170873495 0.2843263391 1.923146112 0.2156736609 +-15 80 1.29850819145672 0.1686923641 1.936456930 0.2180207173 +-20 80 1.34089788939413 0.04755462737 1.943083445 0.2191891506 +-25 80 1.38787894448412 -0.07919385027 1.942085220 0.2190131367 +-30 80 1.43951374188850 -0.2115090480 1.932369821 0.2173000497 +-35 80 1.49581770728119 -0.3491537729 1.912717268 0.2138347744 +-40 80 1.55672732844672 -0.4916396623 1.881790130 0.2083814855 +-45 80 1.62208704059263 -0.6381760477 1.838176048 0.2006911460 + +45 85 1.10357452760012 1.278856062 1.478856062 0.06814107597 +40 85 1.09861625988089 1.204596272 1.539705139 0.07346468036 +35 85 1.09733409540624 1.127794839 1.596583949 0.07844093140 +30 85 1.09971108932807 1.048284030 1.649655797 0.08308411646 +25 85 1.10575660515794 0.9658507881 1.699020239 0.08740294555 +20 85 1.11550675490671 0.8802429346 1.744708877 0.09140018341 +15 85 1.12902167699999 0.7911744469 1.786677830 0.09507199099 +10 85 1.14638131565312 0.6983322317 1.824797980 0.09840707197 +5 85 1.16768822007948 0.6013863908 1.858851750 0.1013863908 +0 85 1.19305640160267 0.5000000000 1.888516462 0.1039817168 +-5 85 1.22261593005398 0.3938444232 1.913363795 0.1061555768 +-10 85 1.25649668843251 0.2826170151 1.932840170 0.1078595389 +-15 85 1.29482873917667 0.1660639476 1.946266314 0.1090341742 +-20 85 1.33772140572309 0.04401072803 1.952820228 0.1096075674 +-25 85 1.38526234446166 -0.08360542632 1.951545876 0.1094960760 +-30 85 1.43748801291722 -0.2166897999 1.941343147 0.1086034529 +-35 85 1.49438346644414 -0.3549504041 1.920995716 0.1068232833 +-40 85 1.55585416745037 -0.4978452775 1.889185694 0.1040402671 +-45 85 1.62171201313698 -0.6445355082 1.844535508 0.1001338820 + +45 90 1.10271032082901 1.279733946 1.479733946 0.000000000 +40 90 1.09759748967555 1.205522067 1.540808458 0.000000000 +35 90 1.09616806833697 1.128736174 1.597928314 0.000000000 +30 90 1.09841097208925 1.049205486 1.651251806 0.000000000 +25 90 1.10434126697718 0.9667147866 1.700873090 0.000000000 +20 90 1.11400018858415 0.8810105042 1.746817757 0.000000000 +15 90 1.12745239431957 0.7918061521 1.789035386 0.000000000 +10 90 1.14478144126917 0.6987892111 1.827389639 0.000000000 +5 90 1.16609246245372 0.6016316547 1.861655129 0.000000000 +0 90 1.19150089122853 0.5000000000 1.891500891 0.000000000 +-5 90 1.22113683680900 0.3935709120 1.916490042 0.000000000 +-10 90 1.25512856415153 0.2820492121 1.936060341 0.000000000 +-15 90 1.29360282575092 0.1651909519 1.949524378 0.000000000 +-20 90 1.33666364622774 0.04283410814 1.956052965 0.000000000 +-25 90 1.38439167019678 -0.08506920123 1.954684951 0.000000000 +-30 90 1.43681453234636 -0.2184072662 1.944317886 0.000000000 +-35 90 1.49390700901528 -0.3568698585 1.923736980 0.000000000 +-40 90 1.55556417826607 -0.4998973799 1.891631295 0.000000000 +-45 90 1.62158710910930 -0.6466352411 1.846635241 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 1.62158710918913 -0.6466352412 1.846635241 1.404223178e-16 +-90 40 1.69168234092977 -0.7959038568 1.787392448 1.587024510e-16 +-90 35 1.76543892080011 -0.9461629010 1.712614165 1.771038768e-16 +-90 30 1.84232276709348 -1.095498318 1.621161384 1.953921909e-16 +-90 25 1.92170150237242 -1.241653036 1.512146149 2.132909816e-16 +-90 20 2.00282714566407 -1.382041889 1.385007227 2.304836576e-16 +-90 15 2.08485593756373 -1.513816194 1.239600423 2.466213556e-16 +-90 10 2.16688088946636 -1.633961100 1.076274918 2.613348630e-16 +-90 5 2.24793114293496 -1.739377086 0.8959201084 2.742445981e-16 +-90 -2.84217e-14 2.32702528773007 -1.827025288 0.7000000000 2.849784070e-16 +-90 -5 2.40316220747399 -1.894017450 0.4905506129 2.931825807e-16 +-90 -10 2.47535296438932 -1.937746791 0.2701594687 2.985378804e-16 +-90 -15 2.54265341975073 -1.956014605 0.04191286987 3.007750425e-16 +-90 -20 2.60417704625428 -1.947125954 -0.1906810066 2.996864966e-16 +-90 -25 2.65910915396901 -1.909971333 -0.4237880884 2.951363679e-16 +-90 -30 2.70671666739306 -1.844085395 -0.6533583337 2.870676676e-16 +-90 -35 2.74636345791541 -1.749689241 -0.8752493651 2.755074728e-16 +-90 -40 2.77751995765944 -1.627703729 -1.085355414 2.605685562e-16 +-90 -45 2.79977181446485 -1.479737636 -1.279737636 2.424479359e-16 + +-85 45 1.62171201294358 -0.6445355081 1.844535508 0.1001338820 +-85 40 1.69166901758764 -0.7929930306 1.784949975 0.1131222322 +-85 35 1.76522202041240 -0.9422861148 1.709899610 0.1261836846 +-85 30 1.84183615621883 -1.090518091 1.618286048 0.1391523021 +-85 25 1.92088337681749 -1.235464533 1.509260402 0.1518334726 +-85 20 2.00162380783148 -1.374586730 1.382293771 0.1640050877 +-85 15 2.08323053193165 -1.505099175 1.237264705 0.1754234470 +-85 10 2.16481517423060 -1.624057415 1.074528631 0.1858309445 +-85 5 2.24542958982840 -1.728437322 0.8949630030 0.1949630030 +-85 -2.84217e-14 2.32411701436889 -1.815273047 0.7000000000 0.2025601446 +-85 -5 2.39990250185818 -1.881741262 0.4916246402 0.2083753598 +-85 -10 2.47181836900921 -1.925280550 0.2723576033 0.2121845540 +-85 -15 2.53893735799173 -1.943714761 0.04520860328 0.2137973385 +-85 -20 2.60038448482817 -1.935345857 -0.1863934023 0.2130651543 +-85 -25 2.65535028342116 -1.899034889 -0.4186883411 0.2098883562 +-85 -30 2.70310109523050 -1.834263653 -0.6476877482 0.2042216073 +-85 -35 2.74299213378915 -1.741179535 -0.8692908052 0.1960778023 +-85 -40 2.77447745338877 -1.620615779 -1.079407918 0.1855298403 +-85 -45 2.79712208931928 -1.474090052 -1.274090052 0.1727105003 + +-80 45 1.62208703586224 -0.6381760444 1.838176044 0.2006911454 +-80 40 1.69162528576791 -0.7841979646 1.777570038 0.2264387497 +-80 35 1.76456472301402 -0.9306008681 1.701717512 0.2522535317 +-80 30 1.84036959472611 -1.075543103 1.609640235 0.2778107584 +-80 25 1.91842565638512 -1.216899131 1.500603213 0.3027356400 +-80 20 1.99801823243782 -1.352268847 1.374170726 0.3266049732 +-80 15 2.07837036745947 -1.479052163 1.230285429 0.3489602925 +-80 10 2.15864745037330 -1.594508693 1.069318394 0.3693183938 +-80 5 2.23796950677546 -1.695834445 0.8921106209 0.3871848578 +-80 -2.84217e-14 2.31544854119566 -1.780271675 0.7000000000 0.4020734197 +-80 -5 2.39018430030801 -1.845183435 0.4948230355 0.4135191143 +-80 -10 2.46127392724712 -1.888143388 0.2789058869 0.4210941131 +-80 -15 2.52784079359795 -1.907043936 0.05503452124 0.4244267896 +-80 -20 2.58904515223104 -1.900182141 -0.1735948560 0.4232168700 +-80 -25 2.64409409806372 -1.866337650 -0.4034413680 0.4172491732 +-80 -30 2.69225345602392 -1.804842124 -0.6307012206 0.4064058527 +-80 -35 2.73285455386967 -1.715630884 -0.8514014468 0.3906755041 +-80 -40 2.76530494943128 -1.599282280 -1.061506987 0.3701601062 +-80 -45 2.78911225361696 -1.457047114 -1.257047114 0.3450802087 + +-75 45 1.62273073688684 -0.6273866469 1.827386647 0.3020823416 +-75 40 1.69156178923301 -0.7693472650 1.765108822 0.3401205746 +-75 35 1.76347286129315 -0.9109646090 1.687968055 0.3780668275 +-75 30 1.83793030647405 -1.050496428 1.595179530 0.4154542658 +-75 25 1.91434438120975 -1.185983225 1.486186889 0.4517578436 +-75 20 1.99204683844783 -1.315254045 1.360698440 0.4863958555 +-75 15 2.07034049985767 -1.436002578 1.218750327 0.5187503273 +-75 10 2.14847606717822 -1.545807751 1.060731104 0.5481725348 +-75 5 2.22568677312777 -1.642212609 0.8874193181 0.5740041385 +-75 -2.84217e-14 2.30118828159860 -1.722777192 0.7000000000 0.5955913536 +-75 -5 2.37419213283590 -1.785148289 0.5000754302 0.6123036387 +-75 -10 2.44390189381110 -1.827116189 0.2896666287 0.6235489035 +-75 -15 2.50952433822218 -1.846689150 0.07120653737 0.6287934626 +-75 -20 2.57028007967759 -1.842169482 -0.1524799752 0.6275824213 +-75 -25 2.62540862227818 -1.812224979 -0.3782082150 0.6195588158 +-75 -30 2.67417714851701 -1.755962646 -0.6024806408 0.6044833691 +-75 -35 2.71588596104507 -1.672995716 -0.8215479810 0.5822524473 +-75 -40 2.74987948144249 -1.563508422 -1.031489156 0.5529154153 +-75 -45 2.77557532269327 -1.428321492 -1.228321492 0.5166921866 + +-70 45 1.62366549609847 -0.6118716466 1.811871647 0.4046881837 +-70 40 1.69148554339983 -0.7481461214 1.747318950 0.4542880362 +-70 35 1.76194874188457 -0.8831378415 1.668483543 0.5034210042 +-70 30 1.83453118477261 -1.015258066 1.574834652 0.5515088332 +-70 25 1.90867384778500 -1.142775296 1.466038701 0.5979213094 +-70 20 1.98378227524129 -1.263833373 1.341982846 0.6419828459 +-70 15 2.05925959814363 -1.376501719 1.202807120 0.6829907702 +-70 10 2.13447668725867 -1.478773070 1.048911081 0.7202144979 +-70 5 2.20880617496214 -1.568619852 0.8809807862 0.7529160521 +-70 -2.84217e-14 2.28160670811020 -1.644008987 0.7000000000 0.7803554533 +-70 -5 2.35222625841954 -1.702937492 0.5072679430 0.8018036749 +-70 -10 2.42000083326197 -1.743469093 0.3044158684 0.8165559715 +-70 -15 2.48425348570018 -1.763777690 0.09342259619 0.8239476961 +-70 -20 2.54429169895722 -1.762197150 -0.1233724265 0.8233724265 +-70 -25 2.59940837922825 -1.737283166 -0.3432622739 0.8143044782 +-70 -30 2.64888352981414 -1.687884386 -0.5631756390 0.7963247924 +-70 -35 2.69198928384347 -1.613223931 -0.7796953267 0.7691506094 +-70 -40 2.72800749185858 -1.512995017 -0.9891033763 0.7326702679 +-70 -45 2.75624339671885 -1.387450889 -1.187450889 0.6869759422 + +-65 45 1.62493190154190 -0.5912115371 1.791211537 0.5088402964 +-65 40 1.69141794288820 -0.7201893584 1.723860441 0.5689836422 +-65 35 1.76000109705901 -0.8467993516 1.643039058 0.6280228517 +-65 30 1.83018231924467 -0.9696698903 1.548514307 0.6853183248 +-65 25 1.90145446775520 -1.087366761 1.440201277 0.7402012768 +-65 20 1.97332033030550 -1.198415837 1.318172810 0.7919843113 +-65 15 2.04529011069960 -1.301308506 1.182659159 0.8399639510 +-65 10 2.11688914652296 -1.394514455 1.034054014 0.8834265987 +-65 5 2.18763811302519 -1.476469994 0.8729187183 0.9216430943 +-65 -2.84217e-14 2.25706659519642 -1.545597031 0.7000000000 0.9538775611 +-65 -5 2.32468358414077 -1.600286753 0.5162487189 0.9793797973 +-65 -10 2.38997245803713 -1.638910947 0.3228522908 0.9973905545 +-65 -15 2.45239238589616 -1.659847760 0.1212705369 1.007153551 +-65 -20 2.51136387844396 -1.661504200 -0.08672319014 1.007925962 +-65 -25 2.56625920325849 -1.642357142 -0.2989975416 0.9989975416 +-65 -30 2.61639681205810 -1.601014514 -0.5130212952 0.9797191577 +-65 -35 2.66104584611868 -1.536302606 -0.7258344347 0.9495434994 +-65 -40 2.69943201632525 -1.447370982 -0.9340382726 0.9080740021 +-65 -45 2.73074684372291 -1.333813748 -1.133813748 0.8551213944 + +-60 45 1.62658077954827 -0.5648470780 1.764847078 0.6147897471 +-60 40 1.69138122822897 -0.6849528267 1.694293480 0.6841328334 +-60 35 1.75764551921727 -0.8015583723 1.611360984 0.7514550766 +-60 30 1.82491025344322 -0.9135694040 1.516124676 0.8161246759 +-60 25 1.89274664088797 -1.019910185 1.408745759 0.8775205547 +-60 20 1.96077141110993 -1.119528041 1.289460001 0.9350349505 +-60 15 2.02863114043634 -1.211373563 1.158561164 0.9880619873 +-60 10 2.09599792068779 -1.294386887 1.016398822 1.035989752 +-60 5 2.16256202548717 -1.367480999 0.8633834167 1.078190657 +-60 -2.84217e-14 2.22801835059616 -1.429520492 0.7000000000 1.114009175 +-60 -5 2.29204821725920 -1.479298833 0.5268337904 1.142748714 +-60 -10 2.35430192771145 -1.515521326 0.3446092101 1.163661780 +-60 -15 2.41438759043813 -1.536801571 0.1542406640 1.175947935 +-60 -20 2.47185787712064 -1.541667439 -0.04310617610 1.178757246 +-60 -25 2.52619354274001 -1.528579638 -0.2459422204 1.171201000 +-60 -30 2.57678868693023 -1.495971934 -0.4523749335 1.152374934 +-60 -35 2.62294196050431 -1.442321151 -0.6600279119 1.121399640 +-60 -40 2.66385164232692 -1.366249004 -0.8659688513 1.077479365 +-60 -45 2.69862193742937 -1.266662757 -1.066662757 1.019983218 + +-55 45 1.62868173005480 -0.5320748861 1.732074886 0.7226666152 +-55 40 1.69141433498972 -0.6418109636 1.658093158 0.7995046439 +-55 35 1.75490196621869 -0.7469715216 1.573138859 0.8731388593 +-55 30 1.81874877378985 -0.8468060924 1.477578860 0.9430437784 +-55 25 1.88263110578189 -0.9406390751 1.371781033 1.008746340 +-55 20 1.94628586678835 -1.027843330 1.256089495 1.069807417 +-55 15 2.00950941237670 -1.107819845 1.130814029 1.125807576 +-55 10 2.07213101001486 -1.179956752 0.9962217019 1.176318382 +-55 5 2.13399560718341 -1.243594969 0.8525447935 1.220878341 +-55 -2.84217e-14 2.19496562647141 -1.298010580 0.7000000000 1.258980562 +-55 -5 2.25488671877508 -1.342369836 0.5388135253 1.290041248 +-55 -10 2.31357133897643 -1.375701765 0.3692631710 1.313380515 +-55 -15 2.37078730442069 -1.396880329 0.1917324476 1.328209906 +-55 -20 2.42623837955838 -1.404608253 0.006779287957 1.333621056 +-55 -25 2.47954116684010 -1.397410429 -0.1847770135 1.328581085 +-55 -30 2.53020087574934 -1.373645224 -0.3817495747 1.311940510 +-55 -35 2.57759331789976 -1.331547017 -0.5824630280 1.282463028 +-55 -40 2.62094518780772 -1.269302700 -0.7846212434 1.238879088 +-55 -45 2.65932040013926 -1.185177496 -0.9851774957 1.179973986 + +-50 45 1.63132388120579 -0.4920413351 1.692041335 0.8324215184 +-50 40 1.69156299810559 -0.5900440038 1.614655522 0.9146555216 +-50 35 1.75180480809433 -0.6825783279 1.528050260 0.9923010388 +-50 30 1.81174970878980 -0.7692809302 1.432819687 1.065053160 +-50 25 1.87119926069553 -0.8498836494 1.329461083 1.132686872 +-50 20 1.93003551208631 -0.9241719937 1.218356214 1.195022195 +-50 15 1.98819053672060 -0.9919373541 1.099763409 1.251884084 +-50 10 2.04564420772781 -1.052951561 0.9738272599 1.303081082 +-50 5 2.10239421176663 -1.106922533 0.8405875048 1.348368105 +-50 -2.84217e-14 2.15844682826419 -1.153466199 0.7000000000 1.387422877 +-50 -5 2.21379532222975 -1.192069721 0.5519630815 1.419815079 +-50 -10 2.26840447478917 -1.222060100 0.3963543419 1.444979995 +-50 -15 2.32220060780247 -1.242578373 0.2330775322 1.462196870 +-50 -20 2.37504536208001 -1.252544483 0.06212597403 1.470559429 +-50 -25 2.42670966131415 -1.250629002 -0.1163317101 1.468952150 +-50 -30 2.47684858727327 -1.235237855 -0.3018400428 1.456037444 +-50 -35 2.52496978091873 -1.204513270 -0.4935130405 1.430256456 +-50 -40 2.57039614335168 -1.156364502 -0.6898548430 1.389854843 +-50 -45 2.61223469705294 -1.088553215 -0.8885532152 1.332954417 + +-45 45 1.63462115018513 -0.4437489611 1.643748961 0.9437489611 +-45 40 1.69189384734877 -0.5288751673 1.563328773 1.028875167 +-45 35 1.74839973656387 -0.6079386633 1.475787004 1.107938663 +-45 30 1.80397950034354 -0.6809818018 1.381840161 1.180981802 +-45 25 1.85857514754055 -0.7481130081 1.282004654 1.248113008 +-45 20 1.91220887213734 -0.8094635764 1.176605765 1.309463576 +-45 15 1.96495580083395 -0.8651463433 1.065789860 1.365146343 +-45 10 2.01692468617295 -0.9152232959 0.9495420508 1.415223296 +-45 5 2.06823692955749 -0.9596738423 0.8277049136 1.459673842 +-45 -2.84217e-14 2.11902182299518 -0.9983747005 0.7000000000 1.498374701 +-45 -5 2.16940009053720 -1.031070508 0.5660486875 1.531070508 +-45 -10 2.21946947982409 -1.057343680 0.4253982910 1.557343680 +-45 -15 2.26929726674046 -1.076586539 0.2775549100 1.576586539 +-45 -20 2.31889601200854 -1.087959302 0.1220300810 1.587959302 +-45 -25 2.36820239523795 -1.090349585 -0.04159219080 1.590349585 +-45 -30 2.41705071784500 -1.082331125 -0.2135593008 1.582331125 +-45 -35 2.46513461985698 -1.062124438 -0.3938113070 1.562124438 +-45 -40 2.51195526270333 -1.027571245 -0.5817844684 1.527571245 +-45 -45 2.55676102504829 -0.9761466661 -0.7761466661 1.476146666 + + +### -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 2.79977180217241 -1.479737627 -1.279737627 2.424479348e-16 +-40 -90 2.81281810881004 -1.308044629 -1.454743682 2.638799953e-16 +-35 -90 2.81648574818335 -1.115469858 -1.607130058 2.825419441e-16 +-30 -90 2.81072543282308 -0.9053627164 -1.734159628 2.980985797e-16 +-25 -90 2.79563079386786 -0.6814846266 -1.833701958 3.102889993e-16 +-20 -90 2.77139973420715 -0.4478745343 -1.904263879 3.189303424e-16 +-15 -90 2.73834937878999 -0.2087369714 -1.945042386 3.239242692e-16 +-10 -90 2.69691766941083 0.03168516139 -1.955945430 3.252595070e-16 +-5 -90 2.64765037771786 0.2692420648 -1.937575269 3.230098110e-16 +-2.84217e-14 -90 2.59120129640000 0.5000000000 -1.891201296 3.173306374e-16 +5 -90 2.52832294179988 0.7203578639 -1.818701910 3.084520232e-16 +10 -90 2.45985112888586 0.9271486659 -1.722480463 2.966682945e-16 +15 -90 2.38669052127471 1.117720962 -1.605366014 2.823259110e-16 +20 -90 2.30980592861969 1.290000155 -1.470507587 2.658105168e-16 +25 -90 2.23018593971664 1.442517305 -1.321234884 2.475298831e-16 +30 -90 2.14882525880211 1.574412629 -1.160937262 2.278990862e-16 +35 -90 2.06671433414766 1.685418643 -0.9929532718 2.073269805e-16 +40 -90 1.98480463630997 1.775807828 -0.8204485623 1.862012465e-16 +45 -90 1.90399610538476 1.846328557 -0.6463285575 1.648776959e-16 + +-45 -85 2.79712207068566 -1.474090039 -1.274090039 0.1727104992 +-40 -85 2.80967008489141 -1.301978671 -1.447514555 0.1878831783 +-35 -85 2.81287302998279 -1.109270303 -1.598276175 0.2010731110 +-30 -85 2.80671107446701 -0.8993446765 -1.723736077 0.2120494301 +-25 -85 2.79129885450866 -0.6759629246 -1.821860630 0.2206342161 +-20 -85 2.76685419355002 -0.4431379538 -1.891250232 0.2267050196 +-15 -85 2.73370580055578 -0.2050221360 -1.931178432 0.2301982845 +-10 -85 2.69229599600227 0.03421338444 -1.941607165 0.2311106804 +-5 -85 2.64316939334342 0.2705026046 -1.923167233 0.2294973954 +-2.84217e-14 -85 2.58697152580328 0.5000000000 -1.877127318 0.2254694248 +5 -85 2.52443956274676 0.7191884886 -1.805335889 0.2191884886 +10 -85 2.45638910541001 0.9249730229 -1.710141778 0.2108600831 +15 -85 2.38369994613317 1.114755702 -1.594299513 0.2007251981 +20 -85 2.30731128631383 1.286493502 -1.460873138 0.1890519029 +25 -85 2.22818462363390 1.438725175 -1.313102635 0.1761236591 +30 -85 2.14728994883077 1.570576443 -1.154292793 0.1622295982 +35 -85 2.06559992304119 1.681748546 -0.9877118308 0.1476556525 +40 -85 1.98405171642877 1.772469282 -0.8164698384 0.1326739194 +45 -85 1.90353607647978 1.843434971 -0.6434349706 0.1175353301 + +-45 -80 2.78911222202595 -1.457047092 -1.257047092 0.3450802048 +-40 -80 2.80017918649555 -1.283721974 -1.425757070 0.3748283260 +-35 -80 2.80200904004964 -1.090659434 -1.571697101 0.4005614908 +-30 -80 2.79466642907553 -0.8813209229 -1.692518020 0.4218654787 +-25 -80 2.77832614320260 -0.6594594922 -1.786468905 0.4384315547 +-20 -80 2.75326285843309 -0.4290051463 -1.852420662 0.4500606288 +-15 -80 2.71983844004213 -0.1939526833 -1.889866672 0.4566633707 +-10 -80 2.67850725624652 0.04173989943 -1.898922177 0.4582601006 +-5 -80 2.62980889464482 0.2742533050 -1.880296531 0.4549758966 +-2.84217e-14 -80 2.57436320291489 0.5000000000 -1.835252841 0.4470334788 +5 -80 2.51286258873166 0.7157078507 -1.765552015 0.4347433426 +10 -80 2.44606188227461 0.9184915167 -1.673383330 0.4184915167 +15 -80 2.37477038804316 1.105910358 -1.561288241 0.3987261280 +20 -80 2.29984890829805 1.276014344 -1.432081888 0.3759435619 +25 -80 2.22218433889525 1.427368708 -1.288748612 0.3506700381 +30 -80 2.14267520988172 1.559060955 -1.134347383 0.3234449356 +35 -80 2.06224092980191 1.670703928 -0.9719384820 0.2948078645 +40 -80 1.98177527095891 1.762396391 -0.8044654337 0.2652778475 +45 -80 1.90214062517570 1.834682323 -0.6346823227 0.2353405042 + +-45 -75 2.77557526129963 -1.428321450 -1.228321450 0.5166921752 +-40 -75 2.78421524943660 -1.253109016 -1.389273968 0.5598192726 +-35 -75 2.78382604945323 -1.059610737 -1.527354965 0.5968179642 +-30 -75 2.77459493956261 -0.8513899768 -1.640676101 0.6271822709 +-25 -75 2.75679267708874 -0.6321652890 -1.727936297 0.6505635702 +-20 -75 2.73077389757608 -0.4057106589 -1.788419584 0.6667700179 +-15 -75 2.69695074126436 -0.1757555483 -1.821954040 0.6757555483 +-10 -75 2.65579330503097 0.05408986623 -1.828882035 0.6776118990 +-5 -75 2.60782728544838 0.2804016192 -1.810020978 0.6725580941 +-2.84217e-14 -75 2.55362850559385 0.5000000000 -1.766615724 0.6609276914 +5 -75 2.49381614782095 0.7099977982 -1.700285817 0.6431546464 +10 -75 2.42904885837420 0.9078395330 -1.612972929 0.6197592284 +15 -75 2.36002837880861 1.091335335 -1.506893516 0.5913353354 +20 -75 2.28749195869420 1.258688169 -1.384478614 0.5585343611 +25 -75 2.21221300737225 1.408516190 -1.248319256 0.5220505713 +30 -75 2.13497834965782 1.539859297 -1.101089135 0.4826003791 +35 -75 2.05661716571690 1.652199224 -0.9455110248 0.4409133502 +40 -75 1.97794871185018 1.745435216 -0.7842518929 0.3977040961 +45 -75 1.89978697420702 1.819870523 -0.6198705232 0.3536582408 + +-45 -70 2.75624320911725 -1.387450761 -1.187450761 0.6869758955 +-40 -70 2.76157510928239 -1.209887475 -1.337764541 0.7416856373 +-35 -70 2.75822087033574 -1.016100586 -1.465216031 0.7880741859 +-30 -70 2.74650877331681 -0.8097302828 -1.568519394 0.8256735353 +-25 -70 2.72683425237749 -0.5944041442 -1.646957261 0.8542225842 +-20 -70 2.69963669721099 -0.3736444878 -1.700318503 0.8736444878 +-15 -70 2.66538220915439 -0.1508034023 -1.728831363 0.8840223202 +-10 -70 2.62455353721312 0.07097877097 -1.733100296 0.8855760849 +-5 -70 2.57764832421126 0.2887977562 -1.714052693 0.8786433242 +-2.84217e-14 -70 2.52517685467952 0.5000000000 -1.672890057 0.8636613498 +5 -70 2.46766196372943 0.7021903992 -1.611046838 0.8411522590 +10 -70 2.40564393615634 0.8932372891 -1.530159489 0.8117116715 +15 -70 2.33968416070603 1.071278073 -1.432038793 0.7759986591 +20 -70 2.27037216072899 1.234727797 -1.318648032 0.7347277971 +25 -70 2.19833091778593 1.382291421 -1.192080058 0.6886608219 +30 -70 2.12420850273558 1.512973354 -1.054521315 0.6385935342 +35 -70 2.04870259547609 1.626102423 -0.9082409314 0.5853518286 +40 -70 1.97252643462561 1.721331346 -0.7555260187 0.5297681460 +45 -70 1.89642687924829 1.798656208 -0.5986562085 0.4726722044 + +-45 -65 2.73074664091869 -1.333813612 -1.133813612 0.8551213309 +-40 -65 2.73199999660521 -1.153752541 -1.270865532 0.9190296906 +-35 -65 2.72506966945822 -0.9601395077 -1.385295327 0.9723891807 +-30 -65 2.71044329253910 -0.7566233906 -1.476535559 1.014935199 +-25 -65 2.68864549778279 -0.5466402767 -1.544527317 1.046640277 +-20 -65 2.66019667023771 -0.3333473412 -1.589603002 1.067659414 +-15 -65 2.62559739240664 -0.1196033628 -1.612391231 1.078285740 +-10 -65 2.58532558494992 0.09202474545 -1.613742644 1.078915914 +-5 -65 2.53983293467773 0.2992425470 -1.594668188 1.070021349 +-2.84217e-14 -65 2.48954784509091 0.5000000000 -1.556296598 1.052128383 +5 -65 2.43488285763072 0.6924618246 -1.499848722 1.025806306 +10 -65 2.37624125747534 0.8749808680 -1.426622179 0.9916602082 +15 -65 2.31402995105657 1.046077911 -1.337990509 0.9503305816 +20 -65 2.24867866743826 1.204433025 -1.235413831 0.9024982910 +25 -65 2.18063188352067 1.348879914 -1.120428849 0.8488799136 +30 -65 2.11037904565066 1.478419906 -0.9946729886 0.7902389926 +35 -65 2.03845330529889 1.592238572 -0.8598783402 0.7273832158 +40 -65 1.96544384851488 1.689735638 -0.7178717204 0.6611644415 +45 -65 1.89200122578922 1.770560055 -0.5705600547 0.5924718837 + +-45 -60 2.69862200169340 -1.266662799 -1.066662799 1.019983243 +-40 -60 2.69518429014705 -1.084388027 -1.188200123 1.090152849 +-35 -60 2.68425027342097 -0.8918170319 -1.287720720 1.147611093 +-30 -60 2.66648419444235 -0.6924879839 -1.365449776 1.192487984 +-25 -60 2.64250839642118 -0.4894967340 -1.421982594 1.225127222 +-20 -60 2.61289840619873 -0.2855067078 -1.458161942 1.246015378 +-15 -60 2.57816628125175 -0.08278062863 -1.474966916 1.255717734 +-10 -60 2.53875748087228 0.1167649459 -1.473433995 1.254832702 +-5 -60 2.49505644512730 0.3114963446 -1.454606641 1.243962724 +-2.84217e-14 -60 2.44739464910003 0.5000000000 -1.419505939 1.223697325 +5 -60 2.39606178866825 0.6810245242 -1.369119780 1.194606862 +10 -60 2.34132319531035 0.8534316011 -1.304410214 1.157246777 +15 -60 2.28343553766392 1.016158328 -1.226329106 1.112166628 +20 -60 2.22265141895635 1.168188091 -1.135831693 1.059917922 +25 -60 2.15923977671848 1.308535068 -1.033909050 1.001072857 +30 -60 2.09351005729061 1.436246160 -0.9216259174 0.9362461599 +35 -60 2.02582963847462 1.550417773 -0.8001520488 0.8661131892 +40 -60 1.95663151698651 1.650223218 -0.6707826527 0.7914217335 +45 -60 1.88643227752573 1.734959815 -0.5349598150 0.7130043816 + +-45 -55 2.65932008767895 -1.185177298 -0.9851772977 1.179973847 +-40 -55 2.65078724744262 -1.001525128 -1.089447966 1.252984955 +-35 -55 2.63567743464989 -0.8113623628 -1.172819545 1.311362363 +-30 -55 2.61478109367490 -0.6179105830 -1.236277928 1.355796401 +-25 -55 2.58879286755956 -0.4237614009 -1.281012717 1.387120038 +-20 -55 2.55829749683725 -0.2309524189 -1.308275266 1.406209480 +-15 -55 2.52377395738505 -0.04106600359 -1.319285816 1.413919150 +-10 -55 2.48560545493792 0.1446700163 -1.315176477 1.411041760 +-5 -55 2.44408974835257 0.3252886909 -1.296959400 1.398286026 +-2.84217e-14 -55 2.39945248786099 0.5000000000 -1.265516411 1.376269407 +5 -55 2.35186376740126 0.6681187026 -1.221605564 1.345522701 +10 -55 2.30145381841971 0.8290045676 -1.165877623 1.306501577 +15 -55 2.24832902598179 0.9820140081 -1.098900768 1.259603878 +20 -55 2.19258086742842 1.126460484 -1.021186035 1.205187436 +25 -55 2.13430971978419 1.261587751 -0.9332302017 1.143600099 +30 -55 2.07365524257121 1.386560312 -0.8355675036 1.075215941 +35 -55 2.01079970465407 1.500458940 -0.7288034406 1.000458940 +40 -55 1.94600567075143 1.602305142 -0.6136761136 0.9198459175 +45 -55 1.87963275708242 1.691099358 -0.4910993584 0.8340167495 + +-45 -50 2.61223429043387 -1.088552968 -0.8885529679 1.332954209 +-40 -50 2.59848264104539 -0.9050416674 -0.9744634549 1.405041667 +-35 -50 2.57931216863270 -0.7191998225 -1.041197796 1.461038429 +-30 -50 2.55558160371873 -0.5336861108 -1.090396863 1.502321347 +-25 -50 2.52798203004630 -0.3503991749 -1.123686916 1.530255018 +-20 -50 2.49705140692940 -0.1706416052 -1.142572667 1.546102045 +-15 -50 2.46319493453991 0.004727949204 -1.148380457 1.550975360 +-10 -50 2.42670553952950 0.1751643683 -1.142234413 1.545818216 +-5 -50 2.38777897126863 0.3403287615 -1.125050608 1.531399292 +-2.84217e-14 -50 2.34653059477544 0.5000000000 -1.097546723 1.508320792 +5 -50 2.30301541080693 0.6540030830 -1.060263293 1.477036280 +10 -50 2.25724401967988 0.8021517342 -1.013587637 1.437870754 +15 -50 2.20918995648226 0.9441995333 -0.9577752270 1.391038582 +20 -50 2.15880598641425 1.079797880 -0.8929815832 1.336670259 +25 -50 2.10605103986459 1.208463923 -0.8193057860 1.274848925 +30 -50 2.05089387885529 1.329549138 -0.7368212549 1.205636185 +35 -50 1.99334545693353 1.442222681 -0.6456334441 1.129120527 +40 -50 1.93349010712860 1.545469429 -0.5459419484 1.045469429 +45 -50 1.87150695831608 1.638101565 -0.4381015646 0.9549806031 + +-45 -45 2.55676096271470 -0.9761466301 -0.7761466301 1.476146630 +-40 -45 2.53801766508832 -0.7950834245 -0.8434203238 1.543420324 +-35 -45 2.51523865874036 -0.6160431007 -0.8938747297 1.593874730 +-30 -45 2.48924985950605 -0.4408480113 -0.9295965578 1.629596558 +-25 -45 2.46066153642416 -0.2705453652 -0.9524398683 1.652439868 +-20 -45 2.42990718757398 -0.1056387407 -0.9639787643 1.663978764 +-15 -45 2.39727728580590 0.05373056078 -0.9655002211 1.665500221 +-10 -45 2.36294879499599 0.2076464519 -0.9580193622 1.658019362 +-5 -45 2.32700832702716 0.3563170432 -0.9423037116 1.642303712 +-2.84217e-14 -45 2.28946533136755 0.5000000000 -0.9188964611 1.618896461 +5 -45 2.25027309221063 0.6389448795 -0.8881472397 1.588147240 +10 -45 2.20934300719997 0.7733488210 -0.8502381987 1.550238199 +15 -45 2.16654523983274 0.9033171027 -0.8051999188 1.505199919 +20 -45 2.12172409419190 1.028826086 -0.7529377313 1.452937731 +25 -45 2.07471395352999 1.149687573 -0.6932594961 1.393259496 +30 -45 2.02534831524180 1.265509709 -0.6259017090 1.325901709 +35 -45 1.97348541101955 1.375660355 -0.5505725908 1.250572591 +40 -45 1.91902479381106 1.479227700 -0.4669981298 1.166998130 +45 -45 1.86195905468408 1.575002561 -0.3750025614 1.075002561 + + diff --git a/test/Kerr-definition-mean-curvature-EE.par b/test/Kerr-definition-mean-curvature-EE.par new file mode 100644 index 0000000..e7e0ab5 --- /dev/null +++ b/test/Kerr-definition-mean-curvature-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_definition[1] = "mean curvature" +AHFinderDirect::desired_value[1] = 0.7 diff --git a/test/Kerr-definition-mean-curvature-EE/BH_diagnostics.ah1.gp b/test/Kerr-definition-mean-curvature-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..da99f6d --- /dev/null +++ b/test/Kerr-definition-mean-curvature-EE/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 +0 0.000 0.000122 0.000098 0.000000 1.156034509 2.876107002 2.115323913 1.356184305 -4.560836429e-06 0.000000000 1.356200290 0.000000000 1.256922714 -2.015731695 2.016205651 -2.015880461 2.016085824 -1.944005670 1.944005670 13.23752454 11.69804006 12.06913194 0.8837029935 0.9117363225 51.31439005 1.010379807 2.020759613 0.03626457735 -1.363735423 -0.04929413743 0.7000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7000000000 0.7000000000 35.92007304 diff --git a/test/Kerr-definition-mean-curvature-EE/h.t0.ah1.gp b/test/Kerr-definition-mean-curvature-EE/h.t0.ah1.gp new file mode 100644 index 0000000..ac2d15a --- /dev/null +++ b/test/Kerr-definition-mean-curvature-EE/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 2.59899616911327 -1.000531138 -0.8005311379 1.500531138 +-40 -45 2.57857975560715 -0.8157811886 -0.8680869586 1.568086959 +-35 -45 2.55453854435097 -0.6334809554 -0.9187785671 1.618778567 +-30 -45 2.52767503682206 -0.4553713632 -0.9547517412 1.654751741 +-25 -45 2.49857104814825 -0.2824165625 -0.9778977331 1.677897733 +-20 -45 2.46762959529195 -0.1150408082 -0.9898107326 1.689810733 +-15 -45 2.43511147227242 0.04668747015 -0.9917853931 1.691785393 +-10 -45 2.40116612901667 0.2029180493 -0.9848354658 1.684835466 +-5 -45 2.36585576020782 0.3539183779 -0.9697205811 1.669720581 +0 -45 2.32916897997611 0.5000000000 -0.9469711803 1.646971180 +5 -45 2.29104170508980 0.6414621695 -0.9169199963 1.616919996 +10 -45 2.25136990936440 0.7785485587 -0.8797273767 1.579727377 +15 -45 2.21001169672582 0.9114086787 -0.8353980915 1.535398092 +20 -45 2.16679880461912 1.040060668 -0.7838044909 1.483804491 +25 -45 2.12154881266163 1.164353703 -0.7247111148 1.424711115 +30 -45 2.07407575329829 1.283926949 -0.6578013052 1.357801305 +35 -45 2.02421416076348 1.398169341 -0.5827187540 1.282718754 +40 -45 1.97183007644277 1.506172842 -0.4991100996 1.199110100 +45 -45 1.91686985498929 1.606705327 -0.4067053268 1.106705327 + +-45 -40 2.55303296823449 -1.052551436 -0.6027453373 1.552551436 +-40 -40 2.53137341606557 -0.8687546221 -0.6687546221 1.631218238 +-35 -40 2.50591368769414 -0.6845055284 -0.7194622277 1.691649209 +-30 -40 2.47742084773013 -0.5020715117 -0.7563738526 1.735638771 +-25 -40 2.44648317349529 -0.3229834102 -0.7809215845 1.764893619 +-20 -40 2.41353453674494 -0.1482111948 -0.7943908134 1.780945621 +-15 -40 2.37888111195435 0.02168084207 -0.7978863171 1.785111400 +-10 -40 2.34272591601892 0.1864057709 -0.7923229610 1.778481250 +-5 -40 2.30518785941558 0.3458516450 -0.7784295773 1.761923760 +0 -40 2.26631755696368 0.5000000000 -0.7567608452 1.736099971 +5 -40 2.22611837979593 0.6488609637 -0.7277184577 1.701488601 +10 -40 2.18456000622583 0.7924223471 -0.6915708341 1.658409541 +15 -40 2.14158438067195 0.9306061503 -0.6484700536 1.607044031 +20 -40 2.09711953062725 1.063230538 -0.5984757887 1.547463186 +25 -40 2.05109311794132 1.189976382 -0.5415814272 1.479659126 +30 -40 2.00344137755071 1.310355468 -0.4777408107 1.403576842 +35 -40 1.95413775472478 1.423689824 -0.4069115206 1.319165781 +40 -40 1.90320300858853 1.529092704 -0.3290927045 1.226424928 +45 -40 1.85073446533925 1.625469388 -0.2443809482 1.125469388 + +-45 -35 2.50547396617934 -1.087686968 -0.4117103835 1.587686968 +-40 -35 2.48199214265988 -0.9059119886 -0.4731981947 1.675500663 +-35 -35 2.45469422757241 -0.7213154690 -0.5213154690 1.744219253 +-30 -35 2.42430243499206 -0.5364742788 -0.5570308562 1.795226112 +-25 -35 2.39139822908289 -0.3533248859 -0.5813525731 1.829961123 +-20 -35 2.35643430359519 -0.1732764099 -0.5952521199 1.849811733 +-15 -35 2.31975387777947 0.002673384720 -0.5996189382 1.856048196 +-10 -35 2.28160794702839 0.1738325010 -0.5952353667 1.849787807 +-5 -35 2.24216908910572 0.3397226219 -0.5827653758 1.831978815 +0 -35 2.20154990592499 0.5000000000 -0.5627571495 1.803404106 +5 -35 2.15982180529288 0.6543909323 -0.5356537440 1.764696432 +10 -35 2.11702738682322 0.8026398681 -0.5018053966 1.716355982 +15 -35 2.07318843411290 0.9444660258 -0.4614831114 1.658769790 +20 -35 2.02831850311712 1.079527720 -0.4148979783 1.592239325 +25 -35 1.98244101387408 1.207396297 -0.3622262170 1.517016254 +30 -35 1.93558995451769 1.327532561 -0.3036273786 1.433328440 +35 -35 1.88783705620636 1.439279758 -0.2392797579 1.341430514 +40 -35 1.83930201737792 1.541863394 -0.1694087984 1.241644442 +45 -35 1.79016314594929 1.634403604 -0.09431795515 1.134403604 + +-45 -30 2.45702964626825 -1.108503477 -0.2286699154 1.608503477 +-40 -30 2.43122532212346 -0.9292174026 -0.2833862648 1.703274974 +-35 -30 2.40171412818442 -0.7453185392 -0.3268169858 1.778499190 +-30 -30 2.36917681901370 -0.5595280836 -0.3595280836 1.835156473 +-25 -30 2.33418369119390 -0.3740434438 -0.3821808493 1.874392214 +-20 -30 2.29720254454515 -0.1906001410 -0.3954691890 1.897408293 +-15 -30 2.25860844351223 -0.01054629723 -0.4000743815 1.905384721 +-10 -30 2.21869448625691 0.1650796668 -0.3966350343 1.899427597 +-5 -30 2.17768435149842 0.3354740786 -0.3857302100 1.880539887 +0 -30 2.13574850866403 0.5000000000 -0.3678742543 1.849612465 +5 -30 2.09301999687108 0.6581294568 -0.3435190202 1.807427962 +10 -30 2.04960730832146 0.8093959835 -0.3130602455 1.754671816 +15 -30 2.00560026959657 0.9533551596 -0.2768446065 1.691944489 +20 -30 1.96108093440309 1.089553051 -0.2351825531 1.619783696 +25 -30 1.91614243637176 1.217506399 -0.1883673796 1.538697437 +30 -30 1.87088693060849 1.336686071 -0.1366860710 1.449182785 +35 -30 1.82544232806935 1.446514469 -0.08044058912 1.351762753 +40 -30 1.77997402177717 1.546373540 -0.01996700132 1.247019426 +45 -30 1.73468740929989 1.635619480 0.04434978751 1.135619480 + +-45 -25 2.40815388522301 -1.117178726 -0.05410282462 1.617178726 +-40 -25 2.37963114131580 -0.9404542645 -0.1004947563 1.716666545 +-35 -25 2.34760866961025 -0.7578893690 -0.1376994161 1.796452195 +-30 -25 2.31273552664653 -0.5722369906 -0.1660121017 1.857168945 +-25 -25 2.27557450240965 -0.3858393302 -0.1858393302 1.899688574 +-20 -25 2.23660713263111 -0.2006514323 -0.1976534283 1.925023989 +-15 -25 2.19623656816642 -0.01828036057 -0.2019549528 1.934248638 +-10 -25 2.15479317306592 0.1599645714 -0.1992448220 1.928436744 +-5 -25 2.11254650898920 0.3330167899 -0.1900073051 1.908626825 +0 -25 2.06971749952848 0.5000000000 -0.1747004119 1.875801087 +5 -25 2.02649126991318 0.6601810971 -0.1537525807 1.830878318 +10 -25 1.98302800621068 0.8129301626 -0.1275632617 1.774715142 +15 -25 1.93946860257291 0.9576867999 -0.09650495634 1.708110391 +20 -25 1.89594169219079 1.093932767 -0.06092870088 1.631816865 +25 -25 1.85258197139603 1.221176112 -0.02117611218 1.546567163 +30 -25 1.80952718693460 1.338938116 0.02241606346 1.453083441 +35 -25 1.76692657178828 1.446749848 0.06950592465 1.352098908 +40 -25 1.72495016969430 1.544158393 0.1197363021 1.244379516 +45 -25 1.68378890426333 1.630736541 0.1727288914 1.130736541 + +-45 -20 2.35911051921668 -1.115497837 0.1120068737 1.615497837 +-40 -20 2.32758486364013 -0.9411732605 0.07487260182 1.717523411 +-35 -20 2.29284682729596 -0.7603002380 0.04489169588 1.799895273 +-30 -20 2.25552535177191 -0.5755945459 0.02192913081 1.862984402 +-25 -20 2.21618130409251 -0.3894556028 0.005747271257 1.907443696 +-20 -20 2.17530971950244 -0.2039641103 -0.003964110288 1.934125497 +-15 -20 2.13333795307624 -0.02089474946 -0.007560199261 1.944005670 +-10 -20 2.09062840224664 0.1582565553 -0.005419222423 1.938123385 +-5 -20 2.04748780507629 0.3322369989 0.002072561882 1.917539877 +0 -20 2.00417669011521 0.5000000000 0.01453120120 1.883310046 +5 -20 1.96091870913598 0.6606698739 0.03158138103 1.836465062 +10 -20 1.91790934430325 0.8135100170 0.05285959146 1.778003660 +15 -20 1.87531991263287 0.9578947722 0.07801616047 1.708886554 +20 -20 1.83330292585878 1.093285384 0.1067146156 1.630038197 +25 -20 1.79200870749965 1.219215608 0.1386258323 1.542362850 +30 -20 1.75158014993978 1.335277712 0.1734284526 1.446743436 +35 -20 1.71216131515264 1.441117081 0.2108041749 1.344054483 +40 -20 1.67390111987432 1.536431183 0.2504346723 1.235170586 +45 -20 1.63695217258098 1.620970244 0.2920001976 1.120970244 + +-45 -15 2.31002629633152 -1.104882894 0.2699729247 1.604882894 +-40 -15 2.27532208234449 -0.9326793369 0.2425033487 1.707400747 +-35 -15 2.23776341537474 -0.7536846007 0.2202511284 1.790447164 +-30 -15 2.19796922612971 -0.5705395368 0.2031608719 1.854228869 +-25 -15 2.15650287125191 -0.3856370364 0.1910962226 1.899254754 +-20 -15 2.11387099714316 -0.2011036305 0.1838584755 1.926266393 +-15 -15 2.07052048403355 -0.01879542461 0.1812045754 1.936170883 +-10 -15 2.02683760730792 0.1596921052 0.1828628879 1.929981977 +-5 -15 1.98315444989696 0.3330037006 0.1885448953 1.908776436 +0 -15 1.93975634401062 0.5000000000 0.1979541153 1.873660749 +5 -15 1.89688957163991 0.6597321574 0.2107925888 1.825746914 +10 -15 1.85476699172970 0.8114170805 0.2267658138 1.766134027 +15 -15 1.81356970559318 0.9544131163 0.2455868837 1.695892838 +20 -15 1.77345373799726 1.088198076 0.2669777781 1.616060933 +25 -15 1.73456401113086 1.212354317 0.2906677477 1.527648763 +30 -15 1.69702680680081 1.326551287 0.3163962129 1.431628823 +35 -15 1.66096157704127 1.430537132 0.3439103272 1.328944751 +40 -15 1.62648080332442 1.524129927 0.3729651918 1.220510520 +45 -15 1.59369114609827 1.607211490 0.4033235753 1.107211490 + +-45 -10 2.26092999478451 -1.086435439 0.4202686290 1.586435439 +-40 -10 2.22297387860253 -0.9160405783 0.4024356221 1.687571446 +-35 -10 2.18258811926818 -0.7390232628 0.3879878907 1.769508603 +-30 -10 2.14038822909536 -0.5579305684 0.3769002928 1.832389495 +-25 -10 2.09694116709057 -0.3751018475 0.3690938614 1.876661968 +-20 -10 2.05276084227129 -0.1926419614 0.3644465556 1.903018149 +-15 -10 2.00830489620544 -0.01240858687 0.3628037644 1.912334880 +-10 -10 1.96397192170553 0.1639882277 0.3639882277 1.905617456 +-5 -10 1.92010446243712 0.3351753858 0.3678080863 1.883953961 +0 -10 1.87699588434223 0.5000000000 0.3740630852 1.848480099 +5 -10 1.83489680668505 0.6575102626 0.3825496250 1.800350540 +10 -10 1.79401958164663 0.8069349885 0.3930650115 1.740714820 +15 -10 1.75453688135287 0.9476609930 0.4054116471 1.670693570 +20 -10 1.71659247604748 1.079212130 0.4193981363 1.591372248 +25 -10 1.68031063941234 1.201232332 0.4348399115 1.503797589 +30 -10 1.64578842802111 1.313464522 0.4515620054 1.408961882 +35 -10 1.61311200501853 1.415740025 0.4693974072 1.307812292 +40 -10 1.58235228738316 1.507962833 0.4881883910 1.201243327 +45 -10 1.55356956887903 1.590099130 0.5077861117 1.090099130 + +-45 -5 2.21177919476219 -1.060979881 0.5634319564 1.560979881 +-40 -5 2.17059319178018 -0.8921074423 0.5548520163 1.659049046 +-35 -5 2.12746950771688 -0.7171446997 0.5479217128 1.738262777 +-30 -5 2.08302231229447 -0.5385344649 0.5426258769 1.798794459 +-25 -5 2.03781874434075 -0.3585247999 0.5389235389 1.841112375 +-20 -5 1.99237049849996 -0.1791395946 0.5367530917 1.865920701 +-15 -5 1.94713256738367 -0.002165068931 0.5360370100 1.874105551 +-10 -5 1.90250045906734 0.1708537058 0.5366865396 1.866681394 +-5 -5 1.85880985142050 0.3386058720 0.5386058720 1.844743325 +0 -5 1.81634432074596 0.5000000000 0.5416951616 1.809432582 +5 -5 1.77534166781008 0.6541468700 0.5458531300 1.761906786 +10 -5 1.73599587682804 0.8003398012 0.5509795398 1.703311654 +15 -5 1.69845752645392 0.9380318295 0.5569772911 1.634757043 +20 -5 1.66284703446275 1.066814888 0.5637529327 1.557311106 +25 -5 1.62925855072884 1.186400042 0.5712175937 1.471989640 +30 -5 1.59775680170265 1.296595166 0.5792881026 1.379743301 +35 -5 1.56839340549126 1.397292165 0.5878862508 1.281466017 +40 -5 1.54120056473944 1.488447206 0.5969396222 1.177985509 +45 -5 1.51620025948558 1.570069791 0.6063810241 1.070069791 + +-45 0 2.16248153624129 -1.029105358 0.7000000000 1.529105358 +-40 0 2.11817935284502 -0.8615394431 0.7000000000 1.622619523 +-35 0 2.07250108252955 -0.6887377853 0.7000000000 1.697693499 +-30 0 2.02605552761007 -0.5130277638 0.7000000000 1.754615556 +-25 0 1.97939876843072 -0.3365300668 0.7000000000 1.793944517 +-20 0 1.93302743329671 -0.1611343198 0.7000000000 1.816451615 +-15 0 1.88737621106116 0.01151109130 0.7000000000 1.823065426 +-10 0 1.84281805659598 0.1799980027 0.7000000000 1.814821510 +-5 0 1.79966355819635 0.3431489859 0.7000000000 1.792815295 +0 0 1.75816839388766 0.5000000000 0.7000000000 1.758168394 +5 0 1.71854032091990 0.6497806581 0.7000000000 1.712000756 +10 0 1.68094226617912 0.7918925613 0.7000000000 1.655404976 +15 0 1.64549399170922 0.9258851837 0.7000000000 1.589425144 +20 0 1.61228622950951 1.051434367 0.7000000000 1.515053472 +25 0 1.58137987920882 1.168320016 0.7000000000 1.433216899 +30 0 1.55281038817210 1.276405194 0.7000000000 1.344773243 +35 0 1.52659909938892 1.375621271 0.7000000000 1.250516773 +40 0 1.50274888839929 1.465948366 0.7000000000 1.151172435 +45 0 1.48125423748247 1.547404916 0.7000000000 1.047404916 + +-45 5 2.11291733623616 -0.9912073770 0.8304637405 1.491207377 +-40 5 2.06570262988547 -0.8248360013 0.8381339317 1.578878064 +-35 5 2.01774340352278 -0.6543693952 0.8442347163 1.648610351 +-30 5 1.96963354426798 -0.4820021163 0.8488075044 1.700877558 +-25 5 1.92190179490814 -0.3096894576 0.8519139720 1.736384645 +-20 5 1.87500938912123 -0.1391346977 0.8536308062 1.756008150 +-15 5 1.82935051784331 0.02821089623 0.8540448687 1.760740906 +-10 5 1.78525461983461 0.1911380812 0.8532489037 1.751642985 +-5 5 1.74298798402391 0.3486622902 0.8513377098 1.729797938 +0 5 1.70276057973552 0.5000000000 0.8484053630 1.696281062 +5 5 1.66473729016594 0.6445434686 0.8445434686 1.652139406 +10 5 1.62904122134875 0.7818358747 0.8398393140 1.598370673 +15 5 1.59575658938573 0.9115452800 0.8343745290 1.535907895 +20 5 1.56494135767483 1.033441767 0.8282250659 1.465619209 +25 5 1.53662713260172 1.147374800 0.8214604887 1.388299738 +30 5 1.51082741598103 1.253254698 0.8141443077 1.304675407 +35 5 1.48754163551960 1.351036130 0.8063342075 1.215405553 +40 5 1.46675623854742 1.440702423 0.7980822715 1.121085493 +45 5 1.44845203437598 1.522255969 0.7894358085 1.022255969 + +-45 10 2.06294583268313 -0.9475151306 0.9552359725 1.447515131 +-40 10 2.01311378696635 -0.7823591129 0.9694727803 1.528256080 +-35 10 1.96323645994424 -0.6145005431 0.9806546703 1.591671729 +-30 10 1.91387661618284 -0.4459725806 0.9889069216 1.638472572 +-25 10 1.86551419662976 -0.2785220423 0.9943859890 1.669545907 +-20 10 1.81855134394239 -0.1136150612 0.9972685150 1.685893525 +-15 10 1.77331801201445 0.04754709889 0.9977417220 1.688577215 +-10 10 1.73007870841864 0.2040045193 0.9959954807 1.678673788 +-5 10 1.68903757387917 0.3550105102 0.9922156762 1.657237452 +0 10 1.65034510732470 0.5000000000 0.9865794204 1.625272657 +5 10 1.61411373925640 0.6385579168 0.9792533127 1.583724236 +10 10 1.58042126812587 0.7703909081 0.9703909081 1.533463041 +15 10 1.54931370626724 0.8952993633 0.9601311935 1.475277308 +20 10 1.52081967364794 1.013154528 0.9485999681 1.409880479 +25 10 1.49494843608969 1.123876415 0.9359091529 1.337907290 +30 10 1.47170066915589 1.227418094 0.9221587882 1.259925097 +35 10 1.45106525313657 1.323748461 0.9074371827 1.176434723 +40 10 1.43302749177683 1.412842520 0.8918231870 1.087883353 +45 10 1.41756882192720 1.494670963 0.8753873277 0.9946709632 + +-45 15 2.01241799336650 -0.8981205398 1.074625270 1.398120540 +-40 15 1.96035485574211 -0.7343570682 1.094166518 1.471049471 +-35 15 1.90901177978011 -0.5695047807 1.109268576 1.527411121 +-30 15 1.85889048542358 -0.4053883629 1.120192202 1.568178645 +-25 15 1.81039775738403 -0.2434978761 1.127227930 1.594436341 +-20 15 1.76385100109468 -0.08501315462 1.130677532 1.607310432 +-15 15 1.71949196331555 0.06915926691 1.130840733 1.607919506 +-10 15 1.67750045282096 0.2183461341 1.128005547 1.597338449 +-5 15 1.63800348723855 0.3620679692 1.122440746 1.576570327 +0 15 1.60108239892473 0.5000000000 1.114390618 1.546526839 +5 15 1.56679079140021 0.6319353942 1.104075007 1.508028456 +10 15 1.53515833605013 0.7577544938 1.091687694 1.461798375 +15 15 1.50619590000504 0.8773966727 1.077396673 1.408463557 +20 15 1.47990788692881 0.9908382743 1.061347459 1.348567075 +25 15 1.45629007362514 1.098072204 1.043663590 1.282569980 +30 15 1.43533884080582 1.199093945 1.024450629 1.210866232 +35 15 1.41704643372447 1.293886110 1.003797275 1.133786865 +40 15 1.40141121641367 1.382412608 0.9817802998 1.051618395 +45 15 1.38843039421915 1.464607283 0.9584657424 0.9646072827 + +-45 20 1.96119245844603 -0.8430070993 1.188814609 1.343007099 +-40 20 1.90738085131697 -0.6809950836 1.212271775 1.407455134 +-35 20 1.85511037876996 -0.5196913392 1.230038989 1.456270154 +-30 20 1.80478703521707 -0.3606505310 1.242566951 1.490690447 +-25 20 1.75671021833516 -0.2050486994 1.250316375 1.511981815 +-20 20 1.71108873003804 -0.05373496687 1.253734967 1.521374318 +-15 20 1.66805543327503 0.09271276464 1.253240818 1.520016656 +-10 20 1.62768961768105 0.2339305942 1.249214553 1.508954584 +-5 20 1.59003043885853 0.3697192347 1.241993885 1.489115962 +0 20 1.55508467208657 0.5000000000 1.231870282 1.461301591 +5 20 1.52284539237558 0.6247758900 1.219092510 1.426194949 +10 20 1.49329582615328 0.7441007972 1.203867440 1.384364413 +15 20 1.46641590768755 0.8580531372 1.186363415 1.336272500 +20 20 1.44219140012183 0.9667156023 1.166715602 1.282290579 +25 20 1.42061216593896 1.070157075 1.145028514 1.222705793 +30 20 1.40167917157040 1.168420096 1.121382013 1.157737567 +35 20 1.38540283618328 1.261509013 1.095834947 1.087547579 +40 20 1.37180496583235 1.349381978 1.068430334 1.012254024 +45 20 1.36091518812786 1.431942580 1.039199359 0.9319425798 + +-45 25 1.90914116115061 -0.7820702572 1.297839179 1.282070257 +-40 25 1.85416625864178 -0.6223763414 1.323731276 1.337596037 +-35 25 1.80159029478626 -0.4653232707 1.342863164 1.378624505 +-30 25 1.75168357783163 -0.3121204981 1.355924190 1.406633965 +-25 25 1.70460422507647 -0.1635710953 1.363571095 1.423032806 +-20 25 1.66042647348746 -0.02015401807 1.366405599 1.429111419 +-15 25 1.61916054561984 0.1179013119 1.364960184 1.426011717 +-10 25 1.58077505037530 0.2505470463 1.359693838 1.414718001 +-5 25 1.54521693089141 0.3778605430 1.350993647 1.396060381 +0 25 1.51241838299546 0.5000000000 1.339175628 1.370716558 +5 25 1.48231449771924 0.6171674243 1.324493106 1.339229788 +10 25 1.45484625077094 0.7295808593 1.307140850 1.302017754 +15 25 1.42996748777138 0.8374518373 1.287261990 1.259387402 +20 25 1.40765030643971 0.9409680131 1.264954884 1.211549659 +25 25 1.38788589133455 1.040278469 1.240278469 1.158630916 +30 25 1.37068838965035 1.135482431 1.213259177 1.100687857 +35 25 1.35609411088567 1.226618702 1.183896341 1.037719052 +40 25 1.34415866872089 1.313655130 1.152167543 0.9696764248 +45 25 1.33495903681780 1.396482309 1.118036566 0.8964823087 + +-45 30 1.85616692379645 -0.7151464901 1.401565153 1.215146490 +-40 30 1.80072581568423 -0.5585726669 1.428360723 1.261557779 +-35 30 1.74854421403901 -0.4066418442 1.447563950 1.294818743 +-30 30 1.69971751805507 -0.2601367826 1.460136783 1.316595528 +-25 30 1.65423350506514 -0.1194336611 1.466940420 1.328379773 +-20 30 1.61201191027901 0.01538637494 1.468721672 1.331464992 +-15 30 1.57293198656092 0.1444471799 1.466109853 1.326941189 +-10 30 1.53685019024596 0.2680066449 1.459619574 1.315699697 +-5 30 1.50362356736273 0.3863999492 1.449663068 1.298454522 +0 30 1.47311492517505 0.5000000000 1.436557463 1.275754948 +5 30 1.44520688196764 0.6091866201 1.420538204 1.248008778 +10 30 1.41980374376726 0.7143247508 1.401766979 1.215496063 +15 30 1.39683791404665 0.8157477016 1.380341743 1.178386465 +20 30 1.37627262726689 0.9137441310 1.356304453 1.136752657 +25 30 1.35810571890292 1.008547551 1.329648817 1.090583742 +30 30 1.34236722888133 1.100324875 1.300324875 1.039793184 +35 30 1.32912402665395 1.189167279 1.268247116 0.9842328762 +40 30 1.31847533027956 1.275077435 1.233299205 0.9237013178 +45 30 1.31055572214281 1.357960114 1.195343503 0.8579601142 + +-45 35 1.80221785432283 -0.6420425197 1.499666781 1.142042520 +-40 35 1.74711964370652 -0.4896471509 1.525835657 1.179415547 +-35 35 1.69610658437688 -0.3438856397 1.543885640 1.205193594 +-30 35 1.64905552223580 -0.2050290461 1.555055725 1.221146129 +-25 35 1.60576497680269 -0.07298663139 1.560396675 1.228773796 +-20 35 1.56599073881246 0.05256778388 1.560772066 1.229309911 +-15 35 1.52948025176788 0.1720983014 1.556876033 1.223745799 +-10 35 1.49598620485835 0.2861411381 1.549249427 1.212853876 +-5 35 1.46528427680516 0.3952568193 1.538302492 1.197220034 +0 35 1.43717748389069 0.5000000000 1.524331140 1.177266874 +5 35 1.41150504572670 0.6008988702 1.507534904 1.153279364 +10 35 1.38814204659765 0.6984419892 1.488027880 1.125420446 +15 35 1.36700541948690 0.7930690988 1.465851131 1.093748767 +20 35 1.34805190110624 0.8851631013 1.440978469 1.058226924 +25 35 1.33128501901073 0.9750436891 1.413325562 1.018734479 +30 35 1.31675142096325 1.062957393 1.382751930 0.9750708078 +35 35 1.30454782387431 1.149068393 1.349068393 0.9269657316 +40 35 1.29482105975084 1.233444889 1.312041313 0.8740855811 +45 35 1.28776711423391 1.316041632 1.271398503 0.8160416325 + +-45 40 1.74731943459484 -0.5625805977 1.591610988 1.062580598 +-40 40 1.69347909585412 -0.4156915867 1.615691587 1.091278738 +-35 40 1.64446140667180 -0.2773107418 1.631496908 1.110114787 +-30 40 1.59989399689678 -0.1471279183 1.640511898 1.120858434 +-25 40 1.55937334919351 -0.02456457115 1.643930323 1.124932353 +-20 40 1.52249826750491 0.09109745231 1.642686914 1.123450517 +-15 40 1.48889458428151 0.2006295101 1.637497387 1.117265878 +-10 40 1.45822728603703 0.3048036015 1.628894860 1.107013786 +-5 40 1.43020582409481 0.4043618618 1.617260857 1.093148922 +0 40 1.40458756346865 0.5000000000 1.602851483 1.075976498 +5 40 1.38117860262414 0.5923596785 1.585817305 1.055675956 +10 40 1.35983239302345 0.6820253868 1.566217038 1.032317267 +15 40 1.34045335381815 0.7695235656 1.544029879 1.005875641 +20 40 1.32299313313229 0.8553207739 1.519159102 0.9762358030 +25 40 1.30745834588792 0.9398217572 1.491439445 0.9432008020 +30 40 1.29391047174238 1.023363168 1.460636765 0.9064915971 +35 40 1.28247070068082 1.106203495 1.426449090 0.8657483127 +40 40 1.27332652642796 1.188508285 1.388508285 0.8205322217 +45 40 1.26673386992212 1.270326711 1.346380859 0.7703267107 + +-45 45 1.69159364036770 -0.4766420436 1.676642044 0.9766420436 +-40 45 1.64002290673024 -0.3368604015 1.697331390 0.9973313900 +-35 45 1.59385689451211 -0.2072143967 1.710006831 1.010006831 +-30 45 1.55246524691035 -0.08677670891 1.716327073 1.016327073 +-25 45 1.51524905617290 0.02550640543 1.717554797 1.017554797 +-20 45 1.48166986406932 0.1307033145 1.714634305 1.014634305 +-15 45 1.45125503124955 0.2298390250 1.708254485 1.008254485 +-10 45 1.42360380673579 0.3238659996 1.698905554 0.9989055542 +-5 45 1.39837984857364 0.4136559379 1.686917145 0.9869171454 +0 45 1.37531092099867 0.5000000000 1.672491678 0.9724916785 +5 45 1.35418265655761 0.5836150717 1.655724643 0.9557246432 +10 45 1.33483456297882 0.6651511118 1.636618498 0.9366184978 +15 45 1.31716162097082 0.7451985765 1.615093545 0.9150935454 +20 45 1.30111070384957 0.8242934760 1.590989002 0.8909890025 +25 45 1.28668605880327 0.9029200946 1.564064931 0.8640649314 +30 45 1.27395468683474 0.9815096118 1.533999112 0.8339991121 +35 45 1.26305162841178 1.060431930 1.500379744 0.8003797436 +40 45 1.25419219684906 1.139981174 1.462699863 0.7626998634 +45 45 1.24768386561738 1.220350616 1.420350616 0.7203506157 + + +### +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 1.91687004124915 1.606705434 -0.4067054343 1.106705434 +45 -40 1.85073460007090 1.625469470 -0.2443810170 1.125469470 +45 -35 1.79016332171300 1.634403716 -0.09431803314 1.134403716 +45 -30 1.73468754744768 1.635619570 0.04434973529 1.135619570 +45 -25 1.68378893524828 1.630736562 0.1727288817 1.130736562 +45 -20 1.63695223321000 1.620970286 0.2920001825 1.120970286 +45 -15 1.59369117052103 1.607211507 0.4033235708 1.107211507 +45 -10 1.55356959455181 1.590099148 0.5077861086 1.090099148 +45 -5 1.51620027535380 1.570069802 0.6063810231 1.070069802 +45 0 1.48125425087344 1.547404925 0.7000000000 1.047404925 +45 5 1.44845204211585 1.522255974 0.7894358090 1.022255974 +45 10 1.41756882539233 1.494670966 0.8753873282 0.9946709657 +45 15 1.38843040501118 1.464607290 0.9584657444 0.9646072902 +45 20 1.36091520283017 1.431942590 1.039199363 0.9319425899 +45 25 1.33495908136502 1.396482339 1.118036580 0.8964823386 +45 30 1.31055575969438 1.357960139 1.195343517 0.8579601388 +45 35 1.28776711140674 1.316041631 1.271398501 0.8160416307 +45 40 1.26673387116398 1.270326711 1.346380859 0.7703267115 +45 45 1.24768386476572 1.220350615 1.420350615 0.7203506152 + +50 -45 1.92881684339529 1.672952875 -0.4729528750 0.9842243248 +50 -40 1.85939545803780 1.698195321 -0.3054052521 1.005405252 +50 -35 1.79509386595610 1.711801162 -0.1485123086 1.016821908 +50 -30 1.73568405569214 1.715990632 -0.002052518482 1.020337290 +50 -25 1.68083804791920 1.712557019 0.1345753759 1.017456148 +50 -20 1.63017927666251 1.702908266 0.2621771968 1.009359882 +50 -15 1.58332428026690 1.688125883 0.3816426291 0.9969559903 +50 -10 1.53990931844695 1.669022732 0.4938697514 0.9809265429 +50 -5 1.49959893083971 1.646188141 0.5997215314 0.9617660463 +50 0 1.46210194073475 1.620035067 0.7000000000 0.9398210116 +50 5 1.42716707191155 1.590826313 0.7954349363 0.9153119570 +50 10 1.39459363214486 1.558706274 0.8866784808 0.8883600443 +50 15 1.36422814517645 1.523716234 0.9743039382 0.8589999146 +50 20 1.33596835582130 1.485810212 1.058805574 0.8271929851 +50 25 1.30976795481202 1.444866955 1.140598697 0.7928375130 +50 30 1.28563507982431 1.400693999 1.220015923 0.7557720022 +50 35 1.26364390070321 1.353039040 1.297304366 0.7157847435 +50 40 1.24393711368020 1.301593670 1.372616953 0.6726169530 +50 45 1.22672902880768 1.245998951 1.445998951 0.6259674443 + +55 -45 1.93908118431345 1.728771070 -0.5287710702 0.8603947661 +55 -40 1.86704550461576 1.760373040 -0.3575785527 0.8825227033 +55 -35 1.79963812191672 1.778759458 -0.1953970121 0.8953970121 +55 -30 1.73684813943188 1.786157654 -0.04256346766 0.9005772845 +55 -25 1.67853151049665 1.784456671 0.1010480178 0.8993862435 +55 -20 1.62446059189136 1.775209013 0.2358618767 0.8929109639 +55 -15 1.57437044223543 1.759662694 0.3624743984 0.8820253140 +55 -10 1.52798445069607 1.738796091 0.4815668255 0.8674143614 +55 -5 1.48503295583975 1.713355820 0.5938451209 0.8496008918 +55 0 1.44527248940067 1.683897914 0.7000000000 0.8289742440 +55 5 1.40848641682513 1.650812973 0.8006830890 0.8058079190 +55 10 1.37449942214745 1.614359842 0.8964917064 0.7802831619 +55 15 1.34317583832942 1.574682584 0.9879603305 0.7525008466 +55 20 1.31442669324491 1.531830981 1.075555764 0.7224958312 +55 25 1.28821209899725 1.485773942 1.159673938 0.6902463453 +55 30 1.26454009752414 1.436407673 1.240635222 0.6556797116 +55 35 1.24347637983001 1.383570515 1.318682735 0.6186827349 +55 40 1.22514144553579 1.327047463 1.393975221 0.5791048680 +55 45 1.20971192560779 1.266579053 1.466579053 0.5367644314 + +60 -45 1.94773774157645 1.775093662 -0.5750936621 0.7361756691 +60 -40 1.87365349929745 1.812649669 -0.4014438535 0.7578586400 +60 -35 1.80370559478772 1.835666431 -0.2352437037 0.7711473736 +60 -30 1.73806722721633 1.846301085 -0.07728729390 0.7772872939 +60 -25 1.67676203241706 1.846470593 0.07213045111 0.7773851592 +60 -20 1.61970986320858 1.837823230 0.2130721657 0.7723926018 +60 -15 1.56676902885817 1.821742056 0.3458402834 0.7631081321 +60 -10 1.51775707120762 1.799354050 0.4708888235 0.7501824105 +60 -5 1.47247883657250 1.771559482 0.5887529604 0.7341352090 +60 0 1.43074492553595 1.739061452 0.7000000000 0.7153724628 +60 5 1.39237718884193 1.702387683 0.8051952914 0.6941988524 +60 10 1.35722642963346 1.661923533 0.9048784683 0.6708368644 +60 15 1.32517119444799 1.617927702 0.9995478249 0.6454358596 +60 20 1.29612844640926 1.570556390 1.089650660 0.6180860200 +60 25 1.27005401122591 1.519876610 1.175576274 0.5888260353 +60 30 1.24694228622833 1.465877342 1.257649543 0.5576495432 +60 35 1.22683540672988 1.408486881 1.336129362 0.5245151451 +60 40 1.20981743135725 1.347577448 1.411201924 0.4893490678 +60 45 1.19601676076188 1.282976763 1.482976763 0.4520518447 + +65 -45 1.95487010548334 1.812779207 -0.6127792067 0.6121589975 +65 -40 1.87920718428102 1.855660568 -0.4375342823 0.6321549046 +65 -35 1.80722431649971 1.882935807 -0.2683420770 0.6448735576 +65 -30 1.73924097485309 1.896642327 -0.1063518233 0.6512650127 +65 -25 1.67542709679134 1.898675240 0.04778702451 0.6522129755 +65 -20 1.61583917461672 1.890735605 0.1938136360 0.6485106631 +65 -15 1.56045388453395 1.874308144 0.3317552427 0.6408504121 +65 -10 1.50918346352818 1.850646958 0.4618444999 0.6298170201 +65 -5 1.46190907198684 1.820794055 0.5844454933 0.6158963828 +65 0 1.41849761861228 1.785595438 0.7000000000 0.5994829979 +65 5 1.37881011928837 1.745716470 0.8089860691 0.5808871299 +65 10 1.34272146207025 1.701671435 0.9118870959 0.5603485928 +65 15 1.31012042227876 1.653836831 1.009169647 0.5380429507 +65 20 1.28092353579010 1.602477274 1.101268912 0.5140935958 +65 25 1.25507481935559 1.547757958 1.188577560 0.4885775597 +65 30 1.23254755604567 1.489758240 1.271437186 0.4615318471 +65 35 1.21335173997770 1.428488817 1.350134869 0.4329614459 +65 40 1.19752810457283 1.363897096 1.424895735 0.4028418319 +65 45 1.18515280177947 1.295880990 1.495880990 0.3711254006 + +70 -45 1.96056694671291 1.842578754 -0.6425787544 0.4886587038 +70 -40 1.88371827119396 1.889994531 -0.4663438980 0.5059166350 +70 -35 1.81015082737274 1.920976700 -0.2949785967 0.5171932222 +70 -30 1.74029699285039 1.937423946 -0.1298971024 0.5231795305 +70 -25 1.67444782554800 1.941179448 0.02796698663 0.5245464213 +70 -20 1.61277882305956 1.933964375 0.1780796504 0.5219203496 +70 -15 1.55537162791731 1.917333461 0.3202266438 0.5158671918 +70 -10 1.50222750207023 1.892644550 0.4544391912 0.5068811632 +70 -5 1.45330001526324 1.861063409 0.5809223814 0.4953865678 +70 0 1.40850946380853 1.823565949 0.7000000000 0.4817386087 +70 5 1.36775393675884 1.780946684 0.8120683135 0.4662264648 +70 10 1.33093021471723 1.733842882 0.9175597900 0.4490820828 +70 15 1.29793379948719 1.682743063 1.016915049 0.4304832699 +70 20 1.26867640765992 1.628013802 1.110563448 0.4105634478 +70 25 1.24308532306938 1.569910326 1.198907379 0.3894155122 +70 30 1.22110870956031 1.508592733 1.282311286 0.3670977333 +70 35 1.20272137478860 1.444141794 1.361095201 0.3436395100 +70 40 1.18792072205434 1.376565956 1.435526170 0.3190439162 +70 45 1.17673370720117 1.305816745 1.505816745 0.2932933094 + +75 -45 1.96490833819649 1.865113369 -0.6651133688 0.3657810248 +75 -40 1.88720057296643 1.916154527 -0.4882947414 0.3794574619 +75 -35 1.81245046183078 1.950151864 -0.3154072669 0.3885670209 +75 -30 1.74117300405529 1.968870998 -0.1480530661 0.3935827977 +75 -25 1.67375332768668 1.974092155 0.01261953949 0.3949818024 +75 -20 1.61046320375853 1.967535697 0.1658606885 0.3932250049 +75 -15 1.55147075772655 1.950800671 0.3112591318 0.3887408682 +75 -10 1.49685371613106 1.925324201 0.4486768870 0.3819144687 +75 -5 1.44662867295147 1.892373006 0.5781831466 0.3730852226 +75 0 1.40076249983486 1.853032675 0.7000000000 0.3625440126 +75 5 1.35918490441915 1.808208808 0.8144534402 0.3505334935 +75 10 1.32181038008347 1.758645587 0.9219331762 0.3372530686 +75 15 1.28853854711829 1.704929309 1.022859835 0.3228598354 +75 20 1.25927416590758 1.647514446 1.117661102 0.3074755691 +75 25 1.23392690636126 1.586732401 1.206751641 0.2911890692 +75 30 1.21242082094514 1.522810357 1.290519835 0.2740612091 +75 35 1.19469813937067 1.455884738 1.369317699 0.2561285435 +75 40 1.18071800400916 1.386010300 1.443450916 0.2374057445 +75 45 1.17046555632360 1.313176955 1.513176955 0.2178901083 + +80 -45 1.96795928925064 1.880865558 -0.6808655577 0.2434838545 +80 -40 1.88967151058248 1.934544830 -0.5037260376 0.2529489585 +80 -35 1.81410422900753 1.970764462 -0.3298403629 0.2593354568 +80 -30 1.74182790183641 1.991181416 -0.1609339919 0.2629355168 +80 -25 1.67329418661197 1.997518200 0.001695795273 0.2640528627 +80 -20 1.60884510674113 1.991484723 0.1571439559 0.2629889980 +80 -15 1.54871324248641 1.974705538 0.3048538419 0.2600303750 +80 -10 1.49303501644132 1.948673251 0.4445598196 0.2554401804 +80 -5 1.44187595521015 1.914729235 0.5762272300 0.2494549345 +80 0 1.39523921870532 1.874042400 0.7000000000 0.2422807477 +80 5 1.35307888198353 1.827603976 0.8161502976 0.2340924007 +80 10 1.31532221397873 1.776240736 0.9250356756 0.2250356756 +80 15 1.28187115096061 1.720614917 1.027062781 0.2152273429 +80 20 1.25262363616841 1.661248531 1.122659900 0.2047594474 +80 25 1.22747427547155 1.598530720 1.212253287 0.1937006050 +80 30 1.20632683213786 1.532738166 1.296251658 0.1820996028 +80 35 1.18909730267432 1.464047173 1.375033098 0.1699875273 +80 40 1.17571520272596 1.392544633 1.448933873 0.1573797003 +80 45 1.16613413693810 1.318245822 1.518245822 0.1442788152 + +85 -45 1.96977058757597 1.890180477 -0.6901804774 0.1216250320 +85 -40 1.89114779663978 1.945460605 -0.5128854602 0.1264614165 +85 -35 1.81510083420794 1.983039924 -0.3384357339 0.1297491809 +85 -30 1.74223254063298 2.004505363 -0.1686265762 0.1316271635 +85 -25 1.67303395743423 2.011539498 -0.004842443655 0.1322425706 +85 -20 1.60788909627584 2.005841183 0.1519186317 0.1317440326 +85 -15 1.54707087446414 1.989048133 0.3010107553 0.1302748311 +85 -10 1.49075256026753 1.962685622 0.4420890605 0.1279684102 +85 -5 1.43903047800546 1.928140628 0.5750538851 0.1249461149 +85 0 1.39193074517892 1.886634028 0.7000000000 0.1213147579 +85 5 1.34942274937267 1.839211005 0.8171657810 0.1171657810 +85 10 1.31144151081672 1.786750527 0.9268888353 0.1125760839 +85 15 1.27788994289069 1.729962806 1.029567540 0.1076078021 +85 20 1.24866112107531 1.669412334 1.125631281 0.1023103222 +85 25 1.22363943233037 1.605524084 1.215514347 0.09672082462 +85 30 1.20271530881886 1.538605117 1.299638944 0.09086617363 +85 35 1.18578817937993 1.468855932 1.378400227 0.08476391066 +85 40 1.17276892253766 1.396382228 1.452153997 0.07842328315 +85 45 1.16359161870231 1.321213578 1.521213578 0.07184687840 + +90 -45 1.97036931967315 1.893261507 -0.6932615074 0.000000000 +90 -40 1.89163691816761 1.949077950 -0.5159207730 0.000000000 +90 -35 1.81543178665781 1.987114659 -0.3412888946 0.000000000 +90 -30 1.74236747874776 2.008934499 -0.1711837394 0.000000000 +90 -25 1.67294783617590 2.016205651 -0.007018306508 0.000000000 +90 -20 1.60757102385549 2.010622629 0.1501783280 0.000000000 +90 -15 1.54652356524274 1.993827053 0.2997302476 0.000000000 +90 -10 1.48999135670777 1.967355040 0.4412657162 0.000000000 +90 -5 1.43808121661018 1.932608883 0.5746629634 0.000000000 +90 0 1.39082711553810 1.890827116 0.7000000000 0.000000000 +90 5 1.34820366376944 1.843073342 0.8175036917 0.000000000 +90 10 1.31014847975581 1.790244380 0.9275048960 0.000000000 +90 15 1.27656471339778 1.733066826 1.030399260 0.000000000 +90 20 1.24734368943522 1.672119661 1.126616667 0.000000000 +90 25 1.22236621807592 1.607840022 1.216594286 0.000000000 +90 30 1.20151806228928 1.540545165 1.300759031 0.000000000 +90 35 1.18469295751248 1.470443658 1.379511965 0.000000000 +90 40 1.17179542919585 1.397647377 1.453215583 0.000000000 +90 45 1.16275295476498 1.322190499 1.522190499 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 1.24768390451673 1.220350638 1.420350638 0.7203506381 +40 45 1.25419218728112 1.139981169 1.462699858 0.7626998576 +35 45 1.26305164637549 1.060431938 1.500379755 0.8003797550 +30 45 1.27395473441867 0.9815096298 1.533999143 0.8339991432 +25 45 1.28668609686635 0.9029201066 1.564064957 0.8640649569 +20 45 1.30111074093671 0.8242934852 1.590989028 0.8909890279 +15 45 1.31716163247195 0.7451985786 1.615093553 0.9150935534 +10 45 1.33483457218830 0.6651511129 1.636618504 0.9366185043 +5 45 1.35418266369721 0.5836150722 1.655724648 0.9557246482 +0 45 1.37531093137392 0.5000000000 1.672491686 0.9724916858 +-5 45 1.39837986532309 0.4136559369 1.686917157 0.9869171572 +-10 45 1.42360383513414 0.3238659961 1.698905574 0.9989055741 +-15 45 1.45125506242226 0.2298390192 1.708254507 1.008254507 +-20 45 1.48166992960848 0.1307032981 1.714634349 1.014634349 +-25 45 1.51524909693094 0.02550639267 1.717554825 1.017554825 +-30 45 1.55246540823630 -0.08677676989 1.716327178 1.016327178 +-35 45 1.59385701334268 -0.2072144494 1.710006906 1.010006906 +-40 45 1.64002317306499 -0.3368605374 1.697331552 0.9973315520 +-45 45 1.69159401383518 -0.4766422592 1.676642259 0.9766422592 + +45 50 1.22672905778098 1.245998968 1.445998968 0.6259674591 +40 50 1.23094975849711 1.165594480 1.493224612 0.6655944796 +35 50 1.23794314887024 1.085156029 1.535689417 0.7012266817 +30 50 1.24742127522825 1.004559136 1.573922059 0.7333076777 +25 50 1.25917182494796 0.9235784385 1.608366893 0.7622103247 +20 50 1.27305527590911 0.8419087934 1.639386690 0.7882390247 +15 50 1.28899645914239 0.7591771812 1.667262408 0.8116295300 +10 50 1.30698062274454 0.6749507179 1.692194826 0.8325503123 +5 50 1.32705100510176 0.5887401557 1.714304620 0.8511026329 +0 50 1.34930288752342 0.5000000000 1.733625979 0.8673151778 +-5 50 1.37388768894289 0.4081278663 1.750103293 0.8811412862 +-10 50 1.40100932300346 0.3124627232 1.763576748 0.8924468573 +-15 50 1.43092699713702 0.2122849928 1.773767025 0.9009975147 +-20 50 1.46395650637931 0.1068202126 1.780252588 0.9064395479 +-25 50 1.50046711238446 -0.004748838844 1.782437378 0.9082728047 +-30 50 1.54088133365081 -0.1232583732 1.779515169 0.9058207799 +-35 50 1.58566194653316 -0.2495171726 1.770421456 0.8981902489 +-40 50 1.63529424181981 -0.3842300933 1.753784390 0.8842300933 +-45 50 1.69025401861520 -0.5278779540 1.727877954 0.8624920121 + +45 55 1.20971195075563 1.266579069 1.466579069 0.5367644425 +40 55 1.21179921808119 1.186417583 1.518040621 0.5727982094 +35 55 1.21698057237541 1.105499936 1.564743527 0.6054999363 +30 55 1.22500780847850 1.023733783 1.607133521 0.6351817299 +25 55 1.23569269685035 0.9409333906 1.645584708 0.6621055404 +20 55 1.24890906623536 0.8568361788 1.680399344 0.6864830109 +15 55 1.26458753062906 0.7711119668 1.711803635 0.7084725322 +10 55 1.28271323340875 0.6833704024 1.739945229 0.7281774888 +5 55 1.30332647357325 0.5931659218 1.764891359 0.7456449568 +0 55 1.32651648208488 0.5000000000 1.786618688 0.7608585966 +-5 55 1.35242589479245 0.4033242954 1.805008360 0.7737351833 +-10 55 1.38124500450661 0.3025439782 1.819828747 0.7841125300 +-15 55 1.41321383085246 0.1970243878 1.830720378 0.7917389323 +-20 55 1.44861781975514 0.08610337511 1.837171631 0.7962561482 +-25 55 1.48778355078359 -0.03088720785 1.838491291 0.7971801843 +-30 55 1.53106866746903 -0.1545855295 1.833775395 0.7938780782 +-35 55 1.57884925952216 -0.2855451006 1.821874670 0.7855451006 +-40 55 1.63148958029877 -0.4241490820 1.801357989 0.7711791659 +-45 55 1.68931255780699 -0.5704958701 1.770495870 0.7495692778 + +45 60 1.19601677164974 1.282976770 1.482976770 0.4520518488 +40 60 1.19619456943937 1.203193604 1.538033503 0.4838388688 +35 60 1.19970331846230 1.122061038 1.588395232 0.5129152262 +30 60 1.20634337155004 1.039493157 1.634429558 0.5394931566 +25 60 1.21596300547640 0.9553217028 1.676440543 0.5637482101 +20 60 1.22846086457639 0.8693079865 1.714665354 0.5858173151 +15 60 1.24378446626749 0.7811507925 1.749269042 0.6057957639 +10 60 1.26192835082109 0.6904928625 1.780338708 0.6237338439 +5 60 1.28293672072775 0.5969269701 1.807880338 0.6396350115 +0 60 1.30689669638880 0.5000000000 1.831805739 0.6534483482 +-5 60 1.33394340270598 0.3992194313 1.851927172 0.6650654627 +-10 60 1.36425196570810 0.2940610004 1.867938104 0.6743093790 +-15 60 1.39803882446907 0.1839808391 1.879399565 0.6809266562 +-20 60 1.43555249266704 0.06843476590 1.885715736 0.6845732992 +-25 60 1.47706927196041 -0.05309387947 1.886113652 0.6848030364 +-30 60 1.52287502958533 -0.1810504175 1.879613926 0.6810504175 +-35 60 1.57325449558346 -0.3157519528 1.865014525 0.6726214499 +-40 60 1.62845436917885 -0.4573013667 1.840867343 0.6586800676 +-45 60 1.68865634234953 -0.6054850731 1.805485073 0.6382521045 + +45 65 1.18515281737222 1.295881000 1.495881000 0.3711254055 +40 65 1.18368601825558 1.216516751 1.553911412 0.3981854306 +35 65 1.18571794566291 1.135328203 1.607342707 0.4231008530 +30 65 1.19109984577587 1.052221082 1.656474970 0.4460116036 +25 65 1.19972144129953 0.9670295070 1.701548010 0.4670295070 +20 65 1.21151279908710 0.8795249356 1.742736191 0.4862358711 +15 65 1.22644512739422 0.7894234765 1.780143119 0.5036790084 +10 65 1.24452832594827 0.6963918059 1.813793279 0.5193703354 +5 65 1.26581538011147 0.6000545619 1.843628876 0.5332829031 +0 65 1.29039506711909 0.5000000000 1.869495098 0.5453445202 +-5 65 1.31839646951726 0.3957892412 1.891134423 0.5554351035 +-10 65 1.34997928553730 0.2869675890 1.908166840 0.5633774497 +-15 65 1.38533447204244 0.1730809148 1.920078636 0.5689320114 +-20 65 1.42467097746584 0.05370000106 1.926199169 0.5717860631 +-25 65 1.46821190008619 -0.07154790790 1.925688444 0.5715479079 +-30 65 1.51617089526776 -0.2029314417 1.917512971 0.5677356224 +-35 65 1.56874305958654 -0.3405596908 1.900443647 0.5597760657 +-40 65 1.62606842748600 -0.4843026342 1.873046200 0.5470004267 +-45 65 1.68820636311933 -0.6337030547 1.833703055 0.5286544165 + +45 70 1.17673371573383 1.305816751 1.505816751 0.2932933115 +40 70 1.17391070377873 1.226851572 1.566227972 0.3152811979 +35 70 1.17470067946793 1.145693174 1.622145420 0.3356334845 +30 70 1.17900214699424 1.062231889 1.673814197 0.3544393815 +25 70 1.18674512501825 0.9762954631 1.721418917 0.3717660824 +20 70 1.19789259237539 0.8876567026 1.765078037 0.3876567026 +15 70 1.21244209217733 0.7960406338 1.804838687 0.4021283956 +10 70 1.23042224445058 0.7011303089 1.840666664 0.4151687129 +5 70 1.25189799313700 0.6025755386 1.872443771 0.4267346340 +0 70 1.27696212326104 0.5000000000 1.899951884 0.4367467684 +-5 70 1.30573920021879 0.3930129272 1.922867838 0.4450874934 +-10 70 1.33837443637798 0.2812233443 1.940744070 0.4515939099 +-15 70 1.37503375010772 0.1642595423 1.953000446 0.4560548660 +-20 70 1.41588748876298 0.04179675319 1.958903074 0.4582032468 +-25 70 1.46110732042574 -0.08640964527 1.957559543 0.4577142413 +-30 70 1.51083988721829 -0.2204756715 1.947900469 0.4541986259 +-35 70 1.56519828665034 -0.3603364820 1.928687832 0.4472057980 +-40 70 1.62423226092483 -0.5056776618 1.898519966 0.4362255930 +-45 70 1.68790094378689 -0.6558595082 1.855859508 0.4206984560 + +45 75 1.17046556067523 1.313176958 1.513176958 0.2178901091 +40 75 1.16658421938885 1.234551437 1.575404314 0.2345638791 +35 75 1.16639069580185 1.153458736 1.633235792 0.2500597768 +30 75 1.16982311469210 1.069772261 1.686874505 0.2644322266 +25 75 1.17684662747097 0.9833097944 1.736461199 0.2777189412 +20 75 1.18745413742063 0.8938406875 1.782068396 0.2899393528 +15 75 1.20166795066047 0.8010932949 1.823695474 0.3010932949 +10 75 1.21953521375127 0.7047610818 1.861257801 0.3111580899 +5 75 1.24113327450028 0.6045126182 1.894584693 0.3200880037 +0 75 1.26656004345436 0.5000000000 1.923403057 0.3278098610 +-5 75 1.29593705615861 0.3908724973 1.947333064 0.3342218871 +-10 75 1.32939713082213 0.2767930014 1.965869793 0.3391887888 +-15 75 1.36708398762517 0.1574595985 1.978378182 0.3425404015 +-20 75 1.40913384516724 0.03263521945 1.984074181 0.3440666399 +-25 75 1.45567311249944 -0.09781882902 1.982026616 0.3435179964 +-30 75 1.50679119865586 -0.2338954216 1.971144158 0.3406020505 +-35 75 1.56253274231053 -0.3753933609 1.950191283 0.3349877448 +-40 75 1.62287524789024 -0.5218596532 1.917804913 0.3263098429 +-45 75 1.68770045572924 -0.6725241376 1.872524138 0.3141768958 + +45 80 1.16613413974591 1.318245823 1.518245823 0.1442788155 +40 80 1.16149654054038 1.239876545 1.581750531 0.1554764088 +35 80 1.16059250282296 1.158851341 1.640937230 0.1659126207 +30 80 1.16338976837197 1.075029138 1.695979683 0.1756180904 +25 80 1.16988050092472 0.9882180787 1.746987048 0.1846120651 +20 80 1.18008126121920 0.8981826731 1.793997903 0.1929013472 +15 80 1.19403447554036 0.8046517087 1.836975656 0.2004794845 +10 80 1.21180313276784 0.7073248165 1.875797463 0.2073248165 +5 80 1.23347506322548 0.6058833284 1.910251982 0.2134000778 +0 80 1.25915299598551 0.5000000000 1.940023633 0.2186496232 +-5 80 1.28895662082548 0.3893540524 1.964688968 0.2229987872 +-10 80 1.32300929626123 0.2736491578 1.983699416 0.2263508422 +-15 80 1.36143736877171 0.1526363106 1.996378938 0.2285865839 +-20 80 1.40435026146504 0.02614454659 2.001907158 0.2295613584 +-25 80 1.45183894663131 -0.1058858323 1.999326361 0.2291062941 +-30 80 1.50394931177029 -0.2433576436 1.987533207 0.2270268429 +-35 80 1.56067489360141 -0.3859722463 1.965299498 0.2231064401 +-40 80 1.62194066420578 -0.5331807396 1.931296858 0.2171108574 +-45 80 1.68757397258606 -0.6841265150 1.884126515 0.2087934532 + +45 85 1.16359161982278 1.321213579 1.521213579 0.07184687847 +40 85 1.15850066414756 1.243003066 1.585476573 0.07746916197 +35 85 1.15716775479505 1.162026221 1.645471429 0.08271803168 +30 85 1.15957884209479 1.078132354 1.701354610 0.08760717656 +25 85 1.16574301258057 0.9911228191 1.753216284 0.09214448513 +20 85 1.17569189650991 0.9007582518 1.801074247 0.09633151436 +15 85 1.18948091269690 0.8067668707 1.844869547 0.1001631066 +10 85 1.20718335596506 0.7088514229 1.884455278 0.1036264093 +5 85 1.22889424087682 0.6067007012 1.919594595 0.1067007012 +0 85 1.25471972233428 0.5000000000 1.949945135 0.1093560293 +-5 85 1.28477855089798 0.3884470546 1.975056001 0.1115529454 +-10 85 1.31918822298000 0.2717709276 1.994351389 0.1132410731 +-15 85 1.35806418220682 0.1497555405 2.007130118 0.1143590671 +-20 85 1.40149841888560 0.02227104914 2.012549505 0.1148332020 +-25 85 1.44955940687159 -0.1106935188 2.009636477 0.1145783451 +-30 85 1.50226587844931 -0.2489861635 1.997282089 0.1134974762 +-35 85 1.55958013775822 -0.3922500141 1.974265079 0.1114837488 +-40 85 1.62139515478369 -0.5398799142 1.939280624 0.1084230055 +-45 85 1.68750594751806 -0.6909700746 1.890970075 0.1041963801 + +45 90 1.16275295545739 1.322190500 1.522190500 0.000000000 +40 90 1.15751087996872 1.244033652 1.586704777 0.000000000 +35 90 1.15603450856734 1.163074154 1.646968031 0.000000000 +30 90 1.15831593068184 1.079157965 1.703131022 0.000000000 +25 90 1.16436998894023 0.9920840207 1.755277588 0.000000000 +20 90 1.17423348098249 0.9016115035 1.803418537 0.000000000 +15 90 1.18796632961610 0.8074683110 1.847487359 0.000000000 +10 90 1.20564543206869 0.7093581322 1.887328969 0.000000000 +5 90 1.22736832135476 0.6069721977 1.922697814 0.000000000 +0 90 1.25324238406149 0.5000000000 1.953242384 0.000000000 +-5 90 1.28338609019344 0.3881455321 1.978502419 0.000000000 +-10 90 1.31791495701203 0.2711464694 1.997892867 0.000000000 +-15 90 1.35694072335058 0.1487978977 2.010704089 0.000000000 +-20 90 1.40054928109793 0.02098393414 2.016085824 0.000000000 +-25 90 1.44880146314370 -0.1122899560 2.013060048 0.000000000 +-30 90 1.50170676817363 -0.2508533841 2.000516210 0.000000000 +-35 90 1.55921697572279 -0.3943301164 1.977235773 0.000000000 +-40 90 1.62121433551853 -0.5420964875 1.941922233 0.000000000 +-45 90 1.68748314245462 -0.6932307732 1.893230773 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 1.68748313950282 -0.6932307711 1.893230771 1.461286244e-16 +-90 40 1.75771327728089 -0.8464864887 1.829836316 1.648970368e-16 +-90 35 1.83149174137238 -1.000270204 1.750500506 1.837301103e-16 +-90 30 1.90828677268501 -1.152624823 1.654143386 2.023881699e-16 +-90 25 1.98745792113298 -1.301248590 1.539936012 2.205893321e-16 +-90 20 2.06827465701611 -1.443542433 1.407391595 2.380153020e-16 +-90 15 2.14990941269609 -1.576653026 1.256437501 2.543166481e-16 +-90 10 2.23146198960130 -1.697561068 1.087489308 2.691236128e-16 +-90 5 2.31199360998650 -1.803195776 0.9015035203 2.820601335e-16 +-90 -2.84217e-14 2.39053170612489 -1.890531706 0.7000000000 2.927557002e-16 +-90 -5 2.46609259282886 -1.956708366 0.4850658684 3.008600037e-16 +-90 -10 2.53771485258996 -1.999161262 0.2593304404 3.060589840e-16 +-90 -15 2.60447710034021 -2.015731695 0.02591172390 3.080882768e-16 +-90 -20 2.66550327119886 -2.004753755 -0.2116558109 3.067438668e-16 +-90 -25 2.71998706304590 -1.965145456 -0.4495162045 3.018932492e-16 +-90 -30 2.76720160954407 -1.896466891 -0.6836008048 2.934825508e-16 +-90 -35 2.80651982875726 -1.798966455 -0.9097536419 2.815421911e-16 +-90 -40 2.83742113952306 -1.673590697 -1.123859152 2.661880889e-16 +-90 -45 2.85949206147406 -1.521966227 -1.321966227 2.476194468e-16 + +-85 45 1.68750594268592 -0.6909700712 1.890970071 0.1041963798 +-85 40 1.75756923222377 -0.8433625280 1.827215002 0.1175289922 +-85 35 1.83111339580415 -0.9961230910 1.747596666 0.1308938097 +-85 30 1.90760544852593 -1.147313180 1.651076708 0.1441212286 +-85 25 1.98641096603491 -1.294666881 1.536866911 0.1570130069 +-85 20 2.06680974383161 -1.435635510 1.404513710 0.1693461638 +-85 15 2.14798938678798 -1.567429255 1.253965999 0.1808766225 +-85 10 2.22907231626852 -1.687104765 1.085645580 0.1913468729 +-85 5 2.30914248421805 -1.791668070 0.9004949767 0.2004949767 +-85 -2.84217e-14 2.38725512976956 -1.878170903 0.7000000000 0.2080629940 +-85 -5 2.46245150400832 -1.943816925 0.4861937234 0.2138062766 +-85 -10 2.53379200006552 -1.986087381 0.2616357184 0.2175044624 +-85 -15 2.60037171447903 -2.002845028 0.02936469600 0.2189705665 +-85 -20 2.66132908611260 -1.992422487 -0.2071675965 0.2180587123 +-85 -25 2.71586287817397 -1.953706330 -0.4441820527 0.2146714875 +-85 -30 2.76324396768529 -1.886200046 -0.6776732387 0.2087654529 +-85 -35 2.80283541535610 -1.790074877 -0.9035276921 0.2003555904 +-85 -40 2.83410039802546 -1.666187372 -1.117647024 0.1895168381 +-85 -45 2.85660251140268 -1.516068809 -1.316068809 0.1763831657 + +-80 45 1.68757395618865 -0.6841265035 1.884126503 0.2087934511 +-80 40 1.75713393126362 -0.8339288772 1.819299229 0.2352076514 +-80 35 1.82997407152076 -0.9836307567 1.738849440 0.2616041318 +-80 30 1.90555966095598 -1.131352415 1.641861756 0.2876514457 +-80 25 1.98327515845649 -1.274936331 1.527666404 0.3129691642 +-80 20 2.06243121298298 -1.411983095 1.395904935 0.3371342064 +-80 15 2.14226130252219 -1.539889969 1.246586870 0.3596876392 +-80 10 2.22195296790518 -1.655933246 1.080149200 0.3801492000 +-80 5 2.30065590639579 -1.757340625 0.8974917144 0.3980300568 +-80 -2.84217e-14 2.37750359068949 -1.841383969 0.7000000000 0.4128491659 +-80 -5 2.45161192282058 -1.905454538 0.4895499973 0.4241465359 +-80 -10 2.52210597401458 -1.947167964 0.2684982616 0.4315017384 +-80 -15 2.58813227880514 -1.964454297 0.03965146123 0.4345497854 +-80 -20 2.64886702092931 -1.955640185 -0.1937799334 0.4329956195 +-80 -25 2.70352805015020 -1.919528192 -0.4282445252 0.4266281009 +-80 -30 2.75138336574657 -1.855463326 -0.6599273854 0.4153317365 +-80 -35 2.79176916549907 -1.763395238 -0.8848464077 0.3990976485 +-80 -40 2.82410013951058 -1.643916671 -1.098959688 0.3780303535 +-80 -45 2.84787725558362 -1.498280979 -1.298280979 0.3523508516 + +-75 45 1.68770041748696 -0.6725241110 1.872524111 0.3141768887 +-75 40 1.75641542366853 -0.8180134054 1.805944562 0.3531606276 +-75 35 1.82808083258657 -0.9626578122 1.724164026 0.3919179796 +-75 30 1.90216469381858 -1.104685201 1.626465433 0.4299741037 +-75 25 1.97808459491567 -1.242119902 1.512363852 0.4667996207 +-75 20 2.05520180558143 -1.372804052 1.381644930 0.5018163334 +-75 15 2.13283003698149 -1.494437364 1.234407881 0.5344078811 +-75 10 2.21025480547856 -1.604634295 1.071103811 0.5639350597 +-75 5 2.28673156856200 -1.700967925 0.8925597422 0.5897475780 +-75 -2.84217e-14 2.36151088065330 -1.781044349 0.7000000000 0.6112039911 +-75 -5 2.43382693005025 -1.842546489 0.4950537384 0.6276834400 +-75 -10 2.50290826672914 -1.883302849 0.2797594045 0.6386040737 +-75 -15 2.56798664214886 -1.901358018 0.05655805838 0.6434419416 +-75 -20 2.62830069095080 -1.895040804 -0.1717235626 0.6417492493 +-75 -25 2.68310192440707 -1.863036077 -0.4019018190 0.6331736084 +-75 -30 2.73166316955805 -1.804458429 -0.6304796944 0.6174777751 +-75 -35 2.77328630731146 -1.718922058 -0.8537059516 0.5945583735 +-75 -40 2.80731470674775 -1.606607791 -1.067653821 0.5644638565 +-75 -45 2.83315705609439 -1.468326205 -1.268326205 0.5274114172 + +-70 45 1.68790086649941 -0.6558594552 1.855859455 0.4206984367 +-70 40 1.75542071136465 -0.7953238417 1.786905758 0.4714593221 +-70 35 1.82544393484762 -0.9329818591 1.703384700 0.5215627430 +-70 30 1.89745080902357 -1.067227457 1.604839194 0.5704241446 +-70 25 1.97090408352018 -1.196336199 1.491014560 0.6174158836 +-70 20 2.04523648062148 -1.318473935 1.361870384 0.6618703840 +-70 15 2.11987444324002 -1.431737038 1.217607379 0.7030947822 +-70 10 2.19422398663390 -1.534161985 1.058677641 0.7403744141 +-70 5 2.26768692067079 -1.623763613 0.8858052401 0.7729867397 +-70 -2.84217e-14 2.33965354724159 -1.698555174 0.7000000000 0.8002086416 +-70 -5 2.40950500149113 -1.756580924 0.5025747508 0.8213282876 +-70 -10 2.47660734619504 -1.795946333 0.2951627153 0.8356561245 +-70 -15 2.54030700589326 -1.814856498 0.07973607066 0.8425388620 +-70 -20 2.59993144210403 -1.811667919 -0.1413783141 0.8413783141 +-70 -25 2.65478806729635 -1.784947875 -0.3654886928 0.8316530135 +-70 -30 2.70416620833216 -1.733545929 -0.5895383431 0.8129442349 +-70 -35 2.74733993478830 -1.656674446 -0.8101197047 0.7849653034 +-70 -40 2.78358162431172 -1.554003134 -1.023513273 0.7475960020 +-70 -45 2.81218611107080 -1.425759961 -1.225759961 0.7009193040 + +-65 45 1.68820621948158 -0.6337029582 1.833702958 0.5286543715 +-65 40 1.75416802492681 -0.7654572845 1.761844741 0.5900924228 +-65 35 1.82207973393134 -0.8943035652 1.676301867 0.6501744302 +-65 30 1.89145509240052 -1.018873048 1.576921763 0.7082621342 +-65 25 1.96181797896023 -1.137759254 1.463699682 0.7636996822 +-65 20 2.03269538528279 -1.249519315 1.336772955 0.8158142548 +-65 15 2.10363893772697 -1.352696931 1.196428647 0.8639267674 +-65 10 2.17420104069318 -1.445805857 1.043098072 0.9073441722 +-65 5 2.24394417809861 -1.527340953 0.8773693505 0.9453646119 +-65 -2.84217e-14 2.31242646705532 -1.595770114 0.7000000000 0.9772736539 +-65 -5 2.37918766115024 -1.649529666 0.5119405223 1.002342145 +-65 -10 2.44374854604195 -1.687037971 0.3143661978 1.019832555 +-65 -15 2.50559641730839 -1.706705110 0.1087151478 1.029003492 +-65 -20 2.56417358593008 -1.706956954 -0.1032666397 1.029120929 +-65 -25 2.61887015233514 -1.686277663 -0.3194780171 1.019478017 +-65 -30 2.66901734679536 -1.643269766 -0.5374173764 0.9994231054 +-65 -35 2.71388421661259 -1.576735923 -0.7541461484 0.9683978650 +-65 -40 2.75269085149531 -1.485791920 -0.9662772676 0.9259899797 +-65 -45 2.78461529272532 -1.369988724 -1.169988724 0.8719900629 + +-60 45 1.68865612818799 -0.6054849329 1.805484933 0.6382520236 +-60 40 1.75268078645362 -0.7278982511 1.730328970 0.7089273858 +-60 35 1.81802027935681 -0.8462666332 1.642666045 0.7772674031 +-60 30 1.88423743642952 -0.9595240423 1.542656599 0.8426565987 +-60 25 1.95093842483210 -1.066639253 1.430535881 0.9044995942 +-60 20 2.01777216889111 -1.166608657 1.306595943 0.9622169567 +-60 15 2.08441992353803 -1.258437540 1.171171919 1.015234387 +-60 10 2.15059329812314 -1.341126070 1.024640201 1.062974632 +-60 5 2.21601668159368 -1.413641781 0.8674219619 1.104841597 +-60 -2.84217e-14 2.28041895401065 -1.474900745 0.7000000000 1.140209477 +-60 -5 2.34351434776599 -1.523742423 0.5229454801 1.168408233 +-60 -10 2.40498474720020 -1.558910962 0.3369584466 1.188712798 +-60 -15 2.46446875835011 -1.579050546 0.1429200852 1.200340392 +-60 -20 2.52154552682636 -1.582707686 -0.05804360422 1.202451843 +-60 -25 2.57571830822309 -1.568348931 -0.2644869463 1.194161812 +-60 -30 2.62639826057693 -1.534399345 -0.4745610093 1.174561009 +-60 -35 2.67289276350087 -1.479310342 -0.6859280222 1.142755359 +-60 -40 2.71440029898580 -1.401662531 -0.8956843282 1.097925374 +-60 -45 2.75001126272689 -1.300304968 -1.100304968 1.039406558 + +-55 45 1.68931214492651 -0.5704956084 1.770495608 0.7495690946 +-55 40 1.75099973609525 -0.6820348537 1.691845010 0.8276697150 +-55 35 1.81330788569196 -0.7884727106 1.602198305 0.9021983048 +-55 30 1.87587562781866 -0.8891092385 1.502002593 0.9726647602 +-55 25 1.93841308953169 -0.9833249232 1.391685771 1.038635293 +-55 20 2.00069676691002 -1.070556136 1.271635685 1.099715246 +-55 15 2.06255666759856 -1.150263254 1.142186706 1.155526770 +-55 10 2.12385395127064 -1.221890541 1.003615760 1.205680737 +-55 5 2.18446966613403 -1.284835126 0.8561528398 1.249755010 +-55 -2.84217e-14 2.24429727081958 -1.338420697 0.7000000000 1.287276031 +-55 -5 2.30321169220794 -1.381854070 0.5353591025 1.317688405 +-55 -10 2.36105638966441 -1.414199732 0.3624749407 1.340337082 +-55 -15 2.41763024211185 -1.434359629 0.1816898996 1.354453194 +-55 -20 2.47266649114155 -1.441054534 -0.006486073287 1.359141016 +-55 -25 2.52580874874290 -1.432815605 -0.2012867184 1.353372057 +-55 -30 2.57658770489597 -1.407995249 -0.4015815703 1.335992656 +-55 -35 2.62439698798358 -1.364804056 -0.6057498576 1.305749858 +-55 -40 2.66847436771928 -1.301387884 -0.8115439087 1.261345375 +-55 -45 2.70788247627085 -1.215950665 -1.015950665 1.201521591 + +-50 45 1.69025364779128 -0.5278777285 1.727877728 0.8624918229 +-50 40 1.74918414834639 -0.6271751006 1.645812211 0.9458122111 +-50 35 1.80801028646743 -0.7205205577 1.554617695 1.024138350 +-50 30 1.86647312462296 -0.8076192215 1.454954310 1.097222806 +-50 25 1.92441241545929 -0.8882716336 1.347361694 1.164898216 +-50 20 1.98174026664308 -0.9623248996 1.232242736 1.227036284 +-50 15 2.03842259776367 -1.029631472 1.109863518 1.283513204 +-50 10 2.09446853067564 -1.090016564 0.9803628200 1.334182312 +-50 5 2.14990089576628 -1.143233307 0.8437642859 1.378836462 +-50 -2.84217e-14 2.20475173988646 -1.188937819 0.7000000000 1.417187101 +-50 -5 2.25904099748463 -1.226652339 0.5489374945 1.448833341 +-50 -10 2.31276309588351 -1.255734964 0.3904165549 1.473236561 +-50 -15 2.36587181419009 -1.275349228 0.2242966081 1.489694882 +-50 -20 2.41825902402646 -1.284431817 0.05051993359 1.497316079 +-50 -25 2.46972789186170 -1.281662365 -0.1308028049 1.494992233 +-50 -30 2.51996650684281 -1.265445534 -0.3192804542 1.481384696 +-50 -35 2.56851394949041 -1.233908320 -0.5140956761 1.454921832 +-50 -40 2.61472065058779 -1.184927236 -0.7138218223 1.413821822 +-50 -45 2.65770679873680 -1.116205728 -0.9162057279 1.356157630 + +-45 45 1.69159338637552 -0.4766418970 1.676641897 0.9766418970 +-45 40 1.74731916514366 -0.5625804338 1.591610850 1.062580434 +-45 35 1.80221759983385 -0.6420423584 1.499666668 1.142042358 +-45 30 1.85616664866318 -0.7151463100 1.401565049 1.215146310 +-45 25 1.90914093889231 -0.7820701080 1.297839110 1.282070108 +-45 20 1.96119235181834 -0.8430070263 1.188814582 1.343007026 +-45 15 2.01241791511391 -0.8981204854 1.074625255 1.398120485 +-45 10 2.06294580083923 -0.9475151083 0.9552359686 1.447515108 +-45 5 2.11291730751734 -0.9912073567 0.8304637387 1.491207357 +-45 -2.84217e-14 2.16248151080345 -1.029105340 0.7000000000 1.529105340 +-45 -5 2.21177918049955 -1.060979871 0.5634319573 1.560979871 +-45 -10 2.26093001054371 -1.086435450 0.4202686271 1.586435450 +-45 -15 2.31002628127112 -1.104882883 0.2699729275 1.604882883 +-45 -20 2.35911047032187 -1.115497804 0.1120068859 1.615497804 +-45 -25 2.40815380439805 -1.117178672 -0.05410279931 1.617178672 +-45 -30 2.45702951512514 -1.108503391 -0.2286698659 1.608503391 +-45 -35 2.50547375268659 -1.087686833 -0.4117102888 1.587686833 +-45 -40 2.55303263758893 -1.052551235 -0.6027451686 1.552551235 +-45 -45 2.59899558672952 -1.000530802 -0.8005308016 1.500530802 + + +### -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 2.85949206339003 -1.521966229 -1.321966229 2.476194470e-16 +-40 -90 2.87244148781563 -1.346369798 -1.500417840 2.694734664e-16 +-35 -90 2.87610700214558 -1.149667205 -1.655968930 2.885229810e-16 +-30 -90 2.87043826917759 -0.9352191346 -1.785872461 3.044315753e-16 +-25 -90 2.85551481431600 -0.7067927072 -1.887975312 3.169355682e-16 +-20 -90 2.83152930768181 -0.4684400596 -1.960767196 3.258500030e-16 +-15 -90 2.79880426814254 -0.2243838481 -2.003437325 3.310755867e-16 +-10 -90 2.75777729524833 0.02111699827 -2.015880461 3.325994314e-16 +-5 -90 2.70898165083965 0.2638966921 -1.998673158 3.304921445e-16 +-2.84217e-14 -90 2.65305891083897 0.5000000000 -1.953058911 3.249060103e-16 +5 -90 2.59074747893445 0.7257985208 -1.880888903 3.160677334e-16 +10 -90 2.52286856918098 0.9380915295 -1.784540527 3.042684603e-16 +15 -90 2.45031198740918 1.134187409 -1.666819631 2.898518085e-16 +20 -90 2.37401728339082 1.311961732 -1.530846523 2.731999054e-16 +25 -90 2.29495958922036 1.469891832 -1.379939747 2.547191553e-16 +30 -90 2.21412062367937 1.607060312 -1.217484707 2.348241509e-16 +35 -90 2.13245622824393 1.723126644 -1.046805879 2.139220228e-16 +40 -90 2.05091161006435 1.818300572 -0.8710894422 1.924029657e-16 +45 -90 1.97036931570077 1.893261505 -0.6932615046 1.706253242e-16 + +-45 -85 2.85660251468843 -1.516068812 -1.316068812 0.1763831659 +-40 -85 2.86901096874686 -1.340036879 -1.492870561 0.1918513147 +-35 -85 2.87217241804137 -1.143196023 -1.646727126 0.2053120199 +-30 -85 2.86606487431382 -0.9289367584 -1.774991066 0.2165336606 +-25 -85 2.85079371102104 -0.7010278672 -1.875612573 0.2253369018 +-20 -85 2.82657132725066 -0.4634937411 -1.947177297 0.2315980039 +-15 -85 2.79373216133252 -0.2205029215 -1.988953510 0.2352529489 +-10 -85 2.75271842377442 0.02375986886 -2.000891997 0.2362974312 +-5 -85 2.70406425695282 0.2652153110 -1.983601275 0.2347846890 +-2.84217e-14 -85 2.64840133478789 0.5000000000 -1.938323368 0.2308233854 +5 -85 2.58645257964219 0.7245728677 -1.866879623 0.2245728677 +10 -85 2.51901793952290 0.9358082627 -1.771591477 0.2162362351 +15 -85 2.44696159195081 1.131070867 -1.655188537 0.2060522975 +20 -85 2.37119639786471 1.308270029 -1.520703653 0.1942863947 +25 -85 2.29266888848300 1.465892135 -1.371362369 0.1812207253 +30 -85 2.21233498745819 1.603006011 -1.210462453 0.1671438067 +35 -85 2.13113059801524 1.719239243 -1.041254094 0.1523399936 +40 -85 2.04998477539370 1.814755373 -0.8668644397 0.1370828758 +45 -85 1.96977058125031 1.890180473 -0.6901804729 0.1216250316 + +-45 -80 2.84787726636144 -1.498280986 -1.298280986 0.3523508529 +-40 -80 2.85868043359538 -1.320987432 -1.470168314 0.3826592264 +-35 -80 2.86035374453953 -1.123780867 -1.618999409 0.4089021641 +-30 -80 2.85295772246643 -0.9101325844 -1.742421282 0.4306647702 +-25 -80 2.83667193335892 -0.6838085343 -1.838685594 0.4476387658 +-20 -80 2.81176535231702 -0.4487450406 -1.906655576 0.4596237075 +-15 -80 2.77860630175573 -0.2089469987 -1.945826219 0.4665305487 +-10 -80 2.73764945119713 0.03162138728 -1.956307111 0.4683786127 +-5 -80 2.68942473206205 0.2691357932 -1.938789959 0.4652898662 +-2.84217e-14 -80 2.63453836900818 0.5000000000 -1.894513811 0.4574827868 +5 -80 2.57366685524793 0.7209273791 -1.825211498 0.4452629190 +10 -80 2.50754837383703 0.9290111096 -1.733042906 0.4290111096 +15 -80 2.43697192165935 1.121780757 -1.620517376 0.4091698226 +20 -80 2.36277244698903 1.297245986 -1.490415345 0.3862293243 +25 -80 2.28581367831262 1.453922697 -1.345693825 0.3607110155 +30 -80 2.20697746587956 1.590843658 -1.189396638 0.3331516046 +35 -80 2.12714292190229 1.707547837 -1.024557037 0.3040859354 +40 -80 2.04718898854481 1.804065112 -0.8541242818 0.2740340422 +45 -80 1.96795927000732 1.880865544 -0.6808655442 0.2434838522 + +-45 -75 2.83315708881343 -1.468326228 -1.268326228 0.5274114233 +-40 -75 2.84133989953696 -1.289078124 -1.432140282 0.5713052667 +-35 -75 2.84061156013014 -1.091424252 -1.572789373 0.6089920772 +-30 -75 2.83116465100038 -0.8789427341 -1.688398876 0.6399695501 +-25 -75 2.81328509793396 -0.6553657126 -1.777689766 0.6638949720 +-20 -75 2.78732741463243 -0.4244676579 -1.839954015 0.6805786271 +-15 -75 2.75370714764776 -0.1899765928 -1.875027700 0.6899765928 +-10 -75 2.71289443888493 0.04450253344 -1.883254501 0.6921809574 +-5 -75 2.66540652268094 0.2755530208 -1.865440712 0.6874077670 +-2.84217e-14 -75 2.61180486872242 0.5000000000 -1.822809776 0.6759848421 +5 -75 2.55269243906699 0.7149556182 -1.756953959 0.6583388292 +10 -75 2.48870912360914 0.9178565463 -1.669782234 0.6349812360 +15 -75 2.42052954466160 1.106494677 -1.563468950 0.6064946773 +20 -75 2.34886522197257 1.279043724 -1.440405042 0.5735198024 +25 -75 2.27445546871410 1.434078052 -1.303136846 0.5367389003 +30 -75 2.19806494602148 1.570586158 -1.154309620 0.4968607651 +35 -75 2.12048109195108 1.687978351 -0.9966089133 0.4546049882 +40 -75 2.04249873481046 1.786079784 -0.8326902034 0.4106831022 +45 -75 1.96490827002666 1.865113321 -0.6651133215 0.3657810121 + +-45 -70 2.81218611700646 -1.425759965 -1.225759965 0.7009193055 +-40 -70 2.81681717200204 -1.244091763 -1.378527624 0.7565221863 +-35 -70 2.81289487268369 -1.046153034 -1.508135373 0.8036955490 +-30 -70 2.80077446707097 -0.8356080164 -1.613340943 0.8419872451 +-25 -70 2.78086538168119 -0.6160893243 -1.693461280 0.8711486628 +-20 -70 2.75361706427908 -0.3911133754 -1.748313877 0.8911133754 +-15 -70 2.71949604720416 -0.1640163178 -1.778142635 0.9019701554 +-10 -70 2.67898239202355 0.06208158756 -1.783558731 0.9039414531 +-5 -70 2.63256532948808 0.2842980754 -1.765484280 0.8973628910 +-2.84217e-14 -70 2.58074155289570 0.5000000000 -1.725103793 0.8826655958 +5 -70 2.52401539378767 0.7068077749 -1.663823684 0.8603614601 +10 -70 2.46290280310053 0.9025970789 -1.583241494 0.8310319416 +15 -70 2.39793855392374 1.085501983 -1.485123149 0.7953197845 +20 -70 2.32967677392630 1.253919694 -1.371377335 0.7539196937 +25 -70 2.25870589599387 1.406522680 -1.244044160 0.7075742083 +30 -70 2.18563842284612 1.542267499 -1.105260263 0.6570610009 +35 -70 2.11113411670360 1.660418916 -0.9572499618 0.6031896568 +40 -70 2.03587370326333 1.760554143 -0.8022699285 0.5467815378 +45 -70 1.96056687372110 1.842578704 -0.6425787045 0.4886586856 + +-45 -65 2.78461509055790 -1.369988589 -1.169988589 0.8719899995 +-40 -65 2.78489203145737 -1.185769502 -1.309021860 0.9368222786 +-35 -65 2.77715508546328 -0.9880477753 -1.425152464 0.9909748688 +-30 -65 2.76192350844123 -0.7804907940 -1.517875114 1.034212150 +-25 -65 2.73973996182831 -0.5665304125 -1.587181850 1.066530412 +-20 -65 2.71113129424691 -0.3493033921 -1.633441892 1.088101824 +-15 -65 2.67660194938661 -0.1316397075 -1.657311480 1.099232396 +-10 -65 2.63662468429336 0.08392953174 -1.659652882 1.100324210 +-5 -65 2.59164008895308 0.2951475247 -1.641474506 1.091847494 +-2.84217e-14 -65 2.54206026856852 0.5000000000 -1.603889017 1.074321092 +5 -65 2.48827586011206 0.6966821980 -1.548087810 1.048300562 +10 -65 2.43066651146873 0.8835694021 -1.475330176 1.014373120 +15 -65 2.36960813575760 1.059193566 -1.386938801 0.9731555449 +20 -65 2.30549055555067 1.222230219 -1.284311219 0.9252995177 +25 -65 2.23872617100931 1.371494952 -1.168926956 0.8714949520 +30 -65 2.16976015447339 1.505950344 -1.042357105 0.8124744615 +35 -65 2.09908830542642 1.624727855 -0.9062778447 0.7490196601 +40 -65 2.02725573236522 1.727152021 -0.7624628300 0.6819576174 +45 -65 1.95486981470500 1.812779011 -0.6127790114 0.6121589065 + +-45 -60 2.75001120018706 -1.300304927 -1.100304927 1.039406534 +-40 -60 2.74532283802568 -1.113862417 -1.223326334 1.110432977 +-35 -60 2.73336516564666 -0.9172837122 -1.324090909 1.168609431 +-30 -60 2.71482368094589 -0.7141060595 -1.402893381 1.214106060 +-25 -60 2.69033786474161 -0.5074066497 -1.460390532 1.247302055 +-20 -60 2.66049091992704 -0.2998142823 -1.497471680 1.268710866 +-15 -60 2.62579010744120 -0.09354573854 -1.515142853 1.278913322 +-10 -60 2.58667114161304 0.1095321974 -1.514452950 1.278515007 +-5 -60 2.54350438125391 0.3078360614 -1.496443869 1.268117459 +-2.84217e-14 -60 2.49660361557462 0.5000000000 -1.462122154 1.248301808 +5 -60 2.44623747668821 0.6848153405 -1.412449008 1.219623003 +10 -60 2.39264289306430 0.8611785038 -1.348345082 1.182612585 +15 -60 2.33604408445342 1.028050208 -1.270710204 1.137790067 +20 -60 2.27666263111870 1.184425297 -1.180443049 1.085674301 +25 -60 2.21472951676328 1.329313400 -1.078468326 1.026799167 +30 -60 2.15051506710760 1.461739575 -0.9657818081 0.9617395753 +35 -60 2.08433894408273 1.580755573 -0.8434789175 0.8911279685 +40 -60 2.01658945843967 1.685470027 -0.7127881634 0.8156736264 +45 -60 1.94773731525497 1.775093383 -0.5750933830 0.7361755079 + +-45 -55 2.70788256612539 -1.215950722 -1.015950722 1.201521631 +-40 -55 2.69786733440469 -1.028193407 -1.121229983 1.275238963 +-35 -55 2.68156241509010 -0.8341921050 -1.205423795 1.334192105 +-30 -55 2.65977760420424 -0.6371481687 -1.269598404 1.379127650 +-25 -55 2.63321207886442 -0.4396115500 -1.315003472 1.410920620 +-20 -55 2.60244570062102 -0.2435663688 -1.342931808 1.430476252 +-15 -55 2.56794691467250 -0.05053614072 -1.354628849 1.438666608 +-10 -55 2.53008351806018 0.1383116502 -1.351236563 1.436291304 +-5 -55 2.48913488292292 0.3220687214 -1.333763820 1.424056758 +-2.84217e-14 -55 2.44530655554739 0.5000000000 -1.303077864 1.402570220 +5 -55 2.39874640058298 0.6714700223 -1.259911324 1.372344683 +10 -55 2.34956118162705 0.8358817606 -1.204880123 1.333811421 +15 -55 2.29782816430325 0.9926260128 -1.138505309 1.287335276 +20 -55 2.24361109807245 1.141040755 -1.061245000 1.233237025 +25 -55 2.18697878717496 1.280381704 -0.9735339640 1.171821097 +30 -55 2.12802865043595 1.409806850 -0.8758316886 1.103409227 +35 -55 2.06690410593970 1.528373281 -0.7686692519 1.028373281 +40 -55 2.00381828798881 1.635052809 -0.6527032632 0.9471730218 +45 -55 1.93908070706199 1.728770768 -0.5287707678 0.8603945543 + +-45 -50 2.65770631373470 -1.116205433 -0.9162054330 1.356157383 +-40 -50 2.64231967683826 -0.9287450629 -1.002712062 1.428745063 +-35 -50 2.62186826551827 -0.7393154124 -1.069925836 1.485144116 +-30 -50 2.59721166604734 -0.5505247111 -1.119562174 1.526793949 +-25 -50 2.56903022610586 -0.3642075610 -1.153299095 1.555102587 +-20 -50 2.53784530850310 -0.1815977623 -1.172674461 1.571360450 +-15 -50 2.50404212238744 -0.003485152493 -1.179032170 1.576695201 +-10 -50 2.46789132641839 0.1696512927 -1.173500618 1.572053678 +-5 -50 2.42956588860281 0.3375344623 -1.156989594 1.558199283 +-2.84217e-14 -50 2.38916005173417 0.5000000000 -1.130202781 1.535722479 +5 -50 2.34670849080337 0.6569248476 -1.093659216 1.505058786 +10 -50 2.30220172662729 0.8081697141 -1.047717297 1.466508939 +15 -50 2.25559391441330 0.9535299290 -0.9925967378 1.420257298 +20 -50 2.20681330611386 1.092691369 -0.9284061543 1.366395003 +25 -50 2.15579263923494 1.225196722 -0.8551893892 1.304958843 +30 -50 2.10247411919475 1.350412404 -0.7729574912 1.235958088 +35 -50 2.04683012023664 1.467504031 -0.6817389528 1.159416646 +40 -50 1.98890164368869 1.575431345 -0.5816491690 1.075431345 +45 -50 1.92881611132431 1.672952430 -0.4729524298 0.9842239512 + +-45 -45 2.59899574407899 -1.000530892 -0.8005308925 1.500530892 +-40 -45 2.57857927235033 -0.8157809420 -0.8680866648 1.568086665 +-35 -45 2.55453807524572 -0.6334807472 -0.9187782698 1.618778270 +-30 -45 2.52767476677426 -0.4553712612 -0.9547515644 1.654751564 +-25 -45 2.49857094397485 -0.2824165299 -0.9778976631 1.677897663 +-20 -45 2.46762956046502 -0.1150407995 -0.9898107087 1.689810709 +-15 -45 2.43511144433146 0.04668747535 -0.9917853737 1.691785374 +-10 -45 2.40116613888944 0.2029180481 -0.9848354727 1.684835473 +-5 -45 2.36585575860034 0.3539183780 -0.9697205799 1.669720580 +-2.84217e-14 -45 2.32916897106877 0.5000000000 -0.9469711740 1.646971174 +5 -45 2.29104168088223 0.6414621680 -0.9169199792 1.616919979 +10 -45 2.25136986155093 0.7785485528 -0.8797273431 1.579727343 +15 -45 2.21001164057624 0.9114086682 -0.8353980525 1.535398052 +20 -45 2.16679859487358 1.040060616 -0.7838043473 1.483804347 +25 -45 2.12154856241796 1.164353625 -0.7247109467 1.424710947 +30 -45 2.07407547249397 1.283926843 -0.6578011214 1.357801121 +35 -45 2.02421357870866 1.398169083 -0.5827183851 1.282718385 +40 -45 1.97182967102029 1.506172635 -0.4991098530 1.199109853 +45 -45 1.91686958858381 1.606705173 -0.4067051730 1.106705173 + + diff --git a/test/Kerr-modification-radius-EE.par b/test/Kerr-modification-radius-EE.par new file mode 100644 index 0000000..60ecb76 --- /dev/null +++ b/test/Kerr-modification-radius-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_modification[1] = "radius" +AHFinderDirect::desired_value[1] = 0.2 diff --git a/test/Kerr-modification-radius-EE/BH_diagnostics.ah1.gp b/test/Kerr-modification-radius-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..f4b5513 --- /dev/null +++ b/test/Kerr-modification-radius-EE/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 +0 0.000 0.030746 0.031179 0.000000 1.435837062 3.068776638 2.318568502 1.679595319 0.006169074050 0.000000000 1.682917909 0.000000000 1.561149956 -2.212909923 2.278236870 -2.218536650 2.276039843 -2.158934933 2.158934933 14.57621318 13.24906079 13.56151207 0.9089508107 0.9303865071 63.17424361 1.121076110 2.242152219 0.09910475501 -1.205360963 -0.1195262533 0.6522328589 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6257555221 0.6831015379 40.90462266 diff --git a/test/Kerr-modification-radius-EE/h.t0.ah1.gp b/test/Kerr-modification-radius-EE/h.t0.ah1.gp new file mode 100644 index 0000000..331bfa1 --- /dev/null +++ b/test/Kerr-modification-radius-EE/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 2.80358873092669 -1.118652708 -0.9186527085 1.618652708 +-40 -45 2.78490173918027 -0.9210618511 -0.9935555663 1.693555566 +-35 -45 2.76291703244290 -0.7259411174 -1.050825363 1.750825363 +-30 -45 2.73838220635882 -0.5350111875 -1.092691963 1.792691963 +-25 -45 2.71183368507821 -0.3491988217 -1.121112750 1.821112750 +-20 -45 2.68363895045741 -0.1688797509 -1.137732012 1.837732012 +-15 -45 2.65403353293686 0.005933642537 -1.143880748 1.843880748 +-10 -45 2.62314977676051 0.1754533378 -1.140595585 1.840595585 +-5 -45 2.59103720862947 0.3400143725 -1.128644090 1.828644090 +0 -45 2.55768050411096 0.5000000000 -1.108553229 1.808553229 +5 -45 2.52301428965743 0.6557854989 -1.080636401 1.780636401 +10 -45 2.48693272252827 0.8076933393 -1.045015641 1.745015641 +15 -45 2.44929496629349 0.9559528835 -1.001639327 1.701639327 +20 -45 2.40993076092361 1.100659745 -0.9502990855 1.650299086 +25 -45 2.36865590837302 1.241734206 -0.8906541389 1.590654139 +30 -45 2.32528021491814 1.378873311 -0.8222532281 1.522253228 +35 -45 2.27961763774604 1.511495083 -0.7445646871 1.444564687 +40 -45 2.23151184266123 1.638681593 -0.6570278797 1.357027880 +45 -45 2.18086532075311 1.759123180 -0.5591231800 1.259123180 + +-45 -40 2.75963435341001 -1.178189954 -0.7081685710 1.678189954 +-40 -40 2.73965951105843 -0.9813782885 -0.7813782885 1.765437897 +-35 -40 2.71624885777835 -0.7839276167 -0.8386055288 1.833638667 +-30 -40 2.69012008305534 -0.5881044699 -0.8814109876 1.884652226 +-25 -40 2.66181602031438 -0.3954201891 -0.9112683059 1.920234792 +-20 -40 2.63173267603727 -0.2068134126 -0.9294927935 1.941953891 +-15 -40 2.60014523416281 -0.02280850550 -0.9372074876 1.951147905 +-10 -40 2.56723102189745 0.1563538109 -0.9353333414 1.948914385 +-5 -40 2.53308922358063 0.3306118370 -0.9245938546 1.936115563 +0 -40 2.49775822010540 0.5000000000 -0.9055280359 1.913393805 +5 -40 2.46123047460187 0.6645829547 -0.8785073288 1.881191780 +10 -40 2.42346386632483 0.8244017056 -0.8437532612 1.839773495 +15 -40 2.38438995698707 0.9794268157 -0.8013550165 1.789245235 +20 -40 2.34392145902207 1.129514973 -0.7512884081 1.729578174 +25 -40 2.30196862692479 1.274369516 -0.6934430710 1.660640786 +30 -40 2.25845168263506 1.413502481 -0.6276508838 1.582232710 +35 -40 2.21331047358435 1.546196645 -0.5537186060 1.494123653 +40 -40 2.16652606566684 1.671475748 -0.4714757481 1.396110431 +45 -40 2.11814522528891 1.788087327 -0.3808336008 1.288087327 + +-45 -35 2.71437491623360 -1.220064842 -0.5044023685 1.720064842 +-40 -35 2.69257508997038 -1.025195642 -0.5727374033 1.817657386 +-35 -35 2.66734335337021 -0.8271175130 -0.6271175130 1.895320231 +-30 -35 2.63935940851132 -0.6284186742 -0.6685405621 1.954478476 +-25 -35 2.60916227738551 -0.4310298367 -0.6980343203 1.996599928 +-20 -35 2.57716609511774 -0.2363435228 -0.7165809092 2.023087202 +-15 -35 2.54367778850720 -0.04533313945 -0.7250700725 2.035210983 +-10 -35 2.50891604196363 0.1413376489 -0.7242748382 2.034075271 +-5 -35 2.47302803024968 0.3232200905 -0.7148418805 2.020603612 +0 -35 2.43610533385653 0.5000000000 -0.6972926160 1.995540664 +5 -35 2.39819841973459 0.6714308509 -0.6720311782 1.959463592 +10 -35 2.35932772979659 0.8372779385 -0.6393557474 1.912798241 +15 -35 2.31949341941024 0.9972707762 -0.5994730190 1.855839802 +20 -35 2.27868337596838 1.151061547 -0.5525150686 1.788776899 +25 -35 2.23688915504265 1.298191267 -0.4985639363 1.711726697 +30 -35 2.19411862850307 1.438062632 -0.4376776999 1.624772139 +35 -35 2.15040402303425 1.569918065 -0.3699180649 1.528001352 +40 -35 2.10581585317966 1.692828818 -0.2953856480 1.421558029 +45 -35 2.06048203673782 1.805701245 -0.2142618547 1.305701245 + +-45 -30 2.66845875399355 -1.246916318 -0.3085826067 1.746916318 +-40 -30 2.64438021925640 -1.054522402 -0.3696035299 1.852607658 +-35 -30 2.61698278939263 -0.8569380078 -0.4188518851 1.937908311 +-30 -30 2.58691178241179 -0.6569021195 -0.4569021195 2.003813250 +-25 -30 2.55469967024213 -0.4566164420 -0.4844170917 2.051470580 +-20 -30 2.52077419287430 -0.2578117207 -0.5020840161 2.082070591 +-15 -30 2.48547141685384 -0.06182745283 -0.5105699151 2.096768599 +-10 -30 2.44904844352137 0.1303068648 -0.5104921793 2.096633957 +-5 -30 2.41169739234119 0.3177941925 -0.5024023199 2.082621909 +0 -30 2.37355928860577 0.5000000000 -0.4867796443 2.055562641 +5 -30 2.33473714066986 0.6763913944 -0.4640321722 2.016162864 +10 -30 2.29530766288835 0.8464853823 -0.4345026605 1.965016249 +15 -30 2.25533011625722 1.009805249 -0.3984776444 1.902619091 +20 -30 2.21485317934151 1.165843733 -0.3561991679 1.829390622 +25 -30 2.17392801492114 1.314035132 -0.3078826591 1.745703974 +30 -30 2.13262262319000 1.453737831 -0.2537378312 1.651922381 +35 -30 2.09102487918051 1.584222313 -0.1939864401 1.548429936 +40 -30 2.04925171943130 1.704670827 -0.1288849148 1.435670786 +45 -30 2.00746049771767 1.814191384 -0.05874874911 1.314191384 + +-45 -25 2.62229230802900 -1.260981871 -0.1211593323 1.760981871 +-40 -25 2.59558264124868 -1.071175473 -0.1731396466 1.872454015 +-35 -25 2.56575228846703 -0.8747744967 -0.2155398094 1.963381457 +-30 -25 2.53342022080213 -0.6745514531 -0.2486482759 2.034382793 +-25 -25 2.49911442674504 -0.4728593142 -0.2728593142 2.086303532 +-20 -25 2.46327713450578 -0.2716592813 -0.2886265372 2.120116451 +-15 -25 2.42627102920525 -0.07256519725 -0.2964259785 2.136842407 +-10 -25 2.38838808316282 0.1231023118 -0.2967293584 2.137493007 +-5 -25 2.34986065319473 0.3142586336 -0.2899867948 2.123033533 +0 -25 2.31087304547092 0.5000000000 -0.2766171496 2.094362236 +5 -25 2.27157272763278 0.6795532095 -0.2570044082 2.052302576 +10 -25 2.23208080535973 0.8522317421 -0.2314987312 1.997605475 +15 -25 2.19250126373559 1.017398882 -0.2004209303 1.930958916 +20 -25 2.15292521019926 1.174436789 -0.1640680196 1.852999848 +25 -25 2.11344074306209 1.322723638 -0.1227236376 1.764336534 +30 -25 2.07414759869057 1.461622180 -0.07667199754 1.665578474 +35 -25 2.03515631363387 1.590471987 -0.02620674716 1.557355395 +40 -25 1.99659505060310 1.708592292 0.02835646639 1.440344206 +45 -25 1.95861537787469 1.815294318 0.08666818683 1.315294318 + +-45 -20 2.57610266177765 -1.264092121 0.05792297753 1.764092121 +-40 -20 2.54651447404948 -1.076728146 0.01607393034 1.879071433 +-35 -20 2.51407312896374 -0.8819008427 -0.01831670757 1.973558934 +-30 -20 2.47938067030905 -0.6823446472 -0.04536772767 2.047881001 +-25 -20 2.44296555009316 -0.4804745631 -0.06529636643 2.102634486 +-20 -20 2.40528443223160 -0.2783875097 -0.07838750967 2.138602106 +-15 -20 2.36672378260186 -0.07788030724 -0.08496683978 2.156678667 +-10 -20 2.32760547391026 0.1195192260 -0.08537995645 2.157813696 +-5 -20 2.28819515375493 0.3125143969 -0.07997738380 2.142970250 +0 -20 2.24871144858754 0.5000000000 -0.06910461194 2.113097555 +5 -20 2.20933517615619 0.6810241304 -0.05309637284 2.069115279 +10 -20 2.17021824612073 0.8547535556 -0.03227440420 2.011907390 +15 -20 2.13149191911300 1.020444005 -0.006947928637 1.942323471 +20 -20 2.09327031617336 1.177414881 0.02258511857 1.861182090 +25 -20 2.05565762593201 1.325030059 0.05603377146 1.769282672 +30 -20 2.01876101702477 1.462688510 0.09310678268 1.667425411 +35 -20 1.98268815110848 1.589816519 0.1335097064 1.556419290 +40 -20 1.94755308579151 1.705868570 0.1769390314 1.437098200 +45 -20 1.91348043901798 1.810334334 0.2230773055 1.310334334 + +-45 -15 2.52998783935268 -1.257700426 0.2290255904 1.757700426 +-40 -15 2.49737445292372 -1.072496836 0.1978555089 1.874028754 +-35 -15 2.46223627623398 -0.8794432787 0.1721269161 1.970049169 +-30 -15 2.42516721015211 -0.6811982402 0.1518039889 2.045895366 +-25 -15 2.38669960837946 -0.4801747060 0.1367730911 2.101991440 +-20 -15 2.34730261466242 -0.2785254574 0.1268617377 2.138981115 +-15 -15 2.30738148239703 -0.07814398125 0.1218560188 2.157662712 +-10 -15 2.26728050620050 0.1193215218 0.1215151283 2.158934933 +-5 -15 2.22728897920656 0.3124457643 0.1255826529 2.143754724 +0 -15 2.18764829592131 0.5000000000 0.1337949570 2.113105988 +5 -15 2.14855939145149 0.6809246211 0.1458869966 2.067977882 +10 -15 2.11019021409364 0.8543028740 0.1615959023 2.009351448 +15 -15 2.07268284416369 1.019337232 0.1806627684 1.938192935 +20 -15 2.03615590988461 1.175328013 0.2028340817 1.855448467 +25 -15 2.00071258120714 1.321656759 0.2278604987 1.762048607 +30 -15 1.96644968825541 1.457775984 0.2554946189 1.658916667 +35 -15 1.93345541232361 1.583199082 0.2854910104 1.546968609 +40 -15 1.90181578177493 1.697497354 0.3176038732 1.427121774 +45 -15 1.87161687525605 1.800299443 0.3515858143 1.300299443 + +-45 -10 2.48395420846225 -1.242925696 0.3926751745 1.742925696 +-40 -10 2.44826219180795 -1.059549864 0.3722788230 1.858599153 +-35 -10 2.41043212152304 -0.8683669610 0.3554164279 1.954230548 +-30 -10 2.37105547599209 -0.6719425632 0.3420801985 2.029864063 +-25 -10 2.33066844767781 -0.4726416250 0.3322107131 2.085836696 +-20 -10 2.28974741339553 -0.2726059008 0.3257076735 2.122717267 +-15 -10 2.24870809527663 -0.07374621730 0.3224398466 2.141250034 +-10 -10 2.20790651334650 0.1222539780 0.3222539780 2.142304147 +-5 -10 2.16764313122492 0.3139262995 0.3249821122 2.126832129 +0 -10 2.12816845790961 0.5000000000 0.3304474255 2.095836797 +5 -10 2.08968929386630 0.6793820275 0.3384686880 2.050345957 +10 -10 2.05237526570916 0.8511365121 0.3488634879 1.991394117 +15 -10 2.01636467273731 1.014464997 0.3614505206 1.920009508 +20 -10 1.98176631136050 1.168687008 0.3760516383 1.837202454 +25 -10 1.94866933652921 1.313224597 0.3924917801 1.743965777 +30 -10 1.91714979289760 1.447590415 0.4105989800 1.641274743 +35 -10 1.88726832253931 1.571374546 0.4302053626 1.530081422 +40 -10 1.85907808436368 1.684237940 0.4511462375 1.411319819 +45 -10 1.83262521804493 1.785905180 0.4732602222 1.285905180 + +-45 -5 2.43794304929899 -1.220596730 0.5494672916 1.720596730 +-40 -5 2.39920552176899 -1.038727697 0.5395646658 1.833784261 +-35 -5 2.35877664442576 -0.8494776212 0.5313871430 1.927253775 +-30 -5 2.31724541870099 -0.6553113074 0.5249301202 2.001057883 +-25 -5 2.27514756138918 -0.4585104712 0.5201642228 2.055532339 +-20 -5 2.23295759545867 -0.2611485500 0.5170403425 2.091238454 +-15 -5 2.19108951412110 -0.06508151285 0.5154940275 2.108912916 +-10 -5 2.14989699272208 0.1280523221 0.5154496543 2.109420104 +-5 -5 2.10967667200412 0.3168239604 0.5168239604 2.093711713 +0 -5 2.07067316748790 0.5000000000 0.5195289421 2.062793631 +5 -5 2.03308495560795 0.6765258417 0.5234741583 2.017699604 +10 -5 1.99707046084126 0.8455075862 0.5285685104 1.959470892 +15 -5 1.96275207292472 1.006193336 0.5347217319 1.889139249 +20 -5 1.93021988966259 1.157954308 0.5418454652 1.807714605 +25 -5 1.89954252709202 1.300269588 0.5498533843 1.716183671 +30 -5 1.87076992249486 1.432711584 0.5586617270 1.615503852 +35 -5 1.84393418548209 1.554931557 0.5681897195 1.506598400 +40 -5 1.81905799185141 1.666650747 0.5783592426 1.390360219 +45 -5 1.79615339852725 1.767648834 0.5890950977 1.267648834 + +-45 0 2.39185265171273 -1.191295230 0.7000000000 1.691295230 +-40 0 2.35018493617990 -1.010669757 0.7000000000 1.800346111 +-35 0 2.30733430231732 -0.8234325866 0.7000000000 1.890057611 +-30 0 2.26388240226327 -0.6319412011 0.7000000000 1.960579672 +-25 0 2.22035385535501 -0.4383620868 0.7000000000 2.012323989 +-20 0 2.17720910749607 -0.2446493710 0.7000000000 2.045907332 +-15 0 2.13484434807371 -0.05253837561 0.7000000000 2.062101291 +-10 0 2.09359390547288 0.1364512335 0.7000000000 2.061787510 +-5 0 2.05373386382224 0.3210052997 0.7000000000 2.045918786 +0 0 2.01548755011257 0.5000000000 0.7000000000 2.015487550 +5 0 1.97903189656897 0.6724839949 0.7000000000 1.971501083 +10 0 1.94450269109157 0.8376593488 0.7000000000 1.914961326 +15 0 1.91199866453240 0.9948616686 0.7000000000 1.846848890 +20 0 1.88158720055252 1.143540724 0.7000000000 1.768113608 +25 0 1.85331429176381 1.283244464 0.7000000000 1.679673174 +30 0 1.82720543779946 1.413602719 0.7000000000 1.582406327 +35 0 1.80326908768744 1.534312657 0.7000000000 1.477151560 +40 0 1.78150410936988 1.645128768 0.7000000000 1.364711323 +45 0 1.76189878060277 1.745850576 0.7000000000 1.245850576 + +-45 5 2.34555428289192 -1.155392660 0.8448280914 1.655392660 +-40 5 2.30115112398126 -0.9758406217 0.8538784177 1.758838363 +-35 5 2.25613608296356 -0.7907560203 0.8612757832 1.843390638 +-30 5 2.21107368582705 -0.6023771630 0.8670485143 1.909373255 +-25 5 2.16646181812878 -0.4127216069 0.8712448684 1.957337802 +-20 5 2.12272886892602 -0.2235748695 0.8739279544 1.988005615 +-15 5 2.08023523429027 -0.03649221800 0.8751712208 2.002216215 +-10 5 2.03927716112505 0.1471903504 0.8750545753 2.000882952 +-5 5 2.00009290086581 0.3263387460 0.8736612540 1.984957216 +0 5 1.96286968026445 0.5000000000 0.8710753649 1.955400369 +5 5 1.92775067266533 0.6673800247 0.8673800247 1.913162437 +10 5 1.89484078035413 0.8278211145 0.8626559422 1.859165927 +15 5 1.86421144704583 0.9807797299 0.8569804172 1.794294379 +20 5 1.83590705564367 1.125805880 0.8504269166 1.719387525 +25 5 1.80995267963942 1.262525748 0.8430651147 1.635241743 +30 5 1.78635575037809 1.390625128 0.8349607098 1.542607972 +35 5 1.76511013043010 1.509835597 0.8261756864 1.442194694 +40 5 1.74620104942533 1.619924031 0.8167687996 1.334673487 +45 5 1.72960604303454 1.720682535 0.8067958836 1.220682535 + +-45 10 2.29890178955930 -1.113079254 0.9844293945 1.613079254 +-40 10 2.25203616616644 -0.9345533367 1.001454618 1.709634093 +-35 10 2.20519314652900 -0.7518558052 1.015243613 1.787835373 +-30 10 2.15890294937290 -0.5670818468 1.025894574 1.848239975 +-25 10 2.11361594723697 -0.3820606173 1.033537489 1.891585098 +-20 10 2.06970687509584 -0.1983598869 1.038323519 1.918728020 +-15 10 2.02747985864640 -0.01730097917 1.040415729 1.930593537 +-10 10 1.98717437477043 0.1600185694 1.039981431 1.928130506 +-5 10 1.94897438491415 0.3326971489 1.037186618 1.912280339 +0 10 1.91301786300133 0.5000000000 1.032192066 1.883954823 +5 10 1.87940527647480 0.6613309357 1.025150661 1.844021033 +10 10 1.84820584273189 0.8162056005 1.016205600 1.793291073 +15 10 1.81946242946853 0.9642264101 1.005489412 1.732516549 +20 10 1.79319796921838 1.105060333 0.9931241393 1.662389602 +25 10 1.76942259768335 1.238420805 0.9792223304 1.583548526 +30 10 1.74813439428141 1.364051105 0.9638875057 1.496580413 +35 10 1.72932383836716 1.481711779 0.9472156674 1.402029720 +40 10 1.71297513504296 1.591169952 0.9292966126 1.300405711 +45 10 1.69906973728612 1.692192792 0.9102157555 1.192192792 + +-45 15 2.25173993386140 -1.064388642 1.119176673 1.564388642 +-40 15 2.20276592975274 -0.8869936288 1.142907861 1.652954640 +-35 15 2.15450961333265 -0.7070424897 1.161900283 1.723835326 +-30 15 2.10744128979459 -0.5264471383 1.176375775 1.777858595 +-25 15 2.06194011416238 -0.3468018087 1.186588322 1.815972339 +-20 15 2.01830300165304 -0.1694067726 1.192806794 1.839179992 +-15 15 1.97675592035998 0.004698487671 1.195301512 1.848490409 +-10 15 1.93746486570102 0.1746978706 1.194334120 1.844880052 +-5 15 1.90054573157303 0.3399599668 1.190150334 1.829265950 +0 15 1.86607725806375 0.5000000000 1.182976334 1.802492217 +5 15 1.83411137965365 0.6544457685 1.173016929 1.765323212 +10 15 1.80467905154471 0.8030072693 1.160454508 1.718439618 +15 15 1.77779460529237 0.9454492067 1.145449207 1.662439072 +20 15 1.75346452863878 1.081568293 1.128141479 1.597845752 +25 15 1.73169110182624 1.211174465 1.108654287 1.525118561 +30 15 1.71247260475975 1.334074293 1.087095227 1.444659053 +35 15 1.69580753403212 1.450059232 1.063560216 1.356825198 +40 15 1.68169395293444 1.558895440 1.038136459 1.261942445 +45 15 1.67013126769357 1.660318004 1.010906272 1.160318004 + +-45 20 2.20391851818857 -1.009223740 1.249312518 1.509223740 +-40 20 2.15327640028254 -0.8332464990 1.278312780 1.588901305 +-35 20 2.10409733924447 -0.6565510378 1.301179121 1.651726059 +-30 20 2.05676205226885 -0.4808100999 1.318317339 1.698812926 +-25 20 2.01155004096759 -0.3073276545 1.330148852 1.731319742 +-20 20 1.96865662525784 -0.1370879499 1.337087950 1.750384757 +-15 20 1.92821039526195 0.02919101763 1.339525927 1.757083043 +-10 20 1.89028881672262 0.1910049577 1.337820698 1.752397966 +-5 20 1.85493066359721 0.3480143647 1.332290460 1.737203761 +0 20 1.82214912083083 0.5000000000 1.323211703 1.712260083 +5 20 1.79194432952598 0.6468247858 1.310820300 1.678214981 +10 20 1.76430895671611 0.7884018125 1.295312611 1.635607956 +15 20 1.73923201921295 0.9246663430 1.276847823 1.584876368 +20 20 1.71670814600640 1.055553497 1.255553497 1.526370689 +25 20 1.69673823750924 1.180979182 1.231529234 1.460364569 +30 20 1.67932971449975 1.300823578 1.204851146 1.387067124 +35 20 1.66449989658812 1.414919213 1.175578085 1.306640051 +40 20 1.65227398845614 1.523040289 1.143756855 1.219211940 +45 20 1.64268420653567 1.624895490 1.109428475 1.124895490 + +-45 25 2.15529803674443 -0.9473751678 1.374922125 1.447375168 +-40 25 2.10352247829060 -0.7733183189 1.407613329 1.517481681 +-35 25 2.05398814141447 -0.6005624066 1.432926526 1.571766007 +-30 25 2.00695214333933 -0.4304688330 1.451510419 1.611619294 +-25 25 1.96256550270312 -0.2639906795 1.463990679 1.638383299 +-20 25 1.92090015268881 -0.1017513866 1.470945680 1.653298347 +-15 25 1.88197183141732 0.05588161426 1.472892064 1.657472380 +-10 25 1.84575977556908 0.2087313417 1.470278067 1.651866646 +-5 25 1.81222094176839 0.3567555938 1.463481358 1.637291055 +0 25 1.78130143458988 0.5000000000 1.452810516 1.614407361 +5 25 1.75295024864913 0.6385594392 1.438510854 1.583741638 +10 25 1.72712390512109 0.7725474188 1.420768586 1.545693221 +15 25 1.70378979364407 0.9020699780 1.399715898 1.500545586 +20 25 1.68293394215686 1.027204827 1.375438883 1.448483358 +25 25 1.66456045891123 1.147982793 1.347982793 1.389603584 +30 25 1.64869368492101 1.264372032 1.317359256 1.323931196 +35 25 1.63537896402845 1.376264362 1.283553818 1.251435202 +40 25 1.62467940986283 1.483461825 1.246533169 1.172044163 +45 25 1.61667461059938 1.585666412 1.206254562 1.085666412 + +-45 30 2.10576250705571 -0.8785451549 1.495903416 1.378545155 +-40 30 2.05348781679534 -0.7071610545 1.530598339 1.438638524 +-35 30 2.00424177316996 -0.5392241974 1.556883620 1.484165966 +-30 30 1.95811784449727 -0.3756969217 1.575696922 1.516751560 +-25 30 1.91511286301429 -0.2171208711 1.587890046 1.537870671 +-20 30 1.87515922670186 -0.06372270243 1.594208986 1.548815396 +-15 30 1.83815074346266 0.08449590564 1.595286896 1.550682391 +-10 30 1.80396518106068 0.2276846257 1.591646610 1.544377232 +-5 30 1.77247833974549 0.3660877405 1.583706254 1.530624130 +0 30 1.74357267900524 0.5000000000 1.571786340 1.509978233 +5 30 1.71714983342473 0.6297321434 1.556121066 1.482845184 +10 30 1.69313373487912 0.7555849479 1.536865906 1.449494268 +15 30 1.67147354171588 0.8778276089 1.514105352 1.410071833 +20 30 1.65214955340696 0.9966800674 1.487862148 1.364617270 +25 30 1.63517235331057 1.112296145 1.458103234 1.313073319 +30 30 1.62058719971895 1.224748628 1.424748628 1.255301447 +35 30 1.60847067386138 1.334011978 1.387677601 1.191092544 +40 30 1.59893142367123 1.439946041 1.346738575 1.120184071 +45 30 1.59210862120986 1.542279753 1.301760496 1.042279753 + +-45 35 2.05524013052551 -0.8023795162 1.611935955 1.302379516 +-40 35 2.00320432731333 -0.6347050343 1.646882812 1.352288801 +-35 35 1.95495735873244 -0.4726749819 1.672674982 1.389123837 +-30 35 1.91039294018988 -0.3167599539 1.690562414 1.414669738 +-25 35 1.86933161644809 -0.1670353640 1.701620244 1.430461954 +-20 35 1.83155783940876 -0.02330959739 1.706745306 1.437781302 +-15 35 1.79684434066542 0.1147787389 1.706664093 1.437665318 +-10 35 1.76497149443160 0.2476883183 1.701948430 1.430930653 +-5 35 1.73574058143029 0.3759237424 1.693033010 1.418198114 +0 35 1.70897804597324 0.5000000000 1.680229537 1.399912860 +5 35 1.68454447038719 0.6204165967 1.663743248 1.376367999 +10 35 1.66233626383800 0.7376394518 1.643683915 1.347720302 +15 35 1.64228756759291 0.8520861955 1.620075205 1.314003570 +20 35 1.62437400336844 0.9641133834 1.592863369 1.275141041 +25 35 1.60861279320687 1.074002820 1.561922584 1.230953021 +30 35 1.59506767059772 1.181947347 1.527062354 1.181167453 +35 35 1.58384751672761 1.288031948 1.488031948 1.125426255 +40 35 1.57511032670031 1.392213337 1.444529590 1.063298450 +45 35 1.56906028820046 1.494293537 1.396211830 0.9942935371 + +-45 40 2.00372182394917 -0.7185041219 1.722446359 1.218504122 +-40 40 1.95276656904572 -0.5558925247 1.755892525 1.258363710 +-35 40 1.90628486662842 -0.4010705254 1.779805492 1.286862075 +-30 40 1.86394407108793 -0.2539313535 1.795736080 1.305847410 +-25 40 1.82537781075762 -0.1140470010 1.804949925 1.316828043 +-20 40 1.79022348507711 0.01919357834 1.808454629 1.321004787 +-15 40 1.75814288212695 0.1464920341 1.807032274 1.319309689 +-10 40 1.72883154124406 0.2685808695 1.801270527 1.312443107 +-5 40 1.70202853488944 0.3861850249 1.791594040 1.300911118 +0 40 1.67751580209443 0.5000000000 1.778286373 1.285051658 +5 40 1.65512203170948 0.6106783282 1.761510608 1.265059080 +10 40 1.63472151821008 0.7188216858 1.741322179 1.240999448 +15 40 1.61623578503640 0.8249748530 1.717679049 1.212822663 +20 40 1.59963476132555 0.9296193587 1.690447601 1.180369487 +25 40 1.58494008513724 1.033165080 1.659406550 1.143376203 +30 40 1.57222866167168 1.135937795 1.624248585 1.101476572 +35 40 1.56163676869459 1.238160853 1.584581308 1.054202951 +40 40 1.55336459743994 1.339929407 1.539929407 1.000988888 +45 40 1.54768111551853 1.441176463 1.489740823 0.9411764628 + +-45 45 1.95128661240431 -0.6265758509 1.826575851 1.126575851 +-40 45 1.90234956538101 -0.4707187714 1.856857583 1.156857583 +-35 45 1.85843799213002 -0.3246123651 1.877668506 1.177668506 +-30 45 1.81897830263773 -0.1875091756 1.890800823 1.190800823 +-25 45 1.78342566466504 -0.05847192303 1.897646904 1.197646904 +-20 45 1.75128611951180 0.06350319660 1.899265111 1.199265111 +-15 45 1.72212884660122 0.1794140256 1.896443145 1.196443145 +-10 45 1.69558527301627 0.2902153565 1.889747835 1.189747835 +-5 45 1.67134933913553 0.3968012223 1.879567426 1.179567426 +0 45 1.64917239940930 0.5000000000 1.866140987 1.166140987 +5 45 1.62886124852941 0.6005753171 1.849581135 1.149581135 +10 45 1.61027450609587 0.6992296516 1.829887501 1.129887501 +15 45 1.59332324876964 0.7966079381 1.806955895 1.106955895 +20 45 1.57797023422212 0.8932989335 1.780579939 1.080579939 +25 45 1.56423579660735 0.9898335774 1.750451497 1.050451497 +30 45 1.55220087240903 1.086676785 1.716153999 1.016153999 +35 45 1.54201695473496 1.184212362 1.677156521 0.9771565209 +40 45 1.53391460594733 1.282716136 1.632804767 0.9328047674 +45 45 1.52821681200147 1.382316388 1.582316388 0.8823163878 + + +### +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 2.18086557667642 1.759123328 -0.5591233278 1.259123328 +45 -40 2.11814539168200 1.788087428 -0.3808336857 1.288087428 +45 -35 2.06048213662709 1.805701309 -0.2142618990 1.305701309 +45 -30 2.00746056600949 1.814191428 -0.05874877492 1.314191428 +45 -25 1.95861545354091 1.815294369 0.08666816314 1.315294369 +45 -20 1.91348047741503 1.810334360 0.2230772959 1.310334360 +45 -15 1.87161689890983 1.800299459 0.3515858099 1.300299459 +45 -10 1.83262523583266 1.785905192 0.4732602200 1.285905192 +45 -5 1.79615340821596 1.767648841 0.5890950971 1.267648841 +45 0 1.76189878776886 1.745850581 0.7000000000 1.245850581 +45 5 1.72960604808936 1.720682539 0.8067958839 1.220682539 +45 10 1.69906974099842 1.692192795 0.9102157560 1.192192795 +45 15 1.67013127838354 1.660318012 1.010906274 1.160318012 +45 20 1.64268422313421 1.624895501 1.109428479 1.124895501 +45 25 1.61667463369110 1.585666427 1.206254569 1.085666427 +45 30 1.59210864919542 1.542279771 1.301760507 1.042279771 +45 35 1.56906032578633 1.494293561 1.396211847 0.9942935609 +45 40 1.54768113626436 1.441176475 1.489740833 0.9411764754 +45 45 1.52821690151766 1.382316439 1.582316439 0.8823164395 + +50 -45 2.19339609677128 1.833848917 -0.6338489170 1.119232134 +50 -40 2.12767673720834 1.871075906 -0.4504692867 1.150469287 +50 -35 2.06654908413860 1.895050493 -0.2768248711 1.170586354 +50 -30 2.00982172983637 1.908046808 -0.1129362037 1.181491557 +50 -25 1.95720800466063 1.911930380 0.04160605083 1.184750261 +50 -20 1.90837870253019 1.908191447 0.1874602290 1.181612924 +50 -15 1.86299704752621 1.897992212 0.3254091159 1.173054749 +50 -10 1.82073775505910 1.882213744 0.4562784239 1.159815043 +50 -5 1.78130471224966 1.861504263 0.5808838117 1.142437725 +50 0 1.74443748446849 1.836316641 0.7000000000 1.121302801 +50 5 1.70991492382952 1.806938920 0.8143423395 1.096651966 +50 10 1.67756146045456 1.773521406 0.9245561845 1.068611342 +50 15 1.64724571596506 1.736092502 1.031209988 1.037204763 +50 20 1.61888744590397 1.694576031 1.134790118 1.002368307 +50 25 1.59245679897776 1.648798763 1.235693661 0.9639566180 +50 30 1.56798378160455 1.598502681 1.334220819 0.9217531947 +50 35 1.54556025040215 1.543350291 1.430561739 0.8754748445 +50 40 1.52534875402701 1.482935466 1.524780787 0.8247807866 +50 45 1.50758739389661 1.416794653 1.616794653 0.7692820549 + +55 -45 2.20415810640350 1.896746942 -0.6967469424 0.9780127380 +55 -40 2.13608287291025 1.941990169 -0.5099734193 1.009692387 +55 -35 2.07209379016809 1.972356859 -0.3309553714 1.030955371 +55 -30 2.01219849772585 1.990058020 -0.1602853987 1.043349858 +55 -25 1.95628378930039 1.997000055 0.001937410101 1.048210723 +55 -20 1.90416443209902 1.994777810 0.1559453702 1.046654691 +55 -15 1.85561650874283 1.984689262 0.3021787111 1.039590613 +55 -10 1.81040429294889 1.967764780 0.4411934679 1.027739963 +55 -5 1.76830126192416 1.944802029 0.5735962014 1.011661272 +55 0 1.72909975555174 1.916395600 0.7000000000 0.9917708759 +55 5 1.69262009292949 1.882966239 0.8209938679 0.9683633853 +55 10 1.65871977066999 1.844788271 0.9371224556 0.9416308850 +55 15 1.62729328288263 1.802006558 1.048871606 0.9116748069 +55 20 1.59828125785333 1.754658116 1.156658208 0.8785210707 +55 25 1.57166879238845 1.702682495 1.260820058 0.8421273491 +55 30 1.54749379035144 1.645938403 1.361607845 0.8023947079 +55 35 1.52584524672659 1.584211885 1.459173335 0.7591733350 +55 40 1.50687169920025 1.517233088 1.553559909 0.7122742763 +55 45 1.49077845218904 1.444687334 1.644687334 0.6614771924 + +60 -45 2.21322730859638 1.948897382 -0.7488973817 0.8365212933 +60 -40 2.14333025424796 2.001580602 -0.5599757295 0.8669379649 +60 -35 2.07702003542286 2.038059175 -0.3769606283 0.8879988785 +60 -30 2.01447007335783 2.060401809 -0.2008984045 0.9008984045 +60 -25 1.95572482535143 2.070482820 -0.03232816590 0.9067186788 +60 -20 1.90073714875283 2.069941857 0.1285878944 0.9064063540 +60 -15 1.84939998324998 2.060172362 0.2819530755 0.9007659334 +60 -10 1.80157435081342 2.042330438 0.4280455306 0.8904648938 +60 -5 1.75711116223364 2.017353800 0.5672487439 0.8760446251 +60 0 1.71586251131906 1.985980524 0.7000000000 0.8579312557 +60 5 1.67769498301789 1.948773938 0.8267512956 0.8364500232 +60 10 1.64249996554853 1.906146624 0.9479415887 0.8118391321 +60 15 1.61019496327616 1.858376610 1.063975916 0.7842591014 +60 20 1.58073422775468 1.805630729 1.175210722 0.7538062530 +60 25 1.55410780053963 1.747977000 1.281941232 0.7205198571 +60 30 1.53034820247635 1.685402620 1.384392522 0.6843925220 +60 35 1.50952743250321 1.617823842 1.482708681 0.6453758963 +60 40 1.49176349986674 1.545104052 1.576946425 0.6033911060 +60 45 1.47721439998123 1.467063829 1.667063829 0.5583345622 + +65 -45 2.22069711541802 1.991293457 -0.7912934569 0.6954015595 +65 -40 2.14941522318636 2.050588720 -0.6010984226 0.7230513946 +65 -35 2.08126003523996 2.092635181 -0.4151751595 0.7426579816 +65 -30 2.01653732835451 2.119316372 -0.2349127436 0.7550996255 +65 -25 1.95542541829660 2.132422635 -0.06121117587 0.7612111759 +65 -20 1.89800272766032 2.133590776 0.1054215824 0.7617558893 +65 -15 1.84427467768376 2.124272101 0.2647776024 0.7574105194 +65 -10 1.79419878600574 2.105722029 0.4168678828 0.7487604788 +65 -5 1.74770495664159 2.079002663 0.5618551674 0.7363010338 +65 0 1.70470651435794 2.044988789 0.7000000000 0.7204401039 +65 5 1.66511665730603 2.004386439 0.8316167589 0.7015069171 +65 10 1.62885984398175 1.957751590 0.9570409365 0.6797607301 +65 15 1.59587352796631 1.905502596 1.076603286 0.6553966241 +65 20 1.56611995542420 1.847942801 1.190611057 0.6285560511 +65 25 1.53958570281192 1.785272517 1.299332417 0.5993324175 +65 30 1.51628809162324 1.717607082 1.402985777 0.5677795070 +65 35 1.49627245684852 1.644987227 1.501728687 0.5339163122 +65 40 1.47961734343899 1.567396349 1.595651883 0.4977350919 +65 45 1.46642913619084 1.484770125 1.684770125 0.4592058508 + +70 -45 2.22666004746054 2.024796936 -0.8247969360 0.5549806980 +70 -40 2.15434910857042 2.089692856 -0.6339106890 0.5786008811 +70 -35 2.08476765254859 2.136552167 -0.4459261637 0.5956562755 +70 -30 2.01832111924527 2.167062071 -0.2624787352 0.6067609724 +70 -25 1.95529597985646 2.182902470 -0.08475030952 0.6125264061 +70 -20 1.89587818651169 2.185675519 0.08646428653 0.6135357135 +70 -15 1.84017401329923 2.176859830 0.2506867629 0.6103270650 +70 -10 1.78823031466414 2.157784323 0.4076878957 0.6033841484 +70 -5 1.74005165021162 2.129615775 0.5574270938 0.5931316355 +70 0 1.69560964226997 2.093351869 0.7000000000 0.5799326529 +70 5 1.65486130467432 2.049832206 0.8355927484 0.5640927912 +70 10 1.61776040062193 1.999749673 0.9644463317 0.5458642400 +70 15 1.58426061686229 1.943658572 1.086827148 0.5254487486 +70 20 1.55432711531963 1.881993413 1.203004466 0.5030044665 +70 25 1.52793787690219 1.815079892 1.313231825 0.4786499365 +70 30 1.50508980201217 1.743151101 1.417733623 0.4524699975 +70 35 1.48579877052891 1.666358848 1.516693257 0.4245199030 +70 40 1.47010194721064 1.584787305 1.610244627 0.3948302894 +70 45 1.45805617255311 1.498463859 1.698463859 0.3634111248 + +75 -45 2.23120104329770 2.050119318 -0.8501193178 0.4153532194 +75 -40 2.15815343385346 2.119477442 -0.6589029239 0.4339376726 +75 -35 2.08751587205185 2.170233254 -0.4695099153 0.4475376517 +75 -30 2.01976470882563 2.203893752 -0.2837435166 0.4565569549 +75 -25 1.95526836542654 2.222025408 -0.1029936355 0.4614153175 +75 -20 1.89429853958453 2.226180841 0.07172155485 0.4625287624 +75 -15 1.83704529750913 2.217845172 0.2397047735 0.4602952265 +75 -10 1.78363164968799 2.198397999 0.4005266088 0.4550843723 +75 -5 1.73412686060975 2.169088602 0.5539736689 0.4472309431 +75 0 1.68855361427647 2.131017545 0.7000000000 0.4370298341 +75 5 1.64690703646195 2.085139949 0.8386817757 0.4247369693 +75 10 1.60916546744461 2.032268959 0.9701803591 0.4105702300 +75 15 1.57529428639545 1.973078365 1.094710158 0.3947101584 +75 20 1.54525864450780 1.908117998 1.212513038 0.3773040804 +75 25 1.51902566141851 1.837821872 1.323836584 0.3584682902 +75 30 1.49657080462958 1.762522131 1.428917492 0.3382917854 +75 35 1.47788154486947 1.682461382 1.527968373 0.3168395723 +75 40 1.46295768072808 1.597802837 1.621165955 0.2941553836 +75 45 1.45181370920675 1.508642625 1.708642625 0.2702649767 + +80 -45 2.23439289323768 2.067815049 -0.8678150485 0.2764480938 +80 -40 2.16085253730997 2.140412007 -0.6764691101 0.2892488963 +80 -35 2.08948897305857 2.194029524 -0.4861722430 0.2987031113 +80 -30 2.02082591259594 2.230032021 -0.2988344532 0.3050513228 +80 -25 1.95528804841865 2.249889207 -0.1159867384 0.3085526805 +80 -20 1.89320993253286 2.255105995 0.06119365974 0.3094725410 +80 -15 1.83484422737308 2.247163303 0.2318490039 0.3080720300 +80 -10 1.78037183429962 2.227472581 0.3953999755 0.3046000245 +80 -5 1.72991137569951 2.197341708 0.5515018424 0.2992871386 +80 0 1.68352558094116 2.157949045 0.7000000000 0.2923411492 +80 5 1.64123892999410 2.110338731 0.8408863834 0.2839461663 +80 10 1.60304818125270 2.055417653 0.9742620984 0.2742620984 +80 15 1.56892653073563 1.993952903 1.100303474 0.2634242047 +80 20 1.53883759615258 1.926584049 1.219234130 0.2515452581 +80 25 1.51273871359983 1.853828737 1.331300708 0.2387165336 +80 30 1.49058715054558 1.776093841 1.436753123 0.2250097741 +80 35 1.47234701843570 1.693688673 1.535829807 0.2104795196 +80 40 1.45798886417500 1.606832788 1.628742984 0.1951644837 +80 45 1.44749493059753 1.515669331 1.715669331 0.1790899065 + +85 -45 2.23628630430591 2.078275958 -0.8782759585 0.1380812543 +85 -40 2.16246330423081 2.152835130 -0.6868933483 0.1446043366 +85 -35 2.09067547752776 2.208199975 -0.4960944996 0.1494481329 +85 -30 2.02147307908301 2.245643602 -0.3078478037 0.1527240258 +85 -25 1.95531418454050 2.266571807 -0.1237659623 0.1545550064 +85 -20 1.89257138006732 2.272455534 0.05487894410 0.1550697658 +85 -15 1.83353592523916 2.264769340 0.2271314806 0.1543973110 +85 -10 1.77842486641400 2.244941818 0.3923196778 0.1526626276 +85 -5 1.72738783775852 2.214315846 0.5500167978 0.1499832022 +85 0 1.68051281089057 2.174117952 0.7000000000 0.1464663422 +85 5 1.63784289087669 2.125448530 0.8422083195 0.1422083195 +85 10 1.59938627781186 2.069274053 0.9767053557 0.1372936896 +85 15 1.56512069314270 2.006420995 1.103644289 0.1317947595 +85 20 1.53500800646090 1.937585638 1.223238382 0.1257724462 +85 25 1.50899873958427 1.863338256 1.335735069 0.1192766420 +85 30 1.48703804725561 1.784132092 1.441394009 0.1123470005 +85 35 1.46907478432932 1.700317092 1.540471076 0.1050141382 +85 40 1.45506090126795 1.612146398 1.633201632 0.09730020200 +85 45 1.44495859630974 1.519790449 1.719790449 0.08922010343 + +90 -45 2.23691293514295 2.081736305 -0.8817363054 0.000000000 +90 -40 2.16299785207407 2.156952485 -0.6903482191 0.000000000 +90 -35 2.09107053790234 2.212904706 -0.4993887873 0.000000000 +90 -30 2.02168966651504 2.250834610 -0.3108448333 0.000000000 +90 -25 1.95532444195457 2.272125768 -0.1263558168 0.000000000 +90 -20 1.89236015146822 2.278236870 0.05277470977 0.000000000 +90 -15 1.83310108263219 2.270639678 0.2255585282 0.000000000 +90 -10 1.77777656679241 2.250768146 0.3912923389 0.000000000 +90 -5 1.72654682034998 2.219976788 0.5495215295 0.000000000 +90 0 1.67950844403748 2.179508444 0.7000000000 0.000000000 +90 5 1.63671090240589 2.130482723 0.8426487544 0.000000000 +90 10 1.59816629535763 2.073886558 0.9775186648 0.000000000 +90 15 1.56385382790982 2.010566801 1.104755154 0.000000000 +90 20 1.53373463221856 1.941239116 1.224568139 0.000000000 +90 25 1.50775680221859 1.866491731 1.337205559 0.000000000 +90 30 1.48586125272442 1.786793591 1.442930626 0.000000000 +90 35 1.46799154412698 1.702508274 1.542005358 0.000000000 +90 40 1.45409327029581 1.613900069 1.634673137 0.000000000 +90 45 1.44412183518470 1.521148343 1.721148343 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 1.52821693599984 1.382316459 1.582316459 0.8823164594 +40 45 1.53391466365584 1.282716166 1.632804803 0.9328048025 +35 45 1.54201700964781 1.184212386 1.677156556 0.9771565557 +30 45 1.55220090002555 1.086676795 1.716154017 1.016154017 +25 45 1.56423584234307 0.9898335918 1.750451527 1.050451527 +20 45 1.57797025154008 0.8932989378 1.780579951 1.080579951 +15 45 1.59332326130864 0.7966079404 1.806955904 1.106955904 +10 45 1.61027451305738 0.6992296525 1.829887506 1.129887506 +5 45 1.62886125393408 0.6005753175 1.849581139 1.149581139 +0 45 1.64917240632969 0.5000000000 1.866140992 1.166140992 +-5 45 1.67134935016474 0.3968012217 1.879567434 1.179567434 +-10 45 1.69558529036163 0.2902153543 1.889747847 1.189747847 +-15 45 1.72212887530764 0.1794140202 1.896443165 1.196443165 +-20 45 1.75128616454874 0.06350318537 1.899265142 1.199265142 +-25 45 1.78342574508408 -0.05847194821 1.897646958 1.197646958 +-30 45 1.81897839008283 -0.1875092086 1.890800880 1.190800880 +-35 45 1.85843820493169 -0.3246124595 1.877668640 1.177668640 +-40 45 1.90234982355049 -0.4707189031 1.856857740 1.156857740 +-45 45 1.95128683471459 -0.6265759793 1.826575979 1.126575979 + +45 50 1.50758743942404 1.416794680 1.616794680 0.7692820781 +40 50 1.51101811121553 1.317031976 1.673700792 0.8170319759 +35 50 1.51728422545518 1.217196112 1.724262197 0.8594580321 +30 50 1.52608261397854 1.117272561 1.769147438 0.8971212211 +25 50 1.53718584216868 1.017100816 1.808926280 0.9304996322 +20 50 1.55043575458616 0.9164058138 1.844065571 0.9599849984 +15 50 1.56574010051454 0.8148217381 1.874930722 0.9858839355 +10 50 1.58306531676647 0.7119070542 1.901784624 1.008417035 +5 50 1.60243465916760 0.6071551135 1.924788552 1.027719622 +0 50 1.62392405115312 0.5000000000 1.943997995 1.043838259 +-5 50 1.64766169465486 0.3898205459 1.959356923 1.056725929 +-10 50 1.67382628130971 0.2759438017 1.970685844 1.066232023 +-15 50 1.70264910200070 0.1576501110 1.977667180 1.072090059 +-20 50 1.73441139105041 0.03418322262 1.979821077 1.073897394 +-25 50 1.76944675917197 -0.09523210453 1.976479367 1.071093366 +-30 50 1.80813278518996 -0.2313567071 1.966746975 1.062926920 +-35 50 1.85088528327461 -0.3748840238 1.949463875 1.048424676 +-40 50 1.89813897993729 -0.5263545021 1.923161665 1.026354502 +-45 50 1.95031432240389 -0.6860259306 1.886025931 0.9951939209 + +45 55 1.49077847143798 1.444687346 1.644687346 0.6614772009 +40 55 1.49208297878211 1.345182912 1.707249772 0.7052838834 +35 55 1.49655495183410 1.244600159 1.763399233 0.7446001593 +30 55 1.50393195383606 1.142983633 1.813680321 0.7798073558 +25 55 1.51401030123881 1.040245724 1.858560694 0.8112329313 +20 55 1.52664448292564 0.9361902707 1.898422919 0.8391447620 +15 55 1.54174507513452 0.8305311254 1.933558953 0.8637472780 +10 55 1.55927626830984 0.7229064995 1.964165578 0.8851782673 +5 55 1.57925404438416 0.6128901022 1.990339772 0.9035056355 +0 55 1.60174418040717 0.5000000000 2.012072020 0.9187227189 +-5 55 1.62686114965540 0.3837067905 2.029237467 0.9307420944 +-10 55 1.65476527594787 0.2634428596 2.041582210 0.9393859763 +-15 55 1.68566345572307 0.1386145492 2.048708864 0.9443761132 +-20 55 1.71980223411488 0.008621024484 2.050052640 0.9453170352 +-25 55 1.75746748057574 -0.1271187789 2.044860561 0.9416815029 +-30 55 1.79897104325284 -0.2691231869 2.032160437 0.9327887800 +-35 55 1.84463838160825 -0.4177865678 2.010735057 0.9177865678 +-40 55 1.89478772870986 -0.5732929963 1.979100784 0.8956360113 +-45 55 1.94969350707848 -0.7354959641 1.935495964 0.8651035875 + +45 60 1.47721442144122 1.467063843 1.667063843 0.5583345703 +40 60 1.47660647782693 1.368036235 1.734485301 0.5972603673 +35 60 1.47941190997978 1.267093409 1.795522923 0.6325004547 +30 60 1.48542013135918 1.164300078 1.850601486 0.6643000778 +25 60 1.49446464928589 1.059607641 1.900082459 0.6928679305 +20 60 1.50642466522146 0.9528712928 1.944253651 0.7183701804 +15 60 1.52122502733837 0.8438647399 1.983320680 0.7409255402 +10 60 1.53883693012521 0.7322932610 2.017400548 0.7606015610 +5 60 1.55927588610814 0.6178046312 2.046513096 0.7774096986 +0 60 1.58260147621026 0.5000000000 2.070573082 0.7913007381 +-5 60 1.60891520529824 0.3784450756 2.089379143 0.8021584224 +-10 60 1.63835684654223 0.2526838308 2.102599694 0.8097913109 +-15 60 1.67110412544634 0.1222558957 2.109760190 0.8139254250 +-20 60 1.70736241723425 -0.01327852172 2.110221148 0.8141915596 +-25 60 1.74736151008389 -0.1543057762 2.103163265 0.8101166888 +-30 60 1.79134150158743 -0.3011122737 2.087567161 0.8011122737 +-35 60 1.83953434674744 -0.4538213556 2.062198068 0.7864654211 +-40 60 1.89214366461634 -0.6123134614 2.025603564 0.7653375744 +-45 60 1.94931268529472 -0.7761247048 1.976124705 0.7367709418 + +45 65 1.46642914014847 1.484770128 1.684770128 0.4592058520 +40 65 1.46416834850830 1.386300194 1.756251440 0.4925381354 +35 65 1.46549628695274 1.285238283 1.821436488 0.5229344225 +30 65 1.47025667842197 1.181644563 1.880643015 0.5505428794 +25 65 1.47832540289140 1.075484909 1.934131369 0.5754849087 +20 65 1.48961391551645 0.9666443687 1.982094866 0.5978506545 +15 65 1.50406913951167 0.8549387654 2.024649506 0.6176942090 +10 65 1.52167617687838 0.7401269029 2.061827339 0.6350305171 +5 65 1.54245565726986 0.6219211960 2.093565648 0.6498303336 +0 65 1.56646440138219 0.5000000000 2.119698885 0.6620164624 +-5 65 1.59379234253331 0.3740209693 2.139946910 0.6714582716 +-10 65 1.62455810561727 0.2436378959 2.153901740 0.6779655156 +-15 65 1.65890791692594 0.1085215018 2.161017645 0.6812837167 +-20 65 1.69700315253559 -0.03161222286 2.160592578 0.6810855047 +-25 65 1.73901480444126 -0.1769665014 2.151759347 0.6769665014 +-30 65 1.78511073197552 -0.3276180899 2.133476581 0.6684411075 +-35 65 1.83543372711120 -0.4834571676 2.104522394 0.6549395482 +-40 65 1.89008336627470 -0.6441179257 2.063506648 0.6358135920 +-45 65 1.94908968233444 -0.8088974044 2.008897404 0.6103488834 + +45 70 1.45805617896933 1.498463864 1.698463864 0.3634111264 +40 70 1.45442711353262 1.400539223 1.773220855 0.3906204459 +35 70 1.45450713024399 1.299493303 1.841794767 0.4155793087 +30 70 1.45819083991086 1.195368870 1.904414212 0.4383709230 +25 70 1.46539599050952 1.088130886 1.961250755 0.4590577329 +20 70 1.47606809495582 0.9776786284 2.012411245 0.4776786284 +15 70 1.49017916744971 0.8638553859 2.057926787 0.4942449306 +10 70 1.50773174993804 0.7464605577 2.097747280 0.5087384049 +5 70 1.52875503789042 0.6252601029 2.131729527 0.5211069314 +0 70 1.55330591765641 0.5000000000 2.159630109 0.5312619126 +-5 70 1.58146471895515 0.3704210757 2.181093882 0.5390740873 +-10 70 1.61333005748155 0.2362778719 2.195642510 0.5443693549 +-15 70 1.64901733801771 0.09736127513 2.202668178 0.5469264889 +-20 70 1.68864508731403 -0.04647185448 2.201419081 0.5464718545 +-25 70 1.73232821215927 -0.1952630777 2.190996482 0.5426783387 +-30 70 1.78016709565306 -0.3489099967 2.170355245 0.5351655431 +-35 70 1.83222520800126 -0.5071121360 2.138305190 0.5235002768 +-40 70 1.88851305143393 -0.6693126873 2.093532596 0.5072043854 +-45 70 1.94896827649929 -0.8346360886 2.034636089 0.4857678098 + +45 75 1.45181371175371 1.508642626 1.708642626 0.2702649772 +40 75 1.44711482616028 1.411190343 1.785914365 0.2909698772 +35 75 1.44620410023232 1.310221401 1.857116079 0.3100483189 +30 75 1.44901864399091 1.205756809 1.922406652 0.3275428751 +25 75 1.45551320591589 1.097753158 1.981885785 0.3434802608 +20 75 1.46566446665152 0.9861141858 2.035587749 0.3578696587 +15 75 1.47946895010041 0.8706998931 2.083470836 0.3706998931 +10 75 1.49694695617092 0.7513387680 2.125412986 0.3819382584 +5 75 1.51813751014129 0.6278384274 2.161199911 0.3915273362 +0 75 1.54309928441855 0.5000000000 2.190519451 0.3993834833 +-5 75 1.57190519764995 0.3676339349 2.212951047 0.4053940113 +-10 75 1.60463629199784 0.2305800936 2.227956217 0.4094146344 +-15 75 1.64138043974962 0.08873110952 2.234876395 0.4112688905 +-20 75 1.68221842470708 -0.05793823106 2.232922691 0.4107453972 +-25 75 1.72721638918292 -0.2093367806 2.221177635 0.4075983188 +-30 75 1.77641661533346 -0.3652187656 2.198602862 0.4015494266 +-35 75 1.82981783386198 -0.5251371636 2.164047597 0.3922903712 +-40 75 1.88735934033981 -0.6883947109 2.116273666 0.3794893851 +-45 75 1.94890783305490 -0.8539970724 2.053997072 0.3628024221 + +45 80 1.44749493213078 1.515669332 1.715669332 0.1790899067 +40 80 1.44203000024827 1.418577143 1.794717611 0.1930282510 +35 80 1.44040195176620 1.317695061 1.867789572 0.2059128093 +30 80 1.44257974922893 1.213024485 1.934994635 0.2177628751 +25 80 1.44854675512111 1.104511925 1.996380007 0.2285867724 +20 80 1.45830436153683 0.9920606300 2.051925470 0.2383809363 +15 80 1.47186931935365 0.8755398293 2.101533723 0.2471282098 +10 80 1.48927702179813 0.7547972331 2.145026916 0.2547972331 +5 80 1.51057536356483 0.6296700291 2.182135214 0.2613404273 +0 80 1.53582534364974 0.5000000000 2.212492706 0.2666932721 +-5 80 1.56509412601385 0.3656499995 2.235627532 0.2707725663 +-10 80 1.59844926103723 0.2265247210 2.250955378 0.2734752790 +-15 80 1.63595726900921 0.08259398064 2.257780472 0.2746787272 +-20 80 1.67766946052978 -0.06607873741 2.255288549 0.2742393339 +-25 80 1.72361426833307 -0.2193039338 2.242552264 0.2719935833 +-30 80 1.77378938953532 -0.3767316095 2.218543692 0.2677602243 +-35 80 1.82814531098540 -0.5378112792 2.182148110 0.2613427012 +-40 80 1.88657013680311 -0.7017504538 2.132190421 0.2525338127 +-45 80 1.94888102477577 -0.8674788385 2.067478839 0.2411234148 + +45 85 1.44495859703868 1.519790449 1.719790449 0.08922010347 +40 85 1.43903394663112 1.422922763 1.799896519 0.09622847647 +35 85 1.43697225390762 1.322104926 1.874087512 0.1027193472 +30 85 1.43876200978794 1.217324978 1.942443307 0.1086997044 +25 85 1.44440465383737 1.108521842 2.004979302 0.1141708950 +20 85 1.45391744214461 0.9955970302 2.061641650 0.1191282081 +15 85 1.46733033902218 0.8784241778 2.112298258 0.1235600871 +10 85 1.48468882031539 0.7568618688 2.156736046 0.1274478898 +5 85 1.50604691248677 0.6307649236 2.194649916 0.1307649236 +0 85 1.53146749738257 0.5000000000 2.225639801 0.1334761872 +-5 85 1.56101407473239 0.3644624649 2.249201115 0.1355375351 +-10 85 1.59474584538336 0.2240974725 2.264720988 0.1368953480 +-15 85 1.63271574314825 0.07892296219 2.271480899 0.1374867636 +-20 85 1.67495634537263 -0.07094259032 2.268651875 0.1372392561 +-25 85 1.72147227032773 -0.2252493091 2.255302162 0.1360713076 +-30 85 1.77223331344608 -0.3835840907 2.230412538 0.1338937476 +-35 85 1.82716031027383 -0.5453350701 2.192893197 0.1306112306 +-40 85 1.88611041417684 -0.7096547407 2.141610383 0.1261245657 +-45 85 1.94887147452141 -0.8754307704 2.075430770 0.1203345999 + +45 90 1.44412183564420 1.521148343 1.721148343 0.000000000 +40 90 1.43804387408020 1.424356784 1.801605519 0.000000000 +35 90 1.43583706190378 1.323562305 1.876168865 0.000000000 +30 90 1.43749645359967 1.218748227 1.944908447 0.000000000 +25 90 1.44302964684879 1.109850681 2.007829006 0.000000000 +20 90 1.45245936465900 0.9967703601 2.064865347 0.000000000 +15 90 1.46582015165148 0.8793821719 2.115873541 0.000000000 +10 90 1.48316101951446 0.7575482082 2.160628471 0.000000000 +5 90 1.50453817698149 0.6311291423 2.198812955 0.000000000 +0 90 1.53001521368711 0.5000000000 2.230015214 0.000000000 +-5 90 1.55965438712568 0.3640671635 2.253719431 0.000000000 +-10 90 1.59351206127131 0.2232895345 2.269303032 0.000000000 +-15 90 1.63163650868072 0.07770139687 2.276039843 0.000000000 +-20 90 1.67405388278569 -0.07256014893 2.273096080 0.000000000 +-25 90 1.72076066356361 -0.2272248805 2.259538789 0.000000000 +-30 90 1.77171716310429 -0.3858585816 2.234352072 0.000000000 +-35 90 1.82683422282066 -0.5478290633 2.196454988 0.000000000 +-40 90 1.88595863369163 -0.7122708421 2.144728131 0.000000000 +-45 90 1.94886856767141 -0.8780581798 2.078058180 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 1.94886856312989 -0.8780581766 2.078058177 1.687634535e-16 +-90 40 2.01526524320353 -1.043782741 1.995387529 1.890588592e-16 +-90 35 2.08476521629313 -1.207739689 1.895772203 2.091377944e-16 +-90 30 2.15689049678889 -1.367921963 1.778445248 2.287544654e-16 +-90 25 2.23107745996381 -1.522042875 1.642894078 2.476288335e-16 +-90 20 2.30668066998100 -1.667570804 1.488931253 2.654508647e-16 +-90 15 2.38297669837147 -1.801778736 1.316759754 2.818865962e-16 +-90 10 2.45917468513684 -1.921814296 1.127031203 2.965867126e-16 +-90 5 2.53443946337208 -2.024795156 0.9208909539 3.091982306e-16 +-90 -2.84217e-14 2.60789720301274 -2.107897203 0.7000000000 3.193752962e-16 +-90 -5 2.67865982697005 -2.168466718 0.4665394132 3.267929224e-16 +-90 -10 2.74584956336483 -2.204133939 0.2231882272 3.311608972e-16 +-90 -15 2.80861102272766 -2.212909923 -0.02692202297 3.322356453e-16 +-90 -20 2.86612274420909 -2.193274393 -0.2802717118 3.298309865e-16 +-90 -25 2.91762519155002 -2.144266431 -0.5330416869 3.238292421e-16 +-90 -30 2.96243558564768 -2.065544474 -0.7812177928 3.141885828e-16 +-90 -35 2.99995849495164 -1.957422134 -1.020705503 3.009474150e-16 +-90 -40 3.02969612122497 -1.820881878 -1.247451128 2.842260563e-16 +-90 -45 3.05125200674227 -1.657560985 -1.457560985 2.642250154e-16 + +-85 45 1.94887146734703 -0.8754307653 2.075430765 0.1203345994 +-85 40 2.01510567154465 -1.040205301 1.992385700 0.1347505034 +-85 35 2.08438030972217 -1.203056468 1.892492977 0.1489981343 +-85 30 2.15621692830591 -1.362001688 1.775027176 0.1629040392 +-85 25 2.23005712361916 -1.514794386 1.639514052 0.1762716682 +-85 20 2.30526531313336 -1.658957017 1.485796091 0.1888842640 +-85 15 2.38113229054596 -1.791828157 1.314093504 0.2005089825 +-85 10 2.45688804465383 -1.910631324 1.125059343 0.2109029128 +-85 5 2.53171891438191 -2.012560155 0.9198205300 0.2198205300 +-85 -2.84217e-14 2.60477560911196 -2.094863652 0.7000000000 0.2270211529 +-85 -5 2.67519342283104 -2.154948921 0.4677220672 0.2322779328 +-85 -10 2.74211516715814 -2.190488372 0.2255943087 0.2353872319 +-85 -15 2.80470300763724 -2.199512896 -0.02333230041 0.2361767754 +-85 -20 2.86214882310562 -2.180496796 -0.2756210468 0.2345130823 +-85 -25 2.91369768329373 -2.132444557 -0.5275290564 0.2303090561 +-85 -30 2.95866490472223 -2.054955847 -0.7751044458 0.2235296724 +-85 -35 2.99644596104749 -1.948265631 -1.014294050 0.2141954880 +-85 -40 3.02652735941621 -1.813265031 -1.241059834 0.2023844660 +-85 -45 3.04849231547989 -1.651496489 -1.451496489 0.1882315524 + +-80 45 1.94888100582678 -0.8674788252 2.067478825 0.2411234124 +-80 40 2.01462578485797 -1.029403914 1.983322260 0.2696751744 +-80 35 2.08322427375916 -1.188950490 1.882615865 0.2978075405 +-80 30 2.15419832185537 -1.344212336 1.764756489 0.3251843930 +-80 25 2.22700581213062 -1.493063599 1.629380820 0.3514308868 +-80 20 2.30104059375858 -1.633186644 1.476416442 0.3761383601 +-80 15 2.37563520350976 -1.762111730 1.306131011 0.3988713314 +-80 10 2.45007930631109 -1.877281387 1.119178849 0.4191788492 +-80 5 2.52362272660618 -1.976109568 0.9166315168 0.4366049240 +-80 -2.84217e-14 2.59548715181657 -2.056055870 0.7000000000 0.4507016141 +-80 -5 2.66487647976263 -2.114703886 0.4712430515 0.4610428416 +-80 -10 2.73099438643060 -2.149849785 0.2327599881 0.4672400119 +-80 -15 2.79305411921307 -2.159583625 -0.01263328441 0.4689563505 +-80 -20 2.85028602151415 -2.142366279 -0.2617426736 0.4659204679 +-80 -25 2.90195271449733 -2.097108769 -0.5110517079 0.4579403477 +-80 -30 2.94736607585355 -2.023244411 -0.7567958399 0.4449160686 +-80 -35 2.98589765787334 -1.920782715 -0.9950503055 0.4268493071 +-80 -40 3.01698891397516 -1.790348256 -1.221830377 0.4038501927 +-80 -45 3.04016336996044 -1.633203116 -1.433203116 0.3761412646 + +-75 45 1.94890778215358 -0.8539970371 2.053997037 0.3628024126 +-75 40 2.01383111519336 -1.011178034 1.968028931 0.4049189337 +-75 35 2.08130251565510 -1.165261913 1.866028944 0.4462055847 +-75 30 2.15084939548938 -1.314478108 1.747589424 0.4861879437 +-75 25 2.22195861595137 -1.456902316 1.612518536 0.5243503953 +-75 20 2.29407285279217 -1.590475458 1.460870842 0.5601412107 +-75 15 2.36659374276201 -1.713032874 1.292980371 0.5929803714 +-75 10 2.43890198987547 -1.822355213 1.109493883 0.6222732039 +-75 5 2.51034810728674 -1.916197747 0.9113899117 0.6474182351 +-75 -2.84217e-14 2.58026308807057 -1.992342755 0.7000000000 0.6678212286 +-75 -5 2.64795906817301 -2.048647623 0.4770222257 0.6829080722 +-75 -10 2.71273677426288 -2.083104371 0.2445290055 0.6921407301 +-75 -15 2.77389161779572 -2.093902463 0.004965929694 0.6950340703 +-75 -20 2.83071736893077 -2.079493141 -0.2388587227 0.6911731039 +-75 -25 2.88251111771137 -2.038657850 -0.4837955968 0.6802313207 +-75 -30 2.92858723318711 -1.970585543 -0.7263932283 0.6619914011 +-75 -35 2.96828672770308 -1.874942997 -0.9629529893 0.6363640581 +-75 -40 3.00098719965552 -1.751939550 -1.189601646 0.6034053838 +-75 -45 3.02611887135785 -1.602385769 -1.402385769 0.5633325689 + +-70 45 1.94896821104664 -0.8346360437 2.034636044 0.4857677935 +-70 40 2.01273235976624 -0.9851939457 1.946225692 0.5405663883 +-70 35 2.07862857230083 -1.131732960 1.842551719 0.5939022279 +-70 30 2.14620050051724 -1.272685930 1.723460699 0.6452049132 +-70 25 2.21497846404141 -1.406408424 1.588972848 0.6938759207 +-70 20 2.28447323970803 -1.531185675 1.439291126 0.7392911259 +-70 15 2.35418440948215 -1.645252155 1.274818582 0.7808079294 +-70 10 2.42360327863591 -1.746808751 1.096173003 0.8177715076 +-70 5 2.49221178112181 -1.834038552 0.9042019135 0.8495205585 +-70 -2.84217e-14 2.55947627773051 -1.905120971 0.7000000000 0.8753924433 +-70 -5 2.62484567170547 -1.958254566 0.4849305934 0.8947314903 +-70 -10 2.68774806342925 -1.991684973 0.2606487118 0.9068991634 +-70 -15 2.74758857784660 -2.003741973 0.02912436034 0.9112875524 +-70 -20 2.80374768810107 -1.992886343 -0.2073364262 0.9073364262 +-70 -25 2.85558062884073 -1.957767899 -0.4460759933 0.8945543580 +-70 -30 2.90241894484041 -1.897295698 -0.6840793164 0.8725442767 +-70 -35 2.94357915842147 -1.810723137 -0.9179857590 0.8410344414 +-70 -40 2.97837332628463 -1.697739809 -1.144122663 0.7999118732 +-70 -45 3.00611951145602 -1.558563823 -1.358563823 0.7492559570 + +-65 45 1.94908950687311 -0.8088972865 2.008897287 0.6103488285 +-65 40 2.01134422792427 -0.9509842664 1.917520363 0.6766050753 +-65 35 2.07522225777577 -1.088014914 1.811940014 0.7405035158 +-65 30 2.14029730969036 -1.218697902 1.692290696 0.8014419938 +-65 25 2.20615574955820 -1.341736610 1.558815886 0.8588158856 +-65 20 2.27240077483092 -1.455831197 1.411864339 0.9120190650 +-65 15 2.33864682557022 -1.559670849 1.251887141 0.9604402903 +-65 10 2.40451490956935 -1.651925745 1.079442569 1.003459454 +-65 5 2.46963166785421 -1.731243302 0.8952084945 1.040445839 +-65 -2.84217e-14 2.53361748372063 -1.796237255 0.7000000000 1.070753017 +-65 -5 2.59607236500141 -1.845478944 0.4947971818 1.093714794 +-65 -10 2.65657101460453 -1.877503893 0.2807819169 1.108648273 +-65 -15 2.71465038875965 -1.890821141 0.05938140604 1.114858207 +-65 -20 2.76980125914062 -1.883938507 -0.1676826570 1.111648782 +-65 -25 2.82146038434432 -1.855403459 -0.3983426710 1.098342671 +-65 -30 2.86900557031410 -1.803863969 -0.6301364826 1.074309412 +-65 -35 2.91175259662970 -1.728150037 -0.8601674521 1.039003426 +-65 -40 2.94896122013816 -1.627381417 -1.085084962 0.9920142463 +-65 -45 2.97984418148312 -1.501093305 -1.301093305 0.9331251329 + +-60 45 1.94931239859066 -0.7761245171 1.976124517 0.7367708335 +-60 40 2.00969513048478 -0.9079581149 1.881417135 0.8128849966 +-60 35 2.07111686719253 -1.033687805 1.773899762 0.8854750671 +-60 30 2.13320123128541 -1.152370569 1.653996593 0.9539965926 +-60 25 2.19561075902948 -1.263115614 1.522154313 1.017935274 +-60 20 2.25805581406546 -1.365074474 1.378831593 1.076801250 +-60 15 2.32027593057116 -1.457408031 1.224485901 1.130110054 +-60 10 2.38203498796095 -1.539263639 1.059577200 1.177369411 +-60 5 2.44310738836308 -1.609746019 0.8845788596 1.218062432 +-60 -2.84217e-14 2.50326686324488 -1.667892696 0.7000000000 1.251633432 +-60 -5 2.56227317738463 -1.712651668 0.5064180628 1.277475036 +-60 -10 2.61985346025240 -1.742860381 0.3045232008 1.294916045 +-60 -15 2.67568957561997 -1.757238544 0.09517475492 1.303217281 +-60 -20 2.72940344275939 -1.754390994 -0.1205312183 1.301573247 +-60 -25 2.78054157125808 -1.732825759 -0.3411837507 1.289122553 +-60 -30 2.82856057511095 -1.690993600 -0.5649707449 1.264970745 +-60 -35 2.87281459996718 -1.627354949 -0.7895899720 1.228228953 +-60 -40 2.91254836680684 -1.540481686 -1.012167430 1.178072651 +-60 -45 2.94690125100491 -1.429199721 -1.229199721 1.113823978 + +-55 45 1.94969313815831 -0.7354957303 1.935495730 0.8651034238 +-55 40 2.00782743718304 -0.8554096908 1.837323772 0.9490680829 +-55 35 2.06636461269441 -0.9682859070 1.728104860 1.028104860 +-55 30 2.12499782117712 -1.073587322 1.608511064 1.101837705 +-55 25 2.18349335586654 -1.170866820 1.479137994 1.169953543 +-55 20 2.24167452795299 -1.259724783 1.340487442 1.232172558 +-55 15 2.29941467087415 -1.339774682 1.192966140 1.288224101 +-55 10 2.35661394997504 -1.410598075 1.036889990 1.337815174 +-55 5 2.41319167423368 -1.471713928 0.8725026164 1.380608956 +-55 -2.84217e-14 2.46906989031306 -1.522543648 0.7000000000 1.416200309 +-55 -5 2.52415497422630 -1.562377213 0.5195653739 1.444092071 +-55 -10 2.57832391509347 -1.590346918 0.3314154392 1.463676670 +-55 -15 2.63140799450201 -1.605404417 0.1358585866 1.474220044 +-55 -20 2.68317452460231 -1.606304305 -0.06663207134 1.474850152 +-55 -25 2.73330524177143 -1.591597405 -0.2753278877 1.464552270 +-55 -30 2.78137364736379 -1.559641786 -0.4891347399 1.442176705 +-55 -35 2.82682231113083 -1.508640361 -0.7064651222 1.406465122 +-55 -40 2.86893960344325 -1.436714515 -0.9250964351 1.356102103 +-55 -45 2.90684553296680 -1.342031022 -1.142031022 1.289804007 + +-50 45 1.95031376967685 -0.6860255944 1.886025594 0.9951936389 +-50 40 2.00580509042108 -0.7925417582 1.784571313 1.084571313 +-50 35 2.06103777075588 -0.8913300097 1.674219761 1.167464498 +-50 30 2.11580315211555 -0.9822955842 1.555803755 1.243793678 +-50 25 2.16998369547714 -1.065426821 1.429970515 1.313549068 +-50 20 2.22352907443627 -1.140740709 1.297180780 1.376744924 +-50 15 2.27643671965819 -1.208237170 1.157720770 1.433381179 +-50 10 2.32873621981978 -1.267860967 1.011721587 1.483411485 +-50 5 2.38047491965013 -1.319467903 0.8591828152 1.526714847 +-50 -2.84217e-14 2.43170344763496 -1.362792913 0.7000000000 1.563068847 +-50 -5 2.48245968505311 -1.397417898 0.5339974440 1.592122658 +-50 -10 2.53275666900172 -1.422743167 0.3609685027 1.613373082 +-50 -15 2.58256947791103 -1.437959065 0.1807254336 1.626140737 +-50 -20 2.63181489514839 -1.442014560 -0.006835494423 1.629543701 +-50 -25 2.68032813508699 -1.433589437 -0.2016475621 1.622474183 +-50 -30 2.72783500679237 -1.411074658 -0.4033594681 1.603582041 +-50 -35 2.77391864572078 -1.372569397 -0.6111872078 1.571272291 +-50 -40 2.81798331342947 -1.315909793 -0.8237292375 1.523729238 +-50 -45 2.85921434586317 -1.238746579 -1.038746579 1.458981613 + +-45 45 1.95128646343145 -0.6265757649 1.826575765 1.126575765 +-45 40 2.00372148692909 -0.7185039170 1.722446187 1.218503917 +-45 35 2.05523985422852 -0.8023793411 1.611935832 1.302379341 +-45 30 2.10576228548012 -0.8785450098 1.495903333 1.378545010 +-45 25 2.15529782303962 -0.9473750242 1.374922058 1.447375024 +-45 20 2.20391840022636 -1.009223659 1.249312489 1.509223659 +-45 15 2.25173986852623 -1.064388597 1.119176661 1.564388597 +-45 10 2.29890175781875 -1.113079231 0.9844293905 1.613079231 +-45 5 2.34555425975904 -1.155392644 0.8448280900 1.655392644 +-45 -2.84217e-14 2.39185263313924 -1.191295216 0.7000000000 1.691295216 +-45 -5 2.43794303847338 -1.220596722 0.5494672923 1.720596722 +-45 -10 2.48395421381797 -1.242925699 0.3926751738 1.742925699 +-45 -15 2.52998786395925 -1.257700443 0.2290255858 1.757700443 +-45 -20 2.57610265717114 -1.264092118 0.05792297868 1.764092118 +-45 -25 2.62229225653731 -1.260981836 -0.1211593162 1.760981836 +-45 -30 2.66845862943904 -1.246916237 -0.3085825596 1.746916237 +-45 -35 2.71437460103980 -1.220064642 -0.5044022286 1.720064642 +-45 -40 2.75963381506376 -1.178189626 -0.7081682963 1.678189626 +-45 -45 2.80358831280423 -1.118652467 -0.9186524671 1.618652467 + + +### -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 3.05125201635242 -1.657560992 -1.457560992 2.642250163e-16 +-40 -90 3.06433582206681 -1.469717098 -1.647417428 2.874757240e-16 +-35 -90 3.06877663794972 -1.260177968 -1.813794656 3.078510580e-16 +-30 -90 3.06451962266607 -1.032259811 -1.953951844 3.250153630e-16 +-25 -90 3.05163350647623 -0.7896760480 -2.065719210 3.387029178e-16 +-20 -90 3.03029325694622 -0.5364213341 -2.147544212 3.487235905e-16 +-15 -90 3.00079809232517 -0.2766636968 -2.198548377 3.549697992e-16 +-10 -90 2.96355978253212 -0.01461675564 -2.218536650 3.574176567e-16 +-5 -90 2.91908244935635 0.2455852010 -2.207974459 3.561241614e-16 +-2.84217e-14 -90 2.86795806976884 0.5000000000 -2.167958070 3.512235670e-16 +5 -90 2.81086689613219 0.7449831921 -2.100170699 3.429220084e-16 +10 -90 2.74856098948908 0.9772826070 -2.006804172 3.314879065e-16 +15 -90 2.68184900018345 1.194113597 -1.890467211 3.172407379e-16 +20 -90 2.61157580462541 1.393211531 -1.754078512 3.005379395e-16 +25 -90 2.53860884677185 1.572862458 -1.600760966 2.817619553e-16 +30 -90 2.46382112895242 1.731910564 -1.433731688 2.613067682e-16 +35 -90 2.38806898247752 1.869740097 -1.256191589 2.395643768e-16 +40 -90 2.31217402112398 1.986236812 -1.071228060 2.169128775e-16 +45 -90 2.23691293301950 2.081736304 -0.8817363039 1.937068302e-16 + +-45 -85 3.04849233094208 -1.651496499 -1.451496499 0.1882315533 +-40 -85 3.06105706922335 -1.463205424 -1.639657117 0.2046934743 +-35 -85 3.06501450689575 -1.253522740 -1.804290007 0.2190969858 +-30 -85 3.06033683869951 -1.025795121 -1.942754672 0.2312110742 +-25 -85 3.04711560946930 -0.7837374894 -2.052983930 0.2408548848 +-20 -85 3.02554585351338 -0.5313182141 -2.133523505 0.2479011846 +-15 -85 2.99593847190789 -0.2726518854 -2.183576093 0.2522802185 +-10 -85 2.95870961578558 -0.01187809231 -2.203004919 0.2539800206 +-5 -85 2.91436314998597 0.2469557744 -2.192308733 0.2530442256 +-2.84217e-14 -85 2.86348198907471 0.5000000000 -2.152585576 0.2495688996 +5 -85 2.80673124033228 0.7436989135 -2.085491327 0.2436989135 +10 -85 2.74484270255349 0.9748775746 -1.993164555 0.2356213676 +15 -85 2.67860138263339 1.190810719 -1.878140700 0.2255580842 +20 -85 2.60882656596214 1.389271056 -1.743252145 0.2137568648 +25 -85 2.53636039304936 1.568558381 -1.591530844 0.2004829709 +30 -85 2.46205314566094 1.727508237 -1.426106633 0.1860102278 +35 -85 2.38674049734463 1.865475996 -1.250101822 0.1706118022 +40 -85 2.31122895436853 1.982304027 -1.066541149 0.1545523242 +45 -85 2.23628630090352 2.078275956 -0.8782759560 0.1380812541 + +-45 -80 3.04016340558819 -1.633203141 -1.433203141 0.3761412690 +-40 -80 3.05118686787161 -1.443614569 -1.616309645 0.4084278861 +-35 -80 3.05371563872428 -1.233549579 -1.775765375 0.4365442336 +-30 -80 3.04780299562453 -1.006438837 -1.909228605 0.4600774019 +-25 -80 3.03360461289309 -0.7659930774 -2.014930916 0.4787155712 +-20 -80 3.01137225868055 -0.5160963445 -2.091701762 0.4922523428 +-15 -80 2.98144969802417 -0.2607014400 -2.138976424 0.5005881411 +-10 -80 2.94426523954077 -0.003728067800 -2.156783833 0.5037280678 +-5 -80 2.90031652270475 0.2510325291 -2.145711214 0.5017756663 +-2.84217e-14 -80 2.85016121734121 0.5000000000 -2.106860864 0.4949253014 +5 -80 2.79442047209310 0.7398771969 -2.041808906 0.4834548861 +10 -80 2.73376755704825 0.9677144677 -1.952540558 0.4677144677 +15 -80 2.66891783976706 1.180960556 -1.841379393 0.4481137552 +20 -80 2.60061778558846 1.377499691 -1.710910585 0.4251085843 +25 -80 2.52963555949869 1.555675184 -1.563902737 0.3991871342 +30 -80 2.45675331056714 1.714300467 -1.403230105 0.3708562141 +35 -80 2.38274796177517 1.852651070 -1.231785929 0.3406259802 +40 -80 2.30838113574364 1.970445240 -1.052408397 0.3089968817 +45 -80 2.23439288384994 2.067815042 -0.8678150419 0.2764480927 + +-45 -75 3.02611891445588 -1.602385799 -1.402385799 0.5633325769 +-40 -75 3.03462741557277 -1.410783545 -1.577183154 0.6101693871 +-35 -75 3.03485261266086 -1.200245861 -1.728202738 0.6506349627 +-30 -75 3.02697145015337 -0.9743120949 -1.853583455 0.6842306245 +-25 -75 3.01124001797122 -0.7366622465 -1.952030746 0.7106094967 +-20 -75 2.98798976237456 -0.4910209625 -2.022807717 0.7295741288 +-15 -75 2.95761168749756 -0.2410674867 -2.065701512 0.7410674867 +-10 -75 2.92054792107463 0.009637323171 -2.080984934 0.7451626673 +-5 -75 2.87727968159128 0.2577117308 -2.069367589 0.7420498090 +-2.84217e-14 -75 2.82832261239421 0.5000000000 -2.031949856 0.7320237578 +5 -75 2.77422817715732 0.7336105689 -1.970181021 0.7154728482 +10 -75 2.71557811647368 0.9559480585 -1.885809935 0.6928656838 +15 -75 2.65298040961969 1.164738219 -1.780836805 0.6647382186 +20 -75 2.58706919700457 1.358048390 -1.657468577 0.6316818014 +25 -75 2.51849770079469 1.534301818 -1.518067406 0.5943293702 +30 -75 2.44793884298791 1.692289357 -1.365105744 0.5533434163 +35 -75 2.37607770871350 1.831173802 -1.201113212 0.5094017498 +40 -75 2.30360170566996 1.950485885 -1.028621764 0.4631828058 +45 -75 2.23120100853299 2.050119294 -0.8501192936 0.4153532129 + +-45 -70 3.00611955098944 -1.558563850 -1.358563850 0.7492559668 +-40 -70 3.01122698288683 -1.364464698 -1.521982502 0.8087354917 +-35 -70 3.00839160586078 -1.153610966 -1.661601205 0.8595525438 +-30 -70 2.99794292266161 -0.9296319277 -1.776195135 0.9012613233 +-25 -70 2.98026044904801 -0.6961157461 -1.865078495 0.9336122208 +-20 -70 2.95576153884375 -0.4565304762 -1.928045884 0.9565304762 +-15 -70 2.92488480515638 -0.2141658618 -1.965303281 0.9700910597 +-10 -70 2.88807940300446 0.02790165738 -1.977402748 0.9744949053 +-5 -70 2.84579725230053 0.2668267004 -1.965183010 0.9700472847 +-2.84217e-14 -70 2.79849382650935 0.5000000000 -1.929723998 0.9571412596 +5 -70 2.74662870102348 0.7250478233 -1.872308391 0.9362436875 +10 -70 2.69066768487218 0.9398285425 -1.794391617 0.9078843012 +15 -70 2.63108808017273 1.142429843 -1.697580814 0.8726480507 +20 -70 2.56838043465413 1.331167917 -1.583615083 0.8311679166 +25 -70 2.50305546500756 1.504591413 -1.454353237 0.7841204524 +30 -70 2.43564559405653 1.661488659 -1.311757370 0.7322198013 +35 -70 2.36671389809721 1.800902465 -1.157881262 0.6762134782 +40 -70 2.29684766169563 1.922141674 -0.9948424488 0.6168722031 +45 -70 2.22665994581721 2.024796866 -0.8247968664 0.5549806727 + +-45 -65 2.97984429432473 -1.501093381 -1.301093381 0.9331251682 +-40 -65 2.98079653328275 -1.304355727 -1.450347420 1.002723470 +-35 -65 2.97430901678767 -1.093686265 -1.576019863 1.061325492 +-30 -65 2.96087694933416 -0.8727301514 -1.677638367 1.108710979 +-25 -65 2.94100604161121 -0.6448795982 -1.755202221 1.144879598 +-20 -65 2.91518870776613 -0.4132275015 -1.809071939 1.169999460 +-15 -65 2.88389350698021 -0.1805575448 -1.839875335 1.184363319 +-10 -65 2.84755965171959 0.05064310641 -1.848429581 1.188352230 +-5 -65 2.80659354806012 0.2781568367 -1.835678959 1.182406517 +-2.84217e-14 -65 2.76137232045336 0.5000000000 -1.802653237 1.167006370 +5 -65 2.71224953500286 0.7143858760 -1.750441776 1.142659766 +10 -65 2.65956324512764 0.9196902697 -1.680181796 1.109896999 +15 -65 2.60364456288569 1.114422810 -1.593057143 1.069270106 +20 -65 2.54482906451263 1.297206672 -1.490307330 1.021357082 +25 -65 2.48346623235591 1.466767760 -1.373240151 0.9667677597 +30 -65 2.41993273075556 1.621936062 -1.243250262 0.9061524788 +35 -65 2.35464385683069 1.761658944 -1.101835706 0.8402097886 +40 -65 2.28806210484840 1.885025082 -0.9506086172 0.7696914388 +45 -65 2.22069693220875 1.991293334 -0.7912933339 0.6954015022 + +-45 -60 2.94690137200706 -1.429199800 -1.229199800 1.113824024 +-40 -60 2.94312335840836 -1.230141210 -1.361902003 1.190439677 +-35 -60 2.93260769398868 -1.020593432 -1.471632479 1.253792597 +-30 -60 2.91600751559780 -0.8040782056 -1.558729709 1.304078206 +-25 -60 2.89392346137768 -0.5836400056 -1.623873491 1.341688986 +-20 -60 2.86689545487066 -0.3618649715 -1.667954548 1.367139196 +-15 -60 2.83539567039281 -0.1409259493 -1.691968207 1.381003488 +-10 -60 2.79982713186011 0.07735549363 -1.696936105 1.383871706 +-5 -60 2.76052965371439 0.2914396158 -1.683856099 1.376319961 +-2.84217e-14 -60 2.71778808346160 0.5000000000 -1.653673522 1.358894042 +5 -60 2.67184230759501 0.7018599790 -1.607270118 1.332103024 +10 -60 2.62289898477327 0.8959365327 -1.545467659 1.296421358 +15 -60 2.57114621732994 1.081193781 -1.469044719 1.252298553 +20 -60 2.51676435737900 1.256606258 -1.378758608 1.200171842 +25 -60 2.45993992122890 1.421133315 -1.275376768 1.140484309 +30 -60 2.40088821830159 1.573709853 -1.159720017 1.073709853 +35 -60 2.33986499022662 1.713248995 -1.032699133 1.000374311 +40 -60 2.27718265867132 1.838662054 -0.8953553127 0.9210788192 +45 -60 2.21322696497033 1.948897157 -0.7488971567 0.8365211635 + +-45 -55 2.90684528977022 -1.342030868 -1.142030868 1.289803900 +-40 -55 2.89800012621410 -1.141557622 -1.256332194 1.369838549 +-35 -55 2.88334982978174 -0.9345899828 -1.348806824 1.434589983 +-30 -55 2.86365382064963 -0.7243123984 -1.420571278 1.484839994 +-25 -55 2.83956539607181 -0.5132447988 -1.472910483 1.521488300 +-20 -55 2.81162606841549 -0.3033330284 -1.507139356 1.545455615 +-15 -55 2.78026923043675 -0.09605542605 -1.524509134 1.557618065 +-10 -55 2.74583209838353 0.1074692897 -1.526152281 1.558768609 +-5 -55 2.70856863498390 0.3063828989 -1.513053592 1.549596808 +-2.84217e-14 -55 2.66866284847028 0.5000000000 -1.486040628 1.530682126 +5 -55 2.62624226079099 0.6877321500 -1.445788294 1.502497139 +10 -55 2.58139115546852 0.8690230384 -1.392833649 1.465417897 +15 -55 2.53416401255122 1.043293503 -1.327598958 1.419740075 +20 -55 2.48460092765267 1.209895960 -1.250423121 1.365700972 +25 -55 2.43274003423404 1.368076921 -1.161596965 1.303504228 +30 -55 2.37863831180777 1.516951265 -1.061411260 1.233353442 +35 -55 2.32239187130954 1.655489383 -0.9502098586 1.155489383 +40 -55 2.26415290429981 1.782518046 -0.8284454885 1.070229053 +45 -55 2.20415760836940 1.896746627 -0.6967466268 0.9780125171 + +-45 -50 2.85921442335481 -1.238746626 -1.038746626 1.458981652 +-40 -50 2.84527679283986 -1.038487264 -1.133497724 1.538487264 +-35 -50 2.82668947227241 -0.8361311379 -1.208193021 1.601164060 +-30 -50 2.80425434648606 -0.6342696961 -1.264612743 1.648505828 +-25 -50 2.77860714771057 -0.4347080785 -1.304487943 1.681965094 +-20 -50 2.75023060798500 -0.2386388059 -1.329393440 1.702863287 +-15 -50 2.71947745258065 -0.04680251090 -1.340694752 1.712346214 +-10 -50 2.68659189352252 0.1403763206 -1.339527235 1.711366550 +-5 -50 2.65172820000601 0.3226784258 -1.326794867 1.700682825 +-2.84217e-14 -50 2.61496764566942 0.5000000000 -1.303181434 1.680868802 +5 -50 2.57633378848039 0.6722799354 -1.269168672 1.652328706 +10 -50 2.53580515802630 0.8394395641 -1.225057428 1.615314978 +15 -50 2.49332534956576 1.001330342 -1.170990308 1.569947277 +20 -50 2.44881469981681 1.157686508 -1.106978831 1.516235271 +25 -50 2.40218588742345 1.308082048 -1.032937545 1.454107255 +30 -50 2.35335847659675 1.451890547 -0.9487227908 1.383442686 +35 -50 2.30227598133502 1.588249225 -0.8541809611 1.304112671 +40 -50 2.24893179193566 1.716033859 -0.7492127207 1.216033859 +45 -50 2.19339555914235 1.833848590 -0.6338485901 1.119231860 + +-45 -45 2.80358792626256 -1.118652244 -0.9186522439 1.618652244 +-40 -45 2.78490104785853 -0.9210614983 -0.9935551459 1.693555146 +-35 -45 2.76291665709226 -0.7259409509 -1.050825125 1.750825125 +-30 -45 2.73838196000579 -0.5350110944 -1.092691802 1.792691802 +-25 -45 2.71183356227509 -0.3491987833 -1.121112668 1.821112668 +-20 -45 2.68363891456810 -0.1688797420 -1.137731987 1.837731987 +-15 -45 2.65403354090159 0.005933641054 -1.143880754 1.843880754 +-10 -45 2.62314978856043 0.1754533363 -1.140595593 1.840595593 +-5 -45 2.59103720862262 0.3400143725 -1.128644090 1.828644090 +-2.84217e-14 -45 2.55768049416462 0.5000000000 -1.108553222 1.808553222 +5 -45 2.52301426656580 0.6557854975 -1.080636385 1.780636385 +10 -45 2.48693268419980 0.8076933345 -1.045015614 1.745015614 +15 -45 2.44929490298945 0.9559528718 -1.001639283 1.701639283 +20 -45 2.40993062272891 1.100659710 -0.9502989909 1.650298991 +25 -45 2.36865568288640 1.241734136 -0.8906539875 1.590653987 +30 -45 2.32527987876809 1.378873184 -0.8222530081 1.522253008 +35 -45 2.27961716743600 1.511494875 -0.7445643891 1.444564389 +40 -45 2.23151141596566 1.638681376 -0.6570276203 1.357027620 +45 -45 2.18086493061613 1.759122955 -0.5591229548 1.259122955 + + diff --git a/test/Kerr-rotating-180-EE.par b/test/Kerr-rotating-180-EE.par new file mode 100644 index 0000000..3bc39df --- /dev/null +++ b/test/Kerr-rotating-180-EE.par @@ -0,0 +1,68 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +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 = "byspacing" +#grid::dxyz = 0.2 +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 KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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/Kerr-rotating-180-EE/BH_diagnostics.ah1.gp b/test/Kerr-rotating-180-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..e35f8f8 --- /dev/null +++ b/test/Kerr-rotating-180-EE/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 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616835434e-06 0.000000000 1.199898774 -0.000000000 1.079941067 -1.896292695 1.896685671 -1.896795844 1.896404298 -1.799352120 1.799352120 12.56580486 10.83709599 11.22743101 0.8624275259 0.8934907981 45.23550768 0.9486473693 1.897294739 -4.167545484e-16 -1.470552902 5.913943851e-16 0.7352764510 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071575689 0.7479030207 33.19249618 diff --git a/test/Kerr-rotating-180-EE/h.t0.ah1.gp b/test/Kerr-rotating-180-EE/h.t0.ah1.gp new file mode 100644 index 0000000..c080a28 --- /dev/null +++ b/test/Kerr-rotating-180-EE/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 2.45802500869525 -0.9191414004 -0.7191414004 1.419141400 +-40 -45 2.43566695962339 -0.7428565610 -0.7811787716 1.481178772 +-35 -45 2.40997261697228 -0.5693352309 -0.8271689786 1.527168979 +-30 -45 2.38175005580881 -0.4002169047 -0.8592214167 1.559221417 +-25 -45 2.35157194269325 -0.2363844375 -0.8791815225 1.579181522 +-20 -45 2.31982370214809 -0.07820113982 -0.8885945756 1.588594576 +-15 -45 2.28674430384587 0.07430702565 -0.8887078087 1.588707809 +-10 -45 2.25246257545031 0.2213162523 -0.8804940719 1.580494072 +-5 -45 2.21702381398555 0.3631081233 -0.8646813103 1.564681310 +0 -45 2.18040236180216 0.5000000000 -0.8417772957 1.541777296 +5 -45 2.14252025570822 0.6322915960 -0.8120998611 1.512099861 +10 -45 2.10326121393269 0.7602239540 -0.7758033791 1.475803379 +15 -45 2.06247131027485 0.8839430343 -0.7328949110 1.432894911 +20 -45 2.01997849446151 1.003466650 -0.6832632523 1.383263252 +25 -45 1.97559557839912 1.118649088 -0.6266972516 1.326697252 +30 -45 1.92913149902019 1.229143170 -0.5629130171 1.262913017 +35 -45 1.88040836230858 1.334360895 -0.4915908495 1.191590850 +40 -45 1.82928924070022 1.433438016 -0.4124281092 1.112428109 +45 -45 1.77570748255075 1.525205193 -0.3252051931 1.025205193 + +-45 -40 2.41005349087077 -0.9656026987 -0.5297866839 1.465602699 +-40 -40 2.38611266409430 -0.7902097798 -0.5902097798 1.537612140 +-35 -40 2.35869490671419 -0.6149175530 -0.6360708883 1.592267281 +-30 -40 2.32859138701124 -0.4418727115 -0.6688831321 1.631371391 +-25 -40 2.29638964782695 -0.2724927782 -0.6900659660 1.656616109 +-20 -40 2.26251023001358 -0.1076500821 -0.7008809286 1.669504879 +-15 -40 2.22723906891975 0.05217135038 -0.7024033859 1.671319273 +-10 -40 2.19075758226650 0.2067480534 -0.6955187074 1.663114433 +-5 -40 2.15316634419795 0.3560173529 -0.6809307537 1.645729187 +0 -40 2.11449642977441 0.5000000000 -0.6591721058 1.619798240 +5 -40 2.07473278655828 0.6387377800 -0.6306274819 1.585780082 +10 -40 2.03382784267551 0.7722455367 -0.5955540243 1.543981163 +15 -40 1.99170264514222 0.9004695852 -0.5540955178 1.494572839 +20 -40 1.94826991346612 1.023253489 -0.5063124088 1.437627147 +25 -40 1.90344281288108 1.140307636 -0.4522047554 1.373144157 +30 -40 1.85714513125500 1.251181306 -0.3917392627 1.301084189 +35 -40 1.80932873901701 1.355240907 -0.3248851806 1.221410596 +40 -40 1.75999254389887 1.451656486 -0.2516564858 1.134140036 +45 -40 1.70921500655945 1.539408518 -0.1721673038 1.039408518 + +-45 -35 2.36085359456676 -0.9960428792 -0.3475405015 1.496042879 +-40 -35 2.33480188749775 -0.8225368075 -0.4036237030 1.576137992 +-35 -35 2.30528450153299 -0.6469777337 -0.4469777337 1.638053964 +-30 -35 2.27306046282935 -0.4718130337 -0.4786100193 1.683229550 +-25 -35 2.23872311573235 -0.2988456812 -0.4995466041 1.713130092 +-20 -35 2.20272066953989 -0.1293576113 -0.5107609419 1.729145826 +-15 -35 2.16538026654818 0.03576918264 -0.5131326646 1.732532997 +-10 -35 2.12693213690268 0.1959441974 -0.5074281779 1.724386146 +-5 -35 2.08752878617426 0.3507768026 -0.4942942488 1.705628951 +0 -35 2.04725701155790 0.5000000000 -0.4742583810 1.677014766 +5 -35 2.00616217599243 0.6434068533 -0.4477436693 1.639147834 +10 -35 1.96426174447972 0.7808012399 -0.4150825821 1.592502967 +15 -35 1.92154962351039 0.9119565353 -0.3765289824 1.537442720 +20 -35 1.87801268069493 1.036582596 -0.3322799589 1.474248566 +25 -35 1.83364506950852 1.154301300 -0.2824987739 1.403153666 +30 -35 1.78845689919843 1.264628022 -0.2273370661 1.324374582 +35 -35 1.74249177092494 1.366964256 -0.1669642559 1.238153274 +40 -35 1.69583132951083 1.460595143 -0.1015924870 1.144792712 +45 -35 1.64862504040601 1.544712708 -0.03151571346 1.044712708 + +-45 -30 2.31111875623686 -1.012982377 -0.1735207828 1.512982377 +-40 -30 2.28252560863505 -0.8418029551 -0.2232399450 1.599098492 +-35 -30 2.25059173508868 -0.6669597056 -0.2622068649 1.666591177 +-30 -30 2.21604826038704 -0.4910469103 -0.2910469103 1.716543601 +-25 -30 2.17949219466971 -0.3161186588 -0.3104623399 1.750172112 +-20 -30 2.14139566576852 -0.1437604522 -0.3211694127 1.768717306 +-15 -30 2.10212288386566 0.02482642232 -0.3238567637 1.773371934 +-10 -30 2.06194874132345 0.1887410305 -0.3191602506 1.765237335 +-5 -30 2.02107329128573 0.3473061786 -0.3076484811 1.745298365 +0 -30 1.97963530925625 0.5000000000 -0.2898176546 1.714414468 +5 -30 1.93773438649820 0.6463974957 -0.2660981221 1.673331033 +10 -30 1.89544359055328 0.7861243866 -0.2368616814 1.622692032 +15 -30 1.85281486048163 0.9188188392 -0.2024291783 1.563053187 +20 -30 1.80989537514794 1.044102654 -0.1630865500 1.494909756 +25 -30 1.76673530352027 1.161560363 -0.1190988218 1.418720776 +30 -30 1.72339809054510 1.270727057 -0.07072705655 1.334938421 +35 -30 1.67997650398570 1.371088637 -0.01824884978 1.244043500 +40 -30 1.63659071996764 1.462084393 0.03802892703 1.146567532 +45 -30 1.59340586280861 1.543128997 0.09774919277 1.043128997 + +-45 -25 2.26127850150271 -1.018545600 -0.008109442551 1.518545600 +-40 -25 2.22982321747783 -0.8497715284 -0.05010019917 1.608595068 +-35 -25 2.19524349559627 -0.6762494709 -0.08333080731 1.679858337 +-30 -25 2.15825176816870 -0.5006147932 -0.1081651050 1.733115661 +-25 -25 2.11944980567819 -0.3250628552 -0.1250628552 1.769353003 +-20 -25 2.07933157639795 -0.1513824560 -0.1345315057 1.789658589 +-15 -25 2.03829450833703 0.01899170243 -0.1370909827 1.795147405 +-10 -25 1.99665306572500 0.1849197457 -0.1332493128 1.786908918 +-5 -25 1.95464913592006 0.3454975614 -0.1234857800 1.765970954 +0 -25 1.91246581553957 0.5000000000 -0.1082429786 1.733282661 +5 -25 1.87024680720379 0.6478309775 -0.08792742010 1.689715805 +10 -25 1.82810738746157 0.7884830371 -0.06291131922 1.636068604 +15 -25 1.78613953893022 0.9215033379 -0.03353546099 1.573071873 +20 -25 1.74442874607884 1.046469016 -0.0001195790977 1.501411283 +25 -25 1.70305798006680 1.162969171 0.03703082948 1.421741974 +30 -25 1.66211365705400 1.270593838 0.07761558773 1.334707679 +35 -25 1.62170148492035 1.368935732 0.1213267294 1.240968834 +40 -25 1.58194152267369 1.457591441 0.1678436201 1.141213039 +45 -25 1.54298207775824 1.536178712 0.2168219314 1.036178712 + +-45 -20 2.21156666564151 -1.014461123 0.1487812304 1.514461123 +-40 -20 2.17703983527197 -0.8479601310 0.1153049931 1.606436329 +-35 -20 2.13968404777810 -0.6761118461 0.08865310530 1.679661789 +-30 -20 2.10020050673664 -0.5015246375 0.06862390753 1.734691557 +-25 -20 2.05919711655876 -0.3264506199 0.05492497182 1.772329074 +-20 -20 2.01718719253170 -0.1527931975 0.04720680253 1.793534570 +-15 -20 1.97459617936540 0.01786505244 0.04508938721 1.799352120 +-10 -20 1.93177098068766 0.1842240981 0.04818240218 1.790854132 +-5 -20 1.88898701194482 0.3452239230 0.05610074814 1.769098655 +0 -20 1.84646074285703 0.5000000000 0.06847323208 1.735105535 +5 -20 1.80436682701807 0.6478426358 0.08494524173 1.689849060 +10 -20 1.76284715243328 0.7881628594 0.1051806308 1.634252786 +15 -20 1.72201528056047 0.9204625511 0.1288624204 1.569187603 +20 -20 1.68197257405756 1.044312525 0.1556874747 1.495486372 +25 -20 1.64280989822793 1.159335256 0.1853646439 1.413949020 +30 -20 1.60461516176198 1.265194377 0.2176100341 1.325355539 +35 -20 1.56748131706479 1.361591387 0.2521418984 1.230480021 +40 -20 1.53150393468893 1.448262963 0.2886787696 1.130095793 +45 -20 1.49679264948872 1.524990253 0.3269340574 1.024990253 + +-45 -15 2.16207747879408 -1.002095957 0.2975146014 1.502095957 +-40 -15 2.12437786236351 -0.8376357971 0.2728535465 1.594132267 +-35 -15 2.08421569991811 -0.6676610269 0.2531698645 1.667592768 +-30 -15 2.04228699427783 -0.4947131866 0.2383520035 1.722893778 +-25 -15 1.99920515678998 -0.3210376873 0.2282162293 1.760721002 +-20 -15 1.95549795498352 -0.1485763405 0.2225282446 1.781948850 +-15 -15 1.91161081281437 0.02102142869 0.2210214287 1.787572364 +-10 -15 1.86791286479346 0.1863757154 0.2234117124 1.778651704 +-5 -15 1.82470155038615 0.3463466088 0.2294098639 1.756266297 +0 -15 1.78221295197138 0.5000000000 0.2387293456 1.721485518 +5 -15 1.74063764524306 0.6465745874 0.2510899269 1.675355201 +10 -15 1.70012803051335 0.7854530569 0.2662211434 1.618884732 +15 -15 1.66080212994073 0.9161352437 0.2838647563 1.553037872 +20 -15 1.62275822268639 1.038217177 0.3037729340 1.478739541 +25 -15 1.58607657859603 1.151373193 0.3257086541 1.396874320 +30 -15 1.55082781997795 1.255343831 0.3494437080 1.308293893 +35 -15 1.51707688851374 1.349927173 0.3747574295 1.213821798 +40 -15 1.48488453074955 1.434972416 0.4014358074 1.114256736 +45 -15 1.45431503425789 1.510380412 0.4292693846 1.010380412 + +-45 -10 2.11281191287293 -0.9825048548 0.4385943951 1.482504855 +-40 -10 2.07193739306179 -0.8198299145 0.4226531687 1.572912042 +-35 -10 2.02903361989624 -0.6518526257 0.4099392900 1.645016031 +-30 -10 1.98479514211355 -0.4810255095 0.4003876584 1.699186026 +-25 -10 1.93983677707057 -0.3095385669 0.3938855951 1.736061059 +-20 -10 1.89469196005143 -0.1393064056 0.3902852002 1.756479913 +-15 -10 1.84981425336792 0.02802947932 0.3894144888 1.761417963 +-10 -10 1.80558123353868 0.1910869531 0.3910869531 1.751932947 +-5 -10 1.76229763903009 0.3487217576 0.3951098044 1.729118223 +0 -10 1.72020328066613 0.5000000000 0.4012898351 1.694069528 +5 -10 1.67948907272390 0.6441698323 0.4094362833 1.647868724 +10 -10 1.64030272966850 0.7806358998 0.4193641002 1.591565276 +15 -10 1.60275176611695 0.9089338074 0.4308965072 1.526161746 +20 -10 1.56691781409275 1.028708949 0.4438646243 1.452615900 +25 -10 1.53285901207417 1.139697372 0.4581083987 1.371835441 +30 -10 1.50061922619121 1.241711681 0.4734758461 1.284682316 +35 -10 1.47022852595371 1.334627170 0.4898233297 1.191971129 +40 -10 1.44171012490902 1.418373382 0.5070145671 1.094474777 +45 -10 1.41508340437628 1.492927011 0.5249201781 0.9929270107 + +-45 -5 2.06370467767802 -0.9564751713 0.5725749338 1.456475171 +-40 -5 2.01974303462141 -0.7953598679 0.5649393953 1.543749776 +-35 -5 1.97425185448581 -0.6294874835 0.5588741980 1.613075298 +-30 -5 1.92792334404703 -0.4612066211 0.5543437370 1.664858704 +-25 -5 1.88136543059704 -0.2926116512 0.5512901668 1.699761171 +-20 -5 1.83510425393327 -0.1255322290 0.5496388618 1.718635674 +-15 -5 1.78958555502407 0.03846627156 0.5493036359 1.722467324 +-10 -5 1.74517817165245 0.1980715956 0.5501913180 1.712321070 +-5 -5 1.70217696537054 0.3522057719 0.5522057719 1.689295757 +0 -5 1.66080853056103 0.5000000000 0.5552509990 1.654488653 +5 -5 1.62124873517157 0.6407675055 0.5592324945 1.608979950 +10 -5 1.58362745448564 0.7739789657 0.5640590711 1.553811927 +15 -5 1.54802936708320 0.8992364397 0.5696444568 1.489970677 +20 -5 1.51451259754844 1.016252109 0.5759068660 1.418391012 +25 -5 1.48310784742668 1.124827341 0.5827698665 1.339946557 +30 -5 1.45382971361295 1.224837298 0.5901619176 1.255455027 +35 -5 1.42667465303544 1.316213575 0.5980167580 1.165673790 +40 -5 1.40163355241376 1.398936064 0.6062724951 1.071310283 +45 -5 1.37868843129735 1.473019779 0.6148718000 0.9730197789 + +-45 0 2.01464299638395 -0.9245677244 0.7000000000 1.424567724 +-40 0 1.96776546582395 -0.7648552602 0.7000000000 1.507395800 +-35 0 1.91992720429013 -0.6012250039 0.7000000000 1.572712294 +-30 0 1.87180774198068 -0.4359038710 0.7000000000 1.621033056 +-25 0 1.82399679723427 -0.2708543559 0.7000000000 1.653102501 +-20 0 1.77699560492343 -0.1077682915 0.7000000000 1.669829657 +-15 0 1.73122230085197 0.05192669723 0.7000000000 1.672232331 +-10 0 1.68701724890192 0.2070525290 0.7000000000 1.661387666 +-5 0 1.64464686001669 0.3566595814 0.7000000000 1.638388482 +0 0 1.60430847716497 0.5000000000 0.7000000000 1.604308477 +5 0 1.56614954425751 0.6364989268 0.7000000000 1.560189872 +10 0 1.53026961982009 0.7657285308 0.7000000000 1.507021386 +15 0 1.49672526599818 0.8873810041 0.7000000000 1.445725589 +20 0 1.46554810163544 1.001246972 0.7000000000 1.377164737 +25 0 1.43674130598123 1.107193113 0.7000000000 1.302129834 +30 0 1.41029352049290 1.205146760 0.7000000000 1.221350016 +35 0 1.38617499519660 1.295077314 0.7000000000 1.135488081 +40 0 1.36435286822015 1.376989119 0.7000000000 1.045154933 +45 0 1.34478431178021 1.450906106 0.7000000000 0.9509061061 + +-45 5 1.96549258598101 -0.8871612454 0.8213608835 1.387161245 +-40 5 1.91595027693577 -0.7287925023 0.8281199631 1.464417879 +-35 5 1.86608711634925 -0.5676054508 0.8333938425 1.524698596 +-30 5 1.81655049244386 -0.4056793499 0.8372419485 1.568682649 +-25 5 1.76789443968926 -0.2448067814 0.8397406814 1.597243297 +-20 5 1.72057542565711 -0.08649277224 0.8409771019 1.611375648 +-15 5 1.67496160227877 0.06802776423 0.8410441780 1.612142331 +-10 5 1.63134386828288 0.2177657507 0.8400369766 1.600629967 +-5 5 1.58994209498419 0.3619507435 0.8380492565 1.577910223 +0 5 1.55090921665152 0.5000000000 0.8351706447 1.545007539 +5 5 1.51435145038681 0.6314859784 0.8314859784 1.502891610 +10 5 1.48033205313851 0.7561081166 0.8270738985 1.452461306 +15 5 1.44887761203143 0.8736652235 0.8220062308 1.394537599 +20 5 1.41999347275480 0.9840333623 0.8163486131 1.329870733 +25 5 1.39366003865367 1.087143341 0.8101598597 1.259132958 +30 5 1.36984695877198 1.182965934 0.8034931132 1.182931697 +35 5 1.34851094118625 1.271495403 0.7963958512 1.101809622 +40 5 1.32960584068964 1.352741174 0.7889109980 1.016257357 +45 5 1.31307839965420 1.426715003 0.7810770571 0.9267150032 + +-45 10 1.91610187804271 -0.8444785687 0.9370678466 1.344478569 +-40 10 1.86422648734079 -0.6875174866 0.9495429210 1.415228231 +-35 10 1.81273768445376 -0.5290645956 0.9591401023 1.469656551 +-30 10 1.76222903827834 -0.3710176700 0.9660151455 1.508646859 +-25 10 1.71319096407973 -0.2149540489 0.9703487420 1.533223906 +-20 10 1.66601273728345 -0.06214552927 0.9723338739 1.544482148 +-15 10 1.62099042517590 0.08641269328 0.9721657804 1.543528842 +-10 10 1.57834504142291 0.2299643091 0.9700356909 1.531448504 +-5 10 1.53823248284946 0.3679558428 0.9661253084 1.509271623 +0 10 1.50074914151095 0.5000000000 0.9606023536 1.477949390 +5 10 1.46595280649747 0.6258395626 0.9536204033 1.438352782 +10 10 1.43386700578632 0.7453172515 0.9453172515 1.391263269 +15 10 1.40448873862597 0.8583480233 0.9358149484 1.337373030 +20 10 1.37779968221158 0.9648967647 0.9252212823 1.277293364 +25 10 1.35376577181303 1.064957638 0.9136299345 1.211555564 +30 10 1.33234732871639 1.158539861 0.9011228739 1.140624498 +35 10 1.31350070023682 1.245655082 0.8877716278 1.064905819 +40 10 1.29717906155724 1.326306690 0.8736386937 0.9847539668 +45 10 1.28333529546524 1.400482809 0.8587794149 0.9004828088 + +-45 15 1.86631512103079 -0.7966160673 1.047427228 1.296616067 +-40 15 1.81252133440883 -0.6412722109 1.064441785 1.360115258 +-35 15 1.75988017085249 -0.4859552865 1.077296599 1.408090077 +-30 15 1.70890490019058 -0.3323366126 1.086288766 1.441649302 +-25 15 1.65999268449038 -0.1817292113 1.091734488 1.461973011 +-20 15 1.61343882729397 -0.03512623093 1.093951560 1.470247236 +-15 15 1.56944658852660 0.1067550572 1.093244943 1.467610106 +-10 15 1.52814883273277 0.2434224082 1.089899256 1.455123831 +-5 15 1.48962460458969 0.3745625705 1.084173864 1.433756380 +0 15 1.45390550199155 0.5000000000 1.076298434 1.404364873 +5 15 1.42099679118735 0.6196584591 1.066474766 1.367702446 +10 15 1.39088140654129 0.7335302649 1.054876183 1.324415946 +15 15 1.36352879609223 0.8416496027 1.041649603 1.275053676 +20 15 1.33890260996874 0.9440713184 1.026918357 1.220075920 +25 15 1.31696312670913 1.040853127 1.010784427 1.159863273 +30 15 1.29767290588509 1.132042585 0.9933319846 1.094729870 +35 15 1.28099828797299 1.217666495 0.9746302307 1.024933974 +40 15 1.26690658922453 1.297720422 0.9547355939 0.9506861790 +45 15 1.25537314121857 1.372166210 0.9336962316 0.8721662098 + +-45 20 1.81598262284961 -0.7435686993 1.152621991 1.243568699 +-40 20 1.76077540917141 -0.5902212319 1.172897452 1.299275070 +-35 20 1.70753048384664 -0.4385716698 1.187872712 1.340419259 +-30 20 1.65664862849888 -0.2900076263 1.198032609 1.368333347 +-25 20 1.60840394221268 -0.1455265620 1.203857164 1.384336179 +-20 20 1.56297079899580 -0.005801697136 1.205801697 1.389678742 +-15 20 1.52044256857904 0.1287552332 1.204282336 1.385504332 +-10 20 1.48085034618974 0.2579335965 1.199668090 1.372826793 +-5 20 1.44418803134479 0.3816689811 1.192280565 1.352529736 +0 20 1.41041856747347 0.5000000000 1.182391561 1.325359920 +5 20 1.37949355103113 0.6130302107 1.170228149 1.291941220 +10 20 1.35135701783888 0.7208988464 1.155974489 1.252779612 +15 20 1.32595530996919 0.8237570297 1.139777112 1.208277684 +20 20 1.30323987247571 0.9217487235 1.121748723 1.158745094 +25 20 1.28317419772666 1.014996890 1.101973966 1.104414395 +30 20 1.26573114979362 1.103590432 1.080512425 1.045449295 +35 20 1.25089777795824 1.187576138 1.057404390 0.9819604915 +40 20 1.23867103750833 1.266949298 1.032674101 0.9140145816 +45 20 1.22906181488225 1.341650566 1.006335754 0.8416505661 + +-45 25 1.76497046451116 -0.6852534446 1.252692758 1.185253445 +-40 25 1.70894816807179 -0.5344719540 1.274880713 1.232835668 +-35 25 1.65572063611677 -0.3871637821 1.290812356 1.267001187 +-30 25 1.60553873002885 -0.2443644102 1.301199728 1.289276978 +-25 25 1.55852495600239 -0.1067051207 1.306705121 1.301083330 +-20 25 1.51471027068095 0.02549381374 1.307922977 1.303695032 +-15 25 1.47406358006147 0.1521421167 1.305371464 1.298223294 +-10 25 1.43650851241668 0.2733129129 1.299488089 1.285606356 +-5 25 1.40195121097123 0.3891847765 1.290636378 1.266623801 +0 25 1.37028681378097 0.5000000000 1.279108231 1.241901610 +5 25 1.34141616217507 0.6060303174 1.265133207 1.211932073 +10 25 1.31524836065214 0.7075517250 1.248883435 1.177084324 +15 25 1.29171161411032 0.8048254322 1.230482783 1.137624000 +20 25 1.27075145345714 0.8980823512 1.210011071 1.093722271 +25 25 1.25233832755320 0.9875122937 1.187512294 1.045473488 +30 25 1.23646262613700 1.073252302 1.162997859 0.9929021131 +35 25 1.22313998895131 1.155379582 1.136454196 0.9359790439 +40 25 1.21240930930988 1.233903726 1.107847787 0.8746324015 +45 25 1.20432818887175 1.308758086 1.077130089 0.8087580857 + +-45 30 1.71317791803767 -0.6215382126 1.347520389 1.121538213 +-40 30 1.65703638689680 -0.4741035597 1.370240972 1.160891417 +-35 30 1.60451791641143 -0.3319624240 1.385987658 1.188165477 +-30 30 1.55567905302057 -0.1957208227 1.395720823 1.205023813 +-25 30 1.51046720924596 -0.06559985672 1.400287083 1.212932807 +-20 30 1.46875531537194 0.05845311491 1.400406761 1.213140096 +-15 30 1.43038067873106 0.1766701368 1.396679030 1.206683477 +-10 30 1.39516127321845 0.2893951234 1.389586935 1.194399608 +-5 30 1.36291883009388 0.3970303129 1.379511770 1.176948910 +0 30 1.33348657258702 0.5000000000 1.366743286 1.154833247 +5 30 1.30672067176808 0.5987238681 1.351492999 1.128418975 +10 30 1.28250142095264 0.6935984454 1.333902504 1.097951343 +15 30 1.26074240536884 0.7849840435 1.314055272 1.063574930 +20 30 1.24138670335288 0.8731938372 1.291981272 1.025341641 +25 30 1.22441443553975 0.9584863710 1.267666486 0.9832271956 +30 30 1.20983874907074 1.041056337 1.241056337 0.9371370653 +35 30 1.19770924479309 1.121027086 1.212062690 0.8869185954 +40 30 1.18811046648522 1.198441292 1.180568997 0.8323699188 +45 30 1.18115709486416 1.273248828 1.146435419 0.7732488278 + +-45 35 1.66055556570792 -0.5522729301 1.436809438 1.052272930 +-40 35 1.60508886156048 -0.4091945274 1.458699966 1.083535844 +-35 35 1.55402636124150 -0.2731946459 1.473194646 1.104236392 +-30 35 1.50719535785975 -0.1443788527 1.481499471 1.116096912 +-25 35 1.46434692727119 -0.02252429538 1.484622436 1.120556968 +-20 35 1.42519430453221 0.09279590212 1.483381035 1.118784064 +-15 35 1.38944520801754 0.2021200874 1.478422799 1.111702968 +-10 35 1.35682131643785 0.3060354690 1.470247561 1.100027518 +-5 35 1.32706980469921 0.4051368294 1.459228733 1.084291002 +0 35 1.29997170901213 0.5000000000 1.445633140 1.064874483 +5 35 1.27534679147791 0.5911658451 1.429637526 1.042030378 +10 35 1.25305282903730 0.6791302962 1.411339712 1.015898392 +15 35 1.23299203151132 0.7643382816 1.390771469 0.9865238972 +20 35 1.21510732159584 0.8471784017 1.367903337 0.9538648191 +25 35 1.19938892252727 0.9279790806 1.342653350 0.9178041002 +30 35 1.18587235382440 1.007002004 1.314889512 0.8781532304 +35 35 1.17463925135377 1.084433316 1.284433316 0.8346572759 +40 35 1.16582130898609 1.160373628 1.251065183 0.7870026431 +45 35 1.15959722461502 1.234822004 1.214527907 0.7348220045 + +-45 40 1.60711929422937 -0.4773220319 1.520070557 0.9773220319 +-40 40 1.55322186225338 -0.3398522279 1.539852228 1.000896910 +-35 40 1.50440675210982 -0.2111091350 1.552163652 1.015569094 +-30 40 1.46025144978459 -0.09064505696 1.558421786 1.023027248 +-25 40 1.42030364483706 0.02221770833 1.559747717 1.024607431 +-20 40 1.38412533059933 0.1282607435 1.557010392 1.021345213 +-15 40 1.35130895577002 0.2282937098 1.550865218 1.014021680 +-10 40 1.32149552368006 0.3231063364 1.541796345 1.003213818 +-5 40 1.29437350080919 0.4134449953 1.530144953 0.9893282304 +0 40 1.26968509150354 0.5000000000 1.516137845 0.9726352089 +5 40 1.24722393530406 0.5834021042 1.499905634 0.9532904127 +10 40 1.22683234176000 0.6642221737 1.481495633 0.9313502284 +15 40 1.20840526055391 0.7429727924 1.460884475 0.9067868063 +20 40 1.19188609098315 0.8201089089 1.437981412 0.8794919989 +25 40 1.17727057416303 0.8960273107 1.412633311 0.8492833085 +30 40 1.16461036342776 0.9710636340 1.384626548 0.8159061476 +35 40 1.15401407672391 1.045484092 1.353685480 0.7790320194 +40 40 1.14565453296845 1.119473969 1.319473969 0.7382603282 +45 40 1.13977348828880 1.193119512 1.281596327 0.6931195124 + +-45 45 1.55298528956801 -0.3966164750 1.596616475 0.8966164750 +-40 45 1.50163042502510 -0.2662423709 1.613172098 0.9131720983 +-35 45 1.45587635692358 -0.1459906928 1.622570320 0.9225703202 +-30 45 1.41504143106031 -0.03483538878 1.626362067 0.9263620670 +-25 45 1.37848608687556 0.06833312929 1.625712592 0.9257125916 +-20 45 1.34564049659901 0.1646077595 1.621482607 0.9214826073 +-15 45 1.31600865590570 0.2550160558 1.614292527 0.9142925269 +-10 45 1.28917289222827 0.3404983341 1.604578898 0.9045788978 +-5 45 1.26478381674992 0.4219049299 1.592630736 0.8926307364 +0 45 1.24255996388395 0.5000000000 1.578622576 0.8786225765 +5 45 1.22227984174779 0.5754706288 1.562633235 0.8626332348 +10 45 1.20377685935251 0.6489361245 1.544658735 0.8446587352 +15 45 1.18694050005634 0.7209570309 1.524622866 0.8246228657 +20 45 1.17171285184045 0.7920418935 1.502378508 0.8023785078 +25 45 1.15809055823453 0.8626509778 1.477707532 0.7777075316 +30 45 1.14613280366098 0.9331974811 1.450320047 0.7503200470 +35 45 1.13596543257034 1.004042183 1.419846839 0.7198468386 +40 45 1.12778983284384 1.075481384 1.385832007 0.6858320070 +45 45 1.12189697643767 1.147727521 1.347727521 0.6477275213 + + +### +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 1.77570787342240 1.525205419 -0.3252054187 1.025205419 +45 -40 1.70921527113960 1.539408678 -0.1721674388 1.039408678 +45 -35 1.64862510642604 1.544712750 -0.03151574275 1.044712750 +45 -30 1.59340601701134 1.543129098 0.09774913449 1.043129098 +45 -25 1.54298213276519 1.536178749 0.2168219142 1.036178749 +45 -20 1.49679271035281 1.524990295 0.3269340423 1.024990295 +45 -15 1.45431507676411 1.510380441 0.4292693767 1.010380441 +45 -10 1.41508343782424 1.492927034 0.5249201740 0.9929270342 +45 -5 1.37868844560091 1.473019789 0.6148717991 0.9730197890 +45 0 1.34478432038143 1.450906112 0.7000000000 0.9509061122 +45 5 1.31307840547591 1.426715007 0.7810770575 0.9267150073 +45 10 1.28333530824069 1.400482818 0.8587794164 0.9004828178 +45 15 1.25537315669434 1.372166221 0.9336962345 0.8721662206 +45 20 1.22906182809845 1.341650575 1.006335757 0.8416505751 +45 25 1.20432819848110 1.308758092 1.077130092 0.8087580922 +45 30 1.18115710975497 1.273248838 1.146435425 0.7732488376 +45 35 1.15959724231094 1.234822016 1.214527915 0.7348220157 +45 40 1.13977353672856 1.193119542 1.281596352 0.6931195418 +45 45 1.12189699737913 1.147727533 1.347727533 0.6477275334 + +50 -45 1.78955203764579 1.588263105 -0.3882631053 0.9131611703 +50 -40 1.71971045562059 1.608182239 -0.2298753079 0.9298753079 +50 -35 1.65532991188756 1.617451711 -0.08244811128 0.9376533181 +50 -30 1.59612945964564 1.618221063 0.05439476828 0.9382988815 +50 -25 1.54172761817189 1.612202718 0.1813713552 0.9332488905 +50 -20 1.49170670682099 1.600729443 0.2993672467 0.9236216698 +50 -15 1.44564286707370 1.584809808 0.4093260881 0.9102635096 +50 -10 1.40314147846634 1.565195375 0.5121773157 0.8938050463 +50 -5 1.36383956902614 1.542423216 0.6087997860 0.8746969360 +50 0 1.32742451262693 1.516866172 0.7000000000 0.8532520295 +50 5 1.29362664296235 1.488757385 0.7865050621 0.8296659568 +50 10 1.26222904728582 1.458221651 0.8689603305 0.8040434335 +50 15 1.23306459722159 1.425291162 0.9479310197 0.7764114730 +50 20 1.20601731075424 1.389919417 1.023904179 0.7467310546 +50 25 1.18102847575650 1.351994260 1.097291448 0.7149080691 +50 30 1.15809399513219 1.311340891 1.168427882 0.6807958426 +50 35 1.13726922556542 1.267728193 1.237569068 0.6442004433 +50 40 1.11867827437892 1.220876814 1.304887469 0.6048874690 +50 45 1.10251491873897 1.170461816 1.370461816 0.5625842626 + +55 -45 1.80152326318295 1.641602366 -0.4416023661 0.7993585824 +55 -40 1.72903879578089 1.667209839 -0.2794053454 0.8172891279 +55 -35 1.66151400370443 1.680613325 -0.1266743499 0.8266743499 +55 -30 1.59889636024257 1.684002645 0.01641575407 0.8290475774 +55 -25 1.54099961589307 1.679213631 0.1501236534 0.8256942733 +55 -20 1.48755699345944 1.667739061 0.2749777405 0.8176596930 +55 -15 1.43826139253711 1.650761074 0.3916544996 0.8057715785 +55 -10 1.39280417807342 1.629200216 0.5008915353 0.7906745033 +55 -5 1.35088339147020 1.603748047 0.6034345585 0.7728527031 +55 0 1.31223075013490 1.574916502 0.7000000000 0.7526646373 +55 5 1.27660634909221 1.543059508 0.7912558823 0.7303581300 +55 10 1.24381439604760 1.508408437 0.8778096151 0.7060951893 +55 15 1.21370113653888 1.471089143 0.9602025516 0.6799639382 +55 20 1.18615816810492 1.431139601 1.038907099 0.6519909677 +55 25 1.16112942871817 1.388526924 1.114326909 0.6221532504 +55 30 1.13860647412848 1.343152258 1.186794183 0.5903815672 +55 35 1.11863266805044 1.294860971 1.256567643 0.5565676434 +55 40 1.10130988167675 1.243453376 1.323831453 0.5205716581 +55 45 1.08679417195977 1.188687636 1.388687636 0.4822242745 + +60 -45 1.81166785135560 1.686015009 -0.4860150090 0.6847460847 +60 -40 1.73713359445686 1.717006154 -0.3211894147 0.7026388305 +60 -35 1.66704901748292 1.734470536 -0.1643855748 0.7127218961 +60 -30 1.60155792109101 1.740561431 -0.01623847629 0.7162384763 +60 -25 1.54065448107208 1.737173739 0.1230964112 0.7142825910 +60 -20 1.48422079746672 1.725914039 0.2538037799 0.7077818006 +60 -15 1.43207394858456 1.708111937 0.3762873822 0.6975037518 +60 -10 1.38399979702729 1.684844252 0.4910799905 0.6840701477 +60 -5 1.33976733055862 1.656956426 0.5987794285 0.6679691041 +60 0 1.29915875259969 1.625104483 0.7000000000 0.6495793763 +60 5 1.26196800210375 1.589772796 0.7953427655 0.6291806170 +60 10 1.22802110812174 1.551310668 0.8853744359 0.6069744971 +60 15 1.19717384589466 1.509947856 0.9706147123 0.5830936663 +60 20 1.16931874500717 1.465816049 1.051528293 0.5576141556 +60 25 1.14439259187202 1.418968191 1.128521905 0.5305665324 +60 30 1.12237090236798 1.369384763 1.201939527 0.5019395267 +60 35 1.10327340465901 1.316987681 1.272060933 0.4716880575 +60 40 1.08716613797877 1.261650045 1.339100272 0.4397388584 +60 45 1.07415596801568 1.203200147 1.403200147 0.4059927944 + +65 -45 1.82006441978053 1.722251401 -0.5222514010 0.5699451885 +65 -40 1.74396787334545 1.758098892 -0.3556703166 0.5866611482 +65 -35 1.67184290482565 1.779338373 -0.1958023728 0.5965652808 +65 -30 1.60399396657762 1.788036504 -0.04364822255 0.6006212860 +65 -25 1.54056957158009 1.786093868 0.1002845805 0.5997154195 +65 -20 1.48159117211328 1.775189776 0.2358688785 0.5946307581 +65 -15 1.42699729975310 1.756771526 0.3632490845 0.5860421872 +65 -10 1.37666874259306 1.732052626 0.4827558804 0.5745155748 +65 -5 1.33044851165219 1.702023107 0.5948366048 0.5605125801 +65 0 1.28817168758068 1.667480031 0.7000000000 0.5444048794 +65 5 1.24966713196326 1.629039385 0.7987781468 0.5264797114 +65 10 1.21478137410524 1.587171181 0.8916976118 0.5069562472 +65 15 1.18337730731570 1.542212837 0.9792600881 0.4859918275 +65 20 1.15534361449733 1.494391970 1.061929078 0.4636925910 +65 25 1.13060266860989 1.443846474 1.140122839 0.4401228391 +65 30 1.10910602853903 1.390632435 1.214206876 0.4153087250 +65 35 1.09084217071940 1.334741257 1.284492121 0.3892462408 +65 40 1.07583457210942 1.276107349 1.351231391 0.3619048006 +65 45 1.06413824342831 1.214614518 1.414614518 0.3332302226 + +70 -45 1.82679242946048 1.750971158 -0.5509711585 0.4553162656 +70 -40 1.74953369797672 1.790979818 -0.3832606894 0.4698782269 +70 -35 1.67582925622984 1.815533650 -0.2211465787 0.4788150909 +70 -30 1.60610678469629 1.826587567 -0.06590568864 0.4828383874 +70 -25 1.54063980764204 1.826012309 0.08167030548 0.4826290108 +70 -20 1.47957188645481 1.815526559 0.2211874901 0.4788125099 +70 -15 1.42295245284147 1.796666397 0.3525592861 0.4719479722 +70 -10 1.37075113757653 1.770758989 0.4759309043 0.4625184469 +70 -5 1.32288196445690 1.738922602 0.5916083173 0.4509309497 +70 0 1.27923108545857 1.702084011 0.7000000000 0.4375227992 +70 5 1.23966069247936 1.660983135 0.8015728629 0.4225633037 +70 10 1.20403524260627 1.616204514 0.8968169718 0.4062652185 +70 15 1.17222146275324 1.568187611 0.9862200076 0.3887884948 +70 20 1.14410069516902 1.517250236 1.070248807 0.3702488067 +70 25 1.11957692943720 1.463607965 1.149337773 0.3507246166 +70 30 1.09857468266217 1.407383948 1.223878367 0.3302607481 +70 35 1.08104883464416 1.348628292 1.294215927 0.3088754383 +70 40 1.06698128981924 1.287324824 1.360643970 0.2865628008 +70 45 1.05637921382123 1.223399061 1.423399061 0.2632957259 + +75 -45 1.83193395520859 1.772729870 -0.5727298696 0.3410269407 +75 -40 1.75384236556715 1.816082584 -0.4043244105 0.3526432655 +75 -35 1.67896672148126 1.843350769 -0.2406243347 0.3599497536 +75 -30 1.60782323479562 1.856375796 -0.08310393096 0.3634397992 +75 -25 1.54078229065951 1.856983164 0.06722835857 0.3636025430 +75 -20 1.47808654063141 1.846907372 0.2097658082 0.3609027426 +75 -15 1.41987820614356 1.827746749 0.3442313309 0.3557686691 +75 -10 1.36620255088128 1.800916408 0.4706133376 0.3485795010 +75 -5 1.31703635215098 1.767641033 0.5890957802 0.3396633910 +75 0 1.27231056188628 1.728957631 0.7000000000 0.3292982047 +75 5 1.23191638356872 1.685713480 0.8037364877 0.3177109695 +75 10 1.19573289310191 1.638592912 0.9007646504 0.3050850512 +75 15 1.16362813443292 1.588123943 0.9915619318 0.2915619318 +75 20 1.13547540222615 1.534702738 1.076600998 0.2772477630 +75 25 1.11116020879072 1.478610479 1.156333561 0.2622178876 +75 30 1.09058116947169 1.420025205 1.231176800 0.2465200108 +75 35 1.07366194187318 1.359042991 1.301508378 0.2301798758 +75 40 1.06034781374297 1.295684560 1.367658620 0.2132030352 +75 45 1.05060556634615 1.229904635 1.429904635 0.1955773576 + +80 -45 1.83555296543272 1.787959504 -0.5879595036 0.2271020105 +80 -40 1.75690394578735 1.833754284 -0.4191527275 0.2351768658 +80 -35 1.68122308956155 1.863032582 -0.2544056891 0.2403394199 +80 -30 1.60908495639273 1.877539986 -0.09532308178 0.2428974665 +80 -25 1.54092849650189 1.879057243 0.05693504651 0.2431649999 +80 -20 1.47706911853973 1.869321395 0.2016077712 0.2414483072 +80 -15 1.41771880986618 1.849970881 0.3382763925 0.2380362896 +80 -10 1.36298068286971 1.822483154 0.4668105385 0.2331894615 +80 -5 1.31287988951369 1.788161825 0.5873004436 0.2271376852 +80 0 1.26738286573264 1.748128472 0.7000000000 0.2200787250 +80 5 1.22640334331022 1.703313404 0.8052762815 0.2121766193 +80 10 1.18983118795732 1.654478359 0.9035656833 0.2035656833 +80 15 1.15753456412347 1.602219950 0.9953389455 0.1943511159 +80 20 1.12937896818820 1.546994189 1.081074720 0.1846133242 +80 25 1.10523419505360 1.489131699 1.161239686 0.1744106060 +80 30 1.08497767782778 1.428850978 1.236272362 0.1637814885 +80 35 1.06850813253216 1.366280869 1.306576395 0.1527486901 +80 40 1.05574253617211 1.301467339 1.372510948 0.1413203160 +80 45 1.04661730228673 1.234383985 1.434383985 0.1294917107 + +85 -45 1.83770431925234 1.796973710 -0.5969737105 0.1134704966 +85 -40 1.75873582099604 1.844254187 -0.4279631922 0.1176070022 +85 -35 1.68258425240480 1.874766390 -0.2626217895 0.1202764741 +85 -30 1.60985759212930 1.890192942 -0.1026282691 0.1216261225 +85 -25 1.54103557206671 1.892282640 0.05076794255 0.1218089474 +85 -20 1.47647801829435 1.882770374 0.1967127432 0.1209767319 +85 -15 1.41643978470055 1.863316349 0.3347004852 0.1192747254 +85 -10 1.36106050386116 1.835435325 0.4645267212 0.1168354518 +85 -5 1.31039584105403 1.800479433 0.5862227925 0.1137772075 +85 0 1.26443463226417 1.759623077 0.7000000000 0.1102027395 +85 5 1.22310504152092 1.713849205 0.8061980447 0.1061980447 +85 10 1.18630350589701 1.663968540 0.9052390584 0.1018340520 +85 15 1.15389768533347 1.610620866 0.9975899640 0.09716673521 +85 20 1.12574761532612 1.554299780 1.083733738 0.09223927875 +85 25 1.10171297954259 1.495366936 1.164147225 0.08708332297 +85 30 1.08165742525847 1.434065550 1.239282997 0.08172014665 +85 35 1.06546364610930 1.370543991 1.309561465 0.07616273031 +85 40 1.05303079440421 1.304862809 1.375360087 0.07041637152 +85 45 1.04427654383854 1.237006062 1.437006062 0.06447967539 + +90 -45 1.83841591652746 1.799956361 -0.5999563612 0.000000000 +90 -40 1.75934330281348 1.847735161 -0.4308840762 0.000000000 +90 -35 1.68303682654383 1.878663057 -0.2653502652 0.000000000 +90 -30 1.61011535158588 1.894400797 -0.1050576758 0.000000000 +90 -25 1.54107212954110 1.896685671 0.04871477540 0.000000000 +90 -20 1.47628191206830 1.887251219 0.1950818488 0.000000000 +90 -15 1.41601397315473 1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044913038 1.839752606 0.4637654681 0.000000000 +90 -5 1.30956743389295 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137366046 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541956191 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822062414 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720149242 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041112298 1.556722326 1.084615473 0.000000000 +90 25 1.10054399700730 1.497431594 1.165109991 0.000000000 +90 30 1.08055683204505 1.435789667 1.240278416 0.000000000 +90 35 1.06445609492236 1.371951386 1.310546934 0.000000000 +90 40 1.05213486260285 1.305982065 1.376299253 0.000000000 +90 45 1.04350448190929 1.237869095 1.437869095 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 1.12189704039560 1.147727558 1.347727558 0.6477275583 +40 45 1.12778994906841 1.075481443 1.385832078 0.6858320777 +35 45 1.13596550376311 1.004042214 1.419846884 0.7198468837 +30 45 1.14613281769102 0.9331974864 1.450320056 0.7503200562 +25 45 1.15809056545716 0.8626509800 1.477707536 0.7777075364 +20 45 1.17171286540120 0.7920418968 1.502378517 0.8023785171 +15 45 1.18694050312307 0.7209570315 1.524622868 0.8246228678 +10 45 1.20377686850449 0.6489361256 1.544658742 0.8446587416 +5 45 1.22227985012402 0.5754706293 1.562633241 0.8626332408 +0 45 1.24255997492981 0.5000000000 1.578622584 0.8786225843 +-5 45 1.26478383191755 0.4219049289 1.592630747 0.8926307471 +-10 45 1.28917291777710 0.3404983310 1.604578916 0.9045789157 +-15 45 1.31600869138568 0.2550160492 1.614292552 0.9142925515 +-20 45 1.34564056946620 0.1646077414 1.621482657 0.9214826572 +-25 45 1.37848616838830 0.06833310377 1.625712646 0.9257126463 +-30 45 1.41504159414286 -0.03483545042 1.626362174 0.9263621738 +-35 45 1.45587650386383 -0.1459907580 1.622570413 0.9225704133 +-40 45 1.50163075569388 -0.2662425396 1.613172299 0.9131722994 +-45 45 1.55298541981000 -0.3966165502 1.596616550 0.8966165502 + +45 50 1.10251499122685 1.170461860 1.370461860 0.5625842996 +40 50 1.10627364029786 1.098180082 1.412883262 0.5981800823 +35 50 1.11270501239992 1.025957955 1.451145805 0.6302861680 +30 50 1.12153860962660 0.9536418958 1.485730812 0.6593064345 +25 50 1.13257859242308 0.8809931752 1.517042501 0.6855800611 +20 50 1.14569710128388 0.8077037745 1.545409172 0.7093825247 +15 50 1.16082841849416 0.7334065662 1.571085164 0.7309272396 +10 50 1.17796797496586 0.6576812535 1.594254826 0.7503688948 +5 50 1.19716641105364 0.5800547479 1.615029956 0.7678012982 +0 50 1.21852768521412 0.5000000000 1.633446362 0.7832544981 +-5 50 1.24221276717620 0.4169329936 1.649460228 0.7966917268 +-10 50 1.26843623040492 0.3302087841 1.662933836 0.8079974265 +-15 50 1.29747019530504 0.2391190135 1.673621096 0.8169651029 +-20 50 1.32964775140479 0.1428919726 1.681146242 0.8232794495 +-25 50 1.36535813673596 0.04070107340 1.684969727 0.8264877344 +-30 50 1.40505188581445 -0.06831784091 1.684355375 0.8259722324 +-35 50 1.44922364794707 -0.1850249597 1.678317031 0.8209054597 +-40 50 1.49840308882383 -0.3102108288 1.665571666 0.8102108288 +-45 50 1.55311024116214 -0.4444780248 1.644478025 0.7925111623 + +45 55 1.08679421182517 1.188687662 1.388687662 0.4822242922 +40 55 1.08856948355300 1.116614719 1.434852806 0.5145494746 +35 55 1.09331599613787 1.043971515 1.476871835 0.5439715153 +30 55 1.10080027970703 0.9706307099 1.515156301 0.5707785869 +25 55 1.11084955356342 0.8963854941 1.550051435 0.5952124228 +20 55 1.12334985312226 0.8209616135 1.581834786 0.6174673643 +15 55 1.13824259561596 0.7440251713 1.610714338 0.6376890444 +10 55 1.15552544343369 0.6651882587 1.636829169 0.6559748459 +5 55 1.17524924090103 0.5840105538 1.660245024 0.6723708044 +0 55 1.19751476485100 0.5000000000 1.680946668 0.6868662513 +-5 55 1.22247742170514 0.4126134256 1.698833116 0.6993904772 +-10 55 1.25034177770000 0.3212572624 1.713700438 0.7098006881 +-15 55 1.28136404488769 0.2252913555 1.725226619 0.7178714067 +-20 55 1.31585097279446 0.1240372933 1.732949047 0.7232787095 +-25 55 1.35415179033449 0.01679673928 1.736232737 0.7255779735 +-30 55 1.39665676410230 -0.09711972874 1.734241708 0.7241838405 +-35 55 1.44377401817960 -0.2183393851 1.725894961 0.7183393851 +-40 55 1.49591241364023 -0.3473520766 1.709834881 0.7070939964 +-45 55 1.55343760884324 -0.4843936440 1.684393644 0.6892798501 + +45 60 1.07415598944388 1.203200161 1.403200161 0.4059928025 +40 60 1.07416030161469 1.131454675 1.452538378 0.4344782350 +35 60 1.07735538964817 1.058622121 1.497795068 0.4606071975 +30 60 1.08355375448241 0.9845799705 1.539317129 0.4845799705 +25 60 1.09261635279175 0.9091341069 1.577390924 0.5065618859 +20 60 1.10445374626755 0.8320281508 1.612239847 0.5266819213 +15 60 1.11902429662413 0.7529494268 1.644020113 0.5450302661 +10 60 1.13633657533750 0.6715343085 1.672819405 0.5616575455 +5 60 1.15644719812480 0.5873705782 1.698650278 0.5765710069 +0 60 1.17945739322816 0.5000000000 1.721440065 0.5897286966 +-5 60 1.20551798873467 0.4089220815 1.741025372 0.6010362788 +-10 60 1.23482168274221 0.3135989917 1.757132650 0.6103358199 +-15 60 1.26760465104883 0.2134647828 1.769363989 0.6173975868 +-20 60 1.30414059912926 0.1079406738 1.777174146 0.6219067830 +-25 60 1.34473142101945 -0.003539497180 1.779843936 0.6234481874 +-30 60 1.38969865435959 -0.1214921319 1.776455949 0.6214921319 +-35 60 1.43936048815688 -0.2463262507 1.765864347 0.6153770678 +-40 60 1.49400602542152 -0.3782647135 1.746675128 0.6042981667 +-45 60 1.55386091690885 -0.5172407530 1.717240753 0.5873042226 + +45 65 1.06413825974249 1.214614529 1.414614529 0.3332302277 +40 65 1.06262136175184 1.143233082 1.466575336 0.3574599497 +35 65 1.06445040745060 1.070350957 1.514545582 0.3798288430 +30 65 1.06948532537084 0.9958378135 1.558816285 0.4004726108 +25 65 1.07762536281046 0.9194997477 1.599620112 0.4194997477 +20 65 1.08881141493885 0.8410868481 1.637128413 0.4369901558 +15 65 1.10302568073690 0.7602982556 1.671446315 0.4529928561 +10 65 1.12029286515946 0.6767869275 1.702608488 0.4675240161 +5 65 1.14067988684543 0.5901634063 1.730572450 0.4805638256 +0 65 1.16429142108527 0.5000000000 1.755206381 0.4920508165 +-5 65 1.19127489602894 0.4058373837 1.776283629 0.5018792984 +-10 65 1.22181041820852 0.3071931755 1.793461839 0.5098896292 +-15 65 1.25611179415827 0.2035756152 1.806270865 0.5158625762 +-20 65 1.29441632521141 0.09450426540 1.814090374 0.5195088735 +-25 65 1.33697574851648 -0.02046008613 1.816130257 0.5204600861 +-30 65 1.38404090262808 -0.1416729605 1.811410169 0.5182590734 +-35 65 1.43584333882894 -0.2693497195 1.798745268 0.5123533330 +-40 65 1.49256251272121 -0.4034879394 1.776734998 0.5020897752 +-45 65 1.55430237705342 -0.5437807790 1.743780779 0.4867229707 + +45 70 1.05637922189255 1.223399067 1.423399067 0.2632957279 +40 70 1.05360936093441 1.152364458 1.477457687 0.2829714563 +35 70 1.05429181874325 1.079508502 1.527623912 0.3012304691 +30 70 1.05832991311725 1.004686805 1.574143187 0.3181621007 +25 70 1.06565969159946 0.9276983032 1.617201971 0.3338342163 +20 70 1.07625397422341 0.8482925510 1.656925919 0.3482925510 +15 70 1.09012039060273 0.7661734804 1.693372952 0.3615581862 +10 70 1.10730247760602 0.6810046025 1.726528112 0.3736256773 +5 70 1.12787993709393 0.5924139927 1.756296770 0.3844605829 +0 70 1.15196291524218 0.5000000000 1.782491051 0.3939945214 +-5 70 1.17969675138739 0.4033403438 1.804824926 0.4021233872 +-10 70 1.21124955552264 0.3020037444 1.822892565 0.4086994698 +-15 70 1.24681262554721 0.1955671513 1.836158859 0.4135280060 +-20 70 1.28658727772532 0.08364031561 1.843938831 0.4163596844 +-25 70 1.33077693294983 -0.03410205964 1.845385563 0.4168862517 +-30 70 1.37956644840152 -0.1578751804 1.839473237 0.4147343412 +-35 70 1.43310917446281 -0.2877315712 1.824997273 0.4094655211 +-40 70 1.49149040269904 -0.4234877406 1.800569833 0.4005746598 +-45 70 1.55471282180453 -0.5646534704 1.764653470 0.3875021730 + +45 75 1.05060556981927 1.229904638 1.429904638 0.1955773582 +40 75 1.04685899463977 1.159165250 1.485562555 0.2104908523 +35 75 1.04663446414285 1.086366504 1.537418154 0.2243855180 +30 75 1.04987145237880 1.011348787 1.585682080 0.2373177981 +25 75 1.05653824091630 0.9339012987 1.630504338 0.2493278859 +20 75 1.06663656020444 0.8537693482 1.671973296 0.2604394597 +15 75 1.08019783322019 0.7706574013 1.710107173 0.2706574013 +10 75 1.09728396000883 0.6842349841 1.744848516 0.2799663161 +5 75 1.11798759107288 0.5941428392 1.776057576 0.2883287585 +0 75 1.14242504363102 0.5000000000 1.803497854 0.2956813589 +-5 75 1.17074039062316 0.4014149842 1.826831887 0.3019336941 +-10 75 1.20309064684452 0.2979999760 1.845599063 0.3069623439 +-15 75 1.23964730698047 0.1893904910 1.859210469 0.3106095090 +-20 75 1.28057974539896 0.07527251671 1.866929170 0.3126777287 +-25 75 1.32604887106575 -0.04458447883 1.867865184 0.3129285328 +-30 75 1.37618319943826 -0.1702816889 1.860961940 0.3110788144 +-35 75 1.43107073606014 -0.3017430851 1.845007789 0.3068039123 +-40 75 1.49072128488105 -0.4386475869 1.818636634 0.2997377827 +-45 75 1.55505822251759 -0.5803713983 1.780371398 0.2894846437 + +45 80 1.04661730449286 1.234383986 1.434383986 0.1294917110 +40 80 1.04217356134525 1.163867474 1.491166447 0.1395039908 +35 80 1.04129450756741 1.091127619 1.544217731 0.1488583635 +30 80 1.04394664288103 1.015991936 1.593724249 0.1575876984 +25 80 1.05012304419804 0.9382405336 1.639809857 0.1657138346 +20 80 1.05984822912246 0.8576136787 1.682535507 0.1732475194 +15 80 1.07317284544459 0.7738144901 1.721889589 0.1801867059 +10 80 1.09017401218600 0.6865155494 1.757782244 0.1865155494 +5 80 1.11095541644268 0.5953660603 1.790039057 0.1922032957 +0 80 1.13563908962694 0.5000000000 1.818386180 0.1972016584 +-5 80 1.16436800729462 0.4000489237 1.842446029 0.2014440590 +-10 80 1.19729096362507 0.2951580396 1.861716486 0.2048419604 +-15 80 1.23456374905482 0.1850074572 1.875568174 0.2072843867 +-20 80 1.27633067845670 0.06934087675 1.883226217 0.2086347063 +-25 80 1.32271954543495 -0.05200133225 1.883770677 0.2087307094 +-30 80 1.37381595321955 -0.1790365750 1.876125848 0.2073827197 +-35 80 1.42965888593218 -0.3115963804 1.859079753 0.2043770332 +-40 80 1.49020334068844 -0.4492636961 1.831288420 0.1994766714 +-45 80 1.55531664790769 -0.5913250097 1.791325010 0.1924300439 + +45 85 1.04427654486177 1.237006063 1.437006063 0.06447967546 +40 85 1.03941501158420 1.166627620 1.494455861 0.06950588151 +35 85 1.03814102482279 1.093929944 1.548219866 0.07420962244 +30 85 1.04043768169447 1.018732029 1.598470230 0.07860595965 +25 85 1.04631359144500 0.9408076867 1.645315135 0.08270435776 +20 85 1.05580777710740 0.8598933362 1.688798815 0.08650868679 +15 85 1.06898331779491 0.7756905670 1.728891203 0.09001631627 +10 85 1.08592732036533 0.6878732547 1.765482174 0.09321761138 +5 85 1.10675082737738 0.5960954046 1.798375501 0.09609540460 +0 85 1.13157982152233 0.5000000000 1.827273819 0.09862367982 +-5 85 1.16055646467273 0.3992328352 1.851773964 0.1007671648 +-10 85 1.19382441369200 0.2934597704 1.871347849 0.1024796579 +-15 85 1.23152951209234 0.1823888046 1.885341118 0.1037039103 +-20 85 1.27380014900484 0.06579957523 1.892955863 0.1043701141 +-25 85 1.32074312712485 -0.05642374085 1.893254563 0.1043962470 +-30 85 1.37241723496840 -0.1842473987 1.885151260 0.1036872998 +-35 85 1.42883110428952 -0.3174473002 1.867435732 0.1021373920 +-40 85 1.48990649327818 -0.4555498126 1.838779922 0.09963033343 +-45 85 1.55547718309292 -0.5977897764 1.797789776 0.09604416037 + +45 90 1.04350448256129 1.237869096 1.437869096 0.000000000 +40 90 1.03850370977423 1.167537317 1.495539996 0.000000000 +35 90 1.03709763944310 1.094854768 1.549540651 0.000000000 +30 90 1.03927496124074 1.019637481 1.600038518 0.000000000 +25 90 1.04504956846454 0.9416570321 1.647136562 0.000000000 +20 90 1.05446545611594 0.8606484264 1.690873408 0.000000000 +15 90 1.06758999850668 0.7763126240 1.731212751 0.000000000 +10 90 1.08451378059875 0.6883238417 1.768037579 0.000000000 +5 90 1.10535043407914 0.5963376381 1.801144242 0.000000000 +0 90 1.13022731903386 0.5000000000 1.830227319 0.000000000 +-5 90 1.15928635973912 0.3989615363 1.854874925 0.000000000 +-10 90 1.19266946402536 0.2928951210 1.874550135 0.000000000 +-15 90 1.23051905145768 0.1815182341 1.888590132 0.000000000 +-20 90 1.27295805128550 0.06462270485 1.896189287 0.000000000 +-25 90 1.32008608451948 -0.05789248639 1.896404298 0.000000000 +-30 90 1.37195282732543 -0.1859764137 1.888146001 0.000000000 +-35 90 1.42855664650790 -0.3193864304 1.870205097 0.000000000 +-40 90 1.48980818135022 -0.4576302398 1.841259279 0.000000000 +-45 90 1.55553009340625 -0.5999258774 1.799925877 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 1.55553008234692 -0.5999258696 1.799925870 1.347020695e-16 +-90 40 1.62544300725023 -0.7451615833 1.744814625 1.524883147e-16 +-90 35 1.69913630161123 -0.8918509750 1.674584545 1.704525841e-16 +-90 30 1.77608891252225 -1.038138118 1.588044456 1.883675922e-16 +-90 25 1.85566176839855 -1.181800711 1.484236551 2.059611857e-16 +-90 20 1.93708773366104 -1.320267049 1.362523024 2.229184215e-16 +-90 15 2.01952559285373 -1.450711927 1.222691686 2.388933117e-16 +-90 10 2.10204061116702 -1.570105891 1.065015522 2.535148553e-16 +-90 5 2.18364822074017 -1.675338780 0.8903174826 2.664021674e-16 +-90 -2.84217e-14 2.26333679983389 -1.763336800 0.7000000000 2.771788167e-16 +-90 -5 2.34009224581014 -1.831187488 0.4960475222 2.854881296e-16 +-90 -10 2.41291194319933 -1.876254389 0.2810022382 2.910072331e-16 +-90 -15 2.48082474822426 -1.896292695 0.05791530760 2.934612179e-16 +-90 -20 2.54292425162248 -1.889567154 -0.1697313170 2.926375767e-16 +-90 -25 2.59838186729393 -1.854933720 -0.3981236281 2.883962042e-16 +-90 -30 2.64645930627488 -1.791900989 -0.6232296531 2.806769211e-16 +-90 -35 2.68651039111499 -1.700660479 -0.8409190564 2.695031811e-16 +-90 -40 2.71799550041861 -1.582105350 -1.047093831 2.549843652e-16 +-90 -45 2.74049346535808 -1.437821513 -1.237821513 2.373146913e-16 + +-85 45 1.55547716637392 -0.5977897646 1.797789765 0.09604415934 +-85 40 1.62520129497982 -0.7421897699 1.742320978 0.1086775228 +-85 35 1.69863379901460 -0.8878797761 1.671803881 0.1214237467 +-85 30 1.77525329527252 -1.033020444 1.585089766 0.1341219098 +-85 25 1.85442518886079 -1.175421415 1.481261836 0.1465803804 +-85 20 1.93539491048592 -1.312561183 1.359718318 0.1585785554 +-85 15 2.01733877850385 -1.441678685 1.220271236 0.1698748732 +-85 10 2.09934332308925 -1.559818226 1.063201529 0.1802107437 +-85 5 2.18045230954836 -1.663951757 0.8893212471 0.1893212471 +-85 -2.84217e-14 2.25968086036604 -1.751082092 0.7000000000 0.1969441638 +-85 -5 2.33604222743592 -1.818364249 0.4971694103 0.2028305897 +-85 -10 2.40855963191598 -1.863212808 0.2833018208 0.2067543302 +-85 -15 2.47628169451084 -1.883408992 0.06136748537 0.2085212673 +-85 -20 2.53831462256119 -1.877215384 -0.1652356401 0.2079793968 +-85 -25 2.59383478774390 -1.843457356 -0.3927721115 0.2050259521 +-85 -30 2.64210061535670 -1.781586672 -0.6172746794 0.1996129687 +-85 -35 2.68245663130689 -1.691718610 -0.8346578924 0.1917505320 +-85 -40 2.71434368246128 -1.574653746 -1.040841193 0.1815086835 +-85 -45 2.73731594683898 -1.431881415 -1.231881415 0.1690177231 + +-80 45 1.55531660614137 -0.5913249804 1.791324980 0.1924300388 +-80 40 1.62447199290048 -0.7332185174 1.734793203 0.2174496977 +-80 35 1.69712230383179 -0.8759226904 1.663431440 0.2426122937 +-80 30 1.77274642267434 -1.017650807 1.576216102 0.2676027845 +-80 25 1.85072409961716 -1.156309479 1.472349794 0.2920520495 +-80 20 1.93033930582798 -1.289526893 1.351334523 0.3155418740 +-80 15 2.01081929854032 -1.414729128 1.213050124 0.3376184060 +-80 10 2.09131395984591 -1.529175847 1.057798450 0.3577984504 +-80 5 2.17094754703794 -1.630074332 0.8863573565 0.3755895756 +-80 -2.84217e-14 2.24881331767576 -1.714648790 0.7000000000 0.3905023345 +-80 -5 2.32400322586890 -1.780248376 0.5005041171 0.4020693114 +-80 -10 2.39561298466349 -1.824433394 0.2901396777 0.4098603223 +-80 -15 2.46275243942414 -1.845065931 0.07164147751 0.4134983952 +-80 -20 2.52456664606595 -1.840407147 -0.1518385374 0.4126769258 +-80 -25 2.58024888659399 -1.809199242 -0.3767972907 0.4071741302 +-80 -30 2.62905052844383 -1.750734005 -0.5994618837 0.3968651315 +-80 -35 2.67028782189674 -1.664905614 -0.8158832308 0.3817312705 +-80 -40 2.70335109625894 -1.552249990 -1.022042210 0.3618670444 +-80 -45 2.72772407517338 -1.413972635 -1.213972635 0.3374850159 + +-75 45 1.55505815620182 -0.5803713522 1.780371352 0.2894846314 +-75 40 1.62326277566639 -0.7180957135 1.722103664 0.3263877627 +-75 35 1.69461395351527 -0.8558702075 1.649390540 0.3633043271 +-75 30 1.76859457262704 -0.9920041080 1.561408973 0.3997812958 +-75 25 1.84461156730717 -1.124568803 1.457548874 0.4353018987 +-75 20 1.92201372888070 -1.251436326 1.337470690 0.4692959493 +-75 15 2.00010756602549 -1.370326839 1.201152566 0.5011525662 +-75 10 2.07815102026061 -1.478843297 1.048923464 0.5302294635 +-75 5 2.15538521612089 -1.574547705 0.8814994061 0.5558733821 +-75 -2.84217e-14 2.23103100797518 -1.655010470 0.7000000000 0.5774333151 +-75 -5 2.30430021982458 -1.717877666 0.5059608472 0.5942785294 +-75 -10 2.37440006644986 -1.760935616 0.3013360493 0.6058158724 +-75 -15 2.44053738083844 -1.782178541 0.08849210306 0.6115078969 +-75 -20 2.50192600158346 -1.779881782 -0.1298091063 0.6108924823 +-75 -25 2.55779393942451 -1.752676017 -0.3504400779 0.6036027195 +-75 -30 2.60738964602922 -1.699620039 -0.5699512217 0.5893864131 +-75 -35 2.64999165362529 -1.620273308 -0.7846313535 0.5681255207 +-75 -40 2.68492226150853 -1.514764551 -0.9905881919 0.5398545345 +-75 -45 2.71155882217566 -1.383846247 -1.183846247 0.5047750805 + +-70 45 1.55471267543741 -0.5646533702 1.764653370 0.3875021366 +-70 40 1.62157784920664 -0.6965612777 1.704034127 0.4355126886 +-70 35 1.69112190796493 -0.8275384521 1.629552431 0.4831844814 +-70 30 1.76284007314197 -0.9560437357 1.540647243 0.5299565796 +-70 25 1.83618154298889 -1.080381940 1.436944201 0.5752119848 +-70 20 1.91058035804282 -1.198747609 1.318293565 0.6182935652 +-70 15 1.98544702698622 -1.309239963 1.184784387 0.6585094931 +-70 10 2.06018566934076 -1.409901357 1.036767140 0.6951472444 +-70 5 2.13417878777659 -1.498728842 0.8748661151 0.7274778048 +-70 -2.84217e-14 2.20681198897984 -1.573724942 0.7000000000 0.7547741528 +-70 -5 2.27745035177098 -1.632907388 0.5133947832 0.7763148017 +-70 -10 2.34544257808923 -1.674349637 0.3166034934 0.7913985469 +-70 -15 2.41012038570267 -1.696223852 0.1115235926 0.7993601098 +-70 -20 2.47079372876402 -1.696848157 -0.09958733847 0.7995873385 +-70 -25 2.52675035928822 -1.674747181 -0.3141012650 0.7915432409 +-70 -30 2.57725664304435 -1.628723103 -0.5290188565 0.7747918465 +-70 -35 2.62156350122822 -1.557939369 -0.7409846595 0.7490286743 +-70 -40 2.65891680690734 -1.462013044 -0.9463244215 0.7141143472 +-70 -45 2.68857154563151 -1.341109809 -1.141109809 0.6701091685 + +-65 45 1.55430219748294 -0.5437806584 1.743780658 0.4867229144 +-65 40 1.61943598631181 -0.6682615556 1.680287840 0.5447693101 +-65 35 1.68667580131762 -0.7906888976 1.603750096 0.6018581172 +-65 30 1.75554226832544 -0.9097325637 1.513909475 0.6573690904 +-65 25 1.82555530457800 -1.024004839 1.410655128 0.7106551275 +-65 20 1.89624997972219 -1.132082205 1.294029342 0.7610524309 +-65 15 1.96716542989474 -1.232503278 1.164222854 0.8078795464 +-65 10 2.03785730489675 -1.323784740 1.021582457 0.8504447909 +-65 5 2.10788192137539 -1.404412500 0.8666145044 0.8880421332 +-65 -2.84217e-14 2.17679452323039 -1.472845827 0.7000000000 0.9199531176 +-65 -5 2.24414008243878 -1.527517947 0.5226151646 0.9454471456 +-65 -10 2.30943103937541 -1.566830232 0.3355620655 0.9637787654 +-65 -15 2.37214533234920 -1.589173336 0.1402076917 0.9741975260 +-65 -20 2.43171568388838 -1.592951846 -0.06177217358 0.9759594738 +-65 -25 2.48752035218660 -1.576624600 -0.2683459541 0.9683459541 +-65 -30 2.53887523222370 -1.538763267 -0.4770805209 0.9506909245 +-65 -35 2.58502948295627 -1.478132876 -0.6851035513 0.9224185089 +-65 -40 2.62516952193629 -1.393797998 -0.8890852020 0.8830925097 +-65 -45 2.65843312847634 -1.285251984 -1.085251984 0.8324766717 + +-60 45 1.55386051439498 -0.5172404895 1.717240490 0.5873040705 +-60 40 1.61686103022474 -0.6327452476 1.650486119 0.6539907736 +-60 35 1.68131710144239 -0.7450362294 1.571783753 0.7188220022 +-60 30 1.74679375208630 -0.8530606222 1.481189914 0.7811899145 +-60 25 1.81290038167905 -0.9557921782 1.378847041 0.8405020060 +-60 20 1.87928904302231 -1.052226478 1.264964235 0.8961783752 +-60 15 1.94564851771119 -1.141368591 1.139803388 0.9476445977 +-60 10 2.01169112192967 -1.222211714 1.003672392 0.9943193965 +-60 5 2.07714096283638 -1.293715618 0.8569297821 1.035602195 +-60 -2.84217e-14 2.14173672792810 -1.354798415 0.7000000000 1.070868364 +-60 -5 2.20519723931880 -1.404298649 0.5333954563 1.099447337 +-60 -10 2.26720745374150 -1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126911587 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946643558 -1.470247581 -0.01711147364 1.137522971 +-60 -25 2.44064240967104 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310587622 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249628270 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239853865 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350590946 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725745533 -0.4843934214 1.684393421 0.6892796942 +-55 40 1.61389995959197 -0.5894838893 1.614185530 0.7628648320 +-55 35 1.67510941879292 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902431338 -0.7860546374 1.442503991 0.9005051516 +-55 25 1.79841775362963 -0.8761967925 1.341731103 0.9636233682 +-55 20 1.86001874495922 -0.9601232436 1.231441399 1.022389302 +-55 15 1.92134162893325 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249312930 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852077762 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807407385 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860204118 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641938940 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170059947 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915036976 -1.331132429 0.03352230087 1.282172730 +-55 -25 2.38677985067164 -1.326427018 -0.1516769056 1.278877966 +-55 -30 2.43878789212031 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443153846 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109420903 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652033865 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969452709 -0.4444776924 1.644477692 0.7925108834 +-50 40 1.61061861053231 -0.5378834018 1.570887580 0.8708875797 +-50 35 1.66814588719484 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208298735 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836441382 -0.7857865890 1.299572133 1.078903053 +-50 20 1.83878708845345 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123462802 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266972109 -0.9804894903 0.9610502418 1.242278185 +-50 5 2.00520397575348 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937762961 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260967234 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045461789 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441045118 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424805697 -1.178259331 0.08916355816 1.408226786 +-50 -25 2.32670150511489 -1.178483091 -0.08268951938 1.408414543 +-50 -30 2.37807195260849 -1.166036630 -0.2618866971 1.397970722 +-50 -35 2.42803828184200 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636347040 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722387155 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517038957 -0.3966164062 1.596616406 0.8966164062 +-45 40 1.60711896535177 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515592302 -0.5522726705 1.436809256 1.052272670 +-45 30 1.71317762139667 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024610567 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247474290 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499787593 -0.7966159818 1.047427205 1.296615982 +-45 10 1.91610180092298 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254776873 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297835923 -0.9245677117 0.7000000000 1.424567712 +-45 -5 2.06370466335308 -0.9564751612 0.5725749347 1.456475161 +-45 -10 2.11281191532985 -0.9825048565 0.4385943948 1.482504857 +-45 -15 2.16207745626196 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667237392 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854824491 -1.018545631 -0.008109457188 1.518545631 +-45 -30 2.31111866834696 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316597073 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274139896 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434771785 -0.9191410188 -0.7191410188 1.419141019 + + +### -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 2.74049348569869 -1.437821528 -1.237821528 2.373146931e-16 +-40 -90 2.75369735828879 -1.270042543 -1.409454559 2.583336774e-16 +-35 -90 2.75742263616247 -1.081592649 -1.558748389 2.766168985e-16 +-30 -90 2.75163945631226 -0.8758197282 -1.682989671 2.918320673e-16 +-25 -90 2.73642590243860 -0.6564635583 -1.780044104 3.037178074e-16 +-20 -90 2.71199155420872 -0.4275557401 -1.848438451 3.120936992e-16 +-15 -90 2.67865610727481 -0.1932872158 -1.887383114 3.168630448e-16 +-10 -90 2.63685560557392 0.04211482932 -1.896795844 3.180157718e-16 +-5 -90 2.58714818347613 0.2745151785 -1.877303304 3.156286241e-16 +-2.84217e-14 -90 2.53020146046401 0.5000000000 -1.830201460 3.098603120e-16 +5 -90 2.46677943491183 0.7149939938 -1.757392594 3.009437975e-16 +10 -90 2.39773281675383 0.9163619342 -1.661305868 2.891765673e-16 +15 -90 2.32398204898895 1.101490815 -1.544794281 2.749080131e-16 +20 -90 2.24650574925929 1.268350218 -1.411024875 2.585259856e-16 +25 -90 2.16631532602256 1.415524417 -1.263348449 2.404408394e-16 +30 -90 2.08441421630099 1.542207108 -1.105155663 2.210678105e-16 +35 -90 2.00182501877856 1.648199660 -0.9397990564 2.008174666e-16 +40 -90 1.91952087127143 1.733844233 -0.7704382969 1.800767554e-16 +45 -90 1.83841591424573 1.799956360 -0.5999563596 1.591987395e-16 + +-45 -85 2.73731597733098 -1.431881436 -1.231881436 0.1690177250 +-40 -85 2.74992493289933 -1.263661187 -1.401849556 0.1838880086 +-35 -85 2.75309611700248 -1.075071386 -1.549435061 0.1968000671 +-30 -85 2.74683125851853 -0.8694903383 -1.672026846 0.2075254586 +-25 -85 2.73123383654069 -0.6506577753 -1.767593562 0.2158864629 +-20 -85 2.70653359826849 -0.4225764646 -1.834758004 0.2217625901 +-15 -85 2.67306687107810 -0.1893833692 -1.872813760 0.2250920373 +-10 -85 2.63127674558421 0.04477015464 -1.881736746 0.2258726975 +-5 -85 2.58171972437505 0.2758380700 -1.862182584 0.2241619300 +-2.84217e-14 -85 2.52505354810759 0.5000000000 -1.815444957 0.2200729175 +5 -85 2.46202517110840 0.7137692596 -1.743393818 0.2137692596 +10 -85 2.39346101577440 0.9140860097 -1.648398459 0.2054582426 +15 -85 2.32025533501256 1.098393350 -1.533234386 0.1953826918 +20 -85 2.24335580598378 1.264692989 -1.400976721 0.1838116454 +25 -85 2.16374383381485 1.411576531 -1.254882179 0.1710300292 +30 -85 2.08239538022673 1.538221895 -1.098253071 0.1573267579 +35 -85 2.00031080191456 1.644396045 -0.9343669304 0.1429885785 +40 -85 1.91844580653416 1.730393007 -0.7663252868 0.1282868396 +45 -85 1.83770431541571 1.796973708 -0.5969737078 0.1134704963 + +-45 -80 2.72772412019995 -1.413972667 -1.213972667 0.3374850214 +-40 -80 2.73856844403881 -1.244475759 -1.378985252 0.3665811925 +-35 -80 2.74010997635715 -1.055520244 -1.521513136 0.3917127038 +-30 -80 2.73243366510932 -0.8505611091 -1.639240460 0.4124712074 +-25 -80 2.71571872725334 -0.6333319755 -1.730438265 0.4285518410 +-20 -80 2.69025449102161 -0.4077448815 -1.794008564 0.4397610000 +-15 -80 2.65642033673210 -0.1777718829 -1.829479103 0.4460154130 +-10 -80 2.61467913718292 0.05266011635 -1.836990549 0.4473398837 +-5 -80 2.56558067063162 0.2797667510 -1.817277555 0.4438639508 +-2.84217e-14 -80 2.50975284401441 0.5000000000 -1.771624059 0.4358140078 +5 -80 2.44789091388350 0.7101305857 -1.701803585 0.4235027745 +10 -80 2.38075283891888 0.9073179316 -1.610014780 0.4073179316 +15 -80 2.30915523209552 1.089168991 -1.498808609 0.3877092831 +20 -80 2.23395699199476 1.253781113 -1.370996588 0.3651725753 +25 -80 2.15605312633612 1.399770630 -1.229564342 0.3402342545 +30 -80 2.07634284068998 1.526274828 -1.077560145 0.3134318133 +35 -80 1.99575913657373 1.632963190 -0.9180391209 0.2853039529 +40 -80 1.91520523319857 1.719991090 -0.7539287648 0.2563668693 +45 -80 1.83555295063524 1.787959493 -0.5879594932 0.2271020087 + +-45 -75 2.71155886181186 -1.383846274 -1.183846274 0.5047750879 +-40 -75 2.71953065949953 -1.212379716 -1.340734679 0.5468132092 +-35 -75 2.71845278790412 -1.022986020 -1.475049449 0.5828027433 +-30 -75 2.70853490766992 -0.8192148785 -1.584947196 0.6122497558 +-25 -75 2.69007414582605 -0.6047651853 -1.669176585 0.6348189528 +-20 -75 2.66344674877886 -0.3833803897 -1.727067673 0.6503308231 +-15 -75 2.62908882902705 -0.1587518771 -1.758495475 0.6587518771 +-10 -75 2.58748694564730 0.06555856667 -1.763839803 0.6601838854 +-5 -75 2.53917473697055 0.2861826725 -1.743943237 0.6548526167 +-2.84217e-14 -75 2.48472799344824 0.5000000000 -1.700062940 0.6430949266 +5 -75 2.42476157892201 0.7041828919 -1.633821133 0.6253454879 +10 -75 2.35992961583198 0.8962343488 -1.547156658 0.6021238119 +15 -75 2.29092334106733 1.074020183 -1.442272488 0.5740201832 +20 -75 2.21847193074377 1.235796426 -1.321584066 0.5416818179 +25 -75 2.14333447597376 1.380229013 -1.187657209 0.5057962248 +30 -75 2.06629447219684 1.506406232 -1.043146727 0.4670747578 +35 -75 1.98817038660588 1.613852599 -0.8907463697 0.4262392051 +40 -75 1.90977863268196 1.702511243 -0.7330970938 0.3839972090 +45 -75 1.83193389633796 1.772729829 -0.5727298287 0.3410269298 + +-45 -70 2.68857157406168 -1.341109829 -1.141109829 0.6701091756 +-40 -70 2.69267071896334 -1.167223868 -1.286920034 0.7231797504 +-35 -70 2.68812156764977 -0.9775693741 -1.410187757 0.7680455321 +-30 -70 2.67529311631950 -0.7757696039 -1.509697773 0.8042642160 +-25 -70 2.65462477020476 -0.5654231541 -1.584807327 0.8316018582 +-20 -70 2.62658775562824 -0.3500047124 -1.635368754 0.8500047124 +-15 -70 2.59167288195327 -0.1328058780 -1.661663688 0.8595752858 +-10 -70 2.55037851758129 0.08310375056 -1.664336120 0.8605479715 +-5 -70 2.50320620825032 0.2948972469 -1.644335195 0.8532682303 +-2.84217e-14 -70 2.45066074337639 0.5000000000 -1.602867817 0.8381753387 +5 -70 2.39325364318898 0.6960936776 -1.541360991 0.8157886850 +10 -70 2.33150583923614 0.8811183451 -1.461429542 0.7866960166 +15 -70 2.26595757507893 1.053276335 -1.364855392 0.7515459007 +20 -70 2.19717899795256 1.211041349 -1.253570052 0.7110413495 +25 -70 2.12575784036532 1.353164503 -1.129617181 0.6659261941 +30 -70 2.05232649183728 1.478694910 -0.9951493092 0.6169838912 +35 -70 1.97755122793203 1.586992927 -0.8523867816 0.5650225806 +40 -70 1.90212866757267 1.677743083 -0.7035795506 0.5108611778 +45 -70 1.82679233005429 1.750971090 -0.5509710904 0.4553162408 + +-45 -65 2.65843331605726 -1.285252110 -1.085252110 0.8324767304 +-40 -65 2.65782096670392 -1.108849993 -1.217352759 0.8940762751 +-35 -65 2.64914190505812 -0.9194560970 -1.327193396 0.9452958049 +-30 -65 2.63295879323296 -0.7206998078 -1.414314088 0.9859208509 +-25 -65 2.60983677201972 -0.5159614882 -1.478736442 1.015961488 +-20 -65 2.58033444482761 -0.3083292762 -1.520866434 1.035607026 +-15 -65 2.54497635054270 -0.1005779522 -1.541387431 1.045176124 +-10 -65 2.50424873690777 0.1048190132 -1.541182746 1.045080678 +-5 -65 2.45860026640019 0.3056634668 -1.521276739 1.035798354 +-2.84217e-14 -65 2.40844614579647 0.5000000000 -1.482793497 1.017853324 +5 -65 2.35417605983081 0.6860824715 -1.426932382 0.9918048581 +10 -65 2.29616646619470 0.8623447290 -1.354959074 0.9582431535 +15 -65 2.23479981843129 1.027380735 -1.268211698 0.9177921877 +20 -65 2.17046302497896 1.179930778 -1.168094459 0.8711067522 +25 -65 2.10356129223645 1.318877749 -1.056089000 0.8188777489 +30 -65 2.03454509658382 1.443261556 -0.9337769399 0.7618426988 +35 -65 1.96391052364671 1.552297260 -0.8028362337 0.7007840447 +40 -65 1.89221157563820 1.645406188 -0.6650419391 0.6365295099 +45 -65 1.82006413233306 1.722251208 -0.5222512079 0.5699450984 + +-45 -60 2.62074369475390 -1.215679480 -1.015679480 0.9905480095 +-40 -60 2.61480227397210 -1.037134744 -1.131885854 1.057639791 +-35 -60 2.60160505314082 -0.8489644610 -1.226520906 1.112277364 +-30 -60 2.58188700702364 -0.6546549716 -1.299921076 1.154654972 +-25 -60 2.55632319709024 -0.4572243774 -1.352774302 1.185169796 +-20 -60 2.52551418193823 -0.2592366874 -1.385985655 1.204344379 +-15 -60 2.48998174751211 -0.06284698883 -1.400573559 1.212766710 +-10 -60 2.45017032323549 0.1301375128 -1.397594400 1.211046691 +-5 -60 2.40645149104620 0.3181905249 -1.378091810 1.199786866 +-2.84217e-14 -60 2.35913513034744 0.5000000000 -1.343070954 1.179567565 +5 -60 2.30848611373496 0.6744081068 -1.293493783 1.150944172 +10 -60 2.25473809916560 0.8403612530 -1.230284587 1.114450326 +15 -60 2.19810669292988 0.9968702017 -1.154344838 1.070606491 +20 -60 2.13880046036807 1.142980264 -1.066573758 1.019931835 +25 -60 2.07704308524783 1.277756223 -0.9679036024 0.9629645938 +30 -60 2.01310063816702 1.400285974 -0.8593410492 0.9002859745 +35 -60 1.94728522518917 1.509691521 -0.7419889337 0.8325326990 +40 -60 1.87998632800520 1.605166663 -0.6170863412 0.7604201536 +45 -60 1.81166760474388 1.686014848 -0.4860148475 0.6847459915 + +-45 -55 2.57505624633569 -1.131780374 -0.9317803737 1.142584918 +-40 -55 2.56346115715724 -0.9520597028 -1.030497368 1.211707302 +-35 -55 2.54567972527258 -0.7665846494 -1.108870342 1.266584649 +-30 -55 2.52256350582389 -0.5784843313 -1.167989657 1.307980439 +-25 -55 2.49483360850882 -0.3902338299 -1.209112609 1.336775040 +-20 -55 2.46308530975489 -0.2037485544 -1.233533262 1.353874566 +-15 -55 2.42779515458429 -0.02048933225 -1.242492633 1.360147984 +-10 -55 2.38933031686454 0.1584330385 -1.237122499 1.356387776 +-5 -55 2.34796397236905 0.3321600672 -1.218419211 1.343291593 +-2.84217e-14 -55 2.30389097111047 0.5000000000 -1.187236999 1.321457573 +5 -55 2.25724835406692 0.6613552919 -1.144299426 1.291392361 +10 -55 2.20813473637469 0.8156641286 -1.090220234 1.253525703 +15 -55 2.15661765916269 0.9623522224 -1.025521985 1.208223501 +20 -55 2.10274273202313 1.100792085 -0.9506626864 1.155806456 +25 -55 2.04657382716133 1.230280869 -0.8660923781 1.096589689 +30 -55 1.98819752107120 1.350024140 -0.7722849978 1.030905054 +35 -55 1.92774231689635 1.459134333 -0.6697857866 0.9591343335 +40 -55 1.86541713144943 1.556656169 -0.5592737855 0.8817529973 +45 -55 1.80152257644735 1.641601931 -0.4416019309 0.7993582777 + +-45 -50 2.52093743356166 -1.033033487 -0.8330334866 1.286367833 +-40 -50 2.50372619207255 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985757214 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203111656 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606238588 -0.3161757580 -1.050294561 1.468671521 +-20 -50 2.39413394907184 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272391492 0.02555109548 -1.070667417 1.485766377 +-10 -50 2.32300131937538 0.1890460796 -1.063507315 1.479758338 +-5 -50 2.28440233776109 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560933280 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136559967 0.6472188315 -0.9827189436 1.411968845 +10 -50 2.15731774599010 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756499684 0.9244822299 -0.8841892491 1.329292615 +20 -50 2.06291284279742 1.054043532 -0.8222220926 1.277295997 +25 -50 2.01259370928634 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684145409 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363553198 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477051632 1.499516481 -0.4911773569 0.9995164809 +45 -50 1.78955149909522 1.588262778 -0.3882627778 0.9131608954 + +-45 -45 2.45802394897380 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599300160 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213183760 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980572973 -0.4002168102 -0.8592212530 1.559221253 +-25 -45 2.35157187731394 -0.2363844171 -0.8791814786 1.579181479 +-20 -45 2.31982371359470 -0.07820114267 -0.8885945834 1.588594583 +-15 -45 2.28674430178198 0.07430702604 -0.8887078073 1.588707807 +-10 -45 2.25246258145465 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380447107 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233540689 0.5000000000 -0.8417772771 1.541777277 +5 -45 2.14252021320205 0.6322915933 -0.8120998311 1.512099831 +10 -45 2.10326115374259 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120013061 0.8839430137 -0.7328948345 1.432894835 +20 -45 2.01997829762305 1.003466601 -0.6832631175 1.383263118 +25 -45 1.97559534451709 1.118649015 -0.6266970945 1.326697095 +30 -45 1.92913094275267 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796733243 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874114558 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713999999 1.525204995 -0.3252049953 1.025204995 + + diff --git a/test/Kerr-rotating-90-EE.par b/test/Kerr-rotating-90-EE.par new file mode 100644 index 0000000..d314cda --- /dev/null +++ b/test/Kerr-rotating-90-EE.par @@ -0,0 +1,68 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 19 +driver::global_ny = 19 +driver::global_nz = 19 + +ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry90 Slab SymBase" +grid::domain = "bitant" +grid::avoid_origin = "false" +#grid::type = "byspacing" +#grid::dxyz = 0.2 +grid::type = "byrange" +grid::xmin = -0.6 +grid::ymin = -0.6 +grid::zmin = -0.6 +grid::xmax = 3.0 +grid::ymax = 3.0 +grid::zmax = 3.0 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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/Kerr-rotating-90-EE/BH_diagnostics.ah1.gp b/test/Kerr-rotating-90-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..ca1a4f8 --- /dev/null +++ b/test/Kerr-rotating-90-EE/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 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616835435e-06 0.000000000 1.199898774 -0.000000000 1.079941067 -1.896292695 1.896685671 -1.896795844 1.896404298 -1.799352120 1.799352120 12.56580486 10.83709599 11.22743101 0.8624275259 0.8934907981 45.23550768 0.9486473693 1.897294739 1.068527762e-15 -1.470552902 -1.576279560e-15 0.7352764510 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071575689 0.7479030207 33.19249618 diff --git a/test/Kerr-rotating-90-EE/h.t0.ah1.gp b/test/Kerr-rotating-90-EE/h.t0.ah1.gp new file mode 100644 index 0000000..b6c2eac --- /dev/null +++ b/test/Kerr-rotating-90-EE/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 2.45802500869525 -0.9191414004 -0.7191414004 1.419141400 +-40 -45 2.43566695962338 -0.7428565610 -0.7811787716 1.481178772 +-35 -45 2.40997261697227 -0.5693352309 -0.8271689786 1.527168979 +-30 -45 2.38175005580881 -0.4002169047 -0.8592214167 1.559221417 +-25 -45 2.35157194269325 -0.2363844375 -0.8791815225 1.579181522 +-20 -45 2.31982370214809 -0.07820113982 -0.8885945756 1.588594576 +-15 -45 2.28674430384587 0.07430702565 -0.8887078087 1.588707809 +-10 -45 2.25246257545031 0.2213162523 -0.8804940719 1.580494072 +-5 -45 2.21702381398555 0.3631081233 -0.8646813103 1.564681310 +0 -45 2.18040236180216 0.5000000000 -0.8417772957 1.541777296 +5 -45 2.14252025570822 0.6322915960 -0.8120998611 1.512099861 +10 -45 2.10326121393269 0.7602239540 -0.7758033791 1.475803379 +15 -45 2.06247131027485 0.8839430343 -0.7328949110 1.432894911 +20 -45 2.01997849446151 1.003466650 -0.6832632523 1.383263252 +25 -45 1.97559557839912 1.118649088 -0.6266972516 1.326697252 +30 -45 1.92913149902019 1.229143170 -0.5629130171 1.262913017 +35 -45 1.88040836230858 1.334360895 -0.4915908495 1.191590850 +40 -45 1.82928924070023 1.433438016 -0.4124281092 1.112428109 +45 -45 1.77570748255075 1.525205193 -0.3252051931 1.025205193 + +-45 -40 2.41005349087077 -0.9656026987 -0.5297866839 1.465602699 +-40 -40 2.38611266409430 -0.7902097798 -0.5902097798 1.537612140 +-35 -40 2.35869490671419 -0.6149175530 -0.6360708883 1.592267281 +-30 -40 2.32859138701124 -0.4418727115 -0.6688831321 1.631371391 +-25 -40 2.29638964782695 -0.2724927782 -0.6900659660 1.656616109 +-20 -40 2.26251023001358 -0.1076500821 -0.7008809286 1.669504879 +-15 -40 2.22723906891975 0.05217135038 -0.7024033859 1.671319273 +-10 -40 2.19075758226649 0.2067480534 -0.6955187074 1.663114433 +-5 -40 2.15316634419794 0.3560173529 -0.6809307537 1.645729187 +0 -40 2.11449642977441 0.5000000000 -0.6591721058 1.619798240 +5 -40 2.07473278655828 0.6387377800 -0.6306274819 1.585780082 +10 -40 2.03382784267551 0.7722455367 -0.5955540243 1.543981163 +15 -40 1.99170264514222 0.9004695852 -0.5540955178 1.494572839 +20 -40 1.94826991346612 1.023253489 -0.5063124088 1.437627147 +25 -40 1.90344281288108 1.140307636 -0.4522047554 1.373144157 +30 -40 1.85714513125500 1.251181306 -0.3917392627 1.301084189 +35 -40 1.80932873901701 1.355240907 -0.3248851806 1.221410596 +40 -40 1.75999254389887 1.451656486 -0.2516564858 1.134140036 +45 -40 1.70921500655945 1.539408518 -0.1721673038 1.039408518 + +-45 -35 2.36085359456676 -0.9960428792 -0.3475405015 1.496042879 +-40 -35 2.33480188749775 -0.8225368075 -0.4036237030 1.576137992 +-35 -35 2.30528450153299 -0.6469777337 -0.4469777337 1.638053964 +-30 -35 2.27306046282935 -0.4718130337 -0.4786100193 1.683229550 +-25 -35 2.23872311573235 -0.2988456812 -0.4995466041 1.713130092 +-20 -35 2.20272066953989 -0.1293576113 -0.5107609419 1.729145826 +-15 -35 2.16538026654818 0.03576918264 -0.5131326646 1.732532997 +-10 -35 2.12693213690268 0.1959441974 -0.5074281779 1.724386146 +-5 -35 2.08752878617426 0.3507768026 -0.4942942488 1.705628951 +0 -35 2.04725701155790 0.5000000000 -0.4742583810 1.677014766 +5 -35 2.00616217599243 0.6434068533 -0.4477436693 1.639147834 +10 -35 1.96426174447972 0.7808012399 -0.4150825821 1.592502967 +15 -35 1.92154962351039 0.9119565353 -0.3765289824 1.537442720 +20 -35 1.87801268069493 1.036582596 -0.3322799589 1.474248566 +25 -35 1.83364506950852 1.154301300 -0.2824987739 1.403153666 +30 -35 1.78845689919843 1.264628022 -0.2273370661 1.324374582 +35 -35 1.74249177092494 1.366964256 -0.1669642559 1.238153274 +40 -35 1.69583132951083 1.460595143 -0.1015924870 1.144792712 +45 -35 1.64862504040602 1.544712708 -0.03151571346 1.044712708 + +-45 -30 2.31111875623686 -1.012982377 -0.1735207828 1.512982377 +-40 -30 2.28252560863505 -0.8418029551 -0.2232399450 1.599098492 +-35 -30 2.25059173508868 -0.6669597056 -0.2622068649 1.666591177 +-30 -30 2.21604826038704 -0.4910469103 -0.2910469103 1.716543601 +-25 -30 2.17949219466971 -0.3161186588 -0.3104623399 1.750172112 +-20 -30 2.14139566576852 -0.1437604522 -0.3211694127 1.768717306 +-15 -30 2.10212288386566 0.02482642232 -0.3238567637 1.773371934 +-10 -30 2.06194874132345 0.1887410305 -0.3191602506 1.765237335 +-5 -30 2.02107329128573 0.3473061786 -0.3076484811 1.745298365 +0 -30 1.97963530925625 0.5000000000 -0.2898176546 1.714414468 +5 -30 1.93773438649820 0.6463974957 -0.2660981221 1.673331033 +10 -30 1.89544359055328 0.7861243866 -0.2368616814 1.622692032 +15 -30 1.85281486048163 0.9188188392 -0.2024291783 1.563053187 +20 -30 1.80989537514794 1.044102654 -0.1630865500 1.494909756 +25 -30 1.76673530352027 1.161560363 -0.1190988218 1.418720776 +30 -30 1.72339809054510 1.270727057 -0.07072705655 1.334938421 +35 -30 1.67997650398570 1.371088637 -0.01824884978 1.244043500 +40 -30 1.63659071996764 1.462084393 0.03802892703 1.146567532 +45 -30 1.59340586280862 1.543128997 0.09774919277 1.043128997 + +-45 -25 2.26127850150270 -1.018545600 -0.008109442551 1.518545600 +-40 -25 2.22982321747783 -0.8497715284 -0.05010019917 1.608595068 +-35 -25 2.19524349559627 -0.6762494709 -0.08333080731 1.679858337 +-30 -25 2.15825176816869 -0.5006147932 -0.1081651050 1.733115661 +-25 -25 2.11944980567819 -0.3250628552 -0.1250628552 1.769353003 +-20 -25 2.07933157639795 -0.1513824560 -0.1345315057 1.789658589 +-15 -25 2.03829450833703 0.01899170243 -0.1370909827 1.795147405 +-10 -25 1.99665306572500 0.1849197457 -0.1332493128 1.786908918 +-5 -25 1.95464913592005 0.3454975614 -0.1234857800 1.765970954 +0 -25 1.91246581553956 0.5000000000 -0.1082429786 1.733282661 +5 -25 1.87024680720379 0.6478309775 -0.08792742010 1.689715805 +10 -25 1.82810738746157 0.7884830371 -0.06291131922 1.636068604 +15 -25 1.78613953893022 0.9215033379 -0.03353546099 1.573071873 +20 -25 1.74442874607884 1.046469016 -0.0001195790977 1.501411283 +25 -25 1.70305798006680 1.162969171 0.03703082948 1.421741974 +30 -25 1.66211365705400 1.270593838 0.07761558773 1.334707679 +35 -25 1.62170148492035 1.368935732 0.1213267294 1.240968834 +40 -25 1.58194152267369 1.457591441 0.1678436201 1.141213039 +45 -25 1.54298207775824 1.536178712 0.2168219314 1.036178712 + +-45 -20 2.21156666564151 -1.014461123 0.1487812304 1.514461123 +-40 -20 2.17703983527197 -0.8479601310 0.1153049931 1.606436329 +-35 -20 2.13968404777810 -0.6761118461 0.08865310530 1.679661789 +-30 -20 2.10020050673664 -0.5015246375 0.06862390753 1.734691557 +-25 -20 2.05919711655876 -0.3264506199 0.05492497182 1.772329074 +-20 -20 2.01718719253170 -0.1527931975 0.04720680253 1.793534570 +-15 -20 1.97459617936539 0.01786505244 0.04508938721 1.799352120 +-10 -20 1.93177098068766 0.1842240981 0.04818240218 1.790854132 +-5 -20 1.88898701194482 0.3452239230 0.05610074814 1.769098655 +0 -20 1.84646074285703 0.5000000000 0.06847323208 1.735105535 +5 -20 1.80436682701807 0.6478426358 0.08494524173 1.689849060 +10 -20 1.76284715243328 0.7881628594 0.1051806308 1.634252786 +15 -20 1.72201528056047 0.9204625511 0.1288624204 1.569187603 +20 -20 1.68197257405756 1.044312525 0.1556874747 1.495486372 +25 -20 1.64280989822793 1.159335256 0.1853646439 1.413949020 +30 -20 1.60461516176198 1.265194377 0.2176100341 1.325355539 +35 -20 1.56748131706479 1.361591387 0.2521418984 1.230480021 +40 -20 1.53150393468893 1.448262963 0.2886787696 1.130095793 +45 -20 1.49679264948872 1.524990253 0.3269340574 1.024990253 + +-45 -15 2.16207747879407 -1.002095957 0.2975146014 1.502095957 +-40 -15 2.12437786236350 -0.8376357971 0.2728535465 1.594132267 +-35 -15 2.08421569991811 -0.6676610269 0.2531698645 1.667592768 +-30 -15 2.04228699427783 -0.4947131866 0.2383520035 1.722893778 +-25 -15 1.99920515678998 -0.3210376873 0.2282162293 1.760721002 +-20 -15 1.95549795498352 -0.1485763405 0.2225282446 1.781948850 +-15 -15 1.91161081281437 0.02102142869 0.2210214287 1.787572364 +-10 -15 1.86791286479346 0.1863757154 0.2234117124 1.778651704 +-5 -15 1.82470155038615 0.3463466088 0.2294098639 1.756266297 +0 -15 1.78221295197138 0.5000000000 0.2387293456 1.721485518 +5 -15 1.74063764524306 0.6465745874 0.2510899269 1.675355201 +10 -15 1.70012803051335 0.7854530569 0.2662211434 1.618884732 +15 -15 1.66080212994073 0.9161352437 0.2838647563 1.553037872 +20 -15 1.62275822268639 1.038217177 0.3037729340 1.478739541 +25 -15 1.58607657859604 1.151373193 0.3257086541 1.396874320 +30 -15 1.55082781997796 1.255343831 0.3494437080 1.308293893 +35 -15 1.51707688851375 1.349927173 0.3747574295 1.213821798 +40 -15 1.48488453074955 1.434972416 0.4014358074 1.114256736 +45 -15 1.45431503425790 1.510380412 0.4292693846 1.010380412 + +-45 -10 2.11281191287292 -0.9825048548 0.4385943951 1.482504855 +-40 -10 2.07193739306178 -0.8198299145 0.4226531687 1.572912042 +-35 -10 2.02903361989624 -0.6518526257 0.4099392900 1.645016031 +-30 -10 1.98479514211355 -0.4810255095 0.4003876584 1.699186026 +-25 -10 1.93983677707056 -0.3095385669 0.3938855951 1.736061059 +-20 -10 1.89469196005142 -0.1393064056 0.3902852002 1.756479913 +-15 -10 1.84981425336791 0.02802947932 0.3894144888 1.761417963 +-10 -10 1.80558123353867 0.1910869531 0.3910869531 1.751932947 +-5 -10 1.76229763903009 0.3487217576 0.3951098044 1.729118223 +0 -10 1.72020328066613 0.5000000000 0.4012898351 1.694069528 +5 -10 1.67948907272390 0.6441698323 0.4094362833 1.647868724 +10 -10 1.64030272966850 0.7806358998 0.4193641002 1.591565276 +15 -10 1.60275176611695 0.9089338074 0.4308965072 1.526161746 +20 -10 1.56691781409275 1.028708949 0.4438646243 1.452615900 +25 -10 1.53285901207418 1.139697372 0.4581083987 1.371835441 +30 -10 1.50061922619122 1.241711681 0.4734758461 1.284682316 +35 -10 1.47022852595371 1.334627170 0.4898233297 1.191971129 +40 -10 1.44171012490902 1.418373382 0.5070145671 1.094474777 +45 -10 1.41508340437628 1.492927011 0.5249201781 0.9929270107 + +-45 -5 2.06370467767802 -0.9564751713 0.5725749338 1.456475171 +-40 -5 2.01974303462140 -0.7953598679 0.5649393953 1.543749776 +-35 -5 1.97425185448580 -0.6294874835 0.5588741980 1.613075298 +-30 -5 1.92792334404703 -0.4612066211 0.5543437370 1.664858704 +-25 -5 1.88136543059704 -0.2926116512 0.5512901668 1.699761171 +-20 -5 1.83510425393327 -0.1255322290 0.5496388618 1.718635674 +-15 -5 1.78958555502407 0.03846627156 0.5493036359 1.722467324 +-10 -5 1.74517817165245 0.1980715956 0.5501913180 1.712321070 +-5 -5 1.70217696537054 0.3522057719 0.5522057719 1.689295757 +0 -5 1.66080853056103 0.5000000000 0.5552509990 1.654488653 +5 -5 1.62124873517157 0.6407675055 0.5592324945 1.608979950 +10 -5 1.58362745448564 0.7739789657 0.5640590711 1.553811927 +15 -5 1.54802936708320 0.8992364397 0.5696444568 1.489970677 +20 -5 1.51451259754844 1.016252109 0.5759068660 1.418391012 +25 -5 1.48310784742668 1.124827341 0.5827698665 1.339946557 +30 -5 1.45382971361295 1.224837298 0.5901619176 1.255455027 +35 -5 1.42667465303544 1.316213575 0.5980167580 1.165673790 +40 -5 1.40163355241376 1.398936064 0.6062724951 1.071310283 +45 -5 1.37868843129735 1.473019779 0.6148718000 0.9730197789 + +-45 0 2.01464299638394 -0.9245677244 0.7000000000 1.424567724 +-40 0 1.96776546582394 -0.7648552602 0.7000000000 1.507395800 +-35 0 1.91992720429013 -0.6012250039 0.7000000000 1.572712294 +-30 0 1.87180774198068 -0.4359038710 0.7000000000 1.621033056 +-25 0 1.82399679723426 -0.2708543559 0.7000000000 1.653102501 +-20 0 1.77699560492343 -0.1077682915 0.7000000000 1.669829657 +-15 0 1.73122230085196 0.05192669723 0.7000000000 1.672232331 +-10 0 1.68701724890192 0.2070525290 0.7000000000 1.661387666 +-5 0 1.64464686001669 0.3566595814 0.7000000000 1.638388482 +0 0 1.60430847716497 0.5000000000 0.7000000000 1.604308477 +5 0 1.56614954425751 0.6364989268 0.7000000000 1.560189872 +10 0 1.53026961982009 0.7657285308 0.7000000000 1.507021386 +15 0 1.49672526599818 0.8873810041 0.7000000000 1.445725589 +20 0 1.46554810163544 1.001246972 0.7000000000 1.377164737 +25 0 1.43674130598123 1.107193113 0.7000000000 1.302129834 +30 0 1.41029352049290 1.205146760 0.7000000000 1.221350016 +35 0 1.38617499519660 1.295077314 0.7000000000 1.135488081 +40 0 1.36435286822016 1.376989119 0.7000000000 1.045154933 +45 0 1.34478431178021 1.450906106 0.7000000000 0.9509061061 + +-45 5 1.96549258598101 -0.8871612454 0.8213608835 1.387161245 +-40 5 1.91595027693576 -0.7287925023 0.8281199631 1.464417879 +-35 5 1.86608711634924 -0.5676054508 0.8333938425 1.524698596 +-30 5 1.81655049244385 -0.4056793499 0.8372419485 1.568682649 +-25 5 1.76789443968926 -0.2448067814 0.8397406814 1.597243297 +-20 5 1.72057542565710 -0.08649277224 0.8409771019 1.611375648 +-15 5 1.67496160227877 0.06802776423 0.8410441780 1.612142331 +-10 5 1.63134386828287 0.2177657507 0.8400369766 1.600629967 +-5 5 1.58994209498418 0.3619507435 0.8380492565 1.577910223 +0 5 1.55090921665152 0.5000000000 0.8351706447 1.545007539 +5 5 1.51435145038681 0.6314859784 0.8314859784 1.502891610 +10 5 1.48033205313851 0.7561081166 0.8270738985 1.452461306 +15 5 1.44887761203143 0.8736652235 0.8220062308 1.394537599 +20 5 1.41999347275480 0.9840333623 0.8163486131 1.329870733 +25 5 1.39366003865367 1.087143341 0.8101598597 1.259132958 +30 5 1.36984695877198 1.182965934 0.8034931132 1.182931697 +35 5 1.34851094118625 1.271495403 0.7963958512 1.101809622 +40 5 1.32960584068965 1.352741174 0.7889109980 1.016257357 +45 5 1.31307839965421 1.426715003 0.7810770571 0.9267150032 + +-45 10 1.91610187804270 -0.8444785687 0.9370678466 1.344478569 +-40 10 1.86422648734079 -0.6875174866 0.9495429210 1.415228231 +-35 10 1.81273768445375 -0.5290645956 0.9591401023 1.469656551 +-30 10 1.76222903827834 -0.3710176700 0.9660151455 1.508646859 +-25 10 1.71319096407972 -0.2149540489 0.9703487420 1.533223906 +-20 10 1.66601273728345 -0.06214552927 0.9723338739 1.544482148 +-15 10 1.62099042517589 0.08641269328 0.9721657804 1.543528842 +-10 10 1.57834504142290 0.2299643091 0.9700356909 1.531448504 +-5 10 1.53823248284946 0.3679558428 0.9661253084 1.509271623 +0 10 1.50074914151095 0.5000000000 0.9606023536 1.477949390 +5 10 1.46595280649747 0.6258395626 0.9536204033 1.438352782 +10 10 1.43386700578632 0.7453172515 0.9453172515 1.391263269 +15 10 1.40448873862597 0.8583480233 0.9358149484 1.337373030 +20 10 1.37779968221158 0.9648967647 0.9252212823 1.277293364 +25 10 1.35376577181303 1.064957638 0.9136299345 1.211555564 +30 10 1.33234732871639 1.158539861 0.9011228739 1.140624498 +35 10 1.31350070023682 1.245655082 0.8877716278 1.064905819 +40 10 1.29717906155725 1.326306690 0.8736386937 0.9847539668 +45 10 1.28333529546524 1.400482809 0.8587794149 0.9004828088 + +-45 15 1.86631512103078 -0.7966160673 1.047427228 1.296616067 +-40 15 1.81252133440882 -0.6412722109 1.064441785 1.360115258 +-35 15 1.75988017085249 -0.4859552865 1.077296599 1.408090077 +-30 15 1.70890490019057 -0.3323366126 1.086288766 1.441649302 +-25 15 1.65999268449037 -0.1817292113 1.091734488 1.461973011 +-20 15 1.61343882729396 -0.03512623093 1.093951560 1.470247236 +-15 15 1.56944658852660 0.1067550572 1.093244943 1.467610106 +-10 15 1.52814883273277 0.2434224082 1.089899256 1.455123831 +-5 15 1.48962460458969 0.3745625705 1.084173864 1.433756380 +0 15 1.45390550199155 0.5000000000 1.076298434 1.404364873 +5 15 1.42099679118735 0.6196584591 1.066474766 1.367702446 +10 15 1.39088140654129 0.7335302649 1.054876183 1.324415946 +15 15 1.36352879609223 0.8416496027 1.041649603 1.275053676 +20 15 1.33890260996874 0.9440713184 1.026918357 1.220075920 +25 15 1.31696312670913 1.040853127 1.010784427 1.159863273 +30 15 1.29767290588509 1.132042585 0.9933319846 1.094729870 +35 15 1.28099828797299 1.217666495 0.9746302307 1.024933974 +40 15 1.26690658922453 1.297720422 0.9547355939 0.9506861790 +45 15 1.25537314121857 1.372166210 0.9336962316 0.8721662098 + +-45 20 1.81598262284960 -0.7435686993 1.152621991 1.243568699 +-40 20 1.76077540917140 -0.5902212319 1.172897452 1.299275070 +-35 20 1.70753048384664 -0.4385716698 1.187872712 1.340419259 +-30 20 1.65664862849887 -0.2900076263 1.198032609 1.368333347 +-25 20 1.60840394221268 -0.1455265620 1.203857164 1.384336179 +-20 20 1.56297079899579 -0.005801697136 1.205801697 1.389678742 +-15 20 1.52044256857904 0.1287552332 1.204282336 1.385504332 +-10 20 1.48085034618974 0.2579335965 1.199668090 1.372826793 +-5 20 1.44418803134479 0.3816689811 1.192280565 1.352529736 +0 20 1.41041856747347 0.5000000000 1.182391561 1.325359920 +5 20 1.37949355103113 0.6130302107 1.170228149 1.291941220 +10 20 1.35135701783888 0.7208988464 1.155974489 1.252779612 +15 20 1.32595530996919 0.8237570297 1.139777112 1.208277684 +20 20 1.30323987247571 0.9217487235 1.121748723 1.158745094 +25 20 1.28317419772667 1.014996890 1.101973966 1.104414395 +30 20 1.26573114979362 1.103590432 1.080512425 1.045449295 +35 20 1.25089777795825 1.187576138 1.057404390 0.9819604915 +40 20 1.23867103750833 1.266949298 1.032674101 0.9140145816 +45 20 1.22906181488225 1.341650566 1.006335754 0.8416505661 + +-45 25 1.76497046451115 -0.6852534446 1.252692758 1.185253445 +-40 25 1.70894816807178 -0.5344719540 1.274880713 1.232835668 +-35 25 1.65572063611676 -0.3871637821 1.290812356 1.267001187 +-30 25 1.60553873002885 -0.2443644102 1.301199728 1.289276978 +-25 25 1.55852495600238 -0.1067051207 1.306705121 1.301083330 +-20 25 1.51471027068094 0.02549381374 1.307922977 1.303695032 +-15 25 1.47406358006147 0.1521421167 1.305371464 1.298223294 +-10 25 1.43650851241668 0.2733129129 1.299488089 1.285606356 +-5 25 1.40195121097123 0.3891847765 1.290636378 1.266623801 +0 25 1.37028681378097 0.5000000000 1.279108231 1.241901610 +5 25 1.34141616217507 0.6060303174 1.265133207 1.211932073 +10 25 1.31524836065214 0.7075517250 1.248883435 1.177084324 +15 25 1.29171161411032 0.8048254322 1.230482783 1.137624000 +20 25 1.27075145345714 0.8980823512 1.210011071 1.093722271 +25 25 1.25233832755320 0.9875122937 1.187512294 1.045473488 +30 25 1.23646262613700 1.073252302 1.162997859 0.9929021131 +35 25 1.22313998895131 1.155379582 1.136454196 0.9359790439 +40 25 1.21240930930989 1.233903726 1.107847787 0.8746324015 +45 25 1.20432818887175 1.308758086 1.077130089 0.8087580857 + +-45 30 1.71317791803766 -0.6215382126 1.347520389 1.121538213 +-40 30 1.65703638689679 -0.4741035597 1.370240972 1.160891417 +-35 30 1.60451791641143 -0.3319624240 1.385987658 1.188165477 +-30 30 1.55567905302056 -0.1957208227 1.395720823 1.205023813 +-25 30 1.51046720924596 -0.06559985672 1.400287083 1.212932807 +-20 30 1.46875531537194 0.05845311491 1.400406761 1.213140096 +-15 30 1.43038067873106 0.1766701368 1.396679030 1.206683477 +-10 30 1.39516127321845 0.2893951234 1.389586935 1.194399608 +-5 30 1.36291883009388 0.3970303129 1.379511770 1.176948910 +0 30 1.33348657258702 0.5000000000 1.366743286 1.154833247 +5 30 1.30672067176808 0.5987238681 1.351492999 1.128418975 +10 30 1.28250142095264 0.6935984454 1.333902504 1.097951343 +15 30 1.26074240536884 0.7849840435 1.314055272 1.063574930 +20 30 1.24138670335288 0.8731938372 1.291981272 1.025341641 +25 30 1.22441443553975 0.9584863710 1.267666486 0.9832271956 +30 30 1.20983874907075 1.041056337 1.241056337 0.9371370653 +35 30 1.19770924479310 1.121027086 1.212062690 0.8869185954 +40 30 1.18811046648522 1.198441292 1.180568997 0.8323699188 +45 30 1.18115709486416 1.273248828 1.146435419 0.7732488278 + +-45 35 1.66055556570791 -0.5522729301 1.436809438 1.052272930 +-40 35 1.60508886156047 -0.4091945274 1.458699966 1.083535844 +-35 35 1.55402636124150 -0.2731946459 1.473194646 1.104236392 +-30 35 1.50719535785975 -0.1443788527 1.481499471 1.116096912 +-25 35 1.46434692727118 -0.02252429538 1.484622436 1.120556968 +-20 35 1.42519430453220 0.09279590212 1.483381035 1.118784064 +-15 35 1.38944520801754 0.2021200874 1.478422799 1.111702968 +-10 35 1.35682131643784 0.3060354690 1.470247561 1.100027518 +-5 35 1.32706980469921 0.4051368294 1.459228733 1.084291002 +0 35 1.29997170901213 0.5000000000 1.445633140 1.064874483 +5 35 1.27534679147791 0.5911658451 1.429637526 1.042030378 +10 35 1.25305282903730 0.6791302962 1.411339712 1.015898392 +15 35 1.23299203151132 0.7643382816 1.390771469 0.9865238972 +20 35 1.21510732159584 0.8471784017 1.367903337 0.9538648191 +25 35 1.19938892252727 0.9279790806 1.342653350 0.9178041002 +30 35 1.18587235382440 1.007002004 1.314889512 0.8781532304 +35 35 1.17463925135377 1.084433316 1.284433316 0.8346572759 +40 35 1.16582130898609 1.160373628 1.251065183 0.7870026431 +45 35 1.15959722461502 1.234822004 1.214527907 0.7348220045 + +-45 40 1.60711929422937 -0.4773220319 1.520070557 0.9773220319 +-40 40 1.55322186225338 -0.3398522279 1.539852228 1.000896910 +-35 40 1.50440675210981 -0.2111091350 1.552163652 1.015569094 +-30 40 1.46025144978458 -0.09064505696 1.558421786 1.023027248 +-25 40 1.42030364483706 0.02221770833 1.559747717 1.024607431 +-20 40 1.38412533059933 0.1282607435 1.557010392 1.021345213 +-15 40 1.35130895577002 0.2282937098 1.550865218 1.014021680 +-10 40 1.32149552368006 0.3231063364 1.541796345 1.003213818 +-5 40 1.29437350080919 0.4134449953 1.530144953 0.9893282304 +0 40 1.26968509150354 0.5000000000 1.516137845 0.9726352089 +5 40 1.24722393530406 0.5834021042 1.499905634 0.9532904127 +10 40 1.22683234176000 0.6642221737 1.481495633 0.9313502284 +15 40 1.20840526055391 0.7429727924 1.460884475 0.9067868063 +20 40 1.19188609098316 0.8201089089 1.437981412 0.8794919989 +25 40 1.17727057416303 0.8960273107 1.412633311 0.8492833085 +30 40 1.16461036342777 0.9710636340 1.384626548 0.8159061476 +35 40 1.15401407672391 1.045484092 1.353685480 0.7790320194 +40 40 1.14565453296845 1.119473969 1.319473969 0.7382603282 +45 40 1.13977348828880 1.193119512 1.281596327 0.6931195124 + +-45 45 1.55298528956801 -0.3966164750 1.596616475 0.8966164750 +-40 45 1.50163042502510 -0.2662423709 1.613172098 0.9131720983 +-35 45 1.45587635692358 -0.1459906928 1.622570320 0.9225703202 +-30 45 1.41504143106031 -0.03483538878 1.626362067 0.9263620670 +-25 45 1.37848608687556 0.06833312929 1.625712592 0.9257125916 +-20 45 1.34564049659901 0.1646077595 1.621482607 0.9214826073 +-15 45 1.31600865590570 0.2550160558 1.614292527 0.9142925269 +-10 45 1.28917289222827 0.3404983341 1.604578898 0.9045788978 +-5 45 1.26478381674992 0.4219049299 1.592630736 0.8926307364 +0 45 1.24255996388395 0.5000000000 1.578622576 0.8786225765 +5 45 1.22227984174779 0.5754706288 1.562633235 0.8626332348 +10 45 1.20377685935251 0.6489361245 1.544658735 0.8446587352 +15 45 1.18694050005634 0.7209570309 1.524622866 0.8246228657 +20 45 1.17171285184045 0.7920418935 1.502378508 0.8023785078 +25 45 1.15809055823453 0.8626509778 1.477707532 0.7777075316 +30 45 1.14613280366098 0.9331974811 1.450320047 0.7503200470 +35 45 1.13596543257034 1.004042183 1.419846839 0.7198468386 +40 45 1.12778983284384 1.075481384 1.385832007 0.6858320070 +45 45 1.12189697643767 1.147727521 1.347727521 0.6477275213 + + +### +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 1.77570787342240 1.525205419 -0.3252054187 1.025205419 +45 -40 1.70921527113961 1.539408678 -0.1721674388 1.039408678 +45 -35 1.64862510642604 1.544712750 -0.03151574275 1.044712750 +45 -30 1.59340601701134 1.543129098 0.09774913449 1.043129098 +45 -25 1.54298213276519 1.536178749 0.2168219142 1.036178749 +45 -20 1.49679271035281 1.524990295 0.3269340423 1.024990295 +45 -15 1.45431507676411 1.510380441 0.4292693767 1.010380441 +45 -10 1.41508343782424 1.492927034 0.5249201740 0.9929270342 +45 -5 1.37868844560092 1.473019789 0.6148717991 0.9730197890 +45 0 1.34478432038144 1.450906112 0.7000000000 0.9509061122 +45 5 1.31307840547591 1.426715007 0.7810770575 0.9267150073 +45 10 1.28333530824069 1.400482818 0.8587794164 0.9004828178 +45 15 1.25537315669435 1.372166221 0.9336962345 0.8721662206 +45 20 1.22906182809845 1.341650575 1.006335757 0.8416505751 +45 25 1.20432819848110 1.308758092 1.077130092 0.8087580922 +45 30 1.18115710975497 1.273248838 1.146435425 0.7732488376 +45 35 1.15959724231095 1.234822016 1.214527915 0.7348220157 +45 40 1.13977353672856 1.193119542 1.281596352 0.6931195418 +45 45 1.12189699737914 1.147727533 1.347727533 0.6477275334 + +50 -45 1.78955203764579 1.588263105 -0.3882631053 0.9131611703 +50 -40 1.71971045562060 1.608182239 -0.2298753079 0.9298753079 +50 -35 1.65532991188757 1.617451711 -0.08244811128 0.9376533181 +50 -30 1.59612945964564 1.618221063 0.05439476828 0.9382988815 +50 -25 1.54172761817189 1.612202718 0.1813713552 0.9332488905 +50 -20 1.49170670682099 1.600729443 0.2993672467 0.9236216698 +50 -15 1.44564286707371 1.584809808 0.4093260881 0.9102635096 +50 -10 1.40314147846635 1.565195375 0.5121773157 0.8938050463 +50 -5 1.36383956902614 1.542423216 0.6087997860 0.8746969360 +50 0 1.32742451262693 1.516866172 0.7000000000 0.8532520295 +50 5 1.29362664296235 1.488757385 0.7865050621 0.8296659568 +50 10 1.26222904728583 1.458221651 0.8689603305 0.8040434335 +50 15 1.23306459722159 1.425291162 0.9479310197 0.7764114730 +50 20 1.20601731075424 1.389919417 1.023904179 0.7467310546 +50 25 1.18102847575650 1.351994260 1.097291448 0.7149080691 +50 30 1.15809399513220 1.311340891 1.168427882 0.6807958426 +50 35 1.13726922556542 1.267728193 1.237569068 0.6442004433 +50 40 1.11867827437892 1.220876814 1.304887469 0.6048874690 +50 45 1.10251491873897 1.170461816 1.370461816 0.5625842626 + +55 -45 1.80152326318295 1.641602366 -0.4416023661 0.7993585824 +55 -40 1.72903879578089 1.667209839 -0.2794053454 0.8172891279 +55 -35 1.66151400370443 1.680613325 -0.1266743499 0.8266743499 +55 -30 1.59889636024257 1.684002645 0.01641575407 0.8290475774 +55 -25 1.54099961589308 1.679213631 0.1501236534 0.8256942733 +55 -20 1.48755699345944 1.667739061 0.2749777405 0.8176596930 +55 -15 1.43826139253711 1.650761074 0.3916544996 0.8057715785 +55 -10 1.39280417807342 1.629200216 0.5008915353 0.7906745033 +55 -5 1.35088339147020 1.603748047 0.6034345585 0.7728527031 +55 0 1.31223075013490 1.574916502 0.7000000000 0.7526646373 +55 5 1.27660634909221 1.543059508 0.7912558823 0.7303581300 +55 10 1.24381439604760 1.508408437 0.8778096151 0.7060951893 +55 15 1.21370113653889 1.471089143 0.9602025516 0.6799639382 +55 20 1.18615816810492 1.431139601 1.038907099 0.6519909677 +55 25 1.16112942871817 1.388526924 1.114326909 0.6221532504 +55 30 1.13860647412848 1.343152258 1.186794183 0.5903815672 +55 35 1.11863266805044 1.294860971 1.256567643 0.5565676434 +55 40 1.10130988167675 1.243453376 1.323831453 0.5205716581 +55 45 1.08679417195977 1.188687636 1.388687636 0.4822242745 + +60 -45 1.81166785135560 1.686015009 -0.4860150090 0.6847460847 +60 -40 1.73713359445686 1.717006154 -0.3211894147 0.7026388305 +60 -35 1.66704901748292 1.734470536 -0.1643855748 0.7127218961 +60 -30 1.60155792109102 1.740561431 -0.01623847629 0.7162384763 +60 -25 1.54065448107208 1.737173739 0.1230964112 0.7142825910 +60 -20 1.48422079746672 1.725914039 0.2538037799 0.7077818006 +60 -15 1.43207394858457 1.708111937 0.3762873822 0.6975037518 +60 -10 1.38399979702729 1.684844252 0.4910799905 0.6840701477 +60 -5 1.33976733055863 1.656956426 0.5987794285 0.6679691041 +60 0 1.29915875259970 1.625104483 0.7000000000 0.6495793763 +60 5 1.26196800210375 1.589772796 0.7953427655 0.6291806170 +60 10 1.22802110812175 1.551310668 0.8853744359 0.6069744971 +60 15 1.19717384589466 1.509947856 0.9706147123 0.5830936663 +60 20 1.16931874500717 1.465816049 1.051528293 0.5576141556 +60 25 1.14439259187203 1.418968191 1.128521905 0.5305665324 +60 30 1.12237090236798 1.369384763 1.201939527 0.5019395267 +60 35 1.10327340465901 1.316987681 1.272060933 0.4716880575 +60 40 1.08716613797877 1.261650045 1.339100272 0.4397388584 +60 45 1.07415596801568 1.203200147 1.403200147 0.4059927944 + +65 -45 1.82006441978053 1.722251401 -0.5222514010 0.5699451885 +65 -40 1.74396787334546 1.758098892 -0.3556703166 0.5866611482 +65 -35 1.67184290482566 1.779338373 -0.1958023728 0.5965652808 +65 -30 1.60399396657763 1.788036504 -0.04364822255 0.6006212860 +65 -25 1.54056957158009 1.786093868 0.1002845805 0.5997154195 +65 -20 1.48159117211328 1.775189776 0.2358688785 0.5946307581 +65 -15 1.42699729975310 1.756771526 0.3632490845 0.5860421872 +65 -10 1.37666874259306 1.732052626 0.4827558804 0.5745155748 +65 -5 1.33044851165219 1.702023107 0.5948366048 0.5605125801 +65 0 1.28817168758068 1.667480031 0.7000000000 0.5444048794 +65 5 1.24966713196327 1.629039385 0.7987781468 0.5264797114 +65 10 1.21478137410524 1.587171181 0.8916976118 0.5069562472 +65 15 1.18337730731570 1.542212837 0.9792600881 0.4859918275 +65 20 1.15534361449733 1.494391970 1.061929078 0.4636925910 +65 25 1.13060266860989 1.443846474 1.140122839 0.4401228391 +65 30 1.10910602853903 1.390632435 1.214206876 0.4153087250 +65 35 1.09084217071940 1.334741257 1.284492121 0.3892462408 +65 40 1.07583457210942 1.276107349 1.351231391 0.3619048006 +65 45 1.06413824342831 1.214614518 1.414614518 0.3332302226 + +70 -45 1.82679242946048 1.750971158 -0.5509711585 0.4553162656 +70 -40 1.74953369797673 1.790979818 -0.3832606894 0.4698782269 +70 -35 1.67582925622984 1.815533650 -0.2211465787 0.4788150909 +70 -30 1.60610678469630 1.826587567 -0.06590568864 0.4828383874 +70 -25 1.54063980764204 1.826012309 0.08167030548 0.4826290108 +70 -20 1.47957188645481 1.815526559 0.2211874901 0.4788125099 +70 -15 1.42295245284147 1.796666397 0.3525592861 0.4719479722 +70 -10 1.37075113757653 1.770758989 0.4759309043 0.4625184469 +70 -5 1.32288196445690 1.738922602 0.5916083173 0.4509309497 +70 0 1.27923108545857 1.702084011 0.7000000000 0.4375227992 +70 5 1.23966069247936 1.660983135 0.8015728629 0.4225633037 +70 10 1.20403524260627 1.616204514 0.8968169718 0.4062652185 +70 15 1.17222146275324 1.568187611 0.9862200076 0.3887884948 +70 20 1.14410069516902 1.517250236 1.070248807 0.3702488067 +70 25 1.11957692943720 1.463607965 1.149337773 0.3507246166 +70 30 1.09857468266217 1.407383948 1.223878367 0.3302607481 +70 35 1.08104883464416 1.348628292 1.294215927 0.3088754383 +70 40 1.06698128981924 1.287324824 1.360643970 0.2865628008 +70 45 1.05637921382123 1.223399061 1.423399061 0.2632957259 + +75 -45 1.83193395520859 1.772729870 -0.5727298696 0.3410269407 +75 -40 1.75384236556716 1.816082584 -0.4043244105 0.3526432655 +75 -35 1.67896672148127 1.843350769 -0.2406243347 0.3599497536 +75 -30 1.60782323479562 1.856375796 -0.08310393096 0.3634397992 +75 -25 1.54078229065952 1.856983164 0.06722835857 0.3636025430 +75 -20 1.47808654063141 1.846907372 0.2097658082 0.3609027426 +75 -15 1.41987820614356 1.827746749 0.3442313309 0.3557686691 +75 -10 1.36620255088128 1.800916408 0.4706133376 0.3485795010 +75 -5 1.31703635215099 1.767641033 0.5890957802 0.3396633910 +75 0 1.27231056188628 1.728957631 0.7000000000 0.3292982047 +75 5 1.23191638356872 1.685713480 0.8037364877 0.3177109695 +75 10 1.19573289310191 1.638592912 0.9007646504 0.3050850512 +75 15 1.16362813443292 1.588123943 0.9915619318 0.2915619318 +75 20 1.13547540222615 1.534702738 1.076600998 0.2772477630 +75 25 1.11116020879072 1.478610479 1.156333561 0.2622178876 +75 30 1.09058116947169 1.420025205 1.231176800 0.2465200108 +75 35 1.07366194187318 1.359042991 1.301508378 0.2301798758 +75 40 1.06034781374297 1.295684560 1.367658620 0.2132030352 +75 45 1.05060556634615 1.229904635 1.429904635 0.1955773576 + +80 -45 1.83555296543273 1.787959504 -0.5879595036 0.2271020105 +80 -40 1.75690394578735 1.833754284 -0.4191527275 0.2351768658 +80 -35 1.68122308956155 1.863032582 -0.2544056891 0.2403394199 +80 -30 1.60908495639273 1.877539986 -0.09532308178 0.2428974665 +80 -25 1.54092849650189 1.879057243 0.05693504651 0.2431649999 +80 -20 1.47706911853973 1.869321395 0.2016077712 0.2414483072 +80 -15 1.41771880986619 1.849970881 0.3382763925 0.2380362896 +80 -10 1.36298068286971 1.822483154 0.4668105385 0.2331894615 +80 -5 1.31287988951370 1.788161825 0.5873004436 0.2271376852 +80 0 1.26738286573265 1.748128472 0.7000000000 0.2200787250 +80 5 1.22640334331022 1.703313404 0.8052762815 0.2121766193 +80 10 1.18983118795732 1.654478359 0.9035656833 0.2035656833 +80 15 1.15753456412347 1.602219950 0.9953389455 0.1943511159 +80 20 1.12937896818820 1.546994189 1.081074720 0.1846133242 +80 25 1.10523419505360 1.489131699 1.161239686 0.1744106060 +80 30 1.08497767782778 1.428850978 1.236272362 0.1637814885 +80 35 1.06850813253216 1.366280869 1.306576395 0.1527486901 +80 40 1.05574253617211 1.301467339 1.372510948 0.1413203160 +80 45 1.04661730228673 1.234383985 1.434383985 0.1294917107 + +85 -45 1.83770431925234 1.796973710 -0.5969737105 0.1134704966 +85 -40 1.75873582099605 1.844254187 -0.4279631922 0.1176070022 +85 -35 1.68258425240481 1.874766390 -0.2626217895 0.1202764741 +85 -30 1.60985759212930 1.890192942 -0.1026282691 0.1216261225 +85 -25 1.54103557206671 1.892282640 0.05076794255 0.1218089474 +85 -20 1.47647801829435 1.882770374 0.1967127432 0.1209767319 +85 -15 1.41643978470055 1.863316349 0.3347004852 0.1192747254 +85 -10 1.36106050386116 1.835435325 0.4645267212 0.1168354518 +85 -5 1.31039584105403 1.800479433 0.5862227925 0.1137772075 +85 0 1.26443463226417 1.759623077 0.7000000000 0.1102027395 +85 5 1.22310504152092 1.713849205 0.8061980447 0.1061980447 +85 10 1.18630350589701 1.663968540 0.9052390584 0.1018340520 +85 15 1.15389768533348 1.610620866 0.9975899640 0.09716673521 +85 20 1.12574761532612 1.554299780 1.083733738 0.09223927875 +85 25 1.10171297954259 1.495366936 1.164147225 0.08708332297 +85 30 1.08165742525847 1.434065550 1.239282997 0.08172014665 +85 35 1.06546364610930 1.370543991 1.309561465 0.07616273031 +85 40 1.05303079440421 1.304862809 1.375360087 0.07041637152 +85 45 1.04427654383854 1.237006062 1.437006062 0.06447967539 + +90 -45 1.83841591652746 1.799956361 -0.5999563612 0.000000000 +90 -40 1.75934330281348 1.847735161 -0.4308840762 0.000000000 +90 -35 1.68303682654383 1.878663057 -0.2653502652 0.000000000 +90 -30 1.61011535158588 1.894400797 -0.1050576758 0.000000000 +90 -25 1.54107212954110 1.896685671 0.04871477540 0.000000000 +90 -20 1.47628191206830 1.887251219 0.1950818488 0.000000000 +90 -15 1.41601397315473 1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044913038 1.839752606 0.4637654681 0.000000000 +90 -5 1.30956743389295 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137366046 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541956191 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822062414 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720149242 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041112298 1.556722326 1.084615473 0.000000000 +90 25 1.10054399700730 1.497431594 1.165109991 0.000000000 +90 30 1.08055683204505 1.435789667 1.240278416 0.000000000 +90 35 1.06445609492236 1.371951386 1.310546934 0.000000000 +90 40 1.05213486260285 1.305982065 1.376299253 0.000000000 +90 45 1.04350448190929 1.237869095 1.437869095 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 1.12189704039560 1.147727558 1.347727558 0.6477275583 +40 45 1.12778994906842 1.075481443 1.385832078 0.6858320777 +35 45 1.13596550376311 1.004042214 1.419846884 0.7198468837 +30 45 1.14613281769102 0.9331974864 1.450320056 0.7503200562 +25 45 1.15809056545716 0.8626509800 1.477707536 0.7777075364 +20 45 1.17171286540120 0.7920418968 1.502378517 0.8023785171 +15 45 1.18694050312308 0.7209570315 1.524622868 0.8246228678 +10 45 1.20377686850449 0.6489361256 1.544658742 0.8446587416 +5 45 1.22227985012402 0.5754706293 1.562633241 0.8626332408 +0 45 1.24255997492981 0.5000000000 1.578622584 0.8786225843 +-5 45 1.26478383191755 0.4219049289 1.592630747 0.8926307471 +-10 45 1.28917291777710 0.3404983310 1.604578916 0.9045789157 +-15 45 1.31600869138568 0.2550160492 1.614292552 0.9142925515 +-20 45 1.34564056946619 0.1646077414 1.621482657 0.9214826572 +-25 45 1.37848616838830 0.06833310377 1.625712646 0.9257126463 +-30 45 1.41504159414286 -0.03483545042 1.626362174 0.9263621738 +-35 45 1.45587650386383 -0.1459907580 1.622570413 0.9225704133 +-40 45 1.50163075569387 -0.2662425396 1.613172299 0.9131722994 +-45 45 1.55298541981000 -0.3966165502 1.596616550 0.8966165502 + +45 50 1.10251499122686 1.170461860 1.370461860 0.5625842996 +40 50 1.10627364029786 1.098180082 1.412883262 0.5981800823 +35 50 1.11270501239992 1.025957955 1.451145805 0.6302861680 +30 50 1.12153860962661 0.9536418958 1.485730812 0.6593064345 +25 50 1.13257859242308 0.8809931752 1.517042501 0.6855800611 +20 50 1.14569710128388 0.8077037745 1.545409172 0.7093825247 +15 50 1.16082841849416 0.7334065662 1.571085164 0.7309272396 +10 50 1.17796797496586 0.6576812535 1.594254826 0.7503688948 +5 50 1.19716641105365 0.5800547479 1.615029956 0.7678012982 +0 50 1.21852768521412 0.5000000000 1.633446362 0.7832544981 +-5 50 1.24221276717620 0.4169329936 1.649460228 0.7966917268 +-10 50 1.26843623040492 0.3302087841 1.662933836 0.8079974265 +-15 50 1.29747019530504 0.2391190135 1.673621096 0.8169651029 +-20 50 1.32964775140479 0.1428919726 1.681146242 0.8232794495 +-25 50 1.36535813673596 0.04070107340 1.684969727 0.8264877344 +-30 50 1.40505188581445 -0.06831784091 1.684355375 0.8259722324 +-35 50 1.44922364794707 -0.1850249597 1.678317031 0.8209054597 +-40 50 1.49840308882383 -0.3102108288 1.665571666 0.8102108288 +-45 50 1.55311024116213 -0.4444780248 1.644478025 0.7925111623 + +45 55 1.08679421182517 1.188687662 1.388687662 0.4822242922 +40 55 1.08856948355300 1.116614719 1.434852806 0.5145494746 +35 55 1.09331599613787 1.043971515 1.476871835 0.5439715153 +30 55 1.10080027970703 0.9706307099 1.515156301 0.5707785869 +25 55 1.11084955356342 0.8963854941 1.550051435 0.5952124228 +20 55 1.12334985312226 0.8209616135 1.581834786 0.6174673643 +15 55 1.13824259561596 0.7440251713 1.610714338 0.6376890444 +10 55 1.15552544343369 0.6651882587 1.636829169 0.6559748459 +5 55 1.17524924090103 0.5840105538 1.660245024 0.6723708044 +0 55 1.19751476485100 0.5000000000 1.680946668 0.6868662513 +-5 55 1.22247742170514 0.4126134256 1.698833116 0.6993904772 +-10 55 1.25034177770000 0.3212572624 1.713700438 0.7098006881 +-15 55 1.28136404488768 0.2252913555 1.725226619 0.7178714067 +-20 55 1.31585097279446 0.1240372933 1.732949047 0.7232787095 +-25 55 1.35415179033449 0.01679673928 1.736232737 0.7255779735 +-30 55 1.39665676410229 -0.09711972874 1.734241708 0.7241838405 +-35 55 1.44377401817959 -0.2183393851 1.725894961 0.7183393851 +-40 55 1.49591241364023 -0.3473520766 1.709834881 0.7070939964 +-45 55 1.55343760884323 -0.4843936440 1.684393644 0.6892798501 + +45 60 1.07415598944388 1.203200161 1.403200161 0.4059928025 +40 60 1.07416030161469 1.131454675 1.452538378 0.4344782350 +35 60 1.07735538964817 1.058622121 1.497795068 0.4606071975 +30 60 1.08355375448242 0.9845799705 1.539317129 0.4845799705 +25 60 1.09261635279175 0.9091341069 1.577390924 0.5065618859 +20 60 1.10445374626755 0.8320281508 1.612239847 0.5266819213 +15 60 1.11902429662413 0.7529494268 1.644020113 0.5450302661 +10 60 1.13633657533750 0.6715343085 1.672819405 0.5616575455 +5 60 1.15644719812480 0.5873705782 1.698650278 0.5765710069 +0 60 1.17945739322817 0.5000000000 1.721440065 0.5897286966 +-5 60 1.20551798873467 0.4089220815 1.741025372 0.6010362788 +-10 60 1.23482168274221 0.3135989917 1.757132650 0.6103358199 +-15 60 1.26760465104883 0.2134647828 1.769363989 0.6173975868 +-20 60 1.30414059912926 0.1079406738 1.777174146 0.6219067830 +-25 60 1.34473142101945 -0.003539497180 1.779843936 0.6234481874 +-30 60 1.38969865435959 -0.1214921319 1.776455949 0.6214921319 +-35 60 1.43936048815688 -0.2463262507 1.765864347 0.6153770678 +-40 60 1.49400602542152 -0.3782647135 1.746675128 0.6042981667 +-45 60 1.55386091690885 -0.5172407530 1.717240753 0.5873042226 + +45 65 1.06413825974249 1.214614529 1.414614529 0.3332302277 +40 65 1.06262136175184 1.143233082 1.466575336 0.3574599497 +35 65 1.06445040745060 1.070350957 1.514545582 0.3798288430 +30 65 1.06948532537084 0.9958378135 1.558816285 0.4004726108 +25 65 1.07762536281046 0.9194997477 1.599620112 0.4194997477 +20 65 1.08881141493885 0.8410868481 1.637128413 0.4369901558 +15 65 1.10302568073690 0.7602982556 1.671446315 0.4529928561 +10 65 1.12029286515946 0.6767869275 1.702608488 0.4675240161 +5 65 1.14067988684543 0.5901634063 1.730572450 0.4805638256 +0 65 1.16429142108527 0.5000000000 1.755206381 0.4920508165 +-5 65 1.19127489602894 0.4058373837 1.776283629 0.5018792984 +-10 65 1.22181041820852 0.3071931755 1.793461839 0.5098896292 +-15 65 1.25611179415827 0.2035756152 1.806270865 0.5158625762 +-20 65 1.29441632521141 0.09450426540 1.814090374 0.5195088735 +-25 65 1.33697574851648 -0.02046008613 1.816130257 0.5204600861 +-30 65 1.38404090262807 -0.1416729605 1.811410169 0.5182590734 +-35 65 1.43584333882893 -0.2693497195 1.798745268 0.5123533330 +-40 65 1.49256251272121 -0.4034879394 1.776734998 0.5020897752 +-45 65 1.55430237705341 -0.5437807790 1.743780779 0.4867229707 + +45 70 1.05637922189256 1.223399067 1.423399067 0.2632957279 +40 70 1.05360936093441 1.152364458 1.477457687 0.2829714563 +35 70 1.05429181874325 1.079508502 1.527623912 0.3012304691 +30 70 1.05832991311725 1.004686805 1.574143187 0.3181621007 +25 70 1.06565969159946 0.9276983032 1.617201971 0.3338342163 +20 70 1.07625397422341 0.8482925510 1.656925919 0.3482925510 +15 70 1.09012039060274 0.7661734804 1.693372952 0.3615581862 +10 70 1.10730247760602 0.6810046025 1.726528112 0.3736256773 +5 70 1.12787993709393 0.5924139927 1.756296770 0.3844605829 +0 70 1.15196291524218 0.5000000000 1.782491051 0.3939945214 +-5 70 1.17969675138739 0.4033403438 1.804824926 0.4021233872 +-10 70 1.21124955552263 0.3020037444 1.822892565 0.4086994698 +-15 70 1.24681262554721 0.1955671513 1.836158859 0.4135280060 +-20 70 1.28658727772532 0.08364031561 1.843938831 0.4163596844 +-25 70 1.33077693294983 -0.03410205964 1.845385563 0.4168862517 +-30 70 1.37956644840151 -0.1578751804 1.839473237 0.4147343412 +-35 70 1.43310917446281 -0.2877315712 1.824997273 0.4094655211 +-40 70 1.49149040269904 -0.4234877406 1.800569833 0.4005746598 +-45 70 1.55471282180452 -0.5646534704 1.764653470 0.3875021730 + +45 75 1.05060556981927 1.229904638 1.429904638 0.1955773582 +40 75 1.04685899463977 1.159165250 1.485562555 0.2104908523 +35 75 1.04663446414285 1.086366504 1.537418154 0.2243855180 +30 75 1.04987145237880 1.011348787 1.585682080 0.2373177981 +25 75 1.05653824091630 0.9339012987 1.630504338 0.2493278859 +20 75 1.06663656020444 0.8537693482 1.671973296 0.2604394597 +15 75 1.08019783322019 0.7706574013 1.710107173 0.2706574013 +10 75 1.09728396000883 0.6842349841 1.744848516 0.2799663161 +5 75 1.11798759107288 0.5941428392 1.776057576 0.2883287585 +0 75 1.14242504363102 0.5000000000 1.803497854 0.2956813589 +-5 75 1.17074039062315 0.4014149842 1.826831887 0.3019336941 +-10 75 1.20309064684452 0.2979999760 1.845599063 0.3069623439 +-15 75 1.23964730698047 0.1893904910 1.859210469 0.3106095090 +-20 75 1.28057974539896 0.07527251671 1.866929170 0.3126777287 +-25 75 1.32604887106575 -0.04458447883 1.867865184 0.3129285328 +-30 75 1.37618319943826 -0.1702816889 1.860961940 0.3110788144 +-35 75 1.43107073606013 -0.3017430851 1.845007789 0.3068039123 +-40 75 1.49072128488104 -0.4386475869 1.818636634 0.2997377827 +-45 75 1.55505822251758 -0.5803713983 1.780371398 0.2894846437 + +45 80 1.04661730449286 1.234383986 1.434383986 0.1294917110 +40 80 1.04217356134525 1.163867474 1.491166447 0.1395039908 +35 80 1.04129450756741 1.091127619 1.544217731 0.1488583635 +30 80 1.04394664288103 1.015991936 1.593724249 0.1575876984 +25 80 1.05012304419804 0.9382405336 1.639809857 0.1657138346 +20 80 1.05984822912246 0.8576136787 1.682535507 0.1732475194 +15 80 1.07317284544459 0.7738144901 1.721889589 0.1801867059 +10 80 1.09017401218600 0.6865155494 1.757782244 0.1865155494 +5 80 1.11095541644268 0.5953660603 1.790039057 0.1922032957 +0 80 1.13563908962694 0.5000000000 1.818386180 0.1972016584 +-5 80 1.16436800729462 0.4000489237 1.842446029 0.2014440590 +-10 80 1.19729096362507 0.2951580396 1.861716486 0.2048419604 +-15 80 1.23456374905482 0.1850074572 1.875568174 0.2072843867 +-20 80 1.27633067845670 0.06934087675 1.883226217 0.2086347063 +-25 80 1.32271954543495 -0.05200133225 1.883770677 0.2087307094 +-30 80 1.37381595321955 -0.1790365750 1.876125848 0.2073827197 +-35 80 1.42965888593218 -0.3115963804 1.859079753 0.2043770332 +-40 80 1.49020334068844 -0.4492636961 1.831288420 0.1994766714 +-45 80 1.55531664790768 -0.5913250097 1.791325010 0.1924300439 + +45 85 1.04427654486177 1.237006063 1.437006063 0.06447967546 +40 85 1.03941501158420 1.166627620 1.494455861 0.06950588151 +35 85 1.03814102482279 1.093929944 1.548219866 0.07420962244 +30 85 1.04043768169447 1.018732029 1.598470230 0.07860595965 +25 85 1.04631359144500 0.9408076867 1.645315135 0.08270435776 +20 85 1.05580777710740 0.8598933362 1.688798815 0.08650868679 +15 85 1.06898331779491 0.7756905670 1.728891203 0.09001631627 +10 85 1.08592732036533 0.6878732547 1.765482174 0.09321761138 +5 85 1.10675082737738 0.5960954046 1.798375501 0.09609540460 +0 85 1.13157982152233 0.5000000000 1.827273819 0.09862367982 +-5 85 1.16055646467273 0.3992328352 1.851773964 0.1007671648 +-10 85 1.19382441369199 0.2934597704 1.871347849 0.1024796579 +-15 85 1.23152951209234 0.1823888046 1.885341118 0.1037039103 +-20 85 1.27380014900484 0.06579957523 1.892955863 0.1043701141 +-25 85 1.32074312712485 -0.05642374085 1.893254563 0.1043962470 +-30 85 1.37241723496840 -0.1842473987 1.885151260 0.1036872998 +-35 85 1.42883110428952 -0.3174473002 1.867435732 0.1021373920 +-40 85 1.48990649327818 -0.4555498126 1.838779922 0.09963033343 +-45 85 1.55547718309292 -0.5977897764 1.797789776 0.09604416037 + +45 90 1.04350448256129 1.237869096 1.437869096 0.000000000 +40 90 1.03850370977423 1.167537317 1.495539996 0.000000000 +35 90 1.03709763944310 1.094854768 1.549540651 0.000000000 +30 90 1.03927496124074 1.019637481 1.600038518 0.000000000 +25 90 1.04504956846454 0.9416570321 1.647136562 0.000000000 +20 90 1.05446545611594 0.8606484264 1.690873408 0.000000000 +15 90 1.06758999850668 0.7763126240 1.731212751 0.000000000 +10 90 1.08451378059875 0.6883238417 1.768037579 0.000000000 +5 90 1.10535043407914 0.5963376381 1.801144242 0.000000000 +0 90 1.13022731903386 0.5000000000 1.830227319 0.000000000 +-5 90 1.15928635973912 0.3989615363 1.854874925 0.000000000 +-10 90 1.19266946402536 0.2928951210 1.874550135 0.000000000 +-15 90 1.23051905145768 0.1815182341 1.888590132 0.000000000 +-20 90 1.27295805128550 0.06462270485 1.896189287 0.000000000 +-25 90 1.32008608451948 -0.05789248639 1.896404298 0.000000000 +-30 90 1.37195282732543 -0.1859764137 1.888146001 0.000000000 +-35 90 1.42855664650790 -0.3193864304 1.870205097 0.000000000 +-40 90 1.48980818135022 -0.4576302398 1.841259279 0.000000000 +-45 90 1.55553009340625 -0.5999258774 1.799925877 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 1.55553008234691 -0.5999258696 1.799925870 1.347020695e-16 +-90 40 1.62544300725022 -0.7451615833 1.744814625 1.524883147e-16 +-90 35 1.69913630161122 -0.8918509750 1.674584545 1.704525841e-16 +-90 30 1.77608891252224 -1.038138118 1.588044456 1.883675922e-16 +-90 25 1.85566176839854 -1.181800711 1.484236551 2.059611857e-16 +-90 20 1.93708773366103 -1.320267049 1.362523024 2.229184215e-16 +-90 15 2.01952559285373 -1.450711927 1.222691686 2.388933117e-16 +-90 10 2.10204061116701 -1.570105891 1.065015522 2.535148553e-16 +-90 5 2.18364822074016 -1.675338780 0.8903174826 2.664021674e-16 +-90 -2.84217e-14 2.26333679983389 -1.763336800 0.7000000000 2.771788167e-16 +-90 -5 2.34009224581013 -1.831187488 0.4960475222 2.854881296e-16 +-90 -10 2.41291194319933 -1.876254389 0.2810022382 2.910072331e-16 +-90 -15 2.48082474822425 -1.896292695 0.05791530760 2.934612179e-16 +-90 -20 2.54292425162248 -1.889567154 -0.1697313170 2.926375767e-16 +-90 -25 2.59838186729393 -1.854933720 -0.3981236281 2.883962042e-16 +-90 -30 2.64645930627487 -1.791900989 -0.6232296531 2.806769211e-16 +-90 -35 2.68651039111499 -1.700660479 -0.8409190564 2.695031811e-16 +-90 -40 2.71799550041860 -1.582105350 -1.047093831 2.549843652e-16 +-90 -45 2.74049346535808 -1.437821513 -1.237821513 2.373146913e-16 + +-85 45 1.55547716637392 -0.5977897646 1.797789765 0.09604415934 +-85 40 1.62520129497981 -0.7421897699 1.742320978 0.1086775228 +-85 35 1.69863379901459 -0.8878797761 1.671803881 0.1214237467 +-85 30 1.77525329527251 -1.033020444 1.585089766 0.1341219098 +-85 25 1.85442518886079 -1.175421415 1.481261836 0.1465803804 +-85 20 1.93539491048591 -1.312561183 1.359718318 0.1585785554 +-85 15 2.01733877850384 -1.441678685 1.220271236 0.1698748732 +-85 10 2.09934332308925 -1.559818226 1.063201529 0.1802107437 +-85 5 2.18045230954835 -1.663951757 0.8893212471 0.1893212471 +-85 -2.84217e-14 2.25968086036603 -1.751082092 0.7000000000 0.1969441638 +-85 -5 2.33604222743592 -1.818364249 0.4971694103 0.2028305897 +-85 -10 2.40855963191597 -1.863212808 0.2833018208 0.2067543302 +-85 -15 2.47628169451084 -1.883408992 0.06136748537 0.2085212673 +-85 -20 2.53831462256118 -1.877215384 -0.1652356401 0.2079793968 +-85 -25 2.59383478774390 -1.843457356 -0.3927721115 0.2050259521 +-85 -30 2.64210061535670 -1.781586672 -0.6172746794 0.1996129687 +-85 -35 2.68245663130689 -1.691718610 -0.8346578924 0.1917505320 +-85 -40 2.71434368246127 -1.574653746 -1.040841193 0.1815086835 +-85 -45 2.73731594683897 -1.431881415 -1.231881415 0.1690177231 + +-80 45 1.55531660614137 -0.5913249804 1.791324980 0.1924300388 +-80 40 1.62447199290048 -0.7332185174 1.734793203 0.2174496977 +-80 35 1.69712230383178 -0.8759226904 1.663431440 0.2426122937 +-80 30 1.77274642267434 -1.017650807 1.576216102 0.2676027845 +-80 25 1.85072409961715 -1.156309479 1.472349794 0.2920520495 +-80 20 1.93033930582798 -1.289526893 1.351334523 0.3155418740 +-80 15 2.01081929854032 -1.414729128 1.213050124 0.3376184060 +-80 10 2.09131395984590 -1.529175847 1.057798450 0.3577984504 +-80 5 2.17094754703794 -1.630074332 0.8863573565 0.3755895756 +-80 -2.84217e-14 2.24881331767575 -1.714648790 0.7000000000 0.3905023345 +-80 -5 2.32400322586889 -1.780248376 0.5005041171 0.4020693114 +-80 -10 2.39561298466348 -1.824433394 0.2901396777 0.4098603223 +-80 -15 2.46275243942414 -1.845065931 0.07164147751 0.4134983952 +-80 -20 2.52456664606595 -1.840407147 -0.1518385374 0.4126769258 +-80 -25 2.58024888659399 -1.809199242 -0.3767972907 0.4071741302 +-80 -30 2.62905052844383 -1.750734005 -0.5994618837 0.3968651315 +-80 -35 2.67028782189673 -1.664905614 -0.8158832308 0.3817312705 +-80 -40 2.70335109625893 -1.552249990 -1.022042210 0.3618670444 +-80 -45 2.72772407517338 -1.413972635 -1.213972635 0.3374850159 + +-75 45 1.55505815620182 -0.5803713522 1.780371352 0.2894846314 +-75 40 1.62326277566639 -0.7180957135 1.722103664 0.3263877627 +-75 35 1.69461395351527 -0.8558702075 1.649390540 0.3633043271 +-75 30 1.76859457262703 -0.9920041080 1.561408973 0.3997812958 +-75 25 1.84461156730716 -1.124568803 1.457548874 0.4353018987 +-75 20 1.92201372888069 -1.251436326 1.337470690 0.4692959493 +-75 15 2.00010756602549 -1.370326839 1.201152566 0.5011525662 +-75 10 2.07815102026060 -1.478843297 1.048923464 0.5302294635 +-75 5 2.15538521612089 -1.574547705 0.8814994061 0.5558733821 +-75 -2.84217e-14 2.23103100797518 -1.655010470 0.7000000000 0.5774333151 +-75 -5 2.30430021982458 -1.717877666 0.5059608472 0.5942785294 +-75 -10 2.37440006644985 -1.760935616 0.3013360493 0.6058158724 +-75 -15 2.44053738083843 -1.782178541 0.08849210306 0.6115078969 +-75 -20 2.50192600158346 -1.779881782 -0.1298091063 0.6108924823 +-75 -25 2.55779393942450 -1.752676017 -0.3504400779 0.6036027195 +-75 -30 2.60738964602922 -1.699620039 -0.5699512217 0.5893864131 +-75 -35 2.64999165362529 -1.620273308 -0.7846313535 0.5681255207 +-75 -40 2.68492226150852 -1.514764551 -0.9905881919 0.5398545345 +-75 -45 2.71155882217566 -1.383846247 -1.183846247 0.5047750805 + +-70 45 1.55471267543741 -0.5646533702 1.764653370 0.3875021366 +-70 40 1.62157784920664 -0.6965612777 1.704034127 0.4355126886 +-70 35 1.69112190796492 -0.8275384521 1.629552431 0.4831844814 +-70 30 1.76284007314196 -0.9560437357 1.540647243 0.5299565796 +-70 25 1.83618154298888 -1.080381940 1.436944201 0.5752119848 +-70 20 1.91058035804281 -1.198747609 1.318293565 0.6182935652 +-70 15 1.98544702698622 -1.309239963 1.184784387 0.6585094931 +-70 10 2.06018566934075 -1.409901357 1.036767140 0.6951472444 +-70 5 2.13417878777658 -1.498728842 0.8748661151 0.7274778048 +-70 -2.84217e-14 2.20681198897984 -1.573724942 0.7000000000 0.7547741528 +-70 -5 2.27745035177098 -1.632907388 0.5133947832 0.7763148017 +-70 -10 2.34544257808923 -1.674349637 0.3166034934 0.7913985469 +-70 -15 2.41012038570267 -1.696223852 0.1115235926 0.7993601098 +-70 -20 2.47079372876402 -1.696848157 -0.09958733847 0.7995873385 +-70 -25 2.52675035928821 -1.674747181 -0.3141012650 0.7915432409 +-70 -30 2.57725664304434 -1.628723103 -0.5290188565 0.7747918465 +-70 -35 2.62156350122822 -1.557939369 -0.7409846595 0.7490286743 +-70 -40 2.65891680690734 -1.462013044 -0.9463244215 0.7141143472 +-70 -45 2.68857154563151 -1.341109809 -1.141109809 0.6701091685 + +-65 45 1.55430219748294 -0.5437806584 1.743780658 0.4867229144 +-65 40 1.61943598631180 -0.6682615556 1.680287840 0.5447693101 +-65 35 1.68667580131761 -0.7906888976 1.603750096 0.6018581172 +-65 30 1.75554226832544 -0.9097325637 1.513909475 0.6573690904 +-65 25 1.82555530457800 -1.024004839 1.410655128 0.7106551275 +-65 20 1.89624997972219 -1.132082205 1.294029342 0.7610524309 +-65 15 1.96716542989474 -1.232503278 1.164222854 0.8078795464 +-65 10 2.03785730489674 -1.323784740 1.021582457 0.8504447909 +-65 5 2.10788192137538 -1.404412500 0.8666145044 0.8880421332 +-65 -2.84217e-14 2.17679452323038 -1.472845827 0.7000000000 0.9199531176 +-65 -5 2.24414008243877 -1.527517947 0.5226151646 0.9454471456 +-65 -10 2.30943103937541 -1.566830232 0.3355620655 0.9637787654 +-65 -15 2.37214533234919 -1.589173336 0.1402076917 0.9741975260 +-65 -20 2.43171568388838 -1.592951846 -0.06177217358 0.9759594738 +-65 -25 2.48752035218660 -1.576624600 -0.2683459541 0.9683459541 +-65 -30 2.53887523222370 -1.538763267 -0.4770805209 0.9506909245 +-65 -35 2.58502948295627 -1.478132876 -0.6851035513 0.9224185089 +-65 -40 2.62516952193629 -1.393797998 -0.8890852020 0.8830925097 +-65 -45 2.65843312847634 -1.285251984 -1.085251984 0.8324766717 + +-60 45 1.55386051439497 -0.5172404895 1.717240490 0.5873040705 +-60 40 1.61686103022473 -0.6327452476 1.650486119 0.6539907736 +-60 35 1.68131710144238 -0.7450362294 1.571783753 0.7188220022 +-60 30 1.74679375208630 -0.8530606222 1.481189914 0.7811899145 +-60 25 1.81290038167904 -0.9557921782 1.378847041 0.8405020060 +-60 20 1.87928904302230 -1.052226478 1.264964235 0.8961783752 +-60 15 1.94564851771118 -1.141368591 1.139803388 0.9476445977 +-60 10 2.01169112192966 -1.222211714 1.003672392 0.9943193965 +-60 5 2.07714096283637 -1.293715618 0.8569297821 1.035602195 +-60 -2.84217e-14 2.14173672792809 -1.354798415 0.7000000000 1.070868364 +-60 -5 2.20519723931879 -1.404298649 0.5333954563 1.099447337 +-60 -10 2.26720745374150 -1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126911586 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946643557 -1.470247581 -0.01711147364 1.137522971 +-60 -25 2.44064240967103 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310587622 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249628270 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239853864 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350590946 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725745533 -0.4843934214 1.684393421 0.6892796942 +-55 40 1.61389995959196 -0.5894838893 1.614185530 0.7628648320 +-55 35 1.67510941879292 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902431338 -0.7860546374 1.442503991 0.9005051516 +-55 25 1.79841775362962 -0.8761967925 1.341731103 0.9636233682 +-55 20 1.86001874495922 -0.9601232436 1.231441399 1.022389302 +-55 15 1.92134162893325 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249312929 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852077761 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807407385 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860204118 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641938940 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170059947 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915036976 -1.331132429 0.03352230087 1.282172730 +-55 -25 2.38677985067163 -1.326427018 -0.1516769056 1.278877966 +-55 -30 2.43878789212030 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443153846 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109420903 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652033865 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969452709 -0.4444776924 1.644477692 0.7925108834 +-50 40 1.61061861053230 -0.5378834018 1.570887580 0.8708875797 +-50 35 1.66814588719483 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208298734 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836441382 -0.7857865890 1.299572133 1.078903053 +-50 20 1.83878708845344 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123462801 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266972108 -0.9804894903 0.9610502418 1.242278185 +-50 5 2.00520397575348 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937762960 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260967233 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045461789 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441045117 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424805697 -1.178259331 0.08916355816 1.408226786 +-50 -25 2.32670150511489 -1.178483091 -0.08268951938 1.408414543 +-50 -30 2.37807195260849 -1.166036630 -0.2618866971 1.397970722 +-50 -35 2.42803828184200 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636347039 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722387154 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517038956 -0.3966164062 1.596616406 0.8966164062 +-45 40 1.60711896535176 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515592302 -0.5522726705 1.436809256 1.052272670 +-45 30 1.71317762139666 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024610567 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247474289 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499787592 -0.7966159818 1.047427205 1.296615982 +-45 10 1.91610180092297 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254776872 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297835922 -0.9245677117 0.7000000000 1.424567712 +-45 -5 2.06370466335307 -0.9564751612 0.5725749347 1.456475161 +-45 -10 2.11281191532985 -0.9825048565 0.4385943948 1.482504857 +-45 -15 2.16207745626195 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667237392 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854824491 -1.018545631 -0.008109457188 1.518545631 +-45 -30 2.31111866834696 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316597073 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274139896 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434771785 -0.9191410188 -0.7191410188 1.419141019 + + +### -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 2.74049348569869 -1.437821528 -1.237821528 2.373146931e-16 +-40 -90 2.75369735828879 -1.270042543 -1.409454559 2.583336774e-16 +-35 -90 2.75742263616247 -1.081592649 -1.558748389 2.766168985e-16 +-30 -90 2.75163945631226 -0.8758197282 -1.682989671 2.918320673e-16 +-25 -90 2.73642590243860 -0.6564635583 -1.780044104 3.037178074e-16 +-20 -90 2.71199155420872 -0.4275557401 -1.848438451 3.120936992e-16 +-15 -90 2.67865610727481 -0.1932872158 -1.887383114 3.168630448e-16 +-10 -90 2.63685560557391 0.04211482932 -1.896795844 3.180157718e-16 +-5 -90 2.58714818347613 0.2745151785 -1.877303304 3.156286241e-16 +-2.84217e-14 -90 2.53020146046400 0.5000000000 -1.830201460 3.098603120e-16 +5 -90 2.46677943491183 0.7149939938 -1.757392594 3.009437975e-16 +10 -90 2.39773281675383 0.9163619342 -1.661305868 2.891765673e-16 +15 -90 2.32398204898895 1.101490815 -1.544794281 2.749080131e-16 +20 -90 2.24650574925929 1.268350218 -1.411024875 2.585259856e-16 +25 -90 2.16631532602256 1.415524417 -1.263348449 2.404408394e-16 +30 -90 2.08441421630099 1.542207108 -1.105155663 2.210678105e-16 +35 -90 2.00182501877857 1.648199660 -0.9397990564 2.008174666e-16 +40 -90 1.91952087127143 1.733844233 -0.7704382969 1.800767554e-16 +45 -90 1.83841591424573 1.799956360 -0.5999563596 1.591987395e-16 + +-45 -85 2.73731597733098 -1.431881436 -1.231881436 0.1690177250 +-40 -85 2.74992493289933 -1.263661187 -1.401849556 0.1838880086 +-35 -85 2.75309611700248 -1.075071386 -1.549435061 0.1968000671 +-30 -85 2.74683125851853 -0.8694903383 -1.672026846 0.2075254586 +-25 -85 2.73123383654068 -0.6506577753 -1.767593562 0.2158864629 +-20 -85 2.70653359826849 -0.4225764646 -1.834758004 0.2217625901 +-15 -85 2.67306687107810 -0.1893833692 -1.872813760 0.2250920373 +-10 -85 2.63127674558421 0.04477015464 -1.881736746 0.2258726975 +-5 -85 2.58171972437504 0.2758380700 -1.862182584 0.2241619300 +-2.84217e-14 -85 2.52505354810758 0.5000000000 -1.815444957 0.2200729175 +5 -85 2.46202517110839 0.7137692596 -1.743393818 0.2137692596 +10 -85 2.39346101577440 0.9140860097 -1.648398459 0.2054582426 +15 -85 2.32025533501256 1.098393350 -1.533234386 0.1953826918 +20 -85 2.24335580598378 1.264692989 -1.400976721 0.1838116454 +25 -85 2.16374383381485 1.411576531 -1.254882179 0.1710300292 +30 -85 2.08239538022674 1.538221895 -1.098253071 0.1573267579 +35 -85 2.00031080191456 1.644396045 -0.9343669304 0.1429885785 +40 -85 1.91844580653416 1.730393007 -0.7663252868 0.1282868396 +45 -85 1.83770431541572 1.796973708 -0.5969737078 0.1134704963 + +-45 -80 2.72772412019995 -1.413972667 -1.213972667 0.3374850214 +-40 -80 2.73856844403881 -1.244475759 -1.378985252 0.3665811925 +-35 -80 2.74010997635715 -1.055520244 -1.521513136 0.3917127038 +-30 -80 2.73243366510932 -0.8505611091 -1.639240460 0.4124712074 +-25 -80 2.71571872725333 -0.6333319755 -1.730438265 0.4285518410 +-20 -80 2.69025449102161 -0.4077448815 -1.794008564 0.4397610000 +-15 -80 2.65642033673210 -0.1777718829 -1.829479103 0.4460154130 +-10 -80 2.61467913718291 0.05266011635 -1.836990549 0.4473398837 +-5 -80 2.56558067063162 0.2797667510 -1.817277555 0.4438639508 +-2.84217e-14 -80 2.50975284401440 0.5000000000 -1.771624059 0.4358140078 +5 -80 2.44789091388350 0.7101305857 -1.701803585 0.4235027745 +10 -80 2.38075283891888 0.9073179316 -1.610014780 0.4073179316 +15 -80 2.30915523209552 1.089168991 -1.498808609 0.3877092831 +20 -80 2.23395699199476 1.253781113 -1.370996588 0.3651725753 +25 -80 2.15605312633612 1.399770630 -1.229564342 0.3402342545 +30 -80 2.07634284068998 1.526274828 -1.077560145 0.3134318133 +35 -80 1.99575913657373 1.632963190 -0.9180391209 0.2853039529 +40 -80 1.91520523319857 1.719991090 -0.7539287648 0.2563668693 +45 -80 1.83555295063525 1.787959493 -0.5879594932 0.2271020087 + +-45 -75 2.71155886181186 -1.383846274 -1.183846274 0.5047750879 +-40 -75 2.71953065949953 -1.212379716 -1.340734679 0.5468132092 +-35 -75 2.71845278790411 -1.022986020 -1.475049449 0.5828027433 +-30 -75 2.70853490766991 -0.8192148785 -1.584947196 0.6122497558 +-25 -75 2.69007414582605 -0.6047651853 -1.669176585 0.6348189528 +-20 -75 2.66344674877886 -0.3833803897 -1.727067673 0.6503308231 +-15 -75 2.62908882902704 -0.1587518771 -1.758495475 0.6587518771 +-10 -75 2.58748694564729 0.06555856667 -1.763839803 0.6601838854 +-5 -75 2.53917473697054 0.2861826725 -1.743943237 0.6548526167 +-2.84217e-14 -75 2.48472799344823 0.5000000000 -1.700062940 0.6430949266 +5 -75 2.42476157892201 0.7041828919 -1.633821133 0.6253454879 +10 -75 2.35992961583198 0.8962343488 -1.547156658 0.6021238119 +15 -75 2.29092334106733 1.074020183 -1.442272488 0.5740201832 +20 -75 2.21847193074377 1.235796426 -1.321584066 0.5416818179 +25 -75 2.14333447597376 1.380229013 -1.187657209 0.5057962248 +30 -75 2.06629447219684 1.506406232 -1.043146727 0.4670747578 +35 -75 1.98817038660588 1.613852599 -0.8907463697 0.4262392051 +40 -75 1.90977863268197 1.702511243 -0.7330970938 0.3839972090 +45 -75 1.83193389633796 1.772729829 -0.5727298287 0.3410269298 + +-45 -70 2.68857157406168 -1.341109829 -1.141109829 0.6701091756 +-40 -70 2.69267071896334 -1.167223868 -1.286920034 0.7231797504 +-35 -70 2.68812156764977 -0.9775693741 -1.410187757 0.7680455321 +-30 -70 2.67529311631950 -0.7757696039 -1.509697773 0.8042642160 +-25 -70 2.65462477020475 -0.5654231541 -1.584807327 0.8316018582 +-20 -70 2.62658775562824 -0.3500047124 -1.635368754 0.8500047124 +-15 -70 2.59167288195327 -0.1328058780 -1.661663688 0.8595752858 +-10 -70 2.55037851758129 0.08310375056 -1.664336120 0.8605479715 +-5 -70 2.50320620825032 0.2948972469 -1.644335195 0.8532682303 +-2.84217e-14 -70 2.45066074337638 0.5000000000 -1.602867817 0.8381753387 +5 -70 2.39325364318898 0.6960936776 -1.541360991 0.8157886850 +10 -70 2.33150583923614 0.8811183451 -1.461429542 0.7866960166 +15 -70 2.26595757507893 1.053276335 -1.364855392 0.7515459007 +20 -70 2.19717899795257 1.211041349 -1.253570052 0.7110413495 +25 -70 2.12575784036532 1.353164503 -1.129617181 0.6659261941 +30 -70 2.05232649183729 1.478694910 -0.9951493092 0.6169838912 +35 -70 1.97755122793203 1.586992927 -0.8523867816 0.5650225806 +40 -70 1.90212866757267 1.677743083 -0.7035795506 0.5108611778 +45 -70 1.82679233005429 1.750971090 -0.5509710904 0.4553162408 + +-45 -65 2.65843331605726 -1.285252110 -1.085252110 0.8324767304 +-40 -65 2.65782096670392 -1.108849993 -1.217352759 0.8940762751 +-35 -65 2.64914190505812 -0.9194560970 -1.327193396 0.9452958049 +-30 -65 2.63295879323296 -0.7206998078 -1.414314088 0.9859208509 +-25 -65 2.60983677201972 -0.5159614882 -1.478736442 1.015961488 +-20 -65 2.58033444482761 -0.3083292762 -1.520866434 1.035607026 +-15 -65 2.54497635054270 -0.1005779522 -1.541387431 1.045176124 +-10 -65 2.50424873690777 0.1048190132 -1.541182746 1.045080678 +-5 -65 2.45860026640019 0.3056634668 -1.521276739 1.035798354 +-2.84217e-14 -65 2.40844614579647 0.5000000000 -1.482793497 1.017853324 +5 -65 2.35417605983081 0.6860824715 -1.426932382 0.9918048581 +10 -65 2.29616646619470 0.8623447290 -1.354959074 0.9582431535 +15 -65 2.23479981843129 1.027380735 -1.268211698 0.9177921877 +20 -65 2.17046302497896 1.179930778 -1.168094459 0.8711067522 +25 -65 2.10356129223646 1.318877749 -1.056089000 0.8188777489 +30 -65 2.03454509658382 1.443261556 -0.9337769399 0.7618426988 +35 -65 1.96391052364671 1.552297260 -0.8028362337 0.7007840447 +40 -65 1.89221157563820 1.645406188 -0.6650419391 0.6365295099 +45 -65 1.82006413233306 1.722251208 -0.5222512079 0.5699450984 + +-45 -60 2.62074369475390 -1.215679480 -1.015679480 0.9905480095 +-40 -60 2.61480227397210 -1.037134744 -1.131885854 1.057639791 +-35 -60 2.60160505314081 -0.8489644610 -1.226520906 1.112277364 +-30 -60 2.58188700702363 -0.6546549716 -1.299921076 1.154654972 +-25 -60 2.55632319709024 -0.4572243774 -1.352774302 1.185169796 +-20 -60 2.52551418193822 -0.2592366874 -1.385985655 1.204344379 +-15 -60 2.48998174751211 -0.06284698883 -1.400573559 1.212766710 +-10 -60 2.45017032323549 0.1301375128 -1.397594400 1.211046691 +-5 -60 2.40645149104620 0.3181905249 -1.378091810 1.199786866 +-2.84217e-14 -60 2.35913513034744 0.5000000000 -1.343070954 1.179567565 +5 -60 2.30848611373495 0.6744081068 -1.293493783 1.150944172 +10 -60 2.25473809916560 0.8403612530 -1.230284587 1.114450326 +15 -60 2.19810669292988 0.9968702017 -1.154344838 1.070606491 +20 -60 2.13880046036807 1.142980264 -1.066573758 1.019931835 +25 -60 2.07704308524783 1.277756223 -0.9679036024 0.9629645938 +30 -60 2.01310063816703 1.400285974 -0.8593410492 0.9002859745 +35 -60 1.94728522518918 1.509691521 -0.7419889337 0.8325326990 +40 -60 1.87998632800520 1.605166663 -0.6170863412 0.7604201536 +45 -60 1.81166760474388 1.686014848 -0.4860148475 0.6847459915 + +-45 -55 2.57505624633568 -1.131780374 -0.9317803737 1.142584918 +-40 -55 2.56346115715724 -0.9520597028 -1.030497368 1.211707302 +-35 -55 2.54567972527258 -0.7665846494 -1.108870342 1.266584649 +-30 -55 2.52256350582389 -0.5784843313 -1.167989657 1.307980439 +-25 -55 2.49483360850881 -0.3902338299 -1.209112609 1.336775040 +-20 -55 2.46308530975488 -0.2037485544 -1.233533262 1.353874566 +-15 -55 2.42779515458429 -0.02048933225 -1.242492633 1.360147984 +-10 -55 2.38933031686454 0.1584330385 -1.237122499 1.356387776 +-5 -55 2.34796397236905 0.3321600672 -1.218419211 1.343291593 +-2.84217e-14 -55 2.30389097111047 0.5000000000 -1.187236999 1.321457573 +5 -55 2.25724835406692 0.6613552919 -1.144299426 1.291392361 +10 -55 2.20813473637469 0.8156641286 -1.090220234 1.253525703 +15 -55 2.15661765916269 0.9623522224 -1.025521985 1.208223501 +20 -55 2.10274273202313 1.100792085 -0.9506626864 1.155806456 +25 -55 2.04657382716133 1.230280869 -0.8660923781 1.096589689 +30 -55 1.98819752107121 1.350024140 -0.7722849978 1.030905054 +35 -55 1.92774231689635 1.459134333 -0.6697857866 0.9591343335 +40 -55 1.86541713144943 1.556656169 -0.5592737855 0.8817529973 +45 -55 1.80152257644736 1.641601931 -0.4416019309 0.7993582777 + +-45 -50 2.52093743356166 -1.033033487 -0.8330334866 1.286367833 +-40 -50 2.50372619207255 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985757214 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203111656 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606238588 -0.3161757580 -1.050294561 1.468671521 +-20 -50 2.39413394907184 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272391492 0.02555109548 -1.070667417 1.485766377 +-10 -50 2.32300131937538 0.1890460796 -1.063507315 1.479758338 +-5 -50 2.28440233776109 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560933280 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136559967 0.6472188315 -0.9827189436 1.411968845 +10 -50 2.15731774599010 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756499684 0.9244822299 -0.8841892491 1.329292615 +20 -50 2.06291284279742 1.054043532 -0.8222220926 1.277295997 +25 -50 2.01259370928634 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684145409 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363553198 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477051632 1.499516481 -0.4911773569 0.9995164809 +45 -50 1.78955149909522 1.588262778 -0.3882627778 0.9131608954 + +-45 -45 2.45802394897380 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599300160 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213183760 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980572973 -0.4002168102 -0.8592212530 1.559221253 +-25 -45 2.35157187731394 -0.2363844171 -0.8791814786 1.579181479 +-20 -45 2.31982371359470 -0.07820114267 -0.8885945834 1.588594583 +-15 -45 2.28674430178198 0.07430702604 -0.8887078073 1.588707807 +-10 -45 2.25246258145465 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380447107 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233540689 0.5000000000 -0.8417772771 1.541777277 +5 -45 2.14252021320205 0.6322915933 -0.8120998311 1.512099831 +10 -45 2.10326115374259 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120013061 0.8839430137 -0.7328948345 1.432894835 +20 -45 2.01997829762305 1.003466601 -0.6832631175 1.383263118 +25 -45 1.97559534451709 1.118649015 -0.6266970945 1.326697095 +30 -45 1.92913094275267 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796733243 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874114558 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713999999 1.525204995 -0.3252049953 1.025204995 + + diff --git a/test/Kerr-selection-areal-radius-EE.par b/test/Kerr-selection-areal-radius-EE.par new file mode 100644 index 0000000..f2960c6 --- /dev/null +++ b/test/Kerr-selection-areal-radius-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_selection[1] = "areal radius" +AHFinderDirect::desired_value[1] = 2.0 diff --git a/test/Kerr-selection-areal-radius-EE/BH_diagnostics.ah1.gp b/test/Kerr-selection-areal-radius-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..cad94e1 --- /dev/null +++ b/test/Kerr-selection-areal-radius-EE/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 +0 0.000 0.000056 0.000022 0.000000 1.141191028 2.861466232 2.095378157 1.334766196 1.844408459e-06 0.000000000 1.334781058 0.000000000 1.215990078 -2.001007075 2.001391365 -2.001175430 2.001195280 -1.909389810 1.909389810 13.15340910 11.54386150 11.91516566 0.8776326666 0.9058614057 50.26548261 1.000000002 2.000000003 0.03200548735 -1.381680450 -0.04422135615 0.7068429684 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6822478832 0.7179372222 35.46850323 diff --git a/test/Kerr-selection-areal-radius-EE/h.t0.ah1.gp b/test/Kerr-selection-areal-radius-EE/h.t0.ah1.gp new file mode 100644 index 0000000..d4a3f43 --- /dev/null +++ b/test/Kerr-selection-areal-radius-EE/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 2.57114503482622 -0.9844512780 -0.7844512780 1.484451278 +-40 -45 2.54948390341693 -0.8009343432 -0.8503931773 1.550393177 +-35 -45 2.52443947719074 -0.6201256198 -0.8997051712 1.599705171 +-30 -45 2.49681021876495 -0.4437055585 -0.9345459748 1.634545975 +-25 -45 2.46716386434700 -0.2725815407 -0.9568064607 1.656806461 +-20 -45 2.43588588884648 -0.1071288935 -0.9680729256 1.668072926 +-15 -45 2.40321918375931 0.05262443614 -0.9696283344 1.669628334 +-10 -45 2.36929672750866 0.2068610601 -0.9624735404 1.662473540 +-5 -45 2.33416647639259 0.3558750576 -0.9473556296 1.647355630 +0 -45 2.29780507712782 0.5000000000 -0.9247935519 1.624793552 +5 -45 2.26013816297645 0.6395540060 -0.8951095880 1.595109588 +10 -45 2.22105257845831 0.7747975763 -0.8584544986 1.558454499 +15 -45 2.18039698195244 0.9058956985 -0.8148233694 1.514823369 +20 -45 2.13799532203714 1.032881585 -0.7640801230 1.464080123 +25 -45 2.09365794861450 1.155619802 -0.7059812021 1.405981202 +30 -45 2.04719051780873 1.273765285 -0.6402007871 1.340200787 +35 -45 1.99841529414187 1.386722059 -0.5663703405 1.266370341 +40 -45 1.94718360819703 1.493596400 -0.4841220794 1.184122079 +45 -45 1.89342299594215 1.593168276 -0.3931682764 1.093168276 + +-45 -40 2.52412651814181 -1.034972834 -0.5879951388 1.534972834 +-40 -40 2.50096720170663 -0.8523134893 -0.6523134893 1.611624459 +-35 -40 2.47427317044505 -0.6695495593 -0.7015396155 1.670289872 +-30 -40 2.44481908160151 -0.4888846924 -0.7372086148 1.712798530 +-25 -40 2.41318815446334 -0.3117831499 -0.7607672205 1.740874583 +-20 -40 2.37980154440900 -0.1391514101 -0.7735043198 1.756054067 +-15 -40 2.34494874928481 0.02850358703 -0.7765204651 1.759648569 +-10 -40 2.30881515877564 0.1909450206 -0.7707217138 1.752737886 +-5 -40 2.27150303380226 0.3481041557 -0.7568258532 1.736177444 +0 -40 2.23304659007945 0.5000000000 -0.7353746800 1.710612932 +5 -40 2.19343369244992 0.6466753324 -0.7067561711 1.676506721 +10 -40 2.15261903766352 0.7881467708 -0.6712243478 1.634161543 +15 -40 2.11052935613099 0.9243619487 -0.6289159464 1.583740353 +20 -40 2.06707766138402 1.055162091 -0.5798747318 1.525295310 +25 -40 2.02217487499395 1.180248445 -0.5240764426 1.458797498 +30 -40 1.97574075434372 1.299151071 -0.4614567532 1.384170258 +35 -40 1.92772928926790 1.411206963 -0.3919525779 1.301338408 +40 -40 1.87813540356380 1.515538244 -0.3155382442 1.210271351 +45 -40 1.82703016805275 1.611054321 -0.2322852710 1.111054321 + +-45 -35 2.47577883082994 -1.068869539 -0.3985342776 1.568869539 +-40 -35 2.45058166733714 -0.8881196825 -0.4583509628 1.654296619 +-35 -35 2.42184600728255 -0.7049720731 -0.5049720731 1.720878464 +-30 -35 2.39031587127030 -0.5219438314 -0.5394084017 1.770058638 +-25 -35 2.35657851992658 -0.3409001362 -0.5626955701 1.803316162 +-20 -35 2.32108146874277 -0.1631754580 -0.5758198641 1.822059596 +-15 -35 2.28415419946015 0.01030551660 -0.5796745741 1.827564692 +-10 -35 2.24603030508545 0.1789185065 -0.5750384612 1.820943637 +-5 -35 2.20686340275417 0.3422463847 -0.5625666708 1.803132074 +0 -35 2.16674554693324 0.5000000000 -0.5427941893 1.774894044 +5 -35 2.12572628021677 0.6519536757 -0.5161473833 1.736838461 +10 -35 2.08382622237108 0.7978935922 -0.4829575825 1.689438513 +15 -35 2.04104420655191 0.9375746999 -0.4434746289 1.633051012 +20 -35 1.99737127399243 1.070685531 -0.3978873347 1.567945609 +25 -35 1.95280494792960 1.196821232 -0.3463466998 1.494337954 +30 -35 1.90735269475277 1.315460142 -0.2889860095 1.412418398 +35 -35 1.86105947452578 1.425956765 -0.2259567646 1.322403308 +40 -35 1.81401212244590 1.527538060 -0.1574546674 1.224572174 +45 -35 1.76635607855623 1.619317369 -0.08375445923 1.119317369 + +-45 -30 2.42679460906388 -1.088709999 -0.2172421455 1.588709999 +-40 -30 2.39910878210375 -0.9103374092 -0.2703957106 1.680774674 +-35 -30 2.36799794053471 -0.7278362781 -0.3124021336 1.753531933 +-30 -30 2.33417795928721 -0.5438761177 -0.3438761177 1.808046473 +-25 -30 2.29823700075909 -0.3605830768 -0.3655151430 1.845526364 +-20 -30 2.26064430704576 -0.1796097632 -0.3780356270 1.867212478 +-15 -30 2.22176589140451 -0.002218236382 -0.3821299043 1.874303975 +-10 -30 2.18187932205448 0.1706370552 -0.3784383880 1.867910081 +-5 -30 2.14118648324970 0.3382315238 -0.3675334323 1.849022143 +0 -30 2.09983258477458 0.5000000000 -0.3499162924 1.818508362 +5 -30 2.05792350065153 0.6554778864 -0.3260209259 1.777120373 +10 -30 2.01553827292617 0.8042531336 -0.2962209294 1.725505265 +15 -30 1.97273514881506 0.9459261757 -0.2608373709 1.664219144 +20 -30 1.92956537018456 1.080078635 -0.2201536957 1.593752952 +25 -30 1.88608942448385 1.206252941 -0.1744341172 1.514564319 +30 -30 1.84237279030965 1.323934160 -0.1239341598 1.427095827 +35 -30 1.79851057118644 1.432550020 -0.06892631891 1.331819452 +40 -30 1.75463083404678 1.531475322 -0.009716144485 1.229264421 +45 -30 1.71090257664703 1.620048652 0.05333960925 1.120048652 + +-45 -25 2.37760387738703 -1.096663084 -0.04453622369 1.596663084 +-40 -25 2.34708789984959 -0.9207549716 -0.08954738983 1.693189842 +-35 -25 2.31335386969472 -0.7395350542 -0.1254762435 1.770239517 +-30 -25 2.27709694117565 -0.5557141287 -0.1526671058 1.828550509 +-25 -25 2.23890724946556 -0.3715654425 -0.1715654425 1.869078123 +-20 -25 2.19927491653499 -0.1889565440 -0.1826702910 1.892892548 +-15 -25 2.15859860528645 -0.009398340635 -0.1864977167 1.901100489 +-10 -25 2.11719472237769 0.1658977651 -0.1835541226 1.894787931 +-5 -25 2.07530887229787 0.3359601855 -0.1743192392 1.874983659 +0 -25 2.03313235163064 0.5000000000 -0.1592388603 1.842643682 +5 -25 1.99081721264890 0.6573612924 -0.1387232446 1.798647802 +10 -25 1.94848813970523 0.8074796263 -0.1131489798 1.743803615 +15 -25 1.90624612163357 0.9498467704 -0.08286107951 1.678851003 +20 -25 1.86418175292744 1.083983479 -0.04818197485 1.604481423 +25 -25 1.82239097738005 1.209423313 -0.009423313105 1.521363205 +30 -25 1.78096868839167 1.325697744 0.03310989553 1.430150444 +35 -25 1.74002611977571 1.432336120 0.07910483831 1.331513971 +40 -25 1.69969367044889 1.528869959 0.1282324488 1.226159471 +45 -25 1.66012522184591 1.614845363 0.1801390697 1.114845363 + +-45 -20 2.32844503924437 -1.094498390 0.1196500474 1.594498390 +-40 -20 2.29486970481274 -0.9209169799 0.08365902350 1.693382916 +-35 -20 2.25836166089438 -0.7413449102 0.05474473910 1.772824259 +-30 -20 2.21960340117771 -0.5584644108 0.03272822391 1.833314137 +-25 -20 2.17918993143003 -0.3746092616 0.01733538517 1.875605614 +-20 -20 2.13763020403701 -0.1917704321 0.008229567855 1.900623642 +-15 -20 2.09535075499375 -0.01161945766 0.005038943508 1.909389810 +-10 -20 2.05270071077513 0.1644563849 0.007378328111 1.902962404 +-5 -20 2.00996121620008 0.3353117783 0.01486425518 1.882394988 +0 -20 1.96735931072652 0.5000000000 0.02712348657 1.848713027 +5 -20 1.92508064551090 0.6577334456 0.04379750650 1.802901533 +10 -20 1.88327961242426 0.8078492865 0.06454434544 1.745900062 +15 -20 1.84208160101120 0.9497790107 0.08904024897 1.678598120 +20 -20 1.80159580318415 1.083024466 0.1169755344 1.601846554 +25 -20 1.76192918817632 1.207143312 0.1480487023 1.516473727 +30 -20 1.72317843363981 1.321733759 0.1819667634 1.423284620 +35 -20 1.68544771049284 1.426433517 0.2184367407 1.323084181 +40 -20 1.64884517949312 1.520917269 0.2571640316 1.216681824 +45 -20 1.61348753336923 1.604901869 0.2978486081 1.104901869 + +-45 -15 2.27942066234359 -1.083619734 0.2756703712 1.583619734 +-40 -15 2.24266345368928 -0.9121155043 0.2490699853 1.682893725 +-35 -15 2.20332944066235 -0.7343933103 0.2276333478 1.762896346 +-30 -15 2.16209457452500 -0.5530664838 0.2112701440 1.823964654 +-25 -15 2.11955999868448 -0.3704652614 0.1998142111 1.866718777 +-20 -15 2.07624932687047 -0.1886257216 0.1930445168 1.891983621 +-15 -15 2.03260956076841 -0.009296357255 0.1907036427 1.900719881 +-10 -15 1.98901360039061 0.1660427907 0.1925134873 1.893965450 +-5 -15 1.94576649303085 0.3361520436 0.1981872413 1.872790711 +0 -15 1.90311773744048 0.5000000000 0.2074368845 1.838270573 +5 -15 1.86127179277862 0.6567328765 0.2199784063 1.791464976 +10 -15 1.82039614970332 0.8056461845 0.2355353560 1.733405650 +15 -15 1.78062272748355 0.9461578290 0.2538421710 1.665083686 +20 -15 1.74206155979399 1.077786291 0.2746427712 1.587454789 +25 -15 1.70481129801796 1.200135412 0.2976889616 1.501445236 +30 -15 1.66895177552949 1.312877105 0.3227424228 1.407944446 +35 -15 1.63456244301817 1.415747281 0.3495699759 1.307822654 +40 -15 1.60171646979881 1.508536817 0.3779445306 1.201927375 +45 -15 1.57048661280473 1.591090220 0.4076432567 1.091090220 + +-45 -10 2.23053796010641 -1.065110143 0.4240288540 1.565110143 +-40 -10 2.19057460278107 -0.8954021489 0.4067725468 1.662975524 +-35 -10 2.14845793485428 -0.7196480577 0.3928669747 1.741837943 +-30 -10 2.10486018321113 -0.5403701066 0.3822633858 1.801973883 +-25 -10 2.06038635573418 -0.3598466827 0.3748623644 1.843947162 +-20 -10 2.01556691412797 -0.1800919971 0.3705264410 1.868537405 +-15 -10 1.97085884994292 -0.002854422219 0.3690909900 1.876678253 +-10 -10 1.92664624787863 0.1703741977 0.3703741977 1.869400820 +-5 -10 1.88324323305175 0.3383396084 0.3741853447 1.847786731 +0 -10 1.84090566651102 0.5000000000 0.3803300858 1.812938173 +5 -10 1.79984096541000 0.6545010172 0.3886145383 1.765954708 +10 -10 1.76021339506240 0.8011511601 0.3988488399 1.707913099 +15 -10 1.72214662700202 0.9393967874 0.4108500005 1.639851135 +20 -10 1.68573802038919 1.068801229 0.4244417433 1.562768531 +25 -10 1.65106456018061 1.189027270 0.4394550659 1.477623748 +30 -10 1.61817983916891 1.299818413 0.4557296265 1.385326129 +35 -10 1.58713100983575 1.400990995 0.4731115231 1.286748494 +40 -10 1.55795221428453 1.492419918 0.4914545529 1.182720003 +45 -10 1.53067332357679 1.574033434 0.5106189275 1.074033434 + +-45 -5 2.18173603428747 -1.039776693 0.5652869950 1.539776693 +-40 -5 2.13863227410601 -0.8716093446 0.5569892490 1.634620364 +-35 -5 2.09386628702666 -0.6979199908 0.5503237779 1.710807047 +-30 -5 2.04810557722659 -0.5211259942 0.5452638662 1.768642103 +-25 -5 2.00195096113520 -0.3434138478 0.5417586564 1.808706833 +-20 -5 1.95592898195378 -0.1667177700 0.5397389645 1.831792018 +-15 -5 1.91049129196502 0.007284708092 0.5391224769 1.838838503 +-10 -5 1.86601635546010 0.1771657187 0.5398183891 1.830884190 +-5 -5 1.82281073848116 0.3417315523 0.5417315523 1.809016635 +0 -5 1.78111996685146 0.5000000000 0.5447651664 1.774342268 +5 -5 1.74113791019759 0.6511770742 0.5488229258 1.727961865 +10 -5 1.70301156534053 0.7946332775 0.5538109620 1.670948350 +15 -5 1.66684463177162 0.9298788708 0.5596393311 1.604329787 +20 -5 1.63271304373042 1.056543111 0.5662219919 1.529089629 +25 -5 1.60066546673195 1.174353891 0.5734776930 1.446156586 +30 -5 1.57072728330261 1.283119033 0.5813302059 1.356401953 +35 -5 1.54291327284039 1.382714749 0.5897076518 1.260647309 +40 -5 1.51722309292012 1.473069282 0.5985430003 1.159658813 +45 -5 1.49365081082962 1.554155347 0.6077733575 1.054155347 + +-45 0 2.13290663387370 -1.008192744 0.7000000000 1.508192744 +-40 0 2.08681362014148 -0.8413779388 0.7000000000 1.598591978 +-35 0 2.03961832372312 -0.6698770096 0.7000000000 1.670757519 +-30 0 1.99197706077153 -0.4959885304 0.7000000000 1.725102738 +-25 0 1.94447338585313 -0.3217699623 0.7000000000 1.762291371 +-20 0 1.89761309768895 -0.1490219036 0.7000000000 1.783173025 +-15 0 1.85182444245845 0.02071256611 0.7000000000 1.788725055 +-10 0 1.80746073965523 0.1861377364 0.7000000000 1.780001350 +-5 0 1.76480279748498 0.3461873014 0.7000000000 1.758087190 +0 0 1.72406810834876 0.5000000000 0.7000000000 1.724068108 +5 0 1.68542266399068 0.6468942641 0.7000000000 1.679009122 +10 0 1.64898587786975 0.7863433927 0.7000000000 1.623934077 +15 0 1.61483454719052 0.9179499355 0.7000000000 1.559810394 +20 0 1.58301740761169 1.041423841 0.7000000000 1.487549777 +25 0 1.55355519777306 1.156560797 0.7000000000 1.407999173 +30 0 1.52644858175555 1.263224291 0.7000000000 1.321943249 +35 0 1.50168541644619 1.361331370 0.7000000000 1.230108679 +40 0 1.47924016159877 1.450837248 0.7000000000 1.133163706 +45 0 1.45908230603369 1.531726993 0.7000000000 1.031726993 + +-45 5 2.08391660893493 -0.9707398945 0.8286730678 1.470739895 +-40 5 2.03506903050720 -0.8051891777 0.8360854570 1.555463892 +-35 5 1.98574663140440 -0.6360637501 0.8419474852 1.622467180 +-30 5 1.93658365110791 -0.4655243988 0.8463105566 1.672337315 +-25 5 1.88812844379427 -0.2954608813 0.8492444059 1.705871365 +-20 5 1.84084480125223 -0.1274890102 0.8508314958 1.724011886 +-15 5 1.79511559399617 0.03704007570 0.8511620344 1.727789959 +-10 5 1.75124813165284 0.1970214488 0.8503297363 1.718276749 +-5 5 1.70947892490571 0.3515717677 0.8484282323 1.696542459 +0 5 1.66998191647394 0.5000000000 0.8455485143 1.663627131 +5 5 1.63288381122602 0.6417777395 0.8417777395 1.620526978 +10 5 1.59826883999713 0.7765120309 0.8371977671 1.568177654 +15 5 1.56618251653114 0.9039181330 0.8318841729 1.507442995 +20 5 1.53664641289628 1.023796865 0.8259066907 1.439120060 +25 5 1.50965794264738 1.136012789 0.8193287477 1.363933828 +30 5 1.48520064424209 1.240477933 0.8122081831 1.282545402 +35 5 1.46324479298493 1.337135685 0.8045973919 1.195553660 +40 5 1.44375254842617 1.425949033 0.7965440103 1.103503087 +45 5 1.42668262232417 1.506892042 0.7880916391 1.006892042 + +-45 10 2.03461395845045 -0.9276353956 0.9517306389 1.427635396 +-40 10 1.98332965620181 -0.7633865383 0.9654859155 1.505645446 +-35 10 1.93226446588107 -0.5969181963 0.9762270657 1.566561536 +-30 10 1.88200993943630 -0.4302218252 0.9840965261 1.611191463 +-25 10 1.83305792858222 -0.2649772941 0.9892642534 1.640499101 +-20 10 1.78580610650043 -0.1025661728 0.9919158325 1.655536953 +-15 10 1.74056855448185 0.05590295326 0.9922430580 1.657392742 +-10 10 1.69758583231551 0.2095636562 0.9904363438 1.647146356 +-5 10 1.65703294440964 0.3577578350 0.9866786446 1.625835385 +0 10 1.61902782754262 0.5000000000 0.9811412318 1.594431157 +5 10 1.58364934229951 0.6359428078 0.9739827524 1.553833403 +10 10 1.55094090028042 0.7653471747 0.9653471747 1.504858608 +15 10 1.52091648067256 0.8880539584 0.9553632732 1.448237089 +20 10 1.49357469362038 1.003961535 0.9441463821 1.384622938 +25 10 1.46889674705999 1.113004445 0.9317980868 1.314592275 +30 10 1.44685780777246 1.215139002 0.9184086642 1.238657087 +35 10 1.42742298174423 1.310327090 0.9040573993 1.157267019 +40 10 1.41055722042883 1.398528895 0.8888153459 1.070825038 +45 10 1.39622239563652 1.479692734 0.8727462619 0.9796927343 + +-45 15 1.98484071208774 -0.8789613176 1.069491571 1.378961318 +-40 15 1.93152063186660 -0.7162013104 1.088368850 1.449412281 +-35 15 1.87917707273677 -0.5527901841 1.102872383 1.503540203 +-30 15 1.82832778406113 -0.3905025402 1.113283667 1.542395644 +-25 15 1.77938134333894 -0.2307599913 1.119908501 1.567119859 +-20 15 1.73264534922899 -0.07466323457 1.123058083 1.578874261 +-15 15 1.68834237662385 0.07696419479 1.123035805 1.578791118 +-10 15 1.64662748748614 0.2235297334 1.120128470 1.567940797 +-5 15 1.60760010196435 0.3646281595 1.114599719 1.547307217 +0 15 1.57131279425208 0.5000000000 1.106685677 1.517771609 +5 15 1.53779045523204 0.6294933510 1.096595827 1.480115775 +10 15 1.50703485678713 0.7530325358 1.084512134 1.435018820 +15 15 1.47903138376242 0.8705902553 1.070590255 1.383061662 +20 15 1.45376058258746 0.9821660469 1.054963101 1.324740326 +25 15 1.43119597223022 1.087766507 1.037741742 1.260469341 +30 15 1.41131322038133 1.187392063 1.019019767 1.190597978 +35 15 1.39408665539688 1.281023123 0.9988749817 1.115416617 +40 15 1.37949689501433 1.368614036 0.9773740099 1.035173898 +45 15 1.36752494448264 1.450083293 0.9545740510 0.9500832927 + +-45 20 1.93444661376456 -0.8246917835 1.182148379 1.324691783 +-40 20 1.87958124889874 -0.6637823734 1.204805541 1.386941825 +-35 20 1.82650030530798 -0.5039653509 1.221864567 1.433811115 +-30 20 1.77561428109424 -0.3467388916 1.233796846 1.466594781 +-25 20 1.72721513858919 -0.1932109658 1.241076590 1.486595714 +-20 20 1.68149640410849 -0.04415842924 1.244158429 1.495062997 +-15 20 1.63856996655160 0.09991219817 1.243461429 1.493148004 +-10 20 1.59849080382999 0.2387035625 1.239362298 1.481885735 +-5 20 1.56127334039250 0.3720754769 1.232191449 1.462183990 +0 20 1.52690009531249 0.5000000000 1.222230589 1.434816752 +5 20 1.49534083073938 0.6225222757 1.209717026 1.400436020 +10 20 1.46655687532518 0.7397299290 1.194845191 1.359575988 +15 20 1.44050889780704 0.8517274515 1.177770885 1.312664719 +20 20 1.41716423820307 0.9586164228 1.158616423 1.260038266 +25 20 1.39649651416524 1.060478354 1.137473917 1.201949708 +30 20 1.37849071752425 1.157362196 1.114410948 1.138584722 +35 20 1.36314395821340 1.249274062 1.089475178 1.070074258 +40 20 1.35046361224620 1.336168029 1.062698614 0.9965062523 +45 20 1.34046604955223 1.417939192 1.034102543 0.9179391921 + +-45 25 1.88329418251158 -0.7647129014 1.289745311 1.264712901 +-40 25 1.82746974711066 -0.6062162302 1.314750717 1.318337167 +-35 25 1.77426811864333 -0.4506835756 1.333113766 1.357716854 +-30 25 1.72395440466548 -0.2992646204 1.345540902 1.384366931 +-25 25 1.67667244560099 -0.1526977669 1.352697767 1.399714878 +-20 25 1.63247671030856 -0.01139832677 1.355188072 1.405055355 +-15 25 1.59135635292749 0.1244627030 1.353541501 1.401524273 +-10 25 1.55325744979621 0.2548894394 1.348210110 1.390091066 +-5 25 1.51810584697342 0.3800034998 1.339571857 1.371566273 +0 25 1.48581429336667 0.5000000000 1.327932254 1.346605064 +5 25 1.45629969412977 0.6151111215 1.313533175 1.315726139 +10 25 1.42948663943629 0.7255790060 1.296557700 1.279322116 +15 25 1.40531505352090 0.8316342161 1.277137678 1.237675744 +20 25 1.38374386581593 0.9334789545 1.255360129 1.190973639 +25 25 1.36475301054901 1.031273264 1.231273264 1.139319191 +30 25 1.34834530653335 1.125123667 1.204892730 1.082745953 +35 25 1.33454668112125 1.215073217 1.176207551 1.021230389 +40 25 1.32340233826735 1.301090769 1.145185228 0.9547028024 +45 25 1.31497906931308 1.383064903 1.111779927 0.8830649027 + +-45 30 1.83127594888256 -0.6988515220 1.392157249 1.198851522 +-40 30 1.77518360951008 -0.5435574541 1.418029367 1.243663345 +-35 30 1.72254981654591 -0.3931634269 1.436450433 1.275569568 +-30 30 1.67345649556224 -0.2483924963 1.448392496 1.296253828 +-25 30 1.62787265807244 -0.1095627476 1.454718929 1.307211531 +-20 30 1.58569684137579 0.02329738407 1.456172779 1.309729673 +-15 30 1.54678788231668 0.1503569141 1.453376145 1.304885761 +-10 30 1.51098307169008 0.2719113844 1.446834223 1.293554819 +-5 30 1.47812217577153 0.3883266012 1.436948814 1.276432789 +0 30 1.44805310832463 0.5000000000 1.424026554 1.254050778 +5 30 1.42064523399334 0.6073309665 1.408292479 1.226798561 +10 30 1.39579112298484 0.7106999548 1.389898251 1.194938823 +15 30 1.37341399023277 0.8104528495 1.368932922 1.158625808 +20 30 1.35346869813539 0.9068886638 1.345429921 1.117917416 +25 30 1.33594526207499 1.000249488 1.319374724 1.072788490 +30 30 1.32086604226005 1.090709252 1.290709252 1.023138437 +35 30 1.30829074920513 1.178364967 1.259340160 0.9688055751 +40 30 1.29831201543467 1.263224251 1.225143512 0.9095752435 +45 30 1.29105585920792 1.345194457 1.187973247 0.8451944573 + +-45 35 1.77832989842560 -0.6269050260 1.489067394 1.126905026 +-40 35 1.72276421202958 -0.4758511389 1.514323232 1.162974101 +-35 35 1.67145404718270 -0.3316199470 1.531619947 1.187676370 +-30 35 1.62425649714087 -0.1944265935 1.542197123 1.202782142 +-25 35 1.58094881221176 -0.06413145597 1.547099744 1.209783811 +-20 35 1.54126673940618 0.05963188302 1.547182121 1.209901458 +-15 35 1.50493948503301 0.1773595391 1.543127314 1.204110593 +-10 35 1.47170423440148 0.2896123696 1.535464908 1.193167543 +-5 35 1.44132351481154 0.3969696108 1.524594322 1.177642737 +0 35 1.41358992769429 0.5000000000 1.510801873 1.157945079 +5 35 1.38833354296815 0.5992424975 1.494278276 1.134346937 +10 35 1.36542181323928 0.6951940159 1.475129936 1.107000274 +15 35 1.34476565636662 0.7883011679 1.453391526 1.075954607 +20 35 1.32631675576706 0.8789529725 1.429031396 1.041164735 +25 35 1.31007381433633 0.9674748750 1.401960231 1.002503105 +30 35 1.29607879972448 1.054119123 1.372032920 0.9597624746 +35 35 1.28442467712907 1.139056266 1.339056266 0.9126669323 +40 35 1.27525350355051 1.222360945 1.302792040 0.8608762511 +45 35 1.26875535634550 1.303994123 1.262962746 0.8039941234 + +-45 40 1.72446820617252 -0.5486842995 1.579950609 1.048684299 +-40 40 1.67032431818432 -0.4031714232 1.603171423 1.076357788 +-35 40 1.62114087358437 -0.2662874969 1.618287109 1.094371961 +-30 40 1.57652306303395 -0.1376748022 1.626773087 1.104485156 +-25 40 1.53604652232139 -0.01671755559 1.629809971 1.108104374 +-20 40 1.49929277584680 0.09732983028 1.628318744 1.106327199 +-15 40 1.46587270645179 0.2052584952 1.623001431 1.099990271 +-10 40 1.43543973372153 0.3078539134 1.614379125 1.089714608 +-5 40 1.40769400759935 0.4058672313 1.602822930 1.075942470 +0 40 1.38238563283764 0.5000000000 1.588580357 1.058968832 +5 40 1.35931533906074 0.5908976779 1.571795326 1.038965212 +10 40 1.33833204388336 0.6791473781 1.552521255 1.015995269 +15 40 1.31933649128872 0.7652776200 1.530733435 0.9900295558 +20 40 1.30227794031028 0.8497572240 1.506332854 0.9609500752 +25 40 1.28716066798719 0.9329937306 1.479152719 0.9285580517 +30 40 1.27404388417267 1.015327496 1.448958015 0.8925734049 +35 40 1.26304625065039 1.097021866 1.415446208 0.8526355883 +40 40 1.25435231676022 1.178248622 1.378248622 0.8083052320 +45 40 1.24821463994313 1.259064789 1.336930985 0.7590647891 + +-45 45 1.66979659901210 -0.4640575159 1.664057516 0.9640575159 +-40 45 1.61806094208363 -0.3256537906 1.683975871 0.9839758712 +-35 45 1.57183347359216 -0.1974423272 1.696050869 0.9960508694 +-30 45 1.53046230681261 -0.07846037925 1.701922767 1.001922767 +-25 45 1.49333059741904 0.03237007464 1.702835611 1.002835611 +-20 45 1.45988597270070 0.1361328093 1.699716890 0.9997168901 +-15 45 1.42964494694714 0.2338618888 1.693240953 0.9932409527 +-10 45 1.40219884110774 0.3265143082 1.683886250 0.9838862497 +-5 45 1.37720558516792 0.4149633595 1.671973249 0.9719732490 +0 45 1.35438847265911 0.5000000000 1.657697273 0.9576972734 +5 45 1.33353001995880 0.5823398585 1.641148889 0.9411488888 +10 45 1.31446747481318 0.6626312136 1.622327445 0.9223274448 +15 45 1.29709411676570 0.7414628744 1.601151715 0.9011517153 +20 45 1.28135578663765 0.8193696899 1.577461011 0.8774610114 +25 45 1.26725615345316 0.8968357050 1.551016916 0.8510169157 +30 45 1.25486140729088 0.9742930305 1.521499627 0.8214996265 +35 45 1.24430560522154 1.052114083 1.488500627 0.7885006273 +40 45 1.23580259224701 1.130597444 1.451516770 0.7515167697 +45 45 1.22965786428490 1.209943299 1.409943299 0.7099432990 + + +### +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 1.89342323395190 1.593168414 -0.3931684138 1.093168414 +45 -40 1.82703027791994 1.611054388 -0.2322853270 1.111054388 +45 -35 1.76635621914954 1.619317458 -0.08375452162 1.119317458 +45 -30 1.71090272440644 1.620048749 0.05333955340 1.120048749 +45 -25 1.66012525715241 1.614845386 0.1801390587 1.114845386 +45 -20 1.61348760441118 1.604901917 0.2978485904 1.104901917 +45 -15 1.57048663160476 1.591090233 0.4076432532 1.091090233 +45 -10 1.53067334945314 1.574033452 0.5106189243 1.074033452 +45 -5 1.49365082688516 1.554155358 0.6077733566 1.054155358 +45 0 1.45908231797265 1.531727001 0.7000000000 1.031727001 +45 5 1.42668262808908 1.506892046 0.7880916394 1.006892046 +45 10 1.39622239960283 1.479692737 0.8727462623 0.9796927370 +45 15 1.36752495439574 1.450083300 0.9545740529 0.9500832996 +45 20 1.34046606217363 1.417939201 1.034102546 0.9179392008 +45 25 1.31497911174891 1.383064931 1.111779940 0.8830649312 +45 30 1.29105588995064 1.345194477 1.187973259 0.8451944774 +45 35 1.26875535847717 1.303994125 1.262962747 0.8039941248 +45 40 1.24821464301735 1.259064791 1.336930986 0.7590647910 +45 45 1.22965789501848 1.209943317 1.409943317 0.7099433167 + +50 -45 1.90685787881246 1.659599181 -0.4595991806 0.9730192448 +50 -40 1.83716890877348 1.683872522 -0.2933869967 0.9933869967 +50 -35 1.77274108888094 1.696711633 -0.1379465065 1.004160290 +50 -30 1.71332357083185 1.700325257 0.006991889490 1.007192481 +50 -25 1.65856674633197 1.696490496 0.1420673186 1.003974734 +50 -20 1.60807570393915 1.686598053 0.2681136286 0.9956739888 +50 -15 1.56145069330966 1.671711953 0.3860407285 0.9831830672 +50 -10 1.51831553472065 1.652629803 0.4967602670 0.9671712423 +50 -5 1.47832394602487 1.629927036 0.6011441937 0.9481213593 +50 0 1.44117608811509 1.604004934 0.7000000000 0.9263701328 +50 5 1.40661394679471 1.575116947 0.7940605448 0.9021302339 +50 10 1.37443117506923 1.543399938 0.8839795607 0.8755165028 +50 15 1.34447008960145 1.508889798 0.9703312065 0.8465590570 +50 20 1.31662445746092 1.471536361 1.053610317 0.8152158024 +50 25 1.29084433018676 1.431215447 1.134232894 0.7813825378 +50 30 1.26713505988571 1.387733200 1.212533002 0.7448966011 +50 35 1.24556691989327 1.340835942 1.288759665 0.7055451285 +50 40 1.22627855093674 1.290214484 1.363068682 0.6630686820 +50 45 1.20947968306760 1.235509272 1.435509272 0.6171655585 + +55 -45 1.91845044860562 1.715697636 -0.5156976355 0.8512406486 +55 -40 1.84616049019118 1.746274343 -0.3457483412 0.8726506893 +55 -35 1.77862113962224 1.763825531 -0.1849401636 0.8849401636 +55 -30 1.71580564970217 1.770575428 -0.03356706562 0.8896664928 +55 -25 1.65755419042408 1.768404271 0.1085333747 0.8881462323 +55 -20 1.60362345747404 1.758851767 0.2418154274 0.8814574969 +55 -15 1.55373369900996 1.743151119 0.3668986615 0.8704637848 +55 -10 1.50759640942728 1.722266718 0.4844814001 0.8558403694 +55 -5 1.46493102935663 1.696931411 0.5952820706 0.8381003964 +55 0 1.42548511294308 1.667689044 0.7000000000 0.8176246712 +55 5 1.38903450901763 1.634919666 0.7992926048 0.7946793052 +55 10 1.35539766933986 1.598873313 0.8937610134 0.7694393770 +55 15 1.32443425175011 1.559687335 0.9839423656 0.7420010599 +55 20 1.29605020143592 1.517405351 1.070305264 0.7123948961 +55 25 1.27020142351760 1.471991697 1.153247172 0.6805959136 +55 30 1.24689226389707 1.423339233 1.233090155 0.6465290912 +55 35 1.22618424568934 1.371283333 1.310079158 0.6100791578 +55 40 1.20819392589710 1.315606822 1.384375384 0.5710940451 +55 45 1.19309342201237 1.256048118 1.456048118 0.5293905918 + +60 -45 1.92826037749230 1.762342734 -0.5623427342 0.7288139174 +60 -40 1.85395211742437 1.798847218 -0.3898622212 0.7498897907 +60 -35 1.78388104843021 1.820986108 -0.2249644307 0.7626716851 +60 -30 1.71821110386720 1.830920598 -0.06840736559 0.7684073656 +60 -25 1.65695473559662 1.830564971 0.07954736435 0.7682020442 +60 -20 1.60001926599930 1.821559491 0.2189916826 0.7630027277 +60 -15 1.54725049295410 1.805276024 0.3502523435 0.7536014638 +60 -10 1.49845557102057 1.782830007 0.4738024580 0.7406422501 +60 -5 1.45342871703544 1.755108746 0.5901922132 0.7246373723 +60 0 1.41197176316447 1.722803416 0.7000000000 0.7059858816 +60 5 1.37389890731087 1.686430758 0.8037992414 0.6849861176 +60 10 1.33905446358457 1.646366486 0.9021353413 0.6618549993 +60 15 1.30731173631459 1.602861284 0.9955107904 0.6367372591 +60 20 1.27858246891550 1.556064031 1.084375873 0.6097188529 +60 25 1.25281782784744 1.506035639 1.169122123 0.5808349472 +60 30 1.23000826484426 1.452760305 1.250076419 0.5500764186 +60 35 1.21019207491536 1.396162286 1.327499588 0.5173995373 +60 40 1.19345000766969 1.336110710 1.401580189 0.4827287436 +60 45 1.17990583744170 1.272429688 1.472429688 0.4459624880 + +65 -45 1.93636579244036 1.800352766 -0.6003527660 0.6063644531 +65 -40 1.86051818053347 1.842178315 -0.4262213294 0.6258680270 +65 -35 1.78843099657190 1.868554662 -0.2582722908 0.6381675195 +65 -30 1.72041902942126 1.881527960 -0.09762553971 0.6442170678 +65 -25 1.65664462109841 1.882995307 0.05509869708 0.6449013029 +65 -20 1.59715458071695 1.874653974 0.1996668712 0.6410116752 +65 -15 1.54191604670299 1.857981675 0.3361299068 0.6332372547 +65 -10 1.49083214603170 1.834223407 0.4647404150 0.6221585926 +65 -5 1.44377468715867 1.804410145 0.5858788998 0.6082564398 +65 0 1.40060249109511 1.769376944 0.7000000000 0.5919201902 +65 5 1.36116886532951 1.729778089 0.8075916415 0.5734549409 +65 10 1.32534234185690 1.686117954 0.9091445977 0.5530958856 +65 15 1.29300645433614 1.638764380 1.005130996 0.5310145511 +65 20 1.26407259199080 1.587973846 1.095990096 0.5073305362 +65 25 1.23848040999945 1.533904661 1.182117661 0.4821176611 +65 30 1.21619894728592 1.476630008 1.263857598 0.4554100520 +65 35 1.19723473403927 1.416155658 1.341499098 0.4272103995 +65 40 1.18162575693405 1.352425139 1.415269619 0.3974923701 +65 45 1.16944410078154 1.285331923 1.485331923 0.3662062898 + +70 -45 1.94285298938562 1.830448394 -0.6304483945 0.4842436138 +70 -40 1.86586153361611 1.876818055 -0.4552875223 0.5011207901 +70 -35 1.79221366571180 1.906895945 -0.2851191465 0.5120682469 +70 -30 1.72233983539365 1.922591968 -0.1213338554 0.5177811317 +70 -25 1.65652618539900 1.925754483 0.03515976603 0.5189321931 +70 -20 1.59494096930778 1.918104267 0.1838522577 0.5161477423 +70 -15 1.53765904966650 1.901192862 0.3245515042 0.5099924942 +70 -10 1.48467419967342 1.876371708 0.4573085324 0.5009583331 +70 -5 1.43593190934145 1.844797605 0.5823454548 0.4894662993 +70 0 1.39134532037555 1.807436931 0.7000000000 0.4758681259 +70 5 1.35080568888252 1.765074091 0.8106796415 0.4604493133 +70 10 1.31420330734112 1.718336152 0.9148255351 0.4434380946 +70 15 1.28142864353571 1.667702729 1.012885003 0.4250090357 +70 20 1.25238849564362 1.613531788 1.105292426 0.4052924258 +70 25 1.22700635237332 1.556071327 1.192454147 0.3843785284 +70 30 1.20522597034117 1.495474150 1.274737269 0.3623229598 +70 35 1.18701929795078 1.431815592 1.352464302 0.3391531392 +70 40 1.17238152634106 1.365099593 1.425904749 0.3148705015 +70 45 1.16133628082897 1.295272725 1.495272725 0.2894555999 + +75 -45 1.94780464394500 1.853230636 -0.6532306355 0.3625970560 +75 -40 1.86999271244550 1.903241756 -0.4774596397 0.3759974952 +75 -35 1.79518617818652 1.936338613 -0.3057351244 0.3848657715 +75 -30 1.72389956488956 1.954298952 -0.1396398911 0.3896782296 +75 -25 1.65651492922475 1.958910116 0.01969904044 0.3909137874 +75 -20 1.59329872936452 1.951894558 0.1715535976 0.3890339743 +75 -15 1.53441459715840 1.934851231 0.3155327713 0.3844672287 +75 -10 1.47993428436492 1.909213291 0.4515176752 0.3775975634 +75 -5 1.42986753711466 1.876240495 0.5795945584 0.3687625293 +75 0 1.38417507386478 1.837010452 0.7000000000 0.3582508709 +75 5 1.34278047165807 1.792419622 0.8130720654 0.3463027939 +75 10 1.30559236585180 1.743202576 0.9192101567 0.3331151263 +75 15 1.27250550755323 1.689936604 1.018842552 0.3188425520 +75 20 1.24342007078665 1.633067391 1.112402804 0.3036044923 +75 25 1.21824234320542 1.572918841 1.200310272 0.2874877370 +75 30 1.19689209380621 1.509710167 1.282956437 0.2705510238 +75 35 1.17930917072682 1.443571937 1.360696183 0.2528293384 +75 40 1.16545089476981 1.374553868 1.433837828 0.2343360027 +75 45 1.15529967636308 1.302640511 1.502640511 0.2150668768 + +80 -45 1.95128855004382 1.869168136 -0.6691681360 0.2414212835 +80 -40 1.87292722097609 1.921833396 -0.4930598783 0.2507075898 +80 -35 1.79732338448057 1.957159582 -0.3203141236 0.2569365495 +80 -30 1.72504770156162 1.976815862 -0.1526400354 0.2604024820 +80 -25 1.65655004382431 1.982532993 0.008683511723 0.2614105665 +80 -20 1.59216866335125 1.976024776 0.1627709165 0.2602629922 +80 -15 1.53213310943601 1.958917713 0.3090841769 0.2572465555 +80 -10 1.47657497037892 1.932702274 0.4473759338 0.2526240662 +80 -5 1.42555397159810 1.898714551 0.5776283333 0.2466311136 +80 0 1.37906797139512 1.858116830 0.7000000000 0.2394726401 +80 5 1.33706550148095 1.811892085 0.8147756852 0.2313219704 +80 10 1.29946859777749 1.760858170 0.9223233142 0.2223233142 +80 15 1.26617463586698 1.705668485 1.023057897 0.2125918836 +80 20 1.23707724674207 1.646836204 1.117414242 0.2022181652 +80 25 1.21206796456868 1.584742809 1.205823879 0.1912694243 +80 30 1.19104652384391 1.519656672 1.288699054 0.1797929824 +80 35 1.17392684003964 1.451747893 1.366421049 0.1678188323 +80 40 1.16063692394463 1.381097952 1.439328967 0.1553613416 +80 45 1.15112809241029 1.307716473 1.507716473 0.1424222069 + +85 -45 1.95335826720758 1.878597358 -0.6785973582 0.1206116404 +85 -40 1.87468152707104 1.932874944 -0.5023248372 0.1253603139 +85 -35 1.79861105330964 1.969566841 -0.3290017800 0.1285704389 +85 -30 1.72574988413843 1.990271760 -0.1604088021 0.1303818846 +85 -25 1.65658828232611 1.996681290 0.002086052793 0.1309426458 +85 -20 1.59150806832669 1.990499810 0.1575024349 0.1304018364 +85 -15 1.53077920322368 1.973367479 0.3052123738 0.1289029516 +85 -10 1.47457078162198 1.946808504 0.4448886249 0.1265793424 +85 -5 1.42297416805883 1.912205824 0.5764479998 0.1235520002 +85 0 1.37601079125243 1.870774655 0.7000000000 0.1199272425 +85 5 1.33364492100552 1.823552575 0.8157958459 0.1157958459 +85 10 1.29580671096156 1.771410089 0.9241839022 0.1112339695 +85 15 1.26239485706409 1.715048862 1.025571361 0.1063030010 +85 20 1.23329827865650 1.655024525 1.120394547 0.1010515520 +85 25 1.20839843016781 1.591754264 1.209093374 0.09551612146 +85 30 1.18758212463411 1.525536852 1.292093978 0.08972284858 +85 35 1.17074671382190 1.456566205 1.369794868 0.08368869886 +85 40 1.15780176390946 1.384942383 1.442554827 0.07742242638 +85 45 1.14867933369117 1.310689120 1.510689120 0.07092610765 + +90 -45 1.95404303413692 1.881717080 -0.6817170802 0.000000000 +90 -40 1.87526342317400 1.936535125 -0.5053960933 0.000000000 +90 -35 1.79903930431480 1.973686724 -0.3318865530 0.000000000 +90 -30 1.72598429023277 1.994746242 -0.1629921451 0.000000000 +90 -25 1.65660208033759 2.001391365 -0.0001102915883 0.000000000 +90 -20 1.59128898038137 1.995322512 0.1557471149 0.000000000 +90 -15 1.53032864125817 1.978183957 0.3039218024 0.000000000 +90 -10 1.47390290368399 1.951511007 0.4440594467 0.000000000 +90 -5 1.42211396243592 1.916702389 0.5760546013 0.000000000 +90 0 1.37499132510399 1.874991325 0.7000000000 0.000000000 +90 5 1.33250463629032 1.827434054 0.8161354313 0.000000000 +90 10 1.29458677116769 1.774919089 0.9248026336 0.000000000 +90 15 1.26113680169350 1.718164607 1.026406223 0.000000000 +90 20 1.23204195005449 1.657740729 1.121383164 0.000000000 +90 25 1.20718014583615 1.594076767 1.210176375 0.000000000 +90 30 1.18643368222256 1.527481709 1.293216841 0.000000000 +90 35 1.16969420751794 1.458157401 1.370909035 0.000000000 +90 40 1.15686500060983 1.386210005 1.443618488 0.000000000 +90 45 1.14787160687250 1.311667797 1.511667797 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 1.22965793259788 1.209943338 1.409943338 0.7099433384 +40 45 1.23580259624175 1.130597446 1.451516772 0.7515167721 +35 45 1.24430562182829 1.052114090 1.488500638 0.7885006378 +30 45 1.25486143968877 0.9742930428 1.521499648 0.8214996477 +25 45 1.26725618282432 0.8968357142 1.551016935 0.8510169354 +20 45 1.28135581714602 0.8193696975 1.577461032 0.8774610323 +15 45 1.29709412934112 0.7414628767 1.601151724 0.9011517241 +10 45 1.31446748250911 0.6626312145 1.622327450 0.9223274502 +5 45 1.33353002595195 0.5823398588 1.641148893 0.9411488930 +0 45 1.35438848181221 0.5000000000 1.657697280 0.9576972799 +-5 45 1.37720559955650 0.4149633586 1.671973259 0.9719732592 +-10 45 1.40219886752086 0.3265143050 1.683886268 0.9838862682 +-15 45 1.42964497956568 0.2338618828 1.693240975 0.9932409753 +-20 45 1.45988604342296 0.1361327917 1.699716939 0.9997169386 +-25 45 1.49333065133993 0.03237005775 1.702835647 1.002835647 +-30 45 1.53046248225523 -0.07846044557 1.701922882 1.001922882 +-35 45 1.57183359981014 -0.1974423832 1.696050949 0.9960509494 +-40 45 1.61806125869117 -0.3256539522 1.683976064 0.9839760638 +-45 45 1.66979693142427 -0.4640577078 1.664057708 0.9640577078 + +45 50 1.20947971108115 1.235509289 1.435509289 0.6171655728 +40 50 1.21341137246412 1.156111190 1.481922868 0.6561111901 +35 50 1.22011311913114 1.076728058 1.523653027 0.6911269509 +30 50 1.22929961340516 0.9972292548 1.561226332 0.7226546978 +25 50 1.24076100311759 0.9173851399 1.595085321 0.7510657627 +20 50 1.25435949041638 0.8368876026 1.625591081 0.7766631348 +15 50 1.27002141427642 0.7553618886 1.653023542 0.7996817030 +10 50 1.28773355140079 0.6723743301 1.677583404 0.8202898740 +5 50 1.30754105626699 0.5874355216 1.699392585 0.8385899497 +0 50 1.32954170970428 0.5000000000 1.718488039 0.8546129376 +-5 50 1.35388993622744 0.4094651199 1.734818415 0.8683157505 +-10 50 1.38079345528958 0.3151687928 1.748229865 0.8795692931 +-15 50 1.41051636149319 0.2163889381 1.758450893 0.8881457536 +-20 50 1.44338074860853 0.1123463140 1.765069749 0.8936996335 +-25 50 1.47976385334049 0.002215623007 1.767502041 0.8957405692 +-30 50 1.52009879429654 -0.1148522154 1.764955276 0.8936035795 +-35 50 1.56486065685299 -0.2396847339 1.756379278 0.8864074628 +-40 50 1.61455038433826 -0.3730135535 1.740417039 0.8730135535 +-45 50 1.66966016451097 -0.5153544111 1.715354411 0.8519835119 + +45 55 1.19309345338263 1.256048138 1.456048138 0.5293906057 +40 55 1.19496259437735 1.176880562 1.506674842 0.5648398052 +35 55 1.19991637827375 1.097009769 1.552618312 0.5970097692 +30 55 1.20770898376229 1.016337929 1.594323527 0.6262120749 +25 55 1.21815457912279 0.9346752476 1.632164077 0.6527083133 +20 55 1.23112922960130 0.8517561540 1.666442090 0.6767100369 +15 55 1.24656549378706 0.7672482644 1.697384101 0.6983758661 +10 55 1.26445085736838 0.6807597025 1.725139215 0.7178102057 +5 55 1.28482796226049 0.5918435894 1.749777030 0.7350617899 +0 55 1.30778902948997 0.5000000000 1.771278057 0.7501169710 +-5 55 1.33348019384484 0.4046785944 1.789528652 0.7628961751 +-10 55 1.36209597114790 0.3052814302 1.804303885 0.7732419046 +-15 55 1.39388137832224 0.2011690272 1.815252373 0.7809081189 +-20 55 1.42912835964650 0.09167187057 1.821872315 0.7855434521 +-25 55 1.46817106986889 -0.02388886779 1.823483303 0.7866714775 +-30 55 1.51137700131652 -0.1461666519 1.819193471 0.7836677052 +-35 55 1.55913290110113 -0.2757353682 1.807864920 0.7757353682 +-40 55 1.61181589143949 -0.4130050197 1.788077012 0.7618797262 +-45 55 1.66976195313497 -0.5581069007 1.758106901 0.7408944281 + +45 60 1.17990584367052 1.272429692 1.472429692 0.4459624904 +40 60 1.17992949271789 1.193632034 1.526638468 0.4772599421 +35 60 1.18326995077241 1.113540133 1.576226119 0.5058893854 +30 60 1.18972972854375 1.032063310 1.621560685 0.5320633096 +25 60 1.19915894916950 0.9490293637 1.662946578 0.5559574660 +20 60 1.21145865344631 0.8641966700 1.700622127 0.5777094544 +15 60 1.22657833332597 0.7772614386 1.734753776 0.5974153711 +10 60 1.24451507696291 0.6878642629 1.765431179 0.6151269778 +5 60 1.26531578309389 0.5955956932 1.792663773 0.6308497235 +0 60 1.28907084108025 0.5000000000 1.816368096 0.6445354205 +-5 60 1.31591896954875 0.4005811927 1.836362168 0.6560790035 +-10 60 1.34603961483243 0.2968102237 1.852346484 0.6653075528 +-15 60 1.37965427749007 0.1881365671 1.863890177 0.6719723068 +-20 60 1.41701780655826 0.07400678516 1.870406739 0.6757346456 +-25 60 1.45841353939040 -0.04610817359 1.871132758 0.6761538129 +-30 60 1.50413616894829 -0.1726701442 1.865098867 0.6726701442 +-35 60 1.55447961319382 -0.3060169436 1.851111491 0.6645945295 +-40 60 1.60970071664071 -0.4462768655 1.827728854 0.6510945575 +-45 60 1.66999135218416 -0.5932659688 1.793265969 0.6311974014 + +45 65 1.16944411451986 1.285331932 1.485331932 0.3662062941 +40 65 1.16787872281594 1.206948173 1.542508024 0.3928679438 +35 65 1.16979492369256 1.126796373 1.595157990 0.4174190261 +30 65 1.17504543591180 1.044777891 1.643582986 0.4399999723 +25 65 1.18352156255401 0.9607231919 1.688024074 0.4607231919 +20 65 1.19515549822944 0.8744007606 1.728657636 0.4796709331 +15 65 1.20992030643378 0.7855238556 1.765589536 0.4968925610 +10 65 1.22782862907978 0.6937565235 1.798847849 0.5124011672 +5 65 1.24893610357828 0.5987203637 1.828378921 0.5261717321 +0 65 1.27333464979704 0.5000000000 1.854033109 0.5381344763 +-5 65 1.30115693795372 0.3971519153 1.875558988 0.5481721585 +-10 65 1.33256687886542 0.2897153400 1.892583569 0.5561108513 +-15 65 1.36776031453190 0.1772281642 1.904600891 0.5617146203 +-20 65 1.40695218827985 0.05925068309 1.910948796 0.5646746971 +-25 65 1.45037200181345 -0.06460316339 1.910795391 0.5646031634 +-30 65 1.49824114017200 -0.1946187979 1.903115050 0.5610217614 +-35 65 1.55076287240988 -0.3309255952 1.886684733 0.5533601786 +-40 65 1.60808482678972 -0.4734166805 1.860072826 0.5409508428 +-45 65 1.67027430588654 -0.6216609084 1.821660908 0.5230390714 + +45 70 1.16133628854383 1.295272730 1.495272730 0.2894556018 +40 70 1.15846048920416 1.217285246 1.554827268 0.3111316811 +35 70 1.15917900833705 1.137161437 1.609960837 0.3311986589 +30 70 1.16339092971090 1.054787353 1.660919882 0.3497462346 +25 70 1.17102754116620 0.9699872730 1.707890959 0.3668423086 +20 70 1.18205360737978 0.8825309603 1.750995176 0.3825309603 +15 70 1.19646826634319 0.7921403226 1.790282527 0.3968303867 +10 70 1.21430278705954 0.6984953504 1.825723072 0.4097296903 +5 70 1.23562459772314 0.6012421613 1.857203199 0.4211875196 +0 70 1.26052934786459 0.5000000000 1.884510126 0.4311264282 +-5 70 1.28914504797107 0.3943725860 1.907326867 0.4394310425 +-10 70 1.32162092558022 0.2839619479 1.925212677 0.4459409452 +-15 70 1.35812749757823 0.1683875231 1.937594612 0.4504476009 +-20 70 1.39884071741945 0.04731335394 1.943746338 0.4526866461 +-25 70 1.44393806061467 -0.07951883074 1.942782143 0.4523357078 +-30 70 1.49357289962399 -0.2122415465 1.933638546 0.4490077105 +-35 70 1.54786571463266 -0.3508093543 1.915081683 0.4422535650 +-40 70 1.60687179415577 -0.4949285627 1.885709689 0.4315630332 +-45 70 1.67055668078492 -0.6439823116 1.843982312 0.4163755099 + +45 75 1.15529967997291 1.302640514 1.502640514 0.2150668775 +40 75 1.15140131795314 1.224991371 1.564011071 0.2315110688 +35 75 1.15117127241179 1.144932206 1.621058645 0.2467969201 +30 75 1.15454765692726 1.062332220 1.673987975 0.2609792914 +25 75 1.16149642561271 0.9770057420 1.722942115 0.2740965135 +20 75 1.17201198833955 0.8887190189 1.767996727 0.2861688605 +15 75 1.18611807851199 0.7971970753 1.809154585 0.2971970753 +10 75 1.20386416003979 0.7021298975 1.846335613 0.3071597018 +5 75 1.22532984767232 0.6031818526 1.879373972 0.3160123033 +0 75 1.25061562316145 0.5000000000 1.908001929 0.3236831414 +-5 75 1.27984621363950 0.3922274655 1.931845707 0.3300720623 +-10 75 1.31315819797377 0.2795195332 1.950406863 0.3350455092 +-15 75 1.35069957054227 0.1615649241 1.963056898 0.3384350759 +-20 75 1.39261180031316 0.03811505509 1.969018457 0.3400324706 +-25 75 1.43902664999184 -0.09098242555 1.967365901 0.3395896698 +-30 75 1.49003943520300 -0.2257363333 1.957012202 0.3368154044 +-35 75 1.54570132337874 -0.3659637266 1.936724370 0.3313792962 +-40 75 1.60599417706975 -0.5112303179 1.905137364 0.3229155835 +-45 75 1.67080510577113 -0.6607861508 1.860786151 0.3110317117 + +45 80 1.15112809497141 1.307716474 1.507716474 0.1424222072 +40 80 1.14649903546418 1.230323092 1.570365169 0.1534688624 +35 80 1.14558367919120 1.150331052 1.628768996 0.1637670328 +30 80 1.14834934843596 1.067595104 1.683103558 0.1733476821 +25 80 1.15478860841931 0.9819198843 1.733480527 0.1822305010 +20 80 1.16491929103413 0.8930667256 1.779941953 0.1904229039 +15 80 1.17878510058352 0.8007609097 1.822454996 0.1979191004 +10 80 1.19645091097698 0.7046982376 1.860901393 0.2046982376 +5 80 1.21800672872172 0.6045555036 1.895074875 0.2107239444 +0 80 1.24355756095689 0.5000000000 1.924665127 0.2159415043 +-5 80 1.27322602888858 0.3907043898 1.949254542 0.2202772814 +-10 80 1.30713899083780 0.2763643746 1.968300657 0.2236356254 +-15 80 1.34542675806443 0.1567213349 1.981133419 0.2258983877 +-20 80 1.38820381552594 0.03159267565 1.986938547 0.2269219883 +-25 80 1.43556630075813 -0.09909488242 1.984763121 0.2265384021 +-30 80 1.48756523337006 -0.2352594784 1.973506773 0.2245536043 +-35 80 1.54419995867072 -0.3766196674 1.951942631 0.2207512641 +-40 80 1.60539914539209 -0.5226437459 1.918739358 0.2148966313 +-45 80 1.67099487294207 -0.6724933944 1.872493394 0.2067422201 + +45 85 1.14867933490769 1.310689121 1.510689121 0.07092610773 +40 85 1.14361221963726 1.233454379 1.574096891 0.07647356883 +35 85 1.14228315887322 1.153510608 1.633309873 0.08165403342 +30 85 1.14467744246014 1.070702948 1.688486503 0.08648136303 +25 85 1.15080430508877 0.9848292020 1.739719579 0.09096367641 +20 85 1.16069649840815 0.8956467685 1.787030562 0.09510285112 +15 85 1.17441062710410 0.8028802473 1.830364471 0.09889407691 +10 85 1.19202164652789 0.7062283379 1.869579023 0.1023249057 +5 85 1.21362652420467 0.6053750573 1.904442417 0.1053750573 +0 85 1.23933353956154 0.5000000000 1.934617501 0.1080150352 +-5 85 1.26926419159387 0.3897941135 1.959659046 0.1102058865 +-10 85 1.30353924738702 0.2744783132 1.978997042 0.1118977419 +-15 85 1.34227776809875 0.1538268533 1.991935772 0.1130297340 +-20 85 1.38557708954006 0.02769815477 1.997638655 0.1135286717 +-25 85 1.43351072516825 -0.1039322741 1.995136941 0.1133098001 +-30 85 1.48610198512878 -0.2409273154 1.983323755 0.1122762802 +-35 85 1.54331824636751 -0.3829464378 1.960978195 0.1103212970 +-40 85 1.60505598311707 -0.5294008052 1.926792108 0.1073304019 +-45 85 1.67111464823002 -0.6794017913 1.879401791 0.1031842865 + +45 90 1.14787160764667 1.311667798 1.511667798 0.000000000 +40 90 1.14265847651551 1.234486711 1.575327176 0.000000000 +35 90 1.14119102848906 1.154560283 1.634808964 0.000000000 +30 90 1.14346061136405 1.071730306 1.690265938 0.000000000 +25 90 1.14948212990888 0.9857921396 1.741784605 0.000000000 +20 90 1.15929345312731 0.8965017130 1.789379503 0.000000000 +15 90 1.17295564714801 0.8035832605 1.832988153 0.000000000 +10 90 1.19054719811163 0.7067363514 1.872460111 0.000000000 +5 90 1.21216751326334 0.6056473600 1.907554850 0.000000000 +0 90 1.23792604350221 0.5000000000 1.937926044 0.000000000 +-5 90 1.26794393970361 0.3894914042 1.963119030 0.000000000 +-10 90 1.30233989691634 0.2738510502 1.982554428 0.000000000 +-15 90 1.34122912442596 0.1528643588 1.995527850 0.000000000 +-20 90 1.38470309435081 0.02640364921 2.001195280 0.000000000 +-25 90 1.43282750889670 -0.1055390712 1.998582729 0.000000000 +-30 90 1.48561631227979 -0.2428081561 1.986581467 0.000000000 +-35 90 1.54302607246401 -0.3850433958 1.963972962 0.000000000 +-40 90 1.60494249396599 -0.5316371494 1.929457279 0.000000000 +-45 90 1.67115422461944 -0.6816844846 1.881684485 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 1.67115421894342 -0.6816844806 1.881684481 1.447146117e-16 +-90 40 1.74135486982235 -0.8339552215 1.819321334 1.633623992e-16 +-90 35 1.81513250535140 -0.9868695024 1.741117234 1.820889977e-16 +-90 30 1.89195390559691 -1.138480145 1.645976953 2.006559465e-16 +-90 25 1.97118124345524 -1.286496911 1.533057191 2.187827723e-16 +-90 20 2.05207999224379 -1.428324426 1.401852693 2.361516336e-16 +-90 15 2.13381772266658 -1.561109647 1.252272665 2.524131332e-16 +-90 10 2.21549382891980 -1.681835499 1.084716466 2.671977861e-16 +-90 5 2.29616185366337 -1.787424265 0.9001236918 2.801286804e-16 +-90 -2.84217e-14 2.37484646403477 -1.874846464 0.7000000000 2.908348121e-16 +-90 -5 2.45055878777484 -1.941233672 0.4864197287 2.989649002e-16 +-90 -10 2.52233011298313 -1.984010251 0.2620019724 3.042035203e-16 +-90 -15 2.58923305160235 -2.001007075 0.02985717404 3.062850309e-16 +-90 -20 2.65039157882439 -1.990553409 -0.2064873077 3.050048260e-16 +-90 -25 2.70499536976806 -1.951558368 -0.4431804412 3.002293108e-16 +-90 -30 2.75231508388085 -1.883574782 -0.6761575419 2.919037227e-16 +-90 -35 2.79172120807295 -1.786844135 -0.9012655018 2.800576350e-16 +-90 -40 2.82269177729851 -1.662307351 -1.114391300 2.648062776e-16 +-90 -45 2.84481350266915 -1.511586919 -1.311586919 2.463483481e-16 + +-85 45 1.67111463927320 -0.6794017850 1.879401785 0.1031842859 +-85 40 1.74113116431654 -0.8307984230 1.816672466 0.1164297754 +-85 35 1.81465488371665 -0.9826755568 1.738180602 0.1297173029 +-85 30 1.89115192776699 -1.133104738 1.642873460 0.1428781509 +-85 25 1.96999083030769 -1.279831747 1.529949174 0.1557151008 +-85 20 2.05044792724401 -1.420312129 1.398936455 0.1680055417 +-85 15 2.13170700025433 -1.551757538 1.249766775 0.1795055249 +-85 10 2.21289089698351 -1.671227999 1.082846077 0.1899578358 +-85 5 2.29307715664089 -1.775724316 0.8991000790 0.1991000790 +-85 -2.84217e-14 2.37131872777304 -1.862295144 0.7000000000 0.2066740450 +-85 -5 2.44665334998100 -1.928138323 0.4875654233 0.2124345767 +-85 -10 2.51813519404646 -1.970725351 0.2643444587 0.2161604589 +-85 -15 2.58485442147902 -1.987909709 0.03336660252 0.2176638955 +-85 -20 2.64594750935492 -1.978017133 -0.2019244764 0.2167984072 +-85 -25 2.70061073767127 -1.939926447 -0.4377563876 0.2134659040 +-85 -30 2.74811223149036 -1.873133031 -0.6701289942 0.2076222372 +-85 -35 2.78781198888795 -1.777799889 -0.8949326529 0.1992816681 +-85 -40 2.81917051430754 -1.654776017 -1.108071761 0.1885184739 +-85 -45 2.84175065567865 -1.505587000 -1.305587000 0.1754661262 + +-80 45 1.67099484675140 -0.6724933760 1.872493376 0.2067422169 +-80 40 1.74045687715282 -0.8212684854 1.808675899 0.2329752827 +-80 35 1.81321875300441 -0.9700465719 1.729337691 0.2592088735 +-80 30 1.88874657751271 -1.116958709 1.633551546 0.2851134471 +-80 25 1.96642866233730 -1.259859524 1.520635973 0.3103107163 +-80 20 2.04557372235727 -1.396355308 1.390216886 0.3343786057 +-80 15 2.12541496239490 -1.523848657 1.242288613 0.3568591232 +-80 10 2.20514207183163 -1.639621844 1.077273060 0.3772730596 +-80 5 2.28390229865896 -1.740902443 0.8960535599 0.3951315619 +-80 -2.84217e-14 2.36082821796501 -1.824961933 0.7000000000 0.4099535178 +-80 -5 2.43503607725474 -1.889190772 0.4909728925 0.4212787951 +-80 -10 2.50564783533641 -1.931198837 0.2713140495 0.4286859505 +-80 -15 2.57180705492300 -1.948909200 0.04381675750 0.4318087653 +-80 -20 2.63268768520882 -1.940641083 -0.1883207067 0.4303508732 +-80 -25 2.68750483479575 -1.905188181 -0.4215576683 0.4240995701 +-80 -30 2.73552385170685 -1.841885973 -0.6520884969 0.4129376828 +-80 -35 2.77607625131501 -1.750672386 -0.8759377705 0.3968542663 +-80 -40 2.80857108629640 -1.632127784 -1.089067637 0.3759516547 +-80 -45 2.83250579951460 -1.487495230 -1.287495230 0.3504490331 + +-75 45 1.67080505412139 -0.6607861149 1.860786115 0.3110317021 +-75 40 1.73933882820206 -0.8051991352 1.795192113 0.3497270542 +-75 35 1.81083303469611 -0.9488577516 1.714501119 0.3882202645 +-75 30 1.88475931095898 -1.090001846 1.617987994 0.4260397105 +-75 25 1.96054025970223 -1.226668421 1.505158708 0.4626594090 +-75 20 2.03753759459793 -1.356707528 1.375786274 0.4975032827 +-75 15 2.11507105360546 -1.477830706 1.229958140 0.5299581404 +-75 10 2.19242896226076 -1.587660288 1.068110835 0.5593868882 +-75 5 2.26887157156968 -1.683777765 0.8910557981 0.5851414887 +-75 -2.84217e-14 2.34365084847216 -1.763792882 0.7000000000 0.6065814747 +-75 -5 2.41600505040570 -1.825393017 0.4965544727 0.6230871811 +-75 -10 2.48516443962606 -1.866406939 0.2827386094 0.6340768282 +-75 -15 2.55036101588030 -1.884876063 0.06097438478 0.6390256152 +-75 -20 2.61083259414375 -1.879122989 -0.1659299516 0.6374840836 +-75 -25 2.66582842223911 -1.847823122 -0.3948079016 0.6290973094 +-75 -30 2.71461727447909 -1.790078341 -0.6221773468 0.6136246421 +-75 -35 2.75649459739898 -1.705486916 -0.8442985639 0.5909584380 +-75 -40 2.79079599815204 -1.594212159 -1.057252651 0.5611424569 +-75 -45 2.81692114768666 -1.457046363 -1.257046363 0.5243889926 + +-70 45 1.67055657976015 -0.6439822424 1.843982242 0.4163754848 +-70 40 1.73778279070758 -0.7823088312 1.775984867 0.4667222457 +-70 35 1.80751131414727 -0.9189046696 1.693527746 0.5164390650 +-70 30 1.87923039013669 -1.052178033 1.596150405 0.5649466024 +-70 25 1.95240874565753 -1.180417458 1.483591529 0.6116219358 +-70 20 2.02648481471241 -1.301801332 1.355802053 0.6558020528 +-70 15 2.10089402246073 -1.414441116 1.212972951 0.6967995816 +-70 10 2.17504913485721 -1.516385880 1.055543234 0.7339044413 +-70 5 2.24836193745351 -1.605665129 0.8842218279 0.7663994301 +-70 -2.84217e-14 2.32022918831490 -1.680302247 0.7000000000 0.7935651195 +-70 -5 2.39004019853651 -1.738351494 0.5041696193 0.8146933176 +-70 -10 2.45716610084370 -1.777923267 0.2983406680 0.8290962652 +-70 -15 2.52095835299042 -1.797225025 0.08446040967 0.8361215306 +-70 -20 2.58074645448246 -1.794610039 -0.1351697533 0.8351697533 +-70 -25 2.63583734415171 -1.768637189 -0.3578828950 0.8257164093 +-70 -30 2.68551561843069 -1.718141199 -0.5806444183 0.8073373718 +-70 -35 2.72904768504117 -1.642314946 -0.8000650746 0.7797388729 +-70 -40 2.76569771831128 -1.540806611 -1.012440075 0.7427928605 +-70 -45 2.79474445018955 -1.413816067 -1.213816067 0.6965720822 + +-65 45 1.67027411903897 -0.6216607829 1.821660783 0.5230390129 +-65 40 1.73580511817968 -0.7522102786 1.750729183 0.5839152425 +-65 35 1.80327636969285 -0.8799147339 1.666226699 0.6434648080 +-65 30 1.87221240328910 -1.003420817 1.568000413 0.7010566403 +-65 25 1.94214502748255 -1.121335937 1.456041364 0.7560413638 +-65 20 2.01261391455047 -1.232235407 1.330482127 0.8077546360 +-65 15 2.08317946360713 -1.334678057 1.191600504 0.8555244284 +-65 10 2.15340821863179 -1.427197276 1.039816877 0.8986668487 +-65 5 2.22287260685907 -1.508303376 0.8757037783 0.9364872441 +-65 -2.84217e-14 2.29114364307686 -1.576481325 0.7000000000 0.9682791438 +-65 -5 2.35777415594485 -1.630183162 0.5136331221 0.9933207215 +-65 -10 2.42229262659138 -1.667835950 0.3177520322 1.010878505 +-65 -15 2.48419455992683 -1.687856269 0.1137656795 1.020214133 +-65 -20 2.54292867644285 -1.688671686 -0.09661134645 1.020594369 +-65 -25 2.59788760311371 -1.668761072 -0.3113098964 1.011309896 +-65 -30 2.64840054016575 -1.626714093 -0.5278589542 0.9917030683 +-65 -35 2.69373174590814 -1.561314720 -0.7433481057 0.9612068399 +-65 -40 2.73308989855961 -1.471651787 -0.9544122874 0.9193963276 +-65 -45 2.76563465874272 -1.357242414 -1.157242414 0.8660463606 + +-60 45 1.66999105488010 -0.5932657741 1.793265774 0.6311972890 +-60 40 1.73342942938106 -0.7144110789 1.719011888 0.7011405633 +-60 35 1.79816903553277 -0.8315665402 1.632372929 0.7687803004 +-60 30 1.86378556602071 -0.9436820916 1.533510244 0.8335102442 +-60 25 1.92989677825647 -1.049742425 1.422656761 0.8947442065 +-60 20 1.99616614909702 -1.148762846 1.300100599 0.9519136733 +-60 15 2.06228903156326 -1.239767697 1.166169350 1.004455348 +-60 10 2.12799004179700 -1.321775389 1.021228154 1.051802511 +-60 5 2.19300880257661 -1.393773321 0.8656836969 1.093370537 +-60 -2.84217e-14 2.25708717113390 -1.454694829 0.7000000000 1.128543586 +-60 -5 2.31995443909587 -1.503397258 0.5247254514 1.156661946 +-60 -10 2.38130560207144 -1.538639211 0.3405329032 1.177008897 +-60 -15 2.44079096325697 -1.559075721 0.1482723235 1.188807922 +-60 -20 2.49800009806375 -1.563259992 -0.05096522253 1.191223712 +-60 -25 2.55244338556625 -1.549658742 -0.2557715681 1.183371027 +-60 -30 2.60353516236522 -1.516689665 -0.4643363210 1.164336321 +-60 -35 2.65058086681795 -1.462788105 -0.6743590273 1.133216241 +-60 -40 2.69277025101080 -1.386508888 -0.8829689123 1.089176414 +-60 -45 2.72917760845983 -1.286666139 -1.086666139 1.031532177 + +-55 45 1.66976149010075 -0.5581066073 1.758106607 0.7408942226 +-55 40 1.73069918206130 -0.6683307040 1.680345863 0.8180739661 +-55 35 1.79224587854022 -0.7735067903 1.591719054 0.8917190545 +-55 30 1.85405516191777 -0.8729509121 1.492673579 0.9613505782 +-55 25 1.91585307819270 -0.9660614064 1.383635661 1.026547248 +-55 20 1.97743020320416 -1.052291777 1.264988002 1.086926404 +-55 15 2.03863152553568 -1.131120612 1.137057451 1.142122949 +-55 10 2.09933370582481 -1.202011030 1.000110466 1.191760953 +-55 5 2.15943031324271 -1.264376560 0.8543629472 1.235429768 +-55 -2.84217e-14 2.21883026139031 -1.317559345 0.7000000000 1.272668754 +-55 -5 2.27742399648498 -1.360784066 0.5372024890 1.302935030 +-55 -10 2.33506982157337 -1.393131417 0.3661898532 1.325584889 +-55 -15 2.39158022421191 -1.413516862 0.1872747021 1.339858931 +-55 -20 2.44670298847834 -1.420673065 0.0009321746288 1.344869758 +-55 -25 2.50009502969276 -1.413138788 -0.1921112678 1.339594201 +-55 -30 2.55129615467192 -1.389266541 -0.3907685460 1.322878674 +-55 -35 2.59970600491889 -1.347259514 -0.5934650365 1.293465036 +-55 -40 2.64456127660360 -1.285245044 -0.7979984583 1.250042038 +-55 -45 2.68491350791307 -1.201395522 -1.001395522 1.191329970 + +-50 45 1.66965967120813 -0.5153541111 1.715354111 0.8519832602 +-50 40 1.72767925903209 -0.6133173396 1.634184169 0.9341841691 +-50 35 1.78559368794962 -0.7053879450 1.544021726 1.011440580 +-50 30 1.84315969009537 -0.7912862271 1.445524451 1.083517797 +-50 25 1.90023213346572 -0.8708279716 1.339227581 1.150261245 +-50 20 1.95673874459985 -0.9438762922 1.225527992 1.211556064 +-50 15 2.01265757466603 -1.010297409 1.104682971 1.267289999 +-50 10 2.06801023855148 -1.069930741 0.9768211476 1.317328306 +-50 5 2.12283291973649 -1.122544447 0.8419542452 1.361476447 +-50 -2.84217e-14 2.17717087638337 -1.167809652 0.7000000000 1.399458464 +-50 -5 2.23105763087542 -1.205263818 0.5508087476 1.430886241 +-50 -10 2.28450140944965 -1.234280094 0.3941996273 1.455233787 +-50 -15 2.33747276588866 -1.254038594 0.2300067753 1.471813137 +-50 -20 2.38988087233502 -1.263491597 0.05814155049 1.479745148 +-50 -25 2.44154681332373 -1.261332527 -0.1213228460 1.477933474 +-50 -30 2.49217594424471 -1.245975940 -0.3080396789 1.465047767 +-50 -35 2.54132240838082 -1.215552321 -0.5012426673 1.439519320 +-50 -40 2.58834646524926 -1.167931698 -0.6995608729 1.399560873 +-50 -45 2.63237117926174 -1.100798621 -0.9007986208 1.343229532 + +-45 45 1.66979635701697 -0.4640573762 1.664057376 0.9640573762 +-45 40 1.72446785413859 -0.5486840854 1.579950429 1.048684085 +-45 35 1.77832960670837 -0.6269048411 1.489067265 1.126904841 +-45 30 1.83127566559204 -0.6988513366 1.392157142 1.198851337 +-45 25 1.88329392343491 -0.7647127274 1.289745230 1.264712727 +-45 20 1.93444647135588 -0.8246916859 1.182148343 1.324691686 +-45 15 1.98484061593887 -0.8789612508 1.069491554 1.378961251 +-45 10 2.03461391629086 -0.9276353660 0.9517306336 1.427635366 +-45 5 2.08391657690898 -0.9707398719 0.8286730658 1.470739872 +-45 -2.84217e-14 2.13290660442569 -1.008192724 0.7000000000 1.508192724 +-45 -5 2.18173601657663 -1.039776681 0.5652869961 1.539776681 +-45 -10 2.23053797020587 -1.065110150 0.4240288528 1.565110150 +-45 -15 2.27942065090208 -1.083619726 0.2756703734 1.583619726 +-45 -20 2.32844500927832 -1.094498370 0.1196500548 1.594498370 +-45 -25 2.37760383019955 -1.096663053 -0.04453620891 1.596663053 +-45 -30 2.42679451021033 -1.088709934 -0.2172421082 1.588709934 +-45 -35 2.47577862053095 -1.068869406 -0.3985341843 1.568869406 +-45 -40 2.52412604856229 -1.034972548 -0.5879948992 1.534972548 +-45 -45 2.57114427217198 -0.9844508377 -0.7844508377 1.484450838 + + +### -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 2.84481351966060 -1.511586931 -1.311586931 2.463483496e-16 +-40 -90 2.85779343448164 -1.336954211 -1.489196780 2.680992829e-16 +-35 -90 2.86146623234026 -1.141269604 -1.643975914 2.870542600e-16 +-30 -90 2.85578157780007 -0.9278907889 -1.773179394 3.028771229e-16 +-25 -90 2.84082096551224 -0.7005828184 -1.874658163 3.153046878e-16 +-20 -90 2.81677820401258 -0.4633948851 -1.946905693 3.241524584e-16 +-15 -90 2.78397353329151 -0.2205453715 -1.989111936 3.293212324e-16 +-10 -90 2.74284541500509 0.02370989206 -2.001175430 3.307985844e-16 +-5 -90 2.69393279771258 0.2652082861 -1.983681570 3.286562045e-16 +-2.84217e-14 -90 2.63787937398472 0.5000000000 -1.937879374 3.230470532e-16 +5 -90 2.57542800117314 0.7244633403 -1.865627720 3.141987775e-16 +10 -90 2.50740270686221 0.9354059107 -1.769309626 3.024032129e-16 +15 -90 2.43469710701952 1.130145980 -1.651736815 2.880046963e-16 +20 -90 2.35825575329336 1.306570971 -1.516035529 2.713860818e-16 +25 -90 2.27905608225256 1.463170720 -1.365526274 2.529540141e-16 +30 -90 2.19808384535149 1.599041923 -1.203596450 2.331233299e-16 +35 -90 2.11630225857053 1.713861108 -1.033573321 2.123015019e-16 +40 -90 2.03465940951484 1.807853858 -0.8586395343 1.908782917e-16 +45 -90 1.95404303247374 1.881717079 -0.6817170790 1.692115398e-16 + +-45 -85 2.84175068275858 -1.505587019 -1.305587019 0.1754661279 +-40 -85 2.85415824477247 -1.330511101 -1.481518181 0.1908581101 +-35 -85 2.85729733759514 -1.134685854 -1.634573345 0.2042487018 +-30 -85 2.85114745513707 -0.9214993661 -1.762109125 0.2154066368 +-25 -85 2.83581668205489 -0.6947181054 -1.862081245 0.2241530640 +-20 -85 2.81152002541896 -0.4583632018 -1.933081257 0.2303647601 +-15 -85 2.77859090702135 -0.2165979953 -1.974380127 0.2339779431 +-10 -85 2.73747255606290 0.02639751388 -1.985933169 0.2349887033 +-5 -85 2.68870329977084 0.2665490506 -1.968356562 0.2334509494 +-2.84217e-14 -85 2.63291859120071 0.5000000000 -1.922899541 0.2294739754 +5 -85 2.57084463588214 0.7232176831 -1.851389793 0.2232176831 +10 -85 2.50328346125760 0.9330860845 -1.756153237 0.2148855641 +15 -85 2.43110164074805 1.126980589 -1.639923412 0.2047167720 +20 -85 2.35521612102831 1.302822830 -1.505737597 0.1929770344 +25 -85 2.27657439359716 1.459111590 -1.356821442 0.1799485591 +30 -85 2.19613505590735 1.594929196 -1.196472998 0.1659198880 +35 -85 2.11484119267034 1.709919925 -1.027944730 0.1511755751 +40 -85 2.03362308504188 1.804261822 -0.8543587123 0.1359887664 +45 -85 1.95335826447234 1.878597356 -0.6785973563 0.1206116402 + +-45 -80 2.83250586112890 -1.487495273 -1.287495273 0.3504490407 +-40 -80 2.84321605165497 -1.311136577 -1.458428523 0.3805891845 +-35 -80 2.84478089222310 -1.114940387 -1.606373895 0.4066759454 +-30 -80 2.83726636743406 -0.9023768119 -1.728987890 0.4282961007 +-25 -80 2.82085712230532 -0.6772086494 -1.824532095 0.4451431221 +-20 -80 2.79582796918832 -0.4433674535 -1.891880777 0.4570185117 +-15 -80 2.76254902792704 -0.2048500685 -1.930536267 0.4638345176 +-10 -80 2.72147708284783 0.03438828333 -1.940615264 0.4656117167 +-5 -80 2.67314578630658 0.2705332020 -1.922817503 0.4624734912 +-2.84217e-14 -80 2.61816438118483 0.5000000000 -1.878388581 0.4546394736 +5 -80 2.55721079390279 0.7195147663 -1.809065261 0.4424159018 +10 -80 2.49102304879380 0.9261838269 -1.717008589 0.4261838269 +15 -80 2.42038922685898 1.117549768 -1.604727112 0.4063855730 +20 -80 2.34614517632870 1.291635617 -1.475000983 0.3835113564 +25 -80 2.26915285424618 1.446969751 -1.330783185 0.3580818674 +30 -80 2.19029303876671 1.582597039 -1.175113076 0.3306330272 +35 -80 2.11044954288964 1.698071251 -1.011023069 0.3016995317 +40 -80 2.03049956045546 1.793433899 -0.8414544962 0.2718000172 +45 -80 1.95128854060849 1.869168129 -0.6691681294 0.2414212823 + +-45 -75 2.81692126216704 -1.457046443 -1.257046443 0.5243890139 +-40 -75 2.82486468855905 -1.278704343 -1.419777291 0.5679926131 +-35 -75 2.82389319934318 -1.082057957 -1.559412918 0.6054078668 +-30 -75 2.81421157056945 -0.8706855926 -1.674097088 0.6361373974 +-25 -75 2.79611328816623 -0.6483135584 -1.762566373 0.6598426709 +-20 -75 2.76996206185261 -0.4187081239 -1.824129825 0.6763385483 +-15 -75 2.73617908834350 -0.1855847131 -1.858636982 0.6855847131 +-10 -75 2.69523832331399 0.04746701146 -1.866442111 0.6876760910 +-5 -75 2.64765994162521 0.2770474144 -1.848359715 0.6828309276 +-2.84217e-14 -75 2.59400638664669 0.5000000000 -1.805617762 0.6713782560 +5 -75 2.53487957254888 0.7134556429 -1.739809162 0.6537448947 +10 -75 2.47091473951772 0.9148688529 -1.652838183 0.6304410911 +15 -75 2.40278316299130 1.102048094 -1.546874076 0.6020480941 +20 -75 2.33119081081368 1.273181686 -1.424299222 0.5692042611 +25 -75 2.25687302164319 1.426857256 -1.287651800 0.5325896947 +30 -75 2.18058785884027 1.562073795 -1.139565774 0.4929101635 +35 -75 2.10312138069739 1.678252746 -0.9827193102 0.4508832803 +40 -75 2.02526448166814 1.775228064 -0.8197576270 0.4072178288 +45 -75 1.94780459255592 1.853230600 -0.6532305998 0.3625970464 + +-45 -70 2.79474451002489 -1.413816108 -1.213816108 0.6965720971 +-40 -70 2.79894697936124 -1.233027056 -1.365341220 0.7517227278 +-35 -70 2.79461413903005 -1.036104734 -1.493784913 0.7984724088 +-30 -70 2.78211608771837 -0.8267103771 -1.597929780 0.8363780404 +-25 -70 2.76187568203202 -0.6084678835 -1.677117047 0.8651998486 +-20 -70 2.73435398917409 -0.3848795443 -1.731186567 0.8848795443 +-15 -70 2.70002534584341 -0.1592621783 -1.760399945 0.8955123444 +-10 -70 2.65937457347761 0.06528676904 -1.765381243 0.8973253887 +-5 -70 2.61289219263144 0.2859100139 -1.747059738 0.8906569063 +-2.84217e-14 -70 2.56107274696591 0.5000000000 -1.706621162 0.8759384680 +5 -70 2.50441612379019 0.7052018888 -1.645468321 0.8536806544 +10 -70 2.44343156512362 0.8994142235 -1.565190624 0.8244619622 +15 -70 2.37864473333601 1.080791032 -1.467541642 0.7889206392 +20 -70 2.31060119558547 1.247746539 -1.354416732 0.7477465394 +25 -70 2.23987933112862 1.398966712 -1.227840336 0.7016764986 +30 -70 2.16708086434505 1.533417938 -1.089932374 0.6514821055 +35 -70 2.09285673431131 1.650372458 -0.9429021329 0.5979674742 +40 -70 2.01787960420293 1.749412717 -0.7889920941 0.5419488013 +45 -70 1.94285292371248 1.830448350 -0.6304483495 0.4842435975 + +-45 -65 2.76563457695274 -1.357242359 -1.157242359 0.8660463350 +-40 -65 2.76527038849010 -1.173891997 -1.294866801 0.9302216664 +-35 -65 2.75693884161243 -0.9772155619 -1.409682460 0.9837610875 +-30 -65 2.74117941768675 -0.7708733600 -1.501217229 1.026444451 +-25 -65 2.71855216061953 -0.5582823909 -1.569493911 1.058282391 +-20 -65 2.68959749050130 -0.3425575983 -1.614907976 1.079459317 +-15 -65 2.65482523952595 -0.1265007160 -1.638132503 1.090289092 +-10 -65 2.61471161977043 0.08738750552 -1.640041739 1.091179383 +-5 -65 2.56969609287409 0.2968820565 -1.621648718 1.082602577 +-2.84217e-14 -65 2.52018609089835 0.5000000000 -1.584064279 1.065076665 +5 -65 2.46656556569322 0.6949661389 -1.528473165 1.039154103 +10 -65 2.40920296616257 0.8801823643 -1.456121331 1.005415888 +15 -65 2.34846208841550 1.054203402 -1.368315254 0.9644712426 +20 -65 2.28472176747331 1.215724078 -1.266435744 0.9169640467 +25 -65 2.21837814609960 1.363573840 -1.151940076 0.8635738399 +30 -65 2.14986345358000 1.496725779 -1.026379691 0.8050240706 +35 -65 2.07965728558462 1.614316378 -0.8914087148 0.7420860710 +40 -65 2.00829277320004 1.715673236 -0.7487829462 0.6755785828 +45 -65 1.93636552786459 1.800352588 -0.6003525883 0.6063643702 + +-45 -60 2.72917775066249 -1.286666232 -1.086666232 1.031532230 +-40 -60 2.72363380212729 -1.101112325 -1.208131366 1.101660158 +-35 -60 2.71090441336309 -0.9056375338 -1.307458442 1.159006672 +-30 -60 2.69170165145147 -0.7037655736 -1.384983134 1.203765574 +-25 -60 2.66668059881392 -0.4985481018 -1.441393315 1.236334007 +-20 -60 2.63643398464003 -0.2925821282 -1.477601500 1.257238812 +-15 -60 2.60147335344080 -0.08804906701 -1.494628995 1.267069641 +-10 -60 2.56223387422349 0.1132210955 -1.493532170 1.266436389 +-5 -60 2.51908120372964 0.3096812534 -1.475353227 1.255940771 +-2.84217e-14 -60 2.47232126927720 0.5000000000 -1.441093026 1.236160635 +5 -60 2.42221256673860 0.6830002379 -1.391702291 1.207644881 +10 -60 2.36898021942009 0.8576065336 -1.328087433 1.170916825 +15 -60 2.31283577461290 1.022804094 -1.251131441 1.126486263 +20 -60 2.25398429811588 1.177607587 -1.161711546 1.074859662 +25 -60 2.19264157698749 1.321042492 -1.060731306 1.016558694 +30 -60 2.12905984611263 1.452144509 -0.9491626654 0.9521445088 +35 -60 2.06354176309790 1.569971977 -0.8280783463 0.8822364446 +40 -60 1.99645755329006 1.673635308 -0.6986840942 0.8075306383 +45 -60 1.92825998479713 1.762342477 -0.5623424771 0.7288137690 + +-45 -55 2.68491360027035 -1.201395581 -1.001395581 1.191330011 +-40 -55 2.67385100210900 -1.014589476 -1.105017450 1.263886825 +-35 -55 2.65663366088419 -0.8217889825 -1.187710301 1.321788983 +-30 -55 2.63409127657226 -0.6261663631 -1.250577359 1.365808970 +-25 -55 2.60693510371892 -0.4302351122 -1.294895636 1.396840962 +-20 -55 2.57574916560841 -0.2359386801 -1.321974906 1.415802071 +-15 -55 2.54099980928658 -0.04475901374 -1.333068317 1.423569761 +-10 -55 2.50304892562433 0.1421763831 -1.329318573 1.420944162 +-5 -55 2.46216739034912 0.3239964436 -1.311729855 1.408628409 +-2.84217e-14 -55 2.41855033195703 0.5000000000 -1.281160449 1.387223481 +5 -55 2.37233424130322 0.6695819972 -1.238331097 1.357234046 +10 -55 2.32361257045686 0.8321722743 -1.183842580 1.319080775 +15 -55 2.27244987265035 0.9871852201 -1.118199994 1.273117342 +20 -55 2.21889490379546 1.133978886 -1.041842674 1.219651371 +25 -55 2.16300040904961 1.271825476 -0.9551850754 1.158973067 +30 -55 2.10484798439163 1.399896302 -0.8586661170 1.091389765 +35 -55 2.04456035536777 1.517256309 -0.7527925698 1.017256309 +40 -55 1.98233182203158 1.622881908 -0.6381985485 0.9370167113 +45 -55 1.91844996409460 1.715697328 -0.5156973285 0.8512404336 + +-45 -50 2.63237089399791 -1.100798447 -0.9007984474 1.343229387 +-40 -50 2.61579856009413 -0.9144046654 -0.9856218414 1.414404665 +-35 -50 2.59435027824199 -0.7263080976 -1.051349465 1.469556690 +-30 -50 2.56889770817931 -0.5390722320 -1.099725899 1.510149338 +-25 -50 2.54012244525788 -0.3544831434 -1.132445014 1.537603936 +-20 -50 2.50853955125527 -0.1737270152 -1.151049761 1.553215172 +-15 -50 2.47452396807268 0.002450032181 -1.156881759 1.558108799 +-10 -50 2.43833490942328 0.1736076760 -1.151062853 1.553226157 +-5 -50 2.40013362568120 0.3395026034 -1.134493638 1.539322935 +-2.84217e-14 -50 2.36000246245744 0.5000000000 -1.107866772 1.516980342 +5 -50 2.31796443918471 0.6550027274 -1.071689281 1.486623822 +10 -50 2.27399815017070 0.8043944202 -1.026306541 1.448543182 +15 -50 2.22804516568804 0.9479907307 -0.9719241681 1.402910953 +20 -50 2.18002335315022 1.085496300 -0.9086378648 1.349807439 +25 -50 2.12985286103290 1.216470724 -0.8364764262 1.289256803 +30 -50 2.07745978938824 1.340294564 -0.7554328785 1.221253192 +35 -50 2.02280134050444 1.456146009 -0.6655180165 1.145805664 +40 -50 1.96589868579459 1.562993273 -0.5668260520 1.062993273 +45 -50 1.90685714316616 1.659598733 -0.4595987332 0.9730188694 + +-45 -45 2.57114431612814 -0.9844508630 -0.7844508630 1.484450863 +-40 -45 2.54948339099359 -0.8009340818 -0.8503928657 1.550392866 +-35 -45 2.52443901150841 -0.6201254132 -0.8997048761 1.599704876 +-30 -45 2.49680995181268 -0.4437054576 -0.9345458000 1.634545800 +-25 -45 2.46716376957343 -0.2725815110 -0.9568063971 1.656806397 +-20 -45 2.43588586853954 -0.1071288884 -0.9680729117 1.668072912 +-15 -45 2.40321915860653 0.05262444082 -0.9696283169 1.669628317 +-10 -45 2.36929673965276 0.2068610586 -0.9624735489 1.662473549 +-5 -45 2.33416647582515 0.3558750577 -0.9473556292 1.647355629 +-2.84217e-14 -45 2.29780506351492 0.5000000000 -0.9247935423 1.624793542 +5 -45 2.26013812565242 0.6395540037 -0.8951095616 1.595109562 +10 -45 2.22105252385002 0.7747975696 -0.8584544603 1.558454460 +15 -45 2.18039690957389 0.9058956850 -0.8148233191 1.514823319 +20 -45 2.13799509302172 1.032881528 -0.7640799662 1.464079966 +25 -45 2.09365770778828 1.155619726 -0.7059810404 1.405981040 +30 -45 2.04719018904365 1.273765161 -0.6402005719 1.340200572 +35 -45 1.99841465767977 1.386721776 -0.5663699372 1.266369937 +40 -45 1.94718322473589 1.493596204 -0.4841218462 1.184121846 +45 -45 1.89342278307657 1.593168153 -0.3931681535 1.093168153 + + diff --git a/test/Kerr-selection-areal-radius-definition-expansion-product-EE.par b/test/Kerr-selection-areal-radius-definition-expansion-product-EE.par new file mode 100644 index 0000000..4682699 --- /dev/null +++ b/test/Kerr-selection-areal-radius-definition-expansion-product-EE.par @@ -0,0 +1,70 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce 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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_definition[1] = "expansion product" +AHFinderDirect::surface_selection[1] = "areal radius" +AHFinderDirect::desired_value[1] = 2.0 + +AHFinderDirect::max_Newton_iterations__initial = 50 diff --git a/test/Kerr-selection-areal-radius-definition-expansion-product-EE/BH_diagnostics.ah1.gp b/test/Kerr-selection-areal-radius-definition-expansion-product-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..5c0b672 --- /dev/null +++ b/test/Kerr-selection-areal-radius-definition-expansion-product-EE/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 +0 0.000 0.000058 0.000023 0.000000 1.140969902 2.861241611 2.095376764 1.334529134 1.661875731e-06 0.000000000 1.334544122 0.000000000 1.216438728 -2.000781311 2.001170701 -2.000951351 2.000972759 -1.909852471 1.909852471 13.15214048 11.54428193 11.91571658 0.8777492869 0.9059906710 50.26548262 1.000000002 2.000000003 0.03194532813 -1.381638850 -0.04412748644 0.7067920892 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6831160239 0.7174976368 35.46808384 diff --git a/test/Kerr-selection-areal-radius-definition-expansion-product-EE/h.t0.ah1.gp b/test/Kerr-selection-areal-radius-definition-expansion-product-EE/h.t0.ah1.gp new file mode 100644 index 0000000..66ab6a1 --- /dev/null +++ b/test/Kerr-selection-areal-radius-definition-expansion-product-EE/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 2.57133705383218 -0.9845621402 -0.7845621402 1.484562140 +-40 -45 2.54971682861270 -0.8010531988 -0.8505348239 1.550534824 +-35 -45 2.52470475191508 -0.6202433256 -0.8998732725 1.599873272 +-30 -45 2.49709949715920 -0.4438148955 -0.9347353519 1.634735352 +-25 -45 2.46746928293399 -0.2726771812 -0.9570115624 1.657011562 +-20 -45 2.43620019725685 -0.1072072328 -0.9682881612 1.668288161 +-15 -45 2.40353576587787 0.05256550223 -0.9698482787 1.669848279 +-10 -45 2.36960956597756 0.2068223545 -0.9626930509 1.662693051 +-5 -45 2.33447008965557 0.3558563108 -0.9475699069 1.647569907 +0 -45 2.29809444065592 0.5000000000 -0.9249981628 1.624998163 +5 -45 2.26040864806137 0.6395707073 -0.8953004848 1.595300485 +10 -45 2.22129992874423 0.7748281795 -0.8586280578 1.558628058 +15 -45 2.18061727016213 0.9059367066 -0.8149764139 1.514976414 +20 -45 2.13818492381227 1.032928842 -0.7642099606 1.464209961 +25 -45 2.09381355924952 1.155668531 -0.7060857013 1.406085701 +30 -45 2.04730920266339 1.273810144 -0.6402784846 1.340278485 +35 -45 1.99849461364543 1.386757254 -0.5664206043 1.266420604 +40 -45 1.94722170205382 1.493615838 -0.4841452450 1.184145245 +45 -45 1.89341880962037 1.593165859 -0.3931658594 1.093165859 + +-45 -40 2.52435037090601 -1.035108963 -0.5881093650 1.535108963 +-40 -40 2.50124083945819 -0.8524614497 -0.6524614497 1.611800791 +-35 -40 2.47458726995842 -0.6696980292 -0.7017175356 1.670501909 +-30 -40 2.44516404433701 -0.4890242235 -0.7374114042 1.713040205 +-25 -40 2.41355454830582 -0.3119064028 -0.7609890085 1.741138900 +-20 -40 2.38018037784897 -0.1392531547 -0.7737388825 1.756333608 +-15 -40 2.34533162066049 0.02842660348 -0.7767615439 1.759935875 +-10 -40 2.30919431324764 0.1908942674 -0.7709632363 1.753025721 +-5 -40 2.27187136050900 0.3480795257 -0.7570620792 1.736458967 +0 -40 2.23339760033816 0.5000000000 -0.7356003050 1.710881821 +5 -40 2.19376149437016 0.6466972526 -0.7069664065 1.676757270 +10 -40 2.15291832795796 0.7881868334 -0.6714149966 1.634388749 +15 -40 2.11079540724723 0.9244154433 -0.6290834682 1.583939998 +20 -40 2.06730632909772 1.055223505 -0.5800163162 1.525464043 +25 -40 2.02236263684483 1.180311607 -0.5241900999 1.458932950 +30 -40 1.97588474404206 1.299209312 -0.4615413989 1.384271135 +35 -40 1.92782743555529 1.411253355 -0.3920081724 1.301404663 +40 -40 1.87818653228520 1.515565890 -0.3155658904 1.210304298 +45 -40 1.82703414274159 1.611056738 -0.2322872992 1.111056738 + +-45 -35 2.47602534858721 -1.069025754 -0.3986436606 1.569025754 +-40 -35 2.45088548164052 -0.8882917766 -0.4584945710 1.654501712 +-35 -35 2.42219741542671 -0.7051469137 -0.5051469137 1.721128163 +-30 -35 2.39070436977375 -0.5221099281 -0.5396098430 1.770346326 +-25 -35 2.35699337916316 -0.3410481708 -0.5629178589 1.803633623 +-20 -35 2.32151214286532 -0.1632985094 -0.5760565911 1.822397677 +-15 -35 2.28459062485593 0.01021195238 -0.5799190770 1.827913879 +-10 -35 2.24646306678852 0.1788566410 -0.5752841336 1.821294493 +-5 -35 2.20728382127844 0.3422163318 -0.5628071960 1.803475580 +0 -35 2.16714572888576 0.5000000000 -0.5430237242 1.775221854 +5 -35 2.12609916042985 0.6519803304 -0.5163607115 1.737143126 +10 -35 2.08416558150516 0.7979421053 -0.4831502317 1.689713645 +15 -35 2.04134469006941 0.9376391198 -0.4436429718 1.633291431 +20 -35 1.99762839499561 1.070758995 -0.3980286654 1.568147450 +25 -35 1.95301517249760 1.196896246 -0.3464593417 1.494498823 +30 -35 1.90751344751759 1.315528870 -0.2890693618 1.412537438 +35 -35 1.86116922900025 1.426011372 -0.2260113721 1.322481295 +40 -35 1.81407050007668 1.527571127 -0.1574822616 1.224611583 +45 -35 1.76636388939772 1.619322318 -0.08375792500 1.119322318 + +-45 -30 2.42705532500984 -1.088880678 -0.2173406869 1.588880678 +-40 -30 2.39943254556047 -0.9105277364 -0.2705266670 1.681001497 +-35 -30 2.36837495641259 -0.7280317655 -0.3125633211 1.753811118 +-30 -30 2.33459714509056 -0.5440635833 -0.3440635833 1.808371173 +-25 -30 2.29868663309850 -0.3607514432 -0.3657236028 1.845887427 +-20 -30 2.26111258571082 -0.1797505402 -0.3782589355 1.867599260 +-15 -30 2.22224134516834 -0.002325710149 -0.3823614781 1.874705072 +-10 -30 2.18235108847101 0.1705658403 -0.3786715682 1.868313961 +-5 -30 2.14164452138605 0.3381969187 -0.3677617968 1.849417682 +0 -30 2.10026780645982 0.5000000000 -0.3501339032 1.818885275 +5 -30 2.05832785632489 0.6555084358 -0.3262225259 1.777469555 +10 -30 2.01590483594785 0.8043084677 -0.2964021106 1.725819080 +15 -30 1.97305814793540 0.9459991879 -0.2609946903 1.664491629 +20 -30 1.92984019163468 1.080161254 -0.2202847501 1.593979945 +25 -30 1.88631268482410 1.206336541 -0.1745376258 1.514743601 +30 -30 1.84254234650873 1.324009988 -0.1240099876 1.427227165 +35 -30 1.79862551920448 1.432609622 -0.06897546322 1.331904572 +40 -30 1.75469156837492 1.531511026 -0.009740710412 1.229306971 +45 -30 1.71091075312788 1.620054005 0.05333651883 1.120054005 + +-45 -25 2.37787118534515 -1.096842593 -0.04461993001 1.596842593 +-40 -25 2.34742207401079 -0.9209572561 -0.08965980417 1.693430915 +-35 -25 2.31374518879850 -0.7397447297 -0.1256158783 1.770538965 +-30 -25 2.27753400527249 -0.5559167616 -0.1528307660 1.828901480 +-25 -25 2.23937767395815 -0.3717485701 -0.1717485701 1.869470842 +-20 -25 2.19976598627311 -0.1891103791 -0.1828673799 1.893315206 +-15 -25 2.15909778452896 -0.009516139784 -0.1867027207 1.901540121 +-10 -25 2.11769004144935 0.1658196017 -0.1837608306 1.895231217 +-5 -25 2.07578924977397 0.3359222148 -0.1745216203 1.875417667 +0 -25 2.03358780821833 0.5000000000 -0.1594313446 1.843056466 +5 -25 1.99123901404159 0.6573946331 -0.1389009478 1.799028888 +10 -25 1.94886891166792 0.8075397137 -0.1133078848 1.744144387 +15 -25 1.90657990608229 0.9499255388 -0.08299815879 1.679144970 +20 -25 1.86446399695613 1.084071897 -0.04829525237 1.604724347 +25 -25 1.82261856927752 1.209511910 -0.009511910448 1.521553202 +30 -25 1.78113995970684 1.325777149 0.03304576237 1.430287978 +35 -25 1.74014076812495 1.432397550 0.07906392824 1.331601703 +40 -25 1.69975274823118 1.528905721 0.1282125753 1.226202089 +45 -25 1.66013103521804 1.614849267 0.1801372493 1.114849267 + +-45 -20 2.32871224128211 -1.094681368 0.1195834490 1.594681368 +-40 -20 2.29520564099906 -0.9211249819 0.08356879998 1.693630803 +-35 -20 2.25875675903715 -0.7415620822 0.05463185233 1.773134413 +-30 -20 2.22004614578167 -0.5586755428 0.03259512312 1.833679829 +-25 -20 2.17966757756470 -0.3748009630 0.01718575521 1.876016719 +-20 -20 2.13812948617748 -0.1919320076 0.008067992377 1.901067567 +-15 -20 2.09585847526657 -0.01174342715 0.004870548877 1.909852471 +-10 -20 2.05320420934763 0.1643740808 0.007208437771 1.903429174 +-5 -20 2.01044877707701 0.3352718295 0.01469806024 1.882851605 +0 -20 1.96782044234031 0.5000000000 0.02696577027 1.849146349 +5 -20 1.92550627101736 0.6577683197 0.04365242348 1.803300146 +10 -20 1.88366219204287 0.8079118247 0.06441525553 1.746254734 +15 -20 1.84241521242628 0.9498604682 0.08892960070 1.678902124 +20 -20 1.80187609701772 1.083115173 0.1168848270 1.602095771 +25 -20 1.76215339742669 1.207233298 0.1479784653 1.516666702 +30 -20 1.72334533055256 1.321813347 0.1819165897 1.423422471 +35 -20 1.68555748565603 1.426493857 0.2184053759 1.323170355 +40 -20 1.64889936794589 1.520950821 0.2571494780 1.216721809 +45 -20 1.61348886391642 1.604902780 0.2978482764 1.104902780 + +-45 -15 2.27968192151790 -1.083801243 0.2756217361 1.583801243 +-40 -15 2.24299346242137 -0.9123232976 0.2490036308 1.683141364 +-35 -15 2.20371878767119 -0.7346114381 0.2275498766 1.763207864 +-30 -15 2.16253177942071 -0.5532794281 0.2111713162 1.824333484 +-25 -15 2.12003222691471 -0.3706591971 0.1997027720 1.867134674 +-20 -15 2.07674312421618 -0.1887894985 0.1929239468 1.892433594 +-15 -15 2.03311149212126 -0.009422122584 0.1905778774 1.901189244 +-10 -15 1.98951076816459 0.1659593158 0.1923866375 1.894438859 +-5 -15 1.94624699000766 0.3361115822 0.1980633213 1.873253187 +0 -15 1.90357096332076 0.5000000000 0.2073195810 1.838708356 +5 -15 1.86168867327237 0.6567679810 0.2198708929 1.791866222 +10 -15 1.82076927405362 0.8057088325 0.2354401553 1.733760944 +15 -15 1.78094639047028 0.9462389269 0.2537610731 1.665386347 +20 -15 1.74233170943064 1.077875891 0.2745768091 1.587700963 +25 -15 1.70502553033671 1.200223393 0.2976384059 1.501633912 +30 -15 1.66910921733530 1.312953788 0.3227068339 1.408077265 +35 -15 1.63466362618937 1.415803968 0.3495482835 1.307903612 +40 -15 1.60176320087023 1.508566241 0.3779351345 1.201962442 +45 -15 1.57048181248439 1.591086885 0.4076441503 1.091086885 + +-45 -10 2.23078821189917 -1.065285738 0.4239978919 1.565285738 +-40 -10 2.19089193905636 -0.8956042930 0.4067300686 1.663216430 +-35 -10 2.14883308790288 -0.7198610266 0.3928133447 1.742142094 +-30 -10 2.10528182426131 -0.5405785113 0.3821997375 1.802334851 +-25 -10 2.06084180160754 -0.3600367508 0.3747904931 1.844354764 +-20 -10 2.01604287095730 -0.1802525943 0.3704486390 1.868978642 +-15 -10 1.97134206023833 -0.002977710822 0.3690098585 1.877138372 +-10 -10 1.92712402333353 0.1702924561 0.3702924561 1.869864399 +-5 -10 1.88370391265486 0.3383000630 0.3741056438 1.848238737 +0 -10 1.84133893945940 0.5000000000 0.3802548487 1.813364864 +5 -10 1.80023808354809 0.6545351065 0.3885458340 1.766344349 +10 -10 1.76056730972032 0.8012117106 0.3987882894 1.708256498 +15 -10 1.72245199425355 0.9394747003 0.4107987291 1.640141910 +20 -10 1.68599114307262 1.068886637 0.4244003667 1.563003190 +25 -10 1.65126336069170 1.189110234 0.4394236943 1.477801665 +30 -10 1.61832368901161 1.299889514 0.4557079118 1.385449279 +35 -10 1.58722062245806 1.401041867 0.4730987125 1.286821147 +40 -10 1.55798946830328 1.492443649 0.4914495661 1.182748284 +45 -10 1.53066111699795 1.574024869 0.5106204377 1.074024869 + +-45 -5 2.18197088376661 -1.039942440 0.5652724940 1.539942440 +-40 -5 2.13893107728769 -0.8718009817 0.5569692679 1.634848748 +-35 -5 2.09421990667458 -0.6981222998 0.5502985000 1.711095974 +-30 -5 2.04850293913927 -0.5213241073 0.5452338451 1.768985245 +-25 -5 2.00237977110448 -0.3435945037 0.5417247618 1.809094251 +-20 -5 1.95637641633756 -0.1668702870 0.5397023035 1.832211055 +-15 -5 1.91094464496416 0.007167788451 0.5390843012 1.839274853 +-10 -5 1.86646355486877 0.1770883500 0.5397800009 1.831322970 +-5 -5 1.82324075450125 0.3416942155 0.5416942155 1.809443397 +0 -5 1.78152311497132 0.5000000000 0.5447300297 1.774743882 +5 -5 1.74150605583267 0.6512090390 0.5487909610 1.728327225 +10 -5 1.70333820339087 0.7946897882 0.5537829229 1.671268838 +15 -5 1.66712487755967 0.9299511462 0.5596157323 1.604599522 +20 -5 1.63294357504036 1.056621692 0.5662031031 1.529305529 +25 -5 1.60084446683580 1.174429303 0.5734635442 1.446318308 +30 -5 1.57085425992351 1.283182340 0.5813206127 1.356511604 +35 -5 1.54298896582655 1.382758053 0.5897022410 1.260709154 +40 -5 1.51724927976852 1.473086077 0.5985412492 1.159678828 +45 -5 1.49363019130020 1.554140795 0.6077746307 1.054140795 + +-45 0 2.13312225673421 -1.008345213 0.7000000000 1.508345213 +-40 0 2.08708884387437 -0.8415548492 0.7000000000 1.598802811 +-35 0 2.03994416066868 -0.6700639020 0.7000000000 1.671024429 +-30 0 1.99234280395341 -0.4961714020 0.7000000000 1.725419481 +-25 0 1.94486732171735 -0.3219364468 0.7000000000 1.762648398 +-20 0 1.89802316296203 -0.1491621542 0.7000000000 1.783558360 +-15 0 1.85223880687887 0.02060532070 0.7000000000 1.789125300 +-10 0 1.80786827234987 0.1860669690 0.7000000000 1.780402691 +-5 0 1.76519341452955 0.3461532569 0.7000000000 1.758476321 +0 0 1.72443302891416 0.5000000000 0.7000000000 1.724433029 +5 0 1.68575455487845 0.6469231903 0.7000000000 1.679339750 +10 0 1.64927890370699 0.7863942761 0.7000000000 1.624222651 +15 0 1.61508434243070 0.9180145873 0.7000000000 1.560051678 +20 0 1.58322102861967 1.041493483 0.7000000000 1.487741118 +25 0 1.55371101779885 1.156626650 0.7000000000 1.408140394 +30 0 1.52655615186700 1.263278076 0.7000000000 1.322036408 +35 0 1.50174536884080 1.361365757 0.7000000000 1.230157789 +40 0 1.47925404194743 1.450846170 0.7000000000 1.133174339 +45 0 1.45905247796134 1.531705901 0.7000000000 1.031705901 + +-45 5 2.08410967695802 -0.9708761537 0.8286849889 1.470876154 +-40 5 2.03531639014815 -0.8053478215 0.8361019980 1.555652956 +-35 5 1.98603948382953 -0.6362312937 0.8419684192 1.622706457 +-30 5 1.93691179073470 -0.4656879997 0.8463353479 1.672620680 +-25 5 1.88848092972790 -0.2956093822 0.8492722676 1.706189826 +-20 5 1.84121055981516 -0.1276136863 0.8508614646 1.724354431 +-15 5 1.79548392314110 0.03694508369 0.8511930504 1.728144474 +-10 5 1.75160908763566 0.1969590008 0.8503607213 1.718630909 +-5 5 1.70982358947914 0.3515418416 0.8484581584 1.696884515 +0 5 1.67030258054401 0.5000000000 0.8455764620 1.663946575 +5 5 1.63317406599131 0.6418029413 0.8418029413 1.620815036 +10 5 1.59852359376147 0.7765561052 0.8372196356 1.568427611 +15 5 1.56639796102720 0.9039736961 0.8319023150 1.507650359 +20 5 1.53681994709224 1.023856018 0.8259209094 1.439282581 +25 5 1.50978807836454 1.136067615 0.8193390341 1.364051402 +30 5 1.48528690540628 1.240520940 0.8122147002 1.282619893 +35 5 1.46328760851837 1.337160180 0.8046004525 1.195588643 +40 5 1.44375314369649 1.425949415 0.7965440501 1.103503542 +45 5 1.42664293156549 1.506864030 0.7880891883 1.006864030 + +-45 10 2.03478156432311 -0.9277530002 0.9517513757 1.427753000 +-40 10 1.98354556700781 -0.7635240741 0.9655148170 1.505809355 +-35 10 1.93252013036932 -0.5970633333 0.9762636142 1.566768813 +-30 10 1.88229580593462 -0.4303631205 0.9841396787 1.611436194 +-25 10 1.83336400190845 -0.2651050255 0.9893125530 1.640773022 +-20 10 1.78612248486508 -0.1026729251 0.9919675491 1.655830253 +-15 10 1.74088583733166 0.05582200019 0.9922963301 1.657694863 +-10 10 1.69789541227897 0.2095106909 0.9904893091 1.647446738 +-5 10 1.65732718928255 0.3577325766 0.9867295511 1.626124090 +0 10 1.61930018069248 0.5000000000 0.9811885255 1.594699372 +5 10 1.58389437622949 0.6359638418 0.9740251451 1.554073823 +10 10 1.55115429877970 0.7653836846 0.9653836846 1.505065666 +15 10 1.52109497244151 0.8880994996 0.9553932421 1.448407051 +20 10 1.49371599181916 1.004009212 0.9441694793 1.384753929 +25 10 1.46899947121502 1.113047315 0.9318142971 1.314684209 +30 10 1.44692140186790 1.215170435 0.9184182640 1.238711530 +35 10 1.42744762157084 1.310341078 0.9040609217 1.157286995 +40 10 1.41054376272566 1.398520322 0.8888135444 1.070814822 +45 10 1.39617229516913 1.479657580 0.8727400632 0.9796575801 + +-45 15 1.98498032040503 -0.8790583100 1.069517560 1.379058310 +-40 15 1.93170214034653 -0.7163155990 1.088405346 1.449548485 +-35 15 1.87939230516171 -0.5529107659 1.102918526 1.503712412 +-30 15 1.82856795477242 -0.3906195174 1.113337956 1.542598254 +-25 15 1.77963756256304 -0.2308652160 1.119968965 1.567345514 +-20 15 1.73290901730071 -0.07475068487 1.123122463 1.579114528 +-15 15 1.68860548900971 0.07689826861 1.123101731 1.579037158 +-10 15 1.64688283202036 0.2234868608 1.120193620 1.568183939 +-5 15 1.60784136114408 0.3646078437 1.114661940 1.547539428 +0 15 1.57153457689701 0.5000000000 1.106743079 1.517985835 +5 15 1.53798829774495 0.6295100108 1.096646850 1.480306197 +10 15 1.50720518337701 0.7530611338 1.084555592 1.435181007 +15 15 1.47917143457554 0.8706253468 1.070625347 1.383192625 +20 15 1.45386836905800 0.9822017962 1.054989419 1.324838547 +25 15 1.43127019850084 1.087796990 1.037759258 1.260534713 +30 15 1.41135322878434 1.187411550 1.019028810 1.190631730 +35 15 1.39409236442650 1.281026322 0.9988762056 1.115421185 +40 15 1.37946877581614 1.368596330 0.9773683560 1.035152797 +45 15 1.36746396422149 1.450040927 0.9545626991 0.9500409269 + +-45 20 1.93455607063863 -0.8247667386 1.182175660 1.324766739 +-40 20 1.87972602495669 -0.6638720146 1.204844424 1.387048655 +-35 20 1.82667276717677 -0.5040601474 1.221913843 1.433946498 +-30 20 1.77580655250350 -0.3468305803 1.233854648 1.466753590 +-25 20 1.72741952154152 -0.1932929941 1.241140616 1.486771624 +-20 20 1.68170566701757 -0.04422614997 1.244226150 1.495249058 +-15 20 1.63877752082187 0.09986151988 1.243530268 1.493337138 +-10 20 1.59869081235281 0.2386708682 1.239429785 1.482071154 +-5 20 1.56146075012442 0.3720601213 1.232255332 1.462359506 +0 20 1.52707061403769 0.5000000000 1.222288910 1.434976987 +5 20 1.49549089442236 0.6225345713 1.209768178 1.400576559 +10 20 1.46668359766700 0.7397506436 1.194887949 1.359693466 +15 20 1.44060999924886 0.8517521373 1.177804418 1.312756848 +20 20 1.41723800045015 0.9586402934 1.158640293 1.260103850 +25 20 1.39654171530019 1.060496495 1.137488077 1.201988612 +30 20 1.37850660704995 1.157369773 1.114415725 1.138597846 +35 20 1.36313022086479 1.249266511 1.089471253 1.070063474 +40 20 1.35042034825750 1.336141241 1.062686995 0.9964743279 +45 20 1.34039376714903 1.417889694 1.034084527 0.9178896938 + +-45 25 1.88337170452146 -0.7647649607 1.289769587 1.264764961 +-40 25 1.82757608814377 -0.6062806013 1.314786489 1.318413881 +-35 25 1.77439635287809 -0.4507522858 1.333159524 1.357814982 +-30 25 1.72409769645350 -0.2993310537 1.345594558 1.384481997 +-25 25 1.67682434612691 -0.1527568990 1.352756899 1.399841687 +-20 25 1.63263134107456 -0.01144676723 1.355250133 1.405188444 +-15 25 1.59150848720859 0.1244268015 1.353603980 1.401658259 +-10 25 1.55340253284215 0.2548665447 1.348270656 1.390220909 +-5 25 1.51823997793394 0.3799928976 1.339628366 1.371687457 +0 25 1.48593417019964 0.5000000000 1.327982916 1.346713709 +5 25 1.45640255985307 0.6151192523 1.313576512 1.315819075 +10 25 1.42957022187196 0.7255921956 1.296592581 1.279396918 +15 25 1.40537750158995 0.8316489529 1.277163324 1.237730743 +20 25 1.38378370927790 0.9334914361 1.255376120 1.191007932 +25 25 1.36476911787312 1.031279534 1.231279534 1.139332637 +30 25 1.34833686635724 1.125119754 1.204889569 1.082739175 +35 25 1.33451318220451 1.215055267 1.176195598 1.021204755 +40 25 1.32334355867299 1.301055189 1.145165455 0.9546603988 +45 25 1.31489510695896 1.383008518 1.111753634 0.8830085183 + +-45 30 1.83132015467130 -0.6988804615 1.392173957 1.198880461 +-40 30 1.77525046949936 -0.5435967583 1.418056411 1.243710186 +-35 30 1.72263325275988 -0.3932066896 1.436486105 1.275631353 +-30 30 1.67355079063562 -0.2484346663 1.448434666 1.296326868 +-25 30 1.62797261827171 -0.1096001780 1.454765273 1.307291800 +-20 30 1.58579787578836 0.02326701044 1.456220960 1.309813124 +-15 30 1.54688601201046 0.1503347325 1.453423940 1.304968544 +-10 30 1.51107488307069 0.2718975251 1.446879603 1.293633419 +-5 30 1.47820477214496 0.3883203610 1.436989994 1.276504115 +0 30 1.44812403799124 0.5000000000 1.424062019 1.254112205 +5 30 1.42070242790222 0.6073352875 1.408320994 1.226847950 +10 30 1.39583283606750 0.7107062516 1.389918869 1.194974534 +15 30 1.37343874895437 0.8104584461 1.368944981 1.158646695 +20 30 1.35347526716148 0.9068906386 1.345433054 1.117922842 +25 30 1.33593261549706 1.000244753 1.319368860 1.072778335 +30 30 1.32083334042229 1.090694627 1.290694627 1.023113106 +35 30 1.30823733999908 1.178337273 1.259317325 0.9687660249 +40 30 1.29823743752350 1.263180410 1.225113346 0.9095229955 +45 30 1.29095986896016 1.345131617 1.187936967 0.8451316170 + +-45 35 1.77833985552869 -0.6269113357 1.489071812 1.126911336 +-40 35 1.72279120969932 -0.4758664316 1.514335993 1.162992326 +-35 35 1.67149298465019 -0.3316393201 1.531639320 1.187704037 +-30 35 1.62430279204117 -0.1944463862 1.542221127 1.202816424 +-25 35 1.58099846970349 -0.06414917530 1.547126352 1.209821811 +-20 35 1.54131633264882 0.05961771333 1.547209381 1.209940389 +-15 35 1.50498611425615 0.1773495424 1.543153437 1.204147901 +-10 35 1.47174545168651 0.2896064774 1.535488306 1.193200960 +-5 35 1.44135725348068 0.3969671990 1.524613624 1.177670304 +0 35 1.41361443470420 0.5000000000 1.510815930 1.157965154 +5 35 1.38834731744587 0.5992434821 1.494286157 1.134358191 +10 35 1.36542355419520 0.6951942648 1.475130925 1.107001685 +15 35 1.34475422315752 0.7882987168 1.453385121 1.075945459 +20 35 1.32629113200342 0.8789456513 1.429017311 1.041144620 +25 35 1.31003309125425 0.9674603437 1.401938411 1.002471942 +30 35 1.29602215406225 1.054094905 1.372003548 0.9597205277 +35 35 1.28435138250603 1.139019799 1.339019799 0.9126148517 +40 35 1.27516293732711 1.222309644 1.302749231 0.8608151132 +45 35 1.26864701593284 1.303925469 1.262914674 0.8039254695 + +-45 40 1.72444354789910 -0.5486693043 1.579938026 1.048669304 +-40 40 1.67031182185957 -0.4031646662 1.603164666 1.076349736 +-35 40 1.62113647733667 -0.2662854188 1.618284619 1.094368993 +-30 40 1.57652328642139 -0.1376748925 1.626773218 1.104485313 +-25 40 1.53604844734984 -0.01671820316 1.629811137 1.108105763 +-20 40 1.49929397987985 0.09732950691 1.628319490 1.106328087 +-15 40 1.46587118034925 0.2052588021 1.623000470 1.099989126 +-10 40 1.43543380772768 0.3078547067 1.614375350 1.089710109 +-5 40 1.40768227300692 0.4058680160 1.602815404 1.075933501 +0 40 1.38236688625114 0.5000000000 1.588568307 1.058954472 +5 40 1.35928852834806 0.5908958850 1.571778131 1.038944720 +10 40 1.33829622530647 0.6791425835 1.552498439 1.015968077 +15 40 1.31929080106292 0.7652684331 1.530704666 0.9899952699 +20 40 1.30222156472399 0.8497420830 1.506297948 0.9609084757 +25 40 1.28709283243971 0.9329709111 1.479111656 0.9285091151 +30 40 1.27396383663521 1.015295118 1.448910958 0.8925173249 +35 40 1.26295325633983 1.096977909 1.415393532 0.8525728113 +40 40 1.25424566743961 1.178190955 1.378190955 0.8082365071 +45 40 1.24809366466330 1.258991222 1.336869254 0.7589912216 + +-45 45 1.66973758774133 -0.4640234458 1.664023446 0.9640234458 +-40 45 1.61801009656495 -0.3256278455 1.683944951 0.9839449510 +-35 45 1.57178775327415 -0.1974220405 1.696021897 0.9960218970 +-30 45 1.53041923423919 -0.07844409935 1.701894569 1.001894569 +-25 45 1.49328816761732 0.03238336134 1.702807118 1.002807118 +-20 45 1.45984257251805 0.1361436265 1.699687170 0.9996871701 +-15 45 1.42959926246277 0.2338703933 1.693209214 0.9932092135 +-10 45 1.40214979313937 0.3265203766 1.683851834 0.9838518340 +-5 45 1.37715225942888 0.4149666521 1.671935614 0.9719356140 +0 45 1.35433007966219 0.5000000000 1.657655983 0.9576559833 +5 45 1.33346585107373 0.5823358963 1.641103601 0.9411036011 +10 45 1.31439687006652 0.6626224781 1.622277903 0.9222779033 +15 45 1.29701644507993 0.7414484153 1.601097753 0.9010977532 +20 45 1.28127041993990 0.8193484128 1.577402553 0.8774025531 +25 45 1.26716245676673 0.8968063643 1.550953994 0.8509539944 +30 45 1.25475872728032 0.9742542211 1.521432407 0.8214324067 +35 45 1.24419325714789 1.052064233 1.488429434 0.7884294337 +40 45 1.23567986221124 1.130534818 1.451442135 0.7514421351 +45 45 1.22952401754436 1.209866023 1.409866023 0.7098660225 + + +### +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 1.89341904851461 1.593165997 -0.3931659973 1.093165997 +45 -40 1.82703425253581 1.611056805 -0.2322873552 1.111056805 +45 -35 1.76636403005968 1.619322407 -0.08375798742 1.119322407 +45 -30 1.71091090107139 1.620054102 0.05333646291 1.120054102 +45 -25 1.66013107024897 1.614849290 0.1801372383 1.114849290 +45 -20 1.61348893501571 1.604902828 0.2978482587 1.104902828 +45 -15 1.57048183123359 1.591086898 0.4076441468 1.091086898 +45 -10 1.53066114295920 1.574024887 0.5106204345 1.074024887 +45 -5 1.49363020743355 1.554140806 0.6077746297 1.054140806 +45 0 1.45905248997434 1.531705910 0.7000000000 1.031705910 +45 5 1.42664293735843 1.506864034 0.7880891887 1.006864034 +45 10 1.39617229915994 1.479657583 0.8727400637 0.9796575829 +45 15 1.36746397422457 1.450040934 0.9545627010 0.9500409339 +45 20 1.34039377993349 1.417889703 1.034084530 0.9178897025 +45 25 1.31489514950036 1.383008547 1.111753648 0.8830085469 +45 30 1.29095989960992 1.345131637 1.187936978 0.8451316370 +45 35 1.26864701761199 1.303925471 1.262914675 0.8039254705 +45 40 1.24809366747448 1.258991223 1.336869256 0.7589912233 +45 45 1.22952404866490 1.209866040 1.409866040 0.7098660405 + +50 -45 1.90680312808908 1.659565886 -0.4595658856 0.9729913069 +50 -40 1.83712237507947 1.683842536 -0.2933618352 0.9933618352 +50 -35 1.77269904448999 1.696683250 -0.1379266328 1.004136474 +50 -30 1.71328289269921 1.700296759 0.007008343052 1.007168568 +50 -25 1.65852490261851 1.696460310 0.1420813946 1.003949405 +50 -20 1.60803067659781 1.686564828 0.2681257217 0.9956461092 +50 -15 1.56140089277402 1.671674582 0.3860507419 0.9831517098 +50 -10 1.51825972800195 1.652587437 0.4967677372 0.9671356933 +50 -5 1.47826116718600 1.629879052 0.6011483918 0.9480810962 +50 0 1.44110559359489 1.603950932 0.7000000000 0.9263248198 +50 5 1.40653515075264 1.575056721 0.7940552757 0.9020796982 +50 10 1.37434362107388 1.543333471 0.8839678408 0.8754607306 +50 15 1.34437341621522 1.508817254 0.9703117685 0.8464981857 +50 20 1.31651836868367 1.471458078 1.053581824 0.8151501153 +50 25 1.29072858944259 1.431131951 1.134193960 0.7813124768 +50 30 1.26700946973466 1.387645214 1.212482203 0.7448227718 +50 35 1.24543132495102 1.340744407 1.288695571 0.7054683214 +50 40 1.22613284595188 1.290120591 1.362989897 0.6629898969 +50 45 1.20932380376334 1.235414478 1.435414478 0.6170860174 + +55 -45 1.91835074570927 1.715634455 -0.5156344551 0.8511964091 +55 -40 1.84606826675439 1.746212086 -0.3456961017 0.8726070968 +55 -35 1.77853341372105 1.763763196 -0.1848965162 0.8848965162 +55 -30 1.71571982693006 1.770511876 -0.03353037338 0.8896219927 +55 -25 1.65746810451164 1.768338396 0.1085640928 0.8881001059 +55 -20 1.60353533664303 1.758782592 0.2418406051 0.8814090599 +55 -15 1.55364213438015 1.743077858 0.3669182919 0.8704124866 +55 -10 1.50750030320212 1.722188801 0.4844951389 0.8557858113 +55 -5 1.46482952813000 1.696848478 0.5952893262 0.8380423266 +55 0 1.42537757291843 1.667600953 0.7000000000 0.8175629887 +55 5 1.38892043560798 1.634826461 0.7992844504 0.7946140428 +55 10 1.35527669699007 1.598775236 0.8937437198 0.7693707027 +55 15 1.32430611140349 1.559584809 0.9839148939 0.7419292706 +55 20 1.29591469605940 1.517298979 1.070266548 0.7123204134 +55 25 1.27005841965450 1.471882267 1.153196144 0.6805192896 +55 30 1.24674166266977 1.423227711 1.233025767 0.6464510026 +55 35 1.22602598712122 1.371170880 1.310000417 0.6100004174 +55 40 1.20802798819431 1.315494804 1.384281389 0.5710156090 +55 45 1.19291980598072 1.255938100 1.455938100 0.5293135562 + +60 -45 1.92812178502768 1.762252004 -0.5622520041 0.7287615344 +60 -40 1.85381974028265 1.798754476 -0.3897844021 0.7498362465 +60 -35 1.78375268575806 1.820891054 -0.2248978731 0.7626168055 +60 -30 1.71808478040944 1.830822748 -0.06835087202 0.7683508720 +60 -25 1.65682875250630 1.830463804 0.07959453917 0.7681436355 +60 -20 1.59989220286137 1.821454541 0.2190298811 0.7629421350 +60 -15 1.54712121227387 1.805166961 0.3502815667 0.7535384965 +60 -10 1.49832317993108 1.782716667 0.4738224430 0.7405768131 +60 -5 1.45329252605429 1.754991138 0.5902025026 0.7245694715 +60 0 1.41183126206456 1.722681739 0.7000000000 0.7059156310 +60 5 1.37375371268759 1.686305375 0.8037882718 0.6849137277 +60 10 1.33890430425608 1.646237934 0.9021126741 0.6617807800 +60 15 1.30715642006402 1.602730258 0.9954756820 0.6366616110 +60 20 1.27842186601342 1.555931379 1.084327591 0.6096422660 +60 25 1.25265185880779 1.505902363 1.169059975 0.5807580001 +60 30 1.22983687037648 1.452627544 1.249999769 0.5499997687 +60 35 1.21001522481950 1.396031327 1.327407889 0.5173239277 +60 40 1.19326769650243 1.335982986 1.401473015 0.4826550021 +60 45 1.17971806405735 1.272306761 1.472306761 0.4458915164 + +65 -45 1.93619452404125 1.800237752 -0.6002377519 0.6063108211 +65 -40 1.86035158029081 1.842058130 -0.4261204818 0.6258119836 +65 -35 1.78826760597534 1.868429631 -0.2581847433 0.6381092167 +65 -30 1.72025750810455 1.881398256 -0.09755065474 0.6441565856 +65 -25 1.65648378301619 1.882861037 0.05516130839 0.6448386916 +65 -20 1.59699341671499 1.874515261 0.1997173583 0.6409469927 +65 -15 1.54175375018786 1.857838739 0.3361682065 0.6331706024 +65 -10 1.49066807332806 1.834076570 0.4647663063 0.6220901213 +65 -5 1.44360834398408 1.804259858 0.5858920481 0.6081863601 +65 0 1.40043351728604 1.769223802 0.7000000000 0.5918487788 +65 5 1.36099699021462 1.729622805 0.8075780559 0.5733825307 +65 10 1.32516737776302 1.685961370 0.9091169876 0.5530228691 +65 15 1.29282826390696 1.638607446 1.005088946 0.5309413715 +65 20 1.26389107931187 1.587817620 1.095933234 0.5072576868 +65 25 1.23829551266921 1.533750305 1.182045684 0.4820456840 +65 30 1.21601060733094 1.476478768 1.263770279 0.4553395274 +65 35 1.19704290894221 1.416008869 1.341396315 0.4271419504 +65 40 1.18143040990129 1.352284215 1.415151371 0.3974266564 +65 45 1.16924518346862 1.285198341 1.485198341 0.3661439997 + +70 -45 1.94265522206285 1.830312965 -0.6303129652 0.4841943216 +70 -40 1.86566685702217 1.876674403 -0.4551669842 0.5010685051 +70 -35 1.79202126811103 1.906744912 -0.2850133920 0.5120132753 +70 -30 1.72214895553748 1.922434308 -0.1212428304 0.5177237481 +70 -25 1.65633613263882 1.925590906 0.03523604295 0.5188726562 +70 -20 1.59475115147627 1.917935495 0.1839136858 0.5160863142 +70 -15 1.53746900220087 1.901019681 0.3245979079 0.5099294615 +70 -10 1.48448354330058 1.876194960 0.4573396979 0.5008940019 +70 -5 1.43574035390944 1.844618207 0.5823611501 0.4894010038 +70 0 1.39115265506518 1.807255884 0.7000000000 0.4758022305 +70 5 1.35061175345080 1.764892464 0.8106637512 0.4603832065 +70 10 1.31400798633503 1.718155079 0.9147936071 0.4433721894 +70 15 1.28123183793846 1.667523390 1.012836949 0.4249437616 +70 20 1.25219012165378 1.613355409 1.105228229 0.4052282289 +70 25 1.22680633716372 1.555899176 1.192373872 0.3843158706 +70 30 1.20502422428037 1.495307515 1.274641062 0.3622623095 +70 35 1.18681573501998 1.431655794 1.352352410 0.3390949776 +70 40 1.17217605020428 1.364947972 1.425777524 0.3148153160 +70 45 1.16112877865694 1.295130629 1.495130629 0.2894038813 + +75 -45 1.94758646279249 1.853079055 -0.6530790549 0.3625564401 +75 -40 1.86977619929533 1.903079284 -0.4773233100 0.3759539612 +75 -35 1.79497104160808 1.936166481 -0.3056145963 0.3848196488 +75 -30 1.72368552879006 1.954118389 -0.1395356430 0.3896298479 +75 -25 1.65630173532435 1.958722354 0.01978659535 0.3908634767 +75 -20 1.59308616278438 1.951700857 0.1716240991 0.3889820722 +75 -15 1.53420250892259 1.934652905 0.3155859127 0.3844140873 +75 -10 1.47972254384270 1.909011669 0.4515532266 0.3775435389 +75 -5 1.42965604507692 1.876036935 0.5796123676 0.3687079855 +75 0 1.38396375601594 1.836806335 0.7000000000 0.3581961778 +75 5 1.34256925947690 1.792216331 0.8130542798 0.3462483223 +75 10 1.30538119911311 1.743001500 0.9191747016 0.3330612482 +75 15 1.27229430784611 1.689739108 1.018789633 0.3187896332 +75 20 1.24320874976400 1.632874824 1.112332715 0.3035528943 +75 25 1.21803080133854 1.572732534 1.200223396 0.2874378161 +75 30 1.19668019892116 1.509531410 1.282853231 0.2705031261 +75 35 1.17909678601750 1.443402006 1.360577196 0.2527838058 +75 40 1.16523786120201 1.374394008 1.433703689 0.2342931682 +75 45 1.15508581466915 1.302491932 1.502491932 0.2150270650 + +80 -45 1.95105589908383 1.869004891 -0.6690048909 0.2413924990 +80 -40 1.87269512075696 1.921657197 -0.4929120298 0.2506765212 +80 -35 1.79709192283799 1.956971927 -0.3201827262 0.2569034609 +80 -30 1.72481696361491 1.976618327 -0.1525259885 0.2603676512 +80 -25 1.65632010194850 1.982327206 0.008779471764 0.2613742807 +80 -20 1.59193960010390 1.975812422 0.1628482070 0.2602255485 +80 -15 1.53190502860118 1.958700532 0.3091423706 0.2572082605 +80 -10 1.47634794309213 1.932481992 0.4474147754 0.2525852246 +80 -5 1.42532805339616 1.898492886 0.5776477264 0.2465920282 +80 0 1.37884319736891 1.857895471 0.7000000000 0.2394336085 +80 5 1.33684187377435 1.811672668 0.8147564887 0.2312832812 +80 10 1.29924609783938 1.760642281 0.9222852472 0.2222852472 +80 15 1.26595319509873 1.705457626 1.023001397 0.2125547035 +80 20 1.23685676612775 1.646631807 1.117339847 0.2021821245 +80 25 1.21184831566182 1.584546234 1.205732214 0.1912347628 +80 30 1.19082753324704 1.519469194 1.288590814 0.1797599249 +80 35 1.17370832293315 1.451570732 1.366297000 0.1677875942 +80 40 1.16041866582196 1.380932262 1.439189936 0.1553321259 +80 45 1.15090985647305 1.307563342 1.507563342 0.1423952058 + +85 -45 1.95311699448309 1.878427078 -0.6784270782 0.1205967428 +85 -40 1.87444009580669 1.932690411 -0.5021699955 0.1253441693 +85 -35 1.79836977897340 1.969369706 -0.3288637447 0.1285531918 +85 -30 1.72550907305302 1.990063808 -0.1602887407 0.1303636911 +85 -25 1.65634821266516 1.996464393 0.002187193171 0.1309236698 +85 -20 1.59126901714652 1.990275931 0.1575839203 0.1303822495 +85 -15 1.53054143721443 1.973138630 0.3052736936 0.1288829300 +85 -10 1.47433450297015 1.946576674 0.4449295028 0.1265590599 +85 -5 1.42273953244310 1.911972964 0.5764683724 0.1235316276 +85 0 1.37577790382116 1.870542654 0.7000000000 0.1199069451 +85 5 1.33341382848307 1.823323232 0.8157757809 0.1157757809 +85 10 1.29557741821269 1.771185113 0.9241442329 0.1112142866 +85 15 1.26216729902118 1.714829838 1.025512674 0.1062838389 +85 20 1.23307234568384 1.654812931 1.120317533 0.1010330400 +85 25 1.20817397116238 1.591551472 1.208998810 0.09549837942 +85 30 1.18735893814520 1.525344119 1.291982703 0.08970598665 +85 35 1.17052458223603 1.456384711 1.369667784 0.08367282019 +85 40 1.15758043593608 1.384773215 1.442412879 0.07740762614 +85 45 1.14845853500592 1.310533290 1.510533290 0.07091247426 + +90 -45 1.95379888820367 1.881544443 -0.6815444429 0.000000000 +90 -40 1.87501887552660 1.936347790 -0.5052389011 0.000000000 +90 -35 1.79879474634852 1.973486394 -0.3317462803 0.000000000 +90 -30 1.72574010181293 1.994534768 -0.1628700509 0.000000000 +90 -25 1.65635860369942 2.001170701 -7.393914702e-06 0.000000000 +90 -20 1.59104657334275 1.995094724 0.1558300229 0.000000000 +90 -15 1.53008762151644 1.977951150 0.3039841829 0.000000000 +90 -10 1.47366351799781 1.951275258 0.4441010156 0.000000000 +90 -5 1.42187640109116 1.916465732 0.5760753062 0.000000000 +90 0 1.37475571746364 1.874755717 0.7000000000 0.000000000 +90 5 1.33227104441516 1.827201351 0.8161150724 0.000000000 +90 10 1.29435520760201 1.774691044 0.9247624231 0.000000000 +90 15 1.26090720222563 1.717942831 1.026346798 0.000000000 +90 20 1.23181420089065 1.657526715 1.121305270 0.000000000 +90 25 1.20695408767316 1.593871888 1.210080839 0.000000000 +90 30 1.18620910342472 1.527287218 1.293104552 0.000000000 +90 35 1.16947087879463 1.457974461 1.370780939 0.000000000 +90 40 1.15664265774500 1.386039681 1.443475569 0.000000000 +90 45 1.14764996241749 1.311511071 1.511511071 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 1.22952408609016 1.209866062 1.409866062 0.7098660621 +40 45 1.23567986596201 1.130534820 1.451442137 0.7514421373 +35 45 1.24419327370650 1.052064240 1.488429444 0.7884294442 +30 45 1.25475875978410 0.9742542334 1.521432428 0.8214324279 +25 45 1.26716248621262 0.8968063735 1.550954014 0.8509540141 +20 45 1.28127045064169 0.8193484204 1.577402574 0.8774025741 +15 45 1.29701645775584 0.7414484176 1.601097762 0.9010977620 +10 45 1.31439687781677 0.6626224790 1.622277909 0.9222779087 +5 45 1.33346585708553 0.5823358967 1.641103605 0.9411036054 +0 45 1.35433008882162 0.5000000000 1.657655990 0.9576559898 +-5 45 1.37715227381138 0.4149666512 1.671935624 0.9719356241 +-10 45 1.40214981954931 0.3265203734 1.683851853 0.9838518526 +-15 45 1.42959929500444 0.2338703873 1.693209236 0.9932092361 +-20 45 1.45984264321516 0.1361436089 1.699687218 0.9996872185 +-25 45 1.49328822127246 0.03238334454 1.702807154 1.002807154 +-30 45 1.53041940971791 -0.07844416568 1.701894684 1.001894684 +-35 45 1.57178787888689 -0.1974220963 1.696021977 0.9960219766 +-40 45 1.61801041329921 -0.3256280071 1.683945144 0.9839451436 +-45 45 1.66973792047533 -0.4640236379 1.664023638 0.9640236379 + +45 50 1.20932383184702 1.235414495 1.435414495 0.6170860317 +40 50 1.21326448444093 1.156031765 1.481828213 0.6560317653 +35 50 1.21997469110611 1.076662625 1.523559579 0.6910485390 +30 50 1.22916911308359 0.9971764698 1.561134906 0.7225779820 +25 50 1.24063790040846 0.9173437288 1.594996515 0.7509912454 +20 50 1.25424326276639 0.8368563870 1.625505317 0.7765911700 +15 50 1.26991153592824 0.7553397954 1.652941090 0.7996125170 +10 50 1.28762948875572 0.6723604004 1.677504405 0.8202235858 +5 50 1.30744225964711 0.5874289151 1.699317072 0.8385265866 +0 50 1.32944758886637 0.5000000000 1.718415938 0.8545524379 +-5 50 1.35379984377224 0.4094711444 1.734749555 0.8682579698 +-10 50 1.38070665750247 0.3151804115 1.748163972 0.8795140026 +-15 50 1.41043200037505 0.2164059005 1.758387588 0.8880926348 +-20 50 1.44329781119844 0.1123685887 1.765008550 0.8936482811 +-25 50 1.47968111292897 0.002243456424 1.767442352 0.8956904842 +-30 50 1.52001477124732 -0.1148182296 1.764896411 0.8935541858 +-35 50 1.56477355131138 -0.2396435605 1.756320477 0.8863581223 +-40 50 1.61445803831666 -0.3729636205 1.740357531 0.8729636205 +-45 50 1.66956003425456 -0.5152935199 1.715293520 0.8519324181 + +45 55 1.19291983749655 1.255938120 1.455938120 0.5293135702 +40 55 1.19479599893334 1.176786195 1.506562380 0.5647610582 +35 55 1.19975640002923 1.096930173 1.552504637 0.5969301732 +30 55 1.20755520922625 1.016272185 1.594209655 0.6261323409 +25 55 1.21800658562709 0.9346224389 1.632050828 0.6526290158 +20 55 1.23098659223013 0.8517153999 1.666330119 0.6766316340 +15 55 1.24642778142719 0.7672187406 1.697273917 0.6982987141 +10 55 1.26431762306629 0.6807406560 1.725031196 0.7177345706 +5 55 1.28469873829725 0.5918343520 1.749671447 0.7349878597 +0 55 1.30766330291960 0.5000000000 1.771175068 0.7500448572 +-5 55 1.33335739464673 0.4046873725 1.789428318 0.7628259205 +-10 55 1.36197544806621 0.3052986596 1.804206172 0.7731734855 +-15 55 1.39376236890779 0.2011945413 1.815157153 0.7808414450 +-20 55 1.42900996894217 0.09170569696 1.821779378 0.7854783767 +-25 55 1.46805222859821 -0.02384646154 1.823392362 0.7866078003 +-30 55 1.51125644071538 -0.1461151080 1.819104195 0.7836051931 +-35 55 1.55900911830691 -0.2756737809 1.807776964 0.7756737809 +-40 55 1.61168712995336 -0.4129320834 1.787990090 0.7618188627 +-45 55 1.66962622988912 -0.5580208946 1.758020895 0.7408342060 + +45 60 1.17971807020823 1.272306765 1.472306765 0.4458915187 +40 60 1.17974698734154 1.193524746 1.526510608 0.4771861220 +35 60 1.18309238653032 1.113448064 1.576094630 0.5058134705 +30 60 1.18955676670309 1.031985959 1.621426709 0.5319859587 +25 60 1.19899023113099 0.9489661866 1.662811094 0.5558792444 +20 60 1.21129382118243 0.8641471170 1.700485981 0.5776308506 +15 60 1.22641702369968 0.7772249755 1.734617694 0.5973368039 +10 60 1.24435691039958 0.6878403871 1.765295772 0.6150488008 +5 60 1.26516036294004 0.5955839511 1.792529560 0.6307722355 +0 60 1.28891773012362 0.5000000000 1.816235498 0.6444588651 +-5 60 1.31576768135704 0.4005926226 1.836231523 0.6560035756 +-10 60 1.34588959710040 0.2968328695 1.852218054 0.6652334035 +-15 60 1.37950489335700 0.1881703346 1.863764155 0.6718995480 +-20 60 1.41686831771378 0.07405172548 1.870283266 0.6756633587 +-25 60 1.45826308249407 -0.04605183447 1.871011938 0.6760840576 +-30 60 1.50398373647450 -0.1726019744 1.864980793 0.6726019744 +-35 60 1.55432405029201 -0.3059362824 1.850996295 0.6645280209 +-40 60 1.60954070661816 -0.4461828022 1.827616754 0.6510298363 +-45 60 1.66982546617053 -0.5931573709 1.793157371 0.6311347023 + +45 65 1.16924519725300 1.285198351 1.485198351 0.3661440041 +40 65 1.16768358027519 1.206830048 1.542367249 0.3928022990 +35 65 1.16960326109480 1.126693676 1.595011325 0.4173506349 +30 65 1.17485695016088 1.044690504 1.643431628 0.4399293931 +25 65 1.18333593338612 0.9606509299 1.687869107 0.4606509299 +20 65 1.19497240960326 0.8743434053 1.728500053 0.4795974512 +15 65 1.20973944222988 0.7854811742 1.765430247 0.4968182833 +10 65 1.22764966056451 0.6937282815 1.798687681 0.5123264796 +5 65 1.24875869032318 0.5987063404 1.828218633 0.5260969886 +0 65 1.27315841868337 0.5000000000 1.853873389 0.5380599978 +-5 65 1.30098148678326 0.3971657836 1.875400472 0.5480982417 +-10 65 1.33239176190306 0.2897429742 1.892426848 0.5560377710 +-15 65 1.36758503381507 0.1772695279 1.904446519 0.5616426356 +-20 65 1.40677618004140 0.05930582037 1.910797307 0.5646040569 +-25 65 1.45019462984467 -0.06453411574 1.910647318 0.5645341157 +-30 65 1.49806167775707 -0.1945355950 1.902970938 0.5609545610 +-35 65 1.55058052208037 -0.3308278887 1.886545193 0.5532951104 +-40 65 1.60789870236961 -0.4733040144 1.859938556 0.5408882316 +-45 65 1.67008348034543 -0.6215327608 1.821532761 0.5229793152 + +45 70 1.16112878638250 1.295130634 1.495130634 0.2894038832 +40 70 1.15825554411094 1.217158349 1.554676039 0.3110766383 +35 70 1.15897633791167 1.137050036 1.609801740 0.3311407523 +30 70 1.16319023626771 1.054691648 1.660754116 0.3496859009 +25 70 1.17082852113488 0.9699073971 1.707719665 0.3667799625 +20 70 1.18185596532104 0.8824670003 1.750819447 0.3824670003 +15 70 1.19627171247728 0.7920923303 1.790103417 0.3967651961 +10 70 1.21410702362982 0.6984633501 1.825541589 0.4096636359 +5 70 1.23542932407377 0.6012261614 1.857020319 0.4211209566 +0 70 1.26033424809994 0.5000000000 1.884326793 0.4310597002 +-5 70 1.28894979921225 0.3943885839 1.907144010 0.4393644880 +-10 70 1.32142518636435 0.2839939443 1.925031217 0.4458748989 +-15 70 1.35793090759564 0.1684355243 1.937415469 0.4503823982 +-20 70 1.39864288649867 0.04737737510 1.943570441 0.4526226249 +-25 70 1.44373857608405 -0.07943876841 1.942610449 0.4522732162 +-30 70 1.49337130654812 -0.2121454126 1.933472037 0.4489471063 +-35 70 1.54766155111712 -0.3506971325 1.914921414 0.4421952317 +-40 70 1.60666456267451 -0.4948002509 1.885556773 0.4315073764 +-45 70 1.67034588865726 -0.6438379630 1.843837963 0.4163229714 + +45 75 1.15508581830345 1.302491934 1.502491934 0.2150270657 +40 75 1.15118906884760 1.224857727 1.563851800 0.2314683921 +35 75 1.15096035196793 1.144814040 1.620889886 0.2467517014 +30 75 1.15433776477168 1.062229990 1.673810908 0.2609318464 +25 75 1.16128726184581 0.9769198421 1.722757902 0.2740471539 +20 75 1.17180326575905 0.8886497922 1.767806528 0.2861178969 +15 75 1.18590952088030 0.7971448185 1.808959560 0.2971448185 +10 75 1.20365548606652 0.7020948610 1.846136911 0.3071064597 +5 75 1.22512078497579 0.6031642480 1.879172750 0.3159583861 +0 75 1.25040590127532 0.5000000000 1.907799353 0.3236288614 +-5 75 1.27963557631111 0.3922452027 1.931642969 0.3300177390 +-10 75 1.31294639440445 0.2795550952 1.950205181 0.3349914686 +-15 75 1.35048636196532 0.1616183462 1.962857524 0.3383816538 +-20 75 1.39239695095039 0.03818631378 1.968822675 0.3399800111 +-25 75 1.43880994540432 -0.09089342886 1.967175047 0.3395385306 +-30 75 1.48982065993704 -0.2256297769 1.956827641 0.3367659515 +-35 75 1.54548029731592 -0.3658398989 1.936547526 0.3313319109 +-40 75 1.60577072541692 -0.5110896193 1.904969686 0.3228706543 +-45 75 1.67057908118746 -0.6606291210 1.860629121 0.3109896357 + +45 80 1.15090985904310 1.307563344 1.507563344 0.1423952062 +40 80 1.14628174205498 1.230184676 1.570200211 0.1534397758 +35 80 1.14536703649102 1.150208067 1.628593355 0.1637360626 +30 80 1.14813304895466 1.067488193 1.682918384 0.1733150308 +25 80 1.15457234937476 0.9818296344 1.733286986 0.1821963744 +20 80 1.16470278593849 0.8929936725 1.779741241 0.1903875130 +15 80 1.17856807786705 0.8007055375 1.822248344 0.1978826621 +10 80 1.19623309524666 0.7046609720 1.860690050 0.2046609720 +5 80 1.21778786782001 0.6045367163 1.894860135 0.2106860799 +0 80 1.24333741811038 0.5000000000 1.924448329 0.2159032769 +-5 80 1.27300439862114 0.3907234148 1.949037084 0.2202389378 +-10 80 1.30691569252532 0.2764025782 1.968083993 0.2235974218 +-15 80 1.34520164760077 0.1567787707 1.980919066 0.2258605914 +-20 80 1.38797677808124 0.03166928255 1.986728071 0.2268848758 +-25 80 1.43533727765414 -0.09899930580 1.984558157 0.2265022613 +-30 80 1.48733419544319 -0.2351452832 1.973308981 0.2245187282 +-35 80 1.54396693904678 -0.3764873856 1.951753713 0.2207179527 +-40 80 1.60516420999350 -0.5224940914 1.918561007 0.2148651831 +-45 80 1.67075812520179 -0.6723272747 1.872327275 0.2067129288 + +45 85 1.14845853621864 1.310533291 1.510533291 0.07091247434 +40 85 1.14339196395591 1.233313119 1.573928544 0.07645884029 +35 85 1.14206314767056 1.153384738 1.633130111 0.08163830632 +30 85 1.14445736222940 1.070593223 1.688296452 0.08646473578 +25 85 1.15058384943022 0.9847363250 1.739520404 0.09094625081 +20 85 1.16047537922930 0.8955713955 1.786823477 0.09508473350 +15 85 1.17418857330881 0.8028229797 1.830150746 0.09887537833 +10 85 1.19179838635251 0.7061897123 1.869359967 0.1023057407 +5 85 1.21340181567618 0.6053555466 1.904219409 0.1053555466 +0 85 1.23910716581287 0.5000000000 1.934391989 0.1079953054 +-5 85 1.26903597840851 0.3898139285 1.959432560 0.1101860715 +-10 85 1.30330905789651 0.2745181377 1.978771186 0.1118779821 +-15 85 1.34204551737638 0.1538867507 1.991712232 0.1130101768 +-20 85 1.38534273880106 0.02777803794 1.997419178 0.1135094699 +-25 85 1.43327431716782 -0.1038326763 1.994923353 0.1132911135 +-30 85 1.48586360796444 -0.2408084675 1.983117904 0.1122582706 +-35 85 1.54307806542521 -0.3828090281 1.960781954 0.1103041281 +-40 85 1.60481421167494 -0.5292457454 1.926607315 0.1073142346 +-45 85 1.67087154050834 -0.6792302162 1.879230216 0.1031692756 + +45 90 1.14764996318849 1.311511071 1.511511071 0.000000000 +40 90 1.14243724183476 1.234344504 1.575157701 0.000000000 +35 90 1.14096990242849 1.154433451 1.634627828 0.000000000 +30 90 1.14323927808523 1.071619639 1.690074257 0.000000000 +25 90 1.14926028147568 0.9856983824 1.741583542 0.000000000 +20 90 1.15907080056844 0.8964255613 1.789170278 0.000000000 +15 90 1.17273191911120 0.8035253555 1.832772048 0.000000000 +10 90 1.19032212385227 0.7066972676 1.872238456 0.000000000 +5 90 1.21194085417414 0.6056276053 1.907329053 0.000000000 +0 90 1.23769758938687 0.5000000000 1.937697589 0.000000000 +-5 90 1.26771352695862 0.3895114860 1.962889494 0.000000000 +-10 90 1.30210740350300 0.2738914223 1.982325466 0.000000000 +-15 90 1.34099448495335 0.1529250879 1.995301206 0.000000000 +-20 90 1.38446629292038 0.02648464007 2.000972759 0.000000000 +-25 90 1.43258863137229 -0.1054381172 1.998366232 0.000000000 +-30 90 1.48537548353640 -0.2426877418 1.986372903 0.000000000 +-35 90 1.54278350232009 -0.3849042633 1.963774260 0.000000000 +-40 90 1.60469844538479 -0.5314802780 1.929270327 0.000000000 +-45 90 1.67090900226568 -0.6815110862 1.881511086 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 1.67090899671422 -0.6815110823 1.881511082 1.446933765e-16 +-90 40 1.74110885472000 -0.8337667630 1.819163199 1.633393197e-16 +-90 35 1.81488612778401 -0.9866676817 1.740975918 1.820642818e-16 +-90 30 1.89170753947738 -1.138266786 1.645853770 2.006298175e-16 +-90 25 1.97093529795377 -1.286274008 1.532953250 2.187554747e-16 +-90 20 2.05183486729256 -1.428094084 1.401768855 2.361234248e-16 +-90 15 2.13357370647390 -1.560873945 1.252209509 2.523842681e-16 +-90 10 2.21525121321644 -1.681596570 1.084674336 2.671685256e-16 +-90 5 2.29592082479504 -1.787184153 0.9001026848 2.800992752e-16 +-90 -2.84217e-14 2.37460721389313 -1.874607214 0.7000000000 2.908055124e-16 +-90 -5 2.45032138901314 -1.940997176 0.4864404194 2.989359379e-16 +-90 -10 2.52209457852419 -1.983778295 0.2620428725 3.041751138e-16 +-90 -15 2.58899932383450 -2.000781311 0.02991766723 3.062573828e-16 +-90 -20 2.65015962904705 -1.990335447 -0.2064079762 3.049781334e-16 +-90 -25 2.70476511286011 -1.951349684 -0.4430831304 3.002037544e-16 +-90 -30 2.75208636938488 -1.883376709 -0.6760431847 2.918794658e-16 +-90 -35 2.79149384725343 -1.786657892 -0.9011350930 2.800348268e-16 +-90 -40 2.82246553265480 -1.662134037 -1.114245873 2.647850528e-16 +-90 -45 2.84458810208760 -1.511427537 -1.311427537 2.463288294e-16 + +-85 45 1.67087153173883 -0.6792302100 1.879230210 0.1031692751 +-85 40 1.74088784822740 -0.8306124493 1.816516415 0.1164135049 +-85 35 1.81441185360975 -0.9824769875 1.738041562 0.1296999303 +-85 30 1.89090961219407 -1.132895487 1.642752649 0.1428598438 +-85 25 1.96974967537483 -1.279613870 1.529847576 0.1556960391 +-85 20 2.05020834229635 -1.420087750 1.398854788 0.1679859111 +-85 15 2.13146926156269 -1.551528716 1.249705463 0.1794855055 +-85 10 2.21265525045856 -1.670996789 1.082805309 0.1899376076 +-85 5 2.29284370534850 -1.775492632 0.8990798092 0.1990798092 +-85 -2.84217e-14 2.37108755416430 -1.862064850 0.7000000000 0.2066538969 +-85 -5 2.44642439483765 -1.927911101 0.4875853026 0.2124146974 +-85 -10 2.51790831496044 -1.970502744 0.2643837104 0.2161409833 +-85 -15 2.58462940327245 -1.987693130 0.03342463467 0.2176449472 +-85 -20 2.64572410751266 -1.977807910 -0.2018483254 0.2167801025 +-85 -25 2.70038868978283 -1.939725833 -0.4376628397 0.2134483525 +-85 -30 2.74789122183324 -1.872942178 -0.6700188052 0.2076055398 +-85 -35 2.78759168312616 -1.777619887 -0.8948066140 0.1992659199 +-85 -40 2.81895055293810 -1.654607894 -1.107930689 0.1885037650 +-85 -45 2.84153068169801 -1.505431752 -1.305431752 0.1754525437 + +-80 45 1.67075809942932 -0.6723272566 1.872327257 0.2067129256 +-80 40 1.74022165223419 -0.8210899143 1.808526060 0.2329437958 +-80 35 1.81298572445909 -0.9698576467 1.729205404 0.2591755609 +-80 30 1.88851632576315 -1.116761590 1.633437739 0.2850786897 +-80 25 1.96620173324823 -1.259656433 1.520541270 0.3102749059 +-80 20 2.04535053770767 -1.396148404 1.390141579 0.3343421230 +-80 15 2.12519577839602 -1.523639948 1.242232690 0.3568223220 +-80 10 2.20492698921291 -1.639413152 1.077236262 0.3772362615 +-80 5 2.28369119161172 -1.740695311 0.8960354381 0.3950950388 +-80 -2.84217e-14 2.36062084766897 -1.824757713 0.7000000000 0.4099175084 +-80 -5 2.43483201115613 -1.888990547 0.4909904098 0.4212434902 +-80 -10 2.50544647925981 -1.931003464 0.2713484991 0.4286515009 +-80 -15 2.57160770256841 -1.948719374 0.04386762122 0.4317752938 +-80 -20 2.63248955936490 -1.940457410 -0.1882538552 0.4303184866 +-80 -25 2.68730712425318 -1.905011240 -0.4214751592 0.4240683705 +-80 -30 2.73532574450724 -1.841716373 -0.6519905783 0.4129077777 +-80 -35 2.77587697228961 -1.750510823 -0.8758246427 0.3968257784 +-80 -40 2.80836990472888 -1.631975057 -1.088939484 0.3759247248 +-80 -45 2.83230209027846 -1.487352293 -1.287352293 0.3504238294 + +-75 45 1.67057903024062 -0.6606290856 1.860629086 0.3109896262 +-75 40 1.73911715581517 -0.8050327923 1.795052535 0.3496824828 +-75 35 1.81061663758676 -0.9486846111 1.714379885 0.3881738716 +-75 30 1.88454897383377 -1.089824403 1.617885547 0.4259921649 +-75 25 1.96033665158296 -1.226489101 1.505075090 0.4626113604 +-75 20 2.03734113890019 -1.356528508 1.375721116 0.4974553144 +-75 15 2.11488193852602 -1.477653862 1.229910755 0.5299107552 +-75 10 2.19224705440817 -1.587487073 1.068080293 0.5593404753 +-75 5 2.26869643632997 -1.683609199 0.8910410504 0.5850963213 +-75 -2.84217e-14 2.34348174621442 -1.763629542 0.7000000000 0.6065377078 +-75 -5 2.41584099088002 -1.825235111 0.4965682878 0.6230448702 +-75 -10 2.48500415752296 -1.866254316 0.2827655209 0.6340359331 +-75 -15 2.55020305210332 -1.884728349 0.06101396463 0.6389860354 +-75 -20 2.61067536402586 -1.878979713 -0.1658778034 0.6374456929 +-75 -25 2.66567028459286 -1.847683848 -0.3947429573 0.6290599912 +-75 -30 2.71445660821139 -1.789942802 -0.6220990929 0.6135883244 +-75 -35 2.75632989294279 -1.705355135 -0.8442062898 0.5909231274 +-75 -40 2.79062588811234 -1.594084509 -1.057145539 0.5611082530 +-75 -45 2.81674452348701 -1.456923654 -1.256923654 0.5243561128 + +-70 45 1.67034578884658 -0.6438378947 1.843837895 0.4163229465 +-70 40 1.73758017117455 -0.7821593183 1.775859411 0.4666678275 +-70 35 1.80731807339087 -0.9187529747 1.693421528 0.5163838526 +-70 30 1.87904752713573 -1.052026995 1.596063203 0.5648916289 +-70 25 1.95223699874496 -1.180269637 1.483522600 0.6115681335 +-70 20 2.02632455970188 -1.301658845 1.355750192 0.6557501918 +-70 15 2.10074529944354 -1.414305592 1.212936638 0.6967502549 +-70 10 2.17491151121362 -1.516258296 1.055520738 0.7338580043 +-70 5 2.24823458317793 -1.605545857 0.8842113930 0.7663560188 +-70 -2.84217e-14 2.32011080888211 -1.680191007 0.7000000000 0.7935246314 +-70 -5 2.38992911278325 -1.738247459 0.5041787212 0.8146554518 +-70 -10 2.45706026692302 -1.777825154 0.2983579681 0.8290605547 +-70 -15 2.52085542826420 -1.797131235 0.08448554068 0.8360873937 +-70 -20 2.58064387996553 -1.794518837 -0.1351365586 0.8351365586 +-70 -25 2.63573245430615 -1.768546912 -0.3578407978 0.8256835509 +-70 -30 2.68540576155676 -1.718050461 -0.5805920308 0.8073043459 +-70 -35 2.72893033041276 -1.642222822 -0.8000005688 0.7797053425 +-70 -40 2.76557058841161 -1.540712802 -1.012361360 0.7427587167 +-70 -45 2.79460568938305 -1.413721045 -1.213721045 0.6965374970 + +-65 45 1.67008329525447 -0.6215326365 1.821532637 0.5229792573 +-65 40 1.73562712762928 -0.7520818762 1.750621441 0.5838553675 +-65 35 1.80311264734820 -0.8797894493 1.666138974 0.6434063868 +-65 30 1.87206408094188 -1.003301711 1.567931648 0.7010011005 +-65 25 1.94201283612413 -1.121225581 1.455989904 0.7559899041 +-65 20 2.01249811551652 -1.232135740 1.330445851 0.8077081605 +-65 15 2.08307982239724 -1.334590302 1.191576990 0.8554835076 +-65 10 2.15332397118064 -1.427121879 1.039803582 0.8986316903 +-65 5 2.22280244617084 -1.508239988 0.8756982326 0.9364576857 +-65 -2.84217e-14 2.29108574785201 -1.576428854 0.7000000000 0.9682546763 +-65 -5 2.35772618161334 -1.630139818 0.5136369142 0.9933005101 +-65 -10 2.42225174253225 -1.667799361 0.3177584839 1.010861443 +-65 -15 2.48415753134583 -1.687823658 0.1137744177 1.020198926 +-65 -20 2.54289195280504 -1.688640079 -0.09659984220 1.020579630 +-65 -25 2.59784742896196 -1.668727533 -0.3112942573 1.011294257 +-65 -30 2.64835308952742 -1.626675989 -0.5278369550 0.9916853003 +-65 -35 2.69367328163735 -1.561269982 -0.7433167795 0.9611859780 +-65 -40 2.73301698754875 -1.471599189 -0.9543681524 0.9193718007 +-65 -45 2.76554436608198 -1.357181778 -1.157181778 0.8660180858 + +-60 45 1.66982517172494 -0.5931571781 1.793157178 0.6311345910 +-60 40 1.73328166076727 -0.7143075547 1.718925021 0.7010807936 +-60 35 1.79804093127205 -0.8314716774 1.632306505 0.7687255314 +-60 30 1.86367821456548 -0.9435989375 1.533462235 0.8334622352 +-60 25 1.92981075288653 -1.049673345 1.422624549 0.8947043232 +-60 20 1.99610147636583 -1.148709429 1.300081157 0.9518828327 +-60 15 2.06224515597310 -1.239730683 1.166159432 1.004433978 +-60 10 2.12796580596217 -1.321754641 1.021224495 1.051790532 +-60 5 2.19300245524842 -1.393767840 0.8656832173 1.093367372 +-60 -2.84217e-14 2.25709637933339 -1.454702803 0.7000000000 1.128548190 +-60 -5 2.31997630358113 -1.503416139 0.5247237995 1.156672847 +-60 -10 2.38133666321899 -1.538665802 0.3405282144 1.177024250 +-60 -15 2.44082724228441 -1.559106326 0.1482641228 1.188825592 +-60 -20 2.49803717165196 -1.563290613 -0.05097636784 1.191241391 +-60 -25 2.55247648530919 -1.549685322 -0.2557839624 1.183386372 +-60 -30 2.60355931122191 -1.516708371 -0.4643471207 1.164347121 +-60 -35 2.65059105827324 -1.462795652 -0.6743643117 1.133220598 +-60 -40 2.69276167945835 -1.386502883 -0.8829638735 1.089172947 +-60 -45 2.72914594177917 -1.286645409 -1.086645409 1.031520208 + +-55 45 1.66962577003484 -0.5580206032 1.758020603 0.7408340019 +-55 40 1.73058720014404 -0.6682551092 1.680282431 0.8180210340 +-55 35 1.79215905383076 -0.7734450957 1.591675855 0.8916758555 +-55 30 1.85399433640291 -0.8729058700 1.492647574 0.9613190394 +-55 25 1.91581850267210 -0.9660349483 1.383623324 1.026528722 +-55 20 1.97742150879358 -1.052284952 1.264985517 1.086921625 +-55 15 2.03864777180935 -1.131133611 1.137060934 1.142132050 +-55 10 2.09937335578567 -1.202043176 1.000116134 1.191783462 +-55 5 2.15949123639657 -1.264426338 0.8543673022 1.235464623 +-55 -2.84217e-14 2.21890975654424 -1.317624463 0.7000000000 1.272714351 +-55 -5 2.27751877683924 -1.360861506 0.5371957138 1.302989254 +-55 -10 2.33517600827302 -1.393217506 0.3661746733 1.325645169 +-55 -15 2.39169335439442 -1.413607378 0.1872504484 1.339922311 +-55 -20 2.44681804907240 -1.420763388 0.0008992997111 1.344933003 +-55 -25 2.50020649725401 -1.413224086 -0.1921510429 1.339653927 +-55 -30 2.55139808635831 -1.389342023 -0.3908121254 1.322931526 +-55 -35 2.59979217986004 -1.347320747 -0.5935079122 1.293507912 +-55 -40 2.64462544118494 -1.285288360 -0.7980348040 1.250072367 +-55 -45 2.68494969192439 -1.201418452 -1.001418452 1.191346026 + +-50 45 1.66955954364299 -0.5152932215 1.715293222 0.8519321677 +-50 40 1.72760844025580 -0.6132717040 1.634145876 0.9341458762 +-50 35 1.78555318317904 -0.7053606018 1.544002580 1.011417636 +-50 30 1.84314984129468 -0.7912793272 1.445520467 1.083512007 +-50 25 1.90025267140986 -0.8708427877 1.339234490 1.150273678 +-50 20 1.95678883413283 -0.9439132532 1.225541445 1.211587078 +-50 15 2.01273582856203 -1.010356131 1.104698706 1.267339272 +-50 10 2.06811477398466 -1.070010100 0.9768351405 1.317394895 +-50 5 2.12296134354869 -1.122642605 0.8419628329 1.361558811 +-50 -2.84217e-14 2.17732028998020 -1.167924109 0.7000000000 1.399554505 +-50 -5 2.23122459395339 -1.205391433 0.5507975828 1.430993322 +-50 -10 2.28468192373386 -1.234417132 0.3941754639 1.455348776 +-50 -15 2.33766222726506 -1.254180766 0.2299686805 1.471932433 +-50 -20 2.39007403803476 -1.263634133 0.05808967131 1.479864751 +-50 -25 2.44173777446398 -1.261470287 -0.1213870842 1.478049068 +-50 -30 2.49235813645307 -1.246103581 -0.3081133723 1.465154871 +-50 -35 2.54148868347351 -1.215664567 -0.5013212629 1.439613505 +-50 -40 2.58848925858661 -1.168023714 -0.6996380836 1.399638084 +-50 -45 2.63248279407940 -1.100866496 -0.9008664961 1.343286486 + +-45 45 1.66973734705662 -0.4640233068 1.664023307 0.9640233068 +-45 40 1.72444319723446 -0.5486690910 1.579937848 1.048669091 +-45 35 1.77833956556451 -0.6269111519 1.489071683 1.126911152 +-45 30 1.83131987279977 -0.6988802770 1.392173851 1.198880277 +-45 25 1.88337144667039 -0.7647647876 1.289769506 1.264764788 +-45 20 1.93455592918051 -0.8247666417 1.182175625 1.324766642 +-45 15 1.98498022464814 -0.8790582435 1.069517543 1.379058243 +-45 10 2.03478152257632 -0.9277529709 0.9517513706 1.427752971 +-45 5 2.08410964514233 -0.9708761313 0.8286849869 1.470876131 +-45 -2.84217e-14 2.13312222734404 -1.008345192 0.7000000000 1.508345192 +-45 -5 2.18197086604071 -1.039942427 0.5652724951 1.539942427 +-45 -10 2.23078822201644 -1.065285745 0.4239978906 1.565285745 +-45 -15 2.27968190981900 -1.083801235 0.2756217382 1.583801235 +-45 -20 2.32871221075508 -1.094681347 0.1195834566 1.594681347 +-45 -25 2.37787113747275 -1.096842561 -0.04461991501 1.596842561 +-45 -30 2.42705522579152 -1.088880613 -0.2173406494 1.588880613 +-45 -35 2.47602513893365 -1.069025621 -0.3986435676 1.569025621 +-45 -40 2.52434990334727 -1.035108679 -0.5881091264 1.535108679 +-45 -45 2.57133629344487 -0.9845617012 -0.7845617012 1.484561701 + + +### -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 2.84458811846292 -1.511427548 -1.311427548 2.463288309e-16 +-40 -90 2.85756857564252 -1.336809674 -1.489024528 2.680781882e-16 +-35 -90 2.86124161143723 -1.141140767 -1.643791915 2.870317267e-16 +-30 -90 2.85555685669755 -0.9277784283 -1.772984780 3.028532895e-16 +-25 -90 2.84059593322941 -0.7004877156 -1.874454214 3.152797113e-16 +-20 -90 2.81655258778331 -0.4633177198 -1.946693683 3.241264947e-16 +-15 -90 2.78374708511012 -0.2204867624 -1.988893203 3.292944455e-16 +-10 -90 2.74261787913726 0.02374940325 -2.000951351 3.307711427e-16 +-5 -90 2.69370398132830 0.2652282288 -1.983453624 3.286282892e-16 +-2.84217e-14 -90 2.63764904310699 0.5000000000 -1.937649043 3.230188458e-16 +5 -90 2.57519595028330 0.7244431158 -1.865396552 3.141704676e-16 +10 -90 2.50716881254107 0.9353652954 -1.769079285 3.023750043e-16 +15 -90 2.43446130239952 1.130084950 -1.651509045 2.879768025e-16 +20 -90 2.35801807384589 1.306489680 -1.515812184 2.713587298e-16 +25 -90 2.27881665176796 1.463069532 -1.365309277 2.529274395e-16 +30 -90 2.19784284643303 1.598921423 -1.203387739 2.330977702e-16 +35 -90 2.11605993124572 1.713722114 -1.033374819 2.122771923e-16 +40 -90 2.03441601404964 1.807697407 -0.8584530826 1.908554579e-16 +45 -90 1.95379888643919 1.881544442 -0.6815444417 1.691903978e-16 + +-45 -85 2.84153070780243 -1.505431770 -1.305431770 0.1754525453 +-40 -85 2.85393979086746 -1.330370996 -1.481351211 0.1908435021 +-35 -85 2.85708003813609 -1.134561535 -1.634395799 0.2042331686 +-30 -85 2.85093087934673 -0.9213913877 -1.761922101 0.2153902743 +-25 -85 2.83560048738484 -0.6946270235 -1.861885919 0.2241359752 +-20 -85 2.81130378014798 -0.4582894903 -1.932878736 0.2303470418 +-15 -85 2.77837417950338 -0.2165421013 -1.974171528 0.2339596930 +-10 -85 2.73725490705840 0.02643516873 -1.985719618 0.2349700200 +-5 -85 2.68848430131882 0.2665680655 -1.968139221 0.2334319345 +-2.84217e-14 -85 2.63269782148854 0.5000000000 -1.922679611 0.2294547341 +5 -85 2.57062171630514 0.7231983277 -1.851168560 0.2231983277 +10 -85 2.50305811671606 0.9330470983 -1.755932135 0.2148662202 +15 -85 2.43087368083531 1.126921798 -1.639704001 0.2046975761 +20 -85 2.35498549480844 1.302744216 -1.505521608 0.1929581378 +25 -85 2.27634116370397 1.459013331 -1.356610725 0.1799301237 +30 -85 2.19589937536213 1.594811692 -1.196269476 0.1659020821 +35 -85 2.11460331970895 1.709783836 -1.027750374 0.1511585712 +40 -85 2.03338331950234 1.804108049 -0.8541754524 0.1359727332 +45 -85 1.95311699158942 1.878427076 -0.6784270761 0.1205967427 + +-45 -80 2.83230214981785 -1.487352334 -1.287352334 0.3504238367 +-40 -80 2.84301673712052 -1.311009613 -1.458277213 0.3805625045 +-35 -80 2.84458541065692 -1.114829415 -1.606215411 0.4066480003 +-30 -80 2.83707400306811 -0.9022817319 -1.728823206 0.4282670626 +-25 -80 2.82066712147266 -0.6771293577 -1.824362054 0.4451131392 +-20 -80 2.79563943622577 -0.4433038388 -1.891705997 0.4569876933 +-15 -80 2.76236098632871 -0.2048020906 -1.930357211 0.4638029453 +-10 -80 2.72128851968550 0.03442054420 -1.940432303 0.4655794558 +-5 -80 2.67295568459968 0.2705495206 -1.922630980 0.4624406023 +-2.84217e-14 -80 2.61797176064868 0.5000000000 -1.878198887 0.4546060254 +5 -80 2.55701477483380 0.7194979398 -1.808872932 0.4423819891 +10 -80 2.49082292111784 0.9261495875 -1.716814408 0.4261495875 +15 -80 2.42018444204030 1.117497519 -1.604532113 0.4063511894 +20 -80 2.34593542179368 1.291564842 -1.474806530 0.3834770690 +25 -80 2.26893801236317 1.446880093 -1.330590911 0.3580479645 +30 -80 2.19007317613008 1.582488368 -1.174924851 0.3305998381 +35 -80 2.11022494878909 1.697943752 -1.010840982 0.3016674248 +40 -80 2.03027065067176 1.793288083 -0.8412807193 0.2717693757 +45 -80 1.95105588920094 1.869004884 -0.6690048840 0.2413924978 + +-45 -75 2.81674463452480 -1.456923731 -1.256923731 0.5243561335 +-40 -75 2.82469702560438 -1.278598772 -1.419651476 0.5679589013 +-35 -75 2.82373357328567 -1.081968528 -1.559285201 0.6053736450 +-30 -75 2.81405877651295 -0.8706111730 -1.673968189 0.6361028591 +-25 -75 2.79596586040013 -0.6482530125 -1.762436532 0.6598078801 +-20 -75 2.76981835209409 -0.4186604599 -1.823998870 0.6763034588 +-15 -75 2.73603726809262 -0.1855491782 -1.858504364 0.6855491782 +-10 -75 2.69509648953696 0.04749082548 -1.866307055 0.6876399028 +-5 -75 2.64751619727964 0.2770595187 -1.848221361 0.6827938559 +-2.84217e-14 -75 2.59385892086404 0.5000000000 -1.805475321 0.6713400890 +5 -75 2.53472676355650 0.7134427752 -1.739662084 0.6537054853 +10 -75 2.47075520785888 0.9148420674 -1.652686275 0.6304003874 +15 -75 2.40261581453314 1.102006163 -1.546717586 0.6020061628 +20 -75 2.33101490037288 1.273123342 -1.424138924 0.5691613093 +25 -75 2.25668814889312 1.426781332 -1.287488981 0.5325460674 +30 -75 2.18039394262987 1.561979346 -1.139402184 0.4928663298 +35 -75 2.10291872399786 1.678139209 -0.9825571634 0.4508398332 +40 -75 2.02505365092316 1.775095313 -0.8195994197 0.4071754373 +45 -75 1.94758641067057 1.853079019 -0.6530790187 0.3625564304 + +-45 -70 2.79460574439990 -1.413721082 -1.213721082 0.6965375107 +-40 -70 2.79882307099701 -1.232950336 -1.365249788 0.7516894493 +-35 -70 2.79450361698680 -1.036043983 -1.493698153 0.7984408307 +-30 -70 2.78201696286866 -0.8266631074 -1.597847906 0.8363482408 +-25 -70 2.76178554388374 -0.6084317069 -1.677039466 0.8651716114 +-20 -70 2.73427013352539 -0.3848524073 -1.731112008 0.8848524073 +-15 -70 2.69994488115274 -0.1592425314 -1.760326622 0.8954856568 +-10 -70 2.65929452549407 0.06529985405 -1.765307035 0.8972983790 +-5 -70 2.61280962654876 0.2859167791 -1.746982413 0.8906287620 +-2.84217e-14 -70 2.56098488544012 0.5000000000 -1.706538599 0.8759084176 +5 -70 2.50432044800284 0.7051940495 -1.645378718 0.8536480414 +10 -70 2.44332589129464 0.8993969496 -1.565092659 0.8244263058 +15 -70 2.37852730496102 1.080762360 -1.467434635 0.7888816919 +20 -70 2.31047072132593 1.247704316 -1.354300724 0.7477043159 +25 -70 2.23973503311507 1.398908799 -1.227716140 0.7016312950 +30 -70 2.16692243987864 1.533342390 -1.089801521 0.6514344789 +35 -70 2.09268441532665 1.650277740 -0.9427668617 0.5979182395 +40 -70 2.01769402807544 1.749297814 -0.7888551576 0.5418989605 +45 -70 1.94265515568786 1.830312920 -0.6303129197 0.4841943050 + +-45 -65 2.76554427893392 -1.357181720 -1.157181720 0.8660180585 +-40 -65 2.76520166912569 -1.173850399 -1.294817227 0.9301985496 +-35 -65 2.75688938297017 -0.9771890611 -1.409644613 0.9837434391 +-30 -65 2.74114616233884 -0.7708579420 -1.501190525 1.026431999 +-25 -65 2.71853154738073 -0.5582743665 -1.569476703 1.058274367 +-20 -65 2.68958561665273 -0.3425538786 -1.614897756 1.079454552 +-15 -65 2.65481802643321 -0.1264990138 -1.638126150 1.090286130 +-10 -65 2.61470496992809 0.08738855489 -1.640035787 1.091176608 +-5 -65 2.56968602154335 0.2968828525 -1.621639619 1.082598334 +-2.84217e-14 -65 2.52016884281957 0.5000000000 -1.584048647 1.065069376 +5 -65 2.46653772988990 0.6949639386 -1.528448016 1.039142376 +10 -65 2.40916157053038 0.8801758319 -1.456084284 1.005398613 +15 -65 2.34840466573388 1.054189851 -1.368264682 0.9644476602 +20 -65 2.28464644628790 1.215700483 -1.266370916 0.9169338168 +25 -65 2.21828366379512 1.363537060 -1.151861201 0.8635370597 +30 -65 2.14974917489643 1.496672797 -1.026287923 0.8049812785 +35 -65 2.07952320835806 1.614244538 -0.8913061153 0.7420382281 +40 -65 2.00813949655620 1.715580453 -0.7486723724 0.6755270214 +45 -65 1.93619425797920 1.800237573 -0.6002375733 0.6063107378 + +-45 -60 2.72914607932261 -1.286645499 -1.086645499 1.031520260 +-40 -60 2.72363058257735 -1.101110432 -1.208129110 1.101658855 +-35 -60 2.71092607866812 -0.9056487675 -1.307474485 1.159015935 +-30 -60 2.69174386516892 -0.7037844521 -1.385015832 1.203784452 +-25 -60 2.66673849574846 -0.4985697815 -1.441439807 1.236360849 +-20 -60 2.63650243832603 -0.2926027072 -1.477658041 1.257271456 +-15 -60 2.60154716797783 -0.08806575239 -1.494691266 1.267105593 +-10 -60 2.56230794327858 0.1132099144 -1.493595580 1.266472999 +-5 -60 2.51915064031784 0.3096760074 -1.475413189 1.255975391 +-2.84217e-14 -60 2.47238150941220 0.5000000000 -1.441145195 1.236190755 +5 -60 2.42225945387047 0.6830037803 -1.391742780 1.207668257 +10 -60 2.36901008282800 0.8576110416 -1.328112999 1.170931586 +15 -60 2.31284552696826 1.022806298 -1.251139668 1.126491013 +20 -60 2.25397147661950 1.177603733 -1.161700956 1.074853548 +25 -60 2.19260435614312 1.321028555 -1.060701417 1.016541437 +30 -60 2.12899710835043 1.452116452 -0.9491140690 0.9521164516 +35 -60 2.06345313067275 1.569926020 -0.8280127128 0.8821985511 +40 -60 1.99634339202398 1.673568197 -0.6986041147 0.8074844621 +45 -60 1.92812139212329 1.762251747 -0.5622517469 0.7287613859 + +-45 -55 2.68494977935573 -1.201418507 -1.001418507 1.191346064 +-40 -55 2.67392179470078 -1.014629576 -1.105065239 1.263920287 +-35 -55 2.65673391571240 -0.8218388636 -1.187781538 1.321838864 +-30 -55 2.63421519220649 -0.6262193414 -1.250669120 1.365873222 +-25 -55 2.60707655613587 -0.4302855868 -1.295003879 1.396916755 +-20 -55 2.57590194560611 -0.2359823321 -1.322094839 1.415886049 +-15 -55 2.54115782282000 -0.04479288989 -1.333194745 1.423658287 +-10 -55 2.50320633211136 0.1421538811 -1.329446189 1.421033520 +-5 -55 2.46231869311942 0.3239856280 -1.311853478 1.408714971 +-2.84217e-14 -55 2.41869044078859 0.5000000000 -1.281275219 1.387303844 +5 -55 2.37245852277172 0.6695908812 -1.238432642 1.357305149 +10 -55 2.32371689723602 0.8321871883 -1.183927162 1.319140000 +15 -55 2.27253065569242 0.9872025390 -1.118264629 1.273162600 +20 -55 2.21894912947950 1.133994379 -1.041885241 1.219681177 +25 -55 2.16302568188009 1.271834494 -0.9552044148 1.158986609 +30 -55 2.10484261513465 1.399894007 -0.8586621410 1.091386981 +35 -55 2.04452339674781 1.517237920 -0.7527663083 1.017237920 +40 -55 1.98226313415834 1.622843001 -0.6381521798 0.9369842436 +45 -55 1.91835026016245 1.715634147 -0.5156341474 0.8511961937 + +-45 -50 2.63248250317089 -1.100866319 -0.9008663192 1.343286338 +-40 -50 2.61594925013705 -0.9144861459 -0.9857189461 1.414486146 +-35 -50 2.59453314671607 -0.7263945367 -1.051472913 1.469660275 +-30 -50 2.56910553187353 -0.5391562929 -1.099871496 1.510271509 +-25 -50 2.54034801167671 -0.3545590227 -1.132607738 1.537740477 +-20 -50 2.50877588504450 -0.1737904882 -1.151224152 1.553361503 +-15 -50 2.47476446884804 0.002401674939 -1.157062231 1.558260233 +-10 -50 2.43857341888135 0.1735757495 -1.151243918 1.553378088 +-5 -50 2.40036444230974 0.3394871686 -1.134670058 1.539470969 +-2.84217e-14 -50 2.36022033990998 0.5000000000 -1.108033676 1.517120391 +5 -50 2.31816458159096 0.6550161109 -1.071842256 1.486752183 +10 -50 2.27417622260352 0.8044182567 -1.026441725 1.448656615 +15 -50 2.22819729308521 0.9480213188 -0.9720383245 1.403006741 +20 -50 2.18014610492226 1.085529268 -0.9087284432 1.349883443 +25 -50 2.12994333484651 1.216501159 -0.8365416940 1.289311569 +30 -50 2.07751566494900 1.340317165 -0.7554720240 1.221286039 +35 -50 2.02282093597911 1.456155271 -0.6655312447 1.145816764 +40 -50 1.96588111474679 1.562983772 -0.5668147292 1.062983772 +45 -50 1.90680239030364 1.659565437 -0.4595654369 0.9729909304 + +-45 -45 2.57133633853601 -0.9845617272 -0.7845617272 1.484561727 +-40 -45 2.54971631880474 -0.8010529387 -0.8505345138 1.550534514 +-35 -45 2.52470428730564 -0.6202431194 -0.8998729780 1.599872978 +-30 -45 2.49709923028903 -0.4438147946 -0.9347351772 1.634735177 +-25 -45 2.46746918782866 -0.2726771514 -0.9570114985 1.657011499 +-20 -45 2.43620017654595 -0.1072072277 -0.9682881470 1.668288147 +-15 -45 2.40353574038184 0.05256550697 -0.9698482610 1.669848261 +-10 -45 2.36960957790760 0.2068223530 -0.9626930593 1.662693059 +-5 -45 2.33447008903737 0.3558563108 -0.9475699065 1.647569906 +-2.84217e-14 -45 2.29809442719185 0.5000000000 -0.9249981533 1.624998153 +5 -45 2.26040861100256 0.6395707051 -0.8953004587 1.595300459 +10 -45 2.22129987438725 0.7748281728 -0.8586280197 1.558628020 +15 -45 2.18061719840187 0.9059366933 -0.8149763640 1.514976364 +20 -45 2.13818469515229 1.032928785 -0.7642098040 1.464209804 +25 -45 2.09381331907318 1.155668455 -0.7060855400 1.406085540 +30 -45 2.04730887489522 1.273810020 -0.6402782700 1.340278270 +35 -45 1.99849397654826 1.386756971 -0.5664202006 1.266420201 +40 -45 1.94722131875621 1.493615643 -0.4841450119 1.184145012 +45 -45 1.89341859607969 1.593165736 -0.3931657361 1.093165736 + + diff --git a/test/Kerr-selection-mean-coordinate-radius-EE.par b/test/Kerr-selection-mean-coordinate-radius-EE.par new file mode 100644 index 0000000..20f5c7f --- /dev/null +++ b/test/Kerr-selection-mean-coordinate-radius-EE.par @@ -0,0 +1,67 @@ +# This parameter file sets up Kerr/Kerr-Schild initial data, then +# finds the apparent horizon in it. The local coordinate system origin +# and the initial guess are both deliberately de-centered with respect +# to the black hole, to make this a non-trivial test for the apparent +# horizon finder. + +# flesh +cactus::cctk_itlast = 0 + +ActiveThorns = "PUGH" +driver::ghost_size = 3 +driver::global_nx = 31 +driver::global_ny = 31 +driver::global_nz = 19 + +ActiveThorns = "CartGrid3D CoordBase SymBase Boundary" +grid::domain = "bitant" +grid::avoid_origin = "false" +grid::type = "byspacing" +grid::dxyz = 0.2 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild GenericFD LoopControl" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "static" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +# automagically create output directory +ActiveThorns = "IOUtil" +IO::out_dir = $parfile +IO::parfile_write = "no" + +######################################## + +ActiveThorns = "SphericalSurface" + +ActiveThorns = "LocalInterp AEILocalInterp PUGHInterp PUGHReduce AHFinderDirect" + +AHFinderDirect::print_timing_stats = "true" + +AHFinderDirect::h_base_file_name = "h" +AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" +AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 +AHFinderDirect::output_OpenDX_control_files = "no" + +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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 + +AHFinderDirect::surface_selection[1] = "mean coordinate radius" +AHFinderDirect::desired_value[1] = 2.0 diff --git a/test/Kerr-selection-mean-coordinate-radius-EE/BH_diagnostics.ah1.gp b/test/Kerr-selection-mean-coordinate-radius-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..94d07da --- /dev/null +++ b/test/Kerr-selection-mean-coordinate-radius-EE/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 +0 0.000 0.000043 0.000004 0.000000 1.285113742 3.005450663 2.232995694 1.533276280 1.023420645e-05 0.000000000 1.533295973 -0.000000000 1.416074514 -2.145202824 2.144289606 -2.145285612 2.145149680 -2.058883836 2.058883836 13.98178868 12.51415466 12.86185717 0.8950324560 0.9199006983 57.68174457 1.071233796 2.142467593 0.06870260933 -1.273426199 -0.08748770264 0.6710644040 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6505477155 0.6803816718 38.65431532 diff --git a/test/Kerr-selection-mean-coordinate-radius-EE/h.t0.ah1.gp b/test/Kerr-selection-mean-coordinate-radius-EE/h.t0.ah1.gp new file mode 100644 index 0000000..2f1ca75 --- /dev/null +++ b/test/Kerr-selection-mean-coordinate-radius-EE/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 2.72579667115006 -1.073739442 -0.8737394418 1.573739442 +-40 -45 2.70496477389460 -0.8802721276 -0.9449442668 1.644944267 +-35 -45 2.68069309597894 -0.6894573203 -0.9987211010 1.698721101 +-30 -45 2.65377055965036 -0.5030309911 -1.037300638 1.737300638 +-25 -45 2.62476395919367 -0.3219333190 -1.062641691 1.762641691 +-20 -45 2.59405957791243 -0.1465526683 -1.076388857 1.776388857 +-15 -45 2.56190284977825 0.02308439458 -1.079873270 1.779873270 +-10 -45 2.52842996751155 0.1871724543 -1.074133172 1.774133172 +-5 -45 2.49369067308013 0.3460251108 -1.059941037 1.759941037 +0 -45 2.45766490745775 0.5000000000 -1.037831522 1.737831522 +5 -45 2.42028007453766 0.6494420941 -1.008130952 1.708130952 +10 -45 2.38142168680206 0.7946390887 -0.9709813072 1.670981307 +15 -45 2.34093996722965 0.9357818650 -0.9263600610 1.626360061 +20 -45 2.29865885809052 1.072925939 -0.8741010792 1.574101079 +25 -45 2.25438850366229 1.205951870 -0.8139186707 1.513918671 +30 -45 2.20792971081842 1.334518990 -0.7454292899 1.445429290 +35 -45 2.15909516557986 1.458017743 -0.6681911303 1.368191130 +40 -45 2.10773453604134 1.575521301 -0.5817563742 1.281756374 +45 -45 2.05375953873525 1.685738623 -0.4857386225 1.185738623 + +-45 -40 2.67993601622748 -1.129723769 -0.6675006132 1.629723769 +-40 -40 2.65770295693315 -0.9370630517 -0.7370630517 1.712625055 +-35 -40 2.63186668883865 -0.7440415080 -0.7908076728 1.776675400 +-30 -40 2.60319083423830 -0.5529431755 -0.8303088564 1.823751077 +-25 -40 2.57225304920777 -0.3652917009 -0.8570534482 1.855624041 +-20 -40 2.53947258583523 -0.1820348058 -0.8723680128 1.873875228 +-15 -40 2.50514031972842 -0.003705965893 -0.8773866917 1.879856257 +-10 -40 2.46944400341184 0.1694434534 -0.8730427371 1.874679333 +-5 -40 2.43248741420208 0.3373390993 -0.8600730001 1.859222603 +0 -40 2.39430963821324 0.5000000000 -0.8390325692 1.834147593 +5 -40 2.35490176679556 0.6574727336 -0.8103135345 1.799921581 +10 -40 2.31421944401175 0.8097783900 -0.7741642586 1.756840551 +15 -40 2.27219028688007 0.9568669444 -0.7307073705 1.705050649 +20 -40 2.22872635095670 1.098576631 -0.6799629273 1.644575776 +25 -40 2.18374069721539 1.234598294 -0.6218765485 1.575351126 +30 -40 2.13715454752709 1.364440004 -0.5563452854 1.497254007 +35 -40 2.08891199535725 1.487395463 -0.4832537126 1.410146863 +40 -40 2.03900908672874 1.602525251 -0.4025252514 1.313938429 +45 -40 1.98750990773250 1.708645325 -0.3141738463 1.208645325 + +-45 -35 2.63262849600139 -1.168263176 -0.4681304513 1.668263176 +-40 -35 2.60844046924244 -0.9775380083 -0.5329683067 1.760861230 +-35 -35 2.58063712891630 -0.7839774543 -0.5839774543 1.833709842 +-30 -35 2.54994547579216 -0.5901910834 -0.6221783299 1.888266346 +-25 -35 2.51694325256518 -0.3981232350 -0.6486217702 1.926031493 +-20 -35 2.48207357327263 -0.2091738488 -0.6643117709 1.948439136 +-15 -35 2.44566512863044 -0.02432043424 -0.6701594588 1.956790500 +-10 -35 2.40795176066899 0.1557710081 -0.6669588965 1.952219623 +-5 -35 2.36909072427354 0.3306498597 -0.6553784003 1.935680961 +0 -35 2.32918005714489 0.5000000000 -0.6359627968 1.907952605 +5 -35 2.28827419651566 0.6635731178 -0.6091425280 1.869649292 +10 -35 2.24639654079207 0.8211338488 -0.5752463678 1.821240558 +15 -35 2.20354938051411 0.9724138045 -0.5345165294 1.763072321 +20 -35 2.15972543138978 1.117073085 -0.4871279158 1.695394367 +25 -35 2.11492436511743 1.254670456 -0.4332130902 1.618396016 +30 -35 2.06916182427909 1.384639218 -0.3728860484 1.532240071 +35 -35 2.02247751940315 1.506269153 -0.3062691525 1.437101284 +40 -35 1.97496061982128 1.618706528 -0.2335324613 1.333222524 +45 -35 1.92675915824802 1.720962759 -0.1549273278 1.220962759 + +-45 -30 2.58456107165227 -1.191992393 -0.2768722634 1.691992393 +-40 -30 2.55794947652742 -1.003713322 -0.3346438721 1.792055754 +-35 -30 2.52782792076872 -0.8107101035 -0.3807350533 1.871888022 +-30 -30 2.49488953035614 -0.6157485172 -0.4157485172 1.932533120 +-25 -30 2.45970964517756 -0.4210470869 -0.4403775474 1.975191852 +-20 -30 2.42275000065183 -0.2283430432 -0.4553391252 2.001106065 +-15 -30 2.38437261494906 -0.03897461213 -0.4613288869 2.011480636 +-10 -30 2.34485455362034 0.1460353269 -0.4589922226 2.007433415 +-5 -30 2.30440351075412 0.3259003374 -0.4489087048 1.989968250 +0 -30 2.26317285887246 0.5000000000 -0.4315864294 1.959965189 +5 -30 2.22127555577812 0.6678192743 -0.4074635192 1.918183083 +10 -30 2.17879590288648 0.8288974910 -0.3769143451 1.865270361 +15 -30 2.13579870598989 0.9827858162 -0.3402588582 1.801781195 +20 -30 2.09234138789723 1.129013432 -0.2977768520 1.728200202 +25 -30 2.04848744103909 1.267063460 -0.2497255452 1.644972898 +30 -30 2.00431513578798 1.396356978 -0.1963569784 1.552535828 +35 -30 1.95992210033746 1.516243898 -0.1379354062 1.451346697 +40 -30 1.91544181729497 1.626009487 -0.07476125187 1.341925852 +45 -30 1.87104964036993 1.724889515 -0.007190291297 1.224889515 + +-45 -25 2.53616756287938 -1.203145407 -0.09418974619 1.703145407 +-40 -25 2.50676987873870 -1.017414737 -0.1432635245 1.808384464 +-35 -25 2.47405985283958 -0.8256441022 -0.1828211111 1.893215982 +-30 -25 2.43870566739219 -0.6306396238 -0.2131820721 1.958325273 +-25 -25 2.40128189324017 -0.4347749070 -0.2347749070 2.004631257 +-20 -25 2.36226781683928 -0.2400165658 -0.2480868470 2.033178805 +-15 -25 2.32205615563662 -0.04797198036 -0.2536267998 2.045059272 +-10 -25 2.28096384726630 0.1400543082 -0.2518987505 2.041353458 +-5 -25 2.23924366208180 0.3230021951 -0.2433843035 2.023094168 +0 -25 2.19709693722431 0.5000000000 -0.2285332885 1.991246063 +5 -25 2.15468611640418 0.6703140749 -0.2077605513 1.946698784 +10 -25 2.11214442025203 0.8333052759 -0.1814465152 1.890268152 +15 -25 2.06958361982592 0.9883920795 -0.1499408593 1.822704055 +20 -25 2.02710430442936 1.135021463 -0.1135702966 1.744707131 +25 -25 1.98480899097537 1.272649661 -0.07264966066 1.656952544 +30 -25 1.94280730251331 1.400729820 -0.02749115320 1.560109813 +35 -25 1.90121953448966 1.518706342 0.02158604009 1.454863432 +40 -25 1.86018695762537 1.626020831 0.07424339451 1.341939371 +45 -25 1.81987307704486 1.722122906 0.1301147297 1.222122906 + +-45 -20 2.48769390649333 -1.203550594 0.07995829126 1.703550594 +-40 -20 2.45525722665009 -1.020224297 0.04058320023 1.811732767 +-35 -20 2.41978228926318 -0.8300723620 0.008623911119 1.899540193 +-30 -20 2.38192209387538 -0.6358694820 -0.01606908930 1.967383654 +-25 -20 2.34225397314175 -0.4400543699 -0.03374692281 2.015953102 +-20 -20 2.30127460471570 -0.2447283093 -0.04472830931 2.046124213 +-15 -20 2.25940443205944 -0.05167626107 -0.04937243199 2.058883836 +-10 -20 2.21699441973351 0.1376002024 -0.04805760699 2.055271384 +-5 -20 2.17433450702811 0.3218436851 -0.04116569014 2.036335998 +0 -20 2.13166378615684 0.5000000000 -0.02907195366 2.003108730 +5 -20 2.08918118023838 0.6711791903 -0.01213946441 1.956587098 +10 -20 2.04705338795933 0.8346204785 0.009283846120 1.897727036 +15 -20 2.00542130999491 0.9896614853 0.03486567393 1.827441542 +20 -20 1.96440791143573 1.135713000 0.06428700005 1.746607113 +25 -20 1.92413059355008 1.272242205 0.09723662836 1.656078753 +30 -20 1.88470404888160 1.398760634 0.1334078703 1.556699082 +35 -20 1.84624317889212 1.514817340 0.1724945323 1.449309361 +40 -20 1.80887174820522 1.620001095 0.2141851508 1.334765328 +45 -20 1.77272013607206 1.713942934 0.2581609058 1.213942934 + +-45 -15 2.43924973701059 -1.194660438 0.2459171041 1.694660438 +-40 -15 2.40362649952243 -1.013467498 0.2167053127 1.803680328 +-35 -15 2.36530730643131 -0.8251397916 0.1929072916 1.892495752 +-30 -15 2.32493785640148 -0.6323806841 0.1744602955 1.961340878 +-25 -15 2.28310119061454 -0.4376286946 0.1612208332 2.010751225 +-20 -15 2.24030963668866 -0.2430392970 0.1529860938 2.041483690 +-15 -15 2.19700536012829 -0.05048783022 0.1495121698 2.054448551 +-10 -15 2.15356456824128 0.1384145322 0.1505291606 2.050653090 +-5 -15 2.11030331520875 0.3222968240 0.1557532304 2.031156596 +0 -15 2.06748543532483 0.5000000000 0.1648953939 1.997037577 +5 -15 2.02533125286561 0.6705478987 0.1776675070 1.949371402 +10 -15 1.98402383259867 0.8331194227 0.1937866007 1.889214126 +15 -15 1.94371504543929 0.9870226980 0.2129773020 1.817593453 +20 -15 1.90453204271615 1.131672572 0.2349725346 1.735506128 +25 -15 1.86658744728681 1.266573974 0.2595121085 1.643923191 +30 -15 1.82998211869311 1.391308298 0.2863423794 1.543791257 +35 -15 1.79480805752919 1.505523286 0.3152152929 1.436036077 +40 -15 1.76115557276138 1.608929245 0.3458862756 1.321570411 +45 -15 1.72911257016278 1.701295063 0.3781139580 1.201295063 + +-45 -10 2.39084732673504 -1.177595032 0.4041947331 1.677595032 +-40 -10 2.35198837807455 -0.9982231753 0.3851659099 1.785512852 +-35 -10 2.31084040670045 -0.8118302053 0.3696535717 1.873487693 +-30 -10 2.26804797422733 -0.6210290030 0.3576295709 1.941679190 +-25 -10 2.22419903657757 -0.4282094875 0.3490120342 1.990551670 +-20 -10 2.17981590852638 -0.2355128446 0.3436775677 2.020804932 +-15 -10 2.13535293763805 -0.04482423626 0.3414722817 2.033311731 +-10 -10 2.09119919829083 0.1422211839 0.3422211839 2.029064495 +-5 -10 2.04768264864113 0.3242238852 0.3457361404 2.009130186 +0 -10 2.00507655893134 0.5000000000 0.3518221095 1.974614941 +5 -10 1.96360632625443 0.6685588787 0.3602819503 1.926636799 +10 -10 1.92345511974195 0.8290798390 0.3709201610 1.866304508 +15 -10 1.88476930430842 0.9808891208 0.3835455037 1.794702632 +20 -10 1.84766524281068 1.123438664 0.3979723972 1.712883653 +25 -10 1.81223764673968 1.256288511 0.4140212747 1.621865946 +30 -10 1.77856248501121 1.379090809 0.4315192588 1.522629946 +35 -10 1.74670062677113 1.491576327 0.4503002321 1.416117754 +40 -10 1.71670406579856 1.593545291 0.4702042376 1.303236530 +45 -10 1.68861797048821 1.684859061 0.4910773792 1.184859061 + +-45 -5 2.34242977221338 -1.153187513 0.5553648339 1.653187513 +-40 -5 2.30037642159941 -0.9753437672 0.5461733868 1.758246235 +-35 -5 2.25650756577026 -0.7909685490 0.5386976620 1.843694160 +-30 -5 2.21146734035287 -0.6025734277 0.5329217448 1.909713196 +-25 -5 2.16584251475494 -0.4124606969 0.5288040835 1.956778279 +-20 -5 2.12015480797457 -0.2226974490 0.5262829540 1.985594922 +-15 -5 2.07485755929255 -0.03510531678 0.5252816193 1.997040230 +-10 -5 2.03033689710307 0.1487370805 0.5257128702 1.992111009 +-5 -5 1.98691573826088 0.3274828742 0.5274828742 1.971879772 +0 -5 1.94485961621807 0.5000000000 0.5304943156 1.937458838 +5 -5 1.90438298826650 0.6653510883 0.5346489117 1.889971587 +10 -5 1.86565489259573 0.8227717456 0.5398494177 1.830529533 +15 -5 1.82880401646345 0.9716481612 0.5460011508 1.760214901 +20 -5 1.79392471572583 1.111495354 0.5530129492 1.680069678 +25 -5 1.76108658544719 1.241938660 0.5607974357 1.591092591 +30 -5 1.73033687534708 1.362695743 0.5692715643 1.494232858 +35 -5 1.70170499221135 1.473560939 0.5783567146 1.390389114 +40 -5 1.67520799256886 1.574392716 0.5879785197 1.280411379 +45 -5 1.65085469568303 1.665103177 0.5980666802 1.165103177 + +-45 0 2.29389380063500 -1.122027862 0.7000000000 1.622027862 +-40 0 2.24877354751539 -0.9454837733 0.7000000000 1.722660480 +-35 0 2.20238049328235 -0.7632335548 0.7000000000 1.804084483 +-30 0 2.15535299430259 -0.5776764972 0.7000000000 1.866590447 +-25 0 2.10826470016550 -0.3909911629 0.7000000000 1.910736715 +-20 0 2.06162151090424 -0.2051160846 0.7000000000 1.937290521 +-15 0 2.01585827031107 -0.02174251258 0.7000000000 1.947169565 +-10 0 1.97133947917563 0.1576804919 0.7000000000 1.941390403 +-5 0 1.92836424424162 0.3319319820 0.7000000000 1.921026236 +0 0 1.88717306303822 0.5000000000 0.7000000000 1.887173063 +5 0 1.84795488486164 0.6610598806 0.7000000000 1.840922859 +10 0 1.81085301819069 0.8144513266 0.7000000000 1.783342092 +15 0 1.77596934726970 0.9596546906 0.7000000000 1.715454659 +20 0 1.74337131761861 1.096268108 0.7000000000 1.638233162 +25 0 1.71310256736812 1.223988429 0.7000000000 1.552598197 +30 0 1.68518303844296 1.342591519 0.7000000000 1.459411321 +35 0 1.65961630686502 1.451916807 0.7000000000 1.359478091 +40 0 1.63639337982365 1.551853389 0.7000000000 1.253550055 +45 0 1.61549679861667 1.642328741 0.7000000000 1.142328741 + +-45 5 2.24510894671032 -1.084502605 0.8386260153 1.584502605 +-40 5 2.19713253321726 -0.9091284184 0.8469226746 1.679333855 +-35 5 2.14849731074335 -0.7291748975 0.8535814214 1.755443680 +-30 5 2.09982236136546 -0.5469104817 0.8586433813 1.813302145 +-25 5 2.05165293730790 -0.3643530895 0.8621699650 1.853611182 +-20 5 2.00445825227291 -0.1832599488 0.8642373308 1.877241281 +-15 5 1.95863316467875 -0.005131070492 0.8649314255 1.885174820 +-10 5 1.91450064187483 0.1687775877 0.8643435739 1.878455645 +-5 5 1.87231691484926 0.3374330996 0.8625669004 1.858148174 +0 5 1.83228128622137 0.5000000000 0.8596938364 1.825308903 +5 5 1.79454481628508 0.6558142139 0.8558142139 1.780964615 +10 5 1.75921609614014 0.8043570665 0.8510137182 1.726094698 +15 5 1.72636435488680 0.9452289946 0.8453726706 1.661617229 +20 5 1.69603122327373 1.078126387 0.8389660477 1.588389193 +25 5 1.66823726450563 1.202821616 0.8318634229 1.507205820 +30 5 1.64298139991107 1.319142838 0.8241286546 1.418797014 +35 5 1.62025127426899 1.426960524 0.8158207146 1.323836825 +40 5 1.60002379388779 1.526173416 0.8069938985 1.222945856 +45 5 1.58226868015534 1.616698078 0.7976984224 1.116698078 + +-45 10 2.19592560835160 -1.040823561 0.9716887663 1.540823561 +-40 10 2.14538781274559 -0.8666180373 0.9871788085 1.628671956 +-35 10 2.09487563233728 -0.6892301705 0.9994731617 1.698396697 +-30 10 2.04496919024750 -0.5107677609 1.008695842 1.750701117 +-25 10 1.99616264895745 -0.3330446506 1.015002864 1.786470018 +-20 10 1.94886583735496 -0.1575857393 1.018570303 1.806701970 +-15 10 1.90341007295162 0.01435478370 1.019584298 1.812452622 +-10 10 1.86005563298842 0.1817670441 1.018232956 1.804788777 +-5 10 1.81899903939887 0.3438544253 1.014699947 1.784752086 +0 10 1.78038436901445 0.5000000000 1.009160501 1.753336330 +5 10 1.74431446491890 0.6497345401 1.001778977 1.711473625 +10 10 1.71085699403796 0.7927068786 0.9927068786 1.660023199 +15 10 1.68004873789975 0.9286557292 0.9820817253 1.599764960 +20 10 1.65190835880388 1.057386434 0.9700283093 1.531406641 +25 10 1.62643831004251 1.178750168 0.9566588082 1.455584433 +30 10 1.60362715455636 1.292625452 0.9420735907 1.372867554 +35 10 1.58345830761178 1.398906056 0.9263634454 1.283770893 +40 10 1.56590807679224 1.497487825 0.9096104085 1.188759699 +45 10 1.55094916394241 1.588260460 0.8918896812 1.088260460 + +-45 15 2.14618367411784 -0.9910537904 1.099526659 1.491053790 +-40 15 2.09346669087072 -0.8181722683 1.120931176 1.570936536 +-35 15 2.04152474162022 -0.6437438439 1.137677721 1.633435491 +-30 15 1.99087373750028 -0.4696719242 1.150026306 1.679521039 +-25 15 1.94192900986317 -0.2975154015 1.158267421 1.710277298 +-20 15 1.89501455777781 -0.1285159256 1.162703592 1.726833313 +-15 15 1.85037527906872 0.03636477591 1.163635224 1.730310212 +-10 15 1.80818947936816 0.1964033266 1.161350175 1.721782294 +-5 15 1.76857940808328 0.3510725091 1.156116248 1.702249010 +0 15 1.73162306409690 0.5000000000 1.148177028 1.672619439 +5 15 1.69736904382162 0.6429310506 1.137751110 1.633709384 +10 15 1.66584239401358 0.7796964671 1.125031054 1.586237489 +15 15 1.63704949331049 0.9101837164 1.110183716 1.530826470 +20 15 1.61098962082748 1.034313907 1.093353540 1.468015395 +25 15 1.58765458938021 1.152021254 1.074663734 1.398264090 +30 15 1.56703385248641 1.263237117 1.054219579 1.321965464 +35 15 1.54911853670260 1.367878186 1.032111905 1.239458502 +40 15 1.53389904747081 1.465834898 1.008419491 1.151037209 +45 15 1.52136776528759 1.556965068 0.9832129364 1.056965068 + +-45 20 2.09572748353752 -0.9351354843 1.222346598 1.435135484 +-40 20 2.04130764904645 -0.7639186851 1.248240951 1.506279634 +-35 20 1.98846486680775 -0.5929917843 1.268140807 1.560954038 +-30 20 1.93761918437572 -0.4239943258 1.282499826 1.600405118 +-25 20 1.88907753954730 -0.2581738004 1.291782466 1.625908962 +-20 20 1.84305220503669 -0.09644040299 1.296440403 1.638706539 +-15 20 1.79968050650046 0.06057401726 1.296896660 1.639960094 +-10 20 1.75904298919509 0.2124589861 1.293535770 1.630726125 +-5 20 1.72117727278160 0.3589735851 1.286697924 1.611939298 +0 20 1.68608971458786 0.5000000000 1.276676646 1.584406063 +5 20 1.65377233156649 0.6355035223 1.263721593 1.548812347 +10 20 1.62420800826820 0.7655002864 1.248039790 1.505726948 +15 20 1.59737550196001 0.8900293953 1.229798538 1.455609520 +20 20 1.57325977796161 1.009131371 1.209131371 1.398826945 +25 20 1.55184952645433 1.122828671 1.186140627 1.335660395 +30 20 1.53314538694149 1.231112517 1.160904252 1.266324025 +35 20 1.51715620327096 1.333929376 1.133479296 1.190974576 +40 20 1.50390097081075 1.431172006 1.103907808 1.109727583 +45 20 1.49340774646620 1.522672302 1.072222277 1.022672302 + +-45 25 2.04441348178652 -0.8729114284 1.340199113 1.372911428 +-40 25 1.98886636264489 -0.7039139108 1.369043646 1.434768728 +-35 25 1.93573518050689 -0.5372004229 1.390730210 1.481275716 +-30 25 1.88530291820678 -0.3740694749 1.405958431 1.513932740 +-25 25 1.83773734178033 -0.2153973707 1.415397371 1.534174612 +-20 25 1.79311728789625 -0.06172144751 1.419660533 1.543316993 +-15 25 1.75145631617783 0.08668140572 1.419291684 1.542525994 +-10 25 1.71272715677492 0.2297244487 1.414760491 1.532808820 +-5 25 1.67687788455261 0.3674535917 1.406461875 1.515012379 +0 25 1.64384232910707 0.5000000000 1.394717788 1.489827104 +5 25 1.61355682777488 0.6275412861 1.379784969 1.457803571 +10 25 1.58596487970395 0.7502719307 1.361859674 1.419362650 +15 25 1.56102176141932 0.8683787681 1.341083629 1.374808279 +20 25 1.53870277968104 0.9820222071 1.317552276 1.324345130 +25 25 1.51900104205227 1.091319187 1.291319187 1.268088090 +30 25 1.50193341289608 1.196330620 1.262404346 1.206080012 +35 25 1.48753612363324 1.297047609 1.230798918 1.138301953 +40 25 1.47586917064045 1.393383014 1.196474227 1.064692416 +45 25 1.46700891779331 1.485159473 1.159387407 0.9851594732 + +-45 30 1.99212796768317 -0.8041538866 1.452953597 1.304153887 +-40 30 1.93613313120366 -0.6381730601 1.483130511 1.356421833 +-35 30 1.88340179491319 -0.4765671711 1.505220293 1.394682459 +-30 30 1.83403880651303 -0.3202070889 1.520207089 1.420640351 +-25 30 1.78804231879974 -0.1695388507 1.528977241 1.435830699 +-20 30 1.74533933889619 -0.02469539374 1.532301651 1.441588746 +-15 30 1.70581217639234 0.1144103273 1.530830275 1.439040249 +-10 30 1.66932275927959 0.2480094090 1.525096845 1.429109657 +-5 30 1.63573109284098 0.3764191123 1.515528046 1.412536010 +0 30 1.60490284320725 0.5000000000 1.502451422 1.389886633 +5 30 1.57672365094828 0.6191228248 1.486108648 1.361580118 +10 30 1.55110238534639 0.7341447779 1.466664013 1.327901022 +15 30 1.52797534882292 0.8453906138 1.444213341 1.289015319 +20 30 1.50731087136041 0.9531377100 1.418792786 1.244985626 +25 30 1.48910937563449 1.057602339 1.390385103 1.195782076 +30 30 1.47340626241968 1.158927312 1.358927312 1.141295583 +35 30 1.46027306509045 1.257169681 1.324317928 1.081350371 +40 30 1.44981560137544 1.352286980 1.286423947 1.015716071 +45 30 1.44217106054285 1.444122579 1.245089425 0.9441225786 + +-45 35 1.93880159156942 -0.7285938958 1.560270707 1.228593896 +-40 35 1.88315016419950 -0.5667009563 1.590135120 1.271244697 +-35 35 1.83157687437045 -0.4112879088 1.611287909 1.301454010 +-30 35 1.78397136224302 -0.2627102974 1.625011260 1.321052987 +-25 35 1.74013958434881 -0.1209356494 1.632396916 1.331600797 +-20 35 1.69984638834366 0.01432277487 1.634347983 1.334387209 +-15 35 1.66284419146381 0.1435067179 1.631591848 1.330451041 +-10 35 1.62889012693062 0.2671418442 1.624697034 1.320604226 +-5 35 1.59776419749697 0.3857867332 1.614095463 1.305463613 +0 35 1.56927294742111 0.5000000000 1.600097985 1.285473143 +5 35 1.54325886010098 0.6103170519 1.582912462 1.260929673 +10 35 1.51960183687344 0.7172348371 1.562655674 1.231999982 +15 35 1.49822255495097 0.8212004339 1.539364221 1.198736339 +20 35 1.47908352558293 0.9226012347 1.513002115 1.161087350 +25 35 1.46219364845113 1.021755939 1.483468672 1.118909222 +30 35 1.44760778319497 1.118903076 1.450602575 1.071971572 +35 35 1.43543066220289 1.214188208 1.414188208 1.019966466 +40 35 1.42581533038885 1.307645936 1.373960220 0.9625149454 +45 35 1.41896614707123 1.399180790 1.329613167 0.8991807900 + +-45 40 1.88443097124016 -0.6459609205 1.661575386 1.145960921 +-40 40 1.83002399957473 -0.4895236286 1.689523629 1.179268339 +-35 40 1.78042618555654 -0.3415791294 1.708513474 1.201899556 +-30 40 1.73527982424567 -0.2018890142 1.720099659 1.215707434 +-25 40 1.69419148800253 -0.06991664748 1.725539342 1.222190195 +-20 40 1.65676664871454 0.05503653564 1.725822014 1.222527071 +-15 40 1.62263752395664 0.1737379560 1.721709968 1.217626525 +-10 40 1.59147213592347 0.2869676200 1.713772202 1.208166664 +-5 40 1.56298424701715 0.3954829431 1.702418146 1.194635427 +0 40 1.53693391493853 0.5000000000 1.687922077 1.177359685 +5 40 1.51313080266988 0.6011833475 1.670444697 1.156530954 +10 40 1.49143241056634 0.6996411931 1.650046617 1.132221469 +15 40 1.47174700868937 0.7959226446 1.626700244 1.104398345 +20 40 1.45403210104548 0.8905143561 1.600294643 1.072929375 +25 40 1.43830049193321 0.9838363315 1.570641689 1.037590361 +30 40 1.42462093171206 1.076233163 1.537476070 0.9980651149 +35 40 1.41312459415409 1.167961511 1.500457332 0.9539479010 +40 40 1.40400939843393 1.259170631 1.459170631 0.9047443269 +45 40 1.39754487323774 1.349875551 1.413130261 0.8498755507 + +-45 45 1.82911161330686 -0.5560380823 1.756038082 1.056038082 +-40 45 1.77694586522106 -0.4067285732 1.780597035 1.080597035 +-35 45 1.73017549333061 -0.2677006775 1.796390192 1.096390192 +-30 45 1.68818202874067 -0.1380728308 1.805174562 1.105174562 +-25 45 1.65037755505410 -0.01680849118 1.808299386 1.108299386 +-20 45 1.61622867827968 0.09716539532 1.806778980 1.106778980 +-15 45 1.58526827465854 0.2048915500 1.801359729 1.101359729 +-10 45 1.55709764974492 0.3073496033 1.792574692 1.092574692 +-5 45 1.53138359638227 0.4054435171 1.780785546 1.080785546 +0 45 1.50785534078843 0.5000000000 1.766214737 1.066214737 +5 45 1.48630067097452 0.5917728023 1.748967930 1.048967930 +10 45 1.46656194205269 0.6814489540 1.729048154 1.029048154 +15 45 1.44853722893975 0.7696550377 1.706366301 1.006366301 +20 45 1.43217783444205 0.8569611154 1.680742604 0.9807426042 +25 45 1.41749491943514 0.9438823155 1.651908697 0.9519086975 +30 45 1.40456265326869 1.030874783 1.619502097 0.9195020967 +35 45 1.39352668460428 1.118325357 1.583060126 0.8830601263 +40 45 1.38461552717400 1.206532757 1.542012952 0.8420129516 +45 45 1.37815158236250 1.295676187 1.495676187 0.7956761871 + + +### +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 2.05375974602695 1.685738742 -0.4857387422 1.185738742 +45 -40 1.98751010587808 1.708645445 -0.3141739474 1.208645445 +45 -35 1.92675933213167 1.720962869 -0.1549274049 1.220962869 +45 -30 1.87104970803708 1.724889559 -0.007190316872 1.224889559 +45 -25 1.81987313173160 1.722122943 0.1301147126 1.222122943 +45 -20 1.77272019949756 1.713942978 0.2581608900 1.213942978 +45 -15 1.72911259832737 1.701295082 0.3781139528 1.201295082 +45 -10 1.68861799561225 1.684859079 0.4910773761 1.184859079 +45 -5 1.65085470889057 1.665103186 0.5980666794 1.165103186 +45 0 1.61549680738804 1.642328747 0.7000000000 1.142328747 +45 5 1.58226868785685 1.616698083 0.7976984229 1.116698083 +45 10 1.55094917067551 1.588260465 0.8918896820 1.088260465 +45 15 1.52136778112803 1.556965079 0.9832129393 1.056965079 +45 20 1.49340775631749 1.522672308 1.072222280 1.022672308 +45 25 1.46700894202979 1.485159489 1.159387414 0.9851594895 +45 30 1.44217108434789 1.444122594 1.245089434 0.9441225942 +45 35 1.41896620518666 1.399180827 1.329613193 0.8991808268 +45 40 1.39754491097993 1.349875574 1.413130280 0.8498755737 +45 45 1.37815155578587 1.295676172 1.495676172 0.7956761717 + +50 -45 2.06668490282430 1.756793255 -0.5567932548 1.054574757 +50 -40 1.99719455281354 1.786993124 -0.3799154554 1.079915455 +50 -35 1.93273004865690 1.804714234 -0.2135707422 1.094785233 +50 -30 1.87307635223412 1.812245330 -0.05762519456 1.101104572 +50 -25 1.81791519868465 1.811444513 0.08846338045 1.100432607 +50 -20 1.76688128776939 1.803780594 0.2254626718 1.094001815 +50 -15 1.71960332388774 1.790389621 0.3542411431 1.082765455 +50 -10 1.67572471434163 1.772127040 0.4756896800 1.067441330 +50 -5 1.63491937955815 1.749617591 0.5906726270 1.048553660 +50 0 1.59690224048530 1.723298088 0.7000000000 1.026468974 +50 5 1.56142944240742 1.693447043 0.8044130868 1.001420974 +50 10 1.52830627388062 1.660214276 0.9045770803 0.9735353711 +50 15 1.49738589543937 1.623637755 1.001077829 0.9428440256 +50 20 1.46857483014017 1.583660446 1.094420146 0.9092990805 +50 25 1.44183415424300 1.540139546 1.185025036 0.8727807096 +50 30 1.41718344895460 1.492854541 1.273224837 0.8331038795 +50 35 1.39470877918064 1.441516069 1.359256649 0.7900257859 +50 40 1.37456411955879 1.385769775 1.443249092 0.7432490916 +50 45 1.35698367294761 1.325209457 1.525209457 0.6924329512 + +55 -45 2.07781063382597 1.816682157 -0.6166821569 0.9219507717 +55 -40 2.00576458909875 1.854017139 -0.4361552817 0.9480930074 +55 -35 1.93822532710888 1.877234644 -0.2643500799 0.9643500799 +55 -30 1.87519313629011 1.888603845 -0.1017108037 0.9723108799 +55 -25 1.81653542002009 1.890060910 0.05180395254 0.9733311275 +55 -20 1.76204010885450 1.883209565 0.1965528906 0.9685337643 +55 -15 1.71145693408136 1.869346372 0.3330847456 0.9588266518 +55 -10 1.66451978632837 1.849490568 0.4620484026 0.9449234688 +55 -5 1.62097270622859 1.824426276 0.5841277152 0.9273732622 +55 0 1.58058253387681 1.794737414 0.7000000000 0.9065848971 +55 5 1.54314499822956 1.760836642 0.8103089127 0.8828473210 +55 10 1.50849577221448 1.722995866 0.9156471684 0.8563509244 +55 15 1.47650976965591 1.681363817 1.016545481 0.8271998497 +55 20 1.44710990716243 1.635987913 1.113465787 0.7954272997 +55 25 1.42026608360441 1.586825141 1.206794886 0.7610031565 +55 30 1.39600196067073 1.533756818 1.296839777 0.7238443168 +55 35 1.37439692625460 1.476598043 1.383821312 0.6838213117 +55 40 1.35558608052938 1.415105789 1.467864930 0.6407639714 +55 45 1.33976750225743 1.348993617 1.548993617 0.5944717302 + +60 -45 2.08720403238801 1.866395781 -0.6663957813 0.7888889722 +60 -40 2.01317424022548 1.910395520 -0.4834623605 0.8142922330 +60 -35 1.94313338821446 1.938914447 -0.3075387425 0.8307576432 +60 -30 1.87726296992234 1.954121644 -0.1395375225 0.8395375225 +60 -25 1.81560056474026 1.957960475 0.02014186539 0.8417538725 +60 -20 1.75808449435886 1.952115795 0.1714730738 0.8383794454 +60 -15 1.70458791967429 1.938007454 0.3146870640 0.8302339907 +60 -10 1.65494456880324 1.916800467 0.4501798513 0.8179901312 +60 -5 1.60897703939273 1.889432540 0.5784404040 0.8021892510 +60 0 1.56651054272531 1.856637925 0.7000000000 0.7832552714 +60 5 1.52738409510624 1.818972932 0.8153951790 0.7615093773 +60 10 1.49146423708442 1.776844716 0.9251421736 0.7371866406 +60 15 1.45864494340076 1.730527494 1.029718848 0.7104453800 +60 20 1.42885877421178 1.680186960 1.129552924 0.6813812592 +60 25 1.40207502519880 1.625891900 1.225012015 0.6500339915 +60 30 1.37830772935307 1.567632576 1.316397955 0.6163979553 +60 35 1.35761391305164 1.505329991 1.403939638 0.5804275412 +60 40 1.34009379596375 1.438846846 1.487786042 0.5420434793 +60 45 1.32589510862885 1.368002100 1.568002100 0.5011412460 + +65 -45 2.09495194423086 1.906850176 -0.7068501757 0.6560250108 +65 -40 2.01941011348693 1.956802998 -0.5224028587 0.6793183946 +65 -35 1.94737706769837 1.990184396 -0.3434383476 0.6948843960 +65 -30 1.87917880805831 2.009014967 -0.1712301976 0.7036652355 +65 -25 1.81500018946306 2.015193248 -0.006546215207 0.7065462152 +65 -20 1.75491705636490 2.010438460 0.1502453600 0.7043290210 +65 -15 1.69892072581765 1.996257347 0.2990790523 0.6977162594 +65 -10 1.64694565802362 1.973937528 0.4401050460 0.6873083569 +65 -5 1.59889540930510 1.944557389 0.5736176047 0.6736081730 +65 0 1.55465629367102 1.908997105 0.7000000000 0.6570261404 +65 5 1.51411153013800 1.867957520 0.8196807751 0.6378890674 +65 10 1.47715664269008 1.821984487 0.9331015331 0.6164514901 +65 15 1.44370075442755 1.771482434 1.040692691 0.5929019964 +65 20 1.41367985150740 1.716739224 1.142856860 0.5673748182 +65 25 1.38705427310389 1.657936667 1.239954735 0.5399547353 +65 30 1.36381887295576 1.595171510 1.332297566 0.5106868619 +65 35 1.34399946806409 1.528463911 1.420138183 0.4795805980 +65 40 1.32765503071582 1.457770696 1.503665038 0.4466158102 +65 45 1.31487832442874 1.382997248 1.582997248 0.4117483789 + +70 -45 2.10114672075006 1.938846530 -0.7388465296 0.5236973084 +70 -40 2.02447839091069 1.993861335 -0.5534984950 0.5437210600 +70 -35 1.95090175560799 2.031466824 -0.3723446144 0.5574083386 +70 -30 1.88085309310923 2.053518329 -0.1969242252 0.5654344300 +70 -25 1.81463822816212 2.061839838 -0.02829787710 0.5684632116 +70 -20 1.75244997160007 2.058149693 0.1328798911 0.5671201089 +70 -15 1.69438636535617 2.044010736 0.2862835703 0.5619739491 +70 -10 1.64047524172221 2.020807536 0.4318405990 0.5535286750 +70 -5 1.59069714527552 1.989740354 0.5696646074 0.5422211457 +70 0 1.54499673284334 1.951822029 0.7000000000 0.5284200040 +70 5 1.50329882063291 1.907888940 0.8231743217 0.5124296672 +70 10 1.46552476263817 1.858619165 0.9395612152 0.4944969357 +70 15 1.43159481983861 1.804541760 1.049550911 0.4748143699 +70 20 1.40144423985593 1.746061199 1.153529186 0.4535291865 +70 25 1.37502005700135 1.683465150 1.251858863 0.4307460878 +70 30 1.35229323259883 1.616946523 1.344869376 0.4065352876 +70 35 1.33325502050372 1.546611304 1.432845125 0.3809353617 +70 40 1.31792186171631 1.472493715 1.516019118 0.3539587653 +70 45 1.30633420506746 1.394566010 1.594566010 0.3255954001 + +75 -45 2.10586960254546 1.963045727 -0.7630457266 0.3920219209 +75 -40 2.02839197739293 2.022104498 -0.5771973233 0.4078466712 +75 -35 1.95366888601600 2.063141524 -0.3945234784 0.4188425090 +75 -30 1.88221693754460 2.087857074 -0.2167497091 0.4254650206 +75 -25 1.81443438489125 2.097991441 -0.04515564655 0.4281805161 +75 -20 1.75060723910638 2.095242045 0.1193793791 0.4274438178 +75 -15 1.69092262167558 2.081203939 0.2763176813 0.4236823187 +75 -10 1.63548826754157 2.057333882 0.4254000186 0.4172863561 +75 -5 1.58435138152134 2.024930438 0.5665858740 0.4086038794 +75 0 1.53750747579935 1.985118179 0.7000000000 0.3979362167 +75 5 1.49491776042230 1.938851016 0.8258831524 0.3855389678 +75 10 1.45652492993795 1.886922590 0.9445518727 0.3716247879 +75 15 1.42225693572221 1.829971130 1.056364690 0.3563646902 +75 20 1.39204494537303 1.768501910 1.161696937 0.3398940623 +75 25 1.36582155372534 1.702893403 1.260918406 0.3223143160 +75 30 1.34353370077409 1.633418496 1.354379474 0.3036985707 +75 35 1.32514019794432 1.560252166 1.442396559 0.2840937117 +75 40 1.31061982407765 1.483488572 1.525244898 0.2635249687 +75 45 1.29996864327048 1.403148783 1.603148783 0.2419979870 + +80 -45 2.10919140423383 1.979964439 -0.7799644386 0.2609576610 +80 -40 2.03117144769260 2.041964560 -0.5938618933 0.2718899552 +80 -35 1.95565889649576 2.085528305 -0.4101988714 0.2795714189 +80 -30 1.88322490064423 2.112231594 -0.2308223445 0.2842799291 +80 -25 1.81433195344350 2.123740250 -0.05716251332 0.2863092157 +80 -20 1.74933394191327 2.121725323 0.1097402543 0.2859539297 +80 -15 1.68848466738961 2.107797765 0.2691918871 0.2834981256 +80 -10 1.63195283491038 2.083463478 0.4207926659 0.2792073341 +80 -5 1.57983709250552 2.050092928 0.5643844414 0.2733232057 +80 0 1.53217224233365 2.008895103 0.7000000000 0.2660589178 +80 5 1.48894742081455 1.960914469 0.8278134544 0.2575986373 +80 10 1.45012185005281 1.907035141 0.9480982582 0.2480982582 +80 15 1.41562845822973 1.847980420 1.061190265 0.2376853176 +80 20 1.38539359524753 1.784333324 1.167459101 0.2264626172 +80 25 1.35933698661098 1.716541534 1.267282634 0.2145090956 +80 30 1.33738541791424 1.644937614 1.361030039 0.2018833925 +80 35 1.31947168268147 1.569746726 1.449044721 0.1886252103 +80 40 1.30554481545499 1.491104832 1.531635699 0.1747585226 +80 45 1.29556733211814 1.409065709 1.609065709 0.1602928117 + +85 -45 2.11116318449773 1.989969371 -0.7899693711 0.1303554290 +85 -40 2.03283145729428 2.053753648 -0.6037541127 0.1359358301 +85 -35 1.95685690327994 2.098862640 -0.4195356733 0.1398823556 +85 -30 1.88384182269997 2.126792095 -0.2392288540 0.1423258662 +85 -25 1.81428655207778 2.139157276 -0.06435159082 0.1434076794 +85 -20 1.74858612877181 2.137608596 0.1039592157 0.1432721874 +85 -15 1.68703552078741 2.123763419 0.2649139033 0.1420608914 +85 -10 1.62984157247052 2.099155955 0.4180256587 0.1399080173 +85 -5 1.57713538684960 2.065200429 0.5630627063 0.1369372937 +85 0 1.52897664691399 2.023158429 0.7000000000 0.1332590953 +85 5 1.48537198326378 1.974131444 0.8289697899 0.1289697899 +85 10 1.44629085289459 1.919061011 0.9502187436 0.1241517514 +85 15 1.41166893446193 1.858724429 1.064069114 0.1188729844 +85 20 1.38142889380221 1.793753733 1.170887849 0.1131887850 +85 25 1.35548163201289 1.724639833 1.271058933 0.1071421023 +85 30 1.33374059249167 1.651752035 1.364964347 0.1007652462 +85 35 1.31612165126576 1.575345742 1.452965195 0.09408056178 +85 40 1.30255523502434 1.495581774 1.535392299 0.08710211880 +85 45 1.29298319978867 1.412532664 1.612532664 0.07983626320 + +90 -45 2.11181568739794 1.993279193 -0.7932791932 0.000000000 +90 -40 2.03338221530830 2.057661147 -0.6070328938 0.000000000 +90 -35 1.95725561819053 2.103289941 -0.4226357025 0.000000000 +90 -30 1.88404821242210 2.131633614 -0.2420241062 0.000000000 +90 -25 1.81427284309766 2.144289606 -0.06674483527 0.000000000 +90 -20 1.74833832301857 2.142900621 0.1020330762 0.000000000 +90 -15 1.68655352878284 2.129085611 0.2634878262 0.000000000 +90 -10 1.62913828017719 2.104388009 0.4171031065 0.000000000 +90 -5 1.57623477334285 2.070236724 0.5626220876 0.000000000 +90 0 1.52791121095695 2.027911211 0.7000000000 0.000000000 +90 5 1.48418019085803 1.978532437 0.8293548269 0.000000000 +90 10 1.44501461256300 1.923061594 0.9509241542 0.000000000 +90 15 1.41035103988257 1.862294494 1.065025709 0.000000000 +90 20 1.38011077504200 1.796879911 1.172025685 0.000000000 +90 25 1.35420158331315 1.727323440 1.272310319 0.000000000 +90 30 1.33253225070311 1.654006780 1.366266125 0.000000000 +90 35 1.31501283433644 1.577195452 1.454260375 0.000000000 +90 40 1.30156738311635 1.497058461 1.536631387 0.000000000 +90 45 1.29213077070889 1.413674430 1.613674430 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 1.37815160191258 1.295676198 1.495676198 0.7956761983 +40 45 1.38461562314701 1.206532806 1.542013010 0.8420130099 +35 45 1.39352676933966 1.118325395 1.583060180 0.8830601800 +30 45 1.40456270481404 1.030874803 1.619502130 0.9195021304 +25 45 1.41749495001272 0.9438823251 1.651908718 0.9519087180 +20 45 1.43217784810219 0.8569611188 1.680742614 0.9807426136 +15 45 1.44853723582007 0.7696550390 1.706366306 1.006366306 +10 45 1.46656194935461 0.6814489549 1.729048159 1.029048159 +5 45 1.48630067869764 0.5917728028 1.748967936 1.048967936 +0 45 1.50785535097218 0.5000000000 1.766214744 1.066214744 +-5 45 1.53138361089133 0.4054435162 1.780785556 1.080785556 +-10 45 1.55709767339249 0.3073496004 1.792574709 1.092574709 +-15 45 1.58526830645266 0.2048915441 1.801359751 1.101359751 +-20 45 1.61622873889375 0.09716538021 1.806779022 1.106779022 +-25 45 1.65037762861965 -0.01680851422 1.808299435 1.108299435 +-30 45 1.68818215017645 -0.1380728767 1.805174641 1.105174641 +-35 45 1.73017567885809 -0.2677007598 1.796390310 1.096390310 +-40 45 1.77694602639517 -0.4067286554 1.780597133 1.080597133 +-45 45 1.82911178917923 -0.5560381839 1.756038184 1.056038184 + +45 50 1.35698371430081 1.325209482 1.525209482 0.6924329723 +40 50 1.36113798627923 1.235989364 1.577117968 0.7359893638 +35 50 1.36817640009051 1.146715215 1.623605045 0.7749966530 +30 50 1.37779714130392 1.057293794 1.665261166 0.8099502887 +25 50 1.38977652778735 0.9675131383 1.702585161 0.8412688384 +20 50 1.40396317494814 0.8770671740 1.735983546 0.8692934114 +15 50 1.42027308671642 0.7855728365 1.765772335 0.8942891733 +10 50 1.43868257933990 0.6925801697 1.792176415 0.9164448270 +5 50 1.45922801283033 0.5975788576 1.815331445 0.9358742045 +0 50 1.48199960935522 0.5000000000 1.835277565 0.9526109865 +-5 50 1.50714365334294 0.3992170144 1.851954797 0.9666048454 +-10 50 1.53485935221179 0.2945457332 1.865189048 0.9777097003 +-15 50 1.56540139748712 0.1852463646 1.874676559 0.9856706677 +-20 50 1.59907866944016 0.07052999281 1.879959147 0.9901032851 +-25 50 1.63625472438774 -0.05042704060 1.880394598 0.9904686717 +-30 50 1.67734086788081 -0.1784537640 1.875116390 0.9860397293 +-35 50 1.72278976532928 -0.3143353106 1.862991351 0.9758656134 +-40 50 1.77307016225415 -0.4587277659 1.842567259 0.9587277659 +-45 50 1.82863608550566 -0.6120309122 1.812030912 0.9331047283 + +45 55 1.33976754580020 1.348993644 1.548993644 0.5944717496 +40 55 1.34175974892421 1.260033074 1.605772146 0.6342284845 +35 55 1.34697274094678 1.170176605 1.657111383 0.6701766054 +30 55 1.35514621166338 1.079372512 1.703502628 0.7026601047 +25 55 1.36608112462280 0.9874600163 1.745361378 0.7319699174 +20 55 1.37963807676362 0.8941878498 1.783022216 0.7583403199 +15 55 1.39573774954684 0.7992289559 1.816737667 0.7819481323 +10 55 1.41435527398187 0.7021893038 1.846672523 0.8029087444 +5 55 1.43552241294080 0.6026157080 1.872902910 0.8212754589 +0 55 1.45932142051862 0.5000000000 1.895406125 0.8370323799 +-5 55 1.48588683829351 0.3937840827 1.914053490 0.8500894057 +-10 55 1.51540103144911 0.2833656895 1.928594227 0.8602709388 +-15 55 1.54809546950181 0.1681074284 1.938639940 0.8673050230 +-20 55 1.58424436140127 0.04735238981 1.943639088 0.8708054642 +-25 55 1.62416347743080 -0.07955178573 1.942852815 0.8702549101 +-30 55 1.66819498358167 -0.2132118368 1.935319138 0.8649797724 +-35 55 1.71669726303657 -0.3541303839 1.919824605 0.8541303839 +-40 55 1.77001530939358 -0.5026162858 1.894871561 0.8366580739 +-45 55 1.82844410378102 -0.6586617602 1.858661760 0.8113036987 + +45 60 1.32589513623543 1.368002118 1.568002118 0.5011412564 +40 60 1.32594765075461 1.279470105 1.628936298 0.5363216217 +35 60 1.32946993990731 1.189346640 1.684489029 0.5683950061 +30 60 1.33625282737822 1.097590431 1.735056989 0.5975904314 +25 60 1.34613501719816 1.004065079 1.780971050 0.6240989266 +20 60 1.35900246122175 0.9085522601 1.822488109 0.6480688120 +15 60 1.37479229461930 0.8107644078 1.859788559 0.6696042369 +10 60 1.39348850406542 0.7103523658 1.892967548 0.6887601348 +5 60 1.41512440063934 0.6069138628 1.922031044 0.7055399520 +0 60 1.43977784482017 0.5000000000 1.946884189 0.7198889224 +-5 60 1.46757240701462 0.3891236453 1.967322533 0.7316890056 +-10 60 1.49867151491017 0.2737698605 1.983014877 0.7407489847 +-15 60 1.53327860268162 0.1534106142 1.993489197 0.7467963362 +-20 60 1.57162656625739 0.02752728273 1.998108122 0.7494630737 +-25 60 1.61397519809687 -0.1043587939 1.996051616 0.7482757494 +-30 60 1.66059095084634 -0.2426388498 1.986288219 0.7426388498 +-35 60 1.71173308660949 -0.3875548184 1.967559645 0.7318259021 +-40 60 1.76762715982960 -0.5391153280 1.938369425 0.7149729210 +-45 60 1.82842463386319 -0.6969848982 1.896984898 0.6910795532 + +45 65 1.31487833866802 1.382997258 1.582997258 0.4117483834 +40 65 1.31325687991141 1.294949453 1.647383866 0.4417723519 +35 65 1.31528319261772 1.204751506 1.706489458 0.4693337423 +30 65 1.32080123163398 1.112353605 1.760627557 0.4945787521 +25 65 1.32969230768081 1.017624776 1.810049915 0.5176247765 +20 65 1.34187498107279 0.9203628853 1.854937535 0.5385562174 +15 65 1.35731010117191 0.8203057352 1.895397278 0.5574229051 +10 65 1.37599715414865 0.7171381402 1.931451587 0.5742353055 +5 65 1.39797645733533 0.6105010448 1.963032722 0.5889618307 +0 65 1.42332516459436 0.5000000000 1.989970680 0.6015232070 +-5 65 1.45215740927984 0.3852162995 2.011983700 0.6117880467 +-10 65 1.48461718078674 0.2657211626 2.028661311 0.6195649444 +-15 65 1.52087769420051 0.1410946566 2.039452977 0.6245971808 +-20 65 1.56112775588917 0.01095282573 2.043646068 0.6265524515 +-25 65 1.60556806891156 -0.1250181399 2.040355726 0.6250181399 +-30 65 1.65438918728292 -0.2670125974 2.028504789 0.6194919569 +-35 65 1.70775530759883 -0.4150448600 2.006819493 0.6093799373 +-40 65 1.76578223692866 -0.5688751333 1.973835780 0.5939993795 +-45 65 1.82850019416815 -0.7279163856 1.927916386 0.5725868142 + +45 70 1.30633421567580 1.394566017 1.594566017 0.3255954027 +40 70 1.30332956233268 1.306983988 1.661726066 0.3500396617 +35 70 1.30409467282436 1.216816670 1.723720298 0.3726037166 +30 70 1.30852291158842 1.123996581 1.780793781 0.3933767658 +25 70 1.31653758931733 1.028387155 1.833129911 0.4124255593 +20 70 1.32809223916835 0.9297913364 1.880841992 0.4297913364 +15 70 1.34317408881919 0.8279613197 1.923968308 0.4454880318 +10 70 1.36180153849097 0.7226061543 1.962462236 0.4594986758 +5 70 1.38402519676343 0.6134015157 1.996185256 0.4717728513 +0 70 1.40992404324551 0.5000000000 2.024895219 0.4822224233 +-5 70 1.43960413171092 0.3820445676 2.048236762 0.4907180502 +-10 70 1.47319113257894 0.2591856057 2.065726296 0.4970837200 +-15 70 1.51082886443521 0.1311026007 2.076743837 0.5010937769 +-20 70 1.55266333194373 -0.002466040237 2.080514100 0.5024660402 +-25 70 1.59883821592207 -0.1416873955 2.076103061 0.5008605533 +-30 70 1.64947389803284 -0.2865862057 2.062407273 0.4958756943 +-35 70 1.70464953721694 -0.4369881110 2.038157703 0.4870495727 +-40 70 1.76438562013641 -0.5924565702 2.001939042 0.4738670582 +-45 70 1.82861570926561 -0.7522197242 1.952219724 0.4557707064 + +45 75 1.29996864766741 1.403148786 1.603148786 0.2419979878 +40 75 1.29588362909825 1.315966106 1.672430538 0.2605619773 +35 75 1.29564876033510 1.225874276 1.736655900 0.2777711113 +30 75 1.29919887496468 1.132785821 1.796017193 0.2936769217 +25 75 1.30649383554769 1.036553577 1.850642858 0.3083138246 +20 75 1.31751908111552 0.9369790835 1.900590165 0.3216971651 +15 75 1.33228712285216 0.8338216013 1.945839177 0.3338216013 +10 75 1.35083531936802 0.7268064901 1.986283524 0.3446586315 +5 75 1.37322554816720 0.6156357664 2.021722858 0.3541545725 +0 75 1.39953968059888 0.5000000000 2.051851522 0.3622275237 +-5 75 1.42987790402900 0.3795936854 2.076250473 0.3687652029 +-10 75 1.46435019596863 0.2541342579 2.094373913 0.3736213640 +-15 75 1.50307431127545 0.1233854813 2.105544519 0.3766145187 +-20 75 1.54615847535898 -0.01281148275 2.108937969 0.3775237911 +-25 75 1.59369625611649 -0.1545024576 2.103585050 0.3760894806 +-30 75 1.64574849498799 -0.3015757503 2.088369926 0.3720126004 +-35 75 1.70232400678111 -0.4537100205 2.062039065 0.3649572675 +-40 75 1.76336696280991 -0.6103216686 2.023229837 0.3545583663 +-45 75 1.82873602734805 -0.7705081201 1.970508120 0.3404316248 + +45 80 1.29556733455920 1.409065711 1.609065711 0.1602928120 +40 80 1.29070955855675 1.322185599 1.679842641 0.1727726945 +35 80 1.28975137267411 1.232172937 1.745651321 0.1843765403 +30 80 1.29265862944276 1.138922911 1.806646944 0.1951317144 +25 80 1.29941964838469 1.042277749 1.862918385 0.2050538876 +20 80 1.31004509110197 0.9420350305 1.914481265 0.2141458146 +15 80 1.32456811724535 0.8379566910 1.961271541 0.2223962028 +10 80 1.34304202892614 0.7297781997 2.003136927 0.2297781997 +5 80 1.36553852427996 0.6172198517 2.039829036 0.2362480086 +0 80 1.39214256282520 0.5000000000 2.070992789 0.2417430191 +-5 80 1.42295037137117 0.3778518302 2.096159970 0.2461806720 +-10 80 1.45805986521369 0.2505436437 2.114737298 0.2494563563 +-15 80 1.49756832209848 0.1179032033 2.126004659 0.2514430960 +-20 80 1.54155437729578 -0.02015082594 2.129102649 0.2519893552 +-25 80 1.59007273151552 -0.1635739747 2.123038981 0.2509201669 +-30 80 1.64313887140321 -0.3121549243 2.106693593 0.2480380340 +-35 80 1.70070935623134 -0.4654677568 2.078830853 0.2431250811 +-40 80 1.76267305293766 -0.6228276649 2.038133903 0.2359491110 +-45 80 1.82883564141373 -0.7832461330 1.983246133 0.2262709161 + +45 85 1.29298320081576 1.412532665 1.612532665 0.07983626327 +40 85 1.28766194170390 1.325840503 1.684198386 0.08610620142 +35 85 1.28626686716764 1.235885000 1.750952697 0.09194644686 +30 85 1.28878286445643 1.142549729 1.812928777 0.09736865132 +25 85 1.29521606996075 1.045669295 1.870191579 0.1023784973 +20 85 1.30559316867022 0.9450377156 1.922731074 0.1069751075 +15 85 1.31996087756778 0.8404176255 1.970455874 0.1111504865 +10 85 1.33838311593402 0.7315499272 2.013184892 0.1148887912 +5 85 1.36093808769452 0.6181656186 2.050639201 0.1181656186 +0 85 1.38771322850377 0.5000000000 2.082432561 0.1209471772 +-5 85 1.41880247083060 0.3768102141 2.108065696 0.1231897859 +-10 85 1.45429615333422 0.2483962817 2.126915593 0.1248389382 +-15 85 1.49427851028427 0.1146258947 2.138235741 0.1258293228 +-20 85 1.53880935951890 -0.02453414930 2.141145731 0.1260839139 +-25 85 1.58791885390936 -0.1689837946 2.134640377 0.1255147692 +-30 85 1.64159410680926 -0.3184511741 2.117599017 0.1240238434 +-35 85 1.69975955689062 -0.4724479377 2.088799584 0.1215042195 +-40 85 1.76227059022013 -0.6302302123 2.046955916 0.1178433729 +-45 85 1.82890133136076 -0.7907609353 1.990760935 0.1129269492 + +45 90 1.29213077134626 1.413674431 1.613674431 0.000000000 +40 90 1.28665499314165 1.327045888 1.685634908 0.000000000 +35 90 1.28511374221153 1.237110961 1.752703549 0.000000000 +30 90 1.28749832166204 1.143749161 1.815006254 0.000000000 +25 90 1.29382094684251 1.046792360 1.872599999 0.000000000 +20 90 1.30411380202511 0.9460331895 1.925466116 0.000000000 +15 90 1.31842829885290 0.8412343533 1.973503944 0.000000000 +10 90 1.33683206974102 0.7321384528 2.016522587 0.000000000 +5 90 1.35940560451065 0.6184800052 2.054232656 0.000000000 +0 90 1.38623726303940 0.5000000000 2.086237263 0.000000000 +-5 90 1.41742023162454 0.3764636869 2.112026520 0.000000000 +-10 90 1.45304226557899 0.2476818585 2.130967289 0.000000000 +-15 90 1.49318312263436 0.1135357700 2.142304142 0.000000000 +-20 90 1.53789616751045 -0.02599146763 2.145149680 0.000000000 +-25 90 1.58720316486152 -0.1707810426 2.138494588 0.000000000 +-30 90 1.64108157691608 -0.3205407885 2.121218335 0.000000000 +-35 90 1.69944501505027 -0.4747616155 2.092103858 0.000000000 +-40 90 1.76213766582561 -0.6326802582 2.049875767 0.000000000 +-45 90 1.82892318992934 -0.7932439899 1.993243990 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 1.82892318359571 -0.7932439854 1.993243985 1.583767107e-16 +-90 40 1.89946924508588 -0.9550778601 1.920955296 1.781956444e-16 +-90 35 1.97334109452158 -1.116466392 1.831861953 1.979600392e-16 +-90 30 2.05000873468003 -1.275359642 1.725004367 2.174188503e-16 +-90 25 2.12884369525608 -1.429387618 1.599688222 2.362818371e-16 +-90 20 2.20912233208996 -1.575895954 1.455564337 2.542239335e-16 +-90 15 2.29003935385267 -1.712008155 1.292705799 2.708928707e-16 +-90 10 2.37073558968795 -1.834718789 1.111673915 2.859205892e-16 +-90 5 2.45029824774012 -1.940974123 0.9135575637 2.989331147e-16 +-90 -2.84217e-14 2.52779249998801 -2.027792500 0.7000000000 3.095652994e-16 +-90 -5 2.60227498499177 -2.092372543 0.4731967908 3.174740737e-16 +-90 -10 2.67281390366549 -2.132207855 0.2358707364 3.223524924e-16 +-90 -15 2.73851547563644 -2.145202824 -0.008779960403 3.239439171e-16 +-90 -20 2.79853433608262 -2.129762065 -0.2571551147 3.220529695e-16 +-90 -25 2.85208862411149 -2.084870129 -0.5053447367 3.165552930e-16 +-90 -30 2.89848006971925 -2.010157373 -0.7492400349 3.074056192e-16 +-90 -35 2.93710304350955 -1.905933962 -0.9846530969 2.946419326e-16 +-90 -40 2.96745263168842 -1.773200599 -1.207441784 2.783867837e-16 +-90 -45 2.98913173019567 -1.613635316 -1.413635316 2.588456725e-16 + +-85 45 1.82890132154324 -0.7907609283 1.990760928 0.1129269486 +-85 40 1.89926869311712 -0.9516676477 1.918093788 0.1270044624 +-85 35 1.97289435849714 -1.111966147 1.828710848 0.1410287639 +-85 30 2.04924891173119 -1.269629430 1.721696028 0.1548225137 +-85 25 2.12770905517825 -1.422325762 1.596395224 0.1681817118 +-85 20 2.20756159252749 -1.567454259 1.452491811 0.1808788101 +-85 15 2.28801912323528 -1.702207190 1.290079638 0.1926681639 +-85 10 2.36824287744384 -1.823655111 1.109723090 0.2032934802 +-85 5 2.44734477412174 -1.928824515 0.9124946107 0.2124946107 +-85 -2.84217e-14 2.52441508818930 -2.014808927 0.7000000000 0.2200172720 +-85 -5 2.59853607270161 -2.078871675 0.4743779638 0.2256220362 +-85 -10 2.66879799408749 -2.118551568 0.2382787082 0.2290935771 +-85 -15 2.73432440406375 -2.131773835 -0.005181673733 0.2302503755 +-85 -20 2.79428233783756 -2.116937594 -0.2524873890 0.2289523726 +-85 -25 2.84789483024837 -2.072993515 -0.4998065804 0.2251077639 +-85 -30 2.89446096198405 -1.999512515 -0.7430942235 0.2186790094 +-85 -35 2.93336534873685 -1.896725207 -0.9782050569 0.2096862852 +-85 -40 2.96408575354804 -1.765539051 -1.201012982 0.1982089838 +-85 -45 2.98620245284181 -1.607534947 -1.407534947 0.1843854159 + +-80 45 1.82883561665370 -0.7832461156 1.983246116 0.2262709131 +-80 40 1.89866476152513 -0.9413720596 1.909454764 0.2541527833 +-80 35 1.97155195985657 -1.098413426 1.819221130 0.2818434134 +-80 30 2.04697082105345 -1.252414716 1.711757108 0.3089979958 +-80 25 2.12431428922482 -1.401159602 1.586525282 0.3352257325 +-80 20 2.20290143235696 -1.542206437 1.443302355 0.3600960950 +-80 15 2.28199678624119 -1.672947972 1.282239654 0.3831493551 +-80 10 2.36081998181096 -1.790674178 1.103907662 0.4039076615 +-80 5 2.43855520393769 -1.892643642 0.9093291946 0.4218876294 +-80 -2.84217e-14 2.51436618315298 -1.976167311 0.7000000000 0.4366151057 +-80 -5 2.58740821120266 -2.038694140 0.4778930426 0.4476402727 +-80 -10 2.65683768929226 -2.077896467 0.2454472995 0.4545527005 +-80 -15 2.72182959835068 -2.091762680 0.005539282989 0.4569976880 +-80 -20 2.78158783396768 -2.078679416 -0.2385625513 0.4546907557 +-80 -25 2.83535239941973 -2.037504675 -0.4832578624 0.4474305378 +-80 -30 2.88241708385251 -1.967641484 -0.7246934750 0.4351117723 +-80 -35 2.92213915397005 -1.869091230 -0.9588555380 0.4177347036 +-80 -40 2.95394867512677 -1.742491235 -1.181673568 0.3954117087 +-80 -45 2.97735999381032 -1.589135629 -1.389135629 0.3683709778 + +-75 45 1.82873596986325 -0.7705080802 1.970508080 0.3404316141 +-75 40 1.89766252385777 -0.9240051707 1.894882214 0.3815610355 +-75 35 1.96932012252277 -1.075664167 1.803291927 0.4221979410 +-75 30 2.04319070545443 -1.223656158 1.695153347 0.4618522756 +-75 25 2.11869619734831 -1.365958018 1.570110514 0.4999819441 +-75 20 2.19521425233754 -1.500390490 1.428082595 0.5360030165 +-75 15 2.27208892188833 -1.624660176 1.269300978 0.5693009782 +-75 10 2.34863222823963 -1.736399134 1.094337507 0.5992413420 +-75 5 2.42414170593345 -1.833224509 0.9041306940 0.6251856228 +-75 -2.84217e-14 2.49789521720772 -1.912781502 0.7000000000 0.6465028549 +-75 -5 2.56916094863374 -1.972804819 0.4836576112 0.6625860542 +-75 -10 2.63720013892251 -2.011177372 0.2572116759 0.6728679490 +-75 -15 2.70127273368448 -2.025995592 0.02316152114 0.6768384789 +-75 -20 2.76064356182382 -2.015638336 -0.2156174744 0.6740632605 +-75 -25 2.81458724925473 -1.978836585 -0.4559004828 0.6642022611 +-75 -30 2.86239630750974 -1.914746215 -0.6941543771 0.6470292982 +-75 -35 2.90339208958422 -1.823020430 -0.9265964165 0.6224514482 +-75 -40 2.93693739497687 -1.703876603 -1.149272045 0.5905269560 +-75 -45 2.96244626115084 -1.558149440 -1.358149440 0.5514794803 + +-70 45 1.82861561655108 -0.7522196607 1.952219661 0.4557706833 +-70 40 1.89626940236386 -0.8992560025 1.874115196 0.5092875350 +-70 35 1.96621269439671 -1.043485981 1.780760519 0.5617829540 +-70 30 2.03794166424942 -1.183267949 1.671835203 0.6126594297 +-70 25 2.11092524309579 -1.316850923 1.547211499 0.6612796559 +-70 20 2.18462486616460 -1.442407841 1.406978637 0.7069786369 +-70 15 2.25848704989124 -1.558047871 1.251452265 0.7490681656 +-70 10 2.33194900065651 -1.661840376 1.081190786 0.7868455480 +-70 5 2.40444531587018 -1.751842362 0.8970106787 0.8196035919 +-70 -2.84217e-14 2.47540148155165 -1.826116506 0.7000000000 0.8466371695 +-70 -5 2.54422802115710 -1.882753477 0.4915360828 0.8672513411 +-70 -10 2.61031961248035 -1.919904693 0.2733055118 0.8807732782 +-70 -15 2.67305035622209 -1.935818967 0.04732427481 0.8865656001 +-70 -20 2.73177262760974 -1.928891410 -0.1840441754 0.8840441754 +-70 -25 2.78581627065111 -1.897722457 -0.4180763440 0.8726996045 +-70 -30 2.83448919554076 -1.841188120 -0.6516855915 0.8521227886 +-70 -35 2.87708452019245 -1.758524541 -0.8814359086 0.8220357062 +-70 -40 2.91289078659689 -1.649420284 -1.103577768 0.7823250044 +-70 -45 2.94120585664097 -1.514111531 -1.314111531 0.7330766459 + +-65 45 1.82849995941224 -0.7279162280 1.927916228 0.5725867407 +-65 40 1.89449945394964 -0.8666924151 1.846791101 0.6372991395 +-65 35 1.96224762679395 -1.001563741 1.751406251 0.7001906717 +-65 30 2.03126993114371 -1.131146922 1.641743115 0.7606163013 +-65 25 2.10110299004502 -1.254036767 1.517920777 0.8179207771 +-65 20 2.17130751174627 -1.368821299 1.380195326 0.8714456837 +-65 15 2.24145476057334 -1.474072776 1.228951206 0.9205252531 +-65 10 2.31112929558732 -1.568350090 1.064705926 0.9644874868 +-65 5 2.37991913754451 -1.650190534 0.8881172962 1.002650313 +-65 -2.84217e-14 2.44741127747373 -1.718107899 0.7000000000 1.034320700 +-65 -5 2.51317945671806 -1.770587515 0.5013493329 1.058792347 +-65 -10 2.57677038632685 -1.806086151 0.2933747918 1.075345632 +-65 -15 2.63769430705391 -1.823045111 0.07754193863 1.083253725 +-65 -20 2.69541686408332 -1.819916649 -0.1443806062 1.081794900 +-65 -25 2.74934907352945 -1.795203701 -0.3702710630 1.070271063 +-65 -30 2.79884200596113 -1.747521343 -0.5976070523 1.048036414 +-65 -35 2.84318507596852 -1.675680358 -0.8234277874 1.014536413 +-65 -40 2.88160613422827 -1.578791439 -1.044313130 0.9693563679 +-65 -45 2.91329314002331 -1.456401424 -1.256401424 0.9122849662 + +-60 45 1.82842437322083 -0.6969847275 1.896984728 0.6910794547 +-60 40 1.89237906480664 -0.8257684811 1.812451844 0.7654327895 +-60 35 1.95745910797058 -0.9495228205 1.714966806 0.8368823906 +-60 30 2.02324246797369 -1.067196877 1.604821539 0.9048215387 +-60 25 2.08935962012995 -1.177794005 1.482368193 0.9686748206 +-60 20 2.15548034234867 -1.280350752 1.347994680 1.027885986 +-60 15 2.22131836690838 -1.373926439 1.202117076 1.081911934 +-60 10 2.28660751847622 -1.457568043 1.045172063 1.130202437 +-60 5 2.35110192109082 -1.530294674 0.8776277676 1.172191177 +-60 -2.84217e-14 2.41455306116955 -1.591064290 0.7000000000 1.207276531 +-60 -5 2.47669664855655 -1.638752034 0.5128834429 1.234809062 +-60 -10 2.53724247832987 -1.672136999 0.3169936413 1.254083881 +-60 -15 2.59585284575538 -1.689887479 0.1132214185 1.264332125 +-60 -20 2.65212811796386 -1.690564301 -0.09730020180 1.264722889 +-60 -25 2.70559073861284 -1.672638869 -0.3131181430 1.254373636 +-60 -30 2.75566998979853 -1.634532796 -0.5323730841 1.232373084 +-60 -35 2.80168930482554 -1.574685784 -0.7527106251 1.197820396 +-60 -40 2.84285898841832 -1.491658497 -0.9711999099 1.149884569 +-60 -45 2.87828320366581 -1.384278665 -1.184278665 1.087888794 + +-55 45 1.82844368757120 -0.6586614965 1.858661496 0.8113035140 +-55 40 1.88994733486601 -0.7758332142 1.770551180 0.8933480341 +-55 35 1.95189862041581 -0.8869504049 1.671153129 0.9711531287 +-55 30 2.01395537238075 -0.9913590071 1.561036524 1.044260819 +-55 25 2.07585677503429 -1.088500464 1.440729931 1.112279999 +-55 20 2.13740433765295 -1.177872206 1.310695540 1.174858767 +-55 15 2.19844901342090 -1.258991488 1.171320349 1.231659100 +-55 10 2.25887874461461 -1.331360364 1.022918244 1.282332332 +-55 5 2.31859903521198 -1.394426398 0.8657408337 1.326491645 +-55 -2.84217e-14 2.37751945975198 -1.447549926 0.7000000000 1.363689139 +-55 -5 2.43553687136300 -1.489971217 0.5259000778 1.393392847 +-55 -10 2.49251582157833 -1.520778978 0.3436821441 1.414964674 +-55 -15 2.54827415572469 -1.538888563 0.1536814561 1.427645141 +-55 -20 2.60256311979406 -1.543023983 -0.04359991757 1.430540793 +-55 -25 2.65504461824986 -1.531710308 -0.2474020756 1.422618873 +-55 -30 2.70526765048985 -1.503284349 -0.4565967582 1.402714802 +-55 -35 2.75264378671164 -1.455931714 -0.6695581305 1.369558131 +-55 -40 2.79642576743716 -1.387763119 -0.8840213367 1.321825966 +-55 -45 2.83569005626531 -1.296940702 -1.096940702 1.258231425 + +-50 45 1.82863563230092 -0.6120306366 1.812030637 0.9331044970 +-50 40 1.88726740090866 -0.7161560145 1.720476063 1.020476063 +-50 35 1.94564233795219 -0.8134308412 1.619674176 1.102099334 +-50 30 2.00353144708433 -0.9036399434 1.510391899 1.177793759 +-50 25 2.06079697875778 -0.9866594942 1.393240707 1.247455433 +-50 20 2.11737553236894 -1.062410077 1.268670762 1.311017719 +-50 15 2.17325892464727 -1.130812596 1.136974918 1.368414247 +-50 10 2.22847027899368 -1.191744041 0.9983001188 1.419541801 +-50 5 2.28305064501294 -1.245003628 0.8526680352 1.464231900 +-50 -2.84217e-14 2.33705118910029 -1.290285077 0.7000000000 1.502227548 +-50 -5 2.39050760372243 -1.327136183 0.5401462973 1.533149297 +-50 -10 2.44342822337620 -1.354929444 0.3729258917 1.556470612 +-50 -15 2.49578105298618 -1.372833067 0.1981758922 1.571493536 +-50 -20 2.54747396201918 -1.379779439 0.01581623738 1.577322234 +-50 -25 2.59832817633244 -1.374434645 -0.1740632295 1.572837419 +-50 -30 2.64804987835545 -1.355178558 -0.3710878400 1.556679644 +-50 -35 2.69619670282337 -1.320102202 -0.5744492821 1.527247086 +-50 -40 2.74213869430965 -1.267035484 -0.7827188231 1.482718823 +-50 -45 2.78501546260613 -1.193624724 -0.9936247238 1.421119881 + +-45 45 1.82911145879382 -0.5560379931 1.756037993 1.056037993 +-45 40 1.88443070779490 -0.6459607603 1.661575251 1.145960760 +-45 35 1.93880120397082 -0.7285936502 1.560270535 1.228593650 +-45 30 1.99212768755681 -0.8041537032 1.452953492 1.304153703 +-45 25 2.04441331596932 -0.8729113170 1.340199061 1.372911317 +-45 20 2.09572735851478 -0.9351353986 1.222346567 1.435135399 +-45 15 2.14618358343794 -0.9910537274 1.099526642 1.491053727 +-45 10 2.19592556667724 -1.040823532 0.9716887611 1.540823532 +-45 5 2.24510891854824 -1.084502585 0.8386260135 1.584502585 +-45 -2.84217e-14 2.29389378656279 -1.122027852 0.7000000000 1.622027852 +-45 -5 2.34242976478162 -1.153187508 0.5553648344 1.653187508 +-45 -10 2.39084733906012 -1.177595041 0.4041947316 1.677595041 +-45 -15 2.43924974800004 -1.194660446 0.2459171020 1.694660446 +-45 -20 2.48769388148833 -1.203550577 0.07995829749 1.703550577 +-45 -25 2.53616749075918 -1.203145358 -0.09418972360 1.703145358 +-45 -30 2.58456088092786 -1.191992268 -0.2768721913 1.691992268 +-45 -35 2.63262814098867 -1.168262951 -0.4681302938 1.668262951 +-45 -40 2.67993559898807 -1.129723515 -0.6675004003 1.629723515 +-45 -45 2.72579643221602 -1.073739304 -0.8737393039 1.573739304 + + +### -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 2.98913173630759 -1.613635321 -1.413635321 2.588456730e-16 +-40 -90 3.00185348198444 -1.429554224 -1.599553179 2.816140440e-16 +-35 -90 3.00545066295272 -1.223855681 -1.761921055 3.014983739e-16 +-30 -90 2.99988326006610 -0.9999416300 -1.897975112 3.181601905e-16 +-25 -90 2.98522029937154 -0.7616086138 -2.005528403 3.313316699e-16 +-20 -90 2.96165878350355 -0.5129469616 -2.083048904 3.408251932e-16 +-15 -90 2.92950358376225 -0.2582113202 -2.129683170 3.465362436e-16 +-10 -90 2.88917872885298 -0.001700621219 -2.145285612 3.484469917e-16 +-5 -90 2.84121184431658 0.2523720714 -2.130400175 3.466240515e-16 +-2.84217e-14 -90 2.78622323306812 0.5000000000 -2.086223233 3.412139364e-16 +5 -90 2.72492848943980 0.7374931664 -2.014559314 3.324376375e-16 +10 -90 2.65812203325266 0.9615780471 -1.917739187 3.205805916e-16 +15 -90 2.58666157436005 1.169477279 -1.798523219 3.059808462e-16 +20 -90 2.51145314862723 1.358967566 -1.659993991 2.890159087e-16 +25 -90 2.43342967440673 1.528411819 -1.505436263 2.700880460e-16 +30 -90 2.35353858046378 1.676769290 -1.338224199 2.496104742e-16 +35 -90 2.27271407416182 1.803575240 -1.161698380 2.279922962e-16 +40 -90 2.19185501724347 1.908897247 -0.9790583561 2.056253441e-16 +45 -90 2.11181568481075 1.993279191 -0.7932791913 1.828739582e-16 + +-45 -85 2.98620246301794 -1.607534954 -1.407534954 0.1843854165 +-40 -85 2.99837541478392 -1.423004617 -1.591747661 0.2005019400 +-35 -85 3.00146290213758 -1.217164288 -1.752364755 0.2145541149 +-30 -85 2.99545159129123 -0.9934452200 -1.886722999 0.2263089381 +-25 -85 2.98043515687475 -0.7556452843 -1.992740002 0.2355842240 +-20 -85 2.95663011196486 -0.5078268962 -2.068981640 0.2422545030 +-15 -85 2.92435558164805 -0.2541906734 -2.114677912 0.2462524088 +-10 -85 2.88404086370847 0.001040140076 -2.129741982 0.2475703442 +-5 -85 2.83621150490932 0.2537414156 -2.114748500 0.2462585844 +-2.84217e-14 -85 2.78147956146527 0.5000000000 -2.070895192 0.2424219171 +5 -85 2.72054512495521 0.7362156667 -1.999957425 0.2362156667 +10 -85 2.65418174476222 0.9591925753 -1.904210504 0.2278388966 +15 -85 2.58322141508012 1.166212245 -1.786337949 0.2175263842 +20 -85 2.50854307226884 1.355087408 -1.649333345 0.2055400345 +25 -85 2.43105342786293 1.524192983 -1.496388939 0.1921591329 +30 -85 2.35167367514644 1.672476237 -1.330788413 0.1776709641 +35 -85 2.27131617269774 1.799440688 -1.155793628 0.1623609043 +40 -85 2.19086458833460 1.905108479 -0.9745430780 0.1465035359 +45 -85 2.11116318048128 1.989969368 -0.7899693683 0.1303554287 + +-45 -80 2.97736002223990 -1.589135649 -1.389135649 0.3683709813 +-40 -80 2.98790489159846 -1.403303773 -1.568269109 0.3999570435 +-35 -80 2.98948652005582 -1.197087650 -1.723692345 0.4273623533 +-30 -80 2.98217134433290 -0.9739990543 -1.853041252 0.4501700556 +-25 -80 2.96612433660997 -0.7378320038 -1.954539299 0.4680668997 +-20 -80 2.94161641135904 -0.4925593469 -2.027034393 0.4808497408 +-15 -80 2.90900638256546 -0.2422179035 -2.069994926 0.4884248419 +-10 -80 2.86873734489306 0.009193838801 -2.083500059 0.4908061612 +-5 -80 2.82132712417638 0.2578130962 -2.068208977 0.4881099309 +-2.84217e-14 -80 2.76736267738285 0.5000000000 -2.025320220 0.4805474859 +5 -80 2.70749865117835 0.7324156989 -1.956523594 0.4684167845 +10 -80 2.64244641812564 0.9520905286 -1.863932796 0.4520905286 +15 -80 2.57296554092234 1.156478824 -1.750012326 0.4320032761 +20 -80 2.49985569518708 1.343500576 -1.617498785 0.4086375635 +25 -80 2.42394646497721 1.511568690 -1.469316057 0.3825089504 +30 -80 2.34608314789515 1.659599480 -1.308485216 0.3541501340 +35 -80 2.26711476701716 1.787007801 -1.138037626 0.3240956249 +40 -80 2.18787996052743 1.893685654 -0.9609298854 0.2928667519 +45 -80 2.10919139403459 1.979964431 -0.7799644314 0.2609576597 + +-45 -75 2.96244631716378 -1.558149479 -1.358149479 0.5514794907 +-40 -75 2.97033716588748 -1.370302545 -1.528939777 0.5972426133 +-35 -75 2.96948943783723 -1.163626796 -1.675905292 0.6366219043 +-30 -75 2.96009628251772 -0.9417399778 -1.797166893 0.6691138523 +-25 -75 2.94243159655987 -0.7084038624 -1.891430446 0.6943716952 +-20 -75 2.91684636138187 -0.4674249641 -1.957978244 0.7122031239 +-15 -75 2.88375141759906 -0.2225608501 -1.996633804 0.7225608501 +-10 -75 2.84360748495527 0.02255569302 -2.007721218 0.7255317137 +-5 -75 2.79691636704594 0.2644789174 -1.992018292 0.7213241275 +-2.84217e-14 -75 2.74422142755313 0.5000000000 -1.950714350 0.7102567694 +5 -75 2.68610313019281 0.7261897870 -1.885361095 0.6927454176 +10 -75 2.62317654908364 0.9404337505 -1.797823922 0.6692899027 +15 -75 2.55609074223808 1.140461272 -1.690234006 0.6404612715 +20 -75 2.48552217272658 1.324368479 -1.564933782 0.6068871777 +25 -75 2.41217829509989 1.490638346 -1.424430788 0.5692395139 +30 -75 2.33678809842502 1.638152445 -1.271337861 0.5282183880 +35 -75 2.26009908370651 1.766197936 -1.108318058 0.4845373633 +40 -75 2.18287394806873 1.874468443 -0.9380277052 0.4389082008 +45 -75 2.10586956142079 1.963045698 -0.7630456981 0.3920219133 + +-45 -70 2.94120595607733 -1.514111600 -1.314111600 0.7330766707 +-40 -70 2.94550826602740 -1.323773568 -1.473488702 0.7910851920 +-35 -70 2.94143077278365 -1.116804864 -1.609036644 0.8404206083 +-30 -70 2.92932570533126 -0.8969103692 -1.719519733 0.8806331641 +-25 -70 2.90960244517827 -0.6677574357 -1.804263902 0.9114775192 +-20 -70 2.88269890537888 -0.4328862699 -1.863083962 0.9328862699 +-15 -70 2.84907660743735 -0.1956558587 -1.896223009 0.9449478969 +-10 -70 2.80920522588742 0.04079478222 -1.904282203 0.9478812035 +-5 -70 2.76355889934829 0.2735649837 -1.888164080 0.9420146865 +-2.84217e-14 -70 2.71261697685149 0.5000000000 -1.849026156 0.9277696472 +5 -70 2.65686440382300 0.7176928940 -1.788241165 0.9056457197 +10 -70 2.59679616527408 0.9244838852 -1.707367741 0.8762102006 +15 -70 2.53291915985160 1.118460047 -1.608124319 0.8400885490 +20 -70 2.46576035418268 1.297958460 -1.492372851 0.7979584601 +25 -70 2.39586986253140 1.461572895 -1.362099728 0.7505429212 +30 -70 2.32383192201992 1.608167966 -1.219403220 0.6986056397 +35 -70 2.25025945048744 1.736891400 -1.066463987 0.6429403111 +40 -70 2.17580637326152 1.847196407 -0.9055261580 0.5843637318 +45 -70 2.10114662660465 1.938846465 -0.7388464651 0.5236972850 + +-45 -65 2.91329331553589 -1.456401541 -1.256401541 0.9122850212 +-40 -65 2.91320736665654 -1.263442200 -1.401588577 0.9799868478 +-35 -65 2.90527263666912 -1.056695377 -1.523191400 1.036691175 +-30 -65 2.89002125172289 -0.8398798323 -1.620739946 1.082178809 +-25 -65 2.86798773596813 -0.6164549138 -1.694245289 1.116454914 +-20 -65 2.83969391335584 -0.3895776011 -1.744094372 1.139699923 +-15 -65 2.80563279745560 -0.1620891387 -1.770950305 1.152223050 +-10 -65 2.76626524225283 0.06347170626 -1.775674976 1.154426200 +-5 -65 2.72201879876639 0.2848419266 -1.759268033 1.146775517 +-2.84217e-14 -65 2.67329091576681 0.5000000000 -1.722824374 1.129781560 +5 -65 2.62045495276845 0.7071301049 -1.667507932 1.103987079 +10 -65 2.56386903358282 0.9045893205 -1.594540058 1.069961601 +15 -65 2.50388734134202 1.090881535 -1.505199909 1.028301605 +20 -65 2.44087033874918 1.264640009 -1.400831160 0.9796336583 +25 -65 2.37519727630885 1.424620645 -1.282855372 0.9246206450 +30 -65 2.30728373377932 1.569709415 -1.152791056 0.8639706584 +35 -65 2.23758864166806 1.698938733 -1.012261962 0.7984408657 +40 -65 2.16662171618132 1.811513972 -0.8630014882 0.7288395636 +45 -65 2.09495176112850 1.906850053 -0.7068500528 0.6560249535 + +-45 -60 2.87828309110553 -1.384278591 -1.184278591 1.087888752 +-40 -60 2.87319574497199 -1.189033642 -1.312911911 1.162155233 +-35 -60 2.86101066639216 -0.9834694862 -1.418613990 1.223182357 +-30 -60 2.84241585196726 -0.7711670131 -1.501725852 1.271167013 +-25 -60 2.81805229236868 -0.5552297746 -1.562947554 1.306513380 +-20 -60 2.78848936047067 -0.3382940156 -1.603193879 1.329749606 +-15 -60 2.75422306033240 -0.1225773171 -1.623490179 1.341467680 +-10 -60 2.71567895414312 0.09005797966 -1.624896727 1.342279751 +-5 -60 2.67321448374175 0.2980363519 -1.608455061 1.332787151 +-2.84217e-14 -60 2.62712875293982 0.5000000000 -1.575160239 1.313564376 +5 -60 2.57767568774255 0.6947456101 -1.525952509 1.285154280 +10 -60 2.52507600267552 0.8811697831 -1.461721261 1.248070352 +15 -60 2.46952999135143 1.058223979 -1.383320253 1.202805509 +20 -60 2.41123214898173 1.224880471 -1.291592726 1.149846596 +25 -60 2.35039250210225 1.380112891 -1.187408186 1.089695624 +30 -60 2.28724794548905 1.522888378 -1.071694640 1.022888378 +35 -60 2.22208753959894 1.652179927 -0.9454834661 0.9500203221 +40 -60 2.15526179815838 1.766989794 -0.8099396383 0.8717640566 +45 -60 2.08720364084110 1.866395525 -0.6663955250 0.7888888242 + +-45 -55 2.83568999990228 -1.296940667 -1.096940667 1.258231400 +-40 -55 2.82524813852294 -1.100347624 -1.207220030 1.335449842 +-35 -55 2.80869703842643 -0.8974470230 -1.295761180 1.397447023 +-30 -55 2.78684308514670 -0.6914731162 -1.363691973 1.445012676 +-25 -55 2.76037585300476 -0.4849875195 -1.412312552 1.479057172 +-20 -55 2.72986627651160 -0.2799727594 -1.442957544 1.500515027 +-15 -55 2.69577276164004 -0.07794042547 -1.456903032 1.510279762 +-10 -55 2.65845070254565 0.1199609061 -1.455308804 1.509163472 +-5 -55 2.61816647030712 0.3128451332 -1.439189917 1.497876905 +-2.84217e-14 -55 2.57511220823041 0.5000000000 -1.409408430 1.477023684 +5 -55 2.52942089517149 0.6808110508 -1.366679768 1.447104753 +10 -55 2.48118344598881 0.8546978350 -1.311591383 1.408531450 +15 -55 2.43046114804186 1.021060888 -1.244625709 1.361641581 +20 -55 2.37729934173135 1.179237933 -1.166190884 1.306720925 +25 -55 2.32174458346023 1.328470310 -1.076660313 1.244030944 +30 -55 2.26386907334727 1.467883392 -0.9764232116 1.173844170 +35 -55 2.20378567194418 1.596477721 -0.8659324712 1.096477721 +40 -55 2.14167565036028 1.713141420 -0.7457656457 1.012336004 +45 -55 2.07781013225057 1.816681839 -0.6166818391 0.9219505491 + +-45 -50 2.78501548585979 -1.193624738 -0.9936247380 1.421119893 +-40 -50 2.76919303303369 -0.9973475424 -1.084469313 1.497347542 +-35 -50 2.74849237016292 -0.7991686119 -1.155405064 1.556869705 +-30 -50 2.72376052995642 -0.6017114166 -1.208220149 1.601186823 +-25 -50 2.69566809754180 -0.4068078406 -1.244655690 1.631759872 +-20 -50 2.66472576232064 -0.2156744782 -1.266299468 1.649921159 +-15 -50 2.63130523151586 -0.02907381385 -1.274530354 1.656827692 +-10 -50 2.59566239464393 0.1525480245 -1.270498072 1.653444205 +-5 -50 2.55795777471478 0.3289488722 -1.255123337 1.640543271 +-2.84217e-14 -50 2.51827441602747 0.5000000000 -1.229110123 1.618715592 +5 -50 2.47663473399139 0.6656130405 -1.192965714 1.588386833 +10 -50 2.43301518069278 0.8256802320 -1.147024379 1.549837475 +15 -50 2.38735930868174 0.9800238602 -1.091473435 1.503224699 +20 -50 2.33958572957243 1.128350512 -1.026378842 1.448603850 +25 -50 2.28960601206809 1.270210801 -0.9517223923 1.385959650 +30 -50 2.23734298885422 1.404964400 -0.8674443198 1.315241951 +35 -50 2.18274880053062 1.531750628 -0.7734926030 1.236407100 +40 -50 2.12583054249430 1.649471019 -0.6698862168 1.149471019 +45 -50 2.06668421550678 1.756792837 -0.5567928368 1.054574406 + +-45 -45 2.72579622456781 -1.073739184 -0.8737391840 1.573739184 +-40 -45 2.70496401125746 -0.8802717384 -0.9449438030 1.644943803 +-35 -45 2.68069263682813 -0.6894571165 -0.9987208101 1.698720810 +-30 -45 2.65377035266330 -0.5030309128 -1.037300503 1.737300503 +-25 -45 2.62476384852546 -0.3219332844 -1.062641617 1.762641617 +-20 -45 2.59405952408456 -0.1465526549 -1.076388820 1.776388820 +-15 -45 2.56190285209942 0.02308439415 -1.079873272 1.779873272 +-10 -45 2.52842998367226 0.1871724523 -1.074133184 1.774133184 +-5 -45 2.49369067131754 0.3460251109 -1.059941036 1.759941036 +-2.84217e-14 -45 2.45766489208270 0.5000000000 -1.037831511 1.737831511 +5 -45 2.42028005039542 0.6494420926 -1.008130935 1.708130935 +10 -45 2.38142164099061 0.7946390830 -0.9709812750 1.670981275 +15 -45 2.34093989405830 0.9357818513 -0.9263600102 1.626360010 +20 -45 2.29865870473593 1.072925900 -0.8741009741 1.574100974 +25 -45 2.25438825001366 1.205951791 -0.8139185003 1.513918500 +30 -45 2.20792929789678 1.334518834 -0.7454290195 1.445429020 +35 -45 2.15909473535228 1.458017552 -0.6681908576 1.368190858 +40 -45 2.10773395447792 1.575521004 -0.5817560206 1.281756021 +45 -45 2.05375918270896 1.685738417 -0.4857384170 1.185738417 + + diff --git a/test/checkpointML-EE.par b/test/checkpointML-EE.par new file mode 100644 index 0000000..762a514 --- /dev/null +++ b/test/checkpointML-EE.par @@ -0,0 +1,125 @@ +# $Header$ + +# 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" +carpet::domain_from_coordbase = "true" +driver::ghost_size = 3 + +ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase ReflectionSymmetry" +grid::domain = "full" +grid::avoid_origin = "false" +grid::type = "coordbase" +CoordBase::domainsize = "minmax" +CoordBase::spacing = "numcells" +CoordBase::xmin = 0.0 +CoordBase::ymin = -3.0 +CoordBase::zmin = 0.0 +CoordBase::xmax = 3.0 +CoordBase::ymax = 3.0 +CoordBase::zmax = 3.0 +CoordBase::ncells_x = 19 +CoordBase::ncells_y = 31 +CoordBase::ncells_z = 19 + +ReflectionSymmetry::reflection_z = "yes" +ReflectionSymmetry::avoid_origin_z = "no" + +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 +CoordBase::boundary_shiftout_x_lower = 1 +CoordBase::boundary_shiftout_z_lower = 1 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild ADMMacros ML_BSSN ML_BSSN_Helper GenericFD TmunuBase NewRad MoL" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "ML_BSSN" +ADMBase::dtlapse_evolution_method = "ML_BSSN" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +ADMBase::evolution_method = ML_BSSN +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +ML_BSSN::my_initial_boundary_condition = "extrapolate-gammas" +ML_BSSN::my_rhs_boundary_condition = "NewRad" +ML_BSSN::fdOrder = 2 +# These are necessary +ML_BSSN::ML_log_confac_bound = "none" +ML_BSSN::ML_metric_bound = "none" +ML_BSSN::ML_Gamma_bound = "none" +ML_BSSN::ML_trace_curv_bound = "none" +ML_BSSN::ML_curv_bound = "none" +ML_BSSN::ML_lapse_bound = "none" +ML_BSSN::ML_dtlapse_bound = "none" +ML_BSSN::ML_shift_bound = "none" +ML_BSSN::ML_dtshift_bound = "none" + +ML_BSSN::harmonicN = 1 # 1+log +ML_BSSN::LapseAdvectionCoeff = 1 + +# the default of 3 fails in Recovery since Carpet tries to time-interpolate the +# third timelevel for which is had allocated no metadata, see Carpet issue #626 +ML_BSSN::timelevels = 2 # unigrid run + + +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::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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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-EE/BH_diagnostics.ah1.gp b/test/checkpointML-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..9392b5e --- /dev/null +++ b/test/checkpointML-EE/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 -0.000013 0.000006 -0.000000 1.037135884 2.757513903 1.996587229 1.199991738 4.782792549e-06 -2.947138639e-17 1.199964130 -7.853250465e-16 1.079988034 -1.896499970 1.896708868 -1.896868468 1.896462442 -1.799386396 1.799386396 12.56628516 10.83751875 11.22768504 0.8624282043 0.8934768623 45.23820758 0.9486756791 1.897351358 7.111885719e-16 -1.469619091 -1.040044698e-15 0.7348095454 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071370360 0.7477874670 33.19280488 +1 0.039 -0.000012 0.000006 -0.000000 1.036975219 2.757353313 1.996428867 1.199743236 -1.570762661e-05 -7.657115769e-16 1.199817836 5.890075745e-16 1.079749604 -1.896325177 1.896534332 -1.896791361 1.896388032 -1.799210554 1.799210554 12.56685856 10.83725895 11.22783347 0.8623681806 0.8934479067 45.23789492 0.9486724008 1.897344802 8.750054134e-16 -1.469213355 -1.296002620e-15 0.7346066777 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7069973735 0.7478147961 33.18349747 diff --git a/test/checkpointML-EE/checkpoint.chkpt.it_1.h5 b/test/checkpointML-EE/checkpoint.chkpt.it_1.h5 Binary files differnew file mode 100644 index 0000000..fc0c18b --- /dev/null +++ b/test/checkpointML-EE/checkpoint.chkpt.it_1.h5 diff --git a/test/checkpointML-EE/h.t0.ah1.gp b/test/checkpointML-EE/h.t0.ah1.gp new file mode 100644 index 0000000..6adcfe2 --- /dev/null +++ b/test/checkpointML-EE/h.t0.ah1.gp @@ -0,0 +1,2337 @@ +# N_patches = 6 +# 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 2.45808636904203 -0.9191768269 -0.7191768269 1.419176827 +-40 -45 2.43572407243245 -0.7428857041 -0.7812135031 1.481213503 +-35 -45 2.41002732400783 -0.5693595051 -0.8272036458 1.527203646 +-30 -45 2.38180163799284 -0.4002364009 -0.8592551852 1.559255185 +-25 -45 2.35161959489114 -0.2363993596 -0.8792135230 1.579213523 +-20 -45 2.31986751207752 -0.07821205916 -0.8886245762 1.588624576 +-15 -45 2.28678578587351 0.07429930349 -0.8887366282 1.588736628 +-10 -45 2.25250304549955 0.2213112452 -0.8805224687 1.580522469 +-5 -45 2.21706175100151 0.3631057809 -0.8647080847 1.564708085 +0 -45 2.18043721029815 0.5000000000 -0.8418019374 1.541801937 +5 -45 2.14255298002245 0.6322936166 -0.8121229565 1.512122957 +10 -45 2.10329144979052 0.7602276949 -0.7758245949 1.475824595 +15 -45 2.06250159602188 0.8839486721 -0.7329159520 1.432915952 +20 -45 2.02000943696942 1.003474362 -0.6832844415 1.383284441 +25 -45 1.97562589462884 1.118658582 -0.6267176102 1.326717610 +30 -45 1.92915972537985 1.229153839 -0.5629314956 1.262931496 +35 -45 1.88043551408171 1.334372943 -0.4916080553 1.191608055 +40 -45 1.82931593499312 1.433451638 -0.4124443425 1.112444343 +45 -45 1.77573259648267 1.525219693 -0.3252196926 1.025219693 + +-45 -40 2.41011597833017 -0.9656406986 -0.5298185696 1.465640699 +-40 -40 2.38617203951372 -0.7902418851 -0.5902418851 1.537650402 +-35 -40 2.35875121636122 -0.6149441697 -0.6361027846 1.592305294 +-30 -40 2.32864139979334 -0.4418929407 -0.6689125325 1.631406429 +-25 -40 2.29643266893669 -0.2725072503 -0.6900920078 1.656647144 +-20 -40 2.26254806008704 -0.1076602422 -0.7009043519 1.669532794 +-15 -40 2.22727483579469 0.05216415877 -0.7024259069 1.671346113 +-10 -40 2.19079347161920 0.2067432493 -0.6955415690 1.663141678 +-5 -40 2.15320123357218 0.3560150199 -0.6809531300 1.645755854 +0 -40 2.11453103739570 0.5000000000 -0.6591943511 1.619824751 +5 -40 2.07476722130278 0.6387400827 -0.6306495666 1.585806401 +10 -40 2.03385950769804 0.7722497754 -0.5955741950 1.544005201 +15 -40 1.99173285678573 0.9004756598 -0.5541145408 1.494595510 +20 -40 1.94830006378989 1.023261587 -0.5063310770 1.437649395 +25 -40 1.90347307701255 1.140317817 -0.4522230751 1.373165989 +30 -40 1.85717428930048 1.251193100 -0.3917564035 1.301104616 +35 -40 1.80935539041577 1.355253504 -0.3249002772 1.221428587 +40 -40 1.76002013048087 1.451671402 -0.2516714023 1.134157813 +45 -40 1.70924115736240 1.539424420 -0.1721806478 1.039424420 + +-45 -35 2.36091753683451 -0.9960833986 -0.3475688735 1.496083399 +-40 -35 2.33486273144971 -0.8225712722 -0.4036524630 1.576179065 +-35 -35 2.30533846930960 -0.6470045850 -0.4470045850 1.638092312 +-30 -35 2.27310532977517 -0.4718322159 -0.4786332834 1.683262774 +-25 -35 2.23876038540350 -0.2988589801 -0.4995665739 1.713158611 +-20 -35 2.20275329722850 -0.1293669336 -0.5107788762 1.729171439 +-15 -35 2.16541136811867 0.03576251485 -0.5131500889 1.732557881 +-10 -35 2.12696304388039 0.1959397791 -0.5074457234 1.724411203 +-5 -35 2.08755859033389 0.3507746721 -0.4943113000 1.705653303 +0 -35 2.04728793553672 0.5000000000 -0.4742761182 1.677040098 +5 -35 2.00619559915489 0.6434092425 -0.4477627910 1.639175142 +10 -35 1.96429487232700 0.7808059757 -0.4151013883 1.592529825 +15 -35 1.92158084187048 0.9119632282 -0.3765464722 1.537467698 +20 -35 1.87804260235306 1.036591145 -0.3322964058 1.474272054 +25 -35 1.83367457822241 1.154311829 -0.2825145852 1.403176246 +30 -35 1.78848722068444 1.264640985 -0.2273527881 1.324397036 +35 -35 1.74251904852234 1.366977828 -0.1669778277 1.238172656 +40 -35 1.69585858142567 1.460610580 -0.1016053685 1.144811109 +45 -35 1.64865240433584 1.544730048 -0.03152785518 1.044730048 + +-45 -30 2.31118476142229 -1.013025588 -0.1735457304 1.513025588 +-40 -30 2.28258665216086 -0.8418388400 -0.2232646360 1.599141258 +-35 -30 2.25064287977871 -0.6669862247 -0.2622287311 1.666629051 +-30 -30 2.21608942601929 -0.4910653202 -0.2910653202 1.716575488 +-25 -30 2.17952666890643 -0.3161315678 -0.3104783229 1.750199795 +-20 -30 2.14142671906089 -0.1437697876 -0.3211842211 1.768742955 +-15 -30 2.10215278768458 0.02481966272 -0.3238713286 1.773397161 +-10 -30 2.06197745189416 0.1887366965 -0.3191744414 1.765261914 +-5 -30 2.02110000159353 0.3473041606 -0.3076617981 1.745321431 +0 -30 1.97966275281191 0.5000000000 -0.2898313764 1.714438235 +5 -30 1.93776532102026 0.6463998328 -0.2661135451 1.673357746 +10 -30 1.89547642537281 0.7861293431 -0.2368779107 1.622720142 +15 -30 1.85284762721642 0.9188262459 -0.2024451376 1.563080829 +20 -30 1.80992619194763 1.044111918 -0.1631012456 1.494935209 +25 -30 1.76676407430549 1.161571136 -0.1191121606 1.418743879 +30 -30 1.72342825387093 1.270740546 -0.07074054600 1.334961785 +35 -30 1.68000519972256 1.371103516 -0.01826111821 1.244064750 +40 -30 1.63661841828491 1.462100676 0.03801772357 1.146586936 +45 -30 1.59343298686943 1.543146754 0.09773894084 1.043146754 + +-45 -25 2.26134523383598 -1.018590414 -0.008130339488 1.518590414 +-40 -25 2.22988355935094 -0.8498080550 -0.05012049784 1.608638599 +-35 -25 2.19529382848194 -0.6762764401 -0.08334876764 1.679896853 +-30 -25 2.15829340929897 -0.5006340990 -0.1081806977 1.733149099 +-25 -25 2.11948596137776 -0.3250769300 -0.1250769300 1.769383186 +-20 -25 2.07936506109985 -0.1513929456 -0.1345449447 1.789687409 +-15 -25 2.03832686364512 0.01898406704 -0.1371042704 1.795175901 +-10 -25 1.99668318784595 0.1849149923 -0.1332618835 1.786935876 +-5 -25 1.95467614468701 0.3454954265 -0.1234971587 1.765995356 +0 -25 1.91249223295536 0.5000000000 -0.1082541431 1.733306603 +5 -25 1.87027567291020 0.6478332592 -0.08793958111 1.689741885 +10 -25 1.82813867984908 0.7884879752 -0.06292437826 1.636096609 +15 -25 1.78617265874010 0.9215111537 -0.03354906270 1.573101041 +20 -25 1.74446131173801 1.046479218 -0.0001326491963 1.501439311 +25 -25 1.70308777527478 1.162980769 0.03701923076 1.421766848 +30 -25 1.66214333224788 1.270607596 0.07760447575 1.334731509 +35 -25 1.62172994857713 1.368950983 0.1213165727 1.240990615 +40 -25 1.58197033254616 1.457608880 0.1678339286 1.141233823 +45 -25 1.54301006760766 1.536197508 0.2168131665 1.036197508 + +-45 -20 2.21163338247859 -1.014506810 0.1487646016 1.514506810 +-40 -20 2.17710115297399 -0.8479980971 0.1152885248 1.606481575 +-35 -20 2.13973717926397 -0.6761410506 0.08863792466 1.679703497 +-30 -20 2.10024644269044 -0.5015465431 0.06861009796 1.734729499 +-25 -20 2.05923831720125 -0.3264671556 0.05491206509 1.772364535 +-20 -20 2.01722606064785 -0.1528057758 0.04719422421 1.793569128 +-15 -20 1.97463379322500 0.01785586831 0.04507691189 1.799386396 +-10 -20 1.93180567756203 0.1842184264 0.04817069477 1.790886297 +-5 -20 1.88901771173478 0.3452214076 0.05609028350 1.769127406 +0 -20 1.84648954121928 0.5000000000 0.06846338246 1.735132596 +5 -20 1.80439616231891 0.6478450394 0.08493524221 1.689876534 +10 -20 1.76287741319158 0.7881678060 0.1051704202 1.634280839 +15 -20 1.72204725337880 0.9204703579 0.1288518160 1.569216739 +20 -20 1.68200491016616 1.044322990 0.1556770103 1.495515123 +25 -20 1.64284129629374 1.159347858 0.1853548080 1.413976044 +30 -20 1.60464629438007 1.265209223 0.2176006748 1.325381253 +35 -20 1.56750993468435 1.361607117 0.2521337218 1.230502486 +40 -20 1.53153211586116 1.448280412 0.2886712009 1.130116588 +45 -20 1.49682039564813 1.525009253 0.3269271419 1.025009253 + +-45 -15 2.16214615201308 -1.002143668 0.2975018174 1.502143668 +-40 -15 2.12444280501427 -0.8376766888 0.2728404886 1.594181000 +-35 -15 2.08427392496955 -0.6676936469 0.2531573818 1.667639354 +-30 -15 2.04233820749747 -0.4947381304 0.2383404270 1.722936982 +-25 -15 1.99925150755855 -0.3210567228 0.2282052912 1.760761824 +-20 -15 1.95554196488002 -0.1485909372 0.2225174987 1.781988954 +-15 -15 1.91165350810921 0.02101073083 0.2210107308 1.787612289 +-10 -15 1.86795259648355 0.1863690444 0.2234015751 1.778689537 +-5 -15 1.82473715185291 0.3463436109 0.2294006823 1.756300564 +0 -15 1.78224640282752 0.5000000000 0.2387206879 1.721517829 +5 -15 1.74067077895163 0.6465773775 0.2510813818 1.675387092 +10 -15 1.70016036365701 0.7854584857 0.2662128937 1.618915520 +15 -15 1.66083401911093 0.9161432339 0.2838567661 1.553067692 +20 -15 1.62278937557136 1.038227510 0.3037653275 1.478767930 +25 -15 1.58610734499452 1.151385828 0.3257013937 1.396901416 +30 -15 1.55085876180317 1.255358902 0.3494367137 1.308319996 +35 -15 1.51710655029045 1.349943791 0.3747510704 1.213845530 +40 -15 1.48491443269242 1.434991244 0.4014297951 1.114279174 +45 -15 1.45434335278555 1.510400086 0.4292641129 1.010400086 + +-45 -10 2.11288281784061 -0.9825546069 0.4385856224 1.482554607 +-40 -10 2.07200435061777 -0.8198725667 0.4226442058 1.572962873 +-35 -10 2.02909477387626 -0.6518873419 0.4099305477 1.645065611 +-30 -10 1.98484901893453 -0.4810521392 0.4003795255 1.699232150 +-25 -10 1.93988508817006 -0.3095587283 0.3938779714 1.736104295 +-20 -10 1.89473753172882 -0.1393217823 0.3902777509 1.756522161 +-15 -10 1.84985842579599 0.02801820896 0.3894070723 1.761460024 +-10 -10 1.80562281784185 0.1910798385 0.3910798385 1.751973295 +-5 -10 1.76233562728474 0.3487184966 0.3951032321 1.729155496 +0 -10 1.72024009406138 0.5000000000 0.4012834425 1.694105782 +5 -10 1.67952608138925 0.6441730092 0.4094298805 1.647905036 +10 -10 1.64033850059574 0.7806420197 0.4193579803 1.591599984 +15 -10 1.60278626955135 0.9089426108 0.4308907141 1.526194601 +20 -10 1.56695042178190 1.028719952 0.4438592941 1.452646129 +25 -10 1.53289060165120 1.139710555 0.4581034137 1.371863712 +30 -10 1.50064954515263 1.241726667 0.4734712693 1.284708272 +35 -10 1.47025757854539 1.334643663 0.4898191765 1.191994683 +40 -10 1.44173924924517 1.418391934 0.5070106685 1.094496887 +45 -10 1.41511151486832 1.492946735 0.5249167002 0.9929467351 + +-45 -5 2.06377570004252 -0.9565252959 0.5725705485 1.456525296 +-40 -5 2.01980910093806 -0.7954022394 0.5649349774 1.543800273 +-35 -5 1.97431351418943 -0.6295227596 0.5588697904 1.613125678 +-30 -5 1.92797824462216 -0.4612339929 0.5543395892 1.664906114 +-25 -5 1.88141421469397 -0.2926322037 0.5512863107 1.699805246 +-20 -5 1.83514939385227 -0.1255476159 0.5496351632 1.718677949 +-15 -5 1.78962880588631 0.03845511717 0.5492999938 1.722508953 +-10 -5 1.74521893739536 0.1980645429 0.5501878186 1.712361069 +-5 -5 1.70221428812210 0.3522025313 0.5522025313 1.689332797 +0 -5 1.66084515519687 0.5000000000 0.5552478069 1.654525138 +5 -5 1.62128580124865 0.6407707238 0.5592292762 1.609016736 +10 -5 1.58366291685262 0.7739851009 0.5640560270 1.553846722 +15 -5 1.54806400821696 0.8992453736 0.5696415397 1.490004019 +20 -5 1.51454561707593 1.016263364 0.5759041605 1.418421936 +25 -5 1.48314068354764 1.124841175 0.5827672710 1.339976224 +30 -5 1.45386109064300 1.224852941 0.5901595470 1.255482122 +35 -5 1.42670573527465 1.316231357 0.5980145362 1.165699186 +40 -5 1.40166396050189 1.398955566 0.6062704617 1.071333525 +45 -5 1.37871812199693 1.473040733 0.6148699667 0.9730407333 + +-45 0 2.01471681471695 -0.9246199219 0.7000000000 1.424619922 +-40 0 1.96783322768946 -0.7648988167 0.7000000000 1.507447709 +-35 0 1.91999123060851 -0.6012617279 0.7000000000 1.572764742 +-30 0 1.87186647890483 -0.4359332395 0.7000000000 1.621083923 +-25 0 1.82404927335573 -0.2708765332 0.7000000000 1.653150060 +-20 0 1.77704346589692 -0.1077846609 0.7000000000 1.669874632 +-15 0 1.73126757347925 0.05191497982 0.7000000000 1.672276061 +-10 0 1.68705988967907 0.2070451245 0.7000000000 1.661429659 +-5 0 1.64468583867385 0.3566561841 0.7000000000 1.638427313 +0 0 1.60434642433960 0.5000000000 0.7000000000 1.604346424 +5 0 1.56618687367779 0.6365021803 0.7000000000 1.560227060 +10 0 1.53030503580834 0.7657346807 0.7000000000 1.507056264 +15 0 1.49675973546687 0.8873899255 0.7000000000 1.445758884 +20 0 1.46558073503317 1.001258133 0.7000000000 1.377195402 +25 0 1.43677367305194 1.107206792 0.7000000000 1.302159168 +30 0 1.41032382046561 1.205161910 0.7000000000 1.221376256 +35 0 1.38620555788868 1.295094844 0.7000000000 1.135513117 +40 0 1.36438238736274 1.377008093 0.7000000000 1.045177546 +45 0 1.34481372239406 1.450926903 0.7000000000 0.9509269025 + +-45 5 1.96556815387665 -0.8872145780 0.8213655495 1.387214578 +-40 5 1.91601949800226 -0.7288368972 0.8281245919 1.464470787 +-35 5 1.86615220484504 -0.5676426885 0.8333984952 1.524751777 +-30 5 1.81661211197564 -0.4057100716 0.8372466039 1.568735861 +-25 5 1.76795111418801 -0.2448306581 0.8397451611 1.597294501 +-20 5 1.72062729916998 -0.08651045437 0.8409813522 1.611424230 +-15 5 1.67501053867463 0.06801514355 0.8410482988 1.612189432 +-10 5 1.63139011368609 0.2177577500 0.8400409464 1.600675341 +-5 5 1.58998410435519 0.3619470959 0.8380529041 1.577951914 +0 5 1.55094953138256 0.5000000000 0.8351741584 1.545047700 +5 5 1.51439100728968 0.6314894129 0.8314894129 1.502930867 +10 5 1.48036980787630 0.7561146485 0.8270771394 1.452498350 +15 5 1.44891432416209 0.8736746915 0.8220093222 1.394572934 +20 5 1.42002818086772 0.9840451933 0.8163514570 1.329903239 +25 5 1.39369382045908 1.087157573 0.8101625299 1.259163479 +30 5 1.36987886699991 1.182981842 0.8034955239 1.182959251 +35 5 1.34854264462095 1.271513540 0.7963981175 1.101835525 +40 5 1.32963597425012 1.352760500 0.7889130130 1.016280389 +45 5 1.31310867553905 1.426736371 0.7810789265 0.9267363707 + +-45 10 1.91617706806071 -0.8445313275 0.9370771494 1.344531328 +-40 10 1.86429532539958 -0.6875613367 0.9495521355 1.415280489 +-35 10 1.81280104426928 -0.5291005641 0.9591491599 1.469707919 +-30 10 1.76228851757650 -0.3710470688 0.9660241242 1.508697779 +-25 10 1.71324643765268 -0.2149771993 0.9703574960 1.533273552 +-20 10 1.66606341335948 -0.06216262837 0.9723421577 1.544529128 +-15 10 1.62103785978336 0.08640059058 0.9721737447 1.543574010 +-10 10 1.57838978646457 0.2299566538 0.9700433462 1.531491920 +-5 10 1.53827329547763 0.3679523394 0.9661323692 1.509311667 +0 10 1.50078845534669 0.5000000000 0.9606091803 1.477988106 +5 10 1.46599151384537 0.6258428853 0.9536270999 1.438390761 +10 10 1.43390422635460 0.7453236195 0.9453236195 1.391299383 +15 10 1.40452477988600 0.8583572191 0.9358209998 1.337407349 +20 10 1.37783382318528 0.9649082846 0.9252268631 1.277325014 +25 10 1.35379847697063 1.064971286 0.9136350955 1.211584833 +30 10 1.33237918292445 1.158555606 0.9011276824 1.140651768 +35 10 1.31353149770178 1.245672565 0.8877760305 1.064930788 +40 10 1.29720910706766 1.326325829 0.8736427156 0.9847767759 +45 10 1.28336581555261 1.400504224 0.8587831909 0.9005042240 + +-45 15 1.86639008101671 -0.7966681455 1.047441182 1.296668146 +-40 15 1.81259138810130 -0.6413163209 1.064455870 1.360167826 +-35 15 1.75994404410086 -0.4859910708 1.077310293 1.408141182 +-30 15 1.70896381236109 -0.3323653063 1.086302083 1.441699001 +-25 15 1.66004798697567 -0.1817519230 1.091747538 1.462021717 +-20 15 1.61348977707041 -0.03514312935 1.093964000 1.470293664 +-15 15 1.56949409461381 0.1067431539 1.093256846 1.467654530 +-10 15 1.52819391766373 0.2434148384 1.089910759 1.455166762 +-5 15 1.48966624431150 0.3745590642 1.084184603 1.433796458 +0 15 1.45394598274889 0.5000000000 1.076308911 1.404403975 +5 15 1.42103679763811 0.6196618279 1.066485083 1.367740952 +10 15 1.39092001382998 0.7335367471 1.054886034 1.324452708 +15 15 1.36356584135982 0.8416588849 1.041658885 1.275088317 +20 15 1.33893794511125 0.9440830380 1.026926985 1.220108119 +25 15 1.31699691075105 1.040867001 1.010792400 1.159893027 +30 15 1.29770561349566 1.132058516 0.9933393780 1.094757462 +35 15 1.28102882645680 1.217683604 0.9746367778 1.024958408 +40 15 1.26693705858539 1.297739608 0.9547417204 0.9507090432 +45 15 1.25540346253028 1.372187275 0.9337018761 0.8721872754 + +-45 20 1.81605571190435 -0.7436187501 1.152640208 1.243618750 +-40 20 1.76084400714314 -0.5902637058 1.172915875 1.299325688 +-35 20 1.70759353297531 -0.4386063258 1.187890726 1.340468753 +-30 20 1.65670605703719 -0.2900350123 1.198049873 1.368380781 +-25 20 1.60845749221467 -0.1455480540 1.203873939 1.384382269 +-20 20 1.56302102230034 -0.005817950180 1.205817950 1.389723396 +-15 20 1.52048927342258 0.1287438294 1.204297827 1.385546891 +-10 20 1.48089486566967 0.2579263192 1.199683111 1.372868065 +-5 20 1.44422940491446 0.3816655911 1.192294668 1.352568483 +0 20 1.41045848761975 0.5000000000 1.182405214 1.325397433 +5 20 1.37953231122369 0.6130333866 1.170241361 1.291977521 +10 20 1.35139417872546 0.7209049209 1.155987027 1.252814062 +15 20 1.32599069444226 0.8237656695 1.139788848 1.208309928 +20 20 1.30327457854203 0.9217599549 1.121759955 1.158775952 +25 20 1.28320760785848 1.015010299 1.101984432 1.104443151 +30 20 1.26576374348999 1.103605975 1.080522223 1.045476216 +35 20 1.25092927206025 1.187593450 1.057413389 0.9819852145 +40 20 1.23870273854007 1.266968927 1.032682615 0.9140379737 +45 20 1.22909302901003 1.341671941 1.006343534 0.8416719412 + +-45 25 1.76504253699399 -0.6853018443 1.252715327 1.185301844 +-40 25 1.70901534715739 -0.5345126193 1.274903312 1.232884131 +-35 25 1.65578362053281 -0.3871975303 1.290834831 1.267049384 +-30 25 1.60559650678582 -0.2443911968 1.301221363 1.289323374 +-25 25 1.55857822418853 -0.1067258570 1.306725857 1.301127799 +-20 25 1.51476031615605 0.02547813622 1.307943063 1.303738106 +-15 25 1.47411003546660 0.1521311539 1.305390542 1.298264208 +-10 25 1.43655314506288 0.2733058697 1.299506715 1.285646300 +-5 25 1.40199320782159 0.3891814569 1.290654071 1.266661744 +0 25 1.37032732732893 0.5000000000 1.279125353 1.241938328 +5 25 1.34145531728075 0.6060334123 1.265149703 1.211967449 +10 25 1.31528645048009 0.7075577357 1.248899331 1.177118413 +15 25 1.29174807360526 0.8048340361 1.230497757 1.137656111 +20 25 1.27078665502392 0.8980933786 1.210025199 1.093752568 +25 25 1.25237121543806 0.9875250964 1.187525096 1.045500943 +30 25 1.23649433318397 1.073267002 1.163009732 0.9929275744 +35 25 1.22317160612957 1.155396523 1.136465478 0.9360032382 +40 25 1.21244043346051 1.233922566 1.107858257 0.8746548545 +45 25 1.20435929696334 1.308778976 1.077139830 0.8087789762 + +-45 30 1.71324918927709 -0.6215848706 1.347547327 1.121584871 +-40 30 1.65710176620311 -0.4741419936 1.370267417 1.160937221 +-35 30 1.60457819871938 -0.3319936811 1.386013431 1.188210117 +-30 30 1.55573523958581 -0.1957459501 1.395745950 1.205067335 +-25 30 1.51051875792660 -0.06561915930 1.400310982 1.212974202 +-20 30 1.46880366727474 0.05843857904 1.400429819 1.213180033 +-15 30 1.43042572915461 0.1766599534 1.396700973 1.206721482 +-10 30 1.39520466371756 0.2893885734 1.389608382 1.194436754 +-5 30 1.36296021328026 0.3970271863 1.379532402 1.176984646 +0 30 1.33352668976328 0.5000000000 1.366763345 1.154867990 +5 30 1.30675933556639 0.5987267891 1.351512276 1.128452363 +10 30 1.28253902497656 0.6936041218 1.333921090 1.097983536 +15 30 1.26077831897817 0.7849921615 1.314072764 1.063605227 +20 30 1.24142158763944 0.8732043243 1.291997908 1.025370454 +25 30 1.22444841738778 0.9584990956 1.267682241 0.9832544836 +30 30 1.20987215763974 1.041071278 1.241071278 0.9371629435 +35 30 1.19774194456131 1.121044042 1.212076670 0.8869428100 +40 30 1.18814165341788 1.198459625 1.180581611 0.8323917679 +45 30 1.18118781991306 1.273268942 1.146447032 0.7732689421 + +-45 35 1.66062445347297 -0.5523165834 1.436840004 1.052316583 +-40 35 1.60515404061322 -0.4092314478 1.458730775 1.083579844 +-35 35 1.55408691188845 -0.2732247725 1.473224772 1.104279418 +-30 35 1.50725212133791 -0.1444031211 1.481528904 1.116138946 +-25 35 1.46440019921087 -0.02254330445 1.484650980 1.120597733 +-20 35 1.42524456452561 0.09278154192 1.483408661 1.118823518 +-15 35 1.38949280119457 0.2021098840 1.478449462 1.111741048 +-10 35 1.35686674624931 0.3060289746 1.470273350 1.100064350 +-5 35 1.32711307986522 0.4051337359 1.459253491 1.084326360 +0 35 1.30001301085575 0.5000000000 1.445656830 1.064908315 +5 35 1.27538563605879 0.5911686218 1.429659749 1.042062116 +10 35 1.25308979972115 0.6791355813 1.411360700 1.015928366 +15 35 1.23302725954798 0.7643458340 1.390791206 0.9865520833 +20 35 1.21514196885562 0.8471883010 1.367922381 0.9538920174 +25 35 1.19942311286446 0.9279912808 1.342671669 0.9178302635 +30 35 1.18590558971587 1.007016213 1.314906745 0.8781778420 +35 35 1.17467225632721 1.084449738 1.284449738 0.8346807281 +40 35 1.16585392399047 1.160392102 1.251080600 0.7870246603 +45 35 1.15962908512984 1.234842194 1.214542044 0.7348421941 + +-45 40 1.60718628656802 -0.4773627713 1.520104741 0.9773627713 +-40 40 1.55328428642508 -0.3398859816 1.539885982 1.000937136 +-35 40 1.50446577295001 -0.2111370332 1.552197084 1.015608937 +-30 40 1.46030662857360 -0.09066737577 1.558454224 1.023065905 +-25 40 1.42035593580721 0.02220011793 1.559779371 1.024645154 +-20 40 1.38417438819656 0.1282475679 1.557040767 1.021381413 +-15 40 1.35135553626055 0.2282843439 1.550894547 1.014056634 +-10 40 1.32153935664966 0.3231004690 1.541824266 1.003247094 +-5 40 1.29441568090112 0.4134421747 1.530172005 0.9893604699 +0 40 1.26972599416456 0.5000000000 1.516164137 0.9726665421 +5 40 1.24726351345814 0.5834047508 1.499931017 0.9533206635 +10 40 1.22687119010237 0.6642273739 1.481520380 0.9313797201 +15 40 1.20844281689562 0.7429803439 1.460908122 0.9068149885 +20 40 1.19192213150234 0.8201185884 1.438003727 0.8795185931 +25 40 1.17730529026306 0.8960389890 1.412654326 0.8493083527 +30 40 1.16464356595554 0.9710770638 1.384646066 0.8159294088 +35 40 1.15404652974061 1.045499432 1.353703863 0.7790539272 +40 40 1.14568727880173 1.119491675 1.319491675 0.7382814296 +45 40 1.13980643838574 1.193139550 1.281613141 0.6931395500 + +-45 45 1.55305166698359 -0.3966547980 1.596654798 0.8966547980 +-40 45 1.50169228129008 -0.2662739345 1.613209714 0.9132097144 +-35 45 1.45593486911459 -0.1460166553 1.622607399 0.9226073987 +-30 45 1.41509676343882 -0.03485630245 1.626398291 0.9263982906 +-25 45 1.37853862058090 0.06831667859 1.625747870 0.9257478702 +-20 45 1.34568990403306 0.1645954451 1.621516441 0.9215164411 +-15 45 1.31605587117962 0.2550072663 1.614325330 0.9143253296 +-10 45 1.28921726356587 0.3404928443 1.604610032 0.9046100320 +-5 45 1.26482655601315 0.4219022909 1.592660900 0.8926609000 +0 45 1.24260111160735 0.5000000000 1.578651672 0.8786516723 +5 45 1.22231934199335 0.5754730678 1.562661112 0.8626611124 +10 45 1.20381547660015 0.6489409024 1.544685832 0.8446858319 +15 45 1.18697797239038 0.7209640066 1.524648899 0.8246488994 +20 45 1.17174911145341 0.7920509309 1.502403338 0.8024033381 +25 45 1.15812634983236 0.8626621858 1.477731567 0.7777315672 +30 45 1.14616805768257 0.9332108059 1.450343126 0.7503431262 +35 45 1.13599930175541 1.004057211 1.419868301 0.7198683011 +40 45 1.12782299231185 1.075498305 1.385852172 0.6858521719 +45 45 1.12193003009452 1.147746605 1.347746605 0.6477466049 + + +### +x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = dsigma = dphi +# +# dpx dpy gridfn global_x global_y global_z +45 -45 1.77573276582427 1.525219790 -0.3252197904 1.025219790 +45 -40 1.70924130976892 1.539424513 -0.1721807256 1.039424513 +45 -35 1.64865264850502 1.544730203 -0.03152796352 1.044730203 +45 -30 1.59343305490602 1.543146798 0.09773891513 1.043146798 +45 -25 1.54301014460330 1.536197560 0.2168131424 1.036197560 +45 -20 1.49682045868840 1.525009297 0.3269271262 1.025009297 +45 -15 1.45434338903689 1.510400111 0.4292641062 1.010400111 +45 -10 1.41511153756018 1.492946751 0.5249166974 0.9929467511 +45 -5 1.37871814046111 1.473040746 0.6148699655 0.9730407463 +45 0 1.34481373365481 1.450926911 0.7000000000 0.9509269105 +45 5 1.31310868209261 1.426736375 0.7810789269 0.9267363753 +45 10 1.28336582340520 1.400504229 0.8587831919 0.9005042295 +45 15 1.25540346970833 1.372187280 0.9337018774 0.8721872804 +45 20 1.22909304702226 1.341671954 1.006343538 0.8416719536 +45 25 1.20435932430960 1.308778995 1.077139839 0.8087789945 +45 30 1.18118783616942 1.273268953 1.146447038 0.7732689527 +45 35 1.15962910312926 1.234842205 1.214542052 0.7348422055 +45 40 1.13980647544964 1.193139573 1.281613160 0.6931395725 +45 45 1.12193004830080 1.147746615 1.347746615 0.6477466154 + +50 -45 1.78957689680926 1.588278223 -0.3882782226 0.9131738552 +50 -40 1.71973697893295 1.608199331 -0.2298896495 0.9298896495 +50 -35 1.65535666204244 1.617469769 -0.08246075565 0.9376684706 +50 -30 1.59615617461419 1.618239779 0.05438396256 0.9383145861 +50 -25 1.54175619298109 1.612223332 0.1813617428 0.9332661875 +50 -20 1.49173449385155 1.600749947 0.2993597838 0.9236388748 +50 -15 1.44567254427398 1.584832078 0.4093201209 0.9102821962 +50 -10 1.40317065597096 1.565217525 0.5121734100 0.8938236325 +50 -5 1.36387032426444 1.542446723 0.6087977294 0.8747166609 +50 0 1.32745423747761 1.516888942 0.7000000000 0.8532711363 +50 5 1.29365689936457 1.488780511 0.7865070854 0.8296853617 +50 10 1.26225897582082 1.458244371 0.8689643367 0.8040624981 +50 15 1.23309460178837 1.425313678 0.9479370527 0.7764303657 +50 20 1.20604891230963 1.389942736 1.023912666 0.7467506214 +50 25 1.18106008449068 1.352017062 1.097302081 0.7149272027 +50 30 1.15812566218178 1.311363077 1.168440691 0.6808144583 +50 35 1.13730226758975 1.267750498 1.237584686 0.6442191597 +50 40 1.11871127138480 1.220898078 1.304905311 0.6049053110 +50 45 1.10254789379150 1.170481869 1.370481869 0.5626010889 + +55 -45 1.80154847096475 1.641618340 -0.4416183399 0.7993697674 +55 -40 1.72906440795510 1.667227129 -0.2794198533 0.8173012344 +55 -35 1.66153912729184 1.680631177 -0.1266868499 0.8266868499 +55 -30 1.59892307018108 1.684022424 0.01640433463 0.8290614269 +55 -25 1.54102720139053 1.679234740 0.1501138101 0.8257090541 +55 -20 1.48758346696948 1.667759843 0.2749701765 0.8176742446 +55 -15 1.43829018774006 1.650784113 0.3916483263 0.8057877108 +55 -10 1.39283260404947 1.629223262 0.5008874717 0.7906906403 +55 -5 1.35091441511783 1.603773395 0.6034323408 0.7728704520 +55 0 1.31226104198977 1.574941315 0.7000000000 0.7526820120 +55 5 1.27663773631034 1.543085153 0.7912581260 0.7303760869 +55 10 1.24384538288825 1.508433559 0.8778140448 0.7061127801 +55 15 1.21373224573044 1.471114034 0.9602092211 0.6799813668 +55 20 1.18619080953003 1.431165225 1.038916425 0.6520089095 +55 25 1.16116167776810 1.388551602 1.114338417 0.6221705300 +55 30 1.13863873619787 1.343176149 1.186807977 0.5903982955 +55 35 1.11866611543745 1.294884737 1.256584285 0.5565842849 +55 40 1.10134299081818 1.243475727 1.323850208 0.5205873082 +55 45 1.08682802508415 1.188709089 1.388709089 0.4822392956 + +60 -45 1.81169499683170 1.686032780 -0.4860327799 0.6847563447 +60 -40 1.73715941313965 1.717024242 -0.3212045925 0.7026492736 +60 -35 1.66707537154878 1.734490051 -0.1643992397 0.7127331634 +60 -30 1.60158685479597 1.740583843 -0.01625141584 0.7162514158 +60 -25 1.54068248149181 1.737196223 0.1230859264 0.7142955726 +60 -20 1.48424819119279 1.725936666 0.2537955447 0.7077948638 +60 -15 1.43210341521119 1.708136795 0.3762807214 0.6975181038 +60 -10 1.38402868563950 1.684868983 0.4910756296 0.6840844265 +60 -5 1.33979944489784 1.656984158 0.5987770023 0.6679851153 +60 0 1.29919051026341 1.625131986 0.7000000000 0.6495952551 +60 5 1.26200131553779 1.589801564 0.7953452823 0.6291972261 +60 10 1.22805332797036 1.551338251 0.8853792996 0.6069904224 +60 15 1.19720570432436 1.509974732 0.9706219137 0.5831091832 +60 20 1.16935166451374 1.465843239 1.051538190 0.5576298540 +60 25 1.14442495684725 1.418994181 1.128534024 0.5305815375 +60 30 1.12240420996400 1.369410563 1.201954422 0.5019544223 +60 35 1.10330802497820 1.317013318 1.272078884 0.4717028589 +60 40 1.08720027538464 1.261673961 1.339120340 0.4397526663 +60 45 1.07419061727758 1.203222831 1.403222831 0.4060058906 + +65 -45 1.82009152807846 1.722269605 -0.5222696053 0.5699536773 +65 -40 1.74399443896617 1.758118057 -0.3556863975 0.5866700848 +65 -35 1.67187186503422 1.779360534 -0.1958178902 0.5965756147 +65 -30 1.60402487985146 1.788061328 -0.04366255465 0.6006328616 +65 -25 1.54059804590902 1.786117638 0.1002734959 0.5997265041 +65 -20 1.48162019472671 1.775214755 0.2358597867 0.5946424063 +65 -15 1.42702759878745 1.756798211 0.3632419343 0.5860546305 +65 -10 1.37669785681677 1.732078682 0.4827512860 0.5745277249 +65 -5 1.33048084954911 1.702052323 0.5948340487 0.5605262039 +65 0 1.28820369212326 1.667509037 0.7000000000 0.5444184051 +65 5 1.24970122527573 1.629070187 0.7987808417 0.5264940748 +65 10 1.21481468994694 1.587200997 0.8917028692 0.5069701507 +65 15 1.18341078540891 1.542242322 0.9792679885 0.4860055763 +65 20 1.15537815429300 1.494421698 1.061939899 0.4637064534 +65 25 1.13063660909959 1.443874808 1.140136052 0.4401360515 +65 30 1.10914097063167 1.390660494 1.214223076 0.4153218092 +65 35 1.09087732321754 1.334768157 1.284510956 0.3892587843 +65 40 1.07586871028424 1.276131977 1.351252055 0.3619162845 +65 45 1.06417319645362 1.214637991 1.414637991 0.3332411680 + +70 -45 1.82682099096959 1.750990717 -0.5509907171 0.4553233844 +70 -40 1.74956260167173 1.791001146 -0.3832785857 0.4698859896 +70 -35 1.67586065774319 1.815558301 -0.2211638391 0.4788240629 +70 -30 1.60613770095739 1.826613102 -0.06592043170 0.4828476816 +70 -25 1.54066777075145 1.826036377 0.08165908260 0.4826377706 +70 -20 1.47960247162263 1.815553753 0.2211775922 0.4788224078 +70 -15 1.42298458703699 1.796695679 0.3525514399 0.4719586301 +70 -10 1.37078264542717 1.770788198 0.4759257539 0.4625290782 +70 -5 1.32291677412602 1.738955202 0.5916054652 0.4509428152 +70 0 1.27926550173095 1.702116352 0.7000000000 0.4375345703 +70 5 1.23969726875020 1.661017390 0.8015758598 0.4225757715 +70 10 1.20407067344128 1.616237360 0.8968227635 0.4062771735 +70 15 1.17225652841261 1.568219564 0.9862285695 0.3888001250 +70 20 1.14413569008749 1.517281351 1.070260132 0.3702601316 +70 25 1.11961091096590 1.463637212 1.149351412 0.3507352619 +70 30 1.09860989963747 1.407413036 1.223895160 0.3302713352 +70 35 1.08108435496877 1.348656176 1.294235452 0.3088855871 +70 40 1.06701633437154 1.287350684 1.360665668 0.2865722128 +70 45 1.05641549626496 1.223423907 1.423423907 0.2633047690 + +75 -45 1.83196241578435 1.772749642 -0.5727496425 0.3410322389 +75 -40 1.75387218675005 1.816104961 -0.4043431877 0.3526492616 +75 -35 1.67899829361935 1.843376030 -0.2406420227 0.3599565223 +75 -30 1.60785204149078 1.856400098 -0.08311796150 0.3634463108 +75 -25 1.54080842760001 1.857006183 0.06721762460 0.3636087109 +75 -20 1.47811686672144 1.846935007 0.2097557500 0.3609101473 +75 -15 1.41990983219878 1.827776323 0.3442234066 0.3557765934 +75 -10 1.36623415631800 1.800946503 0.4706080310 0.3485875649 +75 -5 1.31707133226923 1.767674701 0.5890928346 0.3396724124 +75 0 1.27234506292710 1.728990956 0.7000000000 0.3293071342 +75 5 1.23195332399162 1.685749035 0.8037395984 0.3177204964 +75 10 1.19576902943640 1.638627321 0.9007707177 0.3050942712 +75 15 1.16366466977261 1.588158108 0.9915710862 0.2915710862 +75 20 1.13551176496831 1.534735873 1.076613058 0.2772566416 +75 25 1.11119563042502 1.478641676 1.156348108 0.2622262466 +75 30 1.09061788820820 1.420056182 1.231194684 0.2465283109 +75 35 1.07369859439320 1.359072317 1.301528912 0.2301877337 +75 40 1.06038380775083 1.295711569 1.367681284 0.2132102725 +75 45 1.05064261925389 1.229930378 1.429930378 0.1955842552 + +80 -45 1.83558423412685 1.787981444 -0.5879814440 0.2271058792 +80 -40 1.75693721574535 1.833779541 -0.4191739205 0.2351813193 +80 -35 1.68125643173569 1.863059614 -0.2544246169 0.2403441863 +80 -30 1.60911345452499 1.877564383 -0.09533716756 0.2429017685 +80 -25 1.54095504572854 1.879081003 0.05692396690 0.2431691895 +80 -20 1.47710126236415 1.869351194 0.2015969252 0.2414535615 +80 -15 1.41775213495917 1.850002614 0.3382678898 0.2380418849 +80 -10 1.36301454903105 1.822516014 0.4668047444 0.2331952556 +80 -5 1.31291754802780 1.788198774 0.5872972109 0.2271442004 +80 0 1.26742009377422 1.748165135 0.7000000000 0.2200851896 +80 5 1.22644281815877 1.703352135 0.8052796701 0.2121834487 +80 10 1.18986933882278 1.654515376 0.9035722105 0.2035722105 +80 15 1.15757281440144 1.602256372 0.9953487048 0.1943575381 +80 20 1.12941624692522 1.547028748 1.081087299 0.1846194179 +80 25 1.10527010035460 1.489163833 1.161254670 0.1744162720 +80 30 1.08501463650811 1.428882618 1.236290630 0.1637870675 +80 35 1.06854467420150 1.366310495 1.306597139 0.1527539139 +80 40 1.05577839727093 1.301494563 1.372533792 0.1413251163 +80 45 1.04665436927316 1.234409994 1.434409994 0.1294962968 + +85 -45 1.83773583562222 1.796995953 -0.5969959534 0.1134724426 +85 -40 1.75876937023772 1.844279829 -0.4279847089 0.1176092457 +85 -35 1.68261649207968 1.874792731 -0.2626402341 0.1202787787 +85 -30 1.60988369257448 1.890215481 -0.1026412820 0.1216280944 +85 -25 1.54106035767673 1.892305033 0.05075750047 0.1218109066 +85 -20 1.47650923407069 1.882799608 0.1967021027 0.1209792896 +85 -15 1.41647220775658 1.863347556 0.3346921233 0.1192774556 +85 -10 1.36109386585456 1.835468059 0.4645209493 0.1168383157 +85 -5 1.31043333363783 1.800516641 0.5862195372 0.1137804628 +85 0 1.26447198506112 1.759660287 0.7000000000 0.1102059950 +85 5 1.22314470345780 1.713888567 0.8062014884 0.1062014884 +85 10 1.18634171576656 1.664006031 0.9052456689 0.1018373320 +85 15 1.15393621103655 1.610657946 0.9975998998 0.09716997936 +85 20 1.12578528831550 1.554335062 1.083746580 0.09224236552 +85 25 1.10174946949554 1.495399904 1.164162598 0.08708620726 +85 30 1.08169509791469 1.434098083 1.239301779 0.08172299285 +85 35 1.06550075784592 1.370574313 1.309582697 0.07616538318 +85 40 1.05306714551748 1.304890594 1.375383400 0.07041880233 +85 45 1.04431410938164 1.237032574 1.437032574 0.06448199491 + +90 -45 1.83844876145489 1.799979586 -0.5999795861 0.000000000 +90 -40 1.75937821116075 1.847761902 -0.4309065149 0.000000000 +90 -35 1.68306998712848 1.878690221 -0.2653692853 0.000000000 +90 -30 1.61014199176959 1.894423869 -0.1050709959 0.000000000 +90 -25 1.54109772389663 1.896708868 0.04870395875 0.000000000 +90 -20 1.47631414711794 1.887281510 0.1950708238 0.000000000 +90 -15 1.41604738175712 1.867796737 0.3334999688 0.000000000 +90 -10 1.36045484759025 1.839786482 0.4637594949 0.000000000 +90 -5 1.30960596313084 1.804622517 0.5858603196 0.000000000 +90 0 1.26348979066422 1.763489791 0.7000000000 0.000000000 +90 5 1.22204608386385 1.717395830 0.8065083341 0.000000000 +90 10 1.18516729060180 1.667161936 0.9058021402 0.000000000 +90 15 1.15272654961961 1.613448345 0.9983475848 0.000000000 +90 20 1.12457885627727 1.556758453 1.084628622 0.000000000 +90 25 1.10058123712030 1.497465345 1.165125729 0.000000000 +90 30 1.08059521140912 1.435822904 1.240297606 0.000000000 +90 35 1.06449378570598 1.371982261 1.310568552 0.000000000 +90 40 1.05217169369718 1.306010279 1.376322928 0.000000000 +90 45 1.04354246440071 1.237895953 1.437895953 0.000000000 + +95 -45 1.83773583562222 1.796995953 -0.5969959534 -0.1134724426 +95 -40 1.75876937023772 1.844279829 -0.4279847089 -0.1176092457 +95 -35 1.68261649207968 1.874792731 -0.2626402341 -0.1202787787 +95 -30 1.60988369257448 1.890215481 -0.1026412820 -0.1216280944 +95 -25 1.54106035767673 1.892305033 0.05075750047 -0.1218109066 +95 -20 1.47650923407069 1.882799608 0.1967021027 -0.1209792896 +95 -15 1.41647220775658 1.863347556 0.3346921233 -0.1192774556 +95 -10 1.36109386585456 1.835468059 0.4645209493 -0.1168383157 +95 -5 1.31043333363783 1.800516641 0.5862195372 -0.1137804628 +95 0 1.26447198506112 1.759660287 0.7000000000 -0.1102059950 +95 5 1.22314470345780 1.713888567 0.8062014884 -0.1062014884 +95 10 1.18634171576656 1.664006031 0.9052456689 -0.1018373320 +95 15 1.15393621103655 1.610657946 0.9975998998 -0.09716997936 +95 20 1.12578528831550 1.554335062 1.083746580 -0.09224236552 +95 25 1.10174946949554 1.495399904 1.164162598 -0.08708620726 +95 30 1.08169509791469 1.434098083 1.239301779 -0.08172299285 +95 35 1.06550075784592 1.370574313 1.309582697 -0.07616538318 +95 40 1.05306714551748 1.304890594 1.375383400 -0.07041880233 +95 45 1.04431410938164 1.237032574 1.437032574 -0.06448199491 + +100 -45 1.83558423412685 1.787981444 -0.5879814440 -0.2271058792 +100 -40 1.75693721574535 1.833779541 -0.4191739205 -0.2351813193 +100 -35 1.68125643173569 1.863059614 -0.2544246169 -0.2403441863 +100 -30 1.60911345452499 1.877564383 -0.09533716756 -0.2429017685 +100 -25 1.54095504572854 1.879081003 0.05692396690 -0.2431691895 +100 -20 1.47710126236415 1.869351194 0.2015969252 -0.2414535615 +100 -15 1.41775213495917 1.850002614 0.3382678898 -0.2380418849 +100 -10 1.36301454903105 1.822516014 0.4668047444 -0.2331952556 +100 -5 1.31291754802780 1.788198774 0.5872972109 -0.2271442004 +100 0 1.26742009377423 1.748165135 0.7000000000 -0.2200851896 +100 5 1.22644281815877 1.703352135 0.8052796701 -0.2121834487 +100 10 1.18986933882278 1.654515376 0.9035722105 -0.2035722105 +100 15 1.15757281440144 1.602256372 0.9953487048 -0.1943575381 +100 20 1.12941624692522 1.547028748 1.081087299 -0.1846194179 +100 25 1.10527010035460 1.489163833 1.161254670 -0.1744162720 +100 30 1.08501463650811 1.428882618 1.236290630 -0.1637870675 +100 35 1.06854467420150 1.366310495 1.306597139 -0.1527539139 +100 40 1.05577839727093 1.301494563 1.372533792 -0.1413251163 +100 45 1.04665436927316 1.234409994 1.434409994 -0.1294962968 + +105 -45 1.83196241578435 1.772749642 -0.5727496425 -0.3410322389 +105 -40 1.75387218675005 1.816104961 -0.4043431877 -0.3526492616 +105 -35 1.67899829361935 1.843376030 -0.2406420227 -0.3599565223 +105 -30 1.60785204149078 1.856400098 -0.08311796150 -0.3634463108 +105 -25 1.54080842760001 1.857006183 0.06721762460 -0.3636087109 +105 -20 1.47811686672144 1.846935007 0.2097557500 -0.3609101473 +105 -15 1.41990983219878 1.827776323 0.3442234066 -0.3557765934 +105 -10 1.36623415631800 1.800946503 0.4706080310 -0.3485875649 +105 -5 1.31707133226923 1.767674701 0.5890928346 -0.3396724124 +105 0 1.27234506292711 1.728990956 0.7000000000 -0.3293071342 +105 5 1.23195332399162 1.685749035 0.8037395984 -0.3177204964 +105 10 1.19576902943640 1.638627321 0.9007707177 -0.3050942712 +105 15 1.16366466977261 1.588158108 0.9915710862 -0.2915710862 +105 20 1.13551176496831 1.534735873 1.076613058 -0.2772566416 +105 25 1.11119563042502 1.478641676 1.156348108 -0.2622262466 +105 30 1.09061788820820 1.420056182 1.231194684 -0.2465283109 +105 35 1.07369859439320 1.359072317 1.301528912 -0.2301877337 +105 40 1.06038380775083 1.295711569 1.367681284 -0.2132102725 +105 45 1.05064261925389 1.229930378 1.429930378 -0.1955842552 + +110 -45 1.82682099096959 1.750990717 -0.5509907171 -0.4553233844 +110 -40 1.74956260167174 1.791001146 -0.3832785857 -0.4698859896 +110 -35 1.67586065774320 1.815558301 -0.2211638391 -0.4788240629 +110 -30 1.60613770095739 1.826613102 -0.06592043170 -0.4828476816 +110 -25 1.54066777075145 1.826036377 0.08165908260 -0.4826377706 +110 -20 1.47960247162263 1.815553753 0.2211775922 -0.4788224078 +110 -15 1.42298458703699 1.796695679 0.3525514399 -0.4719586301 +110 -10 1.37078264542717 1.770788198 0.4759257539 -0.4625290782 +110 -5 1.32291677412602 1.738955202 0.5916054652 -0.4509428152 +110 0 1.27926550173095 1.702116352 0.7000000000 -0.4375345703 +110 5 1.23969726875020 1.661017390 0.8015758598 -0.4225757715 +110 10 1.20407067344128 1.616237360 0.8968227635 -0.4062771735 +110 15 1.17225652841261 1.568219564 0.9862285695 -0.3888001250 +110 20 1.14413569008749 1.517281351 1.070260132 -0.3702601316 +110 25 1.11961091096590 1.463637212 1.149351412 -0.3507352619 +110 30 1.09860989963747 1.407413036 1.223895160 -0.3302713352 +110 35 1.08108435496877 1.348656176 1.294235452 -0.3088855871 +110 40 1.06701633437154 1.287350684 1.360665668 -0.2865722128 +110 45 1.05641549626496 1.223423907 1.423423907 -0.2633047690 + +115 -45 1.82009152807846 1.722269605 -0.5222696053 -0.5699536773 +115 -40 1.74399443896617 1.758118057 -0.3556863975 -0.5866700848 +115 -35 1.67187186503422 1.779360534 -0.1958178902 -0.5965756147 +115 -30 1.60402487985147 1.788061328 -0.04366255465 -0.6006328616 +115 -25 1.54059804590902 1.786117638 0.1002734959 -0.5997265041 +115 -20 1.48162019472671 1.775214755 0.2358597867 -0.5946424063 +115 -15 1.42702759878745 1.756798211 0.3632419343 -0.5860546305 +115 -10 1.37669785681677 1.732078682 0.4827512860 -0.5745277249 +115 -5 1.33048084954911 1.702052323 0.5948340487 -0.5605262039 +115 0 1.28820369212327 1.667509037 0.7000000000 -0.5444184051 +115 5 1.24970122527573 1.629070187 0.7987808417 -0.5264940748 +115 10 1.21481468994694 1.587200997 0.8917028692 -0.5069701507 +115 15 1.18341078540891 1.542242322 0.9792679885 -0.4860055763 +115 20 1.15537815429300 1.494421698 1.061939899 -0.4637064534 +115 25 1.13063660909959 1.443874808 1.140136052 -0.4401360515 +115 30 1.10914097063167 1.390660494 1.214223076 -0.4153218092 +115 35 1.09087732321754 1.334768157 1.284510956 -0.3892587843 +115 40 1.07586871028424 1.276131977 1.351252055 -0.3619162845 +115 45 1.06417319645362 1.214637991 1.414637991 -0.3332411680 + +120 -45 1.81169499683170 1.686032780 -0.4860327799 -0.6847563447 +120 -40 1.73715941313965 1.717024242 -0.3212045925 -0.7026492736 +120 -35 1.66707537154878 1.734490051 -0.1643992397 -0.7127331634 +120 -30 1.60158685479597 1.740583843 -0.01625141584 -0.7162514158 +120 -25 1.54068248149181 1.737196223 0.1230859264 -0.7142955726 +120 -20 1.48424819119279 1.725936666 0.2537955447 -0.7077948638 +120 -15 1.43210341521119 1.708136795 0.3762807214 -0.6975181038 +120 -10 1.38402868563950 1.684868983 0.4910756296 -0.6840844265 +120 -5 1.33979944489784 1.656984158 0.5987770023 -0.6679851153 +120 0 1.29919051026341 1.625131986 0.7000000000 -0.6495952551 +120 5 1.26200131553779 1.589801564 0.7953452823 -0.6291972261 +120 10 1.22805332797036 1.551338251 0.8853792996 -0.6069904224 +120 15 1.19720570432436 1.509974732 0.9706219137 -0.5831091832 +120 20 1.16935166451374 1.465843239 1.051538190 -0.5576298540 +120 25 1.14442495684725 1.418994181 1.128534024 -0.5305815375 +120 30 1.12240420996400 1.369410563 1.201954422 -0.5019544223 +120 35 1.10330802497820 1.317013318 1.272078884 -0.4717028589 +120 40 1.08720027538464 1.261673961 1.339120340 -0.4397526663 +120 45 1.07419061727758 1.203222831 1.403222831 -0.4060058906 + +125 -45 1.80154847096475 1.641618340 -0.4416183399 -0.7993697674 +125 -40 1.72906440795510 1.667227129 -0.2794198533 -0.8173012344 +125 -35 1.66153912729184 1.680631177 -0.1266868499 -0.8266868499 +125 -30 1.59892307018108 1.684022424 0.01640433463 -0.8290614269 +125 -25 1.54102720139053 1.679234740 0.1501138101 -0.8257090541 +125 -20 1.48758346696948 1.667759843 0.2749701765 -0.8176742446 +125 -15 1.43829018774006 1.650784113 0.3916483263 -0.8057877108 +125 -10 1.39283260404947 1.629223262 0.5008874717 -0.7906906403 +125 -5 1.35091441511783 1.603773395 0.6034323408 -0.7728704520 +125 0 1.31226104198977 1.574941315 0.7000000000 -0.7526820120 +125 5 1.27663773631034 1.543085153 0.7912581260 -0.7303760869 +125 10 1.24384538288825 1.508433559 0.8778140448 -0.7061127801 +125 15 1.21373224573044 1.471114034 0.9602092211 -0.6799813668 +125 20 1.18619080953003 1.431165225 1.038916425 -0.6520089095 +125 25 1.16116167776810 1.388551602 1.114338417 -0.6221705300 +125 30 1.13863873619787 1.343176149 1.186807977 -0.5903982955 +125 35 1.11866611543745 1.294884737 1.256584285 -0.5565842849 +125 40 1.10134299081818 1.243475727 1.323850208 -0.5205873082 +125 45 1.08682802508415 1.188709089 1.388709089 -0.4822392956 + +130 -45 1.78957689680926 1.588278223 -0.3882782226 -0.9131738552 +130 -40 1.71973697893295 1.608199331 -0.2298896495 -0.9298896495 +130 -35 1.65535666204245 1.617469769 -0.08246075565 -0.9376684706 +130 -30 1.59615617461419 1.618239779 0.05438396256 -0.9383145861 +130 -25 1.54175619298110 1.612223332 0.1813617428 -0.9332661875 +130 -20 1.49173449385155 1.600749947 0.2993597838 -0.9236388748 +130 -15 1.44567254427399 1.584832078 0.4093201209 -0.9102821962 +130 -10 1.40317065597096 1.565217525 0.5121734100 -0.8938236325 +130 -5 1.36387032426444 1.542446723 0.6087977294 -0.8747166609 +130 0 1.32745423747761 1.516888942 0.7000000000 -0.8532711363 +130 5 1.29365689936458 1.488780511 0.7865070854 -0.8296853617 +130 10 1.26225897582082 1.458244371 0.8689643367 -0.8040624981 +130 15 1.23309460178837 1.425313678 0.9479370527 -0.7764303657 +130 20 1.20604891230963 1.389942736 1.023912666 -0.7467506214 +130 25 1.18106008449068 1.352017062 1.097302081 -0.7149272027 +130 30 1.15812566218178 1.311363077 1.168440691 -0.6808144583 +130 35 1.13730226758975 1.267750498 1.237584686 -0.6442191597 +130 40 1.11871127138480 1.220898078 1.304905311 -0.6049053110 +130 45 1.10254789379150 1.170481869 1.370481869 -0.5626010889 + +135 -45 1.77573276582427 1.525219790 -0.3252197904 -1.025219790 +135 -40 1.70924130976892 1.539424513 -0.1721807256 -1.039424513 +135 -35 1.64865264850503 1.544730203 -0.03152796352 -1.044730203 +135 -30 1.59343305490602 1.543146798 0.09773891513 -1.043146798 +135 -25 1.54301014460330 1.536197560 0.2168131424 -1.036197560 +135 -20 1.49682045868840 1.525009297 0.3269271262 -1.025009297 +135 -15 1.45434338903689 1.510400111 0.4292641062 -1.010400111 +135 -10 1.41511153756018 1.492946751 0.5249166974 -0.9929467511 +135 -5 1.37871814046111 1.473040746 0.6148699655 -0.9730407463 +135 0 1.34481373365481 1.450926911 0.7000000000 -0.9509269105 +135 5 1.31310868209261 1.426736375 0.7810789269 -0.9267363753 +135 10 1.28336582340520 1.400504229 0.8587831919 -0.9005042295 +135 15 1.25540346970834 1.372187280 0.9337018774 -0.8721872804 +135 20 1.22909304702226 1.341671954 1.006343538 -0.8416719536 +135 25 1.20435932430960 1.308778995 1.077139839 -0.8087789945 +135 30 1.18118783616942 1.273268953 1.146447038 -0.7732689527 +135 35 1.15962910312926 1.234842205 1.214542052 -0.7348422055 +135 40 1.13980647544964 1.193139573 1.281613160 -0.6931395725 +135 45 1.12193004830080 1.147746615 1.347746615 -0.6477466154 + + +### +y patch +# N_rho = 19 +# 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 1.12193007665221 1.147746632 1.347746632 0.6477466318 +40 45 1.12782303761637 1.075498328 1.385852199 0.6858521995 +35 45 1.13599936930495 1.004057241 1.419868344 0.7198683439 +30 45 1.14616810610049 0.9332108242 1.450343158 0.7503431579 +25 45 1.15812637349745 0.8626621932 1.477731583 0.7777315831 +20 45 1.17174912795862 0.7920509351 1.502403349 0.8024033494 +15 45 1.18697797892972 0.7209640079 1.524648904 0.8246489040 +10 45 1.20381548437913 0.6489409034 1.544685837 0.8446858374 +5 45 1.22231934842317 0.5754730682 1.562661117 0.8626611170 +0 45 1.24260112099783 0.5000000000 1.578651679 0.8786516790 +-5 45 1.26482657114695 0.4219022899 1.592660911 0.8926609106 +-10 45 1.28921728681125 0.3404928415 1.604610048 0.9046100483 +-15 45 1.31605591527583 0.2550072581 1.614325360 0.9143253602 +-20 45 1.34568995868871 0.1645954314 1.621516479 0.9215164785 +-25 45 1.37853871809337 0.06831664806 1.625747936 0.9257479357 +-30 45 1.41509691568199 -0.03485635999 1.626398390 0.9263983903 +-35 45 1.45593502507269 -0.1460167245 1.622607497 0.9226074975 +-40 45 1.50169252026684 -0.2662740565 1.613209860 0.9132098597 +-45 45 1.55305198733355 -0.3966549830 1.596654983 0.8966549830 + +45 50 1.10254793832191 1.170481896 1.370481896 0.5626011116 +40 50 1.10630750300852 1.098198392 1.412905083 0.5981983924 +35 50 1.11274013198401 1.025974556 1.451169513 0.6303060613 +30 50 1.12157463995049 0.9536564694 1.485756054 0.6593276152 +25 50 1.13261486816102 0.8810053782 1.517068670 0.6856020198 +20 50 1.14573346691998 0.8077135414 1.545436007 0.7094050413 +15 50 1.16086567361367 0.7334140570 1.571113120 0.7309506977 +10 50 1.17800626201214 0.6576863785 1.594283892 0.7503932837 +5 50 1.19720579480657 0.5800573815 1.615060058 0.7678265569 +0 50 1.21856928835324 0.5000000000 1.633478232 0.7832812401 +-5 50 1.24225644710036 0.4169300727 1.649493613 0.7967197409 +-10 50 1.26848212046052 0.3302026413 1.662968673 0.8080266586 +-15 50 1.29751924258557 0.2391091516 1.673657901 0.8169959860 +-20 50 1.32969924367382 0.1428781431 1.681184238 0.8233113320 +-25 50 1.36541295469583 0.04068263294 1.685009272 0.8265209172 +-30 50 1.40510936668375 -0.06834109087 1.684395645 0.8260060230 +-35 50 1.44928483200242 -0.1850538804 1.678358334 0.8209401171 +-40 50 1.49846663176104 -0.3102451875 1.665612613 0.8102451875 +-45 50 1.55317818332675 -0.4445193419 1.644519342 0.7925458314 + +45 55 1.08682805283895 1.188709106 1.388709106 0.4822393079 +40 55 1.08860434020890 1.116634463 1.434876337 0.5145659508 +35 55 1.09335121274882 1.043989037 1.476896859 0.5439890371 +30 55 1.10083593811684 0.9706459552 1.515182707 0.5707970762 +25 55 1.11088568290655 0.8963983861 1.550079082 0.5952317815 +20 55 1.12338653046343 0.8209720929 1.581863578 0.6174875246 +15 55 1.13828066928563 0.7440333338 1.610744801 0.6377103748 +10 55 1.15556522572676 0.6651939458 1.636861422 0.6559974297 +5 55 1.17529042956403 0.5840134981 1.660278678 0.6723943689 +0 55 1.19755837446587 0.5000000000 1.680982391 0.6868912647 +-5 55 1.22252328474150 0.4126101472 1.698870589 0.6994167159 +-10 55 1.25039024423337 0.3212503339 1.713739732 0.7098282019 +-15 55 1.28141558090615 0.2252803068 1.725267853 0.7179002793 +-20 55 1.31590522078493 0.1240217936 1.732991632 0.7233085277 +-25 55 1.35420934744892 0.01677620112 1.736276781 0.7256088136 +-30 55 1.39671708636486 -0.09714551862 1.734286378 0.7242151184 +-35 55 1.44383826805529 -0.2183713522 1.725940615 0.7183713522 +-40 55 1.49597988422331 -0.3473902950 1.709880428 0.7071258886 +-45 55 1.55350836016071 -0.4844384782 1.684438478 0.6893112434 + +45 60 1.07419065144028 1.203222853 1.403222853 0.4060059035 +40 60 1.07419669530490 1.131476070 1.452563875 0.4344929556 +35 60 1.07739168043365 1.058640938 1.497821942 0.4606227131 +30 60 1.08358982534697 0.9845961018 1.539345070 0.4845961018 +25 60 1.09265265997825 0.9091477022 1.577420079 0.5065787187 +20 60 1.10449069269161 0.8320392579 1.612270363 0.5266995399 +15 60 1.11906305161815 0.7529581872 1.644052807 0.5450491421 +10 60 1.13637715691039 0.6715404344 1.672854147 0.5616776037 +5 60 1.15648927689007 0.5873737573 1.698686615 0.5765919862 +0 60 1.17950214972293 0.5000000000 1.721478825 0.5897510749 +-5 60 1.20556519985467 0.4089185147 1.741066141 0.6010598169 +-10 60 1.23487196222402 0.3135914018 1.757175694 0.6103606716 +-15 60 1.26765790178882 0.2134527457 1.769408912 0.6174235230 +-20 60 1.30419698920869 0.1079237215 1.777220722 0.6219336738 +-25 60 1.34479119298957 -0.003561879008 1.779891934 0.6234758990 +-30 60 1.38976156359623 -0.1215202657 1.776504678 0.6215202657 +-35 60 1.43942726259842 -0.2463608741 1.765913795 0.6154056162 +-40 60 1.49407730947359 -0.3783066185 1.746725068 0.6043269998 +-45 60 1.55393448349773 -0.5172889137 1.717288914 0.5873320281 + +45 65 1.06417321462955 1.214638003 1.414638003 0.3332411736 +40 65 1.06265777865581 1.143255126 1.466601607 0.3574722001 +35 65 1.06448674849409 1.070370429 1.514573392 0.3798418106 +30 65 1.06952175252611 0.9958547020 1.558845537 0.4004862511 +25 65 1.07766271504871 0.9195142882 1.599651294 0.4195142882 +20 65 1.08885024601470 0.8410990126 1.637161835 0.4370057405 +15 65 1.10306640874285 0.7603078668 1.671482185 0.4530095824 +10 65 1.12033534093481 0.6767936304 1.702646502 0.4675417422 +5 65 1.14072354366739 0.5901668571 1.730611892 0.4805822180 +0 65 1.16433738199150 0.5000000000 1.755248036 0.4920702405 +-5 65 1.19132271787821 0.4058336037 1.776326834 0.5018994456 +-10 65 1.22186095609246 0.3071852004 1.793507068 0.5099107199 +-15 65 1.25616463853356 0.2035631447 1.806317405 0.5158842784 +-20 65 1.29447252007006 0.09448666150 1.814138741 0.5195314271 +-25 65 1.33703541848973 -0.02048331456 1.816180070 0.5204833146 +-30 65 1.38410455331787 -0.1417024704 1.811461282 0.5182829076 +-35 65 1.43591125574949 -0.2693861106 1.798797240 0.5123775679 +-40 65 1.49263662498872 -0.4035328016 1.776788462 0.5021147062 +-45 65 1.55437952824443 -0.5438325893 1.743832589 0.4867471302 + +45 70 1.05641550887056 1.223423916 1.423423916 0.2633047722 +40 70 1.05364667667810 1.152387563 1.477485222 0.2829814783 +35 70 1.05432849361099 1.079528661 1.527652702 0.3012409478 +30 70 1.05836611083808 1.004704066 1.574173085 0.3181729827 +25 70 1.06569707068217 0.9277133051 1.617234143 0.3338459259 +20 70 1.07629304877661 0.8483051961 1.656960661 0.3483051961 +15 70 1.09016150005874 0.7661835180 1.693410413 0.3615718209 +10 70 1.10734565437341 0.6810116604 1.726568139 0.3736402460 +5 70 1.12792454996888 0.5924176481 1.756338552 0.3844757901 +0 70 1.15200993717220 0.5000000000 1.782535237 0.3940106038 +-5 70 1.17974533858407 0.4033363627 1.804870430 0.4021399491 +-10 70 1.21130063526815 0.3019953947 1.822939918 0.4087167051 +-15 70 1.24686568367104 0.1955541962 1.836207208 0.4135456036 +-20 70 1.28664430143251 0.08362186185 1.843989533 0.4163781382 +-25 70 1.33083779834543 -0.03412648772 1.845437949 0.4169053188 +-30 70 1.37963204817211 -0.1579064630 1.839527421 0.4147540622 +-35 70 1.43317891873950 -0.2877699072 1.825052023 0.4094854483 +-40 70 1.49156684647007 -0.4235350723 1.800626240 0.4005951905 +-45 70 1.55479315253853 -0.5647084802 1.764708480 0.3875221950 + +45 75 1.05064262549327 1.229930382 1.429930382 0.1955842564 +40 75 1.04689712650191 1.159189261 1.485591169 0.2104985194 +35 75 1.04667201112647 1.086387539 1.537448195 0.2243935676 +30 75 1.04990866533884 1.011366912 1.585713473 0.2373262099 +25 75 1.05657713274999 0.9339172709 1.630538590 0.2493370638 +20 75 1.06667721700805 0.8537828327 1.672010344 0.2604493868 +15 75 1.08024046504988 0.7706680833 1.710147039 0.2706680833 +10 75 1.09732850596351 0.6842424634 1.744890933 0.2799776817 +5 75 1.11803313929560 0.5941466747 1.776101416 0.2883405053 +0 75 1.14247222962055 0.5000000000 1.803543432 0.2956935715 +-5 75 1.17078805014990 0.4014109709 1.826877759 0.3019459855 +-10 75 1.20314061733277 0.2979915859 1.845646646 0.3069750936 +-15 75 1.23969933256128 0.1893774553 1.859259119 0.3106225447 +-20 75 1.28063630848309 0.07525375653 1.866980713 0.3126915396 +-25 75 1.32610966704886 -0.04460944665 1.867918727 0.3129428798 +-30 75 1.37624951807114 -0.1703139899 1.861017888 0.3110938054 +-35 75 1.43114074220567 -0.3017823053 1.845063801 0.3068189208 +-40 75 1.49079828568523 -0.4386960712 1.818694415 0.2997532651 +-45 75 1.55514123635003 -0.5804290719 1.780429072 0.2895000973 + +45 80 1.04665437271728 1.234409996 1.434409996 0.1294962972 +40 80 1.04221147738977 1.163891626 1.491195231 0.1395090662 +35 80 1.04133178124155 1.091148779 1.544247950 0.1488636920 +30 80 1.04398367636503 1.016010240 1.593755953 0.1575932887 +25 80 1.05016225405659 0.9382568968 1.639844948 0.1657200220 +20 80 1.05988942833555 0.8576275801 1.682573701 0.1732542540 +15 80 1.07321623412575 0.7738255605 1.721930904 0.1801939909 +10 80 1.09021951180799 0.6865233338 1.757826392 0.1865233338 +5 80 1.11100189797832 0.5953700503 1.790084663 0.1922113374 +0 80 1.13568678339101 0.5000000000 1.818433149 0.1972099403 +-5 80 1.16441600957630 0.4000448032 1.842493128 0.2014523637 +-10 80 1.19734186727170 0.2951493306 1.861765877 0.2048506694 +-15 80 1.23461709138198 0.1849938471 1.875618967 0.2072933429 +-20 80 1.27638914662441 0.06932114844 1.883280420 0.2086442637 +-25 80 1.32278260654031 -0.05202764910 1.883827114 0.2087406607 +-30 80 1.37388496836523 -0.1790706872 1.876184932 0.2073931378 +-35 80 1.42973096577692 -0.3116372991 1.859138191 0.2043873374 +-40 80 1.49028188459902 -0.4493137288 1.831348047 0.1994871852 +-45 80 1.55540217559977 -0.5913850222 1.791385022 0.1924406258 + +45 85 1.04431411094925 1.237032575 1.437032575 0.06448199500 +40 85 1.03945334966549 1.166652208 1.494485164 0.06950844518 +35 85 1.03817875546476 1.093951530 1.548250694 0.07421231955 +30 85 1.04047527020110 1.018750770 1.598502690 0.07860879950 +25 85 1.04635353924144 0.9408245166 1.645351227 0.08270751537 +20 85 1.05584964276574 0.8599076070 1.688838023 0.08651211710 +15 85 1.06902722816225 0.7757018914 1.728933467 0.09002001385 +10 85 1.08597313327571 0.6878811806 1.765527124 0.09322154403 +5 85 1.10679723100549 0.5960994337 1.798421553 0.09609943367 +0 85 1.13162675998169 0.5000000000 1.827320579 0.09862777078 +-5 85 1.16060361687211 0.3992287411 1.851820760 0.1007712589 +-10 85 1.19387471642647 0.2934510676 1.871397205 0.1024839759 +-15 85 1.23158244543739 0.1823751531 1.885392066 0.1037083676 +-20 85 1.27385853076245 0.06577967464 1.893010539 0.1043748976 +-25 85 1.32080631229002 -0.05645036050 1.893311649 0.1044012413 +-30 85 1.37248662440469 -0.1842819943 1.885211181 0.1036925422 +-35 85 1.42890327110942 -0.3174885875 1.867494697 0.1021425507 +-40 85 1.48998485762248 -0.4556000715 1.838839818 0.09963557367 +-45 85 1.55556348470482 -0.5978506844 1.797850684 0.09604948913 + +45 90 1.04354246539662 1.237895954 1.437895954 0.000000000 +40 90 1.03854249266278 1.167562246 1.495569705 0.000000000 +35 90 1.03713588358976 1.094876704 1.549571979 0.000000000 +30 90 1.03931315166281 1.019656576 1.600071592 0.000000000 +25 90 1.04509022944638 0.9416742161 1.647173413 0.000000000 +20 90 1.05450807867275 0.8606630042 1.690913460 0.000000000 +15 90 1.06763467389340 0.7763241868 1.731255905 0.000000000 +10 90 1.08456034000915 0.6883319266 1.768083431 0.000000000 +5 90 1.10539748937182 0.5963417392 1.801191118 0.000000000 +0 90 1.13027473559936 0.5000000000 1.830274736 0.000000000 +-5 90 1.15933404412001 0.3989573803 1.854922428 0.000000000 +-10 90 1.19272042490275 0.2928862717 1.874600322 0.000000000 +-15 90 1.23057274312900 0.1815043377 1.888641994 0.000000000 +-20 90 1.27301732242924 0.06460243293 1.896244984 0.000000000 +-25 90 1.32015023925224 -0.05791959935 1.896462442 0.000000000 +-30 90 1.37202326167385 -0.1860116308 1.888206999 0.000000000 +-35 90 1.42862975992175 -0.3194283666 1.870264988 0.000000000 +-40 90 1.48988733835768 -0.4576811209 1.841319916 0.000000000 +-45 90 1.55561741039469 -0.5999876198 1.799987620 0.000000000 + +45 95 1.04431411094925 1.237032575 1.437032575 -0.06448199500 +40 95 1.03945334966549 1.166652208 1.494485164 -0.06950844518 +35 95 1.03817875546476 1.093951530 1.548250694 -0.07421231955 +30 95 1.04047527020110 1.018750770 1.598502690 -0.07860879950 +25 95 1.04635353924144 0.9408245166 1.645351227 -0.08270751537 +20 95 1.05584964276574 0.8599076070 1.688838023 -0.08651211710 +15 95 1.06902722816225 0.7757018914 1.728933467 -0.09002001385 +10 95 1.08597313327571 0.6878811806 1.765527124 -0.09322154403 +5 95 1.10679723100549 0.5960994337 1.798421553 -0.09609943367 +0 95 1.13162675998169 0.5000000000 1.827320579 -0.09862777078 +-5 95 1.16060361687211 0.3992287411 1.851820760 -0.1007712589 +-10 95 1.19387471642647 0.2934510676 1.871397205 -0.1024839759 +-15 95 1.23158244543739 0.1823751531 1.885392066 -0.1037083676 +-20 95 1.27385853076245 0.06577967464 1.893010539 -0.1043748976 +-25 95 1.32080631229002 -0.05645036050 1.893311649 -0.1044012413 +-30 95 1.37248662440469 -0.1842819943 1.885211181 -0.1036925422 +-35 95 1.42890327110942 -0.3174885875 1.867494697 -0.1021425507 +-40 95 1.48998485762248 -0.4556000715 1.838839818 -0.09963557367 +-45 95 1.55556348470482 -0.5978506844 1.797850684 -0.09604948913 + +45 100 1.04665437271728 1.234409996 1.434409996 -0.1294962972 +40 100 1.04221147738977 1.163891626 1.491195231 -0.1395090662 +35 100 1.04133178124155 1.091148779 1.544247950 -0.1488636920 +30 100 1.04398367636504 1.016010240 1.593755953 -0.1575932887 +25 100 1.05016225405659 0.9382568968 1.639844948 -0.1657200220 +20 100 1.05988942833555 0.8576275801 1.682573701 -0.1732542540 +15 100 1.07321623412575 0.7738255605 1.721930904 -0.1801939909 +10 100 1.09021951180799 0.6865233338 1.757826392 -0.1865233338 +5 100 1.11100189797832 0.5953700503 1.790084663 -0.1922113374 +0 100 1.13568678339101 0.5000000000 1.818433149 -0.1972099403 +-5 100 1.16441600957630 0.4000448032 1.842493128 -0.2014523637 +-10 100 1.19734186727170 0.2951493306 1.861765877 -0.2048506694 +-15 100 1.23461709138198 0.1849938471 1.875618967 -0.2072933429 +-20 100 1.27638914662441 0.06932114844 1.883280420 -0.2086442637 +-25 100 1.32278260654032 -0.05202764910 1.883827114 -0.2087406607 +-30 100 1.37388496836523 -0.1790706872 1.876184932 -0.2073931378 +-35 100 1.42973096577693 -0.3116372991 1.859138191 -0.2043873374 +-40 100 1.49028188459902 -0.4493137288 1.831348047 -0.1994871852 +-45 100 1.55540217559978 -0.5913850222 1.791385022 -0.1924406258 + +45 105 1.05064262549327 1.229930382 1.429930382 -0.1955842564 +40 105 1.04689712650190 1.159189261 1.485591169 -0.2104985194 +35 105 1.04667201112647 1.086387539 1.537448195 -0.2243935676 +30 105 1.04990866533884 1.011366912 1.585713473 -0.2373262099 +25 105 1.05657713274999 0.9339172709 1.630538590 -0.2493370638 +20 105 1.06667721700805 0.8537828327 1.672010344 -0.2604493868 +15 105 1.08024046504988 0.7706680833 1.710147039 -0.2706680833 +10 105 1.09732850596351 0.6842424634 1.744890933 -0.2799776817 +5 105 1.11803313929561 0.5941466747 1.776101416 -0.2883405053 +0 105 1.14247222962055 0.5000000000 1.803543432 -0.2956935715 +-5 105 1.17078805014990 0.4014109709 1.826877759 -0.3019459855 +-10 105 1.20314061733277 0.2979915859 1.845646646 -0.3069750936 +-15 105 1.23969933256128 0.1893774553 1.859259119 -0.3106225447 +-20 105 1.28063630848310 0.07525375653 1.866980713 -0.3126915396 +-25 105 1.32610966704887 -0.04460944665 1.867918727 -0.3129428798 +-30 105 1.37624951807114 -0.1703139899 1.861017888 -0.3110938054 +-35 105 1.43114074220568 -0.3017823053 1.845063801 -0.3068189208 +-40 105 1.49079828568523 -0.4386960712 1.818694415 -0.2997532651 +-45 105 1.55514123635004 -0.5804290719 1.780429072 -0.2895000973 + +45 110 1.05641550887056 1.223423916 1.423423916 -0.2633047722 +40 110 1.05364667667810 1.152387563 1.477485222 -0.2829814783 +35 110 1.05432849361099 1.079528661 1.527652702 -0.3012409478 +30 110 1.05836611083808 1.004704066 1.574173085 -0.3181729827 +25 110 1.06569707068217 0.9277133051 1.617234143 -0.3338459259 +20 110 1.07629304877661 0.8483051961 1.656960661 -0.3483051961 +15 110 1.09016150005874 0.7661835180 1.693410413 -0.3615718209 +10 110 1.10734565437341 0.6810116604 1.726568139 -0.3736402460 +5 110 1.12792454996888 0.5924176481 1.756338552 -0.3844757901 +0 110 1.15200993717220 0.5000000000 1.782535237 -0.3940106038 +-5 110 1.17974533858408 0.4033363627 1.804870430 -0.4021399491 +-10 110 1.21130063526815 0.3019953947 1.822939918 -0.4087167051 +-15 110 1.24686568367104 0.1955541962 1.836207208 -0.4135456036 +-20 110 1.28664430143252 0.08362186185 1.843989533 -0.4163781382 +-25 110 1.33083779834543 -0.03412648772 1.845437949 -0.4169053188 +-30 110 1.37963204817211 -0.1579064630 1.839527421 -0.4147540622 +-35 110 1.43317891873950 -0.2877699072 1.825052023 -0.4094854483 +-40 110 1.49156684647007 -0.4235350723 1.800626240 -0.4005951905 +-45 110 1.55479315253853 -0.5647084802 1.764708480 -0.3875221950 + +45 115 1.06417321462955 1.214638003 1.414638003 -0.3332411736 +40 115 1.06265777865580 1.143255126 1.466601607 -0.3574722001 +35 115 1.06448674849409 1.070370429 1.514573392 -0.3798418106 +30 115 1.06952175252611 0.9958547020 1.558845537 -0.4004862511 +25 115 1.07766271504871 0.9195142882 1.599651294 -0.4195142882 +20 115 1.08885024601470 0.8410990126 1.637161835 -0.4370057405 +15 115 1.10306640874285 0.7603078668 1.671482185 -0.4530095824 +10 115 1.12033534093481 0.6767936304 1.702646502 -0.4675417422 +5 115 1.14072354366740 0.5901668571 1.730611892 -0.4805822180 +0 115 1.16433738199150 0.5000000000 1.755248036 -0.4920702405 +-5 115 1.19132271787821 0.4058336037 1.776326834 -0.5018994456 +-10 115 1.22186095609246 0.3071852004 1.793507068 -0.5099107199 +-15 115 1.25616463853356 0.2035631447 1.806317405 -0.5158842784 +-20 115 1.29447252007006 0.09448666150 1.814138741 -0.5195314271 +-25 115 1.33703541848974 -0.02048331456 1.816180070 -0.5204833146 +-30 115 1.38410455331787 -0.1417024704 1.811461282 -0.5182829076 +-35 115 1.43591125574949 -0.2693861106 1.798797240 -0.5123775679 +-40 115 1.49263662498872 -0.4035328016 1.776788462 -0.5021147062 +-45 115 1.55437952824444 -0.5438325893 1.743832589 -0.4867471302 + +45 120 1.07419065144028 1.203222853 1.403222853 -0.4060059035 +40 120 1.07419669530490 1.131476070 1.452563875 -0.4344929556 +35 120 1.07739168043365 1.058640938 1.497821942 -0.4606227131 +30 120 1.08358982534697 0.9845961018 1.539345070 -0.4845961018 +25 120 1.09265265997825 0.9091477022 1.577420079 -0.5065787187 +20 120 1.10449069269161 0.8320392579 1.612270363 -0.5266995399 +15 120 1.11906305161815 0.7529581872 1.644052807 -0.5450491421 +10 120 1.13637715691039 0.6715404344 1.672854147 -0.5616776037 +5 120 1.15648927689007 0.5873737573 1.698686615 -0.5765919862 +0 120 1.17950214972293 0.5000000000 1.721478825 -0.5897510749 +-5 120 1.20556519985467 0.4089185147 1.741066141 -0.6010598169 +-10 120 1.23487196222402 0.3135914018 1.757175694 -0.6103606716 +-15 120 1.26765790178882 0.2134527457 1.769408912 -0.6174235230 +-20 120 1.30419698920869 0.1079237215 1.777220722 -0.6219336738 +-25 120 1.34479119298957 -0.003561879008 1.779891934 -0.6234758990 +-30 120 1.38976156359624 -0.1215202657 1.776504678 -0.6215202657 +-35 120 1.43942726259843 -0.2463608741 1.765913795 -0.6154056162 +-40 120 1.49407730947359 -0.3783066185 1.746725068 -0.6043269998 +-45 120 1.55393448349773 -0.5172889137 1.717288914 -0.5873320281 + +45 125 1.08682805283895 1.188709106 1.388709106 -0.4822393079 +40 125 1.08860434020890 1.116634463 1.434876337 -0.5145659508 +35 125 1.09335121274883 1.043989037 1.476896859 -0.5439890371 +30 125 1.10083593811684 0.9706459552 1.515182707 -0.5707970762 +25 125 1.11088568290655 0.8963983861 1.550079082 -0.5952317815 +20 125 1.12338653046343 0.8209720929 1.581863578 -0.6174875246 +15 125 1.13828066928563 0.7440333338 1.610744801 -0.6377103748 +10 125 1.15556522572676 0.6651939458 1.636861422 -0.6559974297 +5 125 1.17529042956403 0.5840134981 1.660278678 -0.6723943689 +0 125 1.19755837446587 0.5000000000 1.680982391 -0.6868912647 +-5 125 1.22252328474150 0.4126101472 1.698870589 -0.6994167159 +-10 125 1.25039024423337 0.3212503339 1.713739732 -0.7098282019 +-15 125 1.28141558090615 0.2252803068 1.725267853 -0.7179002793 +-20 125 1.31590522078494 0.1240217936 1.732991632 -0.7233085277 +-25 125 1.35420934744892 0.01677620112 1.736276781 -0.7256088136 +-30 125 1.39671708636486 -0.09714551862 1.734286378 -0.7242151184 +-35 125 1.44383826805529 -0.2183713522 1.725940615 -0.7183713522 +-40 125 1.49597988422331 -0.3473902950 1.709880428 -0.7071258886 +-45 125 1.55350836016072 -0.4844384782 1.684438478 -0.6893112434 + +45 130 1.10254793832191 1.170481896 1.370481896 -0.5626011116 +40 130 1.10630750300852 1.098198392 1.412905083 -0.5981983924 +35 130 1.11274013198401 1.025974556 1.451169513 -0.6303060613 +30 130 1.12157463995049 0.9536564694 1.485756054 -0.6593276152 +25 130 1.13261486816102 0.8810053782 1.517068670 -0.6856020198 +20 130 1.14573346691998 0.8077135414 1.545436007 -0.7094050413 +15 130 1.16086567361367 0.7334140570 1.571113120 -0.7309506977 +10 130 1.17800626201215 0.6576863785 1.594283892 -0.7503932837 +5 130 1.19720579480657 0.5800573815 1.615060058 -0.7678265569 +0 130 1.21856928835324 0.5000000000 1.633478232 -0.7832812401 +-5 130 1.24225644710036 0.4169300727 1.649493613 -0.7967197409 +-10 130 1.26848212046052 0.3302026413 1.662968673 -0.8080266586 +-15 130 1.29751924258557 0.2391091516 1.673657901 -0.8169959860 +-20 130 1.32969924367383 0.1428781431 1.681184238 -0.8233113320 +-25 130 1.36541295469583 0.04068263294 1.685009272 -0.8265209172 +-30 130 1.40510936668375 -0.06834109087 1.684395645 -0.8260060230 +-35 130 1.44928483200242 -0.1850538804 1.678358334 -0.8209401171 +-40 130 1.49846663176105 -0.3102451875 1.665612613 -0.8102451875 +-45 130 1.55317818332676 -0.4445193419 1.644519342 -0.7925458314 + +45 135 1.12193007665221 1.147746632 1.347746632 -0.6477466318 +40 135 1.12782303761637 1.075498328 1.385852199 -0.6858521995 +35 135 1.13599936930495 1.004057241 1.419868344 -0.7198683439 +30 135 1.14616810610049 0.9332108242 1.450343158 -0.7503431579 +25 135 1.15812637349745 0.8626621932 1.477731583 -0.7777315831 +20 135 1.17174912795862 0.7920509351 1.502403349 -0.8024033494 +15 135 1.18697797892972 0.7209640079 1.524648904 -0.8246489040 +10 135 1.20381548437913 0.6489409034 1.544685837 -0.8446858374 +5 135 1.22231934842317 0.5754730682 1.562661117 -0.8626611170 +0 135 1.24260112099783 0.5000000000 1.578651679 -0.8786516790 +-5 135 1.26482657114695 0.4219022899 1.592660911 -0.8926609106 +-10 135 1.28921728681125 0.3404928415 1.604610048 -0.9046100483 +-15 135 1.31605591527584 0.2550072581 1.614325360 -0.9143253602 +-20 135 1.34568995868872 0.1645954314 1.621516479 -0.9215164785 +-25 135 1.37853871809337 0.06831664806 1.625747936 -0.9257479357 +-30 135 1.41509691568200 -0.03485635999 1.626398390 -0.9263983903 +-35 135 1.45593502507269 -0.1460167245 1.622607497 -0.9226074975 +-40 135 1.50169252026685 -0.2662740565 1.613209860 -0.9132098597 +-45 135 1.55305198733356 -0.3966549830 1.596654983 -0.8966549830 + + +### -x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = 180 - dsigma = 180 - dphi +# +# dpx dpy gridfn global_x global_y global_z +-135 45 1.55305148283855 -0.3966546917 1.596654692 -0.8966546917 +-135 40 1.60718598976814 -0.4773625908 1.520104590 -0.9773625908 +-135 35 1.66062407821502 -0.5523163456 1.436839838 -1.052316346 +-135 30 1.71324889501928 -0.6215846780 1.347547216 -1.121584678 +-135 25 1.76504231341286 -0.6853016942 1.252715257 -1.185301694 +-135 20 1.81605552210267 -0.7436186201 1.152640160 -1.243618620 +-135 15 1.86639000317415 -0.7966680914 1.047441168 -1.296668091 +-135 10 1.91617699921795 -0.8445312792 0.9370771409 -1.344531279 +-135 5 1.96556810827965 -0.8872145458 0.8213655466 -1.387214546 +-135 -2.84217e-14 2.01471678108639 -0.9246198981 0.7000000000 -1.424619898 +-135 -5 2.06377567873231 -0.9565252808 0.5725705498 -1.456525281 +-135 -10 2.11288280966161 -0.9825546012 0.4385856234 -1.482554601 +-135 -15 2.16214619681547 -1.002143699 0.2975018090 -1.502143699 +-135 -20 2.21163339176998 -1.014506816 0.1487645993 -1.514506816 +-135 -25 2.26134512791762 -1.018590343 -0.008130306320 -1.518590343 +-135 -30 2.31118458665216 -1.013025473 -0.1735456643 -1.513025473 +-135 -35 2.36091724460570 -0.9960832134 -0.3475687438 -1.496083213 +-135 -40 2.41011547060679 -0.9656403898 -0.5298183106 -1.465640390 +-135 -45 2.45808580243590 -0.9191764997 -0.7191764997 -1.419176500 + +-130 45 1.55317765559959 -0.4445190209 1.644519021 -0.7925455621 +-130 40 1.61068934816248 -0.5379289852 1.570925829 -0.8709258286 +-130 35 1.66821870517962 -0.6261524559 1.488540439 -0.9449541104 +-130 30 1.72551524536817 -0.7088665366 1.397939420 -1.014359465 +-130 25 1.78242483409674 -0.7858417542 1.299597857 -1.078949342 +-130 20 1.83886481310462 -0.8568971921 1.193870189 -1.138571933 +-130 15 1.89481057881398 -0.9218650724 1.080987598 -1.193086458 +-130 10 1.95027209950447 -0.9805497894 0.9610608742 -1.242328782 +-130 5 2.00528652715315 -1.032700237 0.8340938953 -1.286088203 +-130 -2.84217e-14 2.05989172329204 -1.077968608 0.7000000000 -1.324072877 +-130 -5 2.11412167014551 -1.115886179 0.5586282778 -1.355889497 +-130 -10 2.16798859473010 -1.145829348 0.4097958804 -1.381014799 +-130 -15 2.22146122514652 -1.166983582 0.2533330954 -1.398765309 +-130 -20 2.27444797482790 -1.178313734 0.08914375711 -1.408272435 +-130 -25 2.32677307074922 -1.178534718 -0.08271359367 -1.408457863 +-130 -30 2.37814321747168 -1.166086557 -0.2619155224 -1.398012616 +-130 -35 2.42810982371328 -1.139126712 -0.4477288798 -1.375390620 +-130 -40 2.47602681905457 -1.095552865 -0.6388278203 -1.338827820 +-130 -45 2.52100403170053 -1.033073986 -0.8330739862 -1.286401816 + +-125 45 1.55350801801277 -0.4844382614 1.684438261 -0.6893110915 +-125 40 1.61397369302996 -0.5895336640 1.614227296 -0.7628996846 +-125 35 1.67518507063531 -0.6903275036 1.533476291 -0.8334762909 +-125 30 1.73678677391747 -0.7861122119 1.442537232 -0.9005454658 +-125 25 1.79849802720037 -0.8762582200 1.341759748 -0.9636663801 +-125 20 1.86010007081019 -0.9601870847 1.231464635 -1.022434004 +-125 15 1.92142774702416 -1.037345206 1.111930407 -1.076460702 +-125 10 1.98234925629914 -1.107167212 0.9833869420 -1.125350597 +-125 5 2.04275725293061 -1.169048079 0.8460227858 -1.168680046 +-125 -2.84217e-14 2.10254738628134 -1.222305990 0.7000000000 -1.205971637 +-125 -5 2.16160623870412 -1.266154414 0.5454815107 -1.236674635 +-125 -10 2.21979320381311 -1.299672204 0.3826692340 -1.260144044 +-125 -15 2.27691912379015 -1.321775867 0.2118566276 -1.275621195 +-125 -20 2.33272591546647 -1.331200540 0.03349751049 -1.282220422 +-125 -25 2.38686486728677 -1.326492075 -0.1517072421 -1.278923519 +-125 -30 2.43887040205429 -1.306013873 -0.3427025955 -1.264584528 +-125 -35 2.48813250520734 -1.267979315 -0.5379524437 -1.237952444 +-125 -40 2.53387242994438 -1.210523117 -0.7352993168 -1.197721181 +-125 -45 2.57512413827921 -1.131823396 -0.9318233960 -1.142615043 + +-120 45 1.55393413442191 -0.5172886851 1.717288685 -0.5873318962 +-120 40 1.61693748333748 -0.6327988093 1.650531063 -0.6540216975 +-120 35 1.68139596533529 -0.7450946291 1.571824645 -0.7188557193 +-120 30 1.74687504923338 -0.8531235947 1.481226272 -0.7812262717 +-120 25 1.81298436465818 -0.9558596181 1.378878489 -0.8405409424 +-120 20 1.87937794316325 -1.052299907 1.264990961 -0.8962207691 +-120 15 1.94573946759784 -1.141445317 1.139823947 -0.9476888956 +-120 10 2.01178349867161 -1.222290797 1.003686336 -0.9943650555 +-120 5 2.07724029698953 -1.293801398 0.8569372869 -1.035651720 +-120 -2.84217e-14 2.14183782688282 -1.354885969 0.7000000000 -1.070918913 +-120 -5 2.20529554035153 -1.404383536 0.5333880296 -1.099496347 +-120 -10 2.26730315446905 -1.441041549 0.3577420043 -1.120660861 +-120 -15 2.32750567859046 -1.463507119 0.1738798531 -1.133631364 +-120 -20 2.38548380235195 -1.470325499 -0.01713983353 -1.137567957 +-120 -25 2.44073671015466 -1.459956238 -0.2139426034 -1.131581262 +-120 -30 2.49266574909369 -1.430810587 -0.4147540120 -1.114754012 +-120 -35 2.54056016432374 -1.381316407 -0.6173119296 -1.086178534 +-120 -40 2.58359212712763 -1.310020558 -0.8187875824 -1.045015856 +-120 -45 2.62081451917993 -1.215725845 -1.015725845 -0.9905747786 + +-115 45 1.55437930257222 -0.5438324378 1.743832438 -0.4867470596 +-115 40 1.61951454809049 -0.6683182301 1.680335396 -0.5447957379 +-115 35 1.68675808688664 -0.7907518646 1.603794186 -0.6018874793 +-115 30 1.75562753023195 -0.9098010306 1.513949005 -0.6574010170 +-115 25 1.82564415670203 -1.024079014 1.410689716 -0.7106897160 +-115 20 1.89634243317879 -1.132161779 1.294058305 -0.7610895367 +-115 15 1.96726272852702 -1.232588970 1.164245815 -0.8079195052 +-115 10 2.03795994172818 -1.323876595 1.021598653 -0.8504876236 +-115 5 2.10799366558624 -1.404513458 0.8666233371 -0.8880892105 +-115 -2.84217e-14 2.17691033264665 -1.472950786 0.7000000000 -0.9200020607 +-115 -5 2.24425261087790 -1.527619613 0.5226062699 -0.9454945534 +-115 -10 2.30953766579529 -1.566925658 0.3355452394 -0.9638232631 +-115 -15 2.37224725578789 -1.589263101 0.1401836392 -0.9742393841 +-115 -20 2.43181554560431 -1.593037796 -0.06180345679 -0.9759995529 +-115 -25 2.48761955056572 -1.576707412 -0.2683845702 -0.9683845702 +-115 -30 2.53897207047776 -1.538841030 -0.4771254173 -0.9507271859 +-115 -35 2.58512048994437 -1.478202517 -0.6851523144 -0.9224509830 +-115 -40 2.62525227062394 -1.393857693 -0.8891352920 -0.8831203459 +-115 -45 2.65850793799842 -1.285302221 -1.085302221 -0.8325000979 + +-110 45 1.55479304252527 -0.5647084049 1.764708405 -0.3875221675 +-110 40 1.62166038187630 -0.6966221785 1.704085229 -0.4355348546 +-110 35 1.69120730484914 -0.8276054890 1.629599371 -0.4832088809 +-110 30 1.76292704876823 -0.9561155745 1.540688719 -0.5299827268 +-110 25 1.83627424817859 -1.080461730 1.436981408 -0.5752410262 +-110 20 1.91067895199947 -1.198835271 1.318325472 -0.6183254717 +-110 15 1.98555161040772 -1.309335264 1.184809923 -0.6585441801 +-110 10 2.06029770210585 -1.410005218 1.036785453 -0.6951850465 +-110 5 2.13430306458300 -1.498845231 0.8748762979 -0.7275201671 +-110 -2.84217e-14 2.20694173001448 -1.573846858 0.7000000000 -0.7548185268 +-110 -5 2.27757919771115 -1.633028057 0.5133842261 -0.7763587215 +-110 -10 2.34556865569764 -1.674466518 0.3165828842 -0.7914410880 +-110 -15 2.41024298117192 -1.696335567 0.1114936586 -0.7994007708 +-110 -20 2.47091329227260 -1.696954464 -0.09962603109 -0.7996260311 +-110 -25 2.52686686014805 -1.674847452 -0.3141480221 -0.7915797365 +-110 -30 2.57736704523000 -1.628814291 -0.5290715041 -0.7748250363 +-110 -35 2.62166350194295 -1.558017870 -0.7410396265 -0.7490572463 +-110 -40 2.65900424028708 -1.462077561 -0.9463785577 -0.7141378295 +-110 -45 2.68864882330793 -1.341162728 -1.141162728 -0.6701284295 + +-105 45 1.55514116514598 -0.5804290224 1.780429022 -0.2895000840 +-105 40 1.62334699221702 -0.7181589096 1.722156692 -0.3264046961 +-105 35 1.69470197435702 -0.8559406335 1.649439853 -0.3633231977 +-105 30 1.76868639477571 -0.9920815701 1.561453696 -0.3998020518 +-105 25 1.84470830334478 -1.124653999 1.457588602 -0.4353247271 +-105 20 1.92211847369970 -1.251531775 1.337505431 -0.4693215247 +-105 15 2.00021605355480 -1.370428288 1.201179749 -0.5011797492 +-105 10 2.07827175485558 -1.478958262 1.048943735 -0.5302602683 +-105 5 2.15552153438413 -1.574678910 0.8815108851 -0.5559085385 +-105 -2.84217e-14 2.23117884031582 -1.655153265 0.7000000000 -0.5774715769 +-105 -5 2.30445572862198 -1.718027342 0.5059477522 -0.5943186351 +-105 -10 2.37455925165595 -1.761087194 0.3013093220 -0.6058564877 +-105 -15 2.44069662274631 -1.782327450 0.08845220296 -0.6115477970 +-105 -20 2.50208221870676 -1.780024135 -0.1298609185 -0.6109306257 +-105 -25 2.55794247732826 -1.752806836 -0.3505010798 -0.6036377723 +-105 -30 2.60752516951018 -1.699734368 -0.5700172296 -0.5894170475 +-105 -35 2.65010972923557 -1.620367781 -0.7846975041 -0.5681508346 +-105 -40 2.68502012236839 -1.514837986 -0.9906498110 -0.5398742112 +-105 -45 2.71164021992122 -1.383902798 -1.183902798 -0.5047902333 + +-100 45 1.55540214444150 -0.5913850003 1.791385000 -0.1924406219 +-100 40 1.62456001257486 -0.7332853375 1.734849272 -0.2174614799 +-100 35 1.69721450253600 -0.8759974394 1.663483780 -0.2426254740 +-100 30 1.77284170120539 -1.017732375 1.576263195 -0.2676171672 +-100 25 1.85082049696058 -1.156395750 1.472390023 -0.2920672614 +-100 20 1.93044501556201 -1.289624892 1.351370191 -0.3155591537 +-100 15 2.01093294993898 -1.414837348 1.213079121 -0.3376374882 +-100 10 2.09144523253800 -1.529303219 1.057820910 -0.3578209095 +-100 5 2.17109908542639 -1.630223017 0.8863703648 -0.3756157928 +-100 -2.84217e-14 2.24898413534548 -1.714817013 0.7000000000 -0.3905319967 +-100 -5 2.32418826328082 -1.780429929 0.5004882332 -0.4021013242 +-100 -10 2.39580359123339 -1.824618338 0.2901070672 -0.4098929328 +-100 -15 2.46294362101581 -1.845247977 0.07159269851 -0.4135304948 +-100 -20 2.52475533773478 -1.840582074 -0.1519022057 -0.4127077702 +-100 -25 2.58042949227181 -1.809360875 -0.3768726616 -0.4072026305 +-100 -30 2.62921430742511 -1.750874216 -0.5995428348 -0.3968898545 +-100 -35 2.67042713188173 -1.665018558 -0.8159623150 -0.3817511856 +-100 -40 2.70346429168448 -1.552335922 -1.022114315 -0.3618821965 +-100 -45 2.72781423162031 -1.414035895 -1.214035895 -0.3374961704 + +-95 45 1.55556347065417 -0.5978506745 1.797850675 -0.09604948826 +-95 40 1.62529013504695 -0.7422576730 1.742377955 -0.1086834636 +-95 35 1.69872691833481 -0.8879558599 1.671857156 -0.1214304032 +-95 30 1.77534991408166 -1.033103879 1.585137937 -0.1341292094 +-95 25 1.85452228588656 -1.175509139 1.481302743 -0.1465880553 +-95 20 1.93550376884503 -1.312663132 1.359755425 -0.1585874749 +-95 15 2.01746082622121 -1.441796155 1.220302712 -0.1698851505 +-95 10 2.09948668673733 -1.559958891 1.063226332 -0.1802230503 +-95 5 2.18061941224867 -1.664117595 0.8893357561 -0.1893357561 +-95 -2.84217e-14 2.25987056601257 -1.751271076 0.7000000000 -0.1969606977 +-95 -5 2.33624699168585 -1.818567464 0.4971516313 -0.2028483687 +-95 -10 2.40876839054434 -1.863417636 0.2832657041 -0.2067722503 +-95 -15 2.47649108716809 -1.883610531 0.06131348305 -0.2085388998 +-95 -20 2.53852243790139 -1.877410010 -0.1653064782 -0.2079964244 +-95 -25 2.59403497969724 -1.843638223 -0.3928564515 -0.2050417760 +-95 -30 2.64228280485481 -1.781744002 -0.6173655138 -0.1996267333 +-95 -35 2.68261229682817 -1.691845798 -0.8347469501 -0.1917616595 +-95 -40 2.71447146808631 -1.574751416 -1.040923148 -0.1815172286 +-95 -45 2.73741737371643 -1.431952998 -1.231952998 -0.1690239858 + +-90 45 1.55561740090726 -0.5999876131 1.799987613 -3.537829990e-16 +-90 40 1.62553318511284 -0.7452306636 1.744872591 -4.004967268e-16 +-90 35 1.69923117422923 -0.8919286901 1.674638961 -4.476784107e-16 +-90 30 1.77618793675918 -1.038223875 1.588093968 -4.947305308e-16 +-90 25 1.85576168381266 -1.181891265 1.484278777 -5.409374875e-16 +-90 20 1.93720051341809 -1.320373027 1.362561597 -5.854766193e-16 +-90 15 2.01965304270338 -1.450835034 1.222724672 -6.274364008e-16 +-90 10 2.10218999569199 -1.570253006 1.065041462 -6.658441499e-16 +-90 5 2.18382175309068 -1.675511652 0.8903326069 -6.996979124e-16 +-90 -2.84217e-14 2.26353311871726 -1.763533119 0.7000000000 -7.280077753e-16 +-90 -5 2.34030270435791 -1.831397146 0.4960291795 -7.498345112e-16 +-90 -10 2.41312570531294 -1.876464904 0.2809651188 -7.643294075e-16 +-90 -15 2.48103933551600 -1.896499970 0.05785976832 -7.707731764e-16 +-90 -20 2.54313769372211 -1.889767724 -0.1698043185 -7.686079210e-16 +-90 -25 2.59858788410011 -1.855120435 -0.3982106946 -7.574645027e-16 +-90 -30 2.64664691323555 -1.792063462 -0.6233234566 -7.371838335e-16 +-90 -35 2.68667208674766 -1.700792932 -0.8410118012 -7.078289923e-16 +-90 -40 2.71812989292494 -1.582208300 -1.047180217 -6.696892658e-16 +-90 -45 2.74060113882684 -1.437897650 -1.237897650 -6.232754207e-16 + +-85 45 1.55556347065417 -0.5978506745 1.797850675 0.09604948826 +-85 40 1.62529013504695 -0.7422576730 1.742377955 0.1086834636 +-85 35 1.69872691833481 -0.8879558599 1.671857156 0.1214304032 +-85 30 1.77534991408166 -1.033103879 1.585137937 0.1341292094 +-85 25 1.85452228588656 -1.175509139 1.481302743 0.1465880553 +-85 20 1.93550376884503 -1.312663132 1.359755425 0.1585874749 +-85 15 2.01746082622121 -1.441796155 1.220302712 0.1698851505 +-85 10 2.09948668673732 -1.559958891 1.063226332 0.1802230503 +-85 5 2.18061941224867 -1.664117595 0.8893357561 0.1893357561 +-85 -2.84217e-14 2.25987056601257 -1.751271076 0.7000000000 0.1969606977 +-85 -5 2.33624699168585 -1.818567464 0.4971516313 0.2028483687 +-85 -10 2.40876839054434 -1.863417636 0.2832657041 0.2067722503 +-85 -15 2.47649108716809 -1.883610531 0.06131348305 0.2085388998 +-85 -20 2.53852243790139 -1.877410010 -0.1653064782 0.2079964244 +-85 -25 2.59403497969724 -1.843638223 -0.3928564515 0.2050417760 +-85 -30 2.64228280485481 -1.781744002 -0.6173655138 0.1996267333 +-85 -35 2.68261229682817 -1.691845798 -0.8347469501 0.1917616595 +-85 -40 2.71447146808631 -1.574751416 -1.040923148 0.1815172286 +-85 -45 2.73741737371643 -1.431952998 -1.231952998 0.1690239858 + +-80 45 1.55540214444150 -0.5913850003 1.791385000 0.1924406219 +-80 40 1.62456001257486 -0.7332853375 1.734849272 0.2174614799 +-80 35 1.69721450253600 -0.8759974394 1.663483780 0.2426254740 +-80 30 1.77284170120539 -1.017732375 1.576263195 0.2676171672 +-80 25 1.85082049696058 -1.156395750 1.472390023 0.2920672614 +-80 20 1.93044501556201 -1.289624892 1.351370191 0.3155591537 +-80 15 2.01093294993898 -1.414837348 1.213079121 0.3376374882 +-80 10 2.09144523253800 -1.529303219 1.057820910 0.3578209095 +-80 5 2.17109908542639 -1.630223017 0.8863703648 0.3756157928 +-80 -2.84217e-14 2.24898413534548 -1.714817013 0.7000000000 0.3905319967 +-80 -5 2.32418826328082 -1.780429929 0.5004882332 0.4021013242 +-80 -10 2.39580359123339 -1.824618338 0.2901070672 0.4098929328 +-80 -15 2.46294362101581 -1.845247977 0.07159269851 0.4135304948 +-80 -20 2.52475533773478 -1.840582074 -0.1519022057 0.4127077702 +-80 -25 2.58042949227181 -1.809360875 -0.3768726616 0.4072026305 +-80 -30 2.62921430742511 -1.750874216 -0.5995428348 0.3968898545 +-80 -35 2.67042713188173 -1.665018558 -0.8159623150 0.3817511856 +-80 -40 2.70346429168448 -1.552335922 -1.022114315 0.3618821965 +-80 -45 2.72781423162031 -1.414035895 -1.214035895 0.3374961704 + +-75 45 1.55514116514598 -0.5804290224 1.780429022 0.2895000840 +-75 40 1.62334699221702 -0.7181589096 1.722156692 0.3264046961 +-75 35 1.69470197435702 -0.8559406335 1.649439853 0.3633231977 +-75 30 1.76868639477571 -0.9920815701 1.561453696 0.3998020518 +-75 25 1.84470830334478 -1.124653999 1.457588602 0.4353247271 +-75 20 1.92211847369969 -1.251531775 1.337505431 0.4693215247 +-75 15 2.00021605355480 -1.370428288 1.201179749 0.5011797492 +-75 10 2.07827175485558 -1.478958262 1.048943735 0.5302602683 +-75 5 2.15552153438413 -1.574678910 0.8815108851 0.5559085385 +-75 -2.84217e-14 2.23117884031582 -1.655153265 0.7000000000 0.5774715769 +-75 -5 2.30445572862198 -1.718027342 0.5059477522 0.5943186351 +-75 -10 2.37455925165595 -1.761087194 0.3013093220 0.6058564877 +-75 -15 2.44069662274631 -1.782327450 0.08845220296 0.6115477970 +-75 -20 2.50208221870676 -1.780024135 -0.1298609185 0.6109306257 +-75 -25 2.55794247732826 -1.752806836 -0.3505010798 0.6036377723 +-75 -30 2.60752516951018 -1.699734368 -0.5700172296 0.5894170475 +-75 -35 2.65010972923557 -1.620367781 -0.7846975041 0.5681508346 +-75 -40 2.68502012236839 -1.514837986 -0.9906498110 0.5398742112 +-75 -45 2.71164021992122 -1.383902798 -1.183902798 0.5047902333 + +-70 45 1.55479304252527 -0.5647084049 1.764708405 0.3875221675 +-70 40 1.62166038187629 -0.6966221785 1.704085229 0.4355348546 +-70 35 1.69120730484913 -0.8276054890 1.629599371 0.4832088809 +-70 30 1.76292704876823 -0.9561155745 1.540688719 0.5299827268 +-70 25 1.83627424817859 -1.080461730 1.436981408 0.5752410262 +-70 20 1.91067895199947 -1.198835271 1.318325472 0.6183254717 +-70 15 1.98555161040772 -1.309335264 1.184809923 0.6585441801 +-70 10 2.06029770210584 -1.410005218 1.036785453 0.6951850465 +-70 5 2.13430306458300 -1.498845231 0.8748762979 0.7275201671 +-70 -2.84217e-14 2.20694173001447 -1.573846858 0.7000000000 0.7548185268 +-70 -5 2.27757919771115 -1.633028057 0.5133842261 0.7763587215 +-70 -10 2.34556865569764 -1.674466518 0.3165828842 0.7914410880 +-70 -15 2.41024298117192 -1.696335567 0.1114936586 0.7994007708 +-70 -20 2.47091329227260 -1.696954464 -0.09962603109 0.7996260311 +-70 -25 2.52686686014805 -1.674847452 -0.3141480221 0.7915797365 +-70 -30 2.57736704523000 -1.628814291 -0.5290715041 0.7748250363 +-70 -35 2.62166350194295 -1.558017870 -0.7410396265 0.7490572463 +-70 -40 2.65900424028708 -1.462077561 -0.9463785577 0.7141378295 +-70 -45 2.68864882330792 -1.341162728 -1.141162728 0.6701284295 + +-65 45 1.55437930257221 -0.5438324378 1.743832438 0.4867470596 +-65 40 1.61951454809049 -0.6683182301 1.680335396 0.5447957379 +-65 35 1.68675808688664 -0.7907518646 1.603794186 0.6018874793 +-65 30 1.75562753023195 -0.9098010306 1.513949005 0.6574010170 +-65 25 1.82564415670203 -1.024079014 1.410689716 0.7106897160 +-65 20 1.89634243317879 -1.132161779 1.294058305 0.7610895367 +-65 15 1.96726272852702 -1.232588970 1.164245815 0.8079195052 +-65 10 2.03795994172818 -1.323876595 1.021598653 0.8504876236 +-65 5 2.10799366558624 -1.404513458 0.8666233371 0.8880892105 +-65 -2.84217e-14 2.17691033264664 -1.472950786 0.7000000000 0.9200020607 +-65 -5 2.24425261087790 -1.527619613 0.5226062699 0.9454945534 +-65 -10 2.30953766579529 -1.566925658 0.3355452394 0.9638232631 +-65 -15 2.37224725578789 -1.589263101 0.1401836392 0.9742393841 +-65 -20 2.43181554560431 -1.593037796 -0.06180345679 0.9759995529 +-65 -25 2.48761955056572 -1.576707412 -0.2683845702 0.9683845702 +-65 -30 2.53897207047776 -1.538841030 -0.4771254173 0.9507271859 +-65 -35 2.58512048994437 -1.478202517 -0.6851523144 0.9224509830 +-65 -40 2.62525227062393 -1.393857693 -0.8891352920 0.8831203459 +-65 -45 2.65850793799842 -1.285302221 -1.085302221 0.8325000979 + +-60 45 1.55393413442191 -0.5172886851 1.717288685 0.5873318962 +-60 40 1.61693748333748 -0.6327988093 1.650531063 0.6540216975 +-60 35 1.68139596533528 -0.7450946291 1.571824645 0.7188557193 +-60 30 1.74687504923338 -0.8531235947 1.481226272 0.7812262717 +-60 25 1.81298436465818 -0.9558596181 1.378878489 0.8405409424 +-60 20 1.87937794316325 -1.052299907 1.264990961 0.8962207691 +-60 15 1.94573946759783 -1.141445317 1.139823947 0.9476888956 +-60 10 2.01178349867160 -1.222290797 1.003686336 0.9943650555 +-60 5 2.07724029698952 -1.293801398 0.8569372869 1.035651720 +-60 -2.84217e-14 2.14183782688282 -1.354885969 0.7000000000 1.070918913 +-60 -5 2.20529554035152 -1.404383536 0.5333880296 1.099496347 +-60 -10 2.26730315446905 -1.441041549 0.3577420043 1.120660861 +-60 -15 2.32750567859045 -1.463507119 0.1738798531 1.133631364 +-60 -20 2.38548380235194 -1.470325499 -0.01713983353 1.137567957 +-60 -25 2.44073671015466 -1.459956238 -0.2139426034 1.131581262 +-60 -30 2.49266574909369 -1.430810587 -0.4147540120 1.114754012 +-60 -35 2.54056016432374 -1.381316407 -0.6173119296 1.086178534 +-60 -40 2.58359212712762 -1.310020558 -0.8187875824 1.045015856 +-60 -45 2.62081451917992 -1.215725845 -1.015725845 0.9905747786 + +-55 45 1.55350801801276 -0.4844382614 1.684438261 0.6893110915 +-55 40 1.61397369302995 -0.5895336640 1.614227296 0.7628996846 +-55 35 1.67518507063531 -0.6903275036 1.533476291 0.8334762909 +-55 30 1.73678677391746 -0.7861122119 1.442537232 0.9005454658 +-55 25 1.79849802720037 -0.8762582200 1.341759748 0.9636663801 +-55 20 1.86010007081019 -0.9601870847 1.231464635 1.022434004 +-55 15 1.92142774702415 -1.037345206 1.111930407 1.076460702 +-55 10 1.98234925629914 -1.107167212 0.9833869420 1.125350597 +-55 5 2.04275725293060 -1.169048079 0.8460227858 1.168680046 +-55 -2.84217e-14 2.10254738628133 -1.222305990 0.7000000000 1.205971637 +-55 -5 2.16160623870412 -1.266154414 0.5454815107 1.236674635 +-55 -10 2.21979320381311 -1.299672204 0.3826692340 1.260144044 +-55 -15 2.27691912379015 -1.321775867 0.2118566276 1.275621195 +-55 -20 2.33272591546647 -1.331200540 0.03349751049 1.282220422 +-55 -25 2.38686486728677 -1.326492075 -0.1517072421 1.278923519 +-55 -30 2.43887040205429 -1.306013873 -0.3427025955 1.264584528 +-55 -35 2.48813250520734 -1.267979315 -0.5379524437 1.237952444 +-55 -40 2.53387242994437 -1.210523117 -0.7352993168 1.197721181 +-55 -45 2.57512413827921 -1.131823396 -0.9318233960 1.142615043 + +-50 45 1.55317765559958 -0.4445190209 1.644519021 0.7925455621 +-50 40 1.61068934816247 -0.5379289852 1.570925829 0.8709258286 +-50 35 1.66821870517962 -0.6261524559 1.488540439 0.9449541104 +-50 30 1.72551524536816 -0.7088665366 1.397939420 1.014359465 +-50 25 1.78242483409673 -0.7858417542 1.299597857 1.078949342 +-50 20 1.83886481310462 -0.8568971921 1.193870189 1.138571933 +-50 15 1.89481057881397 -0.9218650724 1.080987598 1.193086458 +-50 10 1.95027209950447 -0.9805497894 0.9610608742 1.242328782 +-50 5 2.00528652715315 -1.032700237 0.8340938953 1.286088203 +-50 -2.84217e-14 2.05989172329203 -1.077968608 0.7000000000 1.324072877 +-50 -5 2.11412167014550 -1.115886179 0.5586282778 1.355889497 +-50 -10 2.16798859473010 -1.145829348 0.4097958804 1.381014799 +-50 -15 2.22146122514651 -1.166983582 0.2533330954 1.398765309 +-50 -20 2.27444797482790 -1.178313734 0.08914375711 1.408272435 +-50 -25 2.32677307074921 -1.178534718 -0.08271359367 1.408457863 +-50 -30 2.37814321747167 -1.166086557 -0.2619155224 1.398012616 +-50 -35 2.42810982371328 -1.139126712 -0.4477288798 1.375390620 +-50 -40 2.47602681905457 -1.095552865 -0.6388278203 1.338827820 +-50 -45 2.52100403170053 -1.033073986 -0.8330739862 1.286401816 + +-45 45 1.55305148283855 -0.3966546917 1.596654692 0.8966546917 +-45 40 1.60718598976813 -0.4773625908 1.520104590 0.9773625908 +-45 35 1.66062407821501 -0.5523163456 1.436839838 1.052316346 +-45 30 1.71324889501927 -0.6215846780 1.347547216 1.121584678 +-45 25 1.76504231341285 -0.6853016942 1.252715257 1.185301694 +-45 20 1.81605552210266 -0.7436186201 1.152640160 1.243618620 +-45 15 1.86639000317415 -0.7966680914 1.047441168 1.296668091 +-45 10 1.91617699921794 -0.8445312792 0.9370771409 1.344531279 +-45 5 1.96556810827965 -0.8872145458 0.8213655466 1.387214546 +-45 -2.84217e-14 2.01471678108639 -0.9246198981 0.7000000000 1.424619898 +-45 -5 2.06377567873230 -0.9565252808 0.5725705498 1.456525281 +-45 -10 2.11288280966161 -0.9825546012 0.4385856234 1.482554601 +-45 -15 2.16214619681546 -1.002143699 0.2975018090 1.502143699 +-45 -20 2.21163339176997 -1.014506816 0.1487645993 1.514506816 +-45 -25 2.26134512791761 -1.018590343 -0.008130306320 1.518590343 +-45 -30 2.31118458665216 -1.013025473 -0.1735456643 1.513025473 +-45 -35 2.36091724460570 -0.9960832134 -0.3475687438 1.496083213 +-45 -40 2.41011547060679 -0.9656403898 -0.5298183106 1.465640390 +-45 -45 2.45808580243590 -0.9191764997 -0.7191764997 1.419176500 + + +### -y patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = 90 + dsigma = 90 + dphi +# dpy = drho = dmu +# +# dpx dpy gridfn global_x global_y global_z +-45 -135 2.45808595027106 -0.9191765851 -0.7191765851 -1.419176585 +-40 -135 2.43572336060511 -0.7428853409 -0.7812130702 -1.481213070 +-35 -135 2.41002674667905 -0.5693592490 -0.8272032799 -1.527203280 +-30 -135 2.38180134647042 -0.4002362907 -0.8592549944 -1.559254994 +-25 -135 2.35161950538586 -0.2363993316 -0.8792134629 -1.579213463 +-20 -135 2.31986750628078 -0.07821205772 -0.8886245722 -1.588624572 +-15 -135 2.28678579728130 0.07429930137 -0.8887366361 -1.588736636 +-10 -135 2.25250305827829 0.2213112436 -0.8805224776 -1.580522478 +-5 -135 2.21706174639543 0.3631057811 -0.8647080814 -1.564708081 +-2.84217e-14 -135 2.18043718797693 0.5000000000 -0.8418019216 -1.541801922 +5 -135 2.14255294358353 0.6322936143 -0.8121229308 -1.512122931 +10 -135 2.10329139416494 0.7602276880 -0.7758245558 -1.475824556 +15 -135 2.06250149072218 0.8839486525 -0.7329158788 -1.432915879 +20 -135 2.02000922948555 1.003474311 -0.6832842994 -1.383284299 +25 -135 1.97562555460706 1.118658475 -0.6267173819 -1.326717382 +30 -135 1.92915936456942 1.229153703 -0.5629312594 -1.262931259 +35 -135 1.88043502112884 1.334372724 -0.4916077429 -1.191607743 +40 -135 1.82931535058126 1.433451339 -0.4124439871 -1.112443987 +45 -135 1.77573236569968 1.525219559 -0.3252195593 -1.025219559 + +-45 -130 2.52100357192756 -1.033073707 -0.8330737066 -1.286401582 +-40 -130 2.50378521654746 -0.8538372356 -0.9134403893 -1.353837236 +-35 -130 2.48170394203931 -0.6730619668 -0.9753061097 -1.405748739 +-30 -130 2.45564368694286 -0.4932630476 -1.020382064 -1.443571955 +-25 -130 2.42629510738168 -0.3161922564 -1.050329942 -1.468701209 +-20 -130 2.39418012003223 -0.1430131131 -1.066664009 -1.482407118 +-15 -130 2.35967656024744 0.02554228136 -1.070700312 -1.485793979 +-10 -130 2.32304258828863 0.1890405554 -1.063538645 -1.479784626 +-5 -130 2.28443844119080 0.3472391626 -1.046064362 -1.465121962 +-2.84217e-14 -130 2.24394712482903 0.5000000000 -1.018963226 -1.442381409 +5 -130 2.20159139735144 0.6472208397 -0.9827418977 -1.411988106 +10 -130 2.15734796433958 0.7887797788 -0.9377515092 -1.374236687 +15 -130 2.11115877260027 0.9244885048 -0.8842126672 -1.329312265 +20 -130 2.06294388100693 1.054051868 -0.8222449957 -1.277315214 +25 -130 2.01262162821370 1.177034786 -0.7519057833 -1.218293607 +30 -130 1.96012552848045 1.292834997 -0.6732304975 -1.152277204 +35 -130 1.90541917381148 1.400661326 -0.5862776778 -1.079315125 +40 -130 1.84852955512025 1.499529882 -0.4911933281 -0.9995298823 +45 -130 1.78957624784364 1.588277828 -0.3882778280 -0.9131735241 + +-45 -125 2.57512441894075 -1.131823574 -0.9318235738 -1.142615167 +-40 -125 2.56352346242251 -0.9520949953 -1.030539427 -1.211736752 +-35 -125 2.54573495932212 -0.7666121307 -1.108909590 -1.266612131 +-30 -125 2.52261248515498 -0.5785052717 -1.168025927 -1.308005836 +-25 -125 2.49487974793852 -0.3902502939 -1.209147916 -1.336799762 +-20 -125 2.46312988701123 -0.2037612909 -1.233568256 -1.353899068 +-15 -125 2.42783649017682 -0.02049819409 -1.242525706 -1.360171142 +-10 -125 2.38936624411082 0.1584279026 -1.237151626 -1.356408171 +-5 -125 2.34799408402085 0.3321579147 -1.218443814 -1.343308820 +-2.84217e-14 -125 2.30391846727258 0.5000000000 -1.187259522 -1.321473344 +5 -125 2.25727797736756 0.6613574095 -1.144323630 -1.291409308 +10 -125 2.20816622160261 0.8156686296 -1.090245760 -1.253543576 +15 -125 2.15664666612872 0.9623584412 -1.025545194 -1.208239752 +20 -125 2.10277301971165 1.100800738 -0.9506864624 -1.155823104 +25 -125 2.04660481245481 1.230291926 -0.8661160889 -1.096606291 +30 -125 1.98822413750576 1.350035519 -0.7723047076 -1.030918855 +35 -125 1.92776920390835 1.459147711 -0.6698048915 -0.9591477109 +40 -125 1.86544202032741 1.556670267 -0.5592905870 -0.8817647618 +45 -125 1.80154783365488 1.641617936 -0.4416179361 -0.7993694846 + +-45 -120 2.62081434676336 -1.215725732 -1.015725732 -0.9905747134 +-40 -120 2.61486597941993 -1.037172194 -1.131930485 -1.057665559 +-35 -120 2.60166502482052 -0.8489955570 -1.226565316 -1.112303004 +-30 -120 2.58193913883233 -0.6546782856 -1.299961457 -1.154678286 +-25 -120 2.55636867402582 -0.4572414064 -1.352810821 -1.185190880 +-20 -120 2.52555416787130 -0.2592487083 -1.386018682 -1.204363447 +-15 -120 2.49001611163998 -0.06285475665 -1.400602549 -1.212783447 +-10 -120 2.45019843155538 0.1301332697 -1.397618463 -1.211060584 +-5 -120 2.40647522273933 0.3181887319 -1.378112303 -1.199798698 +-2.84217e-14 -120 2.35916000387777 0.5000000000 -1.343092495 -1.179580002 +5 -120 2.30851588038181 0.6744103557 -1.293519488 -1.150959013 +10 -120 2.25477165762059 0.8403663188 -1.230313316 -1.114466913 +15 -120 2.19813865140576 0.9968774258 -1.154371798 -1.070622057 +20 -120 2.13883000540270 1.142989146 -1.066598161 -1.019945924 +25 -120 2.07707253097809 1.277767249 -0.9679272478 -0.9629782455 +30 -120 2.01312860243202 1.400298480 -0.8593627102 -0.9002984805 +35 -120 1.94731138372304 1.509705085 -0.7420083044 -0.8325438827 +40 -120 1.88001146717422 1.605181441 -0.6171039533 -0.7604303220 +45 -120 1.81169462543343 1.686032537 -0.4860325367 -0.6847562044 + +-45 -115 2.65850808293459 -1.285302319 -1.085302319 -0.8325001433 +-40 -115 2.65789013827573 -1.108891865 -1.217402660 -0.8940995441 +-35 -115 2.64920289545915 -0.9194887767 -1.327240067 -0.9453175682 +-30 -115 2.63301017742905 -0.7207236306 -1.414355350 -0.9859400919 +-25 -115 2.60988344232972 -0.5159796561 -1.478775404 -1.015979656 +-20 -115 2.58037769053162 -0.3083428235 -1.520903655 -1.035624382 +-15 -115 2.54501519954345 -0.1005871200 -1.541421646 -1.045192079 +-10 -115 2.50428139885852 0.1048138590 -1.541211977 -1.045094308 +-5 -115 2.45862741273851 0.3056613210 -1.521301265 -1.035809791 +-2.84217e-14 -115 2.40847183194404 0.5000000000 -1.482816776 -1.017864179 +5 -115 2.35420464416815 0.6860847309 -1.426958207 -0.9918169006 +10 -115 2.29620238359278 0.8623503969 -1.354991219 -0.9582581426 +15 -115 2.23483701216507 1.027389512 -1.268244455 -0.9178074625 +20 -115 2.17049469445691 1.179940699 -1.168121716 -0.8711194627 +25 -115 2.10359103363133 1.318889327 -1.056113828 -0.8188893267 +30 -115 2.03457333370261 1.443274647 -0.9337996148 -0.7618532723 +35 -115 1.96393721057998 1.552311559 -0.8028566552 -0.7007935674 +40 -115 1.89223999573165 1.645423391 -0.6650624413 -0.6365390703 +45 -115 1.82009133498287 1.722269476 -0.5222694757 -0.5699536168 + +-45 -110 2.68864897066696 -1.341162829 -1.141162829 -0.6701284662 +-40 -110 2.69274081579475 -1.167267270 -1.286971759 -0.7231985765 +-35 -110 2.68818357715225 -0.9776034587 -1.410236434 -0.7680632493 +-30 -110 2.67534975758297 -0.7757966145 -1.509744556 -0.8042812439 +-25 -110 2.65467647627507 -0.5654439061 -1.584851830 -0.8316180559 +-20 -110 2.62663669972026 -0.3500205515 -1.635412271 -0.8500205515 +-15 -110 2.59171944173265 -0.1328172465 -1.661706116 -0.8595907282 +-10 -110 2.55042008248053 0.08309695618 -1.664374653 -0.8605619963 +-5 -110 2.50324228557228 0.2948942909 -1.644368983 -0.8532805280 +-2.84217e-14 -110 2.45069554461849 0.5000000000 -1.602900519 -0.8381872414 +5 -110 2.39329062735567 0.6960967079 -1.541395628 -0.8158012917 +10 -110 2.33154627748293 0.8811249553 -1.461467030 -0.7867096612 +15 -110 2.26599903974047 1.053286459 -1.364893176 -0.7515596532 +20 -110 2.19721419045520 1.211052738 -1.253601343 -0.7110527383 +25 -110 2.12578953875174 1.353177225 -1.129644464 -0.6659361241 +30 -110 2.05235654894020 1.478709243 -0.9951741353 -0.6169929271 +35 -110 1.97757992521021 1.587008701 -0.8524093091 -0.5650307799 +40 -110 1.90215751342559 1.677760944 -0.7036008359 -0.5108689251 +45 -110 1.82682088030361 1.750990641 -0.5509906413 -0.4553233568 + +-45 -105 2.71164030149142 -1.383902854 -1.183902854 -0.5047902485 +-40 -105 2.71960009135168 -1.212423435 -1.340786780 -0.5468271697 +-35 -105 2.71852223127873 -1.023024925 -1.475105011 -0.5828176311 +-30 -105 2.70860318794315 -0.8192481350 -1.585004798 -0.6122651902 +-25 -105 2.69014224271906 -0.6047931514 -1.669236559 -0.6348350227 +-20 -105 2.66350931568352 -0.3834011411 -1.727124688 -0.6503461000 +-15 -105 2.62914630098882 -0.1587662774 -1.758549218 -0.6587662774 +-10 -105 2.58754068718347 0.06554954342 -1.763890976 -0.6601975972 +-5 -105 2.53922438367914 0.2861784918 -1.743991022 -0.6548654206 +-2.84217e-14 -105 2.48477675161191 0.5000000000 -1.700110037 -0.6431075461 +5 -105 2.42481217803287 0.7041871527 -1.633869835 -0.6253585374 +10 -105 2.35998120119964 0.8962430100 -1.547205779 -0.6021369736 +15 -105 2.29097097310527 1.074032118 -1.442317029 -0.5740321180 +20 -105 2.21851203895026 1.235809729 -1.321620614 -0.5416916110 +25 -105 2.14336582674591 1.380241888 -1.187684820 -0.5058036232 +30 -105 2.06632680246698 1.506421979 -1.043174001 -0.4670820659 +35 -105 1.98820288500330 1.613870806 -0.8907723719 -0.4262461724 +40 -105 1.90980840994551 1.702529992 -0.7331194386 -0.3840031962 +45 -105 1.83196237106357 1.772749611 -0.5727496114 -0.3410322305 + +-45 -100 2.72781427911086 -1.414035929 -1.214035929 -0.3374961763 +-40 -100 2.73864277687323 -1.244523109 -1.379041682 -0.3665911426 +-35 -100 2.74018911413685 -1.055565169 -1.521577296 -0.3917240169 +-30 -100 2.73251787264622 -0.8506027304 -1.639312550 -0.4124839188 +-25 -100 2.71580461989182 -0.6333678205 -1.730515134 -0.4285653952 +-20 -100 2.69033237088276 -0.4077711597 -1.794080763 -0.4397737306 +-15 -100 2.65648846406630 -0.1777892652 -1.829543975 -0.4460268516 +-10 -100 2.61474356034019 0.05264909433 -1.837053058 -0.4473509057 +-5 -100 2.56564284275690 0.2797614141 -1.817338556 -0.4438747070 +-2.84217e-14 -100 2.50981511998974 0.5000000000 -1.771685389 -0.4358248219 +5 -100 2.44795490494038 0.7101360788 -1.701866372 -0.4235138454 +10 -100 2.38081693854375 0.9073288983 -1.610076975 -0.4073288983 +15 -100 2.30921372308689 1.089183915 -1.498864305 -0.3877191038 +20 -100 2.23400487894219 1.253797271 -1.371040981 -0.3651804032 +25 -100 2.15608571655090 1.399784230 -1.229593509 -0.3402393974 +30 -100 2.07637536886045 1.526290906 -1.077587992 -0.3134367236 +35 -100 1.99579148558954 1.632981554 -0.9180653475 -0.2853085773 +40 -100 1.91523602882318 1.720010707 -0.7539521433 -0.2563709915 +45 -100 1.83558421852520 1.787981433 -0.5879814331 -0.2271058773 + +-45 -95 2.73741740006573 -1.431953016 -1.231953016 -0.1690239874 +-40 -95 2.75000818544454 -1.263714581 -1.401913188 -0.1838935757 +-35 -95 2.75318412855261 -1.075121738 -1.549506971 -0.1968063585 +-30 -95 2.74692616253545 -0.8695376547 -1.672108801 -0.2075326287 +-25 -95 2.73132995115611 -0.6506982680 -1.767680399 -0.2158940601 +-20 -95 2.70661887592416 -0.4226055332 -1.834837869 -0.2217695774 +-15 -95 2.67314180688851 -0.1894026951 -1.872885885 -0.2250983475 +-10 -95 2.63134828970225 0.04475777699 -1.881806943 -0.2258788389 +-5 -95 2.58178833258110 0.2758321130 -1.862250673 -0.2241678870 +-2.84217e-14 -95 2.52512252376246 0.5000000000 -1.815513670 -0.2200789291 +5 -95 2.46209704183297 0.7137754999 -1.743465145 -0.2137754999 +10 -95 2.39353310010032 0.9140984808 -1.648469186 -0.2054644304 +15 -95 2.32032376596065 1.098410999 -1.533300250 -0.1953884541 +20 -95 2.24341307433159 1.264712510 -1.401030355 -0.1838163378 +25 -95 2.16378314870772 1.411593094 -1.254917699 -0.1710331368 +30 -95 2.08243065161424 1.538239480 -1.098283530 -0.1573294227 +35 -95 2.00034297134568 1.644414449 -0.9343932146 -0.1429908780 +40 -95 1.91847576574470 1.730412222 -0.7663481856 -0.1282888430 +45 -95 1.83773582877365 1.796995949 -0.5969959486 -0.1134724421 + +-45 -90 2.74060115601050 -1.437897662 -1.237897662 -6.232754246e-16 +-40 -90 2.75378587922225 -1.270099443 -1.409522370 -6.784741407e-16 +-35 -90 2.75751390293336 -1.081644998 -1.558823151 -7.264929341e-16 +-30 -90 2.75173750490430 -0.8758687525 -1.683074584 -7.664552428e-16 +-25 -90 2.73652500689803 -0.6565054416 -1.780133923 -7.976719072e-16 +-20 -90 2.71207894303347 -0.4275856288 -1.848520570 -8.196667303e-16 +-15 -90 2.67873323677850 -0.1933071784 -1.887457615 -8.321898392e-16 +-10 -90 2.63692934973738 0.04210202378 -1.896868468 -8.352166002e-16 +-5 -90 2.58721868610953 0.2745090338 -1.877373538 -8.289465526e-16 +-2.84217e-14 -90 2.53027196525243 0.5000000000 -1.830271965 -8.137975314e-16 +5 -90 2.46685331517079 0.7150004329 -1.757466194 -7.903814093e-16 +10 -90 2.39780737688981 0.9163748814 -1.661379295 -7.594775058e-16 +15 -90 2.32405403242101 1.101509445 -1.544863812 -7.220032682e-16 +20 -90 2.24656737986829 1.268371297 -1.411082789 -6.789760097e-16 +25 -90 2.16635957772582 1.415543119 -1.263388555 -6.314739210e-16 +30 -90 2.08445323427724 1.542226617 -1.105189454 -5.805932095e-16 +35 -90 2.00185939363095 1.648219377 -0.9398272147 -5.274086571e-16 +40 -90 1.91955221716434 1.733864381 -0.7704623092 -4.729367490e-16 +45 -90 1.83844875685235 1.799979583 -0.5999795828 -4.181053223e-16 + +-45 -85 2.73741740006573 -1.431953016 -1.231953016 0.1690239874 +-40 -85 2.75000818544454 -1.263714581 -1.401913188 0.1838935757 +-35 -85 2.75318412855261 -1.075121738 -1.549506971 0.1968063585 +-30 -85 2.74692616253545 -0.8695376547 -1.672108801 0.2075326287 +-25 -85 2.73132995115611 -0.6506982680 -1.767680399 0.2158940601 +-20 -85 2.70661887592416 -0.4226055332 -1.834837869 0.2217695774 +-15 -85 2.67314180688851 -0.1894026951 -1.872885885 0.2250983475 +-10 -85 2.63134828970225 0.04475777699 -1.881806943 0.2258788389 +-5 -85 2.58178833258110 0.2758321130 -1.862250673 0.2241678870 +-2.84217e-14 -85 2.52512252376246 0.5000000000 -1.815513670 0.2200789291 +5 -85 2.46209704183297 0.7137754999 -1.743465145 0.2137754999 +10 -85 2.39353310010032 0.9140984808 -1.648469186 0.2054644304 +15 -85 2.32032376596065 1.098410999 -1.533300250 0.1953884541 +20 -85 2.24341307433159 1.264712510 -1.401030355 0.1838163378 +25 -85 2.16378314870772 1.411593094 -1.254917699 0.1710331368 +30 -85 2.08243065161424 1.538239480 -1.098283530 0.1573294227 +35 -85 2.00034297134568 1.644414449 -0.9343932146 0.1429908780 +40 -85 1.91847576574470 1.730412222 -0.7663481856 0.1282888430 +45 -85 1.83773582877365 1.796995949 -0.5969959486 0.1134724421 + +-45 -80 2.72781427911086 -1.414035929 -1.214035929 0.3374961763 +-40 -80 2.73864277687323 -1.244523109 -1.379041682 0.3665911426 +-35 -80 2.74018911413685 -1.055565169 -1.521577296 0.3917240169 +-30 -80 2.73251787264622 -0.8506027304 -1.639312550 0.4124839188 +-25 -80 2.71580461989182 -0.6333678205 -1.730515134 0.4285653952 +-20 -80 2.69033237088276 -0.4077711597 -1.794080763 0.4397737306 +-15 -80 2.65648846406630 -0.1777892652 -1.829543975 0.4460268516 +-10 -80 2.61474356034019 0.05264909433 -1.837053058 0.4473509057 +-5 -80 2.56564284275690 0.2797614141 -1.817338556 0.4438747070 +-2.84217e-14 -80 2.50981511998974 0.5000000000 -1.771685389 0.4358248219 +5 -80 2.44795490494037 0.7101360788 -1.701866372 0.4235138454 +10 -80 2.38081693854375 0.9073288983 -1.610076975 0.4073288983 +15 -80 2.30921372308689 1.089183915 -1.498864305 0.3877191038 +20 -80 2.23400487894219 1.253797271 -1.371040981 0.3651804032 +25 -80 2.15608571655090 1.399784230 -1.229593509 0.3402393974 +30 -80 2.07637536886045 1.526290906 -1.077587992 0.3134367236 +35 -80 1.99579148558954 1.632981554 -0.9180653475 0.2853085773 +40 -80 1.91523602882318 1.720010707 -0.7539521433 0.2563709915 +45 -80 1.83558421852520 1.787981433 -0.5879814331 0.2271058773 + +-45 -75 2.71164030149142 -1.383902854 -1.183902854 0.5047902485 +-40 -75 2.71960009135168 -1.212423435 -1.340786780 0.5468271697 +-35 -75 2.71852223127873 -1.023024925 -1.475105011 0.5828176311 +-30 -75 2.70860318794315 -0.8192481350 -1.585004798 0.6122651902 +-25 -75 2.69014224271906 -0.6047931514 -1.669236559 0.6348350227 +-20 -75 2.66350931568352 -0.3834011411 -1.727124688 0.6503461000 +-15 -75 2.62914630098882 -0.1587662774 -1.758549218 0.6587662774 +-10 -75 2.58754068718347 0.06554954342 -1.763890976 0.6601975972 +-5 -75 2.53922438367914 0.2861784918 -1.743991022 0.6548654206 +-2.84217e-14 -75 2.48477675161191 0.5000000000 -1.700110037 0.6431075461 +5 -75 2.42481217803286 0.7041871527 -1.633869835 0.6253585374 +10 -75 2.35998120119964 0.8962430100 -1.547205779 0.6021369736 +15 -75 2.29097097310527 1.074032118 -1.442317029 0.5740321180 +20 -75 2.21851203895026 1.235809729 -1.321620614 0.5416916110 +25 -75 2.14336582674591 1.380241888 -1.187684820 0.5058036232 +30 -75 2.06632680246698 1.506421979 -1.043174001 0.4670820659 +35 -75 1.98820288500330 1.613870806 -0.8907723719 0.4262461724 +40 -75 1.90980840994551 1.702529992 -0.7331194386 0.3840031962 +45 -75 1.83196237106357 1.772749611 -0.5727496114 0.3410322305 + +-45 -70 2.68864897066696 -1.341162829 -1.141162829 0.6701284662 +-40 -70 2.69274081579475 -1.167267270 -1.286971759 0.7231985765 +-35 -70 2.68818357715225 -0.9776034587 -1.410236434 0.7680632493 +-30 -70 2.67534975758297 -0.7757966145 -1.509744556 0.8042812439 +-25 -70 2.65467647627507 -0.5654439061 -1.584851830 0.8316180559 +-20 -70 2.62663669972026 -0.3500205515 -1.635412271 0.8500205515 +-15 -70 2.59171944173265 -0.1328172465 -1.661706116 0.8595907282 +-10 -70 2.55042008248053 0.08309695618 -1.664374653 0.8605619963 +-5 -70 2.50324228557228 0.2948942909 -1.644368983 0.8532805280 +-2.84217e-14 -70 2.45069554461849 0.5000000000 -1.602900519 0.8381872414 +5 -70 2.39329062735566 0.6960967079 -1.541395628 0.8158012917 +10 -70 2.33154627748293 0.8811249553 -1.461467030 0.7867096612 +15 -70 2.26599903974047 1.053286459 -1.364893176 0.7515596532 +20 -70 2.19721419045520 1.211052738 -1.253601343 0.7110527383 +25 -70 2.12578953875173 1.353177225 -1.129644464 0.6659361241 +30 -70 2.05235654894019 1.478709243 -0.9951741353 0.6169929271 +35 -70 1.97757992521020 1.587008701 -0.8524093091 0.5650307799 +40 -70 1.90215751342559 1.677760944 -0.7036008359 0.5108689251 +45 -70 1.82682088030361 1.750990641 -0.5509906413 0.4553233568 + +-45 -65 2.65850808293459 -1.285302319 -1.085302319 0.8325001433 +-40 -65 2.65789013827573 -1.108891865 -1.217402660 0.8940995441 +-35 -65 2.64920289545915 -0.9194887767 -1.327240067 0.9453175682 +-30 -65 2.63301017742905 -0.7207236306 -1.414355350 0.9859400919 +-25 -65 2.60988344232972 -0.5159796561 -1.478775404 1.015979656 +-20 -65 2.58037769053162 -0.3083428235 -1.520903655 1.035624382 +-15 -65 2.54501519954345 -0.1005871200 -1.541421646 1.045192079 +-10 -65 2.50428139885852 0.1048138590 -1.541211977 1.045094308 +-5 -65 2.45862741273850 0.3056613210 -1.521301265 1.035809791 +-2.84217e-14 -65 2.40847183194404 0.5000000000 -1.482816776 1.017864179 +5 -65 2.35420464416814 0.6860847309 -1.426958207 0.9918169006 +10 -65 2.29620238359277 0.8623503969 -1.354991219 0.9582581426 +15 -65 2.23483701216506 1.027389512 -1.268244455 0.9178074625 +20 -65 2.17049469445691 1.179940699 -1.168121716 0.8711194627 +25 -65 2.10359103363132 1.318889327 -1.056113828 0.8188893267 +30 -65 2.03457333370261 1.443274647 -0.9337996148 0.7618532723 +35 -65 1.96393721057997 1.552311559 -0.8028566552 0.7007935674 +40 -65 1.89223999573164 1.645423391 -0.6650624413 0.6365390703 +45 -65 1.82009133498286 1.722269476 -0.5222694757 0.5699536168 + +-45 -60 2.62081434676336 -1.215725732 -1.015725732 0.9905747134 +-40 -60 2.61486597941993 -1.037172194 -1.131930485 1.057665559 +-35 -60 2.60166502482052 -0.8489955570 -1.226565316 1.112303004 +-30 -60 2.58193913883233 -0.6546782856 -1.299961457 1.154678286 +-25 -60 2.55636867402582 -0.4572414064 -1.352810821 1.185190880 +-20 -60 2.52555416787130 -0.2592487083 -1.386018682 1.204363447 +-15 -60 2.49001611163998 -0.06285475665 -1.400602549 1.212783447 +-10 -60 2.45019843155537 0.1301332697 -1.397618463 1.211060584 +-5 -60 2.40647522273933 0.3181887319 -1.378112303 1.199798698 +-2.84217e-14 -60 2.35916000387777 0.5000000000 -1.343092495 1.179580002 +5 -60 2.30851588038180 0.6744103557 -1.293519488 1.150959013 +10 -60 2.25477165762059 0.8403663188 -1.230313316 1.114466913 +15 -60 2.19813865140575 0.9968774258 -1.154371798 1.070622057 +20 -60 2.13883000540270 1.142989146 -1.066598161 1.019945924 +25 -60 2.07707253097809 1.277767249 -0.9679272478 0.9629782455 +30 -60 2.01312860243202 1.400298480 -0.8593627102 0.9002984805 +35 -60 1.94731138372304 1.509705085 -0.7420083044 0.8325438827 +40 -60 1.88001146717422 1.605181441 -0.6171039533 0.7604303220 +45 -60 1.81169462543342 1.686032537 -0.4860325367 0.6847562044 + +-45 -55 2.57512441894075 -1.131823574 -0.9318235738 1.142615167 +-40 -55 2.56352346242251 -0.9520949953 -1.030539427 1.211736752 +-35 -55 2.54573495932212 -0.7666121307 -1.108909590 1.266612131 +-30 -55 2.52261248515498 -0.5785052717 -1.168025927 1.308005836 +-25 -55 2.49487974793852 -0.3902502939 -1.209147916 1.336799762 +-20 -55 2.46312988701124 -0.2037612909 -1.233568256 1.353899068 +-15 -55 2.42783649017682 -0.02049819409 -1.242525706 1.360171142 +-10 -55 2.38936624411082 0.1584279026 -1.237151626 1.356408171 +-5 -55 2.34799408402085 0.3321579147 -1.218443814 1.343308820 +-2.84217e-14 -55 2.30391846727258 0.5000000000 -1.187259522 1.321473344 +5 -55 2.25727797736756 0.6613574095 -1.144323630 1.291409308 +10 -55 2.20816622160261 0.8156686296 -1.090245760 1.253543576 +15 -55 2.15664666612872 0.9623584412 -1.025545194 1.208239752 +20 -55 2.10277301971165 1.100800738 -0.9506864624 1.155823104 +25 -55 2.04660481245481 1.230291926 -0.8661160889 1.096606291 +30 -55 1.98822413750575 1.350035519 -0.7723047076 1.030918855 +35 -55 1.92776920390835 1.459147711 -0.6698048915 0.9591477109 +40 -55 1.86544202032741 1.556670267 -0.5592905870 0.8817647618 +45 -55 1.80154783365487 1.641617936 -0.4416179361 0.7993694846 + +-45 -50 2.52100357192756 -1.033073707 -0.8330737066 1.286401582 +-40 -50 2.50378521654746 -0.8538372356 -0.9134403893 1.353837236 +-35 -50 2.48170394203931 -0.6730619668 -0.9753061097 1.405748739 +-30 -50 2.45564368694286 -0.4932630476 -1.020382064 1.443571955 +-25 -50 2.42629510738169 -0.3161922564 -1.050329942 1.468701209 +-20 -50 2.39418012003223 -0.1430131131 -1.066664009 1.482407118 +-15 -50 2.35967656024744 0.02554228136 -1.070700312 1.485793979 +-10 -50 2.32304258828863 0.1890405554 -1.063538645 1.479784626 +-5 -50 2.28443844119080 0.3472391626 -1.046064362 1.465121962 +-2.84217e-14 -50 2.24394712482903 0.5000000000 -1.018963226 1.442381409 +5 -50 2.20159139735143 0.6472208397 -0.9827418977 1.411988106 +10 -50 2.15734796433958 0.7887797788 -0.9377515092 1.374236687 +15 -50 2.11115877260027 0.9244885048 -0.8842126672 1.329312265 +20 -50 2.06294388100692 1.054051868 -0.8222449957 1.277315214 +25 -50 2.01262162821370 1.177034786 -0.7519057833 1.218293607 +30 -50 1.96012552848044 1.292834997 -0.6732304975 1.152277204 +35 -50 1.90541917381147 1.400661326 -0.5862776778 1.079315125 +40 -50 1.84852955512025 1.499529882 -0.4911933281 0.9995298823 +45 -50 1.78957624784363 1.588277828 -0.3882778280 0.9131735241 + +-45 -45 2.45808595027106 -0.9191765851 -0.7191765851 1.419176585 +-40 -45 2.43572336060511 -0.7428853409 -0.7812130702 1.481213070 +-35 -45 2.41002674667906 -0.5693592490 -0.8272032799 1.527203280 +-30 -45 2.38180134647043 -0.4002362907 -0.8592549944 1.559254994 +-25 -45 2.35161950538586 -0.2363993316 -0.8792134629 1.579213463 +-20 -45 2.31986750628078 -0.07821205772 -0.8886245722 1.588624572 +-15 -45 2.28678579728130 0.07429930137 -0.8887366361 1.588736636 +-10 -45 2.25250305827829 0.2213112436 -0.8805224776 1.580522478 +-5 -45 2.21706174639543 0.3631057811 -0.8647080814 1.564708081 +-2.84217e-14 -45 2.18043718797693 0.5000000000 -0.8418019216 1.541801922 +5 -45 2.14255294358353 0.6322936143 -0.8121229308 1.512122931 +10 -45 2.10329139416494 0.7602276880 -0.7758245558 1.475824556 +15 -45 2.06250149072218 0.8839486525 -0.7329158788 1.432915879 +20 -45 2.02000922948554 1.003474311 -0.6832842994 1.383284299 +25 -45 1.97562555460705 1.118658475 -0.6267173819 1.326717382 +30 -45 1.92915936456942 1.229153703 -0.5629312594 1.262931259 +35 -45 1.88043502112884 1.334372724 -0.4916077429 1.191607743 +40 -45 1.82931535058126 1.433451339 -0.4124439871 1.112443987 +45 -45 1.77573236569968 1.525219559 -0.3252195593 1.025219559 + + +### -z patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = dsigma = dnu +# dpy = 180 - drho = 180 - dmu +# +# dpx dpy gridfn global_x global_y global_z +135 45 1.12193003009452 1.147746605 1.347746605 -0.6477466049 +140 45 1.12782299231185 1.075498305 1.385852172 -0.6858521719 +145 45 1.13599930175541 1.004057211 1.419868301 -0.7198683011 +150 45 1.14616805768258 0.9332108059 1.450343126 -0.7503431262 +155 45 1.15812634983236 0.8626621858 1.477731567 -0.7777315672 +160 45 1.17174911145342 0.7920509309 1.502403338 -0.8024033381 +165 45 1.18697797239039 0.7209640066 1.524648899 -0.8246488994 +170 45 1.20381547660015 0.6489409024 1.544685832 -0.8446858319 +175 45 1.22231934199336 0.5754730678 1.562661112 -0.8626611124 +180 45 1.24260111160735 0.5000000000 1.578651672 -0.8786516723 +185 45 1.26482655601315 0.4219022909 1.592660900 -0.8926609000 +190 45 1.28921726356587 0.3404928443 1.604610032 -0.9046100320 +195 45 1.31605587117962 0.2550072663 1.614325330 -0.9143253296 +200 45 1.34568990403307 0.1645954451 1.621516441 -0.9215164411 +205 45 1.37853862058090 0.06831667859 1.625747870 -0.9257478702 +210 45 1.41509676343883 -0.03485630245 1.626398291 -0.9263982906 +215 45 1.45593486911460 -0.1460166553 1.622607399 -0.9226073987 +220 45 1.50169228129009 -0.2662739345 1.613209714 -0.9132097144 +225 45 1.55305166698360 -0.3966547980 1.596654798 -0.8966547980 + +135 40 1.13980643838574 1.193139550 1.281613141 -0.6931395500 +140 40 1.14568727880173 1.119491675 1.319491675 -0.7382814296 +145 40 1.15404652974061 1.045499432 1.353703863 -0.7790539272 +150 40 1.16464356595554 0.9710770638 1.384646066 -0.8159294088 +155 40 1.17730529026306 0.8960389890 1.412654326 -0.8493083527 +160 40 1.19192213150234 0.8201185884 1.438003727 -0.8795185931 +165 40 1.20844281689563 0.7429803439 1.460908122 -0.9068149885 +170 40 1.22687119010238 0.6642273739 1.481520380 -0.9313797201 +175 40 1.24726351345814 0.5834047508 1.499931017 -0.9533206635 +180 40 1.26972599416456 0.5000000000 1.516164137 -0.9726665421 +185 40 1.29441568090112 0.4134421747 1.530172005 -0.9893604699 +190 40 1.32153935664966 0.3231004690 1.541824266 -1.003247094 +195 40 1.35135553626056 0.2282843439 1.550894547 -1.014056634 +200 40 1.38417438819657 0.1282475679 1.557040767 -1.021381413 +205 40 1.42035593580721 0.02220011793 1.559779371 -1.024645154 +210 40 1.46030662857361 -0.09066737577 1.558454224 -1.023065905 +215 40 1.50446577295002 -0.2111370332 1.552197084 -1.015608937 +220 40 1.55328428642509 -0.3398859816 1.539885982 -1.000937136 +225 40 1.60718628656802 -0.4773627713 1.520104741 -0.9773627713 + +135 35 1.15962908512984 1.234842194 1.214542044 -0.7348421941 +140 35 1.16585392399047 1.160392102 1.251080600 -0.7870246603 +145 35 1.17467225632722 1.084449738 1.284449738 -0.8346807281 +150 35 1.18590558971588 1.007016213 1.314906745 -0.8781778420 +155 35 1.19942311286446 0.9279912808 1.342671669 -0.9178302635 +160 35 1.21514196885562 0.8471883010 1.367922381 -0.9538920174 +165 35 1.23302725954798 0.7643458340 1.390791206 -0.9865520833 +170 35 1.25308979972115 0.6791355813 1.411360700 -1.015928366 +175 35 1.27538563605880 0.5911686218 1.429659749 -1.042062116 +180 35 1.30001301085576 0.5000000000 1.445656830 -1.064908315 +185 35 1.32711307986522 0.4051337359 1.459253491 -1.084326360 +190 35 1.35686674624932 0.3060289746 1.470273350 -1.100064350 +195 35 1.38949280119458 0.2021098840 1.478449462 -1.111741048 +200 35 1.42524456452561 0.09278154192 1.483408661 -1.118823518 +205 35 1.46440019921087 -0.02254330445 1.484650980 -1.120597733 +210 35 1.50725212133791 -0.1444031211 1.481528904 -1.116138946 +215 35 1.55408691188846 -0.2732247725 1.473224772 -1.104279418 +220 35 1.60515404061322 -0.4092314478 1.458730775 -1.083579844 +225 35 1.66062445347297 -0.5523165834 1.436840004 -1.052316583 + +135 30 1.18118781991306 1.273268942 1.146447032 -0.7732689421 +140 30 1.18814165341788 1.198459625 1.180581611 -0.8323917679 +145 30 1.19774194456131 1.121044042 1.212076670 -0.8869428100 +150 30 1.20987215763974 1.041071278 1.241071278 -0.9371629435 +155 30 1.22444841738778 0.9584990956 1.267682241 -0.9832544836 +160 30 1.24142158763944 0.8732043243 1.291997908 -1.025370454 +165 30 1.26077831897817 0.7849921615 1.314072764 -1.063605227 +170 30 1.28253902497657 0.6936041218 1.333921090 -1.097983536 +175 30 1.30675933556640 0.5987267891 1.351512276 -1.128452363 +180 30 1.33352668976328 0.5000000000 1.366763345 -1.154867990 +185 30 1.36296021328026 0.3970271863 1.379532402 -1.176984646 +190 30 1.39520466371756 0.2893885734 1.389608382 -1.194436754 +195 30 1.43042572915462 0.1766599534 1.396700973 -1.206721482 +200 30 1.46880366727474 0.05843857904 1.400429819 -1.213180033 +205 30 1.51051875792661 -0.06561915930 1.400310982 -1.212974202 +210 30 1.55573523958582 -0.1957459501 1.395745950 -1.205067335 +215 30 1.60457819871938 -0.3319936811 1.386013431 -1.188210117 +220 30 1.65710176620312 -0.4741419936 1.370267417 -1.160937221 +225 30 1.71324918927710 -0.6215848706 1.347547327 -1.121584871 + +135 25 1.20435929696334 1.308778976 1.077139830 -0.8087789762 +140 25 1.21244043346051 1.233922566 1.107858257 -0.8746548545 +145 25 1.22317160612957 1.155396523 1.136465478 -0.9360032382 +150 25 1.23649433318397 1.073267002 1.163009732 -0.9929275744 +155 25 1.25237121543806 0.9875250964 1.187525096 -1.045500943 +160 25 1.27078665502392 0.8980933786 1.210025199 -1.093752568 +165 25 1.29174807360526 0.8048340361 1.230497757 -1.137656111 +170 25 1.31528645048009 0.7075577357 1.248899331 -1.177118413 +175 25 1.34145531728075 0.6060334123 1.265149703 -1.211967449 +180 25 1.37032732732893 0.5000000000 1.279125353 -1.241938328 +185 25 1.40199320782159 0.3891814569 1.290654071 -1.266661744 +190 25 1.43655314506289 0.2733058697 1.299506715 -1.285646300 +195 25 1.47411003546660 0.1521311539 1.305390542 -1.298264208 +200 25 1.51476031615605 0.02547813622 1.307943063 -1.303738106 +205 25 1.55857822418853 -0.1067258570 1.306725857 -1.301127799 +210 25 1.60559650678582 -0.2443911968 1.301221363 -1.289323374 +215 25 1.65578362053281 -0.3871975303 1.290834831 -1.267049384 +220 25 1.70901534715739 -0.5345126193 1.274903312 -1.232884131 +225 25 1.76504253699400 -0.6853018443 1.252715327 -1.185301844 + +135 20 1.22909302901003 1.341671941 1.006343534 -0.8416719412 +140 20 1.23870273854007 1.266968927 1.032682615 -0.9140379737 +145 20 1.25092927206025 1.187593450 1.057413389 -0.9819852145 +150 20 1.26576374348999 1.103605975 1.080522223 -1.045476216 +155 20 1.28320760785848 1.015010299 1.101984432 -1.104443151 +160 20 1.30327457854204 0.9217599549 1.121759955 -1.158775952 +165 20 1.32599069444227 0.8237656695 1.139788848 -1.208309928 +170 20 1.35139417872546 0.7209049209 1.155987027 -1.252814062 +175 20 1.37953231122369 0.6130333866 1.170241361 -1.291977521 +180 20 1.41045848761976 0.5000000000 1.182405214 -1.325397433 +185 20 1.44422940491446 0.3816655911 1.192294668 -1.352568483 +190 20 1.48089486566967 0.2579263192 1.199683111 -1.372868065 +195 20 1.52048927342259 0.1287438294 1.204297827 -1.385546891 +200 20 1.56302102230034 -0.005817950180 1.205817950 -1.389723396 +205 20 1.60845749221467 -0.1455480540 1.203873939 -1.384382269 +210 20 1.65670605703719 -0.2900350123 1.198049873 -1.368380781 +215 20 1.70759353297531 -0.4386063258 1.187890726 -1.340468753 +220 20 1.76084400714315 -0.5902637058 1.172915875 -1.299325688 +225 20 1.81605571190435 -0.7436187501 1.152640208 -1.243618750 + +135 15 1.25540346253028 1.372187275 0.9337018761 -0.8721872754 +140 15 1.26693705858539 1.297739608 0.9547417204 -0.9507090432 +145 15 1.28102882645680 1.217683604 0.9746367778 -1.024958408 +150 15 1.29770561349567 1.132058516 0.9933393780 -1.094757462 +155 15 1.31699691075105 1.040867001 1.010792400 -1.159893027 +160 15 1.33893794511125 0.9440830380 1.026926985 -1.220108119 +165 15 1.36356584135982 0.8416588849 1.041658885 -1.275088317 +170 15 1.39092001382998 0.7335367471 1.054886034 -1.324452708 +175 15 1.42103679763811 0.6196618279 1.066485083 -1.367740952 +180 15 1.45394598274889 0.5000000000 1.076308911 -1.404403975 +185 15 1.48966624431151 0.3745590642 1.084184603 -1.433796458 +190 15 1.52819391766373 0.2434148384 1.089910759 -1.455166762 +195 15 1.56949409461381 0.1067431539 1.093256846 -1.467654530 +200 15 1.61348977707041 -0.03514312935 1.093964000 -1.470293664 +205 15 1.66004798697567 -0.1817519230 1.091747538 -1.462021717 +210 15 1.70896381236109 -0.3323653063 1.086302083 -1.441699001 +215 15 1.75994404410087 -0.4859910708 1.077310293 -1.408141182 +220 15 1.81259138810130 -0.6413163209 1.064455870 -1.360167826 +225 15 1.86639008101672 -0.7966681455 1.047441182 -1.296668146 + +135 10 1.28336581555261 1.400504224 0.8587831909 -0.9005042240 +140 10 1.29720910706766 1.326325829 0.8736427156 -0.9847767759 +145 10 1.31353149770178 1.245672565 0.8877760305 -1.064930788 +150 10 1.33237918292445 1.158555606 0.9011276824 -1.140651768 +155 10 1.35379847697063 1.064971286 0.9136350955 -1.211584833 +160 10 1.37783382318528 0.9649082846 0.9252268631 -1.277325014 +165 10 1.40452477988600 0.8583572191 0.9358209998 -1.337407349 +170 10 1.43390422635461 0.7453236195 0.9453236195 -1.391299383 +175 10 1.46599151384538 0.6258428853 0.9536270999 -1.438390761 +180 10 1.50078845534670 0.5000000000 0.9606091803 -1.477988106 +185 10 1.53827329547763 0.3679523394 0.9661323692 -1.509311667 +190 10 1.57838978646457 0.2299566538 0.9700433462 -1.531491920 +195 10 1.62103785978336 0.08640059058 0.9721737447 -1.543574010 +200 10 1.66606341335948 -0.06216262837 0.9723421577 -1.544529128 +205 10 1.71324643765268 -0.2149771993 0.9703574960 -1.533273552 +210 10 1.76228851757651 -0.3710470688 0.9660241242 -1.508697779 +215 10 1.81280104426928 -0.5291005641 0.9591491599 -1.469707919 +220 10 1.86429532539958 -0.6875613367 0.9495521355 -1.415280489 +225 10 1.91617706806071 -0.8445313275 0.9370771494 -1.344531328 + +135 5 1.31310867553905 1.426736371 0.7810789265 -0.9267363707 +140 5 1.32963597425012 1.352760500 0.7889130130 -1.016280389 +145 5 1.34854264462096 1.271513540 0.7963981175 -1.101835525 +150 5 1.36987886699991 1.182981842 0.8034955239 -1.182959251 +155 5 1.39369382045908 1.087157573 0.8101625299 -1.259163479 +160 5 1.42002818086772 0.9840451933 0.8163514570 -1.329903239 +165 5 1.44891432416210 0.8736746915 0.8220093222 -1.394572934 +170 5 1.48036980787630 0.7561146485 0.8270771394 -1.452498350 +175 5 1.51439100728969 0.6314894129 0.8314894129 -1.502930867 +180 5 1.55094953138256 0.5000000000 0.8351741584 -1.545047700 +185 5 1.58998410435520 0.3619470959 0.8380529041 -1.577951914 +190 5 1.63139011368609 0.2177577500 0.8400409464 -1.600675341 +195 5 1.67501053867464 0.06801514355 0.8410482988 -1.612189432 +200 5 1.72062729916999 -0.08651045437 0.8409813522 -1.611424230 +205 5 1.76795111418801 -0.2448306581 0.8397451611 -1.597294501 +210 5 1.81661211197564 -0.4057100716 0.8372466039 -1.568735861 +215 5 1.86615220484505 -0.5676426885 0.8333984952 -1.524751777 +220 5 1.91601949800226 -0.7288368972 0.8281245919 -1.464470787 +225 5 1.96556815387665 -0.8872145780 0.8213655495 -1.387214578 + +135 -2.84217e-14 1.34481372239406 1.450926903 0.7000000000 -0.9509269025 +140 -2.84217e-14 1.36438238736275 1.377008093 0.7000000000 -1.045177546 +145 -2.84217e-14 1.38620555788868 1.295094844 0.7000000000 -1.135513117 +150 -2.84217e-14 1.41032382046561 1.205161910 0.7000000000 -1.221376256 +155 -2.84217e-14 1.43677367305194 1.107206792 0.7000000000 -1.302159168 +160 -2.84217e-14 1.46558073503318 1.001258133 0.7000000000 -1.377195402 +165 -2.84217e-14 1.49675973546688 0.8873899255 0.7000000000 -1.445758884 +170 -2.84217e-14 1.53030503580835 0.7657346807 0.7000000000 -1.507056264 +175 -2.84217e-14 1.56618687367780 0.6365021803 0.7000000000 -1.560227060 +180 -2.84217e-14 1.60434642433960 0.5000000000 0.7000000000 -1.604346424 +185 -2.84217e-14 1.64468583867385 0.3566561841 0.7000000000 -1.638427313 +190 -2.84217e-14 1.68705988967908 0.2070451245 0.7000000000 -1.661429659 +195 -2.84217e-14 1.73126757347926 0.05191497982 0.7000000000 -1.672276061 +200 -2.84217e-14 1.77704346589693 -0.1077846609 0.7000000000 -1.669874632 +205 -2.84217e-14 1.82404927335573 -0.2708765332 0.7000000000 -1.653150060 +210 -2.84217e-14 1.87186647890484 -0.4359332395 0.7000000000 -1.621083923 +215 -2.84217e-14 1.91999123060851 -0.6012617279 0.7000000000 -1.572764742 +220 -2.84217e-14 1.96783322768947 -0.7648988167 0.7000000000 -1.507447709 +225 -2.84217e-14 2.01471681471696 -0.9246199219 0.7000000000 -1.424619922 + +135 -5 1.37871812199693 1.473040733 0.6148699667 -0.9730407333 +140 -5 1.40166396050189 1.398955566 0.6062704617 -1.071333525 +145 -5 1.42670573527465 1.316231357 0.5980145362 -1.165699186 +150 -5 1.45386109064301 1.224852941 0.5901595470 -1.255482122 +155 -5 1.48314068354764 1.124841175 0.5827672710 -1.339976224 +160 -5 1.51454561707593 1.016263364 0.5759041605 -1.418421936 +165 -5 1.54806400821696 0.8992453736 0.5696415397 -1.490004019 +170 -5 1.58366291685263 0.7739851009 0.5640560270 -1.553846722 +175 -5 1.62128580124866 0.6407707238 0.5592292762 -1.609016736 +180 -5 1.66084515519687 0.5000000000 0.5552478069 -1.654525138 +185 -5 1.70221428812210 0.3522025313 0.5522025313 -1.689332797 +190 -5 1.74521893739536 0.1980645429 0.5501878186 -1.712361069 +195 -5 1.78962880588632 0.03845511717 0.5492999938 -1.722508953 +200 -5 1.83514939385227 -0.1255476159 0.5496351632 -1.718677949 +205 -5 1.88141421469398 -0.2926322037 0.5512863107 -1.699805246 +210 -5 1.92797824462216 -0.4612339929 0.5543395892 -1.664906114 +215 -5 1.97431351418943 -0.6295227596 0.5588697904 -1.613125678 +220 -5 2.01980910093806 -0.7954022394 0.5649349774 -1.543800273 +225 -5 2.06377570004253 -0.9565252959 0.5725705485 -1.456525296 + +135 -10 1.41511151486832 1.492946735 0.5249167002 -0.9929467351 +140 -10 1.44173924924517 1.418391934 0.5070106685 -1.094496887 +145 -10 1.47025757854539 1.334643663 0.4898191765 -1.191994683 +150 -10 1.50064954515264 1.241726667 0.4734712693 -1.284708272 +155 -10 1.53289060165120 1.139710555 0.4581034137 -1.371863712 +160 -10 1.56695042178190 1.028719952 0.4438592941 -1.452646129 +165 -10 1.60278626955136 0.9089426108 0.4308907141 -1.526194601 +170 -10 1.64033850059574 0.7806420197 0.4193579803 -1.591599984 +175 -10 1.67952608138925 0.6441730092 0.4094298805 -1.647905036 +180 -10 1.72024009406138 0.5000000000 0.4012834425 -1.694105782 +185 -10 1.76233562728475 0.3487184966 0.3951032321 -1.729155496 +190 -10 1.80562281784185 0.1910798385 0.3910798385 -1.751973295 +195 -10 1.84985842579599 0.02801820896 0.3894070723 -1.761460024 +200 -10 1.89473753172882 -0.1393217823 0.3902777509 -1.756522161 +205 -10 1.93988508817006 -0.3095587283 0.3938779714 -1.736104295 +210 -10 1.98484901893453 -0.4810521392 0.4003795255 -1.699232150 +215 -10 2.02909477387626 -0.6518873419 0.4099305477 -1.645065611 +220 -10 2.07200435061778 -0.8198725667 0.4226442058 -1.572962873 +225 -10 2.11288281784061 -0.9825546069 0.4385856224 -1.482554607 + +135 -15 1.45434335278555 1.510400086 0.4292641129 -1.010400086 +140 -15 1.48491443269242 1.434991244 0.4014297951 -1.114279174 +145 -15 1.51710655029045 1.349943791 0.3747510704 -1.213845530 +150 -15 1.55085876180317 1.255358902 0.3494367137 -1.308319996 +155 -15 1.58610734499452 1.151385828 0.3257013937 -1.396901416 +160 -15 1.62278937557136 1.038227510 0.3037653275 -1.478767930 +165 -15 1.66083401911093 0.9161432339 0.2838567661 -1.553067692 +170 -15 1.70016036365701 0.7854584857 0.2662128937 -1.618915520 +175 -15 1.74067077895164 0.6465773775 0.2510813818 -1.675387092 +180 -15 1.78224640282753 0.5000000000 0.2387206879 -1.721517829 +185 -15 1.82473715185292 0.3463436109 0.2294006823 -1.756300564 +190 -15 1.86795259648355 0.1863690444 0.2234015751 -1.778689537 +195 -15 1.91165350810921 0.02101073083 0.2210107308 -1.787612289 +200 -15 1.95554196488003 -0.1485909372 0.2225174987 -1.781988954 +205 -15 1.99925150755855 -0.3210567228 0.2282052912 -1.760761824 +210 -15 2.04233820749747 -0.4947381304 0.2383404270 -1.722936982 +215 -15 2.08427392496955 -0.6676936469 0.2531573818 -1.667639354 +220 -15 2.12444280501427 -0.8376766888 0.2728404886 -1.594181000 +225 -15 2.16214615201308 -1.002143668 0.2975018174 -1.502143668 + +135 -20 1.49682039564813 1.525009253 0.3269271419 -1.025009253 +140 -20 1.53153211586116 1.448280412 0.2886712009 -1.130116588 +145 -20 1.56750993468435 1.361607117 0.2521337218 -1.230502486 +150 -20 1.60464629438007 1.265209223 0.2176006748 -1.325381253 +155 -20 1.64284129629375 1.159347858 0.1853548080 -1.413976044 +160 -20 1.68200491016616 1.044322990 0.1556770103 -1.495515123 +165 -20 1.72204725337880 0.9204703579 0.1288518160 -1.569216739 +170 -20 1.76287741319159 0.7881678060 0.1051704202 -1.634280839 +175 -20 1.80439616231892 0.6478450394 0.08493524221 -1.689876534 +180 -20 1.84648954121928 0.5000000000 0.06846338246 -1.735132596 +185 -20 1.88901771173479 0.3452214076 0.05609028350 -1.769127406 +190 -20 1.93180567756203 0.1842184264 0.04817069477 -1.790886297 +195 -20 1.97463379322500 0.01785586831 0.04507691189 -1.799386396 +200 -20 2.01722606064785 -0.1528057758 0.04719422421 -1.793569128 +205 -20 2.05923831720125 -0.3264671556 0.05491206509 -1.772364535 +210 -20 2.10024644269044 -0.5015465431 0.06861009796 -1.734729499 +215 -20 2.13973717926397 -0.6761410506 0.08863792466 -1.679703497 +220 -20 2.17710115297399 -0.8479980971 0.1152885248 -1.606481575 +225 -20 2.21163338247859 -1.014506810 0.1487646016 -1.514506810 + +135 -25 1.54301006760766 1.536197508 0.2168131665 -1.036197508 +140 -25 1.58197033254616 1.457608880 0.1678339286 -1.141233823 +145 -25 1.62172994857713 1.368950983 0.1213165727 -1.240990615 +150 -25 1.66214333224788 1.270607596 0.07760447575 -1.334731509 +155 -25 1.70308777527478 1.162980769 0.03701923076 -1.421766848 +160 -25 1.74446131173802 1.046479218 -0.0001326491963 -1.501439311 +165 -25 1.78617265874010 0.9215111537 -0.03354906270 -1.573101041 +170 -25 1.82813867984908 0.7884879752 -0.06292437826 -1.636096609 +175 -25 1.87027567291021 0.6478332592 -0.08793958111 -1.689741885 +180 -25 1.91249223295536 0.5000000000 -0.1082541431 -1.733306603 +185 -25 1.95467614468701 0.3454954265 -0.1234971587 -1.765995356 +190 -25 1.99668318784595 0.1849149923 -0.1332618835 -1.786935876 +195 -25 2.03832686364512 0.01898406704 -0.1371042704 -1.795175901 +200 -25 2.07936506109985 -0.1513929456 -0.1345449447 -1.789687409 +205 -25 2.11948596137776 -0.3250769300 -0.1250769300 -1.769383186 +210 -25 2.15829340929897 -0.5006340990 -0.1081806977 -1.733149099 +215 -25 2.19529382848194 -0.6762764401 -0.08334876764 -1.679896853 +220 -25 2.22988355935094 -0.8498080550 -0.05012049784 -1.608638599 +225 -25 2.26134523383598 -1.018590414 -0.008130339488 -1.518590414 + +135 -30 1.59343298686943 1.543146754 0.09773894084 -1.043146754 +140 -30 1.63661841828491 1.462100676 0.03801772357 -1.146586936 +145 -30 1.68000519972256 1.371103516 -0.01826111821 -1.244064750 +150 -30 1.72342825387093 1.270740546 -0.07074054600 -1.334961785 +155 -30 1.76676407430549 1.161571136 -0.1191121606 -1.418743879 +160 -30 1.80992619194763 1.044111918 -0.1631012456 -1.494935209 +165 -30 1.85284762721643 0.9188262459 -0.2024451376 -1.563080829 +170 -30 1.89547642537282 0.7861293431 -0.2368779107 -1.622720142 +175 -30 1.93776532102026 0.6463998328 -0.2661135451 -1.673357746 +180 -30 1.97966275281191 0.5000000000 -0.2898313764 -1.714438235 +185 -30 2.02110000159353 0.3473041606 -0.3076617981 -1.745321431 +190 -30 2.06197745189416 0.1887366965 -0.3191744414 -1.765261914 +195 -30 2.10215278768458 0.02481966272 -0.3238713286 -1.773397161 +200 -30 2.14142671906090 -0.1437697876 -0.3211842211 -1.768742955 +205 -30 2.17952666890643 -0.3161315678 -0.3104783229 -1.750199795 +210 -30 2.21608942601929 -0.4910653202 -0.2910653202 -1.716575488 +215 -30 2.25064287977871 -0.6669862247 -0.2622287311 -1.666629051 +220 -30 2.28258665216086 -0.8418388400 -0.2232646360 -1.599141258 +225 -30 2.31118476142229 -1.013025588 -0.1735457304 -1.513025588 + +135 -35 1.64865240433584 1.544730048 -0.03152785518 -1.044730048 +140 -35 1.69585858142567 1.460610580 -0.1016053685 -1.144811109 +145 -35 1.74251904852234 1.366977828 -0.1669778277 -1.238172656 +150 -35 1.78848722068445 1.264640985 -0.2273527881 -1.324397036 +155 -35 1.83367457822241 1.154311829 -0.2825145852 -1.403176246 +160 -35 1.87804260235306 1.036591145 -0.3322964058 -1.474272054 +165 -35 1.92158084187048 0.9119632282 -0.3765464722 -1.537467698 +170 -35 1.96429487232700 0.7808059757 -0.4151013883 -1.592529825 +175 -35 2.00619559915490 0.6434092425 -0.4477627910 -1.639175142 +180 -35 2.04728793553672 0.5000000000 -0.4742761182 -1.677040098 +185 -35 2.08755859033389 0.3507746721 -0.4943113000 -1.705653303 +190 -35 2.12696304388039 0.1959397791 -0.5074457234 -1.724411203 +195 -35 2.16541136811867 0.03576251485 -0.5131500889 -1.732557881 +200 -35 2.20275329722850 -0.1293669336 -0.5107788762 -1.729171439 +205 -35 2.23876038540350 -0.2988589801 -0.4995665739 -1.713158611 +210 -35 2.27310532977517 -0.4718322159 -0.4786332834 -1.683262774 +215 -35 2.30533846930960 -0.6470045850 -0.4470045850 -1.638092312 +220 -35 2.33486273144971 -0.8225712722 -0.4036524630 -1.576179065 +225 -35 2.36091753683451 -0.9960833986 -0.3475688735 -1.496083399 + +135 -40 1.70924115736240 1.539424420 -0.1721806478 -1.039424420 +140 -40 1.76002013048087 1.451671402 -0.2516714023 -1.134157813 +145 -40 1.80935539041578 1.355253504 -0.3249002772 -1.221428587 +150 -40 1.85717428930048 1.251193100 -0.3917564035 -1.301104616 +155 -40 1.90347307701255 1.140317817 -0.4522230751 -1.373165989 +160 -40 1.94830006378990 1.023261587 -0.5063310770 -1.437649395 +165 -40 1.99173285678574 0.9004756598 -0.5541145408 -1.494595510 +170 -40 2.03385950769804 0.7722497754 -0.5955741950 -1.544005201 +175 -40 2.07476722130278 0.6387400827 -0.6306495666 -1.585806401 +180 -40 2.11453103739571 0.5000000000 -0.6591943511 -1.619824751 +185 -40 2.15320123357218 0.3560150199 -0.6809531300 -1.645755854 +190 -40 2.19079347161920 0.2067432493 -0.6955415690 -1.663141678 +195 -40 2.22727483579469 0.05216415877 -0.7024259069 -1.671346113 +200 -40 2.26254806008704 -0.1076602422 -0.7009043519 -1.669532794 +205 -40 2.29643266893669 -0.2725072503 -0.6900920078 -1.656647144 +210 -40 2.32864139979334 -0.4418929407 -0.6689125325 -1.631406429 +215 -40 2.35875121636122 -0.6149441697 -0.6361027846 -1.592305294 +220 -40 2.38617203951372 -0.7902418851 -0.5902418851 -1.537650402 +225 -40 2.41011597833017 -0.9656406986 -0.5298185696 -1.465640699 + +135 -45 1.77573259648267 1.525219693 -0.3252196926 -1.025219693 +140 -45 1.82931593499312 1.433451638 -0.4124443425 -1.112444343 +145 -45 1.88043551408171 1.334372943 -0.4916080553 -1.191608055 +150 -45 1.92915972537985 1.229153839 -0.5629314956 -1.262931496 +155 -45 1.97562589462884 1.118658582 -0.6267176102 -1.326717610 +160 -45 2.02000943696943 1.003474362 -0.6832844415 -1.383284441 +165 -45 2.06250159602188 0.8839486721 -0.7329159520 -1.432915952 +170 -45 2.10329144979052 0.7602276949 -0.7758245949 -1.475824595 +175 -45 2.14255298002245 0.6322936166 -0.8121229565 -1.512122957 +180 -45 2.18043721029815 0.5000000000 -0.8418019374 -1.541801937 +185 -45 2.21706175100151 0.3631057809 -0.8647080847 -1.564708085 +190 -45 2.25250304549955 0.2213112452 -0.8805224687 -1.580522469 +195 -45 2.28678578587351 0.07429930349 -0.8887366282 -1.588736628 +200 -45 2.31986751207752 -0.07821205916 -0.8886245762 -1.588624576 +205 -45 2.35161959489114 -0.2363993596 -0.8792135230 -1.579213523 +210 -45 2.38180163799284 -0.4002364009 -0.8592551852 -1.559255185 +215 -45 2.41002732400783 -0.5693595051 -0.8272036458 -1.527203646 +220 -45 2.43572407243245 -0.7428857041 -0.7812135031 -1.481213503 +225 -45 2.45808636904204 -0.9191768269 -0.7191768269 -1.419176827 + + diff --git a/test/checkpointML-EE/h.t1.ah1.gp b/test/checkpointML-EE/h.t1.ah1.gp new file mode 100644 index 0000000..294f22c --- /dev/null +++ b/test/checkpointML-EE/h.t1.ah1.gp @@ -0,0 +1,2337 @@ +# N_patches = 6 +# 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 2.45787967578506 -0.9190574925 -0.7190574925 1.419057492 +-40 -45 2.43552101260070 -0.7427820881 -0.7810900183 1.481090018 +-35 -45 2.40982796600917 -0.5692710475 -0.8270773151 1.527077315 +-30 -45 2.38160544127551 -0.4001622455 -0.8591267443 1.559126744 +-25 -45 2.35142567096339 -0.2363386332 -0.8790832947 1.579083295 +-20 -45 2.31967481572754 -0.07816403084 -0.8884926195 1.588492619 +-15 -45 2.28659323772120 0.07433514764 -0.8886028560 1.588602856 +-10 -45 2.25230959404201 0.2213351798 -0.8803867288 1.580386729 +-5 -45 2.21686639467816 0.3631178433 -0.8645702105 1.564570210 +0 -45 2.18023911871036 0.5000000000 -0.8416618654 1.541661865 +5 -45 2.14235151016809 0.6322811766 -0.8119807676 1.511980768 +10 -45 2.10308620504769 0.7602023012 -0.7756805800 1.475680580 +15 -45 2.06229242969564 0.8839097344 -0.7327706344 1.432770634 +20 -45 2.01979646255253 1.003421280 -0.6831385985 1.383138598 +25 -45 1.97540949212636 1.118590816 -0.6265722867 1.326572287 +30 -45 1.92894056977876 1.229071006 -0.5627880246 1.262788025 +35 -45 1.88021455083580 1.334274899 -0.4914680337 1.191468034 +40 -45 1.82909431364027 1.433338550 -0.4123095701 1.112309570 +45 -45 1.77551166214695 1.525092136 -0.3250921361 1.025092136 + +-45 -40 2.40990857825036 -0.9655145744 -0.5297127388 1.465514574 +-40 -40 2.38596807809825 -0.7901315998 -0.5901315998 1.537518969 +-35 -40 2.35855084648336 -0.6148494581 -0.6359892861 1.592170031 +-30 -40 2.32844416693141 -0.4418131636 -0.6687965875 1.631268251 +-25 -40 2.29623771172562 -0.2724416678 -0.6899739950 1.656506502 +-20 -40 2.26235432616874 -0.1076082105 -0.7007843974 1.669389838 +-15 -40 2.22708120609621 0.05220309170 -0.7023039860 1.671200813 +-10 -40 2.19059883988264 0.2067693025 -0.6954175880 1.662993924 +-5 -40 2.15300455151583 0.3560281720 -0.6808269882 1.645605524 +0 -40 2.11433143017346 0.5000000000 -0.6590660461 1.619671843 +5 -40 2.07456405061291 0.6387264966 -0.6305192633 1.585651112 +10 -40 2.03365241660793 0.7722220544 -0.5954422774 1.543847988 +15 -40 1.99152177064490 0.9004332169 -0.5539816283 1.494437111 +20 -40 1.94808520962586 1.023203883 -0.5061980455 1.437490854 +25 -40 1.90325496946395 1.140244447 -0.4520910487 1.373008646 +30 -40 1.85695372903815 1.251103888 -0.3916267452 1.300950095 +35 -40 1.80913344945030 1.355148596 -0.3247745598 1.221278763 +40 -40 1.75979804693120 1.451551318 -0.2515513181 1.134014702 +45 -40 1.70902027236854 1.539290096 -0.1720679360 1.039290096 + +-45 -35 2.36070983682659 -0.9959517817 -0.3474767144 1.495951782 +-40 -35 2.33465862890693 -0.8224556594 -0.4035559870 1.576041283 +-35 -35 2.30513810391832 -0.6469048947 -0.4469048947 1.637949939 +-30 -35 2.27290822502056 -0.4717479467 -0.4785310822 1.683116816 +-25 -35 2.23856565496036 -0.2987894943 -0.4994622339 1.713009599 +-20 -35 2.20255984353293 -0.1293116604 -0.5106725413 1.729019577 +-15 -35 2.16521799534138 0.03580397158 -0.5130417538 1.732403163 +-10 -35 2.12676855114108 0.1959675828 -0.5073353127 1.724253520 +-5 -35 2.08736189517115 0.3507887325 -0.4941987689 1.705492591 +0 -35 2.04708812783191 0.5000000000 -0.4741615133 1.676876425 +5 -35 2.00599202493142 0.6433946903 -0.4476463243 1.639008811 +10 -35 1.96408718674447 0.7807762860 -0.4149834882 1.592361446 +15 -35 1.92136902861635 0.9119178180 -0.3764278059 1.537298225 +20 -35 1.87782698097194 1.036529538 -0.3321778860 1.474102791 +25 -35 1.83345578757339 1.154233758 -0.2823973534 1.403008822 +30 -35 1.78826616487608 1.264546476 -0.2272381679 1.324233341 +35 -35 1.74229688623896 1.366867292 -0.1668672924 1.238014796 +40 -35 1.69563661389196 1.460484847 -0.1015004480 1.144661267 +45 -35 1.64843195117109 1.544590350 -0.03143003733 1.044590350 + +-45 -30 2.31097655628827 -1.012889285 -0.1734670362 1.512889285 +-40 -30 2.28238231723446 -0.8417187199 -0.2231819862 1.598998105 +-35 -30 2.25044256412673 -0.6668823586 -0.2621430891 1.666480714 +-30 -30 2.21589260690889 -0.4909773000 -0.2909773000 1.716423033 +-25 -30 2.17933241449382 -0.3160588286 -0.3103882622 1.750043805 +-20 -30 2.14123384090186 -0.1437118033 -0.3210922431 1.768583644 +-15 -30 2.10195999798089 0.02486324180 -0.3237774287 1.773234522 +-10 -30 2.06178346200182 0.1887659800 -0.3190785579 1.765095839 +-5 -30 2.02090366994872 0.3473189936 -0.3075639128 1.745151889 +0 -30 1.97946314204548 0.5000000000 -0.2897315710 1.714265367 +5 -30 1.93756177786070 0.6463844549 -0.2660120644 1.673181976 +10 -30 1.89526861891263 0.7860979740 -0.2367751981 1.622542238 +15 -30 1.85263558226865 0.9187783143 -0.2023418593 1.562901946 +20 -30 1.80971030398740 1.044047017 -0.1629982949 1.494756894 +25 -30 1.76654507702404 1.161489132 -0.1190106284 1.418568020 +30 -30 1.72320715150800 1.270641666 -0.07064166602 1.334790520 +35 -30 1.67978320220574 1.370988407 -0.01816620649 1.243900358 +40 -30 1.63639683555891 1.461970416 0.03810734974 1.146431699 +45 -30 1.59321311216877 1.543002812 0.09782204567 1.043002812 + +-45 -25 2.26113626064530 -1.018450079 -0.008064900450 1.518450079 +-40 -25 2.22967866194904 -0.8496840251 -0.05005157149 1.608490786 +-35 -25 2.19509317751600 -0.6761689279 -0.08327716916 1.679743310 +-30 -25 2.15809648553635 -0.5005428007 -0.1081069589 1.732990966 +-25 -25 2.11929177815988 -0.3250013380 -0.1250013380 1.769221079 +-20 -25 2.07917237962837 -0.1513325852 -0.1344676127 1.789521570 +-15 -25 2.03813430283121 0.01902950863 -0.1370251891 1.795006311 +-10 -25 1.99648940196343 0.1849455725 -0.1331810122 1.786762447 +-5 -25 1.95447993116013 0.3455109359 -0.1234144947 1.765818082 +0 -25 1.91229263729307 0.5000000000 -0.1081697903 1.733125708 +5 -25 1.87007205166328 0.6478171642 -0.08785379630 1.689557919 +10 -25 1.82793073397282 0.7884551605 -0.06283759765 1.635910507 +15 -25 1.78596045517231 0.9214610767 -0.03346191450 1.572914152 +20 -25 1.74424530505592 1.046411551 -4.595576860e-05 1.501253397 +25 -25 1.70286876113191 1.162895511 0.03710448894 1.421584011 +30 -25 1.66192237318139 1.270505154 0.07768721466 1.334554075 +35 -25 1.62150828762040 1.368832213 0.1213956682 1.240820994 +40 -25 1.58174925285060 1.457475054 0.1679082986 1.141074336 +45 -25 1.54279079780868 1.536050259 0.2168818299 1.036050259 + +-45 -20 2.21142351859430 -1.014363097 0.1488169089 1.514363097 +-40 -20 2.17689543378823 -0.8478707218 0.1153437755 1.606329775 +-35 -20 2.13953580382724 -0.6760303614 0.08869546131 1.679545416 +-30 -20 2.10004891361684 -0.5014523472 0.06866948045 1.734566347 +-25 -20 2.05904364819848 -0.3263890260 0.05497304813 1.772196985 +-20 -20 2.01703296445369 -0.1527432869 0.04725671314 1.793397441 +-15 -20 1.97444082499098 0.01790298515 0.04514091331 1.799210554 +-10 -20 1.93161146267084 0.1842501736 0.04823622670 1.790706250 +-5 -20 1.88882103293484 0.3452375227 0.05615732543 1.768943210 +0 -20 1.84628947797482 0.5000000000 0.06853180812 1.734944598 +5 -20 1.80419209319447 0.6478283188 0.08500480327 1.689685416 +10 -20 1.76266907726919 0.7881337504 0.1052407168 1.634087700 +15 -20 1.72183475654976 0.9204184728 0.1289222944 1.569023101 +20 -20 1.68178875262260 1.044253038 0.1557469622 1.495322932 +25 -20 1.64262231035559 1.159259969 0.1854234087 1.413787565 +30 -20 1.60442555313647 1.265103958 0.2176670355 1.325198929 +35 -20 1.56728866563987 1.361485493 0.2521969424 1.230328789 +40 -20 1.53131155287054 1.448143846 0.2887304382 1.129953834 +45 -20 1.49660169198653 1.524859487 0.3269816524 1.024859487 + +-45 -15 2.16193544412545 -1.001997279 0.2975410421 1.501997279 +-40 -15 2.12423617832310 -0.8375465843 0.2728820348 1.594025947 +-35 -15 2.08407158081017 -0.6675802856 0.2532007619 1.667477458 +-30 -15 2.04213965675519 -0.4946414246 0.2383853084 1.722769483 +-25 -15 1.99905577378885 -0.3209763384 0.2282514815 1.760589439 +-20 -15 1.95534775238972 -0.1485265231 0.2225649194 1.781811978 +-15 -15 1.91145940698713 0.02105936535 0.2210593654 1.787430782 +-10 -15 1.86775727144315 0.1864018396 0.2234514112 1.778503546 +-5 -15 1.82453943251378 0.3463602604 0.2294516741 1.756110260 +0 -15 1.78204537817621 0.5000000000 0.2387727169 1.721323654 +5 -15 1.74046585282705 0.6465601212 0.2511342322 1.675189851 +10 -15 1.69995130220646 0.7854233841 0.2662662347 1.618716449 +15 -15 1.66062099655897 0.9160898584 0.2839101416 1.552868492 +20 -15 1.62257295678538 1.038155731 0.3038181702 1.478570718 +25 -15 1.58588836793182 1.151295898 0.3257530691 1.396708561 +30 -15 1.55063826031483 1.255251505 0.3494865569 1.308133978 +35 -15 1.51688568425858 1.349820053 0.3747984214 1.213668814 +40 -15 1.48469434605842 1.434852664 0.4014740477 1.114114021 +45 -15 1.45412511722148 1.510248468 0.4293047390 1.010248468 + +-45 -10 2.11267148815022 -0.9824063224 0.4386117690 1.482406322 +-40 -10 2.07179693752830 -0.8197404440 0.4226719699 1.572805415 +-35 -10 2.02889145065935 -0.6517719183 0.4099596138 1.644900769 +-30 -10 1.98464929987753 -0.4809534240 0.4004096738 1.699061170 +-25 -10 1.93968801105603 -0.3094764835 0.3939090710 1.735927921 +-20 -10 1.89454181831710 -0.1392557448 0.3903097430 1.756340724 +-15 -10 1.84966274025238 0.02806813711 0.3894399280 1.761273690 +-10 -10 1.80542588579644 0.1911135312 0.3911135312 1.751782215 +-5 -10 1.76213636306774 0.3487356017 0.3951377063 1.728959984 +0 -10 1.72003766411219 0.5000000000 0.4013185941 1.693906427 +5 -10 1.67931997070663 0.6441553164 0.4094655392 1.647702806 +10 -10 1.64012854499703 0.7806060989 0.4193939011 1.591396267 +15 -10 1.60257267802481 0.9088881140 0.4309265763 1.525991216 +20 -10 1.56673373449287 1.028646837 0.4438947147 1.452445248 +25 -10 1.53267161743393 1.139619168 0.4581379704 1.371667732 +30 -10 1.50042924783477 1.241617780 0.4735045241 1.284519675 +35 -10 1.47003706160514 1.334518479 0.4898507005 1.191815902 +40 -10 1.44151958802207 1.418252009 0.5070400721 1.094330131 +45 -10 1.41489371082519 1.492793908 0.5249436478 0.9927939077 + +-45 -5 2.06356418945709 -0.9563760207 0.5725836084 1.456376021 +-40 -5 2.01960127933408 -0.7952689533 0.5649488745 1.543641428 +-35 -5 1.97410949868975 -0.6294060404 0.5588843740 1.612958985 +-30 -5 1.92777754048307 -0.4611339276 0.5543547526 1.664732796 +-25 -5 1.88121586274456 -0.2925486389 0.5513019892 1.699626041 +-20 -5 1.83495216240433 -0.1254803856 0.5496513235 1.718493236 +-15 -5 1.78943146354822 0.03850601172 0.5493166115 1.722319012 +-10 -5 1.74502030849624 0.1980989071 0.5502048692 1.712166179 +-5 -5 1.70201340626143 0.3522199732 0.5522199732 1.689133435 +0 -5 1.66064128404692 0.5000000000 0.5552655755 1.654322043 +5 -5 1.62107850990899 0.6407527254 0.5592472746 1.608811013 +10 -5 1.58345210475999 0.7739486289 0.5640741234 1.553639879 +15 -5 1.54784990170785 0.8991901556 0.5696595691 1.489797943 +20 -5 1.51432874659809 1.016189440 0.5759219300 1.418218829 +25 -5 1.48292181004861 1.124748964 0.5827845716 1.339778478 +30 -5 1.45364114081521 1.224743281 0.5901761644 1.255292185 +35 -5 1.42648571192446 1.316105480 0.5980302641 1.165519414 +40 -5 1.40144484753948 1.398815038 0.6062851138 1.071166051 +45 -5 1.37850081975219 1.472887371 0.6148833842 0.9728873706 + +-45 0 2.01450578880405 -0.9244707040 0.7000000000 1.424470704 +-40 0 1.96762564670376 -0.7647653862 0.7000000000 1.507288693 +-35 0 1.91978712613727 -0.6011446584 0.7000000000 1.572597549 +-30 0 1.87166531771476 -0.4358326589 0.7000000000 1.620909713 +-25 0 1.82385011687609 -0.2707923661 0.7000000000 1.652969563 +-20 0 1.77684514651217 -0.1077168317 0.7000000000 1.669688272 +-15 0 1.73106896269447 0.05196638407 0.7000000000 1.672084218 +-10 0 1.68685995151306 0.2070798434 0.7000000000 1.661232758 +-5 0 1.64448372308346 0.3566737997 0.7000000000 1.638225966 +0 0 1.60414151091928 0.5000000000 0.7000000000 1.604141511 +5 0 1.56597882182365 0.6364840473 0.7000000000 1.560019800 +10 0 1.53009379283514 0.7656979988 0.7000000000 1.506848230 +15 0 1.49654554490030 0.8873344889 0.7000000000 1.445551992 +20 0 1.46536410034456 1.001184040 0.7000000000 1.376991832 +25 0 1.43655529356113 1.107114501 0.7000000000 1.301961249 +30 0 1.41010453953924 1.205052270 0.7000000000 1.221186353 +35 0 1.38598627410747 1.294969068 0.7000000000 1.135333490 +40 0 1.36416399343309 1.376867713 0.7000000000 1.045010247 +45 0 1.34459702732236 1.450773676 0.7000000000 0.9507736760 + +-45 5 1.96535849902712 -0.8870666125 0.8213526042 1.387066613 +-40 5 1.91581307158382 -0.7287045058 0.8281107881 1.464313009 +-35 5 1.86594892137422 -0.5675263881 0.8333839639 1.524585683 +-30 5 1.81641137219998 -0.4056099886 0.8372314378 1.568562512 +-25 5 1.76775199155951 -0.2447467686 0.8397294218 1.597114599 +-20 5 1.72042871645058 -0.08644276345 0.8409650811 1.611238250 +-15 5 1.67481148036369 0.06806648064 0.8410315366 1.611997840 +-10 5 1.63118967869822 0.2177924266 0.8400237407 1.600478680 +-5 5 1.58978156921100 0.3619646814 0.8380353186 1.577750912 +0 5 1.55074438965626 0.5000000000 0.8351562791 1.544843339 +5 5 1.51418299297891 0.6314713518 0.8314713518 1.502724427 +10 5 1.48015890783452 0.7560781612 0.8270590354 1.452291420 +15 5 1.44870078034109 0.8736196186 0.8219913402 1.394367399 +20 5 1.41981244730070 0.9839716561 0.8163337806 1.329701197 +25 5 1.39347652126813 1.087066026 0.8101453538 1.258967155 +30 5 1.36966074995152 1.182873095 0.8034790450 1.182770896 +35 5 1.34832450427193 1.271388740 0.7963825241 1.101657292 +40 5 1.32941861582832 1.352621097 0.7888984782 1.016114256 +45 5 1.31289283274724 1.426584038 0.7810655991 0.9265840380 + +-45 10 1.91596991610049 -0.8443859744 0.9370515198 1.344385974 +-40 10 1.86409125061301 -0.6874313404 0.9495248184 1.415125566 +-35 10 1.81259980123557 -0.5289863213 0.9591203912 1.469544764 +-30 10 1.76208941545447 -0.3709486586 0.9659940690 1.508527327 +-25 10 1.71304856362692 -0.2148946219 0.9703262707 1.533096464 +-20 10 1.66586577593823 -0.06209594161 0.9723098510 1.544345907 +-15 10 1.62083956016434 0.08645118570 0.9721404500 1.543385186 +-10 10 1.57819005207901 0.2299908259 0.9700091741 1.531298120 +-5 10 1.53807151761205 0.3679696603 0.9660974602 1.509113688 +0 10 1.50058422735083 0.5000000000 0.9605737165 1.477786981 +5 10 1.46578463170585 0.6258251262 0.9535913078 1.438187774 +10 10 1.43369470166002 0.7452877724 0.9452877724 1.391096084 +15 10 1.40431283283234 0.8583031419 0.9357854137 1.337205530 +20 10 1.37761985085848 0.9648360861 0.9251918862 1.277126650 +25 10 1.35358301961277 1.064881371 0.9136010954 1.211392009 +30 10 1.33216288499061 1.158448696 0.9010950314 1.140466595 +35 10 1.31331505795374 1.245549696 0.8877450893 1.064755312 +40 10 1.29699323829452 1.326188320 0.8736138197 0.9846128990 +45 10 1.28315119178300 1.400353628 0.8587566368 0.9003536281 + +-45 15 1.86618674850470 -0.7965268810 1.047403331 1.296526881 +-40 15 1.81239106109799 -0.6411901830 1.064415591 1.360017500 +-35 15 1.75974628763850 -0.4858802797 1.077267896 1.407982956 +-30 15 1.70876782215350 -0.3322698476 1.086257781 1.441533662 +-25 15 1.65985284588245 -0.1816717820 1.091701488 1.461849854 +-20 15 1.61329457872047 -0.03507838828 1.093916339 1.470115789 +-15 15 1.56929804653964 0.1067922763 1.093207724 1.467471203 +-10 15 1.52799635869538 0.2434480088 1.089860353 1.454978644 +-5 15 1.48946666850398 0.3745758699 1.084133132 1.433604367 +0 15 1.45374405643233 0.5000000000 1.076256649 1.404208929 +5 15 1.42083235964619 0.6196446127 1.066432359 1.367544181 +10 15 1.39071308094187 0.7335020029 1.054833236 1.324255664 +15 15 1.36335660018843 0.8416064568 1.041606457 1.274892653 +20 15 1.33872672524694 0.9440129831 1.026875412 1.219915645 +25 15 1.31678416653975 1.040779631 1.010742195 1.159705661 +30 15 1.29749188767075 1.131954419 0.9932910664 1.094577161 +35 15 1.28081472595082 1.217563656 0.9745908773 1.024787105 +40 15 1.26672320804835 1.297604954 0.9546987217 0.9505485699 +45 15 1.25519048759007 1.372039312 0.9336622294 0.8720393118 + +-45 20 1.81585767935793 -0.7434831391 1.152590849 1.243483139 +-40 20 1.76064897811686 -0.5901429495 1.172863496 1.299181777 +-35 20 1.70740084781849 -0.4385004133 1.187835672 1.340317495 +-30 20 1.65651478101288 -0.2899437984 1.197992371 1.368222794 +-25 20 1.60826670797575 -0.1454714835 1.203814173 1.384218063 +-20 20 1.56282989805385 -0.005756099396 1.205756099 1.389553463 +-15 20 1.52029710519819 0.1287907509 1.204234091 1.385371778 +-10 20 1.48070108215521 0.2579579959 1.199617725 1.372688418 +-5 20 1.44403357646969 0.3816816365 1.192227916 1.352385083 +0 20 1.41026033006866 0.5000000000 1.182337440 1.325211226 +5 20 1.37933169099556 0.6130169486 1.170172975 1.291789633 +10 20 1.35119110876581 0.7208717262 1.155918508 1.252625805 +15 20 1.32578532243064 0.8237155240 1.139720732 1.208122783 +20 20 1.30306716453175 0.9216928325 1.121692832 1.158591535 +25 20 1.28299851836090 1.014926382 1.101918932 1.104263189 +30 20 1.26555342813351 1.103505682 1.080458997 1.045302503 +35 20 1.25071824002638 1.187477452 1.057353093 0.9818195534 +40 20 1.23849153381662 1.266838155 1.032625891 0.9138821259 +45 20 1.22888222450673 1.341527584 1.006290992 0.8415275842 + +-45 25 1.76485135811104 -0.6851734595 1.252655460 1.185173460 +-40 25 1.70882718821118 -0.5343987217 1.274840016 1.232748393 +-35 25 1.65559758430164 -0.3870978488 1.290768448 1.266907025 +-30 25 1.60541155654490 -0.2443054496 1.301152108 1.289174855 +-25 25 1.55839344188728 -0.1066539246 1.306653925 1.300973540 +-20 25 1.51457491879879 0.02553621479 1.307868654 1.303578536 +-15 25 1.47392338287542 0.1521752013 1.305313888 1.298099821 +-10 25 1.43636473055144 0.2733356023 1.299428086 1.285477678 +-5 25 1.40180265682476 0.3891965187 1.290573793 1.266489586 +0 25 1.37013439609487 0.5000000000 1.279043817 1.241763472 +5 25 1.34125988365163 0.6060179646 1.265067367 1.211790880 +10 25 1.31508850987584 0.7075264998 1.248816725 1.176941266 +15 25 1.29154772751673 0.8047867573 1.230415478 1.137479664 +20 25 1.27058409883233 0.8980299248 1.209943904 1.093578231 +25 25 1.25216673407496 0.9874454955 1.187445496 1.045330239 +30 25 1.23628828186546 1.073171472 1.162932575 0.9927621115 +35 25 1.22296440484838 1.155285501 1.136391542 0.9358446823 +40 25 1.21223255922248 1.233796734 1.107788329 0.8745048939 +45 25 1.20415125969168 1.308639270 1.077074684 0.8086392702 + +-45 30 1.71306644059634 -0.6214652335 1.347478254 1.121465234 +-40 30 1.65692200346120 -0.4740363184 1.370194706 1.160811282 +-35 30 1.60440029960824 -0.3319014382 1.385937373 1.188078381 +-30 30 1.55555809635440 -0.1956667293 1.395666729 1.204930120 +-25 30 1.51034145992500 -0.06555276943 1.400228782 1.212831828 +-20 30 1.46862547048355 0.05849214974 1.400344842 1.213032849 +-15 30 1.43024604508572 0.1767005700 1.396613456 1.206569899 +-10 30 1.39502303938534 0.2894159903 1.389518610 1.194281266 +-5 30 1.36277631319606 0.3970410801 1.379440715 1.176825839 +0 30 1.33334029276515 0.5000000000 1.366670146 1.154706565 +5 30 1.30657032501474 0.5987125092 1.351418041 1.128289143 +10 30 1.28234737655172 0.6935751918 1.333826364 1.097819466 +15 30 1.26058409053200 0.7849482572 1.313978163 1.063441374 +20 30 1.24122491168933 0.8731451983 1.291904119 1.025208007 +25 30 1.22424949230738 0.9584246074 1.267590015 0.9830947432 +30 30 1.20967124820581 1.040981428 1.240981428 0.9370073197 +35 30 1.19753938602256 1.120939012 1.211990069 0.8867928129 +40 30 1.18793784144726 1.198339813 1.180499173 0.8322489807 +45 30 1.18098320036730 1.273134987 1.146369693 0.7731349872 + +-45 35 1.66045156799933 -0.5522070281 1.436763293 1.052207028 +-40 35 1.60498398699277 -0.4091351217 1.458650394 1.083465047 +-35 35 1.55391838355565 -0.2731409224 1.473140922 1.104159667 +-30 35 1.50708399938015 -0.1443312430 1.481441731 1.116014450 +-25 35 1.46423158750702 -0.02248313858 1.484560635 1.120468707 +-20 35 1.42507475529147 0.09283005953 1.483315323 1.118690217 +-15 35 1.38932124867525 0.2021466627 1.478353352 1.111603788 +-10 35 1.35669304179635 0.3060538065 1.470174741 1.099923521 +-5 35 1.32693692924590 0.4051463277 1.459152714 1.084182435 +0 35 1.29983421734722 0.5000000000 1.445554278 1.064761856 +5 35 1.27520408224829 0.5911556438 1.429555880 1.041913776 +10 35 1.25290543390947 0.6791092253 1.411256038 1.015778893 +15 35 1.23284009690837 0.7643057087 1.390686350 0.9864023334 +20 35 1.21495208184525 0.8471340468 1.367818007 0.9537429552 +25 35 1.19923062551472 0.9279225953 1.342568531 0.9176829671 +30 35 1.18571068722616 1.006932886 1.314805685 0.8780335143 +35 35 1.17447517767991 1.084351683 1.284351683 0.8345406909 +40 35 1.16565496776603 1.160279404 1.250986556 0.7868903523 +45 35 1.15942862115900 1.234715163 1.214453095 0.7347151626 + +-45 40 1.60702443752953 -0.4772643476 1.520022154 0.9772643476 +-40 40 1.55312494919090 -0.3397998254 1.539799825 1.000834459 +-35 40 1.50430754865874 -0.2110622431 1.552107459 1.015502125 +-30 40 1.46014840103996 -0.09060337562 1.558361208 1.022955054 +-25 40 1.42019684662182 0.02225363465 1.559683070 1.024530387 +-20 40 1.38401378839822 0.1282907008 1.556941328 1.021262906 +-15 40 1.35119293147224 0.2283170387 1.550792162 1.013934615 +-10 40 1.32137438847667 0.3231225514 1.541719181 1.003121858 +-5 40 1.29424809361808 0.4134533813 1.530064523 0.9892323779 +0 40 1.26955561002379 0.5000000000 1.516054616 0.9725360203 +5 40 1.24709020950435 0.5833931619 1.499819869 0.9531882021 +10 40 1.22669489675353 0.6642037755 1.481408080 0.9312458869 +15 40 1.20826350877740 0.7429442906 1.460795219 0.9066804358 +20 40 1.19173982475877 0.8200696256 1.437890848 0.8793840691 +25 40 1.17712004199647 0.8959766725 1.412542190 0.8491747146 +30 40 1.16445547640159 0.9710009850 1.384535496 0.8157976364 +35 40 1.15385574637639 1.045409252 1.353595795 0.7789251364 +40 40 1.14549400476897 1.119387169 1.319387169 0.7381568837 +45 40 1.13961094570499 1.193020667 1.281513386 0.6930206669 + +-45 45 1.55290165260234 -0.3965681872 1.596568187 0.8965681872 +-40 45 1.50154422669723 -0.2661983862 1.613119679 0.9131196794 +-35 45 1.45578737400963 -0.1459512099 1.622513933 0.9225139329 +-30 45 1.41494878291354 -0.03480037107 1.626301415 0.9263014146 +-25 45 1.37838938287216 0.06836341173 1.625647651 0.9256476507 +-20 45 1.34553884454381 0.1646330957 1.621412997 0.9214129969 +-15 45 1.31590257465669 0.2550358035 1.614218827 0.9142188273 +-10 45 1.28906143508023 0.3405121241 1.604500691 0.9045006912 +-5 45 1.26466797423081 0.4219120826 1.592548980 0.8925489797 +0 45 1.24243961031718 0.5000000000 1.578537474 0.8785374737 +5 45 1.22215480008394 0.5754629080 1.562544986 0.8625449857 +10 45 1.20364781055925 0.6489201581 1.544568185 0.8445681850 +15 45 1.18680712150819 0.7209322016 1.524530201 0.8245302014 +20 45 1.17157503841922 0.7920075444 1.502284134 0.8022841344 +25 45 1.15794904149624 0.8626066624 1.477612497 0.7776124970 +30 45 1.14598752881530 0.9331425724 1.450224942 0.7502249423 +35 45 1.13581561054025 1.003975705 1.419751898 0.7197518983 +40 45 1.12763623854023 1.075403009 1.385738603 0.6857386032 +45 45 1.12174037136469 1.147637105 1.347637105 0.6476371054 + + +### +x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = dsigma = dphi +# +# dpx dpy gridfn global_x global_y global_z +45 -45 1.77551183130972 1.525092234 -0.3250922338 1.025092234 +45 -40 1.70902042322109 1.539290187 -0.1720680130 1.039290187 +45 -35 1.64843219564837 1.544590505 -0.03143014581 1.044590505 +45 -30 1.59321318022623 1.543002857 0.09782201994 1.043002857 +45 -25 1.54279087437015 1.536050311 0.2168818059 1.036050311 +45 -20 1.49660175564700 1.524859531 0.3269816365 1.024859531 +45 -15 1.45412515310455 1.510248492 0.4293047323 1.010248492 +45 -10 1.41489373340363 1.492793924 0.5249436450 0.9927939236 +45 -5 1.37850083830054 1.472887384 0.6148833830 0.9728873837 +45 0 1.34459703859491 1.450773684 0.7000000000 0.9507736840 +45 5 1.31289283936071 1.426584043 0.7810655995 0.9265840427 +45 10 1.28315119970360 1.400353634 0.8587566378 0.9003536337 +45 15 1.25519049470684 1.372039317 0.9336622307 0.8720393168 +45 20 1.22888224248951 1.341527597 1.006290996 0.8415275965 +45 25 1.20415128697448 1.308639289 1.077074693 0.8086392885 +45 30 1.18098321649999 1.273134998 1.146369699 0.7731349977 +45 35 1.15942863928714 1.234715174 1.214453103 0.7347151741 +45 40 1.13961098284592 1.193020689 1.281513405 0.6930206895 +45 45 1.12174038936739 1.147637116 1.347637116 0.6476371158 + +50 -45 1.78935800360303 1.588145109 -0.3881451092 0.9130621598 +50 -40 1.71951810613972 1.608058289 -0.2297713014 0.9297713014 +50 -35 1.65513830522441 1.617322364 -0.08235754186 0.9375447835 +50 -30 1.59593851261161 1.618087289 0.05447200287 0.9381866316 +50 -25 1.54153926913006 1.612066843 0.1814347148 0.9331348777 +50 -20 1.49151823913334 1.600590373 0.2994178641 0.9235049761 +50 -15 1.44545683225983 1.584670207 0.4093634939 0.9101463709 +50 -10 1.40295537844204 1.565054097 0.5122022268 0.8936865001 +50 -5 1.36365550023001 1.542282527 0.6088120947 0.8745788837 +50 0 1.32723993168208 1.516724774 0.7000000000 0.8531333832 +50 5 1.29344337278118 1.488617306 0.7864928068 0.8295484167 +50 10 1.26204663947024 1.458083176 0.8689359136 0.8039272392 +50 15 1.23288393565092 1.425155594 0.9478946943 0.7762977176 +50 20 1.20584050753499 1.389788954 1.023856694 0.7466215832 +50 25 1.18085459314228 1.351868821 1.097232955 0.7148028133 +50 30 1.15792378075584 1.311221642 1.168359033 0.6806957805 +50 35 1.13710476027963 1.267617168 1.237491328 0.6441072827 +50 40 1.11851893918919 1.220774139 1.304801314 0.6048013139 +50 45 1.10236155228683 1.170368551 1.370368551 0.5625060037 + +55 -45 1.80133231507515 1.641481365 -0.4414813647 0.7992738563 +55 -40 1.72884829900421 1.667081242 -0.2792974394 0.8171990831 +55 -35 1.66132363247712 1.680478054 -0.1265796320 0.8265796320 +55 -30 1.59870841393034 1.683863469 0.01649610771 0.8289501249 +55 -25 1.54081340927073 1.679071140 0.1501900977 0.8255945006 +55 -20 1.48737041684789 1.667592597 0.2750310488 0.8175571382 +55 -15 1.43807771729962 1.650614114 0.3916938773 0.8056686763 +55 -10 1.39262051985969 1.629051317 0.5009177902 0.7905702432 +55 -5 1.35070267025416 1.603600388 0.6034474770 0.7727493108 +55 0 1.31204964863897 1.574768152 0.7000000000 0.7525607618 +55 5 1.27642696376430 1.542912940 0.7912430593 0.7302555020 +55 10 1.24363568453003 1.508263549 0.8777840673 0.7059937374 +55 15 1.21352416015914 1.470947543 0.9601646101 0.6798647890 +55 20 1.18598499151267 1.431003656 1.038857619 0.6518957784 +55 25 1.16095882348015 1.388396373 1.114266032 0.6220618372 +55 30 1.13843957945989 1.343028671 1.186722830 0.5902950303 +55 35 1.11847144116620 1.294746408 1.256487426 0.5564874262 +55 40 1.10115358541747 1.243347866 1.323742920 0.5204977793 +55 45 1.08664465920731 1.188592892 1.388592892 0.4821579338 + +60 -45 1.81148202457055 1.685893357 -0.4858933568 0.6846758488 +60 -40 1.73694655802636 1.716875119 -0.3210794637 0.7025631776 +60 -35 1.66686327064261 1.734332988 -0.1642892628 0.7126424828 +60 -30 1.60137575899169 1.740420329 -0.01615701093 0.7161570109 +60 -25 1.54047237265007 1.737027502 0.1231646024 0.7141981614 +60 -20 1.48403888503721 1.725763786 0.2538584677 0.7076950518 +60 -15 1.43189468735147 1.707960710 0.3763279032 0.6974164411 +60 -10 1.38382025286841 1.684690544 0.4911070934 0.6839814043 +60 -5 1.33959119079201 1.656804321 0.5987927360 0.6678812859 +60 0 1.29898237874428 1.624951739 0.7000000000 0.6494911894 +60 5 1.26179357625667 1.589622170 0.7953295874 0.6290936534 +60 10 1.22784646781845 1.551161158 0.8853480732 0.6068881776 +60 15 1.19700031891017 1.509801467 0.9705754875 0.5830091485 +60 20 1.16914847194868 1.465675409 1.051477105 0.5575329574 +60 25 1.14422470031453 1.418833371 1.128459037 0.5304886940 +60 30 1.12220766282696 1.369258318 1.201866524 0.5018665238 +60 35 1.10311598503181 1.316871110 1.271979309 0.4716207551 +60 40 1.08701350477797 1.261543113 1.339010545 0.4396771210 +60 45 1.07400985043391 1.203104491 1.403104491 0.4059375671 + +65 -45 1.81988192232135 1.722128846 -0.5221288461 0.5698880402 +65 -40 1.74378508609106 1.757967030 -0.3555596706 0.5865996596 +65 -35 1.67166345384676 1.779201053 -0.1957062199 0.5965012471 +65 -30 1.60381765706758 1.787894925 -0.04356648144 0.6005552663 +65 -25 1.54039192706403 1.785945567 0.1003537342 0.5996462658 +65 -20 1.48141493042944 1.775038087 0.2359240889 0.5945600242 +65 -15 1.42682288140346 1.756617914 0.3632902447 0.5859705568 +65 -10 1.37649330467459 1.731895618 0.4827835652 0.5744423605 +65 -5 1.33027626631666 1.701867488 0.5948502197 0.5604400139 +65 0 1.28799895040985 1.667323478 0.7000000000 0.5443318775 +65 5 1.24949659729765 1.628885311 0.7987646672 0.5264078658 +65 10 1.21461069952276 1.587018435 0.8916706786 0.5068850208 +65 15 1.18320808197118 1.542063799 0.9792201533 0.4859223297 +65 20 1.15517751206898 1.494249008 1.061877044 0.4636259265 +65 25 1.13043880817690 1.443709681 1.140059051 0.4400590513 +65 30 1.10894682194385 1.390504589 1.214133064 0.4152491095 +65 35 1.09068763668961 1.334623004 1.284409319 0.3891910982 +65 40 1.07568423814282 1.275998898 1.351140389 0.3618542290 +65 45 1.06399464659947 1.214518087 1.414518087 0.3331852559 + +70 -45 1.82661469671289 1.750849449 -0.5508494487 0.4552719669 +70 -40 1.74935675192700 1.790849250 -0.3831511295 0.4698307039 +70 -35 1.67565596596406 1.815397617 -0.2210513270 0.4787655787 +70 -30 1.60593438094865 1.826445167 -0.06582347429 0.4827865582 +70 -25 1.54046565867353 1.825862421 0.08174019948 0.4825744559 +70 -20 1.47940126346207 1.815374854 0.2212427063 0.4787572937 +70 -15 1.42278388056914 1.796512785 0.3526004462 0.4718920622 +70 -10 1.37058195865043 1.770602151 0.4759585590 0.4624613626 +70 -5 1.32271581916935 1.738767001 0.5916219306 0.4508743157 +70 0 1.27906408121147 1.701927079 0.7000000000 0.4374656804 +70 5 1.23949565365582 1.660828571 0.8015593403 0.4225070469 +70 10 1.20386941721227 1.616050785 0.8967898653 0.4062092657 +70 15 1.17205633018026 1.568037133 0.9861796874 0.3887337256 +70 20 1.14393738177496 1.517105030 1.070195956 0.3701959560 +70 25 1.11941531658106 1.463468866 1.149272911 0.3506739889 +70 30 1.09841786457917 1.407254422 1.223803585 0.3302136044 +70 35 1.08089670000279 1.348508866 1.294132304 0.3088319706 +70 40 1.06683380222003 1.287215993 1.360552650 0.2865231895 +70 45 1.05623877595435 1.223302891 1.423302891 0.2632607226 + +75 -45 1.83175911656186 1.772608401 -0.5726084010 0.3409943933 +75 -40 1.75366954728566 1.815952901 -0.4042155938 0.3526085171 +75 -35 1.67879703299254 1.843215000 -0.2405292684 0.3599133745 +75 -30 1.60765232084408 1.856231611 -0.08302068587 0.3634011650 +75 -25 1.54061000593028 1.856831431 0.06729911282 0.3635618862 +75 -20 1.47791938401574 1.846755051 0.2098212487 0.3608619282 +75 -15 1.41971279593450 1.827592071 0.3442727766 0.3557272234 +75 -10 1.36603699636815 1.800758765 0.4706411344 0.3485372606 +75 -5 1.31687367561424 1.767484457 0.5891094788 0.3396214368 +75 0 1.27214664443856 1.728799299 0.7000000000 0.3292557797 +75 5 1.23175441432378 1.685557586 0.8037228487 0.3176691976 +75 10 1.19557020536379 1.638437998 0.9007373349 0.3050435422 +75 15 1.16346667160754 1.587972957 0.9915214752 0.2915214752 +75 20 1.13531547266481 1.534557002 1.076547954 0.2772087132 +75 25 1.11100190699942 1.478471061 1.156268549 0.2621805307 +75 30 1.09042760881281 1.419895660 1.231102007 0.2464852992 +75 35 1.07351259192010 1.358923496 1.301424706 0.2301478570 +75 40 1.06020282548853 1.295575760 1.367567327 0.2131738825 +75 45 1.05046733689469 1.229808601 1.429808601 0.1955516252 + +80 -45 1.83538337933464 1.787840509 -0.5878405094 0.2270810287 +80 -40 1.75673722580680 1.833627718 -0.4190465264 0.2351545489 +80 -35 1.68105801921533 1.862898754 -0.2543119810 0.2403158222 +80 -30 1.60891672807664 1.877395966 -0.09523993150 0.2428720718 +80 -25 1.54075969264854 1.878906172 0.05700549224 0.2431383619 +80 -20 1.47690686783432 1.869170980 0.2016625177 0.2414217849 +80 -15 1.41755812850642 1.849817878 0.3383173896 0.2380093110 +80 -10 1.36282028913405 1.822327526 0.4668379799 0.2331620201 +80 -5 1.31272258975494 1.788007486 0.5873139464 0.2271104712 +80 0 1.26722411413723 1.747972132 0.7000000000 0.2200511581 +80 5 1.22624608458900 1.703159106 0.8052627822 0.2121494124 +80 10 1.18967245112851 1.654324338 0.9035385254 0.2035385254 +80 15 1.15737655017544 1.602069487 0.9952986290 0.1943245852 +80 20 1.12922152350873 1.546848229 1.081021595 0.1845875876 +80 25 1.10507781362172 1.488991745 1.161174425 0.1743859284 +80 30 1.08482568623820 1.428720858 1.236197237 0.1637585447 +80 35 1.06835990569072 1.366160696 1.306492249 0.1527275003 +80 40 1.05559855499558 1.301358035 1.372419232 0.1413010429 +80 45 1.04648012794758 1.234287733 1.434287733 0.1294747390 + +85 -45 1.83753661414704 1.796855351 -0.5968553513 0.1134601415 +85 -40 1.75857116856080 1.844128338 -0.4278575925 0.1175959919 +85 -35 1.68242000884391 1.874632194 -0.2625278242 0.1202647335 +85 -30 1.60968898954899 1.890047345 -0.1025442087 0.1216133844 +85 -25 1.54086707912687 1.892130412 0.05083892794 0.1217956292 +85 -20 1.47631692435197 1.882619504 0.1967676553 0.1209635325 +85 -15 1.41628024109300 1.863162789 0.3347416315 0.1192612906 +85 -10 1.36090155287762 1.835279367 0.4645542209 0.1168218072 +85 -5 1.31024018191755 1.800324951 0.5862363079 0.1137636921 +85 0 1.26427763336744 1.759466675 0.7000000000 0.1101890562 +85 5 1.22294941411125 1.713694756 0.8061845321 0.1061845321 +85 10 1.18614610371267 1.663814102 0.9052118266 0.1018205403 +85 15 1.15374107829736 1.610470132 0.9975495751 0.09715354774 +85 20 1.12559157609050 1.554153645 1.083680549 0.09222649352 +85 25 1.10155809553698 1.495227003 1.164081973 0.08707108038 +85 30 1.08150697896055 1.433935632 1.239207989 0.08170878030 +85 35 1.06531674741402 1.370423966 1.309477423 0.07615222953 +85 40 1.05288799202396 1.304753661 1.375268500 0.07040682230 +85 45 1.04414048844133 1.236910040 1.436910040 0.06447127455 + +90 -45 1.83825008594520 1.799839101 -0.5998391013 0.000000000 +90 -40 1.75918061246904 1.847610533 -0.4307795009 0.000000000 +90 -35 1.68287415724180 1.878529806 -0.2652569619 0.000000000 +90 -30 1.60994797306392 1.894255843 -0.1049739865 0.000000000 +90 -25 1.54090514527739 1.896534332 0.04878534600 0.000000000 +90 -20 1.47612254210174 1.887101460 0.1951363566 0.000000000 +90 -15 1.41585610339931 1.867611977 0.3335494753 0.000000000 +90 -10 1.36026318934742 1.839597735 0.4637927760 0.000000000 +90 -5 1.30941341665810 1.804430703 0.5858771011 0.000000000 +90 0 1.26329598219799 1.763295982 0.7000000000 0.000000000 +90 5 1.22185127399060 1.717201761 0.8064913553 0.000000000 +90 10 1.18497209974921 1.666969711 0.9057682457 0.000000000 +90 15 1.15253178868008 1.613260220 0.9982971770 0.000000000 +90 20 1.12438547495591 1.556576734 1.084562481 0.000000000 +90 25 1.10039016082894 1.497292172 1.165044977 0.000000000 +90 30 1.08040736290901 1.435660223 1.240203681 0.000000000 +90 35 1.06431002149766 1.371831730 1.310463149 0.000000000 +90 40 1.05199276366079 1.305873211 1.376207914 0.000000000 +90 45 1.04336904455482 1.237773327 1.437773327 0.000000000 + +95 -45 1.83753661414704 1.796855351 -0.5968553513 -0.1134601415 +95 -40 1.75857116856080 1.844128338 -0.4278575925 -0.1175959919 +95 -35 1.68242000884391 1.874632194 -0.2625278242 -0.1202647335 +95 -30 1.60968898954899 1.890047345 -0.1025442087 -0.1216133844 +95 -25 1.54086707912687 1.892130412 0.05083892794 -0.1217956292 +95 -20 1.47631692435197 1.882619504 0.1967676553 -0.1209635325 +95 -15 1.41628024109300 1.863162789 0.3347416315 -0.1192612906 +95 -10 1.36090155287762 1.835279367 0.4645542209 -0.1168218072 +95 -5 1.31024018191755 1.800324951 0.5862363079 -0.1137636921 +95 0 1.26427763336744 1.759466675 0.7000000000 -0.1101890562 +95 5 1.22294941411125 1.713694756 0.8061845321 -0.1061845321 +95 10 1.18614610371267 1.663814102 0.9052118266 -0.1018205403 +95 15 1.15374107829736 1.610470132 0.9975495751 -0.09715354774 +95 20 1.12559157609050 1.554153645 1.083680549 -0.09222649352 +95 25 1.10155809553698 1.495227003 1.164081973 -0.08707108038 +95 30 1.08150697896055 1.433935632 1.239207989 -0.08170878030 +95 35 1.06531674741402 1.370423966 1.309477423 -0.07615222953 +95 40 1.05288799202396 1.304753661 1.375268500 -0.07040682230 +95 45 1.04414048844133 1.236910040 1.436910040 -0.06447127455 + +100 -45 1.83538337933464 1.787840509 -0.5878405094 -0.2270810287 +100 -40 1.75673722580680 1.833627718 -0.4190465264 -0.2351545489 +100 -35 1.68105801921533 1.862898754 -0.2543119810 -0.2403158222 +100 -30 1.60891672807664 1.877395966 -0.09523993150 -0.2428720718 +100 -25 1.54075969264854 1.878906172 0.05700549224 -0.2431383619 +100 -20 1.47690686783432 1.869170980 0.2016625177 -0.2414217849 +100 -15 1.41755812850642 1.849817878 0.3383173896 -0.2380093110 +100 -10 1.36282028913405 1.822327526 0.4668379799 -0.2331620201 +100 -5 1.31272258975494 1.788007486 0.5873139464 -0.2271104712 +100 0 1.26722411413723 1.747972132 0.7000000000 -0.2200511581 +100 5 1.22624608458900 1.703159106 0.8052627822 -0.2121494124 +100 10 1.18967245112851 1.654324338 0.9035385254 -0.2035385254 +100 15 1.15737655017544 1.602069487 0.9952986290 -0.1943245852 +100 20 1.12922152350873 1.546848229 1.081021595 -0.1845875876 +100 25 1.10507781362172 1.488991745 1.161174425 -0.1743859284 +100 30 1.08482568623820 1.428720858 1.236197237 -0.1637585447 +100 35 1.06835990569072 1.366160696 1.306492249 -0.1527275003 +100 40 1.05559855499558 1.301358035 1.372419232 -0.1413010429 +100 45 1.04648012794758 1.234287733 1.434287733 -0.1294747390 + +105 -45 1.83175911656186 1.772608401 -0.5726084010 -0.3409943933 +105 -40 1.75366954728566 1.815952901 -0.4042155938 -0.3526085171 +105 -35 1.67879703299254 1.843215000 -0.2405292684 -0.3599133745 +105 -30 1.60765232084408 1.856231611 -0.08302068587 -0.3634011650 +105 -25 1.54061000593028 1.856831431 0.06729911282 -0.3635618862 +105 -20 1.47791938401574 1.846755051 0.2098212487 -0.3608619282 +105 -15 1.41971279593450 1.827592071 0.3442727766 -0.3557272234 +105 -10 1.36603699636815 1.800758765 0.4706411344 -0.3485372606 +105 -5 1.31687367561424 1.767484457 0.5891094788 -0.3396214368 +105 0 1.27214664443856 1.728799299 0.7000000000 -0.3292557797 +105 5 1.23175441432378 1.685557586 0.8037228487 -0.3176691976 +105 10 1.19557020536379 1.638437998 0.9007373349 -0.3050435422 +105 15 1.16346667160754 1.587972957 0.9915214752 -0.2915214752 +105 20 1.13531547266481 1.534557002 1.076547954 -0.2772087132 +105 25 1.11100190699942 1.478471061 1.156268549 -0.2621805307 +105 30 1.09042760881281 1.419895660 1.231102007 -0.2464852992 +105 35 1.07351259192010 1.358923496 1.301424706 -0.2301478570 +105 40 1.06020282548853 1.295575760 1.367567327 -0.2131738825 +105 45 1.05046733689469 1.229808601 1.429808601 -0.1955516252 + +110 -45 1.82661469671289 1.750849449 -0.5508494487 -0.4552719669 +110 -40 1.74935675192700 1.790849250 -0.3831511295 -0.4698307039 +110 -35 1.67565596596407 1.815397617 -0.2210513270 -0.4787655787 +110 -30 1.60593438094865 1.826445167 -0.06582347429 -0.4827865582 +110 -25 1.54046565867353 1.825862421 0.08174019948 -0.4825744559 +110 -20 1.47940126346207 1.815374854 0.2212427063 -0.4787572937 +110 -15 1.42278388056914 1.796512785 0.3526004462 -0.4718920622 +110 -10 1.37058195865043 1.770602151 0.4759585590 -0.4624613626 +110 -5 1.32271581916935 1.738767001 0.5916219306 -0.4508743157 +110 0 1.27906408121147 1.701927079 0.7000000000 -0.4374656804 +110 5 1.23949565365582 1.660828571 0.8015593403 -0.4225070469 +110 10 1.20386941721227 1.616050785 0.8967898653 -0.4062092657 +110 15 1.17205633018026 1.568037133 0.9861796874 -0.3887337256 +110 20 1.14393738177496 1.517105030 1.070195956 -0.3701959560 +110 25 1.11941531658106 1.463468866 1.149272911 -0.3506739889 +110 30 1.09841786457917 1.407254422 1.223803585 -0.3302136044 +110 35 1.08089670000279 1.348508866 1.294132304 -0.3088319706 +110 40 1.06683380222003 1.287215993 1.360552650 -0.2865231895 +110 45 1.05623877595435 1.223302891 1.423302891 -0.2632607226 + +115 -45 1.81988192232136 1.722128846 -0.5221288461 -0.5698880402 +115 -40 1.74378508609106 1.757967030 -0.3555596706 -0.5865996596 +115 -35 1.67166345384676 1.779201053 -0.1957062199 -0.5965012471 +115 -30 1.60381765706758 1.787894925 -0.04356648144 -0.6005552663 +115 -25 1.54039192706404 1.785945567 0.1003537342 -0.5996462658 +115 -20 1.48141493042944 1.775038087 0.2359240889 -0.5945600242 +115 -15 1.42682288140346 1.756617914 0.3632902447 -0.5859705568 +115 -10 1.37649330467459 1.731895618 0.4827835652 -0.5744423605 +115 -5 1.33027626631666 1.701867488 0.5948502197 -0.5604400139 +115 0 1.28799895040985 1.667323478 0.7000000000 -0.5443318775 +115 5 1.24949659729765 1.628885311 0.7987646672 -0.5264078658 +115 10 1.21461069952276 1.587018435 0.8916706786 -0.5068850208 +115 15 1.18320808197118 1.542063799 0.9792201533 -0.4859223297 +115 20 1.15517751206898 1.494249008 1.061877044 -0.4636259265 +115 25 1.13043880817690 1.443709681 1.140059051 -0.4400590513 +115 30 1.10894682194385 1.390504589 1.214133064 -0.4152491095 +115 35 1.09068763668961 1.334623004 1.284409319 -0.3891910982 +115 40 1.07568423814282 1.275998898 1.351140389 -0.3618542290 +115 45 1.06399464659947 1.214518087 1.414518087 -0.3331852559 + +120 -45 1.81148202457056 1.685893357 -0.4858933568 -0.6846758488 +120 -40 1.73694655802636 1.716875119 -0.3210794637 -0.7025631776 +120 -35 1.66686327064262 1.734332988 -0.1642892628 -0.7126424828 +120 -30 1.60137575899169 1.740420329 -0.01615701093 -0.7161570109 +120 -25 1.54047237265008 1.737027502 0.1231646024 -0.7141981614 +120 -20 1.48403888503721 1.725763786 0.2538584677 -0.7076950518 +120 -15 1.43189468735147 1.707960710 0.3763279032 -0.6974164411 +120 -10 1.38382025286841 1.684690544 0.4911070934 -0.6839814043 +120 -5 1.33959119079201 1.656804321 0.5987927360 -0.6678812859 +120 0 1.29898237874428 1.624951739 0.7000000000 -0.6494911894 +120 5 1.26179357625667 1.589622170 0.7953295874 -0.6290936534 +120 10 1.22784646781845 1.551161158 0.8853480732 -0.6068881776 +120 15 1.19700031891017 1.509801467 0.9705754875 -0.5830091485 +120 20 1.16914847194868 1.465675409 1.051477105 -0.5575329574 +120 25 1.14422470031453 1.418833371 1.128459037 -0.5304886940 +120 30 1.12220766282696 1.369258318 1.201866524 -0.5018665238 +120 35 1.10311598503181 1.316871110 1.271979309 -0.4716207551 +120 40 1.08701350477797 1.261543113 1.339010545 -0.4396771210 +120 45 1.07400985043391 1.203104491 1.403104491 -0.4059375671 + +125 -45 1.80133231507515 1.641481365 -0.4414813647 -0.7992738563 +125 -40 1.72884829900421 1.667081242 -0.2792974394 -0.8171990831 +125 -35 1.66132363247712 1.680478054 -0.1265796320 -0.8265796320 +125 -30 1.59870841393034 1.683863469 0.01649610771 -0.8289501249 +125 -25 1.54081340927073 1.679071140 0.1501900977 -0.8255945006 +125 -20 1.48737041684789 1.667592597 0.2750310488 -0.8175571382 +125 -15 1.43807771729962 1.650614114 0.3916938773 -0.8056686763 +125 -10 1.39262051985969 1.629051317 0.5009177902 -0.7905702432 +125 -5 1.35070267025416 1.603600388 0.6034474770 -0.7727493108 +125 0 1.31204964863897 1.574768152 0.7000000000 -0.7525607618 +125 5 1.27642696376430 1.542912940 0.7912430593 -0.7302555020 +125 10 1.24363568453003 1.508263549 0.8777840673 -0.7059937374 +125 15 1.21352416015914 1.470947543 0.9601646101 -0.6798647890 +125 20 1.18598499151267 1.431003656 1.038857619 -0.6518957784 +125 25 1.16095882348015 1.388396373 1.114266032 -0.6220618372 +125 30 1.13843957945989 1.343028671 1.186722830 -0.5902950303 +125 35 1.11847144116620 1.294746408 1.256487426 -0.5564874262 +125 40 1.10115358541747 1.243347866 1.323742920 -0.5204977793 +125 45 1.08664465920731 1.188592892 1.388592892 -0.4821579338 + +130 -45 1.78935800360303 1.588145109 -0.3881451092 -0.9130621598 +130 -40 1.71951810613973 1.608058289 -0.2297713014 -0.9297713014 +130 -35 1.65513830522441 1.617322364 -0.08235754186 -0.9375447835 +130 -30 1.59593851261161 1.618087289 0.05447200287 -0.9381866316 +130 -25 1.54153926913006 1.612066843 0.1814347148 -0.9331348777 +130 -20 1.49151823913334 1.600590373 0.2994178641 -0.9235049761 +130 -15 1.44545683225983 1.584670207 0.4093634939 -0.9101463709 +130 -10 1.40295537844204 1.565054097 0.5122022268 -0.8936865001 +130 -5 1.36365550023001 1.542282527 0.6088120947 -0.8745788837 +130 0 1.32723993168208 1.516724774 0.7000000000 -0.8531333832 +130 5 1.29344337278118 1.488617306 0.7864928068 -0.8295484167 +130 10 1.26204663947024 1.458083176 0.8689359136 -0.8039272392 +130 15 1.23288393565092 1.425155594 0.9478946943 -0.7762977176 +130 20 1.20584050753499 1.389788954 1.023856694 -0.7466215832 +130 25 1.18085459314228 1.351868821 1.097232955 -0.7148028133 +130 30 1.15792378075584 1.311221642 1.168359033 -0.6806957805 +130 35 1.13710476027963 1.267617168 1.237491328 -0.6441072827 +130 40 1.11851893918919 1.220774139 1.304801314 -0.6048013139 +130 45 1.10236155228683 1.170368551 1.370368551 -0.5625060037 + +135 -45 1.77551183130972 1.525092234 -0.3250922338 -1.025092234 +135 -40 1.70902042322110 1.539290187 -0.1720680130 -1.039290187 +135 -35 1.64843219564837 1.544590505 -0.03143014581 -1.044590505 +135 -30 1.59321318022624 1.543002857 0.09782201994 -1.043002857 +135 -25 1.54279087437016 1.536050311 0.2168818059 -1.036050311 +135 -20 1.49660175564700 1.524859531 0.3269816365 -1.024859531 +135 -15 1.45412515310455 1.510248492 0.4293047323 -1.010248492 +135 -10 1.41489373340363 1.492793924 0.5249436450 -0.9927939236 +135 -5 1.37850083830054 1.472887384 0.6148833830 -0.9728873837 +135 0 1.34459703859491 1.450773684 0.7000000000 -0.9507736840 +135 5 1.31289283936071 1.426584043 0.7810655995 -0.9265840427 +135 10 1.28315119970360 1.400353634 0.8587566378 -0.9003536337 +135 15 1.25519049470684 1.372039317 0.9336622307 -0.8720393168 +135 20 1.22888224248951 1.341527597 1.006290996 -0.8415275965 +135 25 1.20415128697447 1.308639289 1.077074693 -0.8086392885 +135 30 1.18098321649999 1.273134998 1.146369699 -0.7731349977 +135 35 1.15942863928714 1.234715174 1.214453103 -0.7347151741 +135 40 1.13961098284592 1.193020689 1.281513405 -0.6930206895 +135 45 1.12174038936739 1.147637116 1.347637116 -0.6476371158 + + +### +y patch +# N_rho = 19 +# 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 1.12174041779798 1.147637132 1.347637132 0.6476371322 +40 45 1.12763628378728 1.075403032 1.385738631 0.6857386307 +35 45 1.13581567788026 1.003975735 1.419751941 0.7197519409 +30 45 1.14598757708483 0.9331425906 1.450224974 0.7502249739 +25 45 1.15794906516049 0.8626066698 1.477612513 0.7776125129 +20 45 1.17157505492572 0.7920075485 1.502284146 0.8022841457 +15 45 1.18680712800357 0.7209322028 1.524530206 0.8245302059 +10 45 1.20364781833962 0.6489201590 1.544568191 0.8445681905 +5 45 1.22215480652325 0.5754629084 1.562544990 0.8625449903 +0 45 1.24243961972868 0.5000000000 1.578537480 0.8785374803 +-5 45 1.26466798942235 0.4219120817 1.592548990 0.8925489904 +-10 45 1.28906145833822 0.3405121212 1.604500708 0.9045007075 +-15 45 1.31590261854950 0.2550357953 1.614218858 0.9142188578 +-20 45 1.34553889908032 0.1646330821 1.621413034 0.9214130342 +-25 45 1.37838948032339 0.06836338121 1.625647716 0.9256477161 +-30 45 1.41494893506431 -0.03480042858 1.626301514 0.9263015142 +-35 45 1.45578752976157 -0.1459512790 1.622514032 0.9225140316 +-40 45 1.50154446603484 -0.2661985083 1.613119825 0.9131198249 +-45 45 1.55290197373989 -0.3965683726 1.596568373 0.8965683726 + +45 50 1.10236159679620 1.170368578 1.370368578 0.5625060264 +40 50 1.10612459184173 1.098099489 1.412787215 0.5980994894 +35 50 1.11256085802105 1.025889816 1.451048492 0.6302045125 +30 50 1.12139914311586 0.9535854841 1.485633104 0.6592244478 +25 50 1.13244323244583 0.8809476408 1.516944852 0.6854981241 +20 50 1.14556573013381 0.8076684917 1.545312234 0.7093011835 +15 50 1.16070183827726 0.7333811148 1.570990178 0.7308475371 +10 50 1.17784629664974 0.6576649658 1.594162454 0.7502913854 +5 50 1.19704963010584 0.5800469387 1.614940696 0.7677264009 +0 50 1.21841681816206 0.5000000000 1.633361433 0.7831832341 +-5 50 1.24210750945684 0.4169400322 1.649379776 0.7966242199 +-10 50 1.26833648596134 0.3302221358 1.662858115 0.8079338891 +-15 50 1.29737659288528 0.2391378340 1.673550857 0.8169061652 +-20 50 1.32955915458111 0.1429157673 1.681080866 0.8232245929 +-25 50 1.36527484439016 0.04072909248 1.684909640 0.8264373153 +-30 50 1.40497245707563 -0.06828571344 1.684299729 0.8259255395 +-35 50 1.44914808469405 -0.1849892421 1.678266021 0.8208626572 +-40 50 1.49832868037385 -0.3101705950 1.665523717 0.8101705950 +-45 50 1.55303726142702 -0.4444336444 1.644433644 0.7924739227 + +45 55 1.08664468696952 1.188592910 1.388592910 0.4821579462 +40 55 1.08842492814004 1.116532836 1.434755222 0.5144811455 +35 55 1.09317601691926 1.043901870 1.476772371 0.5439018696 +30 55 1.10066514038999 0.9705729331 1.515056229 0.5707085155 +25 55 1.11071940586005 0.8963390533 1.549951843 0.5951426874 +20 55 1.12322484264056 0.8209258957 1.581736652 0.6173986503 +15 55 1.13812359278247 0.7439996586 1.610619123 0.6376223743 +10 55 1.15541273737831 0.6651721468 1.636737793 0.6559108643 +5 55 1.17514245448173 0.5840029204 1.660157774 0.6723097110 +0 55 1.19741478009967 0.5000000000 1.680864765 0.6868089024 +-5 55 1.22238385762153 0.4126201139 1.698756669 0.6993369484 +-10 55 1.25025468379454 0.3212697129 1.713629828 0.7097512462 +-15 55 1.28128346027266 0.2253086318 1.725162142 0.7178262600 +-20 55 1.31577597065492 0.1240587228 1.732890170 0.7232374833 +-25 55 1.35408219622689 0.01682157261 1.736179481 0.7255406838 +-30 55 1.39659100793957 -0.09709161568 1.734193015 0.7241497452 +-35 55 1.44371193657431 -0.2183084969 1.725850848 0.7183084969 +-40 55 1.49585159697978 -0.3473176273 1.709793826 0.7070652493 +-45 55 1.55337598683425 -0.4843545949 1.684354595 0.6892525077 + +45 60 1.07400988451895 1.203104513 1.403104513 0.4059375800 +40 60 1.07402038899770 1.131372426 1.452440357 0.4344216429 +35 60 1.07722015041955 1.058551998 1.497694922 0.4605493780 +30 60 1.08342329760466 0.9845216284 1.539216078 0.4845216284 +25 60 1.09249129591280 0.9090872789 1.577290501 0.5065039067 +20 60 1.10433459588391 0.8319923311 1.612141433 0.5266251019 +15 60 1.11891227153782 0.7529241041 1.643925607 0.5449757033 +10 60 1.13623168972831 0.6715184756 1.672729612 0.5616057036 +5 60 1.15634904095959 0.5873631623 1.698565515 0.5765220686 +0 60 1.17936698763100 0.5000000000 1.721361772 0.5896834938 +-5 60 1.20543484636109 0.4089283630 1.740953575 0.6009948265 +-10 60 1.23474604478684 0.3136104095 1.757067896 0.6102984343 +-15 60 1.26753588575235 0.2134803268 1.769305978 0.6173640941 +-20 60 1.30407813959695 0.1079594508 1.777122556 0.6218769979 +-25 60 1.34467452506081 -0.003518192284 1.779798248 0.6234218091 +-30 60 1.38964578891119 -0.1214684897 1.776415000 0.6214684897 +-35 60 1.43931073264454 -0.2463004518 1.765827503 0.6153557956 +-40 60 1.49395797400356 -0.3782364661 1.746641464 0.6042787307 +-45 60 1.55380991386573 -0.5172073637 1.717207364 0.5872849453 + +45 65 1.06399466476732 1.214518099 1.414518099 0.3331852615 +40 65 1.06248415128417 1.143150024 1.466476352 0.3574137928 +35 65 1.06431841071373 1.070280231 1.514444575 0.3797817425 +30 65 1.06935897936957 0.9957792366 1.558714827 0.4004253001 +25 65 1.07750571277789 0.9194531701 1.599520226 0.4194531701 +20 65 1.08869915612129 0.8410516813 1.637031793 0.4369451012 +15 65 1.10292131204939 0.7602736261 1.671354396 0.4529499938 +10 65 1.12019624993723 0.6767716812 1.702522022 0.4674836964 +5 65 1.14059037430689 0.5901563309 1.730491578 0.4805261143 +0 65 1.16420995434016 0.5000000000 1.755132547 0.4920163872 +-5 65 1.19120071994982 0.4058432469 1.776216613 0.5018480483 +-10 65 1.22174394603221 0.3072036651 1.793402349 0.5098618889 +-15 65 1.25605196883957 0.2035897331 1.806218176 0.5158380070 +-20 65 1.29436327012973 0.09452088572 1.814044711 0.5194875801 +-25 65 1.33692837936379 -0.02044164619 1.816090712 0.5204416462 +-30 65 1.38399817195394 -0.1416531496 1.811375856 0.5182430727 +-35 65 1.43580357841679 -0.2693284152 1.798714843 0.5123391453 +-40 65 1.49252530076132 -0.4034654141 1.776708153 0.5020772573 +-45 65 1.55426185887851 -0.5437535693 1.743753569 0.4867102826 + +45 70 1.05623878854070 1.223302899 1.423302899 0.2632607258 +40 70 1.05347528539773 1.152281442 1.477358752 0.2829354472 +35 70 1.05416284538519 1.079437610 1.527522667 0.3011936191 +30 70 1.05820652588544 1.004627965 1.574041274 0.3181250072 +25 70 1.06554379258976 0.9276517876 1.617102218 0.3337979091 +20 70 1.07614626199248 0.8482576936 1.656830149 0.3482576936 +15 70 1.09002131283758 0.7661492886 1.693282668 0.3615253252 +10 70 1.10721209738224 0.6809898286 1.726444324 0.3735951812 +5 70 1.12779754747165 0.5924072420 1.756219610 0.3844324987 +0 70 1.15188930027797 0.5000000000 1.782421875 0.3939693436 +-5 70 1.17963072170032 0.4033457540 1.804763087 0.4021008797 +-10 70 1.21119150150005 0.3020132342 1.822838746 0.4086798813 +-15 70 1.24676123479321 0.1955796994 1.836112029 0.4135109613 +-20 70 1.28654345429259 0.08365449755 1.843899867 0.4163455024 +-25 70 1.33073915143365 -0.03408689617 1.845353045 0.4168744161 +-30 70 1.37953380615771 -0.1578596142 1.839446276 0.4147245280 +-35 70 1.43307888384850 -0.2877149214 1.824973495 0.4094568665 +-40 70 1.49146241295151 -0.4234704101 1.800549179 0.4005671425 +-45 70 1.55468134722700 -0.5646319169 1.764631917 0.3874943282 + +45 75 1.05046734312237 1.229808605 1.429808605 0.1955516264 +40 75 1.04672750597108 1.159082457 1.485463886 0.2104644140 +35 75 1.04650850758386 1.086295938 1.537317375 0.2243585145 +30 75 1.04975164244034 1.011290433 1.585581007 0.2372907157 +25 75 1.05642686651421 0.9338555592 1.630406249 0.2493016031 +20 75 1.06653393165986 0.8537353095 1.671879775 0.2604144010 +15 75 1.08010429347760 0.7706339637 1.710019703 0.2706339637 +10 75 1.09719949442220 0.6842208023 1.744768087 0.2799447651 +5 75 1.11791122593150 0.5941364087 1.775984075 0.2883090639 +0 75 1.14235723078712 0.5000000000 1.803432352 0.2956638076 +-5 75 1.17067957003239 0.4014201057 1.826773347 0.3019180085 +-10 75 1.20303801081877 0.2980088137 1.845548943 0.3069489141 +-15 75 1.23960169663297 0.1894019192 1.859167818 0.3105980808 +-20 75 1.28054242617207 0.07528489430 1.866895163 0.3126686165 +-25 75 1.32601796178898 -0.04457178495 1.867837962 0.3129212387 +-30 75 1.37615798845959 -0.1702694096 1.860940672 0.3110731156 +-35 75 1.43104696667775 -0.3017297685 1.844988771 0.3067988165 +-40 75 1.49069945423696 -0.4386338410 1.818620252 0.2997333932 +-45 75 1.55503419900040 -0.5803547080 1.780354708 0.2894801716 + +45 80 1.04648013139680 1.234287736 1.434287736 0.1294747394 +40 80 1.04204314830324 1.163784400 1.491067443 0.1394865338 +35 80 1.04116985061369 1.091056853 1.544116667 0.1488405432 +30 80 1.04382854155038 1.015933562 1.593623142 0.1575698705 +25 80 1.05001421830414 0.9381951181 1.639712463 0.1656966614 +20 80 1.05974874521968 0.8575801108 1.682443280 0.1732312573 +15 80 1.07308305825733 0.7737915814 1.721804092 0.1801716305 +10 80 1.09009390382655 0.6865018438 1.757704516 0.1865018438 +5 80 1.11088381650623 0.5953599140 1.789968805 0.1921909084 +0 80 1.13557604908039 0.5000000000 1.818324097 0.1971907115 +-5 80 1.16431214707330 0.4000537189 1.842391221 0.2014343947 +-10 80 1.19724418016502 0.2951660436 1.861671093 0.2048339564 +-15 80 1.23452459690175 0.1850174466 1.875530893 0.2072778130 +-20 80 1.27630051733952 0.06935105371 1.883198256 0.2086297760 +-25 80 1.32269612780512 -0.05199155953 1.883749719 0.2087270140 +-30 80 1.37379847918463 -0.1790279381 1.876110889 0.2073800820 +-35 80 1.42964187066706 -0.3115867211 1.859065958 0.2043746008 +-40 80 1.49018721216409 -0.4492534222 1.831276176 0.1994745125 +-45 80 1.55529867458637 -0.5913123983 1.791312398 0.1924278202 + +45 85 1.04414049001016 1.236910041 1.436910041 0.06447127464 +40 85 1.03928579721125 1.166544748 1.494357099 0.06949724092 +35 85 1.03801777905942 1.093859434 1.548119167 0.07420081244 +30 85 1.04032128936615 1.018673999 1.598369720 0.07859716611 +25 85 1.04620687759604 0.9407627286 1.645218722 0.08269592271 +20 85 1.05571057010596 0.8598602012 1.688707777 0.08650072204 +15 85 1.06889591532165 0.7756680259 1.728807079 0.09000895634 +10 85 1.08584965349221 0.6878598177 1.765405969 0.09321094434 +5 85 1.10668155540725 0.5960893899 1.798306753 0.09608938995 +0 85 1.13151870011622 0.5000000000 1.827212930 0.09861835274 +-5 85 1.16050265124834 0.3992375076 1.851720558 0.1007624924 +-10 85 1.19378011933404 0.2934674336 1.871304389 0.1024758556 +-15 85 1.23149318350338 0.1823981737 1.885306152 0.1037008511 +-20 85 1.27377320349641 0.06580876015 1.892930627 0.1043679063 +-25 85 1.32072311556543 -0.05641531006 1.893236483 0.1043946652 +-30 85 1.37240329512579 -0.1842404487 1.885139222 0.1036862466 +-35 85 1.42881710360798 -0.3174392903 1.867424293 0.1021363912 +-40 85 1.48989278231896 -0.4555410191 1.838769442 0.09962941658 +-45 85 1.55546216525021 -0.5977791775 1.797779177 0.09604323308 + +45 90 1.04336904555150 1.237773327 1.437773327 0.000000000 +40 90 1.03837519298406 1.167454708 1.495441546 0.000000000 +35 90 1.03697521900163 1.094784551 1.549440371 0.000000000 +30 90 1.03915954909403 1.019579775 1.599938568 0.000000000 +25 90 1.04494401997422 0.9416124253 1.647040902 0.000000000 +20 90 1.05436953804365 0.8606156205 1.690783274 0.000000000 +15 90 1.06750397903898 0.7762903605 1.731129663 0.000000000 +10 90 1.08443756960869 0.6883106078 1.767962526 0.000000000 +5 90 1.10528261667159 0.5963317274 1.801076683 0.000000000 +0 90 1.13016756595902 0.5000000000 1.830167566 0.000000000 +-5 90 1.15923404553880 0.3989660957 1.854822810 0.000000000 +-10 90 1.19262686026168 0.2929025191 1.874508178 0.000000000 +-15 90 1.23048456150734 0.1815271608 1.888556817 0.000000000 +-20 90 1.27293309804095 0.06463123936 1.896165839 0.000000000 +-25 90 1.32006813718416 -0.05788490152 1.896388032 0.000000000 +-30 90 1.37194098405629 -0.1859704920 1.888135745 0.000000000 +-35 90 1.42854456426013 -0.3193795003 1.870195200 0.000000000 +-40 90 1.48979612109971 -0.4576224876 1.841250040 0.000000000 +-45 90 1.55551680285876 -0.5999164796 1.799916480 0.000000000 + +45 95 1.04414049001016 1.236910041 1.436910041 -0.06447127464 +40 95 1.03928579721125 1.166544748 1.494357099 -0.06949724092 +35 95 1.03801777905942 1.093859434 1.548119167 -0.07420081244 +30 95 1.04032128936615 1.018673999 1.598369720 -0.07859716611 +25 95 1.04620687759604 0.9407627286 1.645218722 -0.08269592271 +20 95 1.05571057010596 0.8598602012 1.688707777 -0.08650072204 +15 95 1.06889591532165 0.7756680259 1.728807079 -0.09000895634 +10 95 1.08584965349221 0.6878598177 1.765405969 -0.09321094434 +5 95 1.10668155540725 0.5960893899 1.798306753 -0.09608938995 +0 95 1.13151870011622 0.5000000000 1.827212930 -0.09861835274 +-5 95 1.16050265124834 0.3992375076 1.851720558 -0.1007624924 +-10 95 1.19378011933404 0.2934674336 1.871304389 -0.1024758556 +-15 95 1.23149318350338 0.1823981737 1.885306152 -0.1037008511 +-20 95 1.27377320349641 0.06580876015 1.892930627 -0.1043679063 +-25 95 1.32072311556543 -0.05641531006 1.893236483 -0.1043946652 +-30 95 1.37240329512578 -0.1842404487 1.885139222 -0.1036862466 +-35 95 1.42881710360798 -0.3174392903 1.867424293 -0.1021363912 +-40 95 1.48989278231896 -0.4555410191 1.838769442 -0.09962941658 +-45 95 1.55546216525021 -0.5977791775 1.797779177 -0.09604323308 + +45 100 1.04648013139680 1.234287736 1.434287736 -0.1294747394 +40 100 1.04204314830324 1.163784400 1.491067443 -0.1394865338 +35 100 1.04116985061369 1.091056853 1.544116667 -0.1488405432 +30 100 1.04382854155038 1.015933562 1.593623142 -0.1575698705 +25 100 1.05001421830414 0.9381951181 1.639712463 -0.1656966614 +20 100 1.05974874521968 0.8575801108 1.682443280 -0.1732312573 +15 100 1.07308305825733 0.7737915814 1.721804092 -0.1801716305 +10 100 1.09009390382655 0.6865018438 1.757704516 -0.1865018438 +5 100 1.11088381650623 0.5953599140 1.789968805 -0.1921909084 +0 100 1.13557604908039 0.5000000000 1.818324097 -0.1971907115 +-5 100 1.16431214707330 0.4000537189 1.842391221 -0.2014343947 +-10 100 1.19724418016501 0.2951660436 1.861671093 -0.2048339564 +-15 100 1.23452459690175 0.1850174466 1.875530893 -0.2072778130 +-20 100 1.27630051733952 0.06935105371 1.883198256 -0.2086297760 +-25 100 1.32269612780512 -0.05199155953 1.883749719 -0.2087270140 +-30 100 1.37379847918463 -0.1790279381 1.876110889 -0.2073800820 +-35 100 1.42964187066706 -0.3115867211 1.859065958 -0.2043746008 +-40 100 1.49018721216409 -0.4492534222 1.831276176 -0.1994745125 +-45 100 1.55529867458637 -0.5913123983 1.791312398 -0.1924278202 + +45 105 1.05046734312237 1.229808605 1.429808605 -0.1955516264 +40 105 1.04672750597108 1.159082457 1.485463886 -0.2104644140 +35 105 1.04650850758386 1.086295938 1.537317375 -0.2243585145 +30 105 1.04975164244034 1.011290433 1.585581007 -0.2372907157 +25 105 1.05642686651421 0.9338555592 1.630406249 -0.2493016031 +20 105 1.06653393165986 0.8537353095 1.671879775 -0.2604144010 +15 105 1.08010429347760 0.7706339637 1.710019703 -0.2706339637 +10 105 1.09719949442220 0.6842208023 1.744768087 -0.2799447651 +5 105 1.11791122593150 0.5941364087 1.775984075 -0.2883090639 +0 105 1.14235723078712 0.5000000000 1.803432352 -0.2956638076 +-5 105 1.17067957003238 0.4014201057 1.826773347 -0.3019180085 +-10 105 1.20303801081877 0.2980088137 1.845548943 -0.3069489141 +-15 105 1.23960169663297 0.1894019192 1.859167818 -0.3105980808 +-20 105 1.28054242617207 0.07528489430 1.866895163 -0.3126686165 +-25 105 1.32601796178897 -0.04457178495 1.867837962 -0.3129212387 +-30 105 1.37615798845958 -0.1702694096 1.860940672 -0.3110731156 +-35 105 1.43104696667775 -0.3017297685 1.844988771 -0.3067988165 +-40 105 1.49069945423696 -0.4386338410 1.818620252 -0.2997333932 +-45 105 1.55503419900040 -0.5803547080 1.780354708 -0.2894801716 + +45 110 1.05623878854070 1.223302899 1.423302899 -0.2632607258 +40 110 1.05347528539773 1.152281442 1.477358752 -0.2829354472 +35 110 1.05416284538519 1.079437610 1.527522667 -0.3011936191 +30 110 1.05820652588544 1.004627965 1.574041274 -0.3181250072 +25 110 1.06554379258976 0.9276517876 1.617102218 -0.3337979091 +20 110 1.07614626199248 0.8482576936 1.656830149 -0.3482576936 +15 110 1.09002131283758 0.7661492886 1.693282668 -0.3615253252 +10 110 1.10721209738224 0.6809898286 1.726444324 -0.3735951812 +5 110 1.12779754747164 0.5924072420 1.756219610 -0.3844324987 +0 110 1.15188930027797 0.5000000000 1.782421875 -0.3939693436 +-5 110 1.17963072170032 0.4033457540 1.804763087 -0.4021008797 +-10 110 1.21119150150004 0.3020132342 1.822838746 -0.4086798813 +-15 110 1.24676123479321 0.1955796994 1.836112029 -0.4135109613 +-20 110 1.28654345429259 0.08365449755 1.843899867 -0.4163455024 +-25 110 1.33073915143364 -0.03408689617 1.845353045 -0.4168744161 +-30 110 1.37953380615771 -0.1578596142 1.839446276 -0.4147245280 +-35 110 1.43307888384850 -0.2877149214 1.824973495 -0.4094568665 +-40 110 1.49146241295151 -0.4234704101 1.800549179 -0.4005671425 +-45 110 1.55468134722700 -0.5646319169 1.764631917 -0.3874943282 + +45 115 1.06399466476732 1.214518099 1.414518099 -0.3331852615 +40 115 1.06248415128417 1.143150024 1.466476352 -0.3574137928 +35 115 1.06431841071373 1.070280231 1.514444575 -0.3797817425 +30 115 1.06935897936957 0.9957792366 1.558714827 -0.4004253001 +25 115 1.07750571277789 0.9194531701 1.599520226 -0.4194531701 +20 115 1.08869915612129 0.8410516813 1.637031793 -0.4369451012 +15 115 1.10292131204939 0.7602736261 1.671354396 -0.4529499938 +10 115 1.12019624993723 0.6767716812 1.702522022 -0.4674836964 +5 115 1.14059037430689 0.5901563309 1.730491578 -0.4805261143 +0 115 1.16420995434016 0.5000000000 1.755132547 -0.4920163872 +-5 115 1.19120071994982 0.4058432469 1.776216613 -0.5018480483 +-10 115 1.22174394603221 0.3072036651 1.793402349 -0.5098618889 +-15 115 1.25605196883957 0.2035897331 1.806218176 -0.5158380070 +-20 115 1.29436327012972 0.09452088572 1.814044711 -0.5194875801 +-25 115 1.33692837936379 -0.02044164619 1.816090712 -0.5204416462 +-30 115 1.38399817195394 -0.1416531496 1.811375856 -0.5182430727 +-35 115 1.43580357841679 -0.2693284152 1.798714843 -0.5123391453 +-40 115 1.49252530076132 -0.4034654141 1.776708153 -0.5020772573 +-45 115 1.55426185887851 -0.5437535693 1.743753569 -0.4867102826 + +45 120 1.07400988451895 1.203104513 1.403104513 -0.4059375800 +40 120 1.07402038899770 1.131372426 1.452440357 -0.4344216429 +35 120 1.07722015041955 1.058551998 1.497694922 -0.4605493780 +30 120 1.08342329760466 0.9845216284 1.539216078 -0.4845216284 +25 120 1.09249129591280 0.9090872789 1.577290501 -0.5065039067 +20 120 1.10433459588391 0.8319923311 1.612141433 -0.5266251019 +15 120 1.11891227153782 0.7529241041 1.643925607 -0.5449757033 +10 120 1.13623168972831 0.6715184756 1.672729612 -0.5616057036 +5 120 1.15634904095959 0.5873631623 1.698565515 -0.5765220686 +0 120 1.17936698763100 0.5000000000 1.721361772 -0.5896834938 +-5 120 1.20543484636109 0.4089283630 1.740953575 -0.6009948265 +-10 120 1.23474604478684 0.3136104095 1.757067896 -0.6102984343 +-15 120 1.26753588575234 0.2134803268 1.769305978 -0.6173640941 +-20 120 1.30407813959695 0.1079594508 1.777122556 -0.6218769979 +-25 120 1.34467452506081 -0.003518192284 1.779798248 -0.6234218091 +-30 120 1.38964578891118 -0.1214684897 1.776415000 -0.6214684897 +-35 120 1.43931073264454 -0.2463004518 1.765827503 -0.6153557956 +-40 120 1.49395797400356 -0.3782364661 1.746641464 -0.6042787307 +-45 120 1.55380991386573 -0.5172073637 1.717207364 -0.5872849453 + +45 125 1.08664468696952 1.188592910 1.388592910 -0.4821579462 +40 125 1.08842492814004 1.116532836 1.434755222 -0.5144811455 +35 125 1.09317601691926 1.043901870 1.476772371 -0.5439018696 +30 125 1.10066514038999 0.9705729331 1.515056229 -0.5707085155 +25 125 1.11071940586005 0.8963390533 1.549951843 -0.5951426874 +20 125 1.12322484264056 0.8209258957 1.581736652 -0.6173986503 +15 125 1.13812359278247 0.7439996586 1.610619123 -0.6376223743 +10 125 1.15541273737831 0.6651721468 1.636737793 -0.6559108643 +5 125 1.17514245448173 0.5840029204 1.660157774 -0.6723097110 +0 125 1.19741478009966 0.5000000000 1.680864765 -0.6868089024 +-5 125 1.22238385762152 0.4126201139 1.698756669 -0.6993369484 +-10 125 1.25025468379454 0.3212697129 1.713629828 -0.7097512462 +-15 125 1.28128346027266 0.2253086318 1.725162142 -0.7178262600 +-20 125 1.31577597065492 0.1240587228 1.732890170 -0.7232374833 +-25 125 1.35408219622689 0.01682157261 1.736179481 -0.7255406838 +-30 125 1.39659100793957 -0.09709161568 1.734193015 -0.7241497452 +-35 125 1.44371193657431 -0.2183084969 1.725850848 -0.7183084969 +-40 125 1.49585159697978 -0.3473176273 1.709793826 -0.7070652493 +-45 125 1.55337598683425 -0.4843545949 1.684354595 -0.6892525077 + +45 130 1.10236159679620 1.170368578 1.370368578 -0.5625060264 +40 130 1.10612459184173 1.098099489 1.412787215 -0.5980994894 +35 130 1.11256085802104 1.025889816 1.451048492 -0.6302045125 +30 130 1.12139914311586 0.9535854841 1.485633104 -0.6592244478 +25 130 1.13244323244583 0.8809476408 1.516944852 -0.6854981241 +20 130 1.14556573013381 0.8076684917 1.545312234 -0.7093011835 +15 130 1.16070183827726 0.7333811148 1.570990178 -0.7308475371 +10 130 1.17784629664974 0.6576649658 1.594162454 -0.7502913854 +5 130 1.19704963010584 0.5800469387 1.614940696 -0.7677264009 +0 130 1.21841681816206 0.5000000000 1.633361433 -0.7831832341 +-5 130 1.24210750945683 0.4169400322 1.649379776 -0.7966242199 +-10 130 1.26833648596134 0.3302221358 1.662858115 -0.8079338891 +-15 130 1.29737659288527 0.2391378340 1.673550857 -0.8169061652 +-20 130 1.32955915458111 0.1429157673 1.681080866 -0.8232245929 +-25 130 1.36527484439016 0.04072909248 1.684909640 -0.8264373153 +-30 130 1.40497245707562 -0.06828571344 1.684299729 -0.8259255395 +-35 130 1.44914808469405 -0.1849892421 1.678266021 -0.8208626572 +-40 130 1.49832868037385 -0.3101705950 1.665523717 -0.8101705950 +-45 130 1.55303726142702 -0.4444336444 1.644433644 -0.7924739227 + +45 135 1.12174041779798 1.147637132 1.347637132 -0.6476371322 +40 135 1.12763628378728 1.075403032 1.385738631 -0.6857386307 +35 135 1.13581567788026 1.003975735 1.419751941 -0.7197519409 +30 135 1.14598757708482 0.9331425906 1.450224974 -0.7502249739 +25 135 1.15794906516048 0.8626066698 1.477612513 -0.7776125129 +20 135 1.17157505492572 0.7920075485 1.502284146 -0.8022841457 +15 135 1.18680712800357 0.7209322028 1.524530206 -0.8245302059 +10 135 1.20364781833962 0.6489201590 1.544568191 -0.8445681905 +5 135 1.22215480652325 0.5754629084 1.562544990 -0.8625449903 +0 135 1.24243961972868 0.5000000000 1.578537480 -0.8785374803 +-5 135 1.26466798942235 0.4219120817 1.592548990 -0.8925489904 +-10 135 1.28906145833822 0.3405121212 1.604500708 -0.9045007075 +-15 135 1.31590261854950 0.2550357953 1.614218858 -0.9142188578 +-20 135 1.34553889908032 0.1646330821 1.621413034 -0.9214130342 +-25 135 1.37838948032338 0.06836338121 1.625647716 -0.9256477161 +-30 135 1.41494893506431 -0.03480042858 1.626301514 -0.9263015142 +-35 135 1.45578752976157 -0.1459512790 1.622514032 -0.9225140316 +-40 135 1.50154446603484 -0.2661985083 1.613119825 -0.9131198249 +-45 135 1.55290197373989 -0.3965683726 1.596568373 -0.8965683726 + + +### -x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = 180 - dsigma = 180 - dphi +# +# dpx dpy gridfn global_x global_y global_z +-135 45 1.55290146878499 -0.3965680810 1.596568081 -0.8965680810 +-135 40 1.60702414159176 -0.4772641677 1.520022003 -0.9772641677 +-135 35 1.66045119463405 -0.5522067915 1.436763127 -1.052206792 +-135 30 1.71306614736455 -0.6214650415 1.347478144 -1.121465042 +-135 25 1.76485113475635 -0.6851733095 1.252655390 -1.185173310 +-135 20 1.81585748950795 -0.7434830091 1.152590802 -1.243483009 +-135 15 1.86618667049758 -0.7965268268 1.047403316 -1.296526827 +-135 10 1.91596984738346 -0.8443859262 0.9370515113 -1.344385926 +-135 5 1.96535845352890 -0.8870665804 0.8213526013 -1.387066580 +-135 -2.84217e-14 2.01450575528091 -0.9244706803 0.7000000000 -1.424470680 +-135 -5 2.06356416822640 -0.9563760057 0.5725836097 -1.456376006 +-135 -10 2.11267147991387 -0.9824063166 0.4386117700 -1.482406317 +-135 -15 2.16193548889021 -1.001997310 0.2975410337 -1.501997310 +-135 -20 2.21142352800926 -1.014363103 0.1488169065 -1.514363103 +-135 -25 2.26113615460047 -1.018450008 -0.008064867243 -1.518450008 +-135 -30 2.31097638121263 -1.012889171 -0.1734669701 -1.512889171 +-135 -35 2.36070954661549 -0.9959515978 -0.3474765856 -1.495951598 +-135 -40 2.40990806704540 -0.9655142635 -0.5297124780 -1.465514264 +-135 -45 2.45787910897111 -0.9190571652 -0.7190571652 -1.419057165 + +-130 45 1.55303673368572 -0.4444333234 1.644433323 -0.7924736534 +-130 40 1.61053559447478 -0.5378299062 1.570842692 -0.8708426915 +-130 35 1.66805237186801 -0.6260401705 1.488461816 -0.9448598917 +-130 30 1.72533722363217 -0.7087418176 1.397867414 -1.014254813 +-130 25 1.78223649340681 -0.7857058852 1.299534500 -1.078835334 +-130 20 1.83866785169227 -0.8567518544 1.193817290 -1.138449981 +-130 15 1.89460683110950 -0.9217121802 1.080946631 -1.192958166 +-130 10 1.95006339310593 -0.9803913499 0.9610329370 -1.242195836 +-130 5 2.00507453869112 -1.032538208 0.8340797196 -1.285952245 +-130 -2.84217e-14 2.05967793372961 -1.077804836 0.7000000000 -1.323935456 +-130 -5 2.11390724834358 -1.115722290 0.5586426162 -1.355751978 +-130 -10 2.16777439291745 -1.145666736 0.4098245531 -1.380878351 +-130 -15 2.22124779565462 -1.166823424 0.2533760095 -1.398630921 +-130 -20 2.27423557478418 -1.178157004 0.08920080212 -1.408140923 +-130 -25 2.32656171604026 -1.178382247 -0.08264249511 -1.408329924 +-130 -30 2.37793272313581 -1.165939089 -0.2618303813 -1.397888875 +-130 -35 2.42789989482250 -1.138984997 -0.4476296498 -1.375271706 +-130 -40 2.47581737384164 -1.095417898 -0.6387145699 -1.338714570 +-130 -45 2.52079611351945 -1.032947547 -0.8329475470 -1.286295721 + +-125 45 1.55337564490697 -0.4843543783 1.684354378 -0.6892523559 +-125 40 1.61382788572779 -0.5894352349 1.614144704 -0.7628307639 +-125 35 1.67502549859052 -0.6902141173 1.533396897 -0.8333968970 +-125 30 1.73661397233228 -0.7859842502 1.442463353 -0.9004558660 +-125 25 1.79831321165322 -0.8761167942 1.341693800 -0.9635673528 +-125 20 1.85990501265005 -0.9600339632 1.231408904 -1.022326787 +-125 15 1.92122450898401 -1.037182594 1.111886835 -1.076346840 +-125 10 1.98214002914384 -1.106997584 0.9833570320 -1.125231822 +-125 5 2.04254409701598 -1.168873918 0.8460075487 -1.168558098 +-125 -2.84217e-14 2.10233214935014 -1.222129678 0.7000000000 -1.205848182 +-125 -5 2.16139038462629 -1.265978049 0.5454969406 -1.236551143 +-125 -10 2.21957776970320 -1.299497543 0.3827000314 -1.260021745 +-125 -15 2.27670474588980 -1.321604342 0.2119025875 -1.275501092 +-125 -20 2.33251284585254 -1.331033279 0.03355838838 -1.282103305 +-125 -25 2.38665303547399 -1.326329976 -0.1516316540 -1.278810016 +-125 -30 2.43865949038489 -1.305857690 -0.3426124233 -1.264475167 +-125 -35 2.48792202284649 -1.267829754 -0.5378477197 -1.237847720 +-125 -40 2.53366261299306 -1.210381478 -0.7351804671 -1.197622004 +-125 -45 2.57491670079779 -1.131691945 -0.9316919455 -1.142523000 + +-120 45 1.55380956630583 -0.5172071362 1.717207136 -0.5872848139 +-120 40 1.61679919737778 -0.6327019285 1.650449770 -0.6539657633 +-120 35 1.68124309606445 -0.7449814275 1.571745380 -0.7187903623 +-120 30 1.74670773844484 -0.8529939963 1.481151448 -0.7811514480 +-120 25 1.81280365432170 -0.9557145044 1.378810821 -0.8404571610 +-120 20 1.87918560252508 -1.052141040 1.264933138 -0.8961290474 +-120 15 1.94553780375633 -1.141275191 1.139778362 -0.9475906735 +-120 10 2.01157503061458 -1.222112328 1.003654867 -0.9942620159 +-120 5 2.07702749964126 -1.293617637 0.8569212099 -1.035545625 +-120 -2.84217e-14 2.14162291725642 -1.354699852 0.7000000000 -1.070811459 +-120 -5 2.20508026094434 -1.404197632 0.5334042941 -1.099389015 +-120 -10 2.26708870868040 -1.440857961 0.3577743757 -1.120554866 +-120 -15 2.32729271078810 -1.463327457 0.1739279934 -1.133527636 +-120 -20 2.38527246467596 -1.470150942 -0.01707629981 -1.137467177 +-120 -25 2.44052673753721 -1.459787626 -0.2138639784 -1.131483913 +-120 -30 2.49245654615635 -1.430648539 -0.4146604536 -1.114660454 +-120 -35 2.54035112451758 -1.381161610 -0.6172035399 -1.086089162 +-120 -40 2.58338371279108 -1.309874546 -0.8186650642 -1.044931556 +-120 -45 2.62060916932542 -1.215591412 -1.015591412 -0.9904971636 + +-115 45 1.55426163403931 -0.5437534183 1.743753418 -0.4867102122 +-115 40 1.61938312141959 -0.6682234189 1.680255840 -0.5447515267 +-115 35 1.68661160240369 -0.7906397708 1.603715697 -0.6018352091 +-115 30 1.75546574878540 -0.9096711171 1.513873999 -0.6573404374 +-115 25 1.82546790681053 -1.023931878 1.410621105 -0.7106211052 +-115 20 1.89615352204768 -1.131999185 1.293999126 -0.7610137180 +-115 15 1.96706366071500 -1.232413649 1.164198838 -0.8078377516 +-115 10 2.03775357281921 -1.323691904 1.021566087 -0.8504015011 +-115 5 2.10778285757877 -1.404322999 0.8666066741 -0.8880003980 +-115 -2.84217e-14 2.17669769149882 -1.472758068 0.7000000000 -0.9199121947 +-115 -5 2.24404012818161 -1.527427641 0.5226230653 -0.9454050353 +-115 -10 2.30932662411484 -1.566736786 0.3355785427 -0.9637351905 +-115 -15 2.37203821889810 -1.589079000 0.1402329689 -0.9741535364 +-115 -20 2.43160844210570 -1.592859544 -0.06173857845 -0.9759164327 +-115 -25 2.48741378322652 -1.576535634 -0.2683044687 -0.9683044687 +-115 -30 2.53876660194442 -1.538676035 -0.4770301574 -0.9506502475 +-115 -35 2.58491459264580 -1.478044959 -0.6850419910 -0.9223775124 +-115 -40 2.62504673540794 -1.393709420 -0.8890108761 -0.8830512050 +-115 -45 2.65830590362062 -1.285166547 -1.085166547 -0.8324368318 + +-110 45 1.55468123753531 -0.5646318418 1.764631842 -0.3874943009 +-110 40 1.62153498469448 -0.6965296480 1.704007586 -0.4355011763 +-110 35 1.69106662377187 -0.8274950537 1.629522044 -0.4831686857 +-110 30 1.76277053811378 -0.9559863023 1.540614084 -0.5299356755 +-110 25 1.83610257557939 -1.080313973 1.436912508 -0.5751872471 +-110 20 1.91049393118101 -1.198670765 1.318265596 -0.6182655961 +-110 15 1.98535595153059 -1.309156970 1.184762149 -0.6584792862 +-110 10 2.06009456821058 -1.409816902 1.036752248 -0.6951165051 +-110 5 2.13409572150215 -1.498651048 0.8748593090 -0.7274494900 +-110 -2.84217e-14 2.20673309914541 -1.573650809 0.7000000000 -0.7547471709 +-110 -5 2.27737146930550 -1.632833512 0.5134012465 -0.7762879131 +-110 -10 2.34536310771937 -1.674275964 0.3166164840 -0.7913717320 +-110 -15 2.41003999542918 -1.696150596 0.1115432214 -0.7993334469 +-110 -20 2.47071247015732 -1.696775908 -0.09956104192 -0.7995610419 +-110 -25 2.52666717238255 -1.674675583 -0.3140678782 -0.7915171813 +-110 -30 2.57716696129655 -1.628649029 -0.5289760899 -0.7747648858 +-110 -35 2.62146199300931 -1.557859685 -0.7409288638 -0.7489996715 +-110 -40 2.65880255407419 -1.461928737 -0.9462536794 -0.7140836619 +-110 -45 2.68845079496308 -1.341027120 -1.141027120 -0.6700790722 + +-105 45 1.55503412811019 -0.5803546588 1.780354659 -0.2894801584 +-105 40 1.62322660277528 -0.7180685694 1.722080887 -0.3263804895 +-105 35 1.69456625961816 -0.8558320474 1.649363820 -0.3632941022 +-105 30 1.76853459655848 -0.9919535116 1.561379762 -0.3997677386 +-105 25 1.84454098767133 -1.124506643 1.457519888 -0.4352852430 +-105 20 1.92193745013804 -1.251366817 1.337445391 -0.4692773244 +-105 15 2.00002421102059 -1.370248893 1.201131681 -0.5011316806 +-105 10 2.07807258833991 -1.478768613 1.048910295 -0.5302094520 +-105 5 2.15531862689259 -1.574483613 0.8814937988 -0.5558562088 +-105 -2.84217e-14 2.23097538972588 -1.654956747 0.7000000000 -0.5774189200 +-105 -5 2.30425401399777 -1.717833193 0.5059647380 -0.5942666129 +-105 -10 2.37436046544465 -1.760897907 0.3013426983 -0.6058057684 +-105 -15 2.44050089647784 -1.782144424 0.08850124468 -0.6114987553 +-105 -20 2.50188877651514 -1.779847861 -0.1297967599 -0.6108833931 +-105 -25 2.55774981739342 -1.752637158 -0.3504219578 -0.6035923073 +-105 -30 2.60733128300209 -1.699570804 -0.5699227955 -0.5893732205 +-105 -35 2.64991325363648 -1.620210580 -0.7845874306 -0.5681087127 +-105 -40 2.68482274582967 -1.514689875 -0.9905255309 -0.5398345250 +-105 -45 2.71144639144604 -1.383768136 -1.183768136 -0.5047541508 + +-100 45 1.55529864366166 -0.5913123766 1.791312377 -0.1924278164 +-100 40 1.62444341924320 -0.7331968257 1.734775002 -0.2174458729 +-100 35 1.69708268895265 -0.8758905731 1.663408951 -0.2426066305 +-100 30 1.77269374974139 -1.017605713 1.576190067 -0.2675948334 +-100 25 1.85065688078619 -1.156249321 1.472321742 -0.2920414421 +-100 20 1.93026759869609 -1.289460417 1.351310327 -0.3155301524 +-100 15 2.01074477701219 -1.414658168 1.213031110 -0.3376058938 +-100 10 2.09125007395275 -1.529113859 1.057787520 -0.3577875203 +-100 5 2.17090079235833 -1.630028457 0.8863533430 -0.3755814867 +-100 -2.84217e-14 2.24878606271360 -1.714621949 0.7000000000 -0.3904976018 +-100 -5 2.32399270311534 -1.780238051 0.5005050204 -0.4020674909 +-100 -10 2.39561160665981 -1.824432057 0.2901399135 -0.4098600865 +-100 -15 2.46275505961683 -1.845068426 0.07164080898 -0.4134988352 +-100 -20 2.52456907451293 -1.840409398 -0.1518393568 -0.4126773227 +-100 -25 2.58024359303214 -1.809194504 -0.3767950816 -0.4071732948 +-100 -30 2.62902634706978 -1.750713303 -0.5994499315 -0.3968614812 +-100 -35 2.67023551653160 -1.664863208 -0.8158535378 -0.3817237932 +-100 -40 2.70327101783302 -1.552189198 -1.021991199 -0.3618563252 +-100 -45 2.72762422400406 -1.413902572 -1.213902572 -0.3374726619 + +-95 45 1.55546215135421 -0.5977791676 1.797779168 -0.09604323222 +-95 40 1.62517594699418 -0.7421703957 1.742304721 -0.1086758278 +-95 35 1.69859764228381 -0.8878502340 1.671783196 -0.1214211622 +-95 30 1.77520454064141 -1.032978342 1.585065458 -0.1341182264 +-95 25 1.85436123056907 -1.175363630 1.481234891 -0.1465753249 +-95 20 1.93532895722198 -1.312499415 1.359695837 -0.1585731515 +-95 15 2.01727545054768 -1.441617732 1.220254903 -0.1698695405 +-95 10 2.09929466221747 -1.559770482 1.063193110 -0.1802065666 +-95 5 2.18042477859349 -1.663924434 0.8893188567 -0.1893188567 +-95 -2.84217e-14 2.25967675284314 -1.751078001 0.7000000000 -0.1969438058 +-95 -5 2.33605627172335 -1.818378187 0.4971681909 -0.2028318091 +-95 -10 2.40858167401921 -1.863234435 0.2832980074 -0.2067562223 +-95 -15 2.47630801672470 -1.883434327 0.06136069688 -0.2085234839 +-95 -20 2.53834162214619 -1.877240670 -0.1652448435 -0.2079816091 +-95 -25 2.59385417430785 -1.843474871 -0.3927802790 -0.2050274845 +-95 -30 2.64209929891818 -1.781585536 -0.6172740231 -0.1996128692 +-95 -35 2.68242436410800 -1.691692246 -0.8346394320 -0.1917482255 +-95 -40 2.71428128286990 -1.574606052 -1.040801173 -0.1815045108 +-95 -45 2.73723014328428 -1.431820858 -1.231820858 -0.1690124251 + +-90 45 1.55551679348110 -0.5999164729 1.799916473 -3.537601186e-16 +-90 40 1.62541979286840 -0.7451438001 1.744799703 -4.004687894e-16 +-90 35 1.69910274542611 -0.8918234874 1.674565298 -4.476445749e-16 +-90 30 1.77604343567388 -1.038098734 1.588021718 -4.946902822e-16 +-90 25 1.85560152200507 -1.181746109 1.484211090 -5.408908018e-16 +-90 20 1.93702664608141 -1.320209646 1.362502131 -5.854240716e-16 +-90 15 2.01946871425312 -1.450656986 1.222676964 -6.273791363e-16 +-90 10 2.10199917290453 -1.570065082 1.065008326 -6.657837090e-16 +-90 5 2.18362854145457 -1.675319176 0.8903157674 -6.996360073e-16 +-90 -2.84217e-14 2.26334096753484 -1.763340968 0.7000000000 -7.279459748e-16 +-90 -5 2.34011387297710 -1.831209033 0.4960456373 -7.497740095e-16 +-90 -10 2.41294103639073 -1.876283040 0.2809971862 -7.642709158e-16 +-90 -15 2.48085837657683 -1.896325177 0.05790660394 -7.707169587e-16 +-90 -20 2.54295896711104 -1.889599776 -0.1697431904 -7.685539048e-16 +-90 -25 2.59840902316860 -1.854958332 -0.3981351047 -7.574123664e-16 +-90 -30 2.64646510040021 -1.791906007 -0.6232325502 -7.371331922e-16 +-90 -35 2.68648555304531 -1.700640133 -0.8409048098 -7.077798482e-16 +-90 -40 2.71794086883468 -1.582063499 -1.047058714 -6.696426943e-16 +-90 -45 2.74041492750287 -1.437765979 -1.237765979 -6.232330720e-16 + +-85 45 1.55546215135421 -0.5977791676 1.797779168 0.09604323222 +-85 40 1.62517594699418 -0.7421703957 1.742304721 0.1086758278 +-85 35 1.69859764228381 -0.8878502340 1.671783196 0.1214211622 +-85 30 1.77520454064141 -1.032978342 1.585065458 0.1341182264 +-85 25 1.85436123056907 -1.175363630 1.481234891 0.1465753249 +-85 20 1.93532895722198 -1.312499415 1.359695837 0.1585731515 +-85 15 2.01727545054768 -1.441617732 1.220254903 0.1698695405 +-85 10 2.09929466221747 -1.559770482 1.063193110 0.1802065666 +-85 5 2.18042477859349 -1.663924434 0.8893188567 0.1893188567 +-85 -2.84217e-14 2.25967675284314 -1.751078001 0.7000000000 0.1969438058 +-85 -5 2.33605627172335 -1.818378187 0.4971681909 0.2028318091 +-85 -10 2.40858167401921 -1.863234435 0.2832980074 0.2067562223 +-85 -15 2.47630801672470 -1.883434327 0.06136069688 0.2085234839 +-85 -20 2.53834162214619 -1.877240670 -0.1652448435 0.2079816091 +-85 -25 2.59385417430785 -1.843474871 -0.3927802790 0.2050274845 +-85 -30 2.64209929891818 -1.781585536 -0.6172740231 0.1996128692 +-85 -35 2.68242436410800 -1.691692246 -0.8346394320 0.1917482255 +-85 -40 2.71428128286990 -1.574606052 -1.040801173 0.1815045108 +-85 -45 2.73723014328428 -1.431820858 -1.231820858 0.1690124251 + +-80 45 1.55529864366166 -0.5913123766 1.791312377 0.1924278164 +-80 40 1.62444341924320 -0.7331968257 1.734775002 0.2174458729 +-80 35 1.69708268895265 -0.8758905731 1.663408951 0.2426066305 +-80 30 1.77269374974139 -1.017605713 1.576190067 0.2675948334 +-80 25 1.85065688078619 -1.156249321 1.472321742 0.2920414421 +-80 20 1.93026759869609 -1.289460417 1.351310327 0.3155301524 +-80 15 2.01074477701219 -1.414658168 1.213031110 0.3376058938 +-80 10 2.09125007395274 -1.529113859 1.057787520 0.3577875203 +-80 5 2.17090079235833 -1.630028457 0.8863533430 0.3755814867 +-80 -2.84217e-14 2.24878606271360 -1.714621949 0.7000000000 0.3904976018 +-80 -5 2.32399270311534 -1.780238051 0.5005050204 0.4020674909 +-80 -10 2.39561160665982 -1.824432057 0.2901399135 0.4098600865 +-80 -15 2.46275505961684 -1.845068426 0.07164080898 0.4134988352 +-80 -20 2.52456907451293 -1.840409398 -0.1518393568 0.4126773227 +-80 -25 2.58024359303214 -1.809194504 -0.3767950816 0.4071732948 +-80 -30 2.62902634706978 -1.750713303 -0.5994499315 0.3968614812 +-80 -35 2.67023551653160 -1.664863208 -0.8158535378 0.3817237932 +-80 -40 2.70327101783302 -1.552189198 -1.021991199 0.3618563252 +-80 -45 2.72762422400406 -1.413902572 -1.213902572 0.3374726619 + +-75 45 1.55503412811019 -0.5803546588 1.780354659 0.2894801584 +-75 40 1.62322660277528 -0.7180685694 1.722080887 0.3263804895 +-75 35 1.69456625961816 -0.8558320474 1.649363820 0.3632941022 +-75 30 1.76853459655848 -0.9919535116 1.561379762 0.3997677386 +-75 25 1.84454098767133 -1.124506643 1.457519888 0.4352852430 +-75 20 1.92193745013804 -1.251366817 1.337445391 0.4692773244 +-75 15 2.00002421102059 -1.370248893 1.201131681 0.5011316806 +-75 10 2.07807258833991 -1.478768613 1.048910295 0.5302094520 +-75 5 2.15531862689259 -1.574483613 0.8814937988 0.5558562088 +-75 -2.84217e-14 2.23097538972588 -1.654956747 0.7000000000 0.5774189200 +-75 -5 2.30425401399777 -1.717833193 0.5059647380 0.5942666129 +-75 -10 2.37436046544465 -1.760897907 0.3013426983 0.6058057684 +-75 -15 2.44050089647784 -1.782144424 0.08850124468 0.6114987553 +-75 -20 2.50188877651514 -1.779847861 -0.1297967599 0.6108833931 +-75 -25 2.55774981739343 -1.752637158 -0.3504219578 0.6035923073 +-75 -30 2.60733128300209 -1.699570804 -0.5699227955 0.5893732205 +-75 -35 2.64991325363648 -1.620210580 -0.7845874306 0.5681087127 +-75 -40 2.68482274582967 -1.514689875 -0.9905255309 0.5398345250 +-75 -45 2.71144639144605 -1.383768136 -1.183768136 0.5047541508 + +-70 45 1.55468123753531 -0.5646318418 1.764631842 0.3874943009 +-70 40 1.62153498469448 -0.6965296480 1.704007586 0.4355011763 +-70 35 1.69106662377187 -0.8274950537 1.629522044 0.4831686857 +-70 30 1.76277053811378 -0.9559863023 1.540614084 0.5299356755 +-70 25 1.83610257557939 -1.080313973 1.436912508 0.5751872471 +-70 20 1.91049393118101 -1.198670765 1.318265596 0.6182655961 +-70 15 1.98535595153059 -1.309156970 1.184762149 0.6584792862 +-70 10 2.06009456821058 -1.409816902 1.036752248 0.6951165051 +-70 5 2.13409572150215 -1.498651048 0.8748593090 0.7274494900 +-70 -2.84217e-14 2.20673309914541 -1.573650809 0.7000000000 0.7547471709 +-70 -5 2.27737146930550 -1.632833512 0.5134012465 0.7762879131 +-70 -10 2.34536310771937 -1.674275964 0.3166164840 0.7913717320 +-70 -15 2.41003999542918 -1.696150596 0.1115432214 0.7993334469 +-70 -20 2.47071247015733 -1.696775908 -0.09956104192 0.7995610419 +-70 -25 2.52666717238255 -1.674675583 -0.3140678782 0.7915171813 +-70 -30 2.57716696129655 -1.628649029 -0.5289760899 0.7747648858 +-70 -35 2.62146199300931 -1.557859685 -0.7409288638 0.7489996715 +-70 -40 2.65880255407419 -1.461928737 -0.9462536794 0.7140836619 +-70 -45 2.68845079496308 -1.341027120 -1.141027120 0.6700790722 + +-65 45 1.55426163403931 -0.5437534183 1.743753418 0.4867102122 +-65 40 1.61938312141959 -0.6682234189 1.680255840 0.5447515267 +-65 35 1.68661160240369 -0.7906397708 1.603715697 0.6018352091 +-65 30 1.75546574878540 -0.9096711171 1.513873999 0.6573404374 +-65 25 1.82546790681053 -1.023931878 1.410621105 0.7106211052 +-65 20 1.89615352204768 -1.131999185 1.293999126 0.7610137180 +-65 15 1.96706366071500 -1.232413649 1.164198838 0.8078377516 +-65 10 2.03775357281921 -1.323691904 1.021566087 0.8504015011 +-65 5 2.10778285757877 -1.404322999 0.8666066741 0.8880003980 +-65 -2.84217e-14 2.17669769149882 -1.472758068 0.7000000000 0.9199121947 +-65 -5 2.24404012818161 -1.527427641 0.5226230653 0.9454050353 +-65 -10 2.30932662411484 -1.566736786 0.3355785427 0.9637351905 +-65 -15 2.37203821889810 -1.589079000 0.1402329689 0.9741535364 +-65 -20 2.43160844210570 -1.592859544 -0.06173857845 0.9759164327 +-65 -25 2.48741378322653 -1.576535634 -0.2683044687 0.9683044687 +-65 -30 2.53876660194442 -1.538676035 -0.4770301574 0.9506502475 +-65 -35 2.58491459264580 -1.478044959 -0.6850419910 0.9223775124 +-65 -40 2.62504673540794 -1.393709420 -0.8890108761 0.8830512050 +-65 -45 2.65830590362062 -1.285166547 -1.085166547 0.8324368318 + +-60 45 1.55380956630583 -0.5172071362 1.717207136 0.5872848139 +-60 40 1.61679919737778 -0.6327019285 1.650449770 0.6539657633 +-60 35 1.68124309606445 -0.7449814275 1.571745380 0.7187903623 +-60 30 1.74670773844484 -0.8529939963 1.481151448 0.7811514480 +-60 25 1.81280365432170 -0.9557145044 1.378810821 0.8404571610 +-60 20 1.87918560252508 -1.052141040 1.264933138 0.8961290474 +-60 15 1.94553780375633 -1.141275191 1.139778362 0.9475906735 +-60 10 2.01157503061458 -1.222112328 1.003654867 0.9942620159 +-60 5 2.07702749964126 -1.293617637 0.8569212099 1.035545625 +-60 -2.84217e-14 2.14162291725642 -1.354699852 0.7000000000 1.070811459 +-60 -5 2.20508026094434 -1.404197632 0.5334042941 1.099389015 +-60 -10 2.26708870868040 -1.440857961 0.3577743757 1.120554866 +-60 -15 2.32729271078810 -1.463327457 0.1739279934 1.133527636 +-60 -20 2.38527246467596 -1.470150942 -0.01707629981 1.137467177 +-60 -25 2.44052673753721 -1.459787626 -0.2138639784 1.131483913 +-60 -30 2.49245654615635 -1.430648539 -0.4146604536 1.114660454 +-60 -35 2.54035112451758 -1.381161610 -0.6172035399 1.086089162 +-60 -40 2.58338371279109 -1.309874546 -0.8186650642 1.044931556 +-60 -45 2.62060916932542 -1.215591412 -1.015591412 0.9904971636 + +-55 45 1.55337564490698 -0.4843543783 1.684354378 0.6892523559 +-55 40 1.61382788572779 -0.5894352349 1.614144704 0.7628307639 +-55 35 1.67502549859052 -0.6902141173 1.533396897 0.8333968970 +-55 30 1.73661397233228 -0.7859842502 1.442463353 0.9004558660 +-55 25 1.79831321165322 -0.8761167942 1.341693800 0.9635673528 +-55 20 1.85990501265005 -0.9600339632 1.231408904 1.022326787 +-55 15 1.92122450898401 -1.037182594 1.111886835 1.076346840 +-55 10 1.98214002914384 -1.106997584 0.9833570320 1.125231822 +-55 5 2.04254409701599 -1.168873918 0.8460075487 1.168558098 +-55 -2.84217e-14 2.10233214935014 -1.222129678 0.7000000000 1.205848182 +-55 -5 2.16139038462630 -1.265978049 0.5454969406 1.236551143 +-55 -10 2.21957776970320 -1.299497543 0.3827000314 1.260021745 +-55 -15 2.27670474588980 -1.321604342 0.2119025875 1.275501092 +-55 -20 2.33251284585254 -1.331033279 0.03355838838 1.282103305 +-55 -25 2.38665303547399 -1.326329976 -0.1516316540 1.278810016 +-55 -30 2.43865949038490 -1.305857690 -0.3426124233 1.264475167 +-55 -35 2.48792202284649 -1.267829754 -0.5378477197 1.237847720 +-55 -40 2.53366261299307 -1.210381478 -0.7351804671 1.197622004 +-55 -45 2.57491670079779 -1.131691945 -0.9316919455 1.142523000 + +-50 45 1.55303673368572 -0.4444333234 1.644433323 0.7924736534 +-50 40 1.61053559447478 -0.5378299062 1.570842692 0.8708426915 +-50 35 1.66805237186801 -0.6260401705 1.488461816 0.9448598917 +-50 30 1.72533722363217 -0.7087418176 1.397867414 1.014254813 +-50 25 1.78223649340681 -0.7857058852 1.299534500 1.078835334 +-50 20 1.83866785169227 -0.8567518544 1.193817290 1.138449981 +-50 15 1.89460683110950 -0.9217121802 1.080946631 1.192958166 +-50 10 1.95006339310593 -0.9803913499 0.9610329370 1.242195836 +-50 5 2.00507453869112 -1.032538208 0.8340797196 1.285952245 +-50 -2.84217e-14 2.05967793372961 -1.077804836 0.7000000000 1.323935456 +-50 -5 2.11390724834359 -1.115722290 0.5586426162 1.355751978 +-50 -10 2.16777439291745 -1.145666736 0.4098245531 1.380878351 +-50 -15 2.22124779565462 -1.166823424 0.2533760095 1.398630921 +-50 -20 2.27423557478418 -1.178157004 0.08920080212 1.408140923 +-50 -25 2.32656171604026 -1.178382247 -0.08264249511 1.408329924 +-50 -30 2.37793272313582 -1.165939089 -0.2618303813 1.397888875 +-50 -35 2.42789989482250 -1.138984997 -0.4476296498 1.375271706 +-50 -40 2.47581737384164 -1.095417898 -0.6387145699 1.338714570 +-50 -45 2.52079611351945 -1.032947547 -0.8329475470 1.286295721 + +-45 45 1.55290146878499 -0.3965680810 1.596568081 0.8965680810 +-45 40 1.60702414159176 -0.4772641677 1.520022003 0.9772641677 +-45 35 1.66045119463405 -0.5522067915 1.436763127 1.052206792 +-45 30 1.71306614736455 -0.6214650415 1.347478144 1.121465042 +-45 25 1.76485113475635 -0.6851733095 1.252655390 1.185173310 +-45 20 1.81585748950795 -0.7434830091 1.152590802 1.243483009 +-45 15 1.86618667049758 -0.7965268268 1.047403316 1.296526827 +-45 10 1.91596984738346 -0.8443859262 0.9370515113 1.344385926 +-45 5 1.96535845352891 -0.8870665804 0.8213526013 1.387066580 +-45 -2.84217e-14 2.01450575528091 -0.9244706803 0.7000000000 1.424470680 +-45 -5 2.06356416822640 -0.9563760057 0.5725836097 1.456376006 +-45 -10 2.11267147991387 -0.9824063166 0.4386117700 1.482406317 +-45 -15 2.16193548889021 -1.001997310 0.2975410337 1.501997310 +-45 -20 2.21142352800926 -1.014363103 0.1488169065 1.514363103 +-45 -25 2.26113615460047 -1.018450008 -0.008064867243 1.518450008 +-45 -30 2.31097638121263 -1.012889171 -0.1734669701 1.512889171 +-45 -35 2.36070954661549 -0.9959515978 -0.3474765856 1.495951598 +-45 -40 2.40990806704540 -0.9655142635 -0.5297124780 1.465514264 +-45 -45 2.45787910897111 -0.9190571652 -0.7190571652 1.419057165 + + +### -y patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = 90 + dsigma = 90 + dphi +# dpy = drho = dmu +# +# dpx dpy gridfn global_x global_y global_z +-45 -135 2.45787925881386 -0.9190572517 -0.7190572517 -1.419057252 +-40 -135 2.43552030109256 -0.7427817250 -0.7810895856 -1.481089586 +-35 -135 2.40982738864783 -0.5692707913 -0.8270769493 -1.527076949 +-30 -135 2.38160514905191 -0.4001621351 -0.8591265530 -1.559126553 +-25 -135 2.35142558120091 -0.2363386051 -0.8790832344 -1.579083234 +-20 -135 2.31967480998833 -0.07816402941 -0.8884926155 -1.588492616 +-15 -135 2.28659324931127 0.07433514548 -0.8886028641 -1.588602864 +-10 -135 2.25230960666040 0.2213351782 -0.8803867377 -1.580386738 +-5 -135 2.21686639005820 0.3631178436 -0.8645702072 -1.564570207 +-2.84217e-14 -135 2.18023909640762 0.5000000000 -0.8416618497 -1.541661850 +5 -135 2.14235147369500 0.6322811744 -0.8119807419 -1.511980742 +10 -135 2.10308614934937 0.7602022943 -0.7756805409 -1.475680541 +15 -135 2.06229232448114 0.8839097148 -0.7327705613 -1.432770561 +20 -135 2.01979625529370 1.003421228 -0.6831384566 -1.383138457 +25 -135 1.97540915288753 1.118590710 -0.6265720589 -1.326572059 +30 -135 1.92894020975364 1.229070870 -0.5627877889 -1.262787789 +35 -135 1.88021405834884 1.334274680 -0.4914677216 -1.191467722 +40 -135 1.82909373097593 1.433338253 -0.4123092157 -1.112309216 +45 -135 1.77551143027214 1.525092002 -0.3250920022 -1.025092002 + +-45 -130 2.52079565238915 -1.032947267 -0.8329472665 -1.286295486 +-40 -130 2.50358093457630 -0.8537267770 -0.9133087499 -1.353726777 +-35 -130 2.48150405133015 -0.6729674817 -0.9751711709 -1.405635512 +-30 -130 2.45544806618906 -0.4931839226 -1.020245015 -1.443456958 +-25 -130 2.42610298387559 -0.3161276271 -1.050191344 -1.468584912 +-20 -130 2.39399031941269 -0.1429621377 -1.066523955 -1.482289599 +-15 -130 2.35948772164596 0.02558025094 -1.070558608 -1.485675075 +-10 -130 2.32285330724479 0.1890658924 -1.063394952 -1.479664054 +-5 -130 2.28424734941605 0.3472519409 -1.045918305 -1.464999405 +-2.84217e-14 -130 2.24375301746498 0.5000000000 -1.018814531 -1.442256639 +5 -130 2.20139333350696 0.6472075951 -0.9825905116 -1.411861078 +10 -130 2.15714537988621 0.7887526611 -0.9375977171 -1.374107640 +15 -130 2.11095149508180 0.9244468278 -0.8840571263 -1.329181750 +20 -130 2.06273214388398 1.053995001 -0.8220887550 -1.277184113 +25 -130 2.01240607019598 1.176962273 -0.7517502797 -1.218163124 +30 -130 1.95990711945574 1.292746655 -0.6730774839 -1.152148810 +35 -130 1.90519915882602 1.400557329 -0.5861291538 -1.079190499 +40 -130 1.84830937452889 1.499410827 -0.4910514436 -0.9994108271 +45 -130 1.78935735654220 1.588144716 -0.3881447157 -0.9130618296 + +-45 -125 2.57491698094959 -1.131692123 -0.9316921230 -1.142523125 +-40 -125 2.56331977585346 -0.9519796181 -1.030401926 -1.211640473 +-35 -125 2.54553656638600 -0.7665134217 -1.108768619 -1.266513422 +-30 -125 2.52241978040979 -0.5784228837 -1.167883227 -1.307905916 +-25 -125 2.49469215277942 -0.3901833541 -1.209004363 -1.336699246 +-20 -125 2.46294610265896 -0.2037087804 -1.233423984 -1.353798048 +-15 -125 2.42765481904445 -0.02045924604 -1.242380349 -1.360069363 +-10 -125 2.38918481260795 0.1584538391 -1.237004533 -1.356305175 +-5 -125 2.34781099569349 0.3321710024 -1.218294220 -1.343204074 +-2.84217e-14 -125 2.30373193216215 0.5000000000 -1.187106722 -1.321366352 +5 -125 2.25708658637264 0.6613437282 -1.144167253 -1.291299812 +10 -125 2.20796913897179 0.8156404556 -1.090085977 -1.253431695 +15 -125 2.15644369384838 0.9623149264 -1.025382794 -1.208126039 +20 -125 2.10256455841912 1.100741177 -0.9505228193 -1.155708520 +25 -125 2.04639176957482 1.230215905 -0.8659530628 -1.096492139 +30 -125 1.98800787543047 1.349943060 -0.7721445628 -1.030806720 +35 -125 1.92755131630223 1.459039303 -0.6696500683 -0.9590393025 +40 -125 1.86522420208569 1.556546885 -0.5591435460 -0.8816618026 +45 -125 1.80133167843033 1.641480961 -0.4414809613 -0.7992735738 + +-45 -120 2.62060899777542 -1.215591300 -1.015591300 -0.9904970988 +-40 -120 2.61466476665790 -1.037053910 -1.131789519 -1.057584172 +-35 -120 2.60147034944774 -0.8488946154 -1.226421156 -1.112219773 +-30 -120 2.58175206067288 -0.6545946217 -1.299816547 -1.154594622 +-25 -120 2.55618886694551 -0.4571740770 -1.352666432 -1.185107517 +-20 -120 2.52538020568621 -0.2591964106 -1.385874995 -1.204280490 +-15 -120 2.48984583399865 -0.06281626631 -1.400458901 -1.212700512 +-10 -120 2.45002930572055 0.1301587999 -1.397473674 -1.210976990 +-5 -120 2.40630459314472 0.3182016231 -1.377964956 -1.199713627 +-2.84217e-14 -120 2.35898526534663 0.5000000000 -1.342941167 -1.179492633 +5 -120 2.30833495734110 0.6743966868 -1.293363252 -1.150868810 +10 -120 2.25458332349228 0.8403378891 -1.230152083 -1.114373825 +15 -120 2.19794264982070 0.9968331207 -1.154206449 -1.070526593 +20 -120 2.13862693583891 1.142928098 -1.066430433 -1.019849086 +25 -120 2.07686369787023 1.277689051 -0.9677595510 -0.9628814257 +30 -120 2.01291578343985 1.400203305 -0.8591978613 -0.9002033050 +35 -120 1.94709662804622 1.509593731 -0.7418492752 -0.8324520671 +40 -120 1.87979672967468 1.605055206 -0.6169535118 -0.7603434646 +45 -120 1.81148165292201 1.685893114 -0.4858931135 -0.6846757083 + +-45 -115 2.65830604524679 -1.285166642 -1.085166642 -0.8324368761 +-40 -115 2.65769297774054 -1.108772518 -1.217260428 -0.8940332204 +-35 -115 2.64901393184164 -0.9193875267 -1.327095467 -0.9452501401 +-30 -115 2.63283115629501 -0.7206406324 -1.414211593 -0.9858730568 +-25 -115 2.60971438249653 -0.5159138442 -1.478634270 -1.015913844 +-20 -115 2.58021704441276 -0.3082924987 -1.520765388 -1.035559908 +-15 -115 2.54486026949840 -0.1005505587 -1.541285198 -1.045128452 +-10 -115 2.50412877583150 0.1048379435 -1.541075387 -1.045030615 +-5 -115 2.45847342131148 0.3056734931 -1.521162138 -1.035744915 +-2.84217e-14 -115 2.40831287797843 0.5000000000 -1.482672715 -1.017797002 +5 -115 2.35403775931748 0.6860715398 -1.426807431 -0.9917465927 +10 -115 2.29602578841222 0.8623225295 -1.354833174 -0.9581844454 +15 -115 2.23465034478207 1.027345461 -1.268080055 -0.9177308016 +20 -115 2.17029883879803 1.179879344 -1.167953145 -0.8710408568 +25 -115 2.10338776932267 1.318810200 -1.055944140 -0.8188101997 +30 -115 2.03436499371382 1.443178056 -0.9336323140 -0.7617752586 +35 -115 1.96372628886343 1.552198543 -0.8026952523 -0.7007183040 +40 -115 1.89202880169592 1.645295550 -0.6649100859 -0.6364680257 +45 -115 1.81988172951081 1.722128717 -0.5221287166 -0.5698879798 + +-45 -110 2.68845094060661 -1.341027220 -1.141027220 -0.6700791085 +-40 -110 2.69254876957043 -1.167148361 -1.286830048 -0.7231469980 +-35 -110 2.68800167193766 -0.9775034715 -1.410093638 -0.7680112757 +-30 -110 2.67518051238156 -0.7757159064 -1.509604766 -0.8042303643 +-25 -110 2.65452023060063 -0.5653811976 -1.584717351 -0.8315691095 +-20 -110 2.62649176790154 -0.3499736493 -1.635283408 -0.8499736493 +-15 -110 2.59158250033124 -0.1327838096 -1.661581328 -0.8595453091 +-10 -110 2.55028678424357 0.08311874570 -1.664251078 -0.8605170189 +-5 -110 2.50310782307294 0.2949053082 -1.644243055 -0.8532346937 +-2.84217e-14 -110 2.45055510904579 0.5000000000 -1.602768553 -0.8381392096 +5 -110 2.39314015571717 0.6960843789 -1.541254706 -0.8157500005 +10 -110 2.33138338632282 0.8810983284 -1.461316021 -0.7866546986 +15 -110 2.26582324601336 1.053243536 -1.364732984 -0.7515013480 +20 -110 2.19702668524695 1.210992059 -1.253434627 -0.7109920587 +25 -110 2.12559267966707 1.353098217 -1.129475029 -0.6658744550 +30 -110 2.05215326859112 1.478612305 -0.9950062329 -0.6169318157 +35 -110 1.97737319239380 1.586895067 -0.8522470229 -0.5649717126 +40 -110 1.90195001142522 1.677632465 -0.7034477203 -0.5108131956 +45 -110 1.82661458610565 1.750849373 -0.5508493729 -0.4552719393 + +-45 -105 2.71144647169580 -1.383768192 -1.183768192 -0.5047541657 +-40 -105 2.71941348963071 -1.212305939 -1.340646755 -0.5467896499 +-35 -105 2.71834784589229 -1.022927227 -1.474965484 -0.5827802451 +-30 -105 2.70844422738198 -0.8191707119 -1.584870697 -0.6122292580 +-25 -105 2.68999936490762 -0.6047344741 -1.669110725 -0.6348013055 +-20 -105 2.66338066442273 -0.3833584716 -1.727007454 -0.6503146873 +-15 -105 2.62902792489969 -0.1587366168 -1.758438523 -0.6587366168 +-10 -105 2.58742727277399 0.06556858580 -1.763782981 -0.6601686601 +-5 -105 2.53910998255547 0.2861881253 -1.743880911 -0.6548359166 +-2.84217e-14 -105 2.48465535844589 0.5000000000 -1.699992780 -0.6430761273 +5 -105 2.42467855427754 0.7041759006 -1.633741222 -0.6253240759 +10 -105 2.35983233700349 0.8962180156 -1.547064028 -0.6020989917 +15 -105 2.29080630837417 1.073990859 -1.442163049 -0.5739908591 +20 -105 2.21833306583033 1.235750369 -1.321457525 -0.5416479114 +25 -105 2.14317547899619 1.380163715 -1.187517179 -0.5057587038 +30 -105 2.06612860736068 1.506325446 -1.043006802 -0.4670372650 +35 -105 1.98800029618260 1.613757308 -0.8906102794 -0.4262027398 +40 -105 1.90960441168487 1.702401543 -0.7329663584 -0.3839621785 +45 -105 1.83175907187075 1.772608370 -0.5726083700 -0.3409943850 + +-45 -100 2.72762427066962 -1.413902605 -1.213902605 -0.3374726677 +-40 -100 2.73846117146773 -1.244407426 -1.378903816 -0.3665668331 +-35 -100 2.74002161738791 -1.055470084 -1.521441500 -0.3917000724 +-30 -100 2.73236822695786 -0.8505287649 -1.639184438 -0.4124613293 +-25 -100 2.71567377632898 -0.6333132164 -1.730398036 -0.4285447476 +-20 -100 2.69021835268620 -0.4077326877 -1.793975062 -0.4397550927 +-15 -100 2.65638683586696 -0.1777633353 -1.829447203 -0.4460097881 +-10 -100 2.61464799225591 0.05266544487 -1.836960330 -0.4473345551 +-5 -100 2.56554631356256 0.2797697003 -1.817243844 -0.4438580068 +-2.84217e-14 -100 2.50971056185296 0.5000000000 -1.771582419 -0.4358066655 +5 -100 2.44783616743595 0.7101258862 -1.701749870 -0.4234933030 +10 -100 2.38068047609378 0.9073055512 -1.609944568 -0.4073055512 +15 -100 2.30905892491375 1.089144419 -1.498716904 -0.3876931131 +20 -100 2.23383349307560 1.253739442 -1.370882098 -0.3651523877 +25 -100 2.15590114446311 1.399707204 -1.229428325 -0.3402102711 +30 -100 2.07618164646560 1.526195154 -1.077422146 -0.3134074805 +35 -100 1.99559249467360 1.632868589 -0.9179040179 -0.2852801305 +40 -100 1.91503499167121 1.719882646 -0.7537995259 -0.2563440810 +45 -100 1.83538336368038 1.787840498 -0.5878404985 -0.2270810267 + +-45 -95 2.73723016919400 -1.431820877 -1.231820877 -0.1690124267 +-40 -95 2.74983023670764 -1.263600454 -1.401777177 -0.1838816762 +-35 -95 2.75302166082204 -1.075028789 -1.549374226 -0.1967947448 +-30 -95 2.74678326321470 -0.8694664092 -1.671985400 -0.2075218326 +-25 -95 2.73120771813083 -0.6506467718 -1.767569965 -0.2158843984 +-20 -95 2.70651540731059 -0.4225702638 -1.834740968 -0.2217610996 +-15 -95 2.67305202781878 -0.1893795411 -1.872799473 -0.2250907874 +-10 -95 2.63126532593834 0.04477213032 -1.881725541 -0.2258717172 +-5 -95 2.58170438664985 0.2758394017 -1.862167362 -0.2241605983 +-2.84217e-14 -95 2.52502985835821 0.5000000000 -1.815421357 -0.2200708528 +5 -95 2.46198879086732 0.7137661008 -1.743357713 -0.2137661008 +10 -95 2.39340542156968 0.9140763915 -1.648343911 -0.2054534703 +15 -95 2.32017597543317 1.098372883 -1.533158003 -0.1953760091 +20 -95 2.24324710194632 1.264655935 -1.400874916 -0.1838027387 +25 -95 2.16360268987183 1.411517068 -1.254754660 -0.1710188727 +30 -95 2.08224009071903 1.538144472 -1.098118971 -0.1573150256 +35 -95 2.00014649509632 1.644302043 -0.9342326824 -0.1429768333 +40 -95 1.91827675813872 1.730284588 -0.7661960781 -0.1282755353 +45 -95 1.83753660728512 1.796855347 -0.5968553465 -0.1134601411 + +-45 -90 2.74041494440242 -1.437765990 -1.237765990 -6.232330758e-16 +-40 -90 2.75360928993512 -1.269985933 -1.409387095 -6.784306329e-16 +-35 -90 2.75735331286371 -1.081552887 -1.558691603 -7.264506251e-16 +-30 -90 2.75159712885677 -0.8757985644 -1.682953015 -7.664161432e-16 +-25 -90 2.73640599894595 -0.6564551467 -1.780026065 -7.976372175e-16 +-20 -90 2.71197936112218 -0.4275515698 -1.848426993 -8.196366338e-16 +-15 -90 2.67864785636089 -0.1932850803 -1.887375144 -8.321633145e-16 +-10 -90 2.63685105358098 0.04211561977 -1.896791361 -8.351918009e-16 +-5 -90 2.58713938642983 0.2745159452 -1.877294540 -8.289211449e-16 +-2.84217e-14 -90 2.53018363846211 0.5000000000 -1.830183638 -8.137691234e-16 +5 -90 2.46674891540162 0.7149913339 -1.757362191 -7.903479596e-16 +10 -90 2.39768293215953 0.9163532718 -1.661256741 -7.594380893e-16 +15 -90 2.32390881821186 1.101471861 -1.544723545 -7.219581551e-16 +20 -90 2.24640339131078 1.268315210 -1.410928690 -6.789264477e-16 +25 -90 2.16618061334285 1.415467485 -1.263226358 -6.314217545e-16 +30 -90 2.08426380599837 1.542131903 -1.105025404 -5.805404471e-16 +35 -90 2.00166379593151 1.648107187 -0.9396669904 -5.273571250e-16 +40 -90 1.91935390190826 1.733736907 -0.7703103909 -4.728878883e-16 +45 -90 1.83825008133418 1.799839098 -0.5998390980 -4.180601389e-16 + +-45 -85 2.73723016919400 -1.431820877 -1.231820877 0.1690124267 +-40 -85 2.74983023670764 -1.263600454 -1.401777177 0.1838816762 +-35 -85 2.75302166082204 -1.075028789 -1.549374226 0.1967947448 +-30 -85 2.74678326321470 -0.8694664092 -1.671985400 0.2075218326 +-25 -85 2.73120771813083 -0.6506467718 -1.767569965 0.2158843984 +-20 -85 2.70651540731059 -0.4225702638 -1.834740968 0.2217610996 +-15 -85 2.67305202781878 -0.1893795411 -1.872799473 0.2250907874 +-10 -85 2.63126532593834 0.04477213032 -1.881725541 0.2258717172 +-5 -85 2.58170438664985 0.2758394017 -1.862167362 0.2241605983 +-2.84217e-14 -85 2.52502985835821 0.5000000000 -1.815421357 0.2200708528 +5 -85 2.46198879086732 0.7137661008 -1.743357713 0.2137661008 +10 -85 2.39340542156967 0.9140763915 -1.648343911 0.2054534703 +15 -85 2.32017597543317 1.098372883 -1.533158003 0.1953760091 +20 -85 2.24324710194632 1.264655935 -1.400874916 0.1838027387 +25 -85 2.16360268987183 1.411517068 -1.254754660 0.1710188727 +30 -85 2.08224009071903 1.538144472 -1.098118971 0.1573150256 +35 -85 2.00014649509632 1.644302043 -0.9342326824 0.1429768333 +40 -85 1.91827675813872 1.730284588 -0.7661960781 0.1282755353 +45 -85 1.83753660728512 1.796855347 -0.5968553465 0.1134601411 + +-45 -80 2.72762427066962 -1.413902605 -1.213902605 0.3374726677 +-40 -80 2.73846117146773 -1.244407426 -1.378903816 0.3665668331 +-35 -80 2.74002161738792 -1.055470084 -1.521441500 0.3917000724 +-30 -80 2.73236822695786 -0.8505287649 -1.639184438 0.4124613293 +-25 -80 2.71567377632898 -0.6333132164 -1.730398036 0.4285447476 +-20 -80 2.69021835268620 -0.4077326877 -1.793975062 0.4397550927 +-15 -80 2.65638683586696 -0.1777633353 -1.829447203 0.4460097881 +-10 -80 2.61464799225591 0.05266544487 -1.836960330 0.4473345551 +-5 -80 2.56554631356256 0.2797697003 -1.817243844 0.4438580068 +-2.84217e-14 -80 2.50971056185296 0.5000000000 -1.771582419 0.4358066655 +5 -80 2.44783616743595 0.7101258862 -1.701749870 0.4234933030 +10 -80 2.38068047609377 0.9073055512 -1.609944568 0.4073055512 +15 -80 2.30905892491375 1.089144419 -1.498716904 0.3876931131 +20 -80 2.23383349307560 1.253739442 -1.370882098 0.3651523877 +25 -80 2.15590114446311 1.399707204 -1.229428325 0.3402102711 +30 -80 2.07618164646560 1.526195154 -1.077422146 0.3134074805 +35 -80 1.99559249467359 1.632868589 -0.9179040179 0.2852801305 +40 -80 1.91503499167121 1.719882646 -0.7537995259 0.2563440810 +45 -80 1.83538336368038 1.787840498 -0.5878404985 0.2270810267 + +-45 -75 2.71144647169580 -1.383768192 -1.183768192 0.5047541657 +-40 -75 2.71941348963071 -1.212305939 -1.340646755 0.5467896499 +-35 -75 2.71834784589229 -1.022927227 -1.474965484 0.5827802451 +-30 -75 2.70844422738198 -0.8191707119 -1.584870697 0.6122292580 +-25 -75 2.68999936490762 -0.6047344741 -1.669110725 0.6348013055 +-20 -75 2.66338066442273 -0.3833584716 -1.727007454 0.6503146873 +-15 -75 2.62902792489969 -0.1587366168 -1.758438523 0.6587366168 +-10 -75 2.58742727277399 0.06556858580 -1.763782981 0.6601686601 +-5 -75 2.53910998255547 0.2861881253 -1.743880911 0.6548359166 +-2.84217e-14 -75 2.48465535844589 0.5000000000 -1.699992780 0.6430761273 +5 -75 2.42467855427754 0.7041759006 -1.633741222 0.6253240759 +10 -75 2.35983233700349 0.8962180156 -1.547064028 0.6020989917 +15 -75 2.29080630837417 1.073990859 -1.442163049 0.5739908591 +20 -75 2.21833306583032 1.235750369 -1.321457525 0.5416479114 +25 -75 2.14317547899619 1.380163715 -1.187517179 0.5057587038 +30 -75 2.06612860736068 1.506325446 -1.043006802 0.4670372650 +35 -75 1.98800029618260 1.613757308 -0.8906102794 0.4262027398 +40 -75 1.90960441168486 1.702401543 -0.7329663584 0.3839621785 +45 -75 1.83175907187075 1.772608370 -0.5726083700 0.3409943850 + +-45 -70 2.68845094060661 -1.341027220 -1.141027220 0.6700791085 +-40 -70 2.69254876957043 -1.167148361 -1.286830048 0.7231469980 +-35 -70 2.68800167193766 -0.9775034715 -1.410093638 0.7680112757 +-30 -70 2.67518051238156 -0.7757159064 -1.509604766 0.8042303643 +-25 -70 2.65452023060064 -0.5653811976 -1.584717351 0.8315691095 +-20 -70 2.62649176790154 -0.3499736493 -1.635283408 0.8499736493 +-15 -70 2.59158250033124 -0.1327838096 -1.661581328 0.8595453091 +-10 -70 2.55028678424357 0.08311874570 -1.664251078 0.8605170189 +-5 -70 2.50310782307294 0.2949053082 -1.644243055 0.8532346937 +-2.84217e-14 -70 2.45055510904578 0.5000000000 -1.602768553 0.8381392096 +5 -70 2.39314015571717 0.6960843789 -1.541254706 0.8157500005 +10 -70 2.33138338632281 0.8810983284 -1.461316021 0.7866546986 +15 -70 2.26582324601336 1.053243536 -1.364732984 0.7515013480 +20 -70 2.19702668524695 1.210992059 -1.253434627 0.7109920587 +25 -70 2.12559267966707 1.353098217 -1.129475029 0.6658744550 +30 -70 2.05215326859112 1.478612305 -0.9950062329 0.6169318157 +35 -70 1.97737319239379 1.586895067 -0.8522470229 0.5649717126 +40 -70 1.90195001142522 1.677632465 -0.7034477203 0.5108131956 +45 -70 1.82661458610565 1.750849373 -0.5508493729 0.4552719393 + +-45 -65 2.65830604524679 -1.285166642 -1.085166642 0.8324368761 +-40 -65 2.65769297774055 -1.108772518 -1.217260428 0.8940332204 +-35 -65 2.64901393184164 -0.9193875267 -1.327095467 0.9452501401 +-30 -65 2.63283115629501 -0.7206406324 -1.414211593 0.9858730568 +-25 -65 2.60971438249653 -0.5159138442 -1.478634270 1.015913844 +-20 -65 2.58021704441276 -0.3082924987 -1.520765388 1.035559908 +-15 -65 2.54486026949840 -0.1005505587 -1.541285198 1.045128452 +-10 -65 2.50412877583150 0.1048379435 -1.541075387 1.045030615 +-5 -65 2.45847342131148 0.3056734931 -1.521162138 1.035744915 +-2.84217e-14 -65 2.40831287797842 0.5000000000 -1.482672715 1.017797002 +5 -65 2.35403775931748 0.6860715398 -1.426807431 0.9917465927 +10 -65 2.29602578841221 0.8623225295 -1.354833174 0.9581844454 +15 -65 2.23465034478206 1.027345461 -1.268080055 0.9177308016 +20 -65 2.17029883879803 1.179879344 -1.167953145 0.8710408568 +25 -65 2.10338776932267 1.318810200 -1.055944140 0.8188101997 +30 -65 2.03436499371381 1.443178056 -0.9336323140 0.7617752586 +35 -65 1.96372628886343 1.552198543 -0.8026952523 0.7007183040 +40 -65 1.89202880169592 1.645295550 -0.6649100859 0.6364680257 +45 -65 1.81988172951081 1.722128717 -0.5221287166 0.5698879798 + +-45 -60 2.62060899777542 -1.215591300 -1.015591300 0.9904970988 +-40 -60 2.61466476665790 -1.037053910 -1.131789519 1.057584172 +-35 -60 2.60147034944774 -0.8488946154 -1.226421156 1.112219773 +-30 -60 2.58175206067288 -0.6545946217 -1.299816547 1.154594622 +-25 -60 2.55618886694551 -0.4571740770 -1.352666432 1.185107517 +-20 -60 2.52538020568621 -0.2591964106 -1.385874995 1.204280490 +-15 -60 2.48984583399865 -0.06281626631 -1.400458901 1.212700512 +-10 -60 2.45002930572055 0.1301587999 -1.397473674 1.210976990 +-5 -60 2.40630459314472 0.3182016231 -1.377964956 1.199713627 +-2.84217e-14 -60 2.35898526534663 0.5000000000 -1.342941167 1.179492633 +5 -60 2.30833495734110 0.6743966868 -1.293363252 1.150868810 +10 -60 2.25458332349228 0.8403378891 -1.230152083 1.114373825 +15 -60 2.19794264982070 0.9968331207 -1.154206449 1.070526593 +20 -60 2.13862693583890 1.142928098 -1.066430433 1.019849086 +25 -60 2.07686369787023 1.277689051 -0.9677595510 0.9628814257 +30 -60 2.01291578343984 1.400203305 -0.8591978613 0.9002033050 +35 -60 1.94709662804621 1.509593731 -0.7418492752 0.8324520671 +40 -60 1.87979672967468 1.605055206 -0.6169535118 0.7603434646 +45 -60 1.81148165292201 1.685893114 -0.4858931135 0.6846757083 + +-45 -55 2.57491698094959 -1.131692123 -0.9316921230 1.142523125 +-40 -55 2.56331977585346 -0.9519796181 -1.030401926 1.211640473 +-35 -55 2.54553656638600 -0.7665134217 -1.108768619 1.266513422 +-30 -55 2.52241978040980 -0.5784228837 -1.167883227 1.307905916 +-25 -55 2.49469215277942 -0.3901833541 -1.209004363 1.336699246 +-20 -55 2.46294610265896 -0.2037087804 -1.233423984 1.353798048 +-15 -55 2.42765481904445 -0.02045924604 -1.242380349 1.360069363 +-10 -55 2.38918481260795 0.1584538391 -1.237004533 1.356305175 +-5 -55 2.34781099569349 0.3321710024 -1.218294220 1.343204074 +-2.84217e-14 -55 2.30373193216215 0.5000000000 -1.187106722 1.321366352 +5 -55 2.25708658637264 0.6613437282 -1.144167253 1.291299812 +10 -55 2.20796913897179 0.8156404556 -1.090085977 1.253431695 +15 -55 2.15644369384838 0.9623149264 -1.025382794 1.208126039 +20 -55 2.10256455841912 1.100741177 -0.9505228193 1.155708520 +25 -55 2.04639176957482 1.230215905 -0.8659530628 1.096492139 +30 -55 1.98800787543047 1.349943060 -0.7721445628 1.030806720 +35 -55 1.92755131630223 1.459039303 -0.6696500683 0.9590393025 +40 -55 1.86522420208568 1.556546885 -0.5591435460 0.8816618026 +45 -55 1.80133167843033 1.641480961 -0.4414809613 0.7992735738 + +-45 -50 2.52079565238915 -1.032947267 -0.8329472665 1.286295486 +-40 -50 2.50358093457630 -0.8537267770 -0.9133087499 1.353726777 +-35 -50 2.48150405133015 -0.6729674817 -0.9751711709 1.405635512 +-30 -50 2.45544806618906 -0.4931839226 -1.020245015 1.443456958 +-25 -50 2.42610298387559 -0.3161276271 -1.050191344 1.468584912 +-20 -50 2.39399031941269 -0.1429621377 -1.066523955 1.482289599 +-15 -50 2.35948772164596 0.02558025094 -1.070558608 1.485675075 +-10 -50 2.32285330724479 0.1890658924 -1.063394952 1.479664054 +-5 -50 2.28424734941605 0.3472519409 -1.045918305 1.464999405 +-2.84217e-14 -50 2.24375301746498 0.5000000000 -1.018814531 1.442256639 +5 -50 2.20139333350696 0.6472075951 -0.9825905116 1.411861078 +10 -50 2.15714537988621 0.7887526611 -0.9375977171 1.374107640 +15 -50 2.11095149508180 0.9244468278 -0.8840571263 1.329181750 +20 -50 2.06273214388398 1.053995001 -0.8220887550 1.277184113 +25 -50 2.01240607019598 1.176962273 -0.7517502797 1.218163124 +30 -50 1.95990711945574 1.292746655 -0.6730774839 1.152148810 +35 -50 1.90519915882602 1.400557329 -0.5861291538 1.079190499 +40 -50 1.84830937452888 1.499410827 -0.4910514436 0.9994108271 +45 -50 1.78935735654219 1.588144716 -0.3881447157 0.9130618296 + +-45 -45 2.45787925881386 -0.9190572517 -0.7190572517 1.419057252 +-40 -45 2.43552030109256 -0.7427817250 -0.7810895856 1.481089586 +-35 -45 2.40982738864783 -0.5692707913 -0.8270769493 1.527076949 +-30 -45 2.38160514905191 -0.4001621351 -0.8591265530 1.559126553 +-25 -45 2.35142558120091 -0.2363386051 -0.8790832344 1.579083234 +-20 -45 2.31967480998833 -0.07816402941 -0.8884926155 1.588492616 +-15 -45 2.28659324931127 0.07433514548 -0.8886028641 1.588602864 +-10 -45 2.25230960666040 0.2213351782 -0.8803867377 1.580386738 +-5 -45 2.21686639005820 0.3631178436 -0.8645702072 1.564570207 +-2.84217e-14 -45 2.18023909640762 0.5000000000 -0.8416618497 1.541661850 +5 -45 2.14235147369500 0.6322811744 -0.8119807419 1.511980742 +10 -45 2.10308614934937 0.7602022943 -0.7756805409 1.475680541 +15 -45 2.06229232448113 0.8839097148 -0.7327705613 1.432770561 +20 -45 2.01979625529370 1.003421228 -0.6831384566 1.383138457 +25 -45 1.97540915288752 1.118590710 -0.6265720589 1.326572059 +30 -45 1.92894020975364 1.229070870 -0.5627877889 1.262787789 +35 -45 1.88021405834884 1.334274680 -0.4914677216 1.191467722 +40 -45 1.82909373097592 1.433338253 -0.4123092157 1.112309216 +45 -45 1.77551143027214 1.525092002 -0.3250920022 1.025092002 + + +### -z patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = dsigma = dnu +# dpy = 180 - drho = 180 - dmu +# +# dpx dpy gridfn global_x global_y global_z +135 45 1.12174037136469 1.147637105 1.347637105 -0.6476371054 +140 45 1.12763623854023 1.075403009 1.385738603 -0.6857386032 +145 45 1.13581561054025 1.003975705 1.419751898 -0.7197518983 +150 45 1.14598752881530 0.9331425724 1.450224942 -0.7502249423 +155 45 1.15794904149624 0.8626066624 1.477612497 -0.7776124970 +160 45 1.17157503841921 0.7920075444 1.502284134 -0.8022841344 +165 45 1.18680712150818 0.7209322016 1.524530201 -0.8245302014 +170 45 1.20364781055924 0.6489201581 1.544568185 -0.8445681850 +175 45 1.22215480008394 0.5754629080 1.562544986 -0.8625449857 +180 45 1.24243961031718 0.5000000000 1.578537474 -0.8785374737 +185 45 1.26466797423081 0.4219120826 1.592548980 -0.8925489797 +190 45 1.28906143508022 0.3405121241 1.604500691 -0.9045006912 +195 45 1.31590257465668 0.2550358035 1.614218827 -0.9142188273 +200 45 1.34553884454381 0.1646330957 1.621412997 -0.9214129969 +205 45 1.37838938287216 0.06836341173 1.625647651 -0.9256476507 +210 45 1.41494878291354 -0.03480037107 1.626301415 -0.9263014146 +215 45 1.45578737400963 -0.1459512099 1.622513933 -0.9225139329 +220 45 1.50154422669723 -0.2661983862 1.613119679 -0.9131196794 +225 45 1.55290165260234 -0.3965681872 1.596568187 -0.8965681872 + +135 40 1.13961094570499 1.193020667 1.281513386 -0.6930206669 +140 40 1.14549400476897 1.119387169 1.319387169 -0.7381568837 +145 40 1.15385574637639 1.045409252 1.353595795 -0.7789251364 +150 40 1.16445547640158 0.9710009850 1.384535496 -0.8157976364 +155 40 1.17712004199647 0.8959766725 1.412542190 -0.8491747146 +160 40 1.19173982475877 0.8200696256 1.437890848 -0.8793840691 +165 40 1.20826350877739 0.7429442906 1.460795219 -0.9066804358 +170 40 1.22669489675353 0.6642037755 1.481408080 -0.9312458869 +175 40 1.24709020950434 0.5833931619 1.499819869 -0.9531882021 +180 40 1.26955561002379 0.5000000000 1.516054616 -0.9725360203 +185 40 1.29424809361808 0.4134533813 1.530064523 -0.9892323779 +190 40 1.32137438847666 0.3231225514 1.541719181 -1.003121858 +195 40 1.35119293147224 0.2283170387 1.550792162 -1.013934615 +200 40 1.38401378839822 0.1282907008 1.556941328 -1.021262906 +205 40 1.42019684662181 0.02225363465 1.559683070 -1.024530387 +210 40 1.46014840103996 -0.09060337562 1.558361208 -1.022955054 +215 40 1.50430754865874 -0.2110622431 1.552107459 -1.015502125 +220 40 1.55312494919090 -0.3397998254 1.539799825 -1.000834459 +225 40 1.60702443752953 -0.4772643476 1.520022154 -0.9772643476 + +135 35 1.15942862115900 1.234715163 1.214453095 -0.7347151626 +140 35 1.16565496776602 1.160279404 1.250986556 -0.7868903523 +145 35 1.17447517767991 1.084351683 1.284351683 -0.8345406909 +150 35 1.18571068722616 1.006932886 1.314805685 -0.8780335143 +155 35 1.19923062551472 0.9279225953 1.342568531 -0.9176829671 +160 35 1.21495208184524 0.8471340468 1.367818007 -0.9537429552 +165 35 1.23284009690837 0.7643057087 1.390686350 -0.9864023334 +170 35 1.25290543390947 0.6791092253 1.411256038 -1.015778893 +175 35 1.27520408224829 0.5911556438 1.429555880 -1.041913776 +180 35 1.29983421734722 0.5000000000 1.445554278 -1.064761856 +185 35 1.32693692924590 0.4051463277 1.459152714 -1.084182435 +190 35 1.35669304179635 0.3060538065 1.470174741 -1.099923521 +195 35 1.38932124867525 0.2021466627 1.478353352 -1.111603788 +200 35 1.42507475529147 0.09283005953 1.483315323 -1.118690217 +205 35 1.46423158750702 -0.02248313858 1.484560635 -1.120468707 +210 35 1.50708399938015 -0.1443312430 1.481441731 -1.116014450 +215 35 1.55391838355565 -0.2731409224 1.473140922 -1.104159667 +220 35 1.60498398699277 -0.4091351217 1.458650394 -1.083465047 +225 35 1.66045156799933 -0.5522070281 1.436763293 -1.052207028 + +135 30 1.18098320036730 1.273134987 1.146369693 -0.7731349872 +140 30 1.18793784144726 1.198339813 1.180499173 -0.8322489807 +145 30 1.19753938602256 1.120939012 1.211990069 -0.8867928129 +150 30 1.20967124820581 1.040981428 1.240981428 -0.9370073197 +155 30 1.22424949230737 0.9584246074 1.267590015 -0.9830947432 +160 30 1.24122491168933 0.8731451983 1.291904119 -1.025208007 +165 30 1.26058409053200 0.7849482572 1.313978163 -1.063441374 +170 30 1.28234737655172 0.6935751918 1.333826364 -1.097819466 +175 30 1.30657032501474 0.5987125092 1.351418041 -1.128289143 +180 30 1.33334029276515 0.5000000000 1.366670146 -1.154706565 +185 30 1.36277631319606 0.3970410801 1.379440715 -1.176825839 +190 30 1.39502303938534 0.2894159903 1.389518610 -1.194281266 +195 30 1.43024604508572 0.1767005700 1.396613456 -1.206569899 +200 30 1.46862547048355 0.05849214974 1.400344842 -1.213032849 +205 30 1.51034145992500 -0.06555276943 1.400228782 -1.212831828 +210 30 1.55555809635440 -0.1956667293 1.395666729 -1.204930120 +215 30 1.60440029960824 -0.3319014382 1.385937373 -1.188078381 +220 30 1.65692200346120 -0.4740363184 1.370194706 -1.160811282 +225 30 1.71306644059634 -0.6214652335 1.347478254 -1.121465234 + +135 25 1.20415125969168 1.308639270 1.077074684 -0.8086392702 +140 25 1.21223255922248 1.233796734 1.107788329 -0.8745048939 +145 25 1.22296440484838 1.155285501 1.136391542 -0.9358446823 +150 25 1.23628828186546 1.073171472 1.162932575 -0.9927621115 +155 25 1.25216673407496 0.9874454955 1.187445496 -1.045330239 +160 25 1.27058409883233 0.8980299248 1.209943904 -1.093578231 +165 25 1.29154772751673 0.8047867573 1.230415478 -1.137479664 +170 25 1.31508850987584 0.7075264998 1.248816725 -1.176941266 +175 25 1.34125988365163 0.6060179646 1.265067367 -1.211790880 +180 25 1.37013439609487 0.5000000000 1.279043817 -1.241763472 +185 25 1.40180265682476 0.3891965187 1.290573793 -1.266489586 +190 25 1.43636473055144 0.2733356023 1.299428086 -1.285477678 +195 25 1.47392338287542 0.1521752013 1.305313888 -1.298099821 +200 25 1.51457491879879 0.02553621479 1.307868654 -1.303578536 +205 25 1.55839344188728 -0.1066539246 1.306653925 -1.300973540 +210 25 1.60541155654490 -0.2443054496 1.301152108 -1.289174855 +215 25 1.65559758430164 -0.3870978488 1.290768448 -1.266907025 +220 25 1.70882718821118 -0.5343987217 1.274840016 -1.232748393 +225 25 1.76485135811104 -0.6851734595 1.252655460 -1.185173460 + +135 20 1.22888222450673 1.341527584 1.006290992 -0.8415275842 +140 20 1.23849153381662 1.266838155 1.032625891 -0.9138821259 +145 20 1.25071824002638 1.187477452 1.057353093 -0.9818195534 +150 20 1.26555342813351 1.103505682 1.080458997 -1.045302503 +155 20 1.28299851836090 1.014926382 1.101918932 -1.104263189 +160 20 1.30306716453174 0.9216928325 1.121692832 -1.158591535 +165 20 1.32578532243064 0.8237155240 1.139720732 -1.208122783 +170 20 1.35119110876581 0.7208717262 1.155918508 -1.252625805 +175 20 1.37933169099556 0.6130169486 1.170172975 -1.291789633 +180 20 1.41026033006866 0.5000000000 1.182337440 -1.325211226 +185 20 1.44403357646969 0.3816816365 1.192227916 -1.352385083 +190 20 1.48070108215521 0.2579579959 1.199617725 -1.372688418 +195 20 1.52029710519819 0.1287907509 1.204234091 -1.385371778 +200 20 1.56282989805385 -0.005756099396 1.205756099 -1.389553463 +205 20 1.60826670797575 -0.1454714835 1.203814173 -1.384218063 +210 20 1.65651478101288 -0.2899437984 1.197992371 -1.368222794 +215 20 1.70740084781849 -0.4385004133 1.187835672 -1.340317495 +220 20 1.76064897811686 -0.5901429495 1.172863496 -1.299181777 +225 20 1.81585767935793 -0.7434831391 1.152590849 -1.243483139 + +135 15 1.25519048759007 1.372039312 0.9336622294 -0.8720393118 +140 15 1.26672320804835 1.297604954 0.9546987217 -0.9505485699 +145 15 1.28081472595082 1.217563656 0.9745908773 -1.024787105 +150 15 1.29749188767075 1.131954419 0.9932910664 -1.094577161 +155 15 1.31678416653974 1.040779631 1.010742195 -1.159705661 +160 15 1.33872672524694 0.9440129831 1.026875412 -1.219915645 +165 15 1.36335660018843 0.8416064568 1.041606457 -1.274892653 +170 15 1.39071308094187 0.7335020029 1.054833236 -1.324255664 +175 15 1.42083235964619 0.6196446127 1.066432359 -1.367544181 +180 15 1.45374405643233 0.5000000000 1.076256649 -1.404208929 +185 15 1.48946666850398 0.3745758699 1.084133132 -1.433604367 +190 15 1.52799635869538 0.2434480088 1.089860353 -1.454978644 +195 15 1.56929804653964 0.1067922763 1.093207724 -1.467471203 +200 15 1.61329457872047 -0.03507838828 1.093916339 -1.470115789 +205 15 1.65985284588245 -0.1816717820 1.091701488 -1.461849854 +210 15 1.70876782215350 -0.3322698476 1.086257781 -1.441533662 +215 15 1.75974628763850 -0.4858802797 1.077267896 -1.407982956 +220 15 1.81239106109799 -0.6411901830 1.064415591 -1.360017500 +225 15 1.86618674850470 -0.7965268810 1.047403331 -1.296526881 + +135 10 1.28315119178300 1.400353628 0.8587566368 -0.9003536281 +140 10 1.29699323829452 1.326188320 0.8736138197 -0.9846128990 +145 10 1.31331505795374 1.245549696 0.8877450893 -1.064755312 +150 10 1.33216288499061 1.158448696 0.9010950314 -1.140466595 +155 10 1.35358301961277 1.064881371 0.9136010954 -1.211392009 +160 10 1.37761985085848 0.9648360861 0.9251918862 -1.277126650 +165 10 1.40431283283234 0.8583031419 0.9357854137 -1.337205530 +170 10 1.43369470166002 0.7452877724 0.9452877724 -1.391096084 +175 10 1.46578463170585 0.6258251262 0.9535913078 -1.438187774 +180 10 1.50058422735083 0.5000000000 0.9605737165 -1.477786981 +185 10 1.53807151761205 0.3679696603 0.9660974602 -1.509113688 +190 10 1.57819005207901 0.2299908259 0.9700091741 -1.531298120 +195 10 1.62083956016434 0.08645118570 0.9721404500 -1.543385186 +200 10 1.66586577593823 -0.06209594161 0.9723098510 -1.544345907 +205 10 1.71304856362692 -0.2148946219 0.9703262707 -1.533096464 +210 10 1.76208941545446 -0.3709486586 0.9659940690 -1.508527327 +215 10 1.81259980123557 -0.5289863213 0.9591203912 -1.469544764 +220 10 1.86409125061301 -0.6874313404 0.9495248184 -1.415125566 +225 10 1.91596991610049 -0.8443859744 0.9370515198 -1.344385974 + +135 5 1.31289283274724 1.426584038 0.7810655991 -0.9265840380 +140 5 1.32941861582831 1.352621097 0.7888984782 -1.016114256 +145 5 1.34832450427193 1.271388740 0.7963825241 -1.101657292 +150 5 1.36966074995152 1.182873095 0.8034790450 -1.182770896 +155 5 1.39347652126813 1.087066026 0.8101453538 -1.258967155 +160 5 1.41981244730070 0.9839716561 0.8163337806 -1.329701197 +165 5 1.44870078034109 0.8736196186 0.8219913402 -1.394367399 +170 5 1.48015890783452 0.7560781612 0.8270590354 -1.452291420 +175 5 1.51418299297891 0.6314713518 0.8314713518 -1.502724427 +180 5 1.55074438965626 0.5000000000 0.8351562791 -1.544843339 +185 5 1.58978156921100 0.3619646814 0.8380353186 -1.577750912 +190 5 1.63118967869822 0.2177924266 0.8400237407 -1.600478680 +195 5 1.67481148036369 0.06806648064 0.8410315366 -1.611997840 +200 5 1.72042871645058 -0.08644276345 0.8409650811 -1.611238250 +205 5 1.76775199155951 -0.2447467686 0.8397294218 -1.597114599 +210 5 1.81641137219998 -0.4056099886 0.8372314378 -1.568562512 +215 5 1.86594892137422 -0.5675263881 0.8333839639 -1.524585683 +220 5 1.91581307158382 -0.7287045058 0.8281107881 -1.464313009 +225 5 1.96535849902712 -0.8870666125 0.8213526042 -1.387066613 + +135 -2.84217e-14 1.34459702732236 1.450773676 0.7000000000 -0.9507736760 +140 -2.84217e-14 1.36416399343309 1.376867713 0.7000000000 -1.045010247 +145 -2.84217e-14 1.38598627410747 1.294969068 0.7000000000 -1.135333490 +150 -2.84217e-14 1.41010453953924 1.205052270 0.7000000000 -1.221186353 +155 -2.84217e-14 1.43655529356113 1.107114501 0.7000000000 -1.301961249 +160 -2.84217e-14 1.46536410034456 1.001184040 0.7000000000 -1.376991832 +165 -2.84217e-14 1.49654554490030 0.8873344889 0.7000000000 -1.445551992 +170 -2.84217e-14 1.53009379283514 0.7656979988 0.7000000000 -1.506848230 +175 -2.84217e-14 1.56597882182365 0.6364840473 0.7000000000 -1.560019800 +180 -2.84217e-14 1.60414151091928 0.5000000000 0.7000000000 -1.604141511 +185 -2.84217e-14 1.64448372308346 0.3566737997 0.7000000000 -1.638225966 +190 -2.84217e-14 1.68685995151306 0.2070798434 0.7000000000 -1.661232758 +195 -2.84217e-14 1.73106896269447 0.05196638407 0.7000000000 -1.672084218 +200 -2.84217e-14 1.77684514651217 -0.1077168317 0.7000000000 -1.669688272 +205 -2.84217e-14 1.82385011687609 -0.2707923661 0.7000000000 -1.652969563 +210 -2.84217e-14 1.87166531771476 -0.4358326589 0.7000000000 -1.620909713 +215 -2.84217e-14 1.91978712613726 -0.6011446584 0.7000000000 -1.572597549 +220 -2.84217e-14 1.96762564670376 -0.7647653862 0.7000000000 -1.507288693 +225 -2.84217e-14 2.01450578880405 -0.9244707040 0.7000000000 -1.424470704 + +135 -5 1.37850081975218 1.472887371 0.6148833842 -0.9728873706 +140 -5 1.40144484753948 1.398815038 0.6062851138 -1.071166051 +145 -5 1.42648571192446 1.316105480 0.5980302641 -1.165519414 +150 -5 1.45364114081521 1.224743281 0.5901761644 -1.255292185 +155 -5 1.48292181004861 1.124748964 0.5827845716 -1.339778478 +160 -5 1.51432874659809 1.016189440 0.5759219300 -1.418218829 +165 -5 1.54784990170785 0.8991901556 0.5696595691 -1.489797943 +170 -5 1.58345210475999 0.7739486289 0.5640741234 -1.553639879 +175 -5 1.62107850990899 0.6407527254 0.5592472746 -1.608811013 +180 -5 1.66064128404693 0.5000000000 0.5552655755 -1.654322043 +185 -5 1.70201340626143 0.3522199732 0.5522199732 -1.689133435 +190 -5 1.74502030849624 0.1980989071 0.5502048692 -1.712166179 +195 -5 1.78943146354822 0.03850601172 0.5493166115 -1.722319012 +200 -5 1.83495216240433 -0.1254803856 0.5496513235 -1.718493236 +205 -5 1.88121586274456 -0.2925486389 0.5513019892 -1.699626041 +210 -5 1.92777754048307 -0.4611339276 0.5543547526 -1.664732796 +215 -5 1.97410949868975 -0.6294060404 0.5588843740 -1.612958985 +220 -5 2.01960127933408 -0.7952689533 0.5649488745 -1.543641428 +225 -5 2.06356418945708 -0.9563760207 0.5725836084 -1.456376021 + +135 -10 1.41489371082519 1.492793908 0.5249436478 -0.9927939077 +140 -10 1.44151958802207 1.418252009 0.5070400721 -1.094330131 +145 -10 1.47003706160514 1.334518479 0.4898507005 -1.191815902 +150 -10 1.50042924783477 1.241617780 0.4735045241 -1.284519675 +155 -10 1.53267161743394 1.139619168 0.4581379704 -1.371667732 +160 -10 1.56673373449287 1.028646837 0.4438947147 -1.452445248 +165 -10 1.60257267802481 0.9088881140 0.4309265763 -1.525991216 +170 -10 1.64012854499704 0.7806060989 0.4193939011 -1.591396267 +175 -10 1.67931997070664 0.6441553164 0.4094655392 -1.647702806 +180 -10 1.72003766411219 0.5000000000 0.4013185941 -1.693906427 +185 -10 1.76213636306775 0.3487356017 0.3951377063 -1.728959984 +190 -10 1.80542588579644 0.1911135312 0.3911135312 -1.751782215 +195 -10 1.84966274025239 0.02806813711 0.3894399280 -1.761273690 +200 -10 1.89454181831710 -0.1392557448 0.3903097430 -1.756340724 +205 -10 1.93968801105603 -0.3094764835 0.3939090710 -1.735927921 +210 -10 1.98464929987753 -0.4809534240 0.4004096738 -1.699061170 +215 -10 2.02889145065934 -0.6517719183 0.4099596138 -1.644900769 +220 -10 2.07179693752830 -0.8197404440 0.4226719699 -1.572805415 +225 -10 2.11267148815021 -0.9824063224 0.4386117690 -1.482406322 + +135 -15 1.45412511722148 1.510248468 0.4293047390 -1.010248468 +140 -15 1.48469434605842 1.434852664 0.4014740477 -1.114114021 +145 -15 1.51688568425859 1.349820053 0.3747984214 -1.213668814 +150 -15 1.55063826031483 1.255251505 0.3494865569 -1.308133978 +155 -15 1.58588836793183 1.151295898 0.3257530691 -1.396708561 +160 -15 1.62257295678538 1.038155731 0.3038181702 -1.478570718 +165 -15 1.66062099655898 0.9160898584 0.2839101416 -1.552868492 +170 -15 1.69995130220647 0.7854233841 0.2662662347 -1.618716449 +175 -15 1.74046585282706 0.6465601212 0.2511342322 -1.675189851 +180 -15 1.78204537817622 0.5000000000 0.2387727169 -1.721323654 +185 -15 1.82453943251379 0.3463602604 0.2294516741 -1.756110260 +190 -15 1.86775727144315 0.1864018396 0.2234514112 -1.778503546 +195 -15 1.91145940698713 0.02105936535 0.2210593654 -1.787430782 +200 -15 1.95534775238972 -0.1485265231 0.2225649194 -1.781811978 +205 -15 1.99905577378885 -0.3209763384 0.2282514815 -1.760589439 +210 -15 2.04213965675519 -0.4946414246 0.2383853084 -1.722769483 +215 -15 2.08407158081017 -0.6675802856 0.2532007619 -1.667477458 +220 -15 2.12423617832310 -0.8375465843 0.2728820348 -1.594025947 +225 -15 2.16193544412545 -1.001997279 0.2975410421 -1.501997279 + +135 -20 1.49660169198653 1.524859487 0.3269816524 -1.024859487 +140 -20 1.53131155287055 1.448143846 0.2887304382 -1.129953834 +145 -20 1.56728866563988 1.361485493 0.2521969424 -1.230328789 +150 -20 1.60442555313648 1.265103958 0.2176670355 -1.325198929 +155 -20 1.64262231035560 1.159259969 0.1854234087 -1.413787565 +160 -20 1.68178875262260 1.044253038 0.1557469622 -1.495322932 +165 -20 1.72183475654976 0.9204184728 0.1289222944 -1.569023101 +170 -20 1.76266907726919 0.7881337504 0.1052407168 -1.634087700 +175 -20 1.80419209319447 0.6478283188 0.08500480327 -1.689685416 +180 -20 1.84628947797482 0.5000000000 0.06853180812 -1.734944598 +185 -20 1.88882103293484 0.3452375227 0.05615732543 -1.768943210 +190 -20 1.93161146267084 0.1842501736 0.04823622670 -1.790706250 +195 -20 1.97444082499099 0.01790298515 0.04514091331 -1.799210554 +200 -20 2.01703296445369 -0.1527432869 0.04725671314 -1.793397441 +205 -20 2.05904364819848 -0.3263890260 0.05497304813 -1.772196985 +210 -20 2.10004891361684 -0.5014523472 0.06866948045 -1.734566347 +215 -20 2.13953580382724 -0.6760303614 0.08869546131 -1.679545416 +220 -20 2.17689543378823 -0.8478707218 0.1153437755 -1.606329775 +225 -20 2.21142351859430 -1.014363097 0.1488169089 -1.514363097 + +135 -25 1.54279079780868 1.536050259 0.2168818299 -1.036050259 +140 -25 1.58174925285060 1.457475054 0.1679082986 -1.141074336 +145 -25 1.62150828762040 1.368832213 0.1213956682 -1.240820994 +150 -25 1.66192237318139 1.270505154 0.07768721466 -1.334554075 +155 -25 1.70286876113192 1.162895511 0.03710448894 -1.421584011 +160 -25 1.74424530505592 1.046411551 -4.595576860e-05 -1.501253397 +165 -25 1.78596045517231 0.9214610767 -0.03346191450 -1.572914152 +170 -25 1.82793073397282 0.7884551605 -0.06283759765 -1.635910507 +175 -25 1.87007205166328 0.6478171642 -0.08785379630 -1.689557919 +180 -25 1.91229263729307 0.5000000000 -0.1081697903 -1.733125708 +185 -25 1.95447993116013 0.3455109359 -0.1234144947 -1.765818082 +190 -25 1.99648940196343 0.1849455725 -0.1331810122 -1.786762447 +195 -25 2.03813430283121 0.01902950863 -0.1370251891 -1.795006311 +200 -25 2.07917237962838 -0.1513325852 -0.1344676127 -1.789521570 +205 -25 2.11929177815988 -0.3250013380 -0.1250013380 -1.769221079 +210 -25 2.15809648553635 -0.5005428007 -0.1081069589 -1.732990966 +215 -25 2.19509317751600 -0.6761689279 -0.08327716916 -1.679743310 +220 -25 2.22967866194904 -0.8496840251 -0.05005157149 -1.608490786 +225 -25 2.26113626064530 -1.018450079 -0.008064900450 -1.518450079 + +135 -30 1.59321311216878 1.543002812 0.09782204567 -1.043002812 +140 -30 1.63639683555891 1.461970416 0.03810734974 -1.146431699 +145 -30 1.67978320220575 1.370988407 -0.01816620649 -1.243900358 +150 -30 1.72320715150800 1.270641666 -0.07064166602 -1.334790520 +155 -30 1.76654507702404 1.161489132 -0.1190106284 -1.418568020 +160 -30 1.80971030398740 1.044047017 -0.1629982949 -1.494756894 +165 -30 1.85263558226866 0.9187783143 -0.2023418593 -1.562901946 +170 -30 1.89526861891263 0.7860979740 -0.2367751981 -1.622542238 +175 -30 1.93756177786071 0.6463844549 -0.2660120644 -1.673181976 +180 -30 1.97946314204548 0.5000000000 -0.2897315710 -1.714265367 +185 -30 2.02090366994872 0.3473189936 -0.3075639128 -1.745151889 +190 -30 2.06178346200182 0.1887659800 -0.3190785579 -1.765095839 +195 -30 2.10195999798089 0.02486324180 -0.3237774287 -1.773234522 +200 -30 2.14123384090187 -0.1437118033 -0.3210922431 -1.768583644 +205 -30 2.17933241449382 -0.3160588286 -0.3103882622 -1.750043805 +210 -30 2.21589260690889 -0.4909773000 -0.2909773000 -1.716423033 +215 -30 2.25044256412673 -0.6668823586 -0.2621430891 -1.666480714 +220 -30 2.28238231723446 -0.8417187199 -0.2231819862 -1.598998105 +225 -30 2.31097655628827 -1.012889285 -0.1734670362 -1.512889285 + +135 -35 1.64843195117109 1.544590350 -0.03143003733 -1.044590350 +140 -35 1.69563661389196 1.460484847 -0.1015004480 -1.144661267 +145 -35 1.74229688623896 1.366867292 -0.1668672924 -1.238014796 +150 -35 1.78826616487609 1.264546476 -0.2272381679 -1.324233341 +155 -35 1.83345578757339 1.154233758 -0.2823973534 -1.403008822 +160 -35 1.87782698097194 1.036529538 -0.3321778860 -1.474102791 +165 -35 1.92136902861635 0.9119178180 -0.3764278059 -1.537298225 +170 -35 1.96408718674447 0.7807762860 -0.4149834882 -1.592361446 +175 -35 2.00599202493143 0.6433946903 -0.4476463243 -1.639008811 +180 -35 2.04708812783192 0.5000000000 -0.4741615133 -1.676876425 +185 -35 2.08736189517115 0.3507887325 -0.4941987689 -1.705492591 +190 -35 2.12676855114109 0.1959675828 -0.5073353127 -1.724253520 +195 -35 2.16521799534139 0.03580397158 -0.5130417538 -1.732403163 +200 -35 2.20255984353294 -0.1293116604 -0.5106725413 -1.729019577 +205 -35 2.23856565496037 -0.2987894943 -0.4994622339 -1.713009599 +210 -35 2.27290822502056 -0.4717479467 -0.4785310822 -1.683116816 +215 -35 2.30513810391832 -0.6469048947 -0.4469048947 -1.637949939 +220 -35 2.33465862890693 -0.8224556594 -0.4035559870 -1.576041283 +225 -35 2.36070983682659 -0.9959517817 -0.3474767144 -1.495951782 + +135 -40 1.70902027236854 1.539290096 -0.1720679360 -1.039290096 +140 -40 1.75979804693120 1.451551318 -0.2515513181 -1.134014702 +145 -40 1.80913344945031 1.355148596 -0.3247745598 -1.221278763 +150 -40 1.85695372903815 1.251103888 -0.3916267452 -1.300950095 +155 -40 1.90325496946395 1.140244447 -0.4520910487 -1.373008646 +160 -40 1.94808520962587 1.023203883 -0.5061980455 -1.437490854 +165 -40 1.99152177064491 0.9004332169 -0.5539816283 -1.494437111 +170 -40 2.03365241660793 0.7722220544 -0.5954422774 -1.543847988 +175 -40 2.07456405061292 0.6387264966 -0.6305192633 -1.585651112 +180 -40 2.11433143017347 0.5000000000 -0.6590660461 -1.619671843 +185 -40 2.15300455151584 0.3560281720 -0.6808269882 -1.645605524 +190 -40 2.19059883988264 0.2067693025 -0.6954175880 -1.662993924 +195 -40 2.22708120609622 0.05220309170 -0.7023039860 -1.671200813 +200 -40 2.26235432616874 -0.1076082105 -0.7007843974 -1.669389838 +205 -40 2.29623771172562 -0.2724416678 -0.6899739950 -1.656506502 +210 -40 2.32844416693141 -0.4418131636 -0.6687965875 -1.631268251 +215 -40 2.35855084648336 -0.6148494581 -0.6359892861 -1.592170031 +220 -40 2.38596807809825 -0.7901315998 -0.5901315998 -1.537518969 +225 -40 2.40990857825036 -0.9655145744 -0.5297127388 -1.465514574 + +135 -45 1.77551166214695 1.525092136 -0.3250921361 -1.025092136 +140 -45 1.82909431364028 1.433338550 -0.4123095701 -1.112309570 +145 -45 1.88021455083580 1.334274899 -0.4914680337 -1.191468034 +150 -45 1.92894056977876 1.229071006 -0.5627880246 -1.262788025 +155 -45 1.97540949212636 1.118590816 -0.6265722867 -1.326572287 +160 -45 2.01979646255253 1.003421280 -0.6831385985 -1.383138598 +165 -45 2.06229242969564 0.8839097344 -0.7327706344 -1.432770634 +170 -45 2.10308620504770 0.7602023012 -0.7756805800 -1.475680580 +175 -45 2.14235151016809 0.6322811766 -0.8119807676 -1.511980768 +180 -45 2.18023911871036 0.5000000000 -0.8416618654 -1.541661865 +185 -45 2.21686639467816 0.3631178433 -0.8645702105 -1.564570210 +190 -45 2.25230959404201 0.2213351798 -0.8803867288 -1.580386729 +195 -45 2.28659323772120 0.07433514764 -0.8886028560 -1.588602856 +200 -45 2.31967481572754 -0.07816403084 -0.8884926195 -1.588492619 +205 -45 2.35142567096340 -0.2363386332 -0.8790832947 -1.579083295 +210 -45 2.38160544127551 -0.4001622455 -0.8591267443 -1.559126744 +215 -45 2.40982796600917 -0.5692710475 -0.8270773151 -1.527077315 +220 -45 2.43552101260070 -0.7427820881 -0.7810900183 -1.481090018 +225 -45 2.45787967578506 -0.9190574925 -0.7190574925 -1.419057492 + + diff --git a/test/checkpointML-EE/phi.d.asc b/test/checkpointML-EE/phi.d.asc new file mode 100644 index 0000000..9a7f3a3 --- /dev/null +++ b/test/checkpointML-EE/phi.d.asc @@ -0,0 +1,68 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 13:47:06-0500 +# parameter filename: "checkpointML-new.par" +# +# phi d (phi) +# +# iteration 0 time 0 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 -0.473684210526316 -3.38709677419355 -0.473684210526316 0.0385224547254099 +0 0 0 0 0 1 1 1 0 -0.315789473684211 -3.19354838709677 -0.315789473684211 0.0407617201494096 +0 0 0 0 0 2 2 2 0 -0.157894736842105 -3 -0.157894736842105 0.0431503360466634 +0 0 0 0 0 3 3 3 0 0 -2.80645161290323 0 0.0456532124216328 +0 0 0 0 0 4 4 4 0 0.157894736842105 -2.61290322580645 0.157894736842105 0.0482000927959825 +0 0 0 0 0 5 5 5 0 0.315789473684211 -2.41935483870968 0.315789473684211 0.0506712207335806 +0 0 0 0 0 6 6 6 0 0.473684210526316 -2.2258064516129 0.473684210526316 0.0528893818908836 +0 0 0 0 0 7 7 7 0 0.631578947368421 -2.03225806451613 0.631578947368421 0.0546338178970476 +0 0 0 0 0 8 8 8 0 0.789473684210526 -1.83870967741935 0.789473684210526 0.0556903984611607 +0 0 0 0 0 9 9 9 0 0.947368421052632 -1.64516129032258 0.947368421052632 0.0559267148338962 +0 0 0 0 0 10 10 10 0 1.10526315789474 -1.45161290322581 1.10526315789474 0.0553438005328095 +0 0 0 0 0 11 11 11 0 1.26315789473684 -1.25806451612903 1.26315789473684 0.0540632060270332 +0 0 0 0 0 12 12 12 0 1.42105263157895 -1.06451612903226 1.42105263157895 0.0522667022791265 +0 0 0 0 0 13 13 13 0 1.57894736842105 -0.870967741935484 1.57894736842105 0.0501382546569189 +0 0 0 0 0 14 14 14 0 1.73684210526316 -0.67741935483871 1.73684210526316 0.0478334037025984 +0 0 0 0 0 15 15 15 0 1.89473684210526 -0.483870967741935 1.89473684210526 0.0454709118855869 +0 0 0 0 0 16 16 16 0 2.05263157894737 -0.290322580645161 2.05263157894737 0.0431349095810428 +0 0 0 0 0 17 17 17 0 2.21052631578947 -0.0967741935483871 2.21052631578947 0.0408806630587269 +0 0 0 0 0 18 18 18 0 2.36842105263158 0.0967741935483871 2.36842105263158 0.0387411320420923 +0 0 0 0 0 19 19 19 0 2.52631578947368 0.290322580645161 2.52631578947368 0.0367330971165576 +0 0 0 0 0 20 20 20 0 2.68421052631579 0.483870967741935 2.68421052631579 0.0348622833774562 +0 0 0 0 0 21 21 21 0 2.84210526315789 0.67741935483871 2.84210526315789 0.0331273048498803 +0 0 0 0 0 22 22 22 0 3 0.870967741935484 3 0.0315225103002711 +0 0 0 0 0 23 23 23 0 3.1578947368421 1.06451612903226 3.1578947368421 0.0300399316847988 +0 0 0 0 0 24 24 24 0 3.31578947368421 1.25806451612903 3.31578947368421 0.0286705594694916 + + +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0394736842105263 -0.473684210526316 -3.38709677419355 -0.473684210526316 0.0384406247906534 +1 0 0 0 0 1 1 1 0.0394736842105263 -0.315789473684211 -3.19354838709677 -0.315789473684211 0.0406666370025037 +1 0 0 0 0 2 2 2 0.0394736842105263 -0.157894736842105 -3 -0.157894736842105 0.0430525505227037 +1 0 0 0 0 3 3 3 0.0394736842105263 0 -2.80645161290323 0 0.04564620655957 +1 0 0 0 0 4 4 4 0.0394736842105263 0.157894736842105 -2.61290322580645 0.157894736842105 0.0482010619875953 +1 0 0 0 0 5 5 5 0.0394736842105263 0.315789473684211 -2.41935483870968 0.315789473684211 0.0506729792141753 +1 0 0 0 0 6 6 6 0.0394736842105263 0.473684210526316 -2.2258064516129 0.473684210526316 0.052892392237135 +1 0 0 0 0 7 7 7 0.0394736842105263 0.631578947368421 -2.03225806451613 0.631578947368421 0.0546408107429382 +1 0 0 0 0 8 8 8 0.0394736842105263 0.789473684210526 -1.83870967741935 0.789473684210526 0.0557027100730308 +1 0 0 0 0 9 9 9 0.0394736842105263 0.947368421052632 -1.64516129032258 0.947368421052632 0.0559437954598279 +1 0 0 0 0 10 10 10 0.0394736842105263 1.10526315789474 -1.45161290322581 1.10526315789474 0.0553631134251446 +1 0 0 0 0 11 11 11 0.0394736842105263 1.26315789473684 -1.25806451612903 1.26315789473684 0.0540817335898399 +1 0 0 0 0 12 12 12 0.0394736842105263 1.42105263157895 -1.06451612903226 1.42105263157895 0.0522824073865821 +1 0 0 0 0 13 13 13 0.0394736842105263 1.57894736842105 -0.870967741935484 1.57894736842105 0.0501504749871223 +1 0 0 0 0 14 14 14 0.0394736842105263 1.73684210526316 -0.67741935483871 1.73684210526316 0.0478424465066951 +1 0 0 0 0 15 15 15 0.0394736842105263 1.89473684210526 -0.483870967741935 1.89473684210526 0.0454774811494491 +1 0 0 0 0 16 16 16 0.0394736842105263 2.05263157894737 -0.290322580645161 2.05263157894737 0.0431397175705961 +1 0 0 0 0 17 17 17 0.0394736842105263 2.21052631578947 -0.0967741935483871 2.21052631578947 0.04088426951101 +1 0 0 0 0 18 18 18 0.0394736842105263 2.36842105263158 0.0967741935483871 2.36842105263158 0.0387438868412051 +1 0 0 0 0 19 19 19 0.0394736842105263 2.52631578947368 0.290322580645161 2.52631578947368 0.0367357717168989 +1 0 0 0 0 20 20 20 0.0394736842105263 2.68421052631579 0.483870967741935 2.68421052631579 0.0348648154509183 +1 0 0 0 0 21 21 21 0.0394736842105263 2.84210526315789 0.67741935483871 2.84210526315789 0.0331344346163063 +1 0 0 0 0 22 22 22 0.0394736842105263 3 0.870967741935484 3 0.0314739539301068 +1 0 0 0 0 23 23 23 0.0394736842105263 3.1578947368421 1.06451612903226 3.1578947368421 0.029996942219295 +1 0 0 0 0 24 24 24 0.0394736842105263 3.31578947368421 1.25806451612903 3.31578947368421 0.0286333051946212 + + diff --git a/test/checkpointML-EE/phi.x.asc b/test/checkpointML-EE/phi.x.asc new file mode 100644 index 0000000..2362f56 --- /dev/null +++ b/test/checkpointML-EE/phi.x.asc @@ -0,0 +1,68 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 13:47:06-0500 +# parameter filename: "checkpointML-new.par" +# +# phi x (phi) +# +# iteration 0 time 0 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 18 3 0 -0.473684210526316 0.0967741935483871 0 0 +0 0 0 0 0 1 18 3 0 -0.315789473684211 0.0967741935483871 0 0 +0 0 0 0 0 2 18 3 0 -0.157894736842105 0.0967741935483871 0 0 +0 0 0 0 0 3 18 3 0 0 0.0967741935483871 0 0 +0 0 0 0 0 4 18 3 0 0.157894736842105 0.0967741935483871 0 0 +0 0 0 0 0 5 18 3 0 0.315789473684211 0.0967741935483871 0 0 +0 0 0 0 0 6 18 3 0 0.473684210526316 0.0967741935483871 0 0 +0 0 0 0 0 7 18 3 0 0.631578947368421 0.0967741935483871 0 0 +0 0 0 0 0 8 18 3 0 0.789473684210526 0.0967741935483871 0 0 +0 0 0 0 0 9 18 3 0 0.947368421052632 0.0967741935483871 0 0 +0 0 0 0 0 10 18 3 0 1.10526315789474 0.0967741935483871 0 0.0954322327018387 +0 0 0 0 0 11 18 3 0 1.26315789473684 0.0967741935483871 0 0.0855778361054629 +0 0 0 0 0 12 18 3 0 1.42105263157895 0.0967741935483871 0 0.0779496974951371 +0 0 0 0 0 13 18 3 0 1.57894736842105 0.0967741935483871 0 0.0717805744971315 +0 0 0 0 0 14 18 3 0 1.73684210526316 0.0967741935483871 0 0.066642711739715 +0 0 0 0 0 15 18 3 0 1.89473684210526 0.0967741935483871 0 0.0622719761229837 +0 0 0 0 0 16 18 3 0 2.05263157894737 0.0967741935483871 0 0.0584933160934993 +0 0 0 0 0 17 18 3 0 2.21052631578947 0.0967741935483871 0 0.0551845481750153 +0 0 0 0 0 18 18 3 0 2.36842105263158 0.0967741935483871 0 0.0522569489898341 +0 0 0 0 0 19 18 3 0 2.52631578947368 0.0967741935483871 0 0.0496440522995598 +0 0 0 0 0 20 18 3 0 2.68421052631579 0.0967741935483871 0 0.0472947950689567 +0 0 0 0 0 21 18 3 0 2.84210526315789 0.0967741935483871 0 0.0451691234847827 +0 0 0 0 0 22 18 3 0 3 0.0967741935483871 0 0.0432350657386359 +0 0 0 0 0 23 18 3 0 3.1578947368421 0.0967741935483871 0 0.0414667183811882 +0 0 0 0 0 24 18 3 0 3.31578947368421 0.0967741935483871 0 0.0398428229591822 + + +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 18 3 0.0394736842105263 -0.473684210526316 0.0967741935483871 0 0 +1 0 0 0 0 1 18 3 0.0394736842105263 -0.315789473684211 0.0967741935483871 0 0 +1 0 0 0 0 2 18 3 0.0394736842105263 -0.157894736842105 0.0967741935483871 0 0 +1 0 0 0 0 3 18 3 0.0394736842105263 0 0.0967741935483871 0 0 +1 0 0 0 0 4 18 3 0.0394736842105263 0.157894736842105 0.0967741935483871 0 0 +1 0 0 0 0 5 18 3 0.0394736842105263 0.315789473684211 0.0967741935483871 0 0 +1 0 0 0 0 6 18 3 0.0394736842105263 0.473684210526316 0.0967741935483871 0 0 +1 0 0 0 0 7 18 3 0.0394736842105263 0.631578947368421 0.0967741935483871 0 0 +1 0 0 0 0 8 18 3 0.0394736842105263 0.789473684210526 0.0967741935483871 0 -2.03812640905219e-06 +1 0 0 0 0 9 18 3 0.0394736842105263 0.947368421052632 0.0967741935483871 0 0.0105872761869346 +1 0 0 0 0 10 18 3 0.0394736842105263 1.10526315789474 0.0967741935483871 0 0.107450238382007 +1 0 0 0 0 11 18 3 0.0394736842105263 1.26315789473684 0.0967741935483871 0 0.0856014999057418 +1 0 0 0 0 12 18 3 0.0394736842105263 1.42105263157895 0.0967741935483871 0 0.0779585526064409 +1 0 0 0 0 13 18 3 0.0394736842105263 1.57894736842105 0.0967741935483871 0 0.0717830053079382 +1 0 0 0 0 14 18 3 0.0394736842105263 1.73684210526316 0.0967741935483871 0 0.0666425334197477 +1 0 0 0 0 15 18 3 0.0394736842105263 1.89473684210526 0.0967741935483871 0 0.0622707708007355 +1 0 0 0 0 16 18 3 0.0394736842105263 2.05263157894737 0.0967741935483871 0 0.0584917706590999 +1 0 0 0 0 17 18 3 0.0394736842105263 2.21052631578947 0.0967741935483871 0 0.0551829645600727 +1 0 0 0 0 18 18 3 0.0394736842105263 2.36842105263158 0.0967741935483871 0 0.0522553774700101 +1 0 0 0 0 19 18 3 0.0394736842105263 2.52631578947368 0.0967741935483871 0 0.0496437292985454 +1 0 0 0 0 20 18 3 0.0394736842105263 2.68421052631579 0.0967741935483871 0 0.0472934540016682 +1 0 0 0 0 21 18 3 0.0394736842105263 2.84210526315789 0.0967741935483871 0 0.0451615464395039 +1 0 0 0 0 22 18 3 0.0394736842105263 3 0.0967741935483871 0 0.0431387468321813 +1 0 0 0 0 23 18 3 0.0394736842105263 3.1578947368421 0.0967741935483871 0 0.0413694534038679 +1 0 0 0 0 24 18 3 0.0394736842105263 3.31578947368421 0.0967741935483871 0 0.0397529483430217 + + diff --git a/test/checkpointML-EE/phi.y.asc b/test/checkpointML-EE/phi.y.asc new file mode 100644 index 0000000..eb16a29 --- /dev/null +++ b/test/checkpointML-EE/phi.y.asc @@ -0,0 +1,90 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 13:47:06-0500 +# parameter filename: "checkpointML-new.par" +# +# phi y (phi) +# +# iteration 0 time 0 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 -3.38709677419355 0 0.0391651222127438 +0 0 0 0 0 3 1 3 0 0 -3.19354838709677 0 0.0411035200780633 +0 0 0 0 0 3 2 3 0 0 -3 0 0.0432533402490022 +0 0 0 0 0 3 3 3 0 0 -2.80645161290323 0 0.0456532124216328 +0 0 0 0 0 3 4 3 0 0 -2.61290322580645 0 0.0483524166720016 +0 0 0 0 0 3 5 3 0 0 -2.41935483870968 0 0.0514150876235369 +0 0 0 0 0 3 6 3 0 0 -2.2258064516129 0 0.0549267237371108 +0 0 0 0 0 3 7 3 0 0 -2.03225806451613 0 0.0590047255312973 +0 0 0 0 0 3 8 3 0 0 -1.83870967741935 0 0.0638164290276061 +0 0 0 0 0 3 9 3 0 0 -1.64516129032258 0 0.0696122261356655 +0 0 0 0 0 3 10 3 0 0 -1.45161290322581 0 0.0767923409029314 +0 0 0 0 0 3 11 3 0 0 -1.25806451612903 0 0.0860600001086798 +0 0 0 0 0 3 12 3 0 0 -1.06451612903226 0 0.0988470523532852 +0 0 0 0 0 3 13 3 0 0 -0.870967741935484 0 0 +0 0 0 0 0 3 14 3 0 0 -0.67741935483871 0 0 +0 0 0 0 0 3 15 3 0 0 -0.483870967741935 0 0 +0 0 0 0 0 3 16 3 0 0 -0.290322580645161 0 0 +0 0 0 0 0 3 17 3 0 0 -0.0967741935483871 0 0 +0 0 0 0 0 3 18 3 0 0 0.0967741935483871 0 0 +0 0 0 0 0 3 19 3 0 0 0.290322580645161 0 0 +0 0 0 0 0 3 20 3 0 0 0.483870967741935 0 0 +0 0 0 0 0 3 21 3 0 0 0.67741935483871 0 0 +0 0 0 0 0 3 22 3 0 0 0.870967741935484 0 0 +0 0 0 0 0 3 23 3 0 0 1.06451612903226 0 0.0988470523532852 +0 0 0 0 0 3 24 3 0 0 1.25806451612903 0 0.0860600001086799 +0 0 0 0 0 3 25 3 0 0 1.45161290322581 0 0.0767923409029314 +0 0 0 0 0 3 26 3 0 0 1.64516129032258 0 0.0696122261356655 +0 0 0 0 0 3 27 3 0 0 1.83870967741935 0 0.0638164290276061 +0 0 0 0 0 3 28 3 0 0 2.03225806451613 0 0.0590047255312973 +0 0 0 0 0 3 29 3 0 0 2.2258064516129 0 0.0549267237371108 +0 0 0 0 0 3 30 3 0 0 2.41935483870968 0 0.0514150876235369 +0 0 0 0 0 3 31 3 0 0 2.61290322580645 0 0.0483524166720016 +0 0 0 0 0 3 32 3 0 0 2.80645161290323 0 0.0456532124216328 +0 0 0 0 0 3 33 3 0 0 3 0 0.0432533402490022 +0 0 0 0 0 3 34 3 0 0 3.19354838709677 0 0.0411035200780633 +0 0 0 0 0 3 35 3 0 0 3.38709677419355 0 0.0391651222127438 + + +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0394736842105263 0 -3.38709677419355 0 0.0390795937537406 +1 0 0 0 0 3 1 3 0.0394736842105263 0 -3.19354838709677 0 0.0410063856680445 +1 0 0 0 0 3 2 3 0.0394736842105263 0 -3 0 0.0431549548350437 +1 0 0 0 0 3 3 3 0.0394736842105263 0 -2.80645161290323 0 0.04564620655957 +1 0 0 0 0 3 4 3 0.0394736842105263 0 -2.61290322580645 0 0.0483538723940632 +1 0 0 0 0 3 5 3 0.0394736842105263 0 -2.41935483870968 0 0.0514176216252329 +1 0 0 0 0 3 6 3 0.0394736842105263 0 -2.2258064516129 0 0.0549297828536417 +1 0 0 0 0 3 7 3 0.0394736842105263 0 -2.03225806451613 0 0.0590102024218103 +1 0 0 0 0 3 8 3 0.0394736842105263 0 -1.83870967741935 0 0.0638264270205443 +1 0 0 0 0 3 9 3 0.0394736842105263 0 -1.64516129032258 0 0.0696314782288989 +1 0 0 0 0 3 10 3 0.0394736842105263 0 -1.45161290322581 0 0.0768323518616486 +1 0 0 0 0 3 11 3 0.0394736842105263 0 -1.25806451612903 0 0.0861525120870256 +1 0 0 0 0 3 12 3 0.0394736842105263 0 -1.06451612903226 0 0.108088909124338 +1 0 0 0 0 3 13 3 0.0394736842105263 0 -0.870967741935484 0 0.00829179022200668 +1 0 0 0 0 3 14 3 0.0394736842105263 0 -0.67741935483871 0 -8.66921704726186e-07 +1 0 0 0 0 3 15 3 0.0394736842105263 0 -0.483870967741935 0 0 +1 0 0 0 0 3 16 3 0.0394736842105263 0 -0.290322580645161 0 0 +1 0 0 0 0 3 17 3 0.0394736842105263 0 -0.0967741935483871 0 0 +1 0 0 0 0 3 18 3 0.0394736842105263 0 0.0967741935483871 0 0 +1 0 0 0 0 3 19 3 0.0394736842105263 0 0.290322580645161 0 0 +1 0 0 0 0 3 20 3 0.0394736842105263 0 0.483870967741935 0 0 +1 0 0 0 0 3 21 3 0.0394736842105263 0 0.67741935483871 0 -8.66921704726187e-07 +1 0 0 0 0 3 22 3 0.0394736842105263 0 0.870967741935484 0 0.00829179022200667 +1 0 0 0 0 3 23 3 0.0394736842105263 0 1.06451612903226 0 0.108088909124338 +1 0 0 0 0 3 24 3 0.0394736842105263 0 1.25806451612903 0 0.0861525120870257 +1 0 0 0 0 3 25 3 0.0394736842105263 0 1.45161290322581 0 0.0768323518616486 +1 0 0 0 0 3 26 3 0.0394736842105263 0 1.64516129032258 0 0.0696314782288989 +1 0 0 0 0 3 27 3 0.0394736842105263 0 1.83870967741935 0 0.0638264270205443 +1 0 0 0 0 3 28 3 0.0394736842105263 0 2.03225806451613 0 0.0590102024218103 +1 0 0 0 0 3 29 3 0.0394736842105263 0 2.2258064516129 0 0.0549297828536417 +1 0 0 0 0 3 30 3 0.0394736842105263 0 2.41935483870968 0 0.0514176216252329 +1 0 0 0 0 3 31 3 0.0394736842105263 0 2.61290322580645 0 0.0483538723940632 +1 0 0 0 0 3 32 3 0.0394736842105263 0 2.80645161290323 0 0.04564620655957 +1 0 0 0 0 3 33 3 0.0394736842105263 0 3 0 0.0431549548350437 +1 0 0 0 0 3 34 3 0.0394736842105263 0 3.19354838709677 0 0.0410063856680446 +1 0 0 0 0 3 35 3 0.0394736842105263 0 3.38709677419355 0 0.0390795937537406 + + diff --git a/test/checkpointML-EE/phi.z.asc b/test/checkpointML-EE/phi.z.asc new file mode 100644 index 0000000..11dea84 --- /dev/null +++ b/test/checkpointML-EE/phi.z.asc @@ -0,0 +1,68 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 13:47:06-0500 +# parameter filename: "checkpointML-new.par" +# +# phi z (phi) +# +# iteration 0 time 0 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 18 0 0 0 0.0967741935483871 -0.473684210526316 0 +0 0 0 0 0 3 18 1 0 0 0.0967741935483871 -0.315789473684211 0 +0 0 0 0 0 3 18 2 0 0 0.0967741935483871 -0.157894736842105 0 +0 0 0 0 0 3 18 3 0 0 0.0967741935483871 0 0 +0 0 0 0 0 3 18 4 0 0 0.0967741935483871 0.157894736842105 0 +0 0 0 0 0 3 18 5 0 0 0.0967741935483871 0.315789473684211 0 +0 0 0 0 0 3 18 6 0 0 0.0967741935483871 0.473684210526316 0 +0 0 0 0 0 3 18 7 0 0 0.0967741935483871 0.631578947368421 0 +0 0 0 0 0 3 18 8 0 0 0.0967741935483871 0.789473684210526 0 +0 0 0 0 0 3 18 9 0 0 0.0967741935483871 0.947368421052632 0 +0 0 0 0 0 3 18 10 0 0 0.0967741935483871 1.10526315789474 0.0728605034406997 +0 0 0 0 0 3 18 11 0 0 0.0967741935483871 1.26315789473684 0.0690836399681641 +0 0 0 0 0 3 18 12 0 0 0.0967741935483871 1.42105263157895 0.0654595927457506 +0 0 0 0 0 3 18 13 0 0 0.0967741935483871 1.57894736842105 0.0620634231951677 +0 0 0 0 0 3 18 14 0 0 0.0967741935483871 1.73684210526316 0.0589178530075244 +0 0 0 0 0 3 18 15 0 0 0.0967741935483871 1.89473684210526 0.0560204842413863 +0 0 0 0 0 3 18 16 0 0 0.0967741935483871 2.05263157894737 0.0533574608984126 +0 0 0 0 0 3 18 17 0 0 0.0967741935483871 2.21052631578947 0.0509103631062759 +0 0 0 0 0 3 18 18 0 0 0.0967741935483871 2.36842105263158 0.0486596609792315 +0 0 0 0 0 3 18 19 0 0 0.0967741935483871 2.52631578947368 0.0465863949183874 +0 0 0 0 0 3 18 20 0 0 0.0967741935483871 2.68421052631579 0.0446729349424924 +0 0 0 0 0 3 18 21 0 0 0.0967741935483871 2.84210526315789 0.0429032629826683 +0 0 0 0 0 3 18 22 0 0 0.0967741935483871 3 0.0412630124133166 +0 0 0 0 0 3 18 23 0 0 0.0967741935483871 3.1578947368421 0.0397393894108249 +0 0 0 0 0 3 18 24 0 0 0.0967741935483871 3.31578947368421 0.038321042412072 + + +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 18 0 0.0394736842105263 0 0.0967741935483871 -0.473684210526316 0 +1 0 0 0 0 3 18 1 0.0394736842105263 0 0.0967741935483871 -0.315789473684211 0 +1 0 0 0 0 3 18 2 0.0394736842105263 0 0.0967741935483871 -0.157894736842105 0 +1 0 0 0 0 3 18 3 0.0394736842105263 0 0.0967741935483871 0 0 +1 0 0 0 0 3 18 4 0.0394736842105263 0 0.0967741935483871 0.157894736842105 0 +1 0 0 0 0 3 18 5 0.0394736842105263 0 0.0967741935483871 0.315789473684211 0 +1 0 0 0 0 3 18 6 0.0394736842105263 0 0.0967741935483871 0.473684210526316 0 +1 0 0 0 0 3 18 7 0.0394736842105263 0 0.0967741935483871 0.631578947368421 0 +1 0 0 0 0 3 18 8 0.0394736842105263 0 0.0967741935483871 0.789473684210526 -1.41495456420149e-06 +1 0 0 0 0 3 18 9 0.0394736842105263 0 0.0967741935483871 0.947368421052632 0.0105680824422288 +1 0 0 0 0 3 18 10 0.0394736842105263 0 0.0967741935483871 1.10526315789474 0.0846124156223322 +1 0 0 0 0 3 18 11 0.0394736842105263 0 0.0967741935483871 1.26315789473684 0.0690945541496187 +1 0 0 0 0 3 18 12 0.0394736842105263 0 0.0967741935483871 1.42105263157895 0.0654660179691265 +1 0 0 0 0 3 18 13 0.0394736842105263 0 0.0967741935483871 1.57894736842105 0.0620665261138942 +1 0 0 0 0 3 18 14 0.0394736842105263 0 0.0967741935483871 1.73684210526316 0.0589191376224863 +1 0 0 0 0 3 18 15 0.0394736842105263 0 0.0967741935483871 1.89473684210526 0.0560207768783959 +1 0 0 0 0 3 18 16 0.0394736842105263 0 0.0967741935483871 2.05263157894737 0.0533572231651307 +1 0 0 0 0 3 18 17 0.0394736842105263 0 0.0967741935483871 2.21052631578947 0.0509098556920037 +1 0 0 0 0 3 18 18 0.0394736842105263 0 0.0967741935483871 2.36842105263158 0.0486589283887277 +1 0 0 0 0 3 18 19 0.0394736842105263 0 0.0967741935483871 2.52631578947368 0.046587044381888 +1 0 0 0 0 3 18 20 0.0394736842105263 0 0.0967741935483871 2.68421052631579 0.0446721257241105 +1 0 0 0 0 3 18 21 0.0394736842105263 0 0.0967741935483871 2.84210526315789 0.0428924594327551 +1 0 0 0 0 3 18 22 0.0394736842105263 0 0.0967741935483871 3 0.0411316971390306 +1 0 0 0 0 3 18 23 0.0394736842105263 0 0.0967741935483871 3.1578947368421 0.0396081268516065 +1 0 0 0 0 3 18 24 0.0394736842105263 0 0.0967741935483871 3.31578947368421 0.0382010380269512 + + diff --git a/test/recoverML-EE.par b/test/recoverML-EE.par new file mode 100644 index 0000000..4162ed6 --- /dev/null +++ b/test/recoverML-EE.par @@ -0,0 +1,136 @@ +# $Header$ + +# 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" +carpet::domain_from_coordbase = "true" +driver::ghost_size = 3 + +ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase ReflectionSymmetry" +grid::domain = "full" +grid::avoid_origin = "false" +grid::type = "coordbase" +CoordBase::domainsize = "minmax" +CoordBase::spacing = "numcells" +CoordBase::xmin = 0.0 +CoordBase::ymin = -3.0 +CoordBase::zmin = 0.0 +CoordBase::xmax = 3.0 +CoordBase::ymax = 3.0 +CoordBase::zmax = 3.0 +CoordBase::ncells_x = 19 +CoordBase::ncells_y = 31 +CoordBase::ncells_z = 19 + +ReflectionSymmetry::reflection_z = "yes" +ReflectionSymmetry::avoid_origin_z = "no" + +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 +CoordBase::boundary_shiftout_x_lower = 1 +CoordBase::boundary_shiftout_z_lower = 1 + +ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask KerrSchild ADMMacros ML_BSSN ML_BSSN_Helper GenericFD TmunuBase NewRad MoL" +ADMBase::initial_lapse = "KerrSchild" +ADMBase::initial_shift = "KerrSchild" +ADMBase::initial_data = "KerrSchild" +ADMBase::initial_dtlapse = "KerrSchild" +ADMBase::initial_dtshift = "KerrSchild" +ADMBase::lapse_evolution_method = "ML_BSSN" +ADMBase::dtlapse_evolution_method = "ML_BSSN" +ADMBase::shift_evolution_method = "static" +ADMBase::metric_type = "physical" +ADMBase::evolution_method = ML_BSSN +KerrSchild::M = 1.0 +KerrSchild::a = 0.6 + +ML_BSSN::my_initial_boundary_condition = "extrapolate-gammas" +ML_BSSN::my_rhs_boundary_condition = "NewRad" +ML_BSSN::fdOrder = 2 +# These are necessary +ML_BSSN::ML_log_confac_bound = "none" +ML_BSSN::ML_metric_bound = "none" +ML_BSSN::ML_Gamma_bound = "none" +ML_BSSN::ML_trace_curv_bound = "none" +ML_BSSN::ML_curv_bound = "none" +ML_BSSN::ML_lapse_bound = "none" +ML_BSSN::ML_dtlapse_bound = "none" +ML_BSSN::ML_shift_bound = "none" +ML_BSSN::ML_dtshift_bound = "none" + +ML_BSSN::harmonicN = 1 # 1+log +ML_BSSN::LapseAdvectionCoeff = 1 + +# the default of 3 fails in Recovery since Carpet tries to time-interpolate the +# third timelevel for which is had allocated no metadata, see Carpet issue #626 +ML_BSSN::timelevels = 2 # unigrid run + + +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::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-EE" +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 = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" + +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-EE/BH_diagnostics.ah1.gp b/test/recoverML-EE/BH_diagnostics.ah1.gp new file mode 100644 index 0000000..8e57f92 --- /dev/null +++ b/test/recoverML-EE/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 0.079 -0.000012 0.000007 0.000000 1.036578161 2.756956588 1.996054140 1.199203895 -3.558143117e-05 -5.693696044e-16 1.199376576 -1.963591173e-17 1.079229930 -1.895911236 1.896119173 -1.896473699 1.896077216 -1.798803762 1.798803762 12.56740324 10.83681308 11.22788790 0.8622953262 0.8934135146 45.23771048 0.9486704668 1.897340934 -7.412404536e-15 -1.468339683 1.093414715e-14 0.7341698413 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7067024755 0.7475914047 33.16386003 diff --git a/test/recoverML-EE/h.t2.ah1.gp b/test/recoverML-EE/h.t2.ah1.gp new file mode 100644 index 0000000..a483507 --- /dev/null +++ b/test/recoverML-EE/h.t2.ah1.gp @@ -0,0 +1,2337 @@ +# N_patches = 6 +# 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 2.45743130288507 -0.9187986242 -0.7187986242 1.418798624 +-40 -45 2.43507598409714 -0.7425550018 -0.7808193874 1.480819387 +-35 -45 2.40938603631658 -0.5690749577 -0.8267972699 1.526797270 +-30 -45 2.38116585225934 -0.3999960965 -0.8588389657 1.558838966 +-25 -45 2.35098741231513 -0.2362013944 -0.8787889852 1.578788985 +-20 -45 2.31923679270707 -0.07805485641 -0.8881926652 1.588192665 +-15 -45 2.28615437986109 0.07441684401 -0.8882979610 1.588297961 +-10 -45 2.25186889289236 0.2213897051 -0.8800775004 1.580077500 +-5 -45 2.21642293991844 0.3631452248 -0.8642572389 1.564257239 +0 -45 2.17979216875328 0.5000000000 -0.8413458241 1.541345824 +5 -45 2.14190045336512 0.6322533258 -0.8116624309 1.511662431 +10 -45 2.10263064691833 0.7601459377 -0.7753609268 1.475360927 +15 -45 2.06183220629396 0.8838240607 -0.7324508957 1.432450896 +20 -45 2.01933163035256 1.003305423 -0.6828202855 1.382820286 +25 -45 1.97494033376759 1.118443901 -0.6262572267 1.326257227 +30 -45 1.92846764471652 1.228892257 -0.5624784225 1.262478422 +35 -45 1.87973866940085 1.334063744 -0.4911664737 1.191166474 +40 -45 1.82861647940034 1.433094724 -0.4120189893 1.112018989 +45 -45 1.77503309876899 1.524815837 -0.3248158374 1.024815837 + +-45 -40 2.40945772600263 -0.9652404019 -0.5294826808 1.465240402 +-40 -40 2.38552033751318 -0.7898894992 -0.5898894992 1.537230445 +-35 -40 2.35810608938991 -0.6146392285 -0.6357373557 1.591869792 +-30 -40 2.32800175649984 -0.4416342167 -0.6685365126 1.630958305 +-25 -40 2.29579666337738 -0.2722933015 -0.6897070167 1.656188330 +-20 -40 2.26191354092034 -0.1074898273 -0.7005114760 1.669064583 +-15 -40 2.22663960247776 0.05229188448 -0.7020259259 1.670869434 +-10 -40 2.19015539692744 0.2068286612 -0.6951351136 1.662657284 +-5 -40 2.15255833828028 0.3560580104 -0.6805408098 1.645264470 +0 -40 2.11388161784112 0.5000000000 -0.6587769123 1.619327267 +5 -40 2.07411002348655 0.6386961357 -0.6302280735 1.585304086 +10 -40 2.03319382374828 0.7721606678 -0.5951501525 1.543499847 +15 -40 1.99105850834705 0.9003400693 -0.5536899306 1.494089479 +20 -40 1.94761744459460 1.023078254 -0.5059084190 1.437145691 +25 -40 1.90278311457619 1.140085717 -0.4518054224 1.372668250 +30 -40 1.85647846304531 1.250911651 -0.3913473559 1.300617132 +35 -40 1.80865571389186 1.354922778 -0.3245039489 1.220956262 +40 -40 1.75931895707036 1.451292266 -0.2512922664 1.133705976 +45 -40 1.70854108459582 1.538998692 -0.1718234192 1.038998692 + +-45 -35 2.36025710730502 -0.9956648928 -0.3472758326 1.495664893 +-40 -35 2.33420900882644 -0.8222009744 -0.4033434587 1.575737761 +-35 -35 2.30469155816754 -0.6466827190 -0.4466827190 1.637632640 +-30 -35 2.27246413523944 -0.4715580828 -0.4783008161 1.682787962 +-25 -35 2.23812305867604 -0.2986315622 -0.4992250832 1.712670912 +-20 -35 2.20211764562751 -0.1291853163 -0.5104294800 1.728672449 +-15 -35 2.16477502348407 0.03589893929 -0.5127935832 1.732048738 +-10 -35 2.12632370204718 0.1960311762 -0.5070827784 1.723892864 +-5 -35 2.08691419502226 0.3508207356 -0.4939426356 1.705126795 +0 -35 2.04663674486154 0.5000000000 -0.4739026106 1.676506673 +5 -35 2.00553632882634 0.6433621157 -0.4473856164 1.638636481 +10 -35 1.96362683148363 0.7807104759 -0.4147221513 1.591988218 +15 -35 1.92090397478620 0.9118181162 -0.3761672642 1.536926133 +20 -35 1.87735748172821 1.036395393 -0.3319198182 1.473734231 +25 -35 1.83298238266340 1.154064833 -0.2821436948 1.402646560 +30 -35 1.78778963292533 1.264342742 -0.2269910802 1.323880463 +35 -35 1.74181826201951 1.366629156 -0.1666291564 1.237674702 +40 -35 1.69515710167560 1.460213230 -0.1012737902 1.144337566 +45 -35 1.64795281268330 1.544286726 -0.03121743754 1.044286726 + +-45 -30 2.31052205714525 -1.012591746 -0.1732952517 1.512591746 +-40 -30 2.28193099414098 -0.8414534056 -0.2229994342 1.598681915 +-35 -30 2.24999445558500 -0.6666500087 -0.2619515070 1.666148885 +-30 -30 2.21544712795646 -0.4907780757 -0.2907780757 1.716077966 +-25 -30 2.17888862003054 -0.3158926481 -0.3101825089 1.749687430 +-20 -30 2.14079057051963 -0.1435785445 -0.3208808603 1.768217519 +-15 -30 2.10151603609868 0.02496359699 -0.3235611933 1.772859991 +-10 -30 2.06133764711074 0.1888332774 -0.3188582048 1.764714176 +-5 -30 2.02045499142654 0.3473528916 -0.3073402147 1.744764432 +0 -30 1.97901072483914 0.5000000000 -0.2895053624 1.713873562 +5 -30 1.93710500195861 0.6463499451 -0.2657843292 1.672787527 +10 -30 1.89480715920805 0.7860283149 -0.2365471122 1.622147182 +15 -30 1.85216943119093 0.9186729434 -0.2021148165 1.562508696 +20 -30 1.80923978959708 1.043905568 -0.1627739202 1.494368265 +25 -30 1.76607083383659 1.161311549 -0.1187907585 1.418187194 +30 -30 1.72273006401018 1.270428306 -0.07042830600 1.334420970 +35 -30 1.67930435946721 1.370740122 -0.01796148443 1.243545769 +40 -30 1.63591746668387 1.461688615 0.03830124570 1.146095862 +45 -30 1.59273447490405 1.542689470 0.09800295355 1.042689470 + +-45 -25 2.26067995185588 -1.018143648 -0.007922009355 1.518143648 +-40 -25 2.22922560501035 -0.8494097777 -0.04989916564 1.608163950 +-35 -25 2.19464341471917 -0.6759279372 -0.08311667988 1.679399140 +-30 -25 2.15764952010225 -0.5003355773 -0.1079395911 1.732632044 +-25 -25 2.11884662027420 -0.3248280462 -0.1248280462 1.768849453 +-20 -25 2.07872790393669 -0.1511933464 -0.1342892242 1.789139015 +-15 -25 2.03768924924303 0.01913453490 -0.1368424136 1.794614347 +-10 -25 1.99604258820525 0.1850160816 -0.1329945465 1.786362570 +-5 -25 1.95403027754365 0.3455464782 -0.1232250575 1.765411833 +0 -25 1.91183927278471 0.5000000000 -0.1079781902 1.732714820 +5 -25 1.86961434883722 0.6477809858 -0.08766096795 1.689144397 +10 -25 1.82746843930977 0.7883822084 -0.06264467144 1.635496776 +15 -25 1.78549358012285 0.9213509009 -0.03327017730 1.572502970 +20 -25 1.74377422761537 1.046263978 0.0001431092993 1.500847945 +25 -25 1.70239417578260 1.162710764 0.03728923629 1.421187819 +30 -25 1.66144522893015 1.270283939 0.07786588304 1.334170919 +35 -25 1.62102971302402 1.368575785 0.1215664384 1.240454776 +40 -25 1.58127045313712 1.457185224 0.1680693642 1.140728930 +45 -25 1.54231296961975 1.535729377 0.2170314597 1.035729377 + +-45 -20 2.21096538252766 -1.014049369 0.1489310963 1.514049369 +-40 -20 2.17644055439869 -0.8475890736 0.1154659440 1.605994120 +-35 -20 2.13908426984987 -0.6757821684 0.08882447283 1.679190960 +-30 -20 2.09960027791739 -0.5012384058 0.06880435227 1.734195789 +-25 -20 2.05859695321340 -0.3262097467 0.05511298218 1.771812520 +-20 -20 2.01658705397890 -0.1525989833 0.04740101672 1.793000971 +-15 -20 1.97399441492835 0.01801198459 0.04528897330 1.798803762 +-10 -20 1.93116336679662 0.1843234214 0.04838742308 1.790290841 +-5 -20 1.88837016693113 0.3452744649 0.05631101218 1.768520959 +0 -20 1.84583503145127 0.5000000000 0.06868723799 1.734517558 +5 -20 1.80373345943579 0.6477907402 0.08516113782 1.689255890 +10 -20 1.76220604376981 0.7880580609 0.1053969535 1.633658444 +15 -20 1.72136736190529 0.9203043495 0.1290773143 1.568597187 +20 -20 1.68131742000695 1.044100507 0.1558994928 1.494903857 +25 -20 1.64214776859447 1.159069513 0.1855720661 1.413379132 +30 -20 1.60394875642984 1.264876588 0.2178103733 1.324805111 +35 -20 1.56681072609378 1.361222785 0.2523334985 1.229953604 +40 -20 1.53083362645234 1.447847927 0.2888587966 1.129601173 +45 -20 1.49612489727107 1.524532982 0.3271004904 1.024532982 + +-45 -15 2.16147558249775 -1.001677792 0.2976266484 1.501677792 +-40 -15 2.12377949811207 -0.8372590310 0.2729738590 1.593683254 +-35 -15 2.08361821779465 -0.6673262935 0.2532979573 1.667114719 +-30 -15 2.04168916361808 -0.4944220081 0.2384871399 1.722389442 +-25 -15 1.99860725898428 -0.3207921414 0.2283573246 1.760194428 +-20 -15 1.95490006205963 -0.1483780385 0.2226742314 1.781404020 +-15 -15 1.91101132917780 0.02117163699 0.2211716370 1.787011779 +-10 -15 1.86730765633728 0.1864773304 0.2235661282 1.778075416 +-5 -15 1.82408724604391 0.3463983378 0.2295682929 1.755675032 +0 -15 1.78158979968916 0.5000000000 0.2388906293 1.720883599 +5 -15 1.74000632041986 0.6465214252 0.2512527455 1.674747554 +10 -15 1.69948759252394 0.7853455268 0.2663845478 1.618274898 +15 -15 1.66015323827301 0.9159726556 0.2840273444 1.552431085 +20 -15 1.62210164173756 1.037999410 0.3039332507 1.478141232 +25 -15 1.58541421788023 1.151101173 0.3258649617 1.396290972 +30 -15 1.55016217589868 1.255019624 0.3495941732 1.307732349 +35 -15 1.51640870553934 1.349552830 0.3749006797 1.213287181 +40 -15 1.48421753276341 1.434552434 0.4015699200 1.113756221 +45 -15 1.45364950848428 1.509918040 0.4293932768 1.009918040 + +-45 -10 2.11221013310833 -0.9820826017 0.4386688497 1.482082602 +-40 -10 2.07133863567248 -0.8194485044 0.4227333176 1.572457495 +-35 -10 2.02843634057239 -0.6515135590 0.4100246741 1.644531794 +-30 -10 1.98419694448994 -0.4807298381 0.4004779586 1.698673908 +-25 -10 1.93923758983976 -0.3092885123 0.3939801494 1.735524815 +-20 -10 1.89409222334874 -0.1391040426 0.3903832358 1.755923926 +-15 -10 1.84921286492700 0.02818292047 0.3895154625 1.760845313 +-10 -10 1.80497462161519 0.1911907370 0.3911907370 1.751344359 +-5 -10 1.76168274544375 0.3487745409 0.3952161854 1.728514907 +0 -10 1.71958091286769 0.5000000000 0.4013979081 1.693456615 +5 -10 1.67885962785534 0.6441157998 0.4095451818 1.647251130 +10 -10 1.63966442541631 0.7805266936 0.4194733064 1.590945938 +15 -10 1.60210494067420 0.9087687732 0.4310051098 1.525545830 +20 -10 1.56626282535924 1.028487943 0.4439716916 1.452008690 +25 -10 1.53219820871535 1.139421603 0.4582126762 1.371244053 +30 -10 1.49995418235933 1.241382969 0.4735762370 1.284112971 +35 -10 1.46956130614977 1.334248399 0.4899187122 1.191430188 +40 -10 1.44104412320911 1.417949137 0.5071037172 1.093969182 +45 -10 1.41441950336510 1.492461169 0.5250023186 0.9924611688 + +-45 -5 2.06310175129346 -0.9560496514 0.5726121620 1.456049651 +-40 -5 2.01914173967144 -0.7949742281 0.5649796040 1.543290189 +-35 -5 1.97365297049753 -0.6291448565 0.5589170081 1.612585976 +-30 -5 1.92732361919513 -0.4609076157 0.5543890467 1.664340812 +-25 -5 1.88076373846044 -0.2923581607 0.5513377267 1.699217559 +-20 -5 1.83450085465066 -0.1253265482 0.5496883019 1.718070571 +-15 -5 1.78897994238412 0.03862245893 0.5493546329 1.721884425 +-10 -5 1.74456754425221 0.1981772386 0.5502437352 1.711721940 +-5 -5 1.70155851354780 0.3522594700 0.5522594700 1.688681985 +0 -5 1.66018362869302 0.5000000000 0.5553054627 1.653866129 +5 -5 1.62061766946454 0.6407127122 0.5592872878 1.608353660 +10 -5 1.58298794642869 0.7738683262 0.5641139674 1.553184459 +15 -5 1.54738256824067 0.8990696304 0.5696989220 1.489348136 +20 -5 1.51385865228300 1.016029198 0.5759604477 1.417778570 +25 -5 1.48244957186482 1.124550012 0.5828218989 1.339351824 +30 -5 1.45316753311483 1.224507154 0.5902119459 1.254883200 +35 -5 1.42601160175100 1.315834237 0.5980641550 1.165132039 +40 -5 1.40097111113701 1.398511208 0.6063167927 1.070803960 +45 -5 1.37802830112889 1.472553887 0.6149125602 0.9725538870 + +-45 0 2.01404286584383 -0.9241433680 0.7000000000 1.424143368 +-40 0 1.96716547781411 -0.7644695953 0.7000000000 1.506936183 +-35 0 1.91932978473050 -0.6008823381 0.7000000000 1.572222917 +-30 0 1.87121038686638 -0.4356051934 0.7000000000 1.620515731 +-25 0 1.82339683949697 -0.2706008028 0.7000000000 1.652558754 +-20 0 1.77639259834278 -0.1075620511 0.7000000000 1.669263016 +-15 0 1.73061624374449 0.05208355636 0.7000000000 1.671646925 +-10 0 1.68640617669642 0.2071586406 0.7000000000 1.660785878 +-5 0 1.64402814181938 0.3567135062 0.7000000000 1.637772118 +0 0 1.60368353470594 0.5000000000 0.7000000000 1.603683535 +5 0 1.56551810182628 0.6364438929 0.7000000000 1.559560833 +10 0 1.52963021375491 0.7656174991 0.7000000000 1.506391694 +15 0 1.49607924658075 0.8872138020 0.7000000000 1.445101582 +20 0 1.46489544736351 1.001023751 0.7000000000 1.376551442 +25 0 1.43608482183020 1.106915671 0.7000000000 1.301534857 +30 0 1.40963292443881 1.204816462 0.7000000000 1.220777923 +35 0 1.38551426135980 1.294698333 0.7000000000 1.134946840 +40 0 1.36369234640720 1.376564544 0.7000000000 1.044648944 +45 0 1.34412646791638 1.450440940 0.7000000000 0.9504409402 + +-45 5 1.96489589946955 -0.8867401294 0.8213240406 1.386740129 +-40 5 1.91535313341830 -0.7284095250 0.8280800320 1.463961465 +-35 5 1.86549165631748 -0.5672647826 0.8333512771 1.524212072 +-30 5 1.81595632461883 -0.4053831150 0.8371970586 1.568169556 +-25 5 1.76729847071732 -0.2445557021 0.8396935739 1.596704856 +-20 5 1.71997590740911 -0.08628841437 0.8409279798 1.610814180 +-15 5 1.67435855506752 0.06818328998 0.8409933969 1.611561901 +-10 5 1.63073586651077 0.2178709394 0.8399847848 1.600033412 +-5 5 1.58932622822746 0.3620042171 0.8379957829 1.577299017 +0 5 1.55028702926589 0.5000000000 0.8351164175 1.544387719 +5 5 1.51372330906471 0.6314314390 0.8314314390 1.502268222 +10 5 1.47969679927285 0.7559982131 0.8270193673 1.451838012 +15 5 1.44823636552216 0.8734998461 0.8219522331 1.393920402 +20 5 1.41934601757969 0.9838126642 0.8162955632 1.329264370 +25 5 1.39300851843082 1.086868858 0.8101083612 1.258544328 +30 5 1.36919173914343 1.182639260 0.8034436108 1.182365882 +35 5 1.34785510456766 1.271120193 0.7963489700 1.101273766 +40 5 1.32894948149917 1.352320219 0.7888671071 1.015755683 +45 5 1.31242457639047 1.426253563 0.7810366863 0.9262535625 + +-45 10 1.91550868440814 -0.8440623402 0.9369944543 1.344062340 +-40 10 1.86363268135470 -0.6871392305 0.9494634349 1.414777443 +-35 10 1.81214379114481 -0.5287274511 0.9590552022 1.469175059 +-30 10 1.76163546760668 -0.3707242856 0.9659255438 1.508138702 +-25 10 1.71259603507524 -0.2147057713 0.9702548597 1.532691473 +-20 10 1.66541393323035 -0.06194348098 0.9722359908 1.543927025 +-15 10 1.62038766490222 0.08656648444 0.9720645764 1.542954886 +-10 10 1.57773744423857 0.2300682616 0.9699317384 1.530858960 +-5 10 1.53761765094163 0.3680086209 0.9660189380 1.508668367 +0 10 1.50012867883731 0.5000000000 0.9604946113 1.477338353 +5 10 1.46532713000113 0.6257858536 0.9535121568 1.437738886 +10 10 1.43323514978703 0.7452091486 0.9452091486 1.390650187 +15 10 1.40385129998796 0.8581853842 0.9357079219 1.336766052 +20 10 1.37715655448795 0.9646797608 0.9251161537 1.276697150 +25 10 1.35311830159146 1.064687433 0.9135277610 1.210976109 +30 10 1.33169718907941 1.158218516 0.9010247328 1.140067913 +35 10 1.31284888703168 1.245285057 0.8876784478 1.064377369 +40 10 1.29652713190515 1.325891409 0.8735514273 0.9842590542 +45 10 1.28268567150816 1.400026985 0.8586990408 0.9000269847 + +-45 15 1.86572811880732 -0.7962082495 1.047317954 1.296208250 +-40 15 1.81193519250610 -0.6409031408 1.064323930 1.359675417 +-35 15 1.75929294718072 -0.4856263003 1.077170706 1.407620236 +-30 15 1.70831646485614 -0.3320500102 1.086155754 1.441152892 +-25 15 1.65940284642912 -0.1814869753 1.091595294 1.461453535 +-20 15 1.61284524383408 -0.03492935822 1.093806625 1.469706333 +-15 15 1.56884871906964 0.1069048611 1.093095139 1.467051031 +-10 15 1.52754646109879 0.2435235470 1.089745564 1.454550245 +-5 15 1.48901572268921 0.3746138429 1.084016834 1.433170334 +0 15 1.45329169718342 0.5000000000 1.076139569 1.403771983 +5 15 1.42037833566746 0.6196063805 1.066315266 1.367107185 +10 15 1.39025727754193 0.7334254731 1.054716940 1.323821642 +15 15 1.36289903796855 0.8414918087 1.041491809 1.274464781 +20 15 1.33826753817288 0.9438606854 1.026763293 1.219497210 +25 15 1.31632359953716 1.040590484 1.010633508 1.159300035 +30 15 1.29703026508889 1.131729581 0.9931867191 1.094187732 +35 15 1.28035244289911 1.217304667 0.9744917695 1.024417230 +40 15 1.26626069028356 1.297313725 0.9546057237 0.9502014967 +45 15 1.25472817657585 1.371718123 0.9335761670 0.8717181228 + +-45 20 1.81540307019584 -0.7431718268 1.152477541 1.243171827 +-40 20 1.76019732604281 -0.5898632996 1.172742194 1.298848503 +-35 20 1.70695175815857 -0.4382535639 1.187707359 1.339964957 +-30 20 1.65606762809762 -0.2897305641 1.197857945 1.367853461 +-25 20 1.60782085535387 -0.1452925424 1.203674503 1.383834323 +-20 20 1.56238468890752 -0.005612022781 1.205612023 1.389157616 +-15 20 1.51985194394706 0.1288994454 1.204086445 1.384966125 +-10 20 1.48025545086569 0.2580308407 1.199467360 1.372275294 +-5 20 1.44358704903439 0.3817182232 1.192075708 1.351966896 +0 20 1.40981257069283 0.5000000000 1.182184297 1.324790469 +5 20 1.37888245198442 0.6129801397 1.170019843 1.291368906 +10 20 1.35074025601727 0.7207980278 1.155766381 1.252207841 +15 20 1.32533282611062 0.8236050385 1.139570654 1.207710445 +20 20 1.30261308120921 0.9215458840 1.121545884 1.158187798 +25 20 1.28254299340641 1.014743559 1.101776232 1.103871124 +30 20 1.26509668271384 1.103287873 1.080321687 1.044925248 +35 20 1.25026055490839 1.187225878 1.057222324 0.9814602684 +40 20 1.23803322818745 1.266554385 1.032502803 0.9135439425 +45 20 1.22842366153402 1.341213564 1.006176698 0.8412135644 + +-45 25 1.76440230162742 -0.6848718988 1.252514840 1.184871899 +-40 25 1.70838133333975 -0.5341288338 1.274690033 1.232426753 +-35 25 1.65515437107090 -0.3868603675 1.290610296 1.266567866 +-30 25 1.60497027619257 -0.2441008620 1.300986869 1.288820499 +-25 25 1.55795340921543 -0.1064826280 1.306482628 1.300606193 +-20 25 1.51413549514328 0.02567387097 1.307692294 1.303200329 +-15 25 1.47348400756500 0.1522788875 1.305133444 1.297712859 +-10 25 1.43592492270144 0.2734050058 1.299244544 1.285084071 +-5 25 1.40136201675047 0.3892313485 1.290388153 1.266091480 +0 25 1.36969260336006 0.5000000000 1.278857107 1.241363072 +5 25 1.34081669456938 0.6059829333 1.264880654 1.211390471 +10 25 1.31464376360213 0.7074563170 1.248631122 1.176543239 +15 25 1.29110134365515 0.8046814171 1.230232156 1.137086529 +20 25 1.27013606554617 0.8978895715 1.209764087 1.093192613 +25 25 1.25171711394905 0.9872704667 1.187270467 1.044954888 +30 25 1.23583719412097 1.072962338 1.162763664 0.9923998797 +35 25 1.22251202599321 1.155043109 1.136230119 0.9354985101 +40 25 1.21177912263046 1.233522257 1.107635796 0.8741777846 +45 25 1.20369703670226 1.308334240 1.076932446 0.8083342400 + +-45 30 1.71262455800836 -0.6211759534 1.347311239 1.121175953 +-40 30 1.65648355976675 -0.4737785754 1.370017364 1.160504116 +-35 30 1.60396454177354 -0.3316754924 1.385751071 1.187755697 +-30 30 1.55512423147076 -0.1954726990 1.395472699 1.204594050 +-25 30 1.50990876725970 -0.06539074611 1.400028176 1.212484368 +-20 30 1.46819331502492 0.05862206715 1.400138760 1.212675904 +-15 30 1.42981388504994 0.1767982574 1.396402969 1.206205324 +-10 30 1.39459041802107 0.2894812961 1.389304778 1.193910898 +-5 30 1.36234285047357 0.3970738286 1.379224603 1.176451522 +0 30 1.33290567595170 0.5000000000 1.366452838 1.154330176 +5 30 1.30613430255155 0.5986795674 1.351200653 1.127912616 +10 30 1.28190976539231 0.6935091327 1.333610066 1.097444826 +15 30 1.26014477027650 0.7848489513 1.313764189 1.063070759 +20 30 1.24078381501708 0.8730125929 1.291693772 1.024843676 +25 30 1.22380659711227 0.9582587637 1.267384678 0.9827390902 +30 30 1.20922658062982 1.040782567 1.240782567 0.9366628817 +35 30 1.19709303426427 1.120707573 1.211799238 0.8864622838 +40 30 1.18748994282705 1.198076512 1.180318006 0.8319351905 +45 30 1.18053393544313 1.272840874 1.146199887 0.7728408742 + +-45 35 1.66001842121841 -0.5519325485 1.436571100 1.051932549 +-40 35 1.60455445891886 -0.4088918177 1.458447363 1.083175089 +-35 35 1.55349152425536 -0.2729285417 1.472928542 1.103856356 +-30 35 1.50665892930416 -0.1441495107 1.481221326 1.115699680 +-25 35 1.46380755517112 -0.02233183072 1.484333431 1.120144226 +-20 35 1.42465112932069 0.09295109722 1.483082470 1.118357669 +-15 35 1.38889750020062 0.2022375092 1.478115951 1.111264744 +-10 35 1.35626872866189 0.3061144642 1.469933865 1.099579514 +-5 35 1.32651168780526 0.4051767254 1.458909429 1.083834989 +0 35 1.29940774394979 0.5000000000 1.445309663 1.064412510 +5 35 1.27477613282846 0.5911250526 1.429311047 1.041564118 +10 35 1.25247580862138 0.6790478082 1.411012146 1.015430579 +15 35 1.23240863663539 0.7642132089 1.390444628 0.9860571196 +20 35 1.21451866982370 0.8470102131 1.367579775 0.9534027248 +25 35 1.19879517509331 0.9277672132 1.342335209 0.9173497490 +30 35 1.18527315826340 1.006745827 1.314578821 0.8777095186 +35 35 1.17403556341090 1.084132956 1.284132956 0.8342283165 +40 35 1.16521330071378 1.160029224 1.250777787 0.7865921993 +45 35 1.15898498944597 1.234434039 1.214256250 0.7344340388 + +-45 40 1.60660146745381 -0.4770071309 1.519806323 0.9770071309 +-40 40 1.55270561238732 -0.3395730832 1.539573083 1.000564238 +-35 40 1.50389072500406 -0.2108652172 1.551871351 1.015220743 +-30 40 1.45973315790977 -0.09043541736 1.558117104 1.022664141 +-25 40 1.41978243116786 0.02239304172 1.559432213 1.024231427 +-20 40 1.38359958478665 0.1284019448 1.556684865 1.020957266 +-15 40 1.35077843343438 0.2284003813 1.550531169 1.013623576 +-10 40 1.32095917992285 0.3231781307 1.541454692 1.002806653 +-5 40 1.29383182822184 0.4134812171 1.529797552 0.9889142139 +0 40 1.26913800210996 0.5000000000 1.515786183 0.9722161141 +5 40 1.24667101157272 0.5833651300 1.499551017 0.9528677966 +10 40 1.22627389626645 0.6641474210 1.481139902 0.9309262843 +15 40 1.20784052791291 0.7428592422 1.460528885 0.9063630311 +20 40 1.19131470843211 0.8199554507 1.437627628 0.8790703760 +25 40 1.17669265819884 0.8958329030 1.412283483 0.8488663998 +30 40 1.16402571515511 0.9708271544 1.384282857 0.8154965530 +35 40 1.15342352140293 1.045204946 1.353350963 0.7786333574 +40 40 1.14505925913453 1.119152095 1.319152095 0.7378767334 +45 40 1.13917366293291 1.192754746 1.281290252 0.6927547463 + +-45 45 1.55249003606700 -0.3963305402 1.596330540 0.8963305402 +-40 45 1.50113601975487 -0.2659900890 1.612871440 0.9128714404 +-35 45 1.45538136534275 -0.1457710587 1.622256650 0.9222566504 +-30 45 1.41454403039511 -0.03464738900 1.626036442 0.9260364419 +-25 45 1.37798515632374 0.06848999350 1.625376195 0.9253761952 +-20 45 1.34513456668288 0.1647338593 1.621136151 0.9211361510 +-15 45 1.31549777914703 0.2551111589 1.613937597 0.9139375970 +-10 45 1.28865574685572 0.3405623175 1.604216030 0.9042160304 +-5 45 1.26426108471194 0.4219372064 1.592261814 0.8922618143 +0 45 1.24203125692568 0.5000000000 1.578248724 0.8782487242 +5 45 1.22174474505772 0.5754375889 1.562255586 0.8622555863 +10 45 1.20323584313908 0.6488691878 1.544279118 0.8442791183 +15 45 1.18639305005141 0.7208551194 1.524242527 0.8242425266 +20 45 1.17115868083024 0.7919037699 1.501999016 0.8019990165 +25 45 1.15753021988764 0.8624755103 1.477331240 0.7773312403 +30 45 1.14556607428586 0.9329832776 1.449949036 0.7499490356 +35 45 1.13539137340662 1.003787465 1.419483065 0.7194830646 +40 45 1.12720907355686 1.075185038 1.385478835 0.6854788354 +45 45 1.12131015454855 1.147388720 1.347388720 0.6473887196 + + +### +x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = dsigma = dphi +# +# dpx dpy gridfn global_x global_y global_z +45 -45 1.77503326757490 1.524815935 -0.3248159349 1.024815935 +45 -40 1.70854123364293 1.538998783 -0.1718234952 1.038998783 +45 -35 1.64795305736863 1.544286881 -0.03121754611 1.044286881 +45 -30 1.59273454330320 1.542689515 0.09800292770 1.042689515 +45 -25 1.54231304561683 1.535729428 0.2170314359 1.035729428 +45 -20 1.49612496160681 1.524533026 0.3271004744 1.024533026 +45 -15 1.45364954387838 1.509918065 0.4293932702 1.009918065 +45 -10 1.41441952589534 1.492461185 0.5250023159 0.9924611846 +45 -5 1.37802831980491 1.472553900 0.6149125591 0.9725539002 +45 0 1.34412647922482 1.450440948 0.7000000000 0.9504409482 +45 5 1.31242458308140 1.426253567 0.7810366867 0.9262535673 +45 10 1.28268567953101 1.400026990 0.8586990418 0.9000269903 +45 15 1.25472818359604 1.371718128 0.9335761683 0.8717181277 +45 20 1.22842367959380 1.341213577 1.006176703 0.8412135767 +45 25 1.20369706385527 1.308334258 1.076932455 0.8083342582 +45 30 1.18053395141994 1.272840885 1.146199893 0.7728408847 +45 35 1.15898500777152 1.234434050 1.214256258 0.7344340504 +45 40 1.13917370009390 1.192754769 1.281290271 0.6927547689 +45 45 1.12131017231127 1.147388730 1.347388730 0.6473887298 + +50 -45 1.78888079657730 1.587854910 -0.3878549099 0.9128186537 +50 -40 1.71904012851880 1.607750280 -0.2295128512 0.9295128512 +50 -35 1.65466033668475 1.616999705 -0.08213161374 0.9372740406 +50 -30 1.59546105215144 1.617752788 0.05466512691 0.9379059522 +50 -25 1.54106268963575 1.611723038 0.1815950335 0.9328463915 +50 -20 1.49104278554434 1.600239536 0.2995455583 0.9232105890 +50 -15 1.44498267330856 1.584314399 0.4094588325 0.9098478120 +50 -10 1.40248270923144 1.564695270 0.5122654976 0.8933854085 +50 -5 1.36318460776797 1.541922610 0.6088435834 0.8742768774 +50 0 1.32677109442384 1.516365624 0.7000000000 0.8528320204 +50 5 1.29297698503648 1.488260832 0.7864616194 0.8292492994 +50 10 1.26158319225188 1.457731349 0.8688738772 0.8036320221 +50 15 1.23242394932958 1.424810420 0.9478022053 0.7760080826 +50 20 1.20538457652787 1.389452523 1.023734243 0.7463392839 +50 25 1.18040333931230 1.351543286 1.097081156 0.7145296573 +50 30 1.15747783424914 1.310909219 1.168178656 0.6804336269 +50 35 1.13666477920196 1.267320153 1.237283356 0.6438580576 +50 40 1.11808557474890 1.220494878 1.304566987 0.6045669867 +50 45 1.10193542336196 1.170109413 1.370109413 0.5622885614 + +55 -45 1.80085712574107 1.641180243 -0.4411802433 0.7990630088 +55 -40 1.72837227278096 1.666759894 -0.2790277968 0.8169740731 +55 -35 1.66084760305591 1.680139804 -0.1263427870 0.8263427870 +55 -30 1.59823293778962 1.683511373 0.01669939042 0.8287035847 +55 -25 1.54033887863842 1.678708017 0.1503594249 0.8253402389 +55 -20 1.48689706643329 1.667221015 0.2751662937 0.8172969535 +55 -15 1.43760573205910 1.650236476 0.3917950651 0.8054042513 +55 -10 1.39215005706925 1.628669895 0.5009850453 0.7903031684 +55 -5 1.35023399801663 1.603217456 0.6034809792 0.7724811792 +55 0 1.31158304346202 1.574385931 0.7000000000 0.7522931280 +55 5 1.27596286175107 1.542533742 0.7912098838 0.7299899850 +55 10 1.24317463373296 1.507889757 0.8777181578 0.7057320056 +55 15 1.21306673703488 1.470581556 0.9600665442 0.6796085222 +55 20 1.18553183415142 1.430647926 1.038728144 0.6516466931 +55 25 1.16051056944339 1.388053357 1.114106081 0.6218216549 +55 30 1.13799685855828 1.342700831 1.186533551 0.5900654740 +55 35 1.11803488718501 1.294436209 1.256270222 0.5562702219 +55 40 1.10072378815219 1.243057726 1.323499464 0.5202946210 +55 45 1.08622214523246 1.188325150 1.388325150 0.4819704591 + +60 -45 1.81100929097900 1.685583880 -0.4855838800 0.6844971723 +60 -40 1.73647297838718 1.716543337 -0.3208010657 0.7023716233 +60 -35 1.66638973429899 1.733982328 -0.1640437283 0.7124400294 +60 -30 1.60090285918395 1.740054023 -0.01594552370 0.7159455237 +60 -25 1.54000048579895 1.736648568 0.1233413021 0.7139793839 +60 -20 1.48356821818111 1.725375032 0.2539999626 0.7074706045 +60 -15 1.43142541354793 1.707564826 0.3764339801 0.6971878774 +60 -10 1.38335248553747 1.684290087 0.4911777046 0.6837502008 +60 -5 1.33912517742628 1.656401895 0.5988279437 0.6676489452 +60 0 1.29851837165195 1.624549897 0.7000000000 0.6492591858 +60 5 1.26133204388565 1.589223614 0.7952947183 0.6288635467 +60 10 1.22738800711126 1.550768669 0.8852788669 0.6066615740 +60 15 1.19654555593017 1.509417824 0.9704726907 0.5827876524 +60 20 1.16869808591551 1.465303406 1.051341707 0.5573181813 +60 25 1.14377934661407 1.418475744 1.128292273 0.5302822179 +60 30 1.12176797334621 1.368917736 1.201669889 0.5016698887 +60 35 1.10268256392566 1.316550156 1.271754575 0.4714354524 +60 40 1.08658687105560 1.261244220 1.338759744 0.4395045555 +60 45 1.07359045301366 1.202829931 1.402829931 0.4057790498 + +65 -45 1.81941184324568 1.721813168 -0.5218131678 0.5697408370 +65 -40 1.74331423404527 1.757627357 -0.3552746513 0.5864412676 +65 -35 1.67119276166322 1.778840866 -0.1954540148 0.5963332896 +65 -30 1.60334771886233 1.787517556 -0.04334860736 0.6003792962 +65 -25 1.53992306965962 1.785554157 0.1005362518 0.5994637482 +65 -20 1.48094732425733 1.774635623 0.2360705737 0.5943723524 +65 -15 1.42635666183117 1.756207310 0.3634002658 0.5857790887 +65 -10 1.37602852862333 1.731479665 0.4828569088 0.5742483988 +65 -5 1.32981314700126 1.701449073 0.5948868263 0.5602449036 +65 0 1.28753771010220 1.666905453 0.7000000000 0.5441369490 +65 5 1.24903773744991 1.628470744 0.7987283972 0.5262145500 +65 10 1.21415486507589 1.586610485 0.8915987460 0.5066947906 +65 15 1.18275594474950 1.541665597 0.9791134554 0.4857366450 +65 20 1.15472978423076 1.493863653 1.061736787 0.4634462327 +65 25 1.12999615211544 1.443340144 1.139886733 0.4398867334 +65 30 1.10850987214414 1.390153710 1.213930484 0.4150854921 +65 35 1.09025697112085 1.334293447 1.284178561 0.3890374234 +65 40 1.07526032710648 1.275693089 1.350883785 0.3617116277 +65 45 1.06357787550323 1.214238207 1.414238207 0.3330547458 + +70 -45 1.82614726787060 1.750529358 -0.5505293576 0.4551554632 +70 -40 1.74888869101155 1.790503868 -0.3828613197 0.4697049952 +70 -35 1.67518822483989 1.815030438 -0.2207942255 0.4786319365 +70 -30 1.60546752431818 1.826059560 -0.06560084392 0.4826462087 +70 -25 1.53999994214669 1.825461584 0.08192711297 0.4824285631 +70 -20 1.47893683668708 1.814961920 0.2213930021 0.4786069979 +70 -15 1.42232082073532 1.796090822 0.3527135110 0.4717384800 +70 -10 1.37012025373327 1.770174126 0.4760340314 0.4623055742 +70 -5 1.32225563093240 1.738336020 0.5916596366 0.4507174513 +70 0 1.27860559989607 1.701496247 0.7000000000 0.4373088705 +70 5 1.23903940584175 1.660401280 0.8015219571 0.4223515257 +70 10 1.20341608676590 1.615630524 0.8967157618 0.4060563031 +70 15 1.17160662894054 1.567627343 0.9860698843 0.3885845741 +70 20 1.14349205964415 1.516709082 1.070051843 0.3700518428 +70 25 1.11897505141257 1.463089935 1.149096212 0.3505360691 +70 30 1.09798329289156 1.406895481 1.223596350 0.3300829606 +70 35 1.08046837714602 1.348172630 1.293896869 0.3087095910 +70 40 1.06641215645234 1.286904861 1.360291579 0.2864099467 +70 45 1.05582414457715 1.223018955 1.423018955 0.2631573784 + +75 -45 1.83129410377986 1.772285335 -0.5722853350 0.3409078281 +75 -40 1.75320407440146 1.815603610 -0.4039225041 0.3525149249 +75 -35 1.67833205791055 1.842842971 -0.2402687708 0.3598136896 +75 -30 1.60718836374421 1.855840212 -0.08279471163 0.3632962900 +75 -25 1.54014724447739 1.856423872 0.06748916065 0.3634526812 +75 -20 1.47745793724035 1.846334557 0.2099742959 0.3607492573 +75 -15 1.41925268332040 1.827161814 0.3443880637 0.3556119363 +75 -10 1.36557814624301 1.800321842 0.4707181757 0.3484201873 +75 -5 1.31641619529607 1.767044135 0.5891480020 0.3395034527 +75 0 1.27169068451144 1.728358875 0.7000000000 0.3291377686 +75 5 1.23130052419268 1.685120719 0.8036846278 0.3175521395 +75 10 1.19511909943167 1.638008449 0.9006615938 0.3049284449 +75 15 1.16301909214398 1.587554419 0.9914093284 0.2914093284 +75 20 1.13487220116218 1.534153070 1.076400935 0.2771004800 +75 25 1.11056363630353 1.478085072 1.156088559 0.2620771051 +75 30 1.08999497836762 1.419530689 1.230891291 0.2463875055 +75 35 1.07308614257973 1.358582291 1.301185792 0.2300564315 +75 40 1.05978296100031 1.295260694 1.367302955 0.2130894608 +75 45 1.05005436284916 1.229521689 1.429521689 0.1954747473 + +80 -45 1.83492034347059 1.787515609 -0.5875156093 0.2270237400 +80 -40 1.75627389476587 1.833275980 -0.4187513832 0.2350925280 +80 -35 1.68059536077125 1.862523658 -0.2540493366 0.2402496828 +80 -30 1.60845520747082 1.877000857 -0.09501181552 0.2428024036 +80 -25 1.54029941566039 1.878494246 0.05719757643 0.2430657283 +80 -20 1.47644791863120 1.868745510 0.2018173763 0.2413467630 +80 -15 1.41710047238470 1.849382092 0.3384341581 0.2379324701 +80 -10 1.36236380555679 1.821884605 0.4669160787 0.2330839213 +80 -5 1.31226733665485 1.787560804 0.5873530260 0.2270317091 +80 0 1.26677020385950 1.747525118 0.7000000000 0.2199723374 +80 5 1.22579408179158 1.702715613 0.8052239816 0.2120712127 +80 10 1.18922309854067 1.653888337 0.9034616466 0.2034616466 +80 15 1.15693061958523 1.601644866 0.9951848522 0.1942497130 +80 20 1.12877981934191 1.546438746 1.080872556 0.1845153846 +80 25 1.10464104366380 1.488600857 1.160992150 0.1743170042 +80 30 1.08439449445797 1.428351714 1.235984112 0.1636934547 +80 35 1.06793482710269 1.365816068 1.306250938 0.1526667332 +80 40 1.05517997579315 1.301040271 1.372152596 0.1412450124 +80 45 1.04606833339325 1.233998788 1.433998788 0.1294237901 + +85 -45 1.83707488093039 1.796529480 -0.5965294796 0.1134316314 +85 -40 1.75810926672767 1.843775292 -0.4275613523 0.1175651044 +85 -35 1.68195890685287 1.874255447 -0.2622640236 0.1202317724 +85 -30 1.60922909531022 1.889650203 -0.1023149188 0.1215786390 +85 -25 1.54040846238636 1.891716064 0.05103214132 0.1217593785 +85 -20 1.47585964663712 1.882191248 0.1969235276 0.1209260650 +85 -15 1.41582422706582 1.862723878 0.3348592374 0.1192228908 +85 -10 1.36044664522355 1.834833024 0.4646329232 0.1167827573 +85 -5 1.30978640498386 1.799874608 0.5862757078 0.1137242922 +85 0 1.26382507407472 1.759015838 0.7000000000 0.1101496130 +85 5 1.22249864246395 1.713247395 0.8061453931 0.1061453931 +85 10 1.18569788206829 1.663374319 0.9051342811 0.1017820643 +85 15 1.15329619801803 1.610041937 0.9974348406 0.09711608553 +85 20 1.12515085617864 1.553740896 1.083530321 0.09219038268 +85 25 1.10112225466966 1.494833233 1.163898355 0.08703662996 +85 30 1.08107666590323 1.433564036 1.238993447 0.08167626978 +85 35 1.06489249356121 1.370077327 1.309234703 0.07612190251 +85 40 1.05247017667712 1.304434313 1.375000535 0.07037888291 +85 45 1.04372938807008 1.236619903 1.436619903 0.06444589083 + +90 -45 1.83778877520256 1.799512905 -0.5995129053 0.000000000 +90 -40 1.75871917920229 1.847257054 -0.4304828973 0.000000000 +90 -35 1.68241356704064 1.878152513 -0.2649927783 0.000000000 +90 -30 1.60948861186357 1.893858025 -0.1047443059 0.000000000 +90 -25 1.54044706818825 1.896119173 0.04897893774 0.000000000 +90 -20 1.47566581339955 1.886672276 0.1952925670 0.000000000 +90 -15 1.41540062937538 1.867172022 0.3336673607 0.000000000 +90 -10 1.35980879892509 1.839150248 0.4638716801 0.000000000 +90 -5 1.30896012283440 1.803979134 0.5859166083 0.000000000 +90 0 1.26284386353681 1.762843864 0.7000000000 0.000000000 +90 5 1.22140090212052 1.716753103 0.8064521028 0.000000000 +90 10 1.18452424406779 1.666528659 0.9056904764 0.000000000 +90 15 1.15208724763477 1.612830827 0.9981821213 0.000000000 +90 20 1.12394507270430 1.556162891 1.084411855 0.000000000 +90 25 1.09995461982564 1.496897437 1.164860909 0.000000000 +90 30 1.07997733368285 1.435287806 1.239988667 0.000000000 +90 35 1.06388603426801 1.371484420 1.310219960 0.000000000 +90 40 1.05157519544107 1.305553335 1.375939506 0.000000000 +90 45 1.04295816889395 1.237482794 1.437482794 0.000000000 + +95 -45 1.83707488093039 1.796529480 -0.5965294796 -0.1134316314 +95 -40 1.75810926672767 1.843775292 -0.4275613523 -0.1175651044 +95 -35 1.68195890685287 1.874255447 -0.2622640236 -0.1202317724 +95 -30 1.60922909531022 1.889650203 -0.1023149188 -0.1215786390 +95 -25 1.54040846238636 1.891716064 0.05103214132 -0.1217593785 +95 -20 1.47585964663712 1.882191248 0.1969235276 -0.1209260650 +95 -15 1.41582422706582 1.862723878 0.3348592374 -0.1192228908 +95 -10 1.36044664522355 1.834833024 0.4646329232 -0.1167827573 +95 -5 1.30978640498386 1.799874608 0.5862757078 -0.1137242922 +95 0 1.26382507407472 1.759015838 0.7000000000 -0.1101496130 +95 5 1.22249864246395 1.713247395 0.8061453931 -0.1061453931 +95 10 1.18569788206829 1.663374319 0.9051342811 -0.1017820643 +95 15 1.15329619801803 1.610041937 0.9974348406 -0.09711608553 +95 20 1.12515085617864 1.553740896 1.083530321 -0.09219038268 +95 25 1.10112225466966 1.494833233 1.163898355 -0.08703662996 +95 30 1.08107666590323 1.433564036 1.238993447 -0.08167626978 +95 35 1.06489249356121 1.370077327 1.309234703 -0.07612190251 +95 40 1.05247017667712 1.304434313 1.375000535 -0.07037888291 +95 45 1.04372938807008 1.236619903 1.436619903 -0.06444589083 + +100 -45 1.83492034347059 1.787515609 -0.5875156093 -0.2270237400 +100 -40 1.75627389476587 1.833275980 -0.4187513832 -0.2350925280 +100 -35 1.68059536077125 1.862523658 -0.2540493366 -0.2402496828 +100 -30 1.60845520747081 1.877000857 -0.09501181552 -0.2428024036 +100 -25 1.54029941566039 1.878494246 0.05719757643 -0.2430657283 +100 -20 1.47644791863120 1.868745510 0.2018173763 -0.2413467630 +100 -15 1.41710047238470 1.849382092 0.3384341581 -0.2379324701 +100 -10 1.36236380555679 1.821884605 0.4669160787 -0.2330839213 +100 -5 1.31226733665485 1.787560804 0.5873530260 -0.2270317091 +100 0 1.26677020385950 1.747525118 0.7000000000 -0.2199723374 +100 5 1.22579408179158 1.702715613 0.8052239816 -0.2120712127 +100 10 1.18922309854067 1.653888337 0.9034616466 -0.2034616466 +100 15 1.15693061958523 1.601644866 0.9951848522 -0.1942497130 +100 20 1.12877981934191 1.546438746 1.080872556 -0.1845153846 +100 25 1.10464104366380 1.488600857 1.160992150 -0.1743170042 +100 30 1.08439449445797 1.428351714 1.235984112 -0.1636934547 +100 35 1.06793482710269 1.365816068 1.306250938 -0.1526667332 +100 40 1.05517997579315 1.301040271 1.372152596 -0.1412450124 +100 45 1.04606833339325 1.233998788 1.433998788 -0.1294237901 + +105 -45 1.83129410377986 1.772285335 -0.5722853350 -0.3409078281 +105 -40 1.75320407440146 1.815603610 -0.4039225041 -0.3525149249 +105 -35 1.67833205791055 1.842842971 -0.2402687708 -0.3598136896 +105 -30 1.60718836374421 1.855840212 -0.08279471163 -0.3632962900 +105 -25 1.54014724447739 1.856423872 0.06748916065 -0.3634526812 +105 -20 1.47745793724035 1.846334557 0.2099742959 -0.3607492573 +105 -15 1.41925268332040 1.827161814 0.3443880637 -0.3556119363 +105 -10 1.36557814624301 1.800321842 0.4707181757 -0.3484201873 +105 -5 1.31641619529607 1.767044135 0.5891480020 -0.3395034527 +105 0 1.27169068451144 1.728358875 0.7000000000 -0.3291377686 +105 5 1.23130052419268 1.685120719 0.8036846278 -0.3175521395 +105 10 1.19511909943167 1.638008449 0.9006615938 -0.3049284449 +105 15 1.16301909214398 1.587554419 0.9914093284 -0.2914093284 +105 20 1.13487220116218 1.534153070 1.076400935 -0.2771004800 +105 25 1.11056363630353 1.478085072 1.156088559 -0.2620771051 +105 30 1.08999497836763 1.419530689 1.230891291 -0.2463875055 +105 35 1.07308614257973 1.358582291 1.301185792 -0.2300564315 +105 40 1.05978296100032 1.295260694 1.367302955 -0.2130894608 +105 45 1.05005436284916 1.229521689 1.429521689 -0.1954747473 + +110 -45 1.82614726787059 1.750529358 -0.5505293576 -0.4551554632 +110 -40 1.74888869101154 1.790503868 -0.3828613197 -0.4697049952 +110 -35 1.67518822483989 1.815030438 -0.2207942255 -0.4786319365 +110 -30 1.60546752431818 1.826059560 -0.06560084392 -0.4826462087 +110 -25 1.53999994214669 1.825461584 0.08192711297 -0.4824285631 +110 -20 1.47893683668708 1.814961920 0.2213930021 -0.4786069979 +110 -15 1.42232082073533 1.796090822 0.3527135110 -0.4717384800 +110 -10 1.37012025373327 1.770174126 0.4760340314 -0.4623055742 +110 -5 1.32225563093241 1.738336020 0.5916596366 -0.4507174513 +110 0 1.27860559989607 1.701496247 0.7000000000 -0.4373088705 +110 5 1.23903940584176 1.660401280 0.8015219571 -0.4223515257 +110 10 1.20341608676591 1.615630524 0.8967157618 -0.4060563031 +110 15 1.17160662894054 1.567627343 0.9860698843 -0.3885845741 +110 20 1.14349205964415 1.516709082 1.070051843 -0.3700518428 +110 25 1.11897505141257 1.463089935 1.149096212 -0.3505360691 +110 30 1.09798329289156 1.406895481 1.223596350 -0.3300829606 +110 35 1.08046837714602 1.348172630 1.293896869 -0.3087095910 +110 40 1.06641215645234 1.286904861 1.360291579 -0.2864099467 +110 45 1.05582414457715 1.223018955 1.423018955 -0.2631573784 + +115 -45 1.81941184324568 1.721813168 -0.5218131678 -0.5697408370 +115 -40 1.74331423404527 1.757627357 -0.3552746513 -0.5864412676 +115 -35 1.67119276166322 1.778840866 -0.1954540148 -0.5963332896 +115 -30 1.60334771886233 1.787517556 -0.04334860736 -0.6003792962 +115 -25 1.53992306965962 1.785554157 0.1005362518 -0.5994637482 +115 -20 1.48094732425733 1.774635623 0.2360705737 -0.5943723524 +115 -15 1.42635666183117 1.756207310 0.3634002658 -0.5857790887 +115 -10 1.37602852862333 1.731479665 0.4828569088 -0.5742483988 +115 -5 1.32981314700126 1.701449073 0.5948868263 -0.5602449036 +115 0 1.28753771010220 1.666905453 0.7000000000 -0.5441369490 +115 5 1.24903773744991 1.628470744 0.7987283972 -0.5262145500 +115 10 1.21415486507590 1.586610485 0.8915987460 -0.5066947906 +115 15 1.18275594474950 1.541665597 0.9791134554 -0.4857366450 +115 20 1.15472978423076 1.493863653 1.061736787 -0.4634462327 +115 25 1.12999615211544 1.443340144 1.139886733 -0.4398867334 +115 30 1.10850987214414 1.390153710 1.213930484 -0.4150854921 +115 35 1.09025697112085 1.334293447 1.284178561 -0.3890374234 +115 40 1.07526032710649 1.275693089 1.350883785 -0.3617116277 +115 45 1.06357787550323 1.214238207 1.414238207 -0.3330547458 + +120 -45 1.81100929097900 1.685583880 -0.4855838800 -0.6844971723 +120 -40 1.73647297838718 1.716543337 -0.3208010657 -0.7023716233 +120 -35 1.66638973429899 1.733982328 -0.1640437283 -0.7124400294 +120 -30 1.60090285918395 1.740054023 -0.01594552370 -0.7159455237 +120 -25 1.54000048579895 1.736648568 0.1233413021 -0.7139793839 +120 -20 1.48356821818111 1.725375032 0.2539999626 -0.7074706045 +120 -15 1.43142541354794 1.707564826 0.3764339801 -0.6971878774 +120 -10 1.38335248553747 1.684290087 0.4911777046 -0.6837502008 +120 -5 1.33912517742628 1.656401895 0.5988279437 -0.6676489452 +120 0 1.29851837165195 1.624549897 0.7000000000 -0.6492591858 +120 5 1.26133204388565 1.589223614 0.7952947183 -0.6288635467 +120 10 1.22738800711126 1.550768669 0.8852788669 -0.6066615740 +120 15 1.19654555593017 1.509417824 0.9704726907 -0.5827876524 +120 20 1.16869808591551 1.465303406 1.051341707 -0.5573181813 +120 25 1.14377934661407 1.418475744 1.128292273 -0.5302822179 +120 30 1.12176797334621 1.368917736 1.201669889 -0.5016698887 +120 35 1.10268256392567 1.316550156 1.271754575 -0.4714354524 +120 40 1.08658687105561 1.261244220 1.338759744 -0.4395045555 +120 45 1.07359045301366 1.202829931 1.402829931 -0.4057790498 + +125 -45 1.80085712574107 1.641180243 -0.4411802433 -0.7990630088 +125 -40 1.72837227278096 1.666759894 -0.2790277968 -0.8169740731 +125 -35 1.66084760305591 1.680139804 -0.1263427870 -0.8263427870 +125 -30 1.59823293778962 1.683511373 0.01669939042 -0.8287035847 +125 -25 1.54033887863842 1.678708017 0.1503594249 -0.8253402389 +125 -20 1.48689706643329 1.667221015 0.2751662937 -0.8172969535 +125 -15 1.43760573205910 1.650236476 0.3917950651 -0.8054042513 +125 -10 1.39215005706925 1.628669895 0.5009850453 -0.7903031684 +125 -5 1.35023399801663 1.603217456 0.6034809792 -0.7724811792 +125 0 1.31158304346202 1.574385931 0.7000000000 -0.7522931280 +125 5 1.27596286175107 1.542533742 0.7912098838 -0.7299899850 +125 10 1.24317463373297 1.507889757 0.8777181578 -0.7057320056 +125 15 1.21306673703488 1.470581556 0.9600665442 -0.6796085222 +125 20 1.18553183415143 1.430647926 1.038728144 -0.6516466931 +125 25 1.16051056944339 1.388053357 1.114106081 -0.6218216549 +125 30 1.13799685855828 1.342700831 1.186533551 -0.5900654740 +125 35 1.11803488718501 1.294436209 1.256270222 -0.5562702219 +125 40 1.10072378815219 1.243057726 1.323499464 -0.5202946210 +125 45 1.08622214523246 1.188325150 1.388325150 -0.4819704591 + +130 -45 1.78888079657730 1.587854910 -0.3878549099 -0.9128186537 +130 -40 1.71904012851880 1.607750280 -0.2295128512 -0.9295128512 +130 -35 1.65466033668475 1.616999705 -0.08213161374 -0.9372740406 +130 -30 1.59546105215144 1.617752788 0.05466512691 -0.9379059522 +130 -25 1.54106268963575 1.611723038 0.1815950335 -0.9328463915 +130 -20 1.49104278554434 1.600239536 0.2995455583 -0.9232105890 +130 -15 1.44498267330856 1.584314399 0.4094588325 -0.9098478120 +130 -10 1.40248270923144 1.564695270 0.5122654976 -0.8933854085 +130 -5 1.36318460776797 1.541922610 0.6088435834 -0.8742768774 +130 0 1.32677109442385 1.516365624 0.7000000000 -0.8528320204 +130 5 1.29297698503648 1.488260832 0.7864616194 -0.8292492994 +130 10 1.26158319225189 1.457731349 0.8688738772 -0.8036320221 +130 15 1.23242394932958 1.424810420 0.9478022053 -0.7760080826 +130 20 1.20538457652787 1.389452523 1.023734243 -0.7463392839 +130 25 1.18040333931231 1.351543286 1.097081156 -0.7145296573 +130 30 1.15747783424915 1.310909219 1.168178656 -0.6804336269 +130 35 1.13666477920196 1.267320153 1.237283356 -0.6438580576 +130 40 1.11808557474890 1.220494878 1.304566987 -0.6045669867 +130 45 1.10193542336196 1.170109413 1.370109413 -0.5622885614 + +135 -45 1.77503326757490 1.524815935 -0.3248159349 -1.024815935 +135 -40 1.70854123364293 1.538998783 -0.1718234952 -1.038998783 +135 -35 1.64795305736863 1.544286881 -0.03121754611 -1.044286881 +135 -30 1.59273454330320 1.542689515 0.09800292770 -1.042689515 +135 -25 1.54231304561683 1.535729428 0.2170314359 -1.035729428 +135 -20 1.49612496160681 1.524533026 0.3271004744 -1.024533026 +135 -15 1.45364954387838 1.509918065 0.4293932702 -1.009918065 +135 -10 1.41441952589534 1.492461185 0.5250023159 -0.9924611846 +135 -5 1.37802831980491 1.472553900 0.6149125591 -0.9725539002 +135 0 1.34412647922482 1.450440948 0.7000000000 -0.9504409482 +135 5 1.31242458308140 1.426253567 0.7810366867 -0.9262535673 +135 10 1.28268567953101 1.400026990 0.8586990418 -0.9000269903 +135 15 1.25472818359604 1.371718128 0.9335761683 -0.8717181277 +135 20 1.22842367959380 1.341213577 1.006176703 -0.8412135767 +135 25 1.20369706385527 1.308334258 1.076932455 -0.8083342582 +135 30 1.18053395141994 1.272840885 1.146199893 -0.7728408847 +135 35 1.15898500777153 1.234434050 1.214256258 -0.7344340504 +135 40 1.13917370009391 1.192754769 1.281290271 -0.6927547689 +135 45 1.12131017231127 1.147388730 1.347388730 -0.6473887298 + + +### +y patch +# N_rho = 19 +# 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 1.12131020082090 1.147388746 1.347388746 0.6473887463 +40 45 1.12720911870453 1.075185061 1.385478863 0.6854788629 +35 45 1.13539144046724 1.003787495 1.419483107 0.7194831071 +30 45 1.14556612256198 0.9329832958 1.449949067 0.7499490672 +25 45 1.15753024350902 0.8624755177 1.477331256 0.7773312562 +20 45 1.17115869725785 0.7919037740 1.501999028 0.8019990277 +15 45 1.18639305650897 0.7208551206 1.524242531 0.8242425311 +10 45 1.20323585098722 0.6488691888 1.544279124 0.8442791238 +5 45 1.22174475150387 0.5754375893 1.562255591 0.8622555909 +0 45 1.24203126636054 0.5000000000 1.578248731 0.8782487309 +-5 45 1.26426109990075 0.4219372054 1.592261825 0.8922618250 +-10 45 1.28865576993290 0.3405623146 1.604216047 0.9042160466 +-15 45 1.31549782287827 0.2551111508 1.613937627 0.9139376274 +-20 45 1.34513462119596 0.1647338457 1.621136188 0.9211361883 +-25 45 1.37798525374247 0.06848996299 1.625376261 0.9253762606 +-30 45 1.41454418279541 -0.03464744660 1.626036542 0.9260365416 +-35 45 1.45538152147099 -0.1457711280 1.622256749 0.9222567493 +-40 45 1.50113626027438 -0.2659902117 1.612871587 0.9128715867 +-45 45 1.55249035812891 -0.3963307262 1.596330726 0.8963307262 + +45 50 1.10193546780103 1.170109440 1.370109440 0.5622885840 +40 50 1.10570215565298 1.097871071 1.412514997 0.5978710713 +35 50 1.11214200031375 1.025691828 1.450765737 0.6299672527 +30 50 1.12098371697591 0.9534174518 1.485342064 0.6589802359 +25 50 1.13203106394576 0.8808089896 1.516647514 0.6852486275 +20 50 1.14515663230610 0.8075586189 1.545010361 0.7090478819 +15 50 1.16029561011904 0.7332994349 1.570685345 0.7305917515 +10 50 1.17744271673096 0.6576109431 1.593856076 0.7500343038 +5 50 1.19664845972648 0.5800201124 1.614634070 0.7674691107 +0 50 1.21801779946466 0.5000000000 1.633055767 0.7829267499 +-5 50 1.24171034370825 0.4169665908 1.649076210 0.7963694981 +-10 50 1.26794081549860 0.3302750997 1.662557741 0.8076818459 +-15 50 1.29698199472231 0.2392171755 1.673254751 0.8166577025 +-20 50 1.32916512877859 0.1430215922 1.680790115 0.8229806235 +-25 50 1.36488077847485 0.04086165407 1.684625360 0.8261987767 +-30 50 1.40457759142395 -0.06812599749 1.684023093 0.8256934142 +-35 50 1.44875146746298 -0.1848017675 1.677998279 0.8206379954 +-40 50 1.49792911337515 -0.3099545426 1.665266236 0.8099545426 +-45 50 1.55263324321751 -0.4441879527 1.644187953 0.7922677628 + +45 55 1.08622217287258 1.188325168 1.388325168 0.4819704713 +40 55 1.08800674236178 1.116295957 1.434472921 0.5142834758 +35 55 1.09276206557541 1.043695911 1.476478232 0.5436959111 +30 55 1.10025527962110 0.9703977033 1.514752722 0.5704959976 +25 55 1.11031346209287 0.8961942000 1.549641204 0.5949251757 +20 55 1.12282261230090 0.8208109712 1.581420899 0.6171775579 +15 55 1.13772485206280 0.7439141735 1.610300088 0.6373989838 +10 55 1.15501723783596 0.6651156082 1.636417147 0.6556863450 +5 55 1.17474991755000 0.5839748606 1.659837049 0.6720851370 +0 55 1.19702488125543 0.5000000000 1.680545379 0.6865852656 +-5 55 1.22199621471572 0.4126478238 1.698439943 0.6991151743 +-10 55 1.24986884830237 0.3213248701 1.713317016 0.7095322131 +-15 55 1.28089889267532 0.2253910784 1.724854448 0.7176108099 +-20 55 1.31539204145013 0.1241684184 1.732588784 0.7230264505 +-25 55 1.35369813224973 0.01695861853 1.735885585 0.7253348957 +-30 55 1.39620583801578 -0.09692694203 1.733907792 0.7239500298 +-35 55 1.44332446138884 -0.2181157114 1.725575522 0.7181157114 +-40 55 1.49546033459064 -0.3470959987 1.709529700 0.7068803058 +-45 55 1.55297915766585 -0.4841031293 1.684103129 0.6890764295 + +45 60 1.07359048706437 1.202829953 1.402829953 0.4057790627 +40 60 1.07360593097628 1.131128784 1.452149995 0.4342540022 +35 60 1.07681056024147 1.058339620 1.497391616 0.4603742639 +30 60 1.08301844170332 0.9843405713 1.538902478 0.4843405713 +25 60 1.09209100266353 0.9089373876 1.576969058 0.5063183216 +20 60 1.10393865747968 0.8318733015 1.611814402 0.5264362904 +15 60 1.11852045464132 0.7528355360 1.643595066 0.5447848656 +10 60 1.13584372700114 0.6714599112 1.672397477 0.5614139451 +5 60 1.15596460742895 0.5873341180 1.698233537 0.5763304012 +0 60 1.17898569467969 0.5000000000 1.721031562 0.5894928473 +-5 60 1.20505622500147 0.4089569681 1.740626616 0.6008060568 +-10 60 1.23436957743918 0.3136672387 1.756745602 0.6101123576 +-15 60 1.26716095245821 0.2135650785 1.768989680 0.6171814796 +-20 60 1.30370395482247 0.1080719407 1.776813493 0.6216985600 +-25 60 1.34430010136180 -0.003377987989 1.779497579 0.6232482178 +-30 60 1.38926991805512 -0.1213003952 1.776123851 0.6213003952 +-35 60 1.43893193368329 -0.2461040399 1.765546997 0.6151938458 +-40 60 1.49357446253690 -0.3780110155 1.746372782 0.6041236074 +-45 60 1.55341969265182 -0.5169519039 1.716951904 0.5871374555 + +45 65 1.06357789367846 1.214238220 1.414238220 0.3330547515 +40 65 1.06207286952079 1.142901065 1.466179653 0.3572754399 +35 65 1.06391257849281 1.070062779 1.514134021 0.3796369290 +30 65 1.06895848109065 0.9955935565 1.558393220 0.4002753321 +25 65 1.07711038633024 0.9192992768 1.599190201 0.4192992768 +20 65 1.08830880549383 0.8409293980 1.636695823 0.4367884355 +15 65 1.10253569692092 0.7601826264 1.671014781 0.4527916286 +10 65 1.11981507581706 0.6767115304 1.702180889 0.4673246236 +5 65 1.14021327477887 0.5901265236 1.730150879 0.4803672438 +0 65 1.16383649813913 0.5000000000 1.754794081 0.4918585578 +-5 65 1.19083039391421 0.4058725188 1.775882033 0.5016920315 +-10 65 1.22137615703966 0.3072617037 1.793073196 0.5097084020 +-15 65 1.25568595505264 0.2036761071 1.805895824 0.5156876917 +-20 65 1.29399805440326 0.09463529514 1.813730373 0.5193410022 +-25 65 1.33656277026880 -0.02029932129 1.815785495 0.5202993213 +-30 65 1.38363073558559 -0.1414827977 1.811080798 0.5181054848 +-35 65 1.43543261838380 -0.2691296484 1.798430974 0.5122067753 +-40 65 1.49214876081688 -0.4032374844 1.776436517 0.5019505914 +-45 65 1.55387751088926 -0.5434954631 1.743495463 0.4865899257 + +45 70 1.05582415714551 1.223018964 1.423018964 0.2631573815 +40 70 1.05306662141970 1.152028409 1.477057199 0.2828256909 +35 70 1.05376014129039 1.079216257 1.527206543 0.3010785591 +30 70 1.05780968768398 1.004438724 1.573713500 0.3180057071 +25 70 1.06515267144715 0.9274948127 1.616765584 0.3336753845 +20 70 1.07576067347109 0.8481329112 1.656487312 0.3481329112 +15 70 1.08964100489960 0.7660564293 1.692936112 0.3613991892 +10 70 1.10683676099021 0.6809284744 1.726096368 0.3734685353 +5 70 1.12742679510469 0.5923768641 1.755872388 0.3843061203 +0 70 1.15152269750141 0.5000000000 1.782077382 0.3938439580 +-5 70 1.17926771695549 0.4033754972 1.804423121 0.4019771422 +-10 70 1.21083135723315 0.3020721050 1.822504873 0.4085583615 +-15 70 1.24640301485540 0.1956671655 1.835785601 0.4133921511 +-20 70 1.28618603884884 0.08377016276 1.843582079 0.4162298372 +-25 70 1.33038120112157 -0.03394323423 1.845044961 0.4167622827 +-30 70 1.37917368637868 -0.1576878836 1.839148830 0.4146162665 +-35 70 1.43271466593375 -0.2875147232 1.824687582 0.4093528028 +-40 70 1.49109186877091 -0.4232409799 1.800275755 0.4004676242 +-45 70 1.55430202049616 -0.5643721574 1.764372157 0.3873997835 + +45 75 1.05005436906904 1.229521693 1.429521693 0.1954747485 +40 75 1.04632088655242 1.158826425 1.485158759 0.2103826555 +35 75 1.04610826409653 1.086071705 1.536997138 0.2242727072 +30 75 1.04935770647844 1.011098563 1.585248679 0.2372016686 +25 75 1.05603910864814 0.9336963140 1.630064747 0.2492100978 +20 75 1.06615217373647 0.8536086926 1.671531898 0.2603211876 +15 75 1.07972826624037 0.7705397453 1.709668075 0.2705397453 +10 75 1.09682889666436 0.6841585786 1.744415199 0.2798502090 +5 75 1.11754570605851 0.5941056292 1.775632264 0.2882147964 +0 75 1.14199633074285 0.5000000000 1.803083749 0.2955703998 +-5 75 1.17032260866200 0.4014501645 1.826429774 0.3018259482 +-10 75 1.20268412052600 0.2980682322 1.845211964 0.3068586208 +-15 75 1.23924987704614 0.1894900721 1.858838827 0.3105099279 +-20 75 1.28019145130477 0.07540130148 1.866575337 0.3125829193 +-25 75 1.32566633790588 -0.04442737933 1.867528283 0.3128382605 +-30 75 1.37580389610974 -0.1700969460 1.860641956 0.3109930749 +-35 75 1.43068827882346 -0.3015288172 1.844701783 0.3067219182 +-40 75 1.49033377130598 -0.4384035851 1.818345844 0.2996598657 +-45 75 1.55465895797379 -0.5800940106 1.780094011 0.2894103179 + +45 80 1.04606833684827 1.233998790 1.433998790 0.1294237905 +40 80 1.04163799566835 1.163526317 1.490759872 0.1394323006 +35 80 1.04077138387429 1.090830649 1.543793614 0.1487835803 +30 80 1.04343671317309 1.015739892 1.593287697 0.1575107226 +25 80 1.04962891607403 0.9380343226 1.639367636 0.1656358591 +20 80 1.05936979582729 0.8574522459 1.682091974 0.1731693126 +15 80 1.07271017597760 0.7736964424 1.721449029 0.1801090232 +10 80 1.08972681303142 0.6864390390 1.757348333 0.1864390390 +5 80 1.11052222064447 0.5953288741 1.789614017 0.1921283497 +0 80 1.13521941721316 0.5000000000 1.817972883 0.1971287831 +-5 80 1.16395965770336 0.4000839771 1.842045368 0.2013734115 +-10 80 1.19689495365395 0.2952257921 1.861332243 0.2047742079 +-15 80 1.23417757268478 0.1851059881 1.875200452 0.2072195474 +-20 80 1.27595437618586 0.06946784855 1.882877364 0.2085731942 +-25 80 1.32234924898582 -0.05184679901 1.883439280 0.2086722750 +-30 80 1.37344889721373 -0.1788551501 1.875811611 0.2073273112 +-35 80 1.42928730305558 -0.3113854383 1.858778496 0.2043239136 +-40 80 1.48982512106627 -0.4490227691 1.831001295 0.1994260434 +-45 80 1.55492644987692 -0.5910512179 1.791051218 0.1923817671 + +45 85 1.04372938964099 1.236619904 1.436619904 0.06444589093 +40 85 1.03888151466718 1.166285462 1.494048093 0.06947020647 +35 85 1.03762037469267 1.093632075 1.547794465 0.07417240471 +30 85 1.03993073097157 1.018479278 1.598032453 0.07856765909 +25 85 1.04582306535566 0.9406010301 1.644871958 0.08266558483 +20 85 1.05533333265817 0.8597316123 1.688354482 0.08646981270 +15 85 1.06852496563652 0.7755723580 1.728450041 0.08997771962 +10 85 1.08548473568168 0.6877966843 1.765047922 0.09317961925 +5 85 1.10632238952243 0.5960582048 1.797950305 0.09605820480 +0 85 1.13116469321263 0.5000000000 1.826860270 0.09858749901 +-5 85 1.16015292986375 0.3992678727 1.851373483 0.1007321273 +-10 85 1.19343378687471 0.2935273516 1.870964577 0.1024461259 +-15 85 1.23114914373129 0.1824869015 1.884975016 0.1036718804 +-20 85 1.27343007328502 0.06592572299 1.892609274 0.1043397915 +-25 85 1.32037919046791 -0.05627041581 1.892925756 0.1043674801 +-30 85 1.37205651597201 -0.1840675547 1.884839761 0.1036600471 +-35 85 1.42846509021709 -0.3172379002 1.867136678 0.1021112281 +-40 85 1.48953293115318 -0.4553102290 1.838494397 0.09960535326 +-45 85 1.55509178455830 -0.5975177785 1.797517778 0.09602036364 + +45 90 1.04295816989197 1.237482794 1.437482794 0.000000000 +40 90 1.03797119300506 1.167195022 1.495132065 0.000000000 +35 90 1.03657816080245 1.094556807 1.549115119 0.000000000 +30 90 1.03876940611818 1.019384703 1.599600694 0.000000000 +25 90 1.04456069787247 0.9414504264 1.646693495 0.000000000 +20 90 1.05399286329190 0.8604867902 1.690429316 0.000000000 +15 90 1.06713366901055 0.7761945172 1.730771971 0.000000000 +10 90 1.08407337456397 0.6882473660 1.767603864 0.000000000 +5 90 1.10492425383554 0.5963004940 1.800719683 0.000000000 +0 90 1.12981442347187 0.5000000000 1.829814423 0.000000000 +-5 90 1.15888524114048 0.3989964960 1.854475333 0.000000000 +-10 90 1.19228148789264 0.2929624924 1.874168053 0.000000000 +-15 90 1.23014151156186 0.1816159486 1.888225456 0.000000000 +-20 90 1.27259096538567 0.06474825562 1.895844339 0.000000000 +-25 90 1.31972518907942 -0.05773996538 1.896077216 0.000000000 +-30 90 1.37159512981244 -0.1857975649 1.887836226 0.000000000 +-35 90 1.42819339206714 -0.3191780762 1.869907537 0.000000000 +-40 90 1.48943700319402 -0.4573916511 1.840974940 0.000000000 +-45 90 1.55514701702316 -0.5996550015 1.799655001 0.000000000 + +45 95 1.04372938964099 1.236619904 1.436619904 -0.06444589093 +40 95 1.03888151466718 1.166285462 1.494048093 -0.06947020647 +35 95 1.03762037469267 1.093632075 1.547794465 -0.07417240471 +30 95 1.03993073097157 1.018479278 1.598032453 -0.07856765909 +25 95 1.04582306535566 0.9406010301 1.644871958 -0.08266558483 +20 95 1.05533333265817 0.8597316123 1.688354482 -0.08646981270 +15 95 1.06852496563652 0.7755723580 1.728450041 -0.08997771962 +10 95 1.08548473568168 0.6877966843 1.765047922 -0.09317961925 +5 95 1.10632238952243 0.5960582048 1.797950305 -0.09605820480 +0 95 1.13116469321263 0.5000000000 1.826860270 -0.09858749901 +-5 95 1.16015292986375 0.3992678727 1.851373483 -0.1007321273 +-10 95 1.19343378687471 0.2935273516 1.870964577 -0.1024461259 +-15 95 1.23114914373129 0.1824869015 1.884975016 -0.1036718804 +-20 95 1.27343007328502 0.06592572299 1.892609274 -0.1043397915 +-25 95 1.32037919046791 -0.05627041581 1.892925756 -0.1043674801 +-30 95 1.37205651597201 -0.1840675547 1.884839761 -0.1036600471 +-35 95 1.42846509021710 -0.3172379002 1.867136678 -0.1021112281 +-40 95 1.48953293115318 -0.4553102290 1.838494397 -0.09960535326 +-45 95 1.55509178455830 -0.5975177785 1.797517778 -0.09602036364 + +45 100 1.04606833684827 1.233998790 1.433998790 -0.1294237905 +40 100 1.04163799566835 1.163526317 1.490759872 -0.1394323006 +35 100 1.04077138387429 1.090830649 1.543793614 -0.1487835803 +30 100 1.04343671317310 1.015739892 1.593287697 -0.1575107226 +25 100 1.04962891607403 0.9380343226 1.639367636 -0.1656358591 +20 100 1.05936979582729 0.8574522459 1.682091974 -0.1731693126 +15 100 1.07271017597760 0.7736964424 1.721449029 -0.1801090232 +10 100 1.08972681303142 0.6864390390 1.757348333 -0.1864390390 +5 100 1.11052222064448 0.5953288741 1.789614017 -0.1921283497 +0 100 1.13521941721317 0.5000000000 1.817972883 -0.1971287831 +-5 100 1.16395965770336 0.4000839771 1.842045368 -0.2013734115 +-10 100 1.19689495365395 0.2952257921 1.861332243 -0.2047742079 +-15 100 1.23417757268478 0.1851059881 1.875200452 -0.2072195474 +-20 100 1.27595437618586 0.06946784855 1.882877364 -0.2085731942 +-25 100 1.32234924898582 -0.05184679901 1.883439280 -0.2086722750 +-30 100 1.37344889721373 -0.1788551501 1.875811611 -0.2073273112 +-35 100 1.42928730305558 -0.3113854383 1.858778496 -0.2043239136 +-40 100 1.48982512106627 -0.4490227691 1.831001295 -0.1994260434 +-45 100 1.55492644987692 -0.5910512179 1.791051218 -0.1923817671 + +45 105 1.05005436906904 1.229521693 1.429521693 -0.1954747485 +40 105 1.04632088655242 1.158826425 1.485158759 -0.2103826555 +35 105 1.04610826409653 1.086071705 1.536997138 -0.2242727072 +30 105 1.04935770647844 1.011098563 1.585248679 -0.2372016686 +25 105 1.05603910864814 0.9336963140 1.630064747 -0.2492100978 +20 105 1.06615217373647 0.8536086926 1.671531898 -0.2603211876 +15 105 1.07972826624038 0.7705397453 1.709668075 -0.2705397453 +10 105 1.09682889666436 0.6841585786 1.744415199 -0.2798502090 +5 105 1.11754570605851 0.5941056292 1.775632264 -0.2882147964 +0 105 1.14199633074285 0.5000000000 1.803083749 -0.2955703998 +-5 105 1.17032260866200 0.4014501645 1.826429774 -0.3018259482 +-10 105 1.20268412052600 0.2980682322 1.845211964 -0.3068586208 +-15 105 1.23924987704614 0.1894900721 1.858838827 -0.3105099279 +-20 105 1.28019145130477 0.07540130148 1.866575337 -0.3125829193 +-25 105 1.32566633790588 -0.04442737933 1.867528283 -0.3128382605 +-30 105 1.37580389610974 -0.1700969460 1.860641956 -0.3109930749 +-35 105 1.43068827882346 -0.3015288172 1.844701783 -0.3067219182 +-40 105 1.49033377130598 -0.4384035851 1.818345844 -0.2996598657 +-45 105 1.55465895797379 -0.5800940106 1.780094011 -0.2894103179 + +45 110 1.05582415714551 1.223018964 1.423018964 -0.2631573815 +40 110 1.05306662141970 1.152028409 1.477057199 -0.2828256909 +35 110 1.05376014129039 1.079216257 1.527206543 -0.3010785591 +30 110 1.05780968768398 1.004438724 1.573713500 -0.3180057071 +25 110 1.06515267144715 0.9274948127 1.616765584 -0.3336753845 +20 110 1.07576067347109 0.8481329112 1.656487312 -0.3481329112 +15 110 1.08964100489960 0.7660564293 1.692936112 -0.3613991892 +10 110 1.10683676099021 0.6809284744 1.726096368 -0.3734685353 +5 110 1.12742679510469 0.5923768641 1.755872388 -0.3843061203 +0 110 1.15152269750141 0.5000000000 1.782077382 -0.3938439580 +-5 110 1.17926771695550 0.4033754972 1.804423121 -0.4019771422 +-10 110 1.21083135723315 0.3020721050 1.822504873 -0.4085583615 +-15 110 1.24640301485540 0.1956671655 1.835785601 -0.4133921511 +-20 110 1.28618603884885 0.08377016276 1.843582079 -0.4162298372 +-25 110 1.33038120112157 -0.03394323423 1.845044961 -0.4167622827 +-30 110 1.37917368637868 -0.1576878836 1.839148830 -0.4146162665 +-35 110 1.43271466593375 -0.2875147232 1.824687582 -0.4093528028 +-40 110 1.49109186877091 -0.4232409799 1.800275755 -0.4004676242 +-45 110 1.55430202049616 -0.5643721574 1.764372157 -0.3873997835 + +45 115 1.06357789367846 1.214238220 1.414238220 -0.3330547515 +40 115 1.06207286952080 1.142901065 1.466179653 -0.3572754399 +35 115 1.06391257849281 1.070062779 1.514134021 -0.3796369290 +30 115 1.06895848109065 0.9955935565 1.558393220 -0.4002753321 +25 115 1.07711038633024 0.9192992768 1.599190201 -0.4192992768 +20 115 1.08830880549384 0.8409293980 1.636695823 -0.4367884355 +15 115 1.10253569692092 0.7601826264 1.671014781 -0.4527916286 +10 115 1.11981507581706 0.6767115304 1.702180889 -0.4673246236 +5 115 1.14021327477887 0.5901265236 1.730150879 -0.4803672438 +0 115 1.16383649813913 0.5000000000 1.754794081 -0.4918585578 +-5 115 1.19083039391421 0.4058725188 1.775882033 -0.5016920315 +-10 115 1.22137615703966 0.3072617037 1.793073196 -0.5097084020 +-15 115 1.25568595505264 0.2036761071 1.805895824 -0.5156876917 +-20 115 1.29399805440326 0.09463529514 1.813730373 -0.5193410022 +-25 115 1.33656277026880 -0.02029932129 1.815785495 -0.5202993213 +-30 115 1.38363073558559 -0.1414827977 1.811080798 -0.5181054848 +-35 115 1.43543261838380 -0.2691296484 1.798430974 -0.5122067753 +-40 115 1.49214876081688 -0.4032374844 1.776436517 -0.5019505914 +-45 115 1.55387751088926 -0.5434954631 1.743495463 -0.4865899257 + +45 120 1.07359048706437 1.202829953 1.402829953 -0.4057790627 +40 120 1.07360593097628 1.131128784 1.452149995 -0.4342540022 +35 120 1.07681056024147 1.058339620 1.497391616 -0.4603742639 +30 120 1.08301844170332 0.9843405713 1.538902478 -0.4843405713 +25 120 1.09209100266353 0.9089373876 1.576969058 -0.5063183216 +20 120 1.10393865747968 0.8318733015 1.611814402 -0.5264362904 +15 120 1.11852045464132 0.7528355360 1.643595066 -0.5447848656 +10 120 1.13584372700114 0.6714599112 1.672397477 -0.5614139451 +5 120 1.15596460742895 0.5873341180 1.698233537 -0.5763304012 +0 120 1.17898569467970 0.5000000000 1.721031562 -0.5894928473 +-5 120 1.20505622500147 0.4089569681 1.740626616 -0.6008060568 +-10 120 1.23436957743918 0.3136672387 1.756745602 -0.6101123576 +-15 120 1.26716095245821 0.2135650785 1.768989680 -0.6171814796 +-20 120 1.30370395482248 0.1080719407 1.776813493 -0.6216985600 +-25 120 1.34430010136180 -0.003377987989 1.779497579 -0.6232482178 +-30 120 1.38926991805512 -0.1213003952 1.776123851 -0.6213003952 +-35 120 1.43893193368329 -0.2461040399 1.765546997 -0.6151938458 +-40 120 1.49357446253690 -0.3780110155 1.746372782 -0.6041236074 +-45 120 1.55341969265182 -0.5169519039 1.716951904 -0.5871374555 + +45 125 1.08622217287258 1.188325168 1.388325168 -0.4819704713 +40 125 1.08800674236178 1.116295957 1.434472921 -0.5142834758 +35 125 1.09276206557541 1.043695911 1.476478232 -0.5436959111 +30 125 1.10025527962110 0.9703977033 1.514752722 -0.5704959976 +25 125 1.11031346209287 0.8961942000 1.549641204 -0.5949251757 +20 125 1.12282261230090 0.8208109712 1.581420899 -0.6171775579 +15 125 1.13772485206281 0.7439141735 1.610300088 -0.6373989838 +10 125 1.15501723783596 0.6651156082 1.636417147 -0.6556863450 +5 125 1.17474991755000 0.5839748606 1.659837049 -0.6720851370 +0 125 1.19702488125543 0.5000000000 1.680545379 -0.6865852656 +-5 125 1.22199621471572 0.4126478238 1.698439943 -0.6991151743 +-10 125 1.24986884830237 0.3213248701 1.713317016 -0.7095322131 +-15 125 1.28089889267532 0.2253910784 1.724854448 -0.7176108099 +-20 125 1.31539204145013 0.1241684184 1.732588784 -0.7230264505 +-25 125 1.35369813224973 0.01695861853 1.735885585 -0.7253348957 +-30 125 1.39620583801579 -0.09692694203 1.733907792 -0.7239500298 +-35 125 1.44332446138884 -0.2181157114 1.725575522 -0.7181157114 +-40 125 1.49546033459064 -0.3470959987 1.709529700 -0.7068803058 +-45 125 1.55297915766585 -0.4841031293 1.684103129 -0.6890764295 + +45 130 1.10193546780103 1.170109440 1.370109440 -0.5622885840 +40 130 1.10570215565299 1.097871071 1.412514997 -0.5978710713 +35 130 1.11214200031376 1.025691828 1.450765737 -0.6299672527 +30 130 1.12098371697591 0.9534174518 1.485342064 -0.6589802359 +25 130 1.13203106394576 0.8808089896 1.516647514 -0.6852486275 +20 130 1.14515663230610 0.8075586189 1.545010361 -0.7090478819 +15 130 1.16029561011904 0.7332994349 1.570685345 -0.7305917515 +10 130 1.17744271673096 0.6576109431 1.593856076 -0.7500343038 +5 130 1.19664845972648 0.5800201124 1.614634070 -0.7674691107 +0 130 1.21801779946466 0.5000000000 1.633055767 -0.7829267499 +-5 130 1.24171034370825 0.4169665908 1.649076210 -0.7963694981 +-10 130 1.26794081549860 0.3302750997 1.662557741 -0.8076818459 +-15 130 1.29698199472231 0.2392171755 1.673254751 -0.8166577025 +-20 130 1.32916512877859 0.1430215922 1.680790115 -0.8229806235 +-25 130 1.36488077847485 0.04086165407 1.684625360 -0.8261987767 +-30 130 1.40457759142396 -0.06812599749 1.684023093 -0.8256934142 +-35 130 1.44875146746298 -0.1848017675 1.677998279 -0.8206379954 +-40 130 1.49792911337515 -0.3099545426 1.665266236 -0.8099545426 +-45 130 1.55263324321751 -0.4441879527 1.644187953 -0.7922677628 + +45 135 1.12131020082090 1.147388746 1.347388746 -0.6473887463 +40 135 1.12720911870453 1.075185061 1.385478863 -0.6854788629 +35 135 1.13539144046724 1.003787495 1.419483107 -0.7194831071 +30 135 1.14556612256198 0.9329832958 1.449949067 -0.7499490672 +25 135 1.15753024350902 0.8624755177 1.477331256 -0.7773312562 +20 135 1.17115869725785 0.7919037740 1.501999028 -0.8019990277 +15 135 1.18639305650897 0.7208551206 1.524242531 -0.8242425311 +10 135 1.20323585098722 0.6488691888 1.544279124 -0.8442791238 +5 135 1.22174475150387 0.5754375893 1.562255591 -0.8622555909 +0 135 1.24203126636054 0.5000000000 1.578248731 -0.8782487309 +-5 135 1.26426109990075 0.4219372054 1.592261825 -0.8922618250 +-10 135 1.28865576993290 0.3405623146 1.604216047 -0.9042160466 +-15 135 1.31549782287827 0.2551111508 1.613937627 -0.9139376274 +-20 135 1.34513462119596 0.1647338457 1.621136188 -0.9211361883 +-25 135 1.37798525374247 0.06848996299 1.625376261 -0.9253762606 +-30 135 1.41454418279541 -0.03464744660 1.626036542 -0.9260365416 +-35 135 1.45538152147099 -0.1457711280 1.622256749 -0.9222567493 +-40 135 1.50113626027438 -0.2659902117 1.612871587 -0.9128715867 +-45 135 1.55249035812891 -0.3963307262 1.596330726 -0.8963307262 + + +### -x patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = drho = dnu +# dpy = 180 - dsigma = 180 - dphi +# +# dpx dpy gridfn global_x global_y global_z +-135 45 1.55248985160445 -0.3963304337 1.596330434 -0.8963304337 +-135 40 1.60660117207724 -0.4770069513 1.519806172 -0.9770069513 +-135 35 1.66001804746643 -0.5519323117 1.436570934 -1.051932312 +-135 30 1.71262426662127 -0.6211757627 1.347311128 -1.121175763 +-135 25 1.76440207903668 -0.6848717493 1.252514771 -1.184871749 +-135 20 1.81540288031360 -0.7431716968 1.152477494 -1.243171697 +-135 15 1.86572804063837 -0.7962081952 1.047317939 -1.296208195 +-135 10 1.91550861570575 -0.8440622920 0.9369944458 -1.344062292 +-135 5 1.96489585407488 -0.8867400974 0.8213240378 -1.386740097 +-135 -2.84217e-14 2.01404283244060 -0.9241433444 0.7000000000 -1.424143344 +-135 -5 2.06310173018994 -0.9560496365 0.5726121633 -1.456049637 +-135 -10 2.11221012486631 -0.9820825959 0.4386688507 -1.482082596 +-135 -15 2.16147562711514 -1.001677823 0.2976266401 -1.501677823 +-135 -20 2.21096539178387 -1.014049376 0.1489310940 -1.514049376 +-135 -25 2.26067984557981 -1.018143577 -0.007921976075 -1.518143577 +-135 -30 2.31052188251308 -1.012591632 -0.1732951857 -1.512591632 +-135 -35 2.36025681831864 -0.9956647097 -0.3472757043 -1.495664710 +-135 -40 2.40945721075038 -0.9652400886 -0.5294824179 -1.465240089 +-135 -45 2.45743073895602 -0.9187982987 -0.7187982987 -1.418798299 + +-130 45 1.55263271387922 -0.4441876308 1.644187631 -0.7922674927 +-130 40 1.61011913887790 -0.5375615420 1.570617507 -0.8706175072 +-130 35 1.66762425647872 -0.6257511657 1.488259452 -0.9446173879 +-130 30 1.72489872090872 -0.7084346101 1.397690047 -1.013997036 +-130 25 1.78178919645611 -0.7853832051 1.299384032 -1.078564573 +-130 20 1.83821357040732 -0.8564166405 1.193695282 -1.138168703 +-130 15 1.89414741434082 -0.9213674340 1.080854256 -1.192668890 +-130 10 1.94960060804347 -0.9800400264 0.9609709892 -1.241901040 +-130 5 2.00460994491373 -1.032183105 0.8340486521 -1.285654278 +-130 -2.84217e-14 2.05921287748699 -1.077448582 0.7000000000 -1.323636523 +-130 -5 2.11344276549382 -1.115367272 0.5586736763 -1.355454082 +-130 -10 2.16731120887965 -1.145315110 0.4098865543 -1.380583302 +-130 -15 2.22078638097166 -1.166477179 0.2534687857 -1.398340386 +-130 -20 2.27377616289758 -1.177818004 0.08932418793 -1.407856469 +-130 -25 2.32610436212161 -1.178052312 -0.08248864378 -1.408053076 +-130 -30 2.37747735479495 -1.165620065 -0.2616461931 -1.397621183 +-130 -35 2.42744646897030 -1.138678906 -0.4474153226 -1.375014866 +-130 -40 2.47536611245343 -1.095127105 -0.6384705655 -1.338470566 +-130 -45 2.52034818793482 -1.032675154 -0.8326751543 -1.286067157 + +-125 45 1.55297881570226 -0.4841029127 1.684102913 -0.6890762778 +-125 40 1.61341789912435 -0.5891584682 1.613912469 -0.7626369697 +-125 35 1.67460265037511 -0.6899136563 1.533186512 -0.8331865119 +-125 30 1.73617929487575 -0.7856623661 1.442277513 -0.9002304803 +-125 25 1.79786825819555 -0.8757763041 1.341535027 -0.9633289390 +-125 20 1.85945175706874 -0.9596781555 1.231279400 -1.022077648 +-125 15 1.92076507786200 -1.036815001 1.111788338 -1.076089449 +-125 10 1.98167656802713 -1.106621838 0.9832907778 -1.124968722 +-125 5 2.04207851229382 -1.168493509 0.8459742672 -1.168291733 +-125 -2.84217e-14 2.10186610242332 -1.221747915 0.7000000000 -1.205580869 +-125 -5 2.16092514393022 -1.265597922 0.5455301975 -1.236284974 +-125 -10 2.21911417578166 -1.299121690 0.3827663045 -1.259758569 +-125 -15 2.27624329274331 -1.321235131 0.2120015174 -1.275242568 +-125 -20 2.33205371533885 -1.330672860 0.03368957037 -1.281850936 +-125 -25 2.38619617483264 -1.325980374 -0.1514686320 -1.278565222 +-125 -30 2.43820470423046 -1.305520915 -0.3424179863 -1.264239355 +-125 -35 2.48746912333652 -1.267507939 -0.5376223828 -1.237622383 +-125 -40 2.53321215260074 -1.210077389 -0.7349253061 -1.197409078 +-125 -45 2.57447042868202 -1.131409149 -0.9314091485 -1.142324984 + +-120 45 1.55341934694113 -0.5169516776 1.716951678 -0.5871373248 +-120 40 1.61639539173671 -0.6324190292 1.650212390 -0.6538024313 +-120 35 1.68082554364379 -0.7446722247 1.571528874 -0.7186118440 +-120 30 1.74627717758318 -0.8526604853 1.480958895 -0.7809588953 +-120 25 1.81236158053200 -0.9553595111 1.378645285 -0.8402522055 +-120 20 1.87873407707369 -1.051768096 1.264797397 -0.8959137280 +-120 15 1.94507927000569 -1.140888368 1.139674713 -0.9473673408 +-120 10 2.01111196769873 -1.221715899 1.003584966 -0.9940331377 +-120 5 2.07656222273214 -1.293215847 0.8568860578 -1.035313652 +-120 -2.84217e-14 2.14115740125573 -1.354296703 0.7000000000 -1.070578701 +-120 -5 2.20461598231145 -1.403796704 0.5334393708 -1.099157539 +-120 -10 2.26662661496598 -1.440462362 0.3578441305 -1.120326467 +-120 -15 2.32683322813165 -1.462939833 0.1740318570 -1.133303841 +-120 -20 2.38481562790618 -1.469773611 -0.01693896253 -1.137249324 +-120 -25 2.44007228462769 -1.459422692 -0.2136938069 -1.131273219 +-120 -30 2.49200401169660 -1.430298007 -0.4144580741 -1.114458074 +-120 -35 2.53990029104239 -1.380827762 -0.6169697771 -1.085896415 +-120 -40 2.58293535848199 -1.309560437 -0.8184014951 -1.044750205 +-120 -45 2.62016568701467 -1.215301085 -1.015301085 -0.9903295431 + +-115 45 1.55387728683649 -0.5434953126 1.743495313 -0.4865898555 +-115 40 1.61898499881814 -0.6679362131 1.680014846 -0.5446176004 +-115 35 1.68619916593566 -0.7903241636 1.603494706 -0.6016880390 +-115 30 1.75503942980750 -0.9093287752 1.513676348 -0.6571808007 +-115 25 1.82502908110112 -1.023565539 1.410450278 -0.7104502784 +-115 20 1.89570438203703 -1.131612615 1.293858426 -0.7608334574 +-115 15 1.96660690839658 -1.232011382 1.164091051 -0.8076501716 +-115 10 2.03729206161115 -1.323278874 1.021493259 -0.8502089019 +-115 5 2.10731928048645 -1.403904170 0.8665700313 -0.8878050948 +-115 -2.84217e-14 2.17623437716579 -1.472338162 0.7000000000 -0.9197163896 +-115 -5 2.24357873213227 -1.527010782 0.5226595357 -0.9452106510 +-115 -10 2.30886810473380 -1.566326433 0.3356508990 -0.9635438398 +-115 -15 2.37158286590972 -1.588677966 0.1403404257 -0.9739665311 +-115 -20 2.43115601996692 -1.592470149 -0.06159685029 -0.9757348549 +-115 -25 2.48696368574157 -1.576159885 -0.2681292540 -0.9681292540 +-115 -30 2.53831796835968 -1.538315774 -0.4768221607 -0.9504822550 +-115 -35 2.58446715729389 -1.477702569 -0.6848022474 -0.9222178537 +-115 -40 2.62460157121352 -1.393388279 -0.8887414063 -0.8829014542 +-115 -45 2.65786606745866 -1.284871178 -1.084871178 -0.8322990990 + +-110 45 1.55430191103686 -0.5643720824 1.764372082 -0.3873997562 +-110 40 1.62114189177766 -0.6962395850 1.703764195 -0.4353956020 +-110 35 1.69065888369638 -0.8271749759 1.629297923 -0.4830521869 +-110 30 1.76234833022529 -0.9556375734 1.540412745 -0.5298087486 +-110 25 1.83566718693510 -1.079939239 1.436737767 -0.5750508549 +-110 20 1.91004763638523 -1.198273952 1.318121168 -0.6181211682 +-110 15 1.98490172577672 -1.308743057 1.184651241 -0.6583286340 +-110 10 2.05963560679304 -1.409391420 1.036677224 -0.6949616425 +-110 5 2.13363512849232 -1.498219687 0.8748215699 -0.7272924876 +-110 -2.84217e-14 2.20627348896567 -1.573218917 0.7000000000 -0.7545899749 +-110 -5 2.27691465237877 -1.632405688 0.5134386763 -0.7761321978 +-110 -10 2.34490997490419 -1.673855886 0.3166905551 -0.7912188361 +-110 -15 2.40959060019432 -1.695741084 0.1116529497 -0.7991843968 +-110 -20 2.47026621394284 -1.696379130 -0.09941662646 -0.7994166265 +-110 -25 2.52622300953386 -1.674293296 -0.3138896152 -0.7913780405 +-110 -30 2.57672358981738 -1.628282820 -0.5287646589 -0.7746315965 +-110 -35 2.62101891190844 -1.557511864 -0.7406853172 -0.7488730752 +-110 -40 2.65836126793010 -1.461603112 -0.9459804478 -0.7139651442 +-110 -45 2.68801502318323 -1.340728707 -1.140728707 -0.6699704589 + +-105 45 1.55465888722115 -0.5800939615 1.780093961 -0.2894103047 +-105 40 1.62283770426213 -0.7177767401 1.721836013 -0.3263022941 +-105 35 1.69416256269901 -0.8555090472 1.649137653 -0.3632075545 +-105 30 1.76811609525302 -0.9916004597 1.561175927 -0.3996731386 +-105 25 1.84410894449972 -1.124126138 1.457342456 -0.4351832870 +-105 20 1.92149418737497 -1.250962894 1.337298375 -0.4691690934 +-105 15 1.99957292632278 -1.369826891 1.201018605 -0.5010186054 +-105 10 2.07761684994073 -1.478334653 1.048833776 -0.5300931727 +-105 5 2.15486187082460 -1.574043987 0.8814553365 -0.5557384115 +-105 -2.84217e-14 2.23052049592981 -1.654517353 0.7000000000 -0.5773011848 +-105 -5 2.30380284716851 -1.717398947 0.5060027296 -0.5941502571 +-105 -10 2.37391379130831 -1.760472578 0.3014176953 -0.6056918018 +-105 -15 2.44005848093980 -1.781730715 0.08861209756 -0.6113879024 +-105 -20 2.50144961650121 -1.779447676 -0.1296511045 -0.6107761639 +-105 -25 2.55731238628798 -1.752251908 -0.3502423127 -0.6034890798 +-105 -30 2.60689384556711 -1.699201777 -0.5697097379 -0.5892743401 +-105 -35 2.64947500199817 -1.619859932 -0.7843419045 -0.5680147569 +-105 -40 2.68438562886537 -1.514361862 -0.9902502958 -0.5397466343 +-105 -45 2.71101470977454 -1.383468227 -1.183468227 -0.5046737903 + +-100 45 1.55492641937871 -0.5910511965 1.791051197 -0.1923817633 +-100 40 1.62405769550730 -0.7329040033 1.734529294 -0.2173942404 +-100 35 1.69668217624687 -0.8755658619 1.663181586 -0.2425493752 +-100 30 1.77227829185633 -1.017250039 1.575984719 -0.2675321184 +-100 25 1.85022771255472 -1.155865236 1.472142640 -0.2919737175 +-100 20 1.92982713239246 -1.289052081 1.351161705 -0.3154581518 +-100 15 2.01029638821901 -1.414231206 1.212916706 -0.3375306089 +-100 10 2.09079764123386 -1.528674869 1.057710115 -0.3577101145 +-100 5 2.17044803937378 -1.629584228 0.8863144780 -0.3755031572 +-100 -2.84217e-14 2.24833602152288 -1.714178745 0.7000000000 -0.3904194529 +-100 -5 2.32354724805418 -1.779800983 0.5005432589 -0.4019904239 +-100 -10 2.39517135580952 -1.824004887 0.2902152351 -0.4097847649 +-100 -15 2.46231945731964 -1.844653640 0.07175195065 -0.4134256971 +-100 -20 2.52413674926563 -1.840008609 -0.1516934818 -0.4126066529 +-100 -25 2.57981258570294 -1.808808774 -0.3766152123 -0.4071052801 +-100 -30 2.62859452008721 -1.750343616 -0.5992364922 -0.3967962953 +-100 -35 2.66980185607581 -1.664511623 -0.8156073551 -0.3816617992 +-100 -40 2.70283777815029 -1.551860304 -1.021715224 -0.3617983323 +-100 -45 2.72719616620034 -1.413602215 -1.213602215 -0.3374197008 + +-95 45 1.55509177088485 -0.5975177688 1.797517769 -0.09602036279 +-95 40 1.62479220879495 -0.7418770932 1.742058611 -0.1086501671 +-95 35 1.69819918070742 -0.8875246684 1.671555232 -0.1213926789 +-95 30 1.77479110584775 -1.032621320 1.584859332 -0.1340869910 +-95 25 1.85393404346928 -1.174977678 1.481054919 -0.1465415585 +-95 20 1.93489050753343 -1.312088793 1.359546382 -0.1585372267 +-95 15 2.01682928899235 -1.441188304 1.220139838 -0.1698319704 +-95 10 2.09884481520084 -1.559329104 1.063115283 -0.1801679511 +-95 5 2.17997518262997 -1.663478240 0.8892798198 -0.1892798198 +-95 -2.84217e-14 2.25923051357475 -1.750633459 0.7000000000 -0.1969049134 +-95 -5 2.33561525576312 -1.817940509 0.4972064828 -0.2027935172 +-95 -10 2.40814634085143 -1.862807298 0.2833733232 -0.2067188527 +-95 -15 2.47587758445188 -1.883020038 0.06147170527 -0.2084872383 +-95 -20 2.53791443569601 -1.876840596 -0.1650992284 -0.2079466071 +-95 -25 2.59342795573383 -1.843089794 -0.3926007148 -0.2049937946 +-95 -30 2.64167164090201 -1.781216231 -0.6170608052 -0.1995805593 +-95 -35 2.68199413018275 -1.691340721 -0.8343932913 -0.1917174710 +-95 -40 2.71385090028647 -1.574277098 -1.040525148 -0.1814757311 +-95 -45 2.73680465154831 -1.431520564 -1.231520564 -0.1689861527 + +-90 45 1.55514700779897 -0.5996549950 1.799654995 -3.536760208e-16 +-90 40 1.62503670063934 -0.7448503344 1.744553456 -4.003744036e-16 +-90 35 1.69870495259630 -0.8914976346 1.674337133 -4.475397726e-16 +-90 30 1.77563066595872 -1.037741264 1.587815333 -4.945753113e-16 +-90 25 1.85517499826593 -1.181359547 1.484030833 -5.407664740e-16 +-90 20 1.93658889460232 -1.319798294 1.362352411 -5.852917708e-16 +-90 15 2.01902334609581 -1.450226794 1.222561694 -6.272407758e-16 +-90 10 2.10155027193739 -1.569623001 1.064930375 -6.656415249e-16 +-90 5 2.18318011619528 -1.674872457 0.8902766846 -6.994923316e-16 +-90 -2.84217e-14 2.26289614663283 -1.762896147 0.7000000000 -7.278029095e-16 +-90 -5 2.33967451466911 -1.830771347 0.4960839299 -7.496332388e-16 +-90 -10 2.41250753712764 -1.875856127 0.2810724626 -7.641336100e-16 +-90 -15 2.48042983261855 -1.895911236 0.05801751928 -7.705838249e-16 +-90 -20 2.54253366573671 -1.889200124 -0.1695977288 -7.684253667e-16 +-90 -25 2.59798455861795 -1.854573636 -0.3979557182 -7.572886389e-16 +-90 -30 2.64603895858011 -1.791536958 -0.6230194793 -7.370144968e-16 +-90 -35 2.68605655847854 -1.700288721 -0.8406587486 -7.076668256e-16 +-90 -40 2.71751150384461 -1.581734587 -1.046782724 -6.695369079e-16 +-90 -45 2.73999033169062 -1.437465744 -1.237465744 -6.231365092e-16 + +-85 45 1.55509177088485 -0.5975177688 1.797517769 0.09602036279 +-85 40 1.62479220879495 -0.7418770932 1.742058611 0.1086501671 +-85 35 1.69819918070742 -0.8875246684 1.671555232 0.1213926789 +-85 30 1.77479110584775 -1.032621320 1.584859332 0.1340869910 +-85 25 1.85393404346928 -1.174977678 1.481054919 0.1465415585 +-85 20 1.93489050753343 -1.312088793 1.359546382 0.1585372267 +-85 15 2.01682928899235 -1.441188304 1.220139838 0.1698319704 +-85 10 2.09884481520084 -1.559329104 1.063115283 0.1801679511 +-85 5 2.17997518262998 -1.663478240 0.8892798198 0.1892798198 +-85 -2.84217e-14 2.25923051357475 -1.750633459 0.7000000000 0.1969049134 +-85 -5 2.33561525576312 -1.817940509 0.4972064828 0.2027935172 +-85 -10 2.40814634085143 -1.862807298 0.2833733232 0.2067188527 +-85 -15 2.47587758445188 -1.883020038 0.06147170527 0.2084872383 +-85 -20 2.53791443569601 -1.876840596 -0.1650992284 0.2079466071 +-85 -25 2.59342795573383 -1.843089794 -0.3926007148 0.2049937946 +-85 -30 2.64167164090201 -1.781216231 -0.6170608052 0.1995805593 +-85 -35 2.68199413018275 -1.691340721 -0.8343932913 0.1917174710 +-85 -40 2.71385090028647 -1.574277098 -1.040525148 0.1814757311 +-85 -45 2.73680465154831 -1.431520564 -1.231520564 0.1689861527 + +-80 45 1.55492641937871 -0.5910511965 1.791051197 0.1923817633 +-80 40 1.62405769550730 -0.7329040033 1.734529294 0.2173942404 +-80 35 1.69668217624687 -0.8755658619 1.663181586 0.2425493752 +-80 30 1.77227829185633 -1.017250039 1.575984719 0.2675321184 +-80 25 1.85022771255472 -1.155865236 1.472142640 0.2919737175 +-80 20 1.92982713239246 -1.289052081 1.351161705 0.3154581518 +-80 15 2.01029638821902 -1.414231206 1.212916706 0.3375306089 +-80 10 2.09079764123386 -1.528674869 1.057710115 0.3577101145 +-80 5 2.17044803937378 -1.629584228 0.8863144780 0.3755031572 +-80 -2.84217e-14 2.24833602152288 -1.714178745 0.7000000000 0.3904194529 +-80 -5 2.32354724805418 -1.779800983 0.5005432589 0.4019904239 +-80 -10 2.39517135580952 -1.824004887 0.2902152351 0.4097847649 +-80 -15 2.46231945731964 -1.844653640 0.07175195065 0.4134256971 +-80 -20 2.52413674926563 -1.840008609 -0.1516934818 0.4126066529 +-80 -25 2.57981258570294 -1.808808774 -0.3766152123 0.4071052801 +-80 -30 2.62859452008721 -1.750343616 -0.5992364922 0.3967962953 +-80 -35 2.66980185607581 -1.664511623 -0.8156073551 0.3816617992 +-80 -40 2.70283777815029 -1.551860304 -1.021715224 0.3617983323 +-80 -45 2.72719616620034 -1.413602215 -1.213602215 0.3374197008 + +-75 45 1.55465888722115 -0.5800939615 1.780093961 0.2894103047 +-75 40 1.62283770426213 -0.7177767401 1.721836013 0.3263022941 +-75 35 1.69416256269901 -0.8555090472 1.649137653 0.3632075545 +-75 30 1.76811609525303 -0.9916004597 1.561175927 0.3996731386 +-75 25 1.84410894449972 -1.124126138 1.457342456 0.4351832870 +-75 20 1.92149418737497 -1.250962894 1.337298375 0.4691690934 +-75 15 1.99957292632278 -1.369826891 1.201018605 0.5010186054 +-75 10 2.07761684994074 -1.478334653 1.048833776 0.5300931727 +-75 5 2.15486187082460 -1.574043987 0.8814553365 0.5557384115 +-75 -2.84217e-14 2.23052049592981 -1.654517353 0.7000000000 0.5773011848 +-75 -5 2.30380284716851 -1.717398947 0.5060027296 0.5941502571 +-75 -10 2.37391379130831 -1.760472578 0.3014176953 0.6056918018 +-75 -15 2.44005848093980 -1.781730715 0.08861209756 0.6113879024 +-75 -20 2.50144961650121 -1.779447676 -0.1296511045 0.6107761639 +-75 -25 2.55731238628798 -1.752251908 -0.3502423127 0.6034890798 +-75 -30 2.60689384556711 -1.699201777 -0.5697097379 0.5892743401 +-75 -35 2.64947500199817 -1.619859932 -0.7843419045 0.5680147569 +-75 -40 2.68438562886537 -1.514361862 -0.9902502958 0.5397466343 +-75 -45 2.71101470977454 -1.383468227 -1.183468227 0.5046737903 + +-70 45 1.55430191103686 -0.5643720824 1.764372082 0.3873997562 +-70 40 1.62114189177766 -0.6962395850 1.703764195 0.4353956020 +-70 35 1.69065888369638 -0.8271749759 1.629297923 0.4830521869 +-70 30 1.76234833022529 -0.9556375734 1.540412745 0.5298087486 +-70 25 1.83566718693511 -1.079939239 1.436737767 0.5750508549 +-70 20 1.91004763638523 -1.198273952 1.318121168 0.6181211682 +-70 15 1.98490172577672 -1.308743057 1.184651241 0.6583286340 +-70 10 2.05963560679304 -1.409391420 1.036677224 0.6949616425 +-70 5 2.13363512849232 -1.498219687 0.8748215699 0.7272924876 +-70 -2.84217e-14 2.20627348896567 -1.573218917 0.7000000000 0.7545899749 +-70 -5 2.27691465237878 -1.632405688 0.5134386763 0.7761321978 +-70 -10 2.34490997490419 -1.673855886 0.3166905551 0.7912188361 +-70 -15 2.40959060019432 -1.695741084 0.1116529497 0.7991843968 +-70 -20 2.47026621394284 -1.696379130 -0.09941662646 0.7994166265 +-70 -25 2.52622300953386 -1.674293296 -0.3138896152 0.7913780405 +-70 -30 2.57672358981738 -1.628282820 -0.5287646589 0.7746315965 +-70 -35 2.62101891190844 -1.557511864 -0.7406853172 0.7488730752 +-70 -40 2.65836126793010 -1.461603112 -0.9459804478 0.7139651442 +-70 -45 2.68801502318323 -1.340728707 -1.140728707 0.6699704589 + +-65 45 1.55387728683649 -0.5434953126 1.743495313 0.4865898555 +-65 40 1.61898499881814 -0.6679362131 1.680014846 0.5446176004 +-65 35 1.68619916593566 -0.7903241636 1.603494706 0.6016880390 +-65 30 1.75503942980750 -0.9093287752 1.513676348 0.6571808007 +-65 25 1.82502908110113 -1.023565539 1.410450278 0.7104502784 +-65 20 1.89570438203704 -1.131612615 1.293858426 0.7608334574 +-65 15 1.96660690839658 -1.232011382 1.164091051 0.8076501716 +-65 10 2.03729206161116 -1.323278874 1.021493259 0.8502089019 +-65 5 2.10731928048645 -1.403904170 0.8665700313 0.8878050948 +-65 -2.84217e-14 2.17623437716579 -1.472338162 0.7000000000 0.9197163896 +-65 -5 2.24357873213227 -1.527010782 0.5226595357 0.9452106510 +-65 -10 2.30886810473381 -1.566326433 0.3356508990 0.9635438398 +-65 -15 2.37158286590973 -1.588677966 0.1403404257 0.9739665311 +-65 -20 2.43115601996692 -1.592470149 -0.06159685029 0.9757348549 +-65 -25 2.48696368574157 -1.576159885 -0.2681292540 0.9681292540 +-65 -30 2.53831796835968 -1.538315774 -0.4768221607 0.9504822550 +-65 -35 2.58446715729389 -1.477702569 -0.6848022474 0.9222178537 +-65 -40 2.62460157121352 -1.393388279 -0.8887414063 0.8829014542 +-65 -45 2.65786606745866 -1.284871178 -1.084871178 0.8322990990 + +-60 45 1.55341934694113 -0.5169516776 1.716951678 0.5871373248 +-60 40 1.61639539173671 -0.6324190292 1.650212390 0.6538024313 +-60 35 1.68082554364379 -0.7446722247 1.571528874 0.7186118440 +-60 30 1.74627717758318 -0.8526604853 1.480958895 0.7809588953 +-60 25 1.81236158053200 -0.9553595111 1.378645285 0.8402522055 +-60 20 1.87873407707370 -1.051768096 1.264797397 0.8959137280 +-60 15 1.94507927000569 -1.140888368 1.139674713 0.9473673408 +-60 10 2.01111196769873 -1.221715899 1.003584966 0.9940331377 +-60 5 2.07656222273214 -1.293215847 0.8568860578 1.035313652 +-60 -2.84217e-14 2.14115740125573 -1.354296703 0.7000000000 1.070578701 +-60 -5 2.20461598231145 -1.403796704 0.5334393708 1.099157539 +-60 -10 2.26662661496598 -1.440462362 0.3578441305 1.120326467 +-60 -15 2.32683322813165 -1.462939833 0.1740318570 1.133303841 +-60 -20 2.38481562790618 -1.469773611 -0.01693896253 1.137249324 +-60 -25 2.44007228462770 -1.459422692 -0.2136938069 1.131273219 +-60 -30 2.49200401169660 -1.430298007 -0.4144580741 1.114458074 +-60 -35 2.53990029104239 -1.380827762 -0.6169697771 1.085896415 +-60 -40 2.58293535848199 -1.309560437 -0.8184014951 1.044750205 +-60 -45 2.62016568701467 -1.215301085 -1.015301085 0.9903295431 + +-55 45 1.55297881570226 -0.4841029127 1.684102913 0.6890762778 +-55 40 1.61341789912436 -0.5891584682 1.613912469 0.7626369697 +-55 35 1.67460265037511 -0.6899136563 1.533186512 0.8331865119 +-55 30 1.73617929487575 -0.7856623661 1.442277513 0.9002304803 +-55 25 1.79786825819555 -0.8757763041 1.341535027 0.9633289390 +-55 20 1.85945175706874 -0.9596781555 1.231279400 1.022077648 +-55 15 1.92076507786200 -1.036815001 1.111788338 1.076089449 +-55 10 1.98167656802714 -1.106621838 0.9832907778 1.124968722 +-55 5 2.04207851229382 -1.168493509 0.8459742672 1.168291733 +-55 -2.84217e-14 2.10186610242333 -1.221747915 0.7000000000 1.205580869 +-55 -5 2.16092514393023 -1.265597922 0.5455301975 1.236284974 +-55 -10 2.21911417578166 -1.299121690 0.3827663045 1.259758569 +-55 -15 2.27624329274331 -1.321235131 0.2120015174 1.275242568 +-55 -20 2.33205371533885 -1.330672860 0.03368957037 1.281850936 +-55 -25 2.38619617483264 -1.325980374 -0.1514686320 1.278565222 +-55 -30 2.43820470423047 -1.305520915 -0.3424179863 1.264239355 +-55 -35 2.48746912333652 -1.267507939 -0.5376223828 1.237622383 +-55 -40 2.53321215260074 -1.210077389 -0.7349253061 1.197409078 +-55 -45 2.57447042868203 -1.131409149 -0.9314091485 1.142324984 + +-50 45 1.55263271387922 -0.4441876308 1.644187631 0.7922674927 +-50 40 1.61011913887790 -0.5375615420 1.570617507 0.8706175072 +-50 35 1.66762425647872 -0.6257511657 1.488259452 0.9446173879 +-50 30 1.72489872090872 -0.7084346101 1.397690047 1.013997036 +-50 25 1.78178919645612 -0.7853832051 1.299384032 1.078564573 +-50 20 1.83821357040732 -0.8564166405 1.193695282 1.138168703 +-50 15 1.89414741434082 -0.9213674340 1.080854256 1.192668890 +-50 10 1.94960060804347 -0.9800400264 0.9609709892 1.241901040 +-50 5 2.00460994491373 -1.032183105 0.8340486521 1.285654278 +-50 -2.84217e-14 2.05921287748699 -1.077448582 0.7000000000 1.323636523 +-50 -5 2.11344276549382 -1.115367272 0.5586736763 1.355454082 +-50 -10 2.16731120887965 -1.145315110 0.4098865543 1.380583302 +-50 -15 2.22078638097166 -1.166477179 0.2534687857 1.398340386 +-50 -20 2.27377616289758 -1.177818004 0.08932418793 1.407856469 +-50 -25 2.32610436212162 -1.178052312 -0.08248864378 1.408053076 +-50 -30 2.37747735479495 -1.165620065 -0.2616461931 1.397621183 +-50 -35 2.42744646897030 -1.138678906 -0.4474153226 1.375014866 +-50 -40 2.47536611245343 -1.095127105 -0.6384705655 1.338470566 +-50 -45 2.52034818793482 -1.032675154 -0.8326751543 1.286067157 + +-45 45 1.55248985160445 -0.3963304337 1.596330434 0.8963304337 +-45 40 1.60660117207724 -0.4770069513 1.519806172 0.9770069513 +-45 35 1.66001804746643 -0.5519323117 1.436570934 1.051932312 +-45 30 1.71262426662127 -0.6211757627 1.347311128 1.121175763 +-45 25 1.76440207903668 -0.6848717493 1.252514771 1.184871749 +-45 20 1.81540288031360 -0.7431716968 1.152477494 1.243171697 +-45 15 1.86572804063837 -0.7962081952 1.047317939 1.296208195 +-45 10 1.91550861570575 -0.8440622920 0.9369944458 1.344062292 +-45 5 1.96489585407488 -0.8867400974 0.8213240378 1.386740097 +-45 -2.84217e-14 2.01404283244060 -0.9241433444 0.7000000000 1.424143344 +-45 -5 2.06310173018994 -0.9560496365 0.5726121633 1.456049637 +-45 -10 2.11221012486632 -0.9820825959 0.4386688507 1.482082596 +-45 -15 2.16147562711515 -1.001677823 0.2976266401 1.501677823 +-45 -20 2.21096539178387 -1.014049376 0.1489310940 1.514049376 +-45 -25 2.26067984557981 -1.018143577 -0.007921976075 1.518143577 +-45 -30 2.31052188251308 -1.012591632 -0.1732951857 1.512591632 +-45 -35 2.36025681831865 -0.9956647097 -0.3472757043 1.495664710 +-45 -40 2.40945721075039 -0.9652400886 -0.5294824179 1.465240089 +-45 -45 2.45743073895602 -0.9187982987 -0.7187982987 1.418798299 + + +### -y patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = 90 + dsigma = 90 + dphi +# dpy = drho = dmu +# +# dpx dpy gridfn global_x global_y global_z +-45 -135 2.45743088816945 -0.9187983848 -0.7187983848 -1.418798385 +-40 -135 2.43507527196242 -0.7425546384 -0.7808189543 -1.480818954 +-35 -135 2.40938546012794 -0.5690747020 -0.8267969048 -1.526796905 +-30 -135 2.38116555903244 -0.3999959857 -0.8588387738 -1.558838774 +-25 -135 2.35098732177162 -0.2362013661 -0.8787889244 -1.578788924 +-20 -135 2.31923678673032 -0.07805485492 -0.8881926611 -1.588192661 +-15 -135 2.28615439136406 0.07441684187 -0.8882979690 -1.588297969 +-10 -135 2.25186890584300 0.2213897035 -0.8800775095 -1.580077509 +-5 -135 2.21642293547038 0.3631452250 -0.8642572358 -1.564257236 +-2.84217e-14 -135 2.17979214649474 0.5000000000 -0.8413458084 -1.541345808 +5 -135 2.14190041691194 0.6322533235 -0.8116624052 -1.511662405 +10 -135 2.10263059094140 0.7601459307 -0.7753608875 -1.475360887 +15 -135 2.06183210120992 0.8838240411 -0.7324508227 -1.432450823 +20 -135 2.01933142324824 1.003305372 -0.6828201437 -1.382820144 +25 -135 1.97493999533611 1.118443796 -0.6262569994 -1.326256999 +30 -135 1.92846728531652 1.228892121 -0.5624781872 -1.262478187 +35 -135 1.87973817727030 1.334063526 -0.4911661618 -1.191166162 +40 -135 1.82861589884109 1.433094428 -0.4120186363 -1.112018636 +45 -135 1.77503286571092 1.524815703 -0.3248157028 -1.024815703 + +-45 -130 2.52034772522603 -1.032674873 -0.8326748729 -1.286066921 +-40 -130 2.50313676198222 -0.8534866057 -0.9130225248 -1.353486606 +-35 -130 2.48106390006588 -0.6727594292 -0.9748740412 -1.405386190 +-30 -130 2.45501142792252 -0.4930073104 -1.019939114 -1.443200276 +-25 -130 2.42566883810140 -0.3159815829 -1.049878152 -1.468322112 +-20 -130 2.39355734204422 -0.1428458515 -1.066204461 -1.482021512 +-15 -130 2.35905449200674 0.02566735997 -1.070233512 -1.485402287 +-10 -130 2.32241842238664 0.1891241055 -1.063064809 -1.479387031 +-5 -130 2.28380952077812 0.3472812186 -1.045583659 -1.464718604 +-2.84217e-14 -130 2.24331116759626 0.5000000000 -1.018476054 -1.441972623 +5 -130 2.20094660083457 0.6471777220 -0.9822490606 -1.411574566 +10 -130 2.15669321697831 0.7886921351 -0.9372544575 -1.373819611 +15 -130 2.11049370667263 0.9243547807 -0.8837136021 -1.328893499 +20 -130 2.06226889522350 1.053870584 -0.8217469241 -1.276897283 +25 -130 2.01193789860197 1.176804783 -0.7514125406 -1.217879728 +30 -130 1.95943486301654 1.292555636 -0.6727466291 -1.151871190 +35 -130 1.90472391990887 1.400332691 -0.5858083377 -1.078921302 +40 -130 1.84783246880908 1.499152956 -0.4907441254 -0.9991529564 +45 -130 1.78888015191571 1.587854518 -0.3878545178 -0.9128183247 + +-45 -125 2.57447070794087 -1.131409325 -0.9314093255 -1.142325108 +-40 -125 2.56287780566303 -0.9517292663 -1.030103569 -1.211431561 +-35 -125 2.54509981881086 -0.7662961211 -1.108458281 -1.266296121 +-30 -125 2.52198808871630 -0.5782383203 -1.167563554 -1.307682078 +-25 -125 2.49426450446994 -0.3900307560 -1.208677116 -1.336470104 +-20 -125 2.46252093224793 -0.2035873014 -1.233090223 -1.353564346 +-15 -125 2.42723029398139 -0.02036823310 -1.242040685 -1.359831527 +-10 -125 2.38875902651526 0.1585147074 -1.236659332 -1.356063463 +-5 -125 2.34738211462338 0.3322016602 -1.217943800 -1.342958707 +-2.84217e-14 -125 2.30329834802018 0.5000000000 -1.186751550 -1.321117658 +5 -125 2.25664701515209 0.6613123063 -1.143808098 -1.291048329 +10 -125 2.20752279022772 0.8155766478 -1.089724105 -1.253178310 +15 -125 2.15599035937212 0.9622177371 -1.025020079 -1.207872063 +20 -125 2.10210458312489 1.100609754 -0.9501617366 -1.155455687 +25 -125 2.04592594728460 1.230049686 -0.8655966033 -1.096242543 +30 -125 1.98753743712940 1.349741931 -0.7717961974 -1.030562792 +35 -125 1.92707771910492 1.458803668 -0.6693135468 -0.9588036676 +40 -125 1.86474903083253 1.556277727 -0.5588227756 -0.8814371967 +45 -125 1.80085648968646 1.641179840 -0.4411798402 -0.7990627266 + +-45 -120 2.62016551609537 -1.215300973 -1.015300973 -0.9903294785 +-40 -120 2.61422636127753 -1.036796189 -1.131482379 -1.057406845 +-35 -120 2.60103871446101 -0.8486708074 -1.226101525 -1.112035234 +-30 -120 2.58132755062764 -0.6544047751 -1.299487723 -1.154404775 +-25 -120 2.55577054603765 -0.4570174353 -1.352330513 -1.184913574 +-20 -120 2.52496620572422 -0.2590719512 -1.385533046 -1.204083065 +-15 -120 2.48943376593119 -0.06272312054 -1.400111276 -1.212499811 +-10 -120 2.44961656867626 0.1302211041 -1.397120329 -1.210772987 +-5 -120 2.40588860107299 0.3182330517 -1.377605726 -1.199506225 +-2.84217e-14 -120 2.35856364284364 0.5000000000 -1.342576031 -1.179281821 +5 -120 2.30790582646264 0.6743642656 -1.292992676 -1.150654858 +10 -120 2.25414554602076 0.8402718049 -1.229777301 -1.114157444 +15 -120 2.19749599484021 0.9967321567 -1.153829647 -1.070309046 +20 -120 2.13817196642196 1.142791322 -1.066054644 -1.019632124 +25 -120 2.07640161404945 1.277516022 -0.9673884893 -0.9626671931 +30 -120 2.01244822160574 1.399994205 -0.8588356895 -0.8999942049 +35 -120 1.94662551676116 1.509349454 -0.7415004114 -0.8322506506 +40 -120 1.87932393407121 1.604777269 -0.6166222793 -0.7601522274 +45 -120 1.81100891917801 1.685583637 -0.4855836366 -0.6844970318 + +-45 -115 2.65786620549280 -1.284871270 -1.084871270 -0.8322991422 +-40 -115 2.65725924325111 -1.108509967 -1.216947532 -0.8938873145 +-35 -115 2.64858887358020 -0.9191597731 -1.326770201 -0.9450984662 +-30 -115 2.63241572373409 -0.7204480283 -1.413877993 -0.9857174966 +-25 -115 2.60930785011513 -0.5157555886 -1.478294889 -1.015755589 +-20 -115 2.57981729247632 -0.3081672703 -1.520421326 -1.035399469 +-15 -115 2.54446419501529 -0.1004570908 -1.540936371 -1.044965791 +-10 -115 2.50373286816500 0.1049004194 -1.540721068 -1.044865394 +-5 -115 2.45807412419089 0.3057050549 -1.520801384 -1.035576693 +-2.84217e-14 -115 2.40790676413653 0.5000000000 -1.482304651 -1.017625371 +5 -115 2.35362218635329 0.6860386914 -1.426431973 -0.9915715135 +10 -115 2.29559914268628 0.8622552030 -1.354451347 -0.9580063963 +15 -115 2.23421234440255 1.027242100 -1.267694304 -0.9175509227 +20 -115 2.16985036191497 1.179738852 -1.167567146 -0.8708608623 +25 -115 2.10293051201132 1.318632198 -1.055562414 -0.8186321978 +30 -115 2.03390116840312 1.442963016 -0.9332598538 -0.7616015776 +35 -115 1.96325826001764 1.551947765 -0.8023371043 -0.7005512969 +40 -115 1.89155880844621 1.645011050 -0.6645710326 -0.6363099226 +45 -115 1.81941165062053 1.721813038 -0.5218130384 -0.5697407767 + +-45 -110 2.68801516746822 -1.340728806 -1.140728806 -0.6699704948 +-40 -110 2.69212039502130 -1.166883123 -1.286513951 -0.7230319480 +-35 -110 2.68758408825983 -0.9772739399 -1.409765833 -0.7678919644 +-30 -110 2.67477537581280 -0.7755227085 -1.509270137 -0.8041085694 +-25 -110 2.65412705809980 -0.5652233993 -1.584378952 -0.8314459422 +-20 -110 2.62610819956484 -0.3498495206 -1.634942368 -0.8498495206 +-15 -110 2.59120477522246 -0.1326915809 -1.661237126 -0.8594200297 +-10 -110 2.54991033463779 0.08318028183 -1.663902090 -0.8603899974 +-5 -110 2.50272784999436 0.2949364417 -1.643887197 -0.8531051723 +-2.84217e-14 -110 2.45016698820695 0.5000000000 -1.602403839 -0.8380064645 +5 -110 2.39274024541824 0.6960516118 -1.540880177 -0.8156136830 +10 -110 2.33096957773270 0.8810306854 -1.460932399 -0.7865150714 +15 -110 2.26539520737270 1.053139022 -1.364342934 -0.7513593812 +20 -110 2.19658564136945 1.210849330 -1.253042483 -0.7108493300 +25 -110 2.12514094151877 1.352916913 -1.129086223 -0.6657329411 +30 -110 2.05169365519148 1.478393129 -0.9946266084 -0.6167936437 +35 -110 1.97690856288437 1.586639676 -0.8518822866 -0.5648389594 +40 -110 1.90148298411382 1.677343295 -0.7031031012 -0.5106877644 +45 -110 1.82614715738406 1.750529282 -0.5505292819 -0.4551554357 + +-45 -105 2.71101478876086 -1.383468282 -1.183468282 -0.5046738050 +-40 -105 2.71899053321224 -1.212039620 -1.340329368 -0.5467046065 +-35 -105 2.71793785765603 -1.022697536 -1.474637450 -0.5826923486 +-30 -105 2.70804950233849 -0.8189784577 -1.584537703 -0.6121400326 +-25 -105 2.68961969678581 -0.6045785512 -1.668776347 -0.6347117093 +-20 -105 2.66301344872837 -0.3832366779 -1.726672828 -0.6502250247 +-15 -105 2.62866872288592 -0.1586466141 -1.758102628 -0.6586466141 +-10 -105 2.58707055475211 0.06562847909 -1.763443310 -0.6600776454 +-5 -105 2.53874968089956 0.2862184653 -1.743534123 -0.6547429948 +-2.84217e-14 -105 2.48428568956388 0.5000000000 -1.699635707 -0.6429804499 +5 -105 2.42429468756163 0.7041435761 -1.633371753 -0.6252250768 +10 -105 2.35943164442038 0.8961507389 -1.546682483 -0.6019967571 +15 -105 2.29038843599058 1.073886156 -1.441772291 -0.5738861558 +20 -105 2.21789960161865 1.235606603 -1.321062531 -0.5415420729 +25 -105 2.14272934413336 1.379980496 -1.187124263 -0.5056534224 +30 -105 2.06567323708932 1.506103654 -1.042622647 -0.4669343310 +35 -105 1.98753905652932 1.613498903 -0.8902412390 -0.4261038558 +40 -105 1.90914021655701 1.702109258 -0.7326180266 -0.3838688433 +45 -105 1.83129405902503 1.772285304 -0.5722853039 -0.3409078197 + +-45 -100 2.72719621208562 -1.413602247 -1.213602247 -0.3374197065 +-40 -100 2.73804303647597 -1.244141072 -1.378586389 -0.3665108621 +-35 -100 2.73961837581282 -1.055241169 -1.521114576 -0.3916424270 +-30 -100 2.73198266927216 -0.8503381952 -1.638854361 -0.4124031279 +-25 -100 2.71530594935182 -0.6331597138 -1.730068848 -0.4284867029 +-20 -100 2.68986558448819 -0.4076136567 -1.793648027 -0.4396974276 +-15 -100 2.65604418074479 -0.1776759086 -1.829120922 -0.4459522560 +-10 -100 2.61430879008176 0.05272347825 -1.836631206 -0.4472765218 +-5 -100 2.56520346321378 0.2797991311 -1.816907449 -0.4437986912 +-2.84217e-14 -100 2.50935714228257 0.5000000000 -1.771234369 -0.4357452949 +5 -100 2.44746647801800 0.7100941515 -1.701387141 -0.4234293440 +10 -100 2.38029137611192 0.9072389809 -1.609567029 -0.4072389809 +15 -100 2.30865005522302 1.089040098 -1.498327573 -0.3876244635 +20 -100 2.23340675458956 1.253595452 -1.370486488 -0.3650826311 +25 -100 2.15545996999918 1.399523092 -1.229033495 -0.3401406519 +30 -100 2.07573001883442 1.525971928 -1.077035507 -0.3133393056 +35 -100 1.99513420435644 1.632608425 -0.9175324642 -0.2852146156 +40 -100 1.91457319451115 1.719588480 -0.7534489524 -0.2562822654 +45 -100 1.83492032772925 1.787515598 -0.5875155982 -0.2270237381 + +-45 -95 2.73680467707627 -1.431520582 -1.231520582 -0.1689861543 +-40 -95 2.74941553820483 -1.263334487 -1.401460210 -0.1838539452 +-35 -95 2.75262321961641 -1.074800837 -1.549048677 -0.1967662629 +-30 -95 2.74640422770896 -0.8692774331 -1.671658084 -0.2074931961 +-25 -95 2.73084812436191 -0.6504952764 -1.767245082 -0.2158559748 +-20 -95 2.70617287649000 -0.4224535053 -1.834420176 -0.2217330340 +-15 -95 2.67272082398273 -0.1892941237 -1.872480691 -0.2250628976 +-10 -95 2.63093834099589 0.04482870107 -1.881404712 -0.2258436483 +-5 -95 2.58137369494137 0.2758681146 -1.861839173 -0.2241318854 +-2.84217e-14 -95 2.52468777330299 0.5000000000 -1.815080574 -0.2200410381 +5 -95 2.46162906071008 0.7137348667 -1.743000705 -0.2137348667 +10 -95 2.39302451431836 0.9140104918 -1.647970175 -0.2054207727 +15 -95 2.31977347190261 1.098269078 -1.532770595 -0.1953421153 +20 -95 2.24282514247508 1.264512102 -1.400479737 -0.1837681650 +25 -95 2.16316502498174 1.411332681 -1.254359242 -0.1709842781 +30 -95 2.08179108266414 1.537920610 -1.097731230 -0.1572811027 +35 -95 1.99969024417754 1.644041018 -0.9338598997 -0.1429442190 +40 -95 1.91781658506413 1.729989457 -0.7658443541 -0.1282447635 +45 -95 1.83707487405915 1.796529475 -0.5965294748 -0.1134316310 + +-45 -90 2.73999034834620 -1.437465756 -1.237465756 -6.231365129e-16 +-40 -90 2.75319580862294 -1.269720153 -1.409070350 -6.783287599e-16 +-35 -90 2.75695658816309 -1.081325335 -1.558366625 -7.263461043e-16 +-30 -90 2.75122044484330 -0.8756102224 -1.682626797 -7.663112235e-16 +-25 -90 2.73604941211835 -0.6563044466 -1.779702888 -7.975332757e-16 +-20 -90 2.71164042170478 -0.4274356457 -1.848108495 -8.195341968e-16 +-15 -90 2.67832078455403 -0.1932004279 -1.887059217 -8.320617045e-16 +-10 -90 2.63652849121958 0.04217163213 -1.896473699 -8.350896330e-16 +-5 -90 2.58681308987570 0.2745443838 -1.876969485 -8.288165993e-16 +-2.84217e-14 -90 2.52984562173154 0.5000000000 -1.829845622 -8.136604089e-16 +5 -90 2.46639277124572 0.7149602939 -1.757007402 -7.902338508e-16 +10 -90 2.39730497350297 0.9162876400 -1.660884524 -7.593183753e-16 +15 -90 2.32350859370055 1.101368276 -1.544336958 -7.218338192e-16 +20 -90 2.24598312936611 1.268171472 -1.410533773 -6.787994327e-16 +25 -90 2.16574417882895 1.415283040 -1.262830814 -6.312945379e-16 +30 -90 2.08381570077198 1.541907850 -1.104637334 -5.804156341e-16 +35 -90 2.00120823109530 1.647845886 -0.9392938135 -5.272371022e-16 +40 -90 1.91889426503299 1.733441458 -0.7699582887 -4.727746436e-16 +45 -90 1.83778877058791 1.799512902 -0.5995129021 -4.179552263e-16 + +-45 -85 2.73680467707627 -1.431520582 -1.231520582 0.1689861543 +-40 -85 2.74941553820483 -1.263334487 -1.401460210 0.1838539452 +-35 -85 2.75262321961641 -1.074800837 -1.549048677 0.1967662629 +-30 -85 2.74640422770896 -0.8692774331 -1.671658084 0.2074931961 +-25 -85 2.73084812436191 -0.6504952764 -1.767245082 0.2158559748 +-20 -85 2.70617287649000 -0.4224535053 -1.834420176 0.2217330340 +-15 -85 2.67272082398273 -0.1892941237 -1.872480691 0.2250628976 +-10 -85 2.63093834099589 0.04482870107 -1.881404712 0.2258436483 +-5 -85 2.58137369494137 0.2758681146 -1.861839173 0.2241318854 +-2.84217e-14 -85 2.52468777330299 0.5000000000 -1.815080574 0.2200410381 +5 -85 2.46162906071008 0.7137348667 -1.743000705 0.2137348667 +10 -85 2.39302451431836 0.9140104918 -1.647970175 0.2054207727 +15 -85 2.31977347190261 1.098269078 -1.532770595 0.1953421153 +20 -85 2.24282514247508 1.264512102 -1.400479737 0.1837681650 +25 -85 2.16316502498174 1.411332681 -1.254359242 0.1709842781 +30 -85 2.08179108266414 1.537920610 -1.097731230 0.1572811027 +35 -85 1.99969024417754 1.644041018 -0.9338598997 0.1429442190 +40 -85 1.91781658506413 1.729989457 -0.7658443541 0.1282447635 +45 -85 1.83707487405915 1.796529475 -0.5965294748 0.1134316310 + +-45 -80 2.72719621208562 -1.413602247 -1.213602247 0.3374197065 +-40 -80 2.73804303647597 -1.244141072 -1.378586389 0.3665108621 +-35 -80 2.73961837581282 -1.055241169 -1.521114576 0.3916424270 +-30 -80 2.73198266927216 -0.8503381952 -1.638854361 0.4124031279 +-25 -80 2.71530594935182 -0.6331597138 -1.730068848 0.4284867029 +-20 -80 2.68986558448819 -0.4076136567 -1.793648027 0.4396974276 +-15 -80 2.65604418074479 -0.1776759086 -1.829120922 0.4459522560 +-10 -80 2.61430879008176 0.05272347825 -1.836631206 0.4472765218 +-5 -80 2.56520346321378 0.2797991311 -1.816907449 0.4437986912 +-2.84217e-14 -80 2.50935714228257 0.5000000000 -1.771234369 0.4357452949 +5 -80 2.44746647801800 0.7100941515 -1.701387141 0.4234293440 +10 -80 2.38029137611192 0.9072389809 -1.609567029 0.4072389809 +15 -80 2.30865005522302 1.089040098 -1.498327573 0.3876244635 +20 -80 2.23340675458956 1.253595452 -1.370486488 0.3650826311 +25 -80 2.15545996999918 1.399523092 -1.229033495 0.3401406519 +30 -80 2.07573001883443 1.525971928 -1.077035507 0.3133393056 +35 -80 1.99513420435644 1.632608425 -0.9175324642 0.2852146156 +40 -80 1.91457319451115 1.719588480 -0.7534489524 0.2562822654 +45 -80 1.83492032772926 1.787515598 -0.5875155982 0.2270237381 + +-45 -75 2.71101478876086 -1.383468282 -1.183468282 0.5046738050 +-40 -75 2.71899053321224 -1.212039620 -1.340329368 0.5467046065 +-35 -75 2.71793785765603 -1.022697536 -1.474637450 0.5826923486 +-30 -75 2.70804950233849 -0.8189784577 -1.584537703 0.6121400326 +-25 -75 2.68961969678581 -0.6045785512 -1.668776347 0.6347117093 +-20 -75 2.66301344872837 -0.3832366779 -1.726672828 0.6502250247 +-15 -75 2.62866872288592 -0.1586466141 -1.758102628 0.6586466141 +-10 -75 2.58707055475211 0.06562847909 -1.763443310 0.6600776454 +-5 -75 2.53874968089956 0.2862184653 -1.743534123 0.6547429948 +-2.84217e-14 -75 2.48428568956388 0.5000000000 -1.699635707 0.6429804499 +5 -75 2.42429468756163 0.7041435761 -1.633371753 0.6252250768 +10 -75 2.35943164442038 0.8961507389 -1.546682483 0.6019967571 +15 -75 2.29038843599058 1.073886156 -1.441772291 0.5738861558 +20 -75 2.21789960161865 1.235606603 -1.321062531 0.5415420729 +25 -75 2.14272934413336 1.379980496 -1.187124263 0.5056534224 +30 -75 2.06567323708932 1.506103654 -1.042622647 0.4669343310 +35 -75 1.98753905652932 1.613498903 -0.8902412390 0.4261038558 +40 -75 1.90914021655701 1.702109258 -0.7326180266 0.3838688433 +45 -75 1.83129405902503 1.772285304 -0.5722853039 0.3409078197 + +-45 -70 2.68801516746822 -1.340728806 -1.140728806 0.6699704948 +-40 -70 2.69212039502130 -1.166883123 -1.286513951 0.7230319480 +-35 -70 2.68758408825983 -0.9772739399 -1.409765833 0.7678919644 +-30 -70 2.67477537581280 -0.7755227085 -1.509270137 0.8041085694 +-25 -70 2.65412705809980 -0.5652233993 -1.584378952 0.8314459422 +-20 -70 2.62610819956484 -0.3498495206 -1.634942368 0.8498495206 +-15 -70 2.59120477522246 -0.1326915809 -1.661237126 0.8594200297 +-10 -70 2.54991033463779 0.08318028183 -1.663902090 0.8603899974 +-5 -70 2.50272784999436 0.2949364417 -1.643887197 0.8531051723 +-2.84217e-14 -70 2.45016698820695 0.5000000000 -1.602403839 0.8380064645 +5 -70 2.39274024541824 0.6960516118 -1.540880177 0.8156136830 +10 -70 2.33096957773269 0.8810306854 -1.460932399 0.7865150714 +15 -70 2.26539520737270 1.053139022 -1.364342934 0.7513593812 +20 -70 2.19658564136945 1.210849330 -1.253042483 0.7108493300 +25 -70 2.12514094151877 1.352916913 -1.129086223 0.6657329411 +30 -70 2.05169365519148 1.478393129 -0.9946266084 0.6167936437 +35 -70 1.97690856288437 1.586639676 -0.8518822866 0.5648389594 +40 -70 1.90148298411383 1.677343295 -0.7031031012 0.5106877644 +45 -70 1.82614715738406 1.750529282 -0.5505292819 0.4551554357 + +-45 -65 2.65786620549280 -1.284871270 -1.084871270 0.8322991422 +-40 -65 2.65725924325111 -1.108509967 -1.216947532 0.8938873145 +-35 -65 2.64858887358020 -0.9191597731 -1.326770201 0.9450984662 +-30 -65 2.63241572373409 -0.7204480283 -1.413877993 0.9857174966 +-25 -65 2.60930785011513 -0.5157555886 -1.478294889 1.015755589 +-20 -65 2.57981729247632 -0.3081672703 -1.520421326 1.035399469 +-15 -65 2.54446419501529 -0.1004570908 -1.540936371 1.044965791 +-10 -65 2.50373286816500 0.1049004194 -1.540721068 1.044865394 +-5 -65 2.45807412419089 0.3057050549 -1.520801384 1.035576693 +-2.84217e-14 -65 2.40790676413653 0.5000000000 -1.482304651 1.017625371 +5 -65 2.35362218635329 0.6860386914 -1.426431973 0.9915715135 +10 -65 2.29559914268628 0.8622552030 -1.354451347 0.9580063963 +15 -65 2.23421234440255 1.027242100 -1.267694304 0.9175509227 +20 -65 2.16985036191497 1.179738852 -1.167567146 0.8708608623 +25 -65 2.10293051201132 1.318632198 -1.055562414 0.8186321978 +30 -65 2.03390116840312 1.442963016 -0.9332598538 0.7616015776 +35 -65 1.96325826001764 1.551947765 -0.8023371043 0.7005512969 +40 -65 1.89155880844621 1.645011050 -0.6645710326 0.6363099226 +45 -65 1.81941165062053 1.721813038 -0.5218130384 0.5697407767 + +-45 -60 2.62016551609537 -1.215300973 -1.015300973 0.9903294785 +-40 -60 2.61422636127753 -1.036796189 -1.131482379 1.057406845 +-35 -60 2.60103871446101 -0.8486708074 -1.226101525 1.112035234 +-30 -60 2.58132755062764 -0.6544047751 -1.299487723 1.154404775 +-25 -60 2.55577054603765 -0.4570174353 -1.352330513 1.184913574 +-20 -60 2.52496620572422 -0.2590719512 -1.385533046 1.204083065 +-15 -60 2.48943376593119 -0.06272312054 -1.400111276 1.212499811 +-10 -60 2.44961656867626 0.1302211041 -1.397120329 1.210772987 +-5 -60 2.40588860107299 0.3182330517 -1.377605726 1.199506225 +-2.84217e-14 -60 2.35856364284364 0.5000000000 -1.342576031 1.179281821 +5 -60 2.30790582646264 0.6743642656 -1.292992676 1.150654858 +10 -60 2.25414554602076 0.8402718049 -1.229777301 1.114157444 +15 -60 2.19749599484021 0.9967321567 -1.153829647 1.070309046 +20 -60 2.13817196642196 1.142791322 -1.066054644 1.019632124 +25 -60 2.07640161404945 1.277516022 -0.9673884893 0.9626671931 +30 -60 2.01244822160574 1.399994205 -0.8588356895 0.8999942049 +35 -60 1.94662551676116 1.509349454 -0.7415004114 0.8322506506 +40 -60 1.87932393407121 1.604777269 -0.6166222793 0.7601522274 +45 -60 1.81100891917801 1.685583637 -0.4855836366 0.6844970318 + +-45 -55 2.57447070794087 -1.131409325 -0.9314093255 1.142325108 +-40 -55 2.56287780566303 -0.9517292663 -1.030103569 1.211431561 +-35 -55 2.54509981881086 -0.7662961211 -1.108458281 1.266296121 +-30 -55 2.52198808871630 -0.5782383203 -1.167563554 1.307682078 +-25 -55 2.49426450446994 -0.3900307560 -1.208677116 1.336470104 +-20 -55 2.46252093224793 -0.2035873014 -1.233090223 1.353564346 +-15 -55 2.42723029398139 -0.02036823310 -1.242040685 1.359831527 +-10 -55 2.38875902651526 0.1585147074 -1.236659332 1.356063463 +-5 -55 2.34738211462338 0.3322016602 -1.217943800 1.342958707 +-2.84217e-14 -55 2.30329834802018 0.5000000000 -1.186751550 1.321117658 +5 -55 2.25664701515209 0.6613123063 -1.143808098 1.291048329 +10 -55 2.20752279022772 0.8155766478 -1.089724105 1.253178310 +15 -55 2.15599035937212 0.9622177371 -1.025020079 1.207872063 +20 -55 2.10210458312489 1.100609754 -0.9501617366 1.155455687 +25 -55 2.04592594728460 1.230049686 -0.8655966033 1.096242543 +30 -55 1.98753743712941 1.349741931 -0.7717961974 1.030562792 +35 -55 1.92707771910492 1.458803668 -0.6693135468 0.9588036676 +40 -55 1.86474903083253 1.556277727 -0.5588227756 0.8814371967 +45 -55 1.80085648968646 1.641179840 -0.4411798402 0.7990627266 + +-45 -50 2.52034772522603 -1.032674873 -0.8326748729 1.286066921 +-40 -50 2.50313676198223 -0.8534866057 -0.9130225248 1.353486606 +-35 -50 2.48106390006588 -0.6727594292 -0.9748740412 1.405386190 +-30 -50 2.45501142792252 -0.4930073104 -1.019939114 1.443200276 +-25 -50 2.42566883810141 -0.3159815829 -1.049878152 1.468322112 +-20 -50 2.39355734204422 -0.1428458515 -1.066204461 1.482021512 +-15 -50 2.35905449200674 0.02566735997 -1.070233512 1.485402287 +-10 -50 2.32241842238664 0.1891241055 -1.063064809 1.479387031 +-5 -50 2.28380952077812 0.3472812186 -1.045583659 1.464718604 +-2.84217e-14 -50 2.24331116759626 0.5000000000 -1.018476054 1.441972623 +5 -50 2.20094660083457 0.6471777220 -0.9822490606 1.411574566 +10 -50 2.15669321697831 0.7886921351 -0.9372544575 1.373819611 +15 -50 2.11049370667263 0.9243547807 -0.8837136021 1.328893499 +20 -50 2.06226889522350 1.053870584 -0.8217469241 1.276897283 +25 -50 2.01193789860197 1.176804783 -0.7514125406 1.217879728 +30 -50 1.95943486301654 1.292555636 -0.6727466291 1.151871190 +35 -50 1.90472391990887 1.400332691 -0.5858083377 1.078921302 +40 -50 1.84783246880908 1.499152956 -0.4907441254 0.9991529564 +45 -50 1.78888015191571 1.587854518 -0.3878545178 0.9128183247 + +-45 -45 2.45743088816946 -0.9187983848 -0.7187983848 1.418798385 +-40 -45 2.43507527196243 -0.7425546384 -0.7808189543 1.480818954 +-35 -45 2.40938546012795 -0.5690747020 -0.8267969048 1.526796905 +-30 -45 2.38116555903244 -0.3999959857 -0.8588387738 1.558838774 +-25 -45 2.35098732177162 -0.2362013661 -0.8787889244 1.578788924 +-20 -45 2.31923678673032 -0.07805485492 -0.8881926611 1.588192661 +-15 -45 2.28615439136406 0.07441684187 -0.8882979690 1.588297969 +-10 -45 2.25186890584300 0.2213897035 -0.8800775095 1.580077509 +-5 -45 2.21642293547038 0.3631452250 -0.8642572358 1.564257236 +-2.84217e-14 -45 2.17979214649474 0.5000000000 -0.8413458084 1.541345808 +5 -45 2.14190041691194 0.6322533235 -0.8116624052 1.511662405 +10 -45 2.10263059094140 0.7601459307 -0.7753608875 1.475360887 +15 -45 2.06183210120992 0.8838240411 -0.7324508227 1.432450823 +20 -45 2.01933142324824 1.003305372 -0.6828201437 1.382820144 +25 -45 1.97493999533611 1.118443796 -0.6262569994 1.326256999 +30 -45 1.92846728531652 1.228892121 -0.5624781872 1.262478187 +35 -45 1.87973817727030 1.334063526 -0.4911661618 1.191166162 +40 -45 1.82861589884109 1.433094428 -0.4120186363 1.112018636 +45 -45 1.77503286571092 1.524815703 -0.3248157028 1.024815703 + + +### -z patch +# N_rho = 19 +# N_sigma = 19 +# ghosted_gfn=-3 +# dpx = dsigma = dnu +# dpy = 180 - drho = 180 - dmu +# +# dpx dpy gridfn global_x global_y global_z +135 45 1.12131015454855 1.147388720 1.347388720 -0.6473887196 +140 45 1.12720907355686 1.075185038 1.385478835 -0.6854788354 +145 45 1.13539137340663 1.003787465 1.419483065 -0.7194830646 +150 45 1.14556607428586 0.9329832776 1.449949036 -0.7499490356 +155 45 1.15753021988764 0.8624755103 1.477331240 -0.7773312403 +160 45 1.17115868083024 0.7919037699 1.501999016 -0.8019990165 +165 45 1.18639305005141 0.7208551194 1.524242527 -0.8242425266 +170 45 1.20323584313908 0.6488691878 1.544279118 -0.8442791183 +175 45 1.22174474505772 0.5754375889 1.562255586 -0.8622555863 +180 45 1.24203125692569 0.5000000000 1.578248724 -0.8782487242 +185 45 1.26426108471195 0.4219372064 1.592261814 -0.8922618143 +190 45 1.28865574685572 0.3405623175 1.604216030 -0.9042160304 +195 45 1.31549777914703 0.2551111589 1.613937597 -0.9139375970 +200 45 1.34513456668288 0.1647338593 1.621136151 -0.9211361510 +205 45 1.37798515632374 0.06848999350 1.625376195 -0.9253761952 +210 45 1.41454403039511 -0.03464738900 1.626036442 -0.9260364419 +215 45 1.45538136534275 -0.1457710587 1.622256650 -0.9222566504 +220 45 1.50113601975487 -0.2659900890 1.612871440 -0.9128714404 +225 45 1.55249003606700 -0.3963305402 1.596330540 -0.8963305402 + +135 40 1.13917366293291 1.192754746 1.281290252 -0.6927547463 +140 40 1.14505925913453 1.119152095 1.319152095 -0.7378767334 +145 40 1.15342352140293 1.045204946 1.353350963 -0.7786333574 +150 40 1.16402571515511 0.9708271544 1.384282857 -0.8154965530 +155 40 1.17669265819884 0.8958329030 1.412283483 -0.8488663998 +160 40 1.19131470843211 0.8199554507 1.437627628 -0.8790703760 +165 40 1.20784052791291 0.7428592422 1.460528885 -0.9063630311 +170 40 1.22627389626646 0.6641474210 1.481139902 -0.9309262843 +175 40 1.24667101157272 0.5833651300 1.499551017 -0.9528677966 +180 40 1.26913800210996 0.5000000000 1.515786183 -0.9722161141 +185 40 1.29383182822184 0.4134812171 1.529797552 -0.9889142139 +190 40 1.32095917992285 0.3231781307 1.541454692 -1.002806653 +195 40 1.35077843343438 0.2284003813 1.550531169 -1.013623576 +200 40 1.38359958478665 0.1284019448 1.556684865 -1.020957266 +205 40 1.41978243116786 0.02239304172 1.559432213 -1.024231427 +210 40 1.45973315790977 -0.09043541736 1.558117104 -1.022664141 +215 40 1.50389072500406 -0.2108652172 1.551871351 -1.015220743 +220 40 1.55270561238732 -0.3395730832 1.539573083 -1.000564238 +225 40 1.60660146745381 -0.4770071309 1.519806323 -0.9770071309 + +135 35 1.15898498944597 1.234434039 1.214256250 -0.7344340388 +140 35 1.16521330071378 1.160029224 1.250777787 -0.7865921993 +145 35 1.17403556341091 1.084132956 1.284132956 -0.8342283165 +150 35 1.18527315826340 1.006745827 1.314578821 -0.8777095186 +155 35 1.19879517509331 0.9277672132 1.342335209 -0.9173497490 +160 35 1.21451866982370 0.8470102131 1.367579775 -0.9534027248 +165 35 1.23240863663539 0.7642132089 1.390444628 -0.9860571196 +170 35 1.25247580862138 0.6790478082 1.411012146 -1.015430579 +175 35 1.27477613282846 0.5911250526 1.429311047 -1.041564118 +180 35 1.29940774394979 0.5000000000 1.445309663 -1.064412510 +185 35 1.32651168780526 0.4051767254 1.458909429 -1.083834989 +190 35 1.35626872866189 0.3061144642 1.469933865 -1.099579514 +195 35 1.38889750020063 0.2022375092 1.478115951 -1.111264744 +200 35 1.42465112932069 0.09295109722 1.483082470 -1.118357669 +205 35 1.46380755517113 -0.02233183072 1.484333431 -1.120144226 +210 35 1.50665892930416 -0.1441495107 1.481221326 -1.115699680 +215 35 1.55349152425536 -0.2729285417 1.472928542 -1.103856356 +220 35 1.60455445891886 -0.4088918177 1.458447363 -1.083175089 +225 35 1.66001842121841 -0.5519325485 1.436571100 -1.051932549 + +135 30 1.18053393544313 1.272840874 1.146199887 -0.7728408742 +140 30 1.18748994282705 1.198076512 1.180318006 -0.8319351905 +145 30 1.19709303426428 1.120707573 1.211799238 -0.8864622838 +150 30 1.20922658062982 1.040782567 1.240782567 -0.9366628817 +155 30 1.22380659711227 0.9582587637 1.267384678 -0.9827390902 +160 30 1.24078381501708 0.8730125929 1.291693772 -1.024843676 +165 30 1.26014477027650 0.7848489513 1.313764189 -1.063070759 +170 30 1.28190976539231 0.6935091327 1.333610066 -1.097444826 +175 30 1.30613430255156 0.5986795674 1.351200653 -1.127912616 +180 30 1.33290567595170 0.5000000000 1.366452838 -1.154330176 +185 30 1.36234285047358 0.3970738286 1.379224603 -1.176451522 +190 30 1.39459041802107 0.2894812961 1.389304778 -1.193910898 +195 30 1.42981388504994 0.1767982574 1.396402969 -1.206205324 +200 30 1.46819331502492 0.05862206715 1.400138760 -1.212675904 +205 30 1.50990876725970 -0.06539074611 1.400028176 -1.212484368 +210 30 1.55512423147076 -0.1954726990 1.395472699 -1.204594050 +215 30 1.60396454177354 -0.3316754924 1.385751071 -1.187755697 +220 30 1.65648355976675 -0.4737785754 1.370017364 -1.160504116 +225 30 1.71262455800836 -0.6211759534 1.347311239 -1.121175953 + +135 25 1.20369703670227 1.308334240 1.076932446 -0.8083342400 +140 25 1.21177912263046 1.233522257 1.107635796 -0.8741777846 +145 25 1.22251202599321 1.155043109 1.136230119 -0.9354985101 +150 25 1.23583719412097 1.072962338 1.162763664 -0.9923998797 +155 25 1.25171711394905 0.9872704667 1.187270467 -1.044954888 +160 25 1.27013606554617 0.8978895715 1.209764087 -1.093192613 +165 25 1.29110134365515 0.8046814171 1.230232156 -1.137086529 +170 25 1.31464376360213 0.7074563170 1.248631122 -1.176543239 +175 25 1.34081669456938 0.6059829333 1.264880654 -1.211390471 +180 25 1.36969260336007 0.5000000000 1.278857107 -1.241363072 +185 25 1.40136201675047 0.3892313485 1.290388153 -1.266091480 +190 25 1.43592492270144 0.2734050058 1.299244544 -1.285084071 +195 25 1.47348400756500 0.1522788875 1.305133444 -1.297712859 +200 25 1.51413549514329 0.02567387097 1.307692294 -1.303200329 +205 25 1.55795340921543 -0.1064826280 1.306482628 -1.300606193 +210 25 1.60497027619257 -0.2441008620 1.300986869 -1.288820499 +215 25 1.65515437107090 -0.3868603675 1.290610296 -1.266567866 +220 25 1.70838133333975 -0.5341288338 1.274690033 -1.232426753 +225 25 1.76440230162742 -0.6848718988 1.252514840 -1.184871899 + +135 20 1.22842366153403 1.341213564 1.006176698 -0.8412135644 +140 20 1.23803322818745 1.266554385 1.032502803 -0.9135439425 +145 20 1.25026055490840 1.187225878 1.057222324 -0.9814602684 +150 20 1.26509668271384 1.103287873 1.080321687 -1.044925248 +155 20 1.28254299340642 1.014743559 1.101776232 -1.103871124 +160 20 1.30261308120921 0.9215458840 1.121545884 -1.158187798 +165 20 1.32533282611062 0.8236050385 1.139570654 -1.207710445 +170 20 1.35074025601727 0.7207980278 1.155766381 -1.252207841 +175 20 1.37888245198442 0.6129801397 1.170019843 -1.291368906 +180 20 1.40981257069283 0.5000000000 1.182184297 -1.324790469 +185 20 1.44358704903439 0.3817182232 1.192075708 -1.351966896 +190 20 1.48025545086570 0.2580308407 1.199467360 -1.372275294 +195 20 1.51985194394706 0.1288994454 1.204086445 -1.384966125 +200 20 1.56238468890752 -0.005612022781 1.205612023 -1.389157616 +205 20 1.60782085535386 -0.1452925424 1.203674503 -1.383834323 +210 20 1.65606762809762 -0.2897305641 1.197857945 -1.367853461 +215 20 1.70695175815857 -0.4382535639 1.187707359 -1.339964957 +220 20 1.76019732604281 -0.5898632996 1.172742194 -1.298848503 +225 20 1.81540307019584 -0.7431718268 1.152477541 -1.243171827 + +135 15 1.25472817657585 1.371718123 0.9335761670 -0.8717181228 +140 15 1.26626069028356 1.297313725 0.9546057237 -0.9502014967 +145 15 1.28035244289911 1.217304667 0.9744917695 -1.024417230 +150 15 1.29703026508889 1.131729581 0.9931867191 -1.094187732 +155 15 1.31632359953716 1.040590484 1.010633508 -1.159300035 +160 15 1.33826753817288 0.9438606854 1.026763293 -1.219497210 +165 15 1.36289903796855 0.8414918087 1.041491809 -1.274464781 +170 15 1.39025727754193 0.7334254731 1.054716940 -1.323821642 +175 15 1.42037833566746 0.6196063805 1.066315266 -1.367107185 +180 15 1.45329169718342 0.5000000000 1.076139569 -1.403771983 +185 15 1.48901572268921 0.3746138429 1.084016834 -1.433170334 +190 15 1.52754646109879 0.2435235470 1.089745564 -1.454550245 +195 15 1.56884871906964 0.1069048611 1.093095139 -1.467051031 +200 15 1.61284524383408 -0.03492935822 1.093806625 -1.469706333 +205 15 1.65940284642912 -0.1814869753 1.091595294 -1.461453535 +210 15 1.70831646485613 -0.3320500102 1.086155754 -1.441152892 +215 15 1.75929294718072 -0.4856263003 1.077170706 -1.407620236 +220 15 1.81193519250610 -0.6409031408 1.064323930 -1.359675417 +225 15 1.86572811880732 -0.7962082495 1.047317954 -1.296208250 + +135 10 1.28268567150816 1.400026985 0.8586990408 -0.9000269847 +140 10 1.29652713190515 1.325891409 0.8735514273 -0.9842590542 +145 10 1.31284888703168 1.245285057 0.8876784478 -1.064377369 +150 10 1.33169718907942 1.158218516 0.9010247328 -1.140067913 +155 10 1.35311830159146 1.064687433 0.9135277610 -1.210976109 +160 10 1.37715655448795 0.9646797608 0.9251161537 -1.276697150 +165 10 1.40385129998796 0.8581853842 0.9357079219 -1.336766052 +170 10 1.43323514978703 0.7452091486 0.9452091486 -1.390650187 +175 10 1.46532713000113 0.6257858536 0.9535121568 -1.437738886 +180 10 1.50012867883731 0.5000000000 0.9604946113 -1.477338353 +185 10 1.53761765094163 0.3680086209 0.9660189380 -1.508668367 +190 10 1.57773744423856 0.2300682616 0.9699317384 -1.530858960 +195 10 1.62038766490222 0.08656648444 0.9720645764 -1.542954886 +200 10 1.66541393323035 -0.06194348098 0.9722359908 -1.543927025 +205 10 1.71259603507523 -0.2147057713 0.9702548597 -1.532691473 +210 10 1.76163546760668 -0.3707242856 0.9659255438 -1.508138702 +215 10 1.81214379114480 -0.5287274511 0.9590552022 -1.469175059 +220 10 1.86363268135469 -0.6871392305 0.9494634349 -1.414777443 +225 10 1.91550868440814 -0.8440623402 0.9369944543 -1.344062340 + +135 5 1.31242457639047 1.426253563 0.7810366863 -0.9262535625 +140 5 1.32894948149917 1.352320219 0.7888671071 -1.015755683 +145 5 1.34785510456766 1.271120193 0.7963489700 -1.101273766 +150 5 1.36919173914343 1.182639260 0.8034436108 -1.182365882 +155 5 1.39300851843082 1.086868858 0.8101083612 -1.258544328 +160 5 1.41934601757969 0.9838126642 0.8162955632 -1.329264370 +165 5 1.44823636552216 0.8734998461 0.8219522331 -1.393920402 +170 5 1.47969679927284 0.7559982131 0.8270193673 -1.451838012 +175 5 1.51372330906471 0.6314314390 0.8314314390 -1.502268222 +180 5 1.55028702926588 0.5000000000 0.8351164175 -1.544387719 +185 5 1.58932622822746 0.3620042171 0.8379957829 -1.577299017 +190 5 1.63073586651077 0.2178709394 0.8399847848 -1.600033412 +195 5 1.67435855506752 0.06818328998 0.8409933969 -1.611561901 +200 5 1.71997590740910 -0.08628841437 0.8409279798 -1.610814180 +205 5 1.76729847071732 -0.2445557021 0.8396935739 -1.596704856 +210 5 1.81595632461883 -0.4053831150 0.8371970586 -1.568169556 +215 5 1.86549165631748 -0.5672647826 0.8333512771 -1.524212072 +220 5 1.91535313341830 -0.7284095250 0.8280800320 -1.463961465 +225 5 1.96489589946955 -0.8867401294 0.8213240406 -1.386740129 + +135 -2.84217e-14 1.34412646791638 1.450440940 0.7000000000 -0.9504409402 +140 -2.84217e-14 1.36369234640721 1.376564544 0.7000000000 -1.044648944 +145 -2.84217e-14 1.38551426135980 1.294698333 0.7000000000 -1.134946840 +150 -2.84217e-14 1.40963292443881 1.204816462 0.7000000000 -1.220777923 +155 -2.84217e-14 1.43608482183020 1.106915671 0.7000000000 -1.301534857 +160 -2.84217e-14 1.46489544736351 1.001023751 0.7000000000 -1.376551442 +165 -2.84217e-14 1.49607924658075 0.8872138020 0.7000000000 -1.445101582 +170 -2.84217e-14 1.52963021375491 0.7656174991 0.7000000000 -1.506391694 +175 -2.84217e-14 1.56551810182628 0.6364438929 0.7000000000 -1.559560833 +180 -2.84217e-14 1.60368353470594 0.5000000000 0.7000000000 -1.603683535 +185 -2.84217e-14 1.64402814181938 0.3567135062 0.7000000000 -1.637772118 +190 -2.84217e-14 1.68640617669642 0.2071586406 0.7000000000 -1.660785878 +195 -2.84217e-14 1.73061624374448 0.05208355636 0.7000000000 -1.671646925 +200 -2.84217e-14 1.77639259834277 -0.1075620511 0.7000000000 -1.669263016 +205 -2.84217e-14 1.82339683949696 -0.2706008028 0.7000000000 -1.652558754 +210 -2.84217e-14 1.87121038686638 -0.4356051934 0.7000000000 -1.620515731 +215 -2.84217e-14 1.91932978473050 -0.6008823381 0.7000000000 -1.572222917 +220 -2.84217e-14 1.96716547781411 -0.7644695953 0.7000000000 -1.506936183 +225 -2.84217e-14 2.01404286584383 -0.9241433680 0.7000000000 -1.424143368 + +135 -5 1.37802830112889 1.472553887 0.6149125602 -0.9725538870 +140 -5 1.40097111113701 1.398511208 0.6063167927 -1.070803960 +145 -5 1.42601160175100 1.315834237 0.5980641550 -1.165132039 +150 -5 1.45316753311483 1.224507154 0.5902119459 -1.254883200 +155 -5 1.48244957186482 1.124550012 0.5828218989 -1.339351824 +160 -5 1.51385865228300 1.016029198 0.5759604477 -1.417778570 +165 -5 1.54738256824067 0.8990696304 0.5696989220 -1.489348136 +170 -5 1.58298794642869 0.7738683262 0.5641139674 -1.553184459 +175 -5 1.62061766946454 0.6407127122 0.5592872878 -1.608353660 +180 -5 1.66018362869302 0.5000000000 0.5553054627 -1.653866129 +185 -5 1.70155851354780 0.3522594700 0.5522594700 -1.688681985 +190 -5 1.74456754425220 0.1981772386 0.5502437352 -1.711721940 +195 -5 1.78897994238412 0.03862245893 0.5493546329 -1.721884425 +200 -5 1.83450085465065 -0.1253265482 0.5496883019 -1.718070571 +205 -5 1.88076373846044 -0.2923581607 0.5513377267 -1.699217559 +210 -5 1.92732361919512 -0.4609076157 0.5543890467 -1.664340812 +215 -5 1.97365297049753 -0.6291448565 0.5589170081 -1.612585976 +220 -5 2.01914173967144 -0.7949742281 0.5649796040 -1.543290189 +225 -5 2.06310175129346 -0.9560496514 0.5726121620 -1.456049651 + +135 -10 1.41441950336510 1.492461169 0.5250023186 -0.9924611688 +140 -10 1.44104412320911 1.417949137 0.5071037172 -1.093969182 +145 -10 1.46956130614977 1.334248399 0.4899187122 -1.191430188 +150 -10 1.49995418235933 1.241382969 0.4735762370 -1.284112971 +155 -10 1.53219820871535 1.139421603 0.4582126762 -1.371244053 +160 -10 1.56626282535924 1.028487943 0.4439716916 -1.452008690 +165 -10 1.60210494067420 0.9087687732 0.4310051098 -1.525545830 +170 -10 1.63966442541631 0.7805266936 0.4194733064 -1.590945938 +175 -10 1.67885962785534 0.6441157998 0.4095451818 -1.647251130 +180 -10 1.71958091286769 0.5000000000 0.4013979081 -1.693456615 +185 -10 1.76168274544375 0.3487745409 0.3952161854 -1.728514907 +190 -10 1.80497462161518 0.1911907370 0.3911907370 -1.751344359 +195 -10 1.84921286492700 0.02818292047 0.3895154625 -1.760845313 +200 -10 1.89409222334874 -0.1391040426 0.3903832358 -1.755923926 +205 -10 1.93923758983976 -0.3092885123 0.3939801494 -1.735524815 +210 -10 1.98419694448993 -0.4807298381 0.4004779586 -1.698673908 +215 -10 2.02843634057239 -0.6515135590 0.4100246741 -1.644531794 +220 -10 2.07133863567247 -0.8194485044 0.4227333176 -1.572457495 +225 -10 2.11221013310833 -0.9820826017 0.4386688497 -1.482082602 + +135 -15 1.45364950848428 1.509918040 0.4293932768 -1.009918040 +140 -15 1.48421753276341 1.434552434 0.4015699200 -1.113756221 +145 -15 1.51640870553934 1.349552830 0.3749006797 -1.213287181 +150 -15 1.55016217589868 1.255019624 0.3495941732 -1.307732349 +155 -15 1.58541421788023 1.151101173 0.3258649617 -1.396290972 +160 -15 1.62210164173756 1.037999410 0.3039332507 -1.478141232 +165 -15 1.66015323827300 0.9159726556 0.2840273444 -1.552431085 +170 -15 1.69948759252394 0.7853455268 0.2663845478 -1.618274898 +175 -15 1.74000632041986 0.6465214252 0.2512527455 -1.674747554 +180 -15 1.78158979968916 0.5000000000 0.2388906293 -1.720883599 +185 -15 1.82408724604390 0.3463983378 0.2295682929 -1.755675032 +190 -15 1.86730765633728 0.1864773304 0.2235661282 -1.778075416 +195 -15 1.91101132917780 0.02117163699 0.2211716370 -1.787011779 +200 -15 1.95490006205962 -0.1483780385 0.2226742314 -1.781404020 +205 -15 1.99860725898428 -0.3207921414 0.2283573246 -1.760194428 +210 -15 2.04168916361808 -0.4944220081 0.2384871399 -1.722389442 +215 -15 2.08361821779465 -0.6673262935 0.2532979573 -1.667114719 +220 -15 2.12377949811207 -0.8372590310 0.2729738590 -1.593683254 +225 -15 2.16147558249775 -1.001677792 0.2976266484 -1.501677792 + +135 -20 1.49612489727107 1.524532982 0.3271004904 -1.024532982 +140 -20 1.53083362645234 1.447847927 0.2888587966 -1.129601173 +145 -20 1.56681072609378 1.361222785 0.2523334985 -1.229953604 +150 -20 1.60394875642984 1.264876588 0.2178103733 -1.324805111 +155 -20 1.64214776859447 1.159069513 0.1855720661 -1.413379132 +160 -20 1.68131742000695 1.044100507 0.1558994928 -1.494903857 +165 -20 1.72136736190529 0.9203043495 0.1290773143 -1.568597187 +170 -20 1.76220604376981 0.7880580609 0.1053969535 -1.633658444 +175 -20 1.80373345943579 0.6477907402 0.08516113782 -1.689255890 +180 -20 1.84583503145127 0.5000000000 0.06868723799 -1.734517558 +185 -20 1.88837016693113 0.3452744649 0.05631101218 -1.768520959 +190 -20 1.93116336679661 0.1843234214 0.04838742308 -1.790290841 +195 -20 1.97399441492834 0.01801198459 0.04528897330 -1.798803762 +200 -20 2.01658705397890 -0.1525989833 0.04740101672 -1.793000971 +205 -20 2.05859695321340 -0.3262097467 0.05511298218 -1.771812520 +210 -20 2.09960027791739 -0.5012384058 0.06880435227 -1.734195789 +215 -20 2.13908426984987 -0.6757821684 0.08882447283 -1.679190960 +220 -20 2.17644055439868 -0.8475890736 0.1154659440 -1.605994120 +225 -20 2.21096538252765 -1.014049369 0.1489310963 -1.514049369 + +135 -25 1.54231296961975 1.535729377 0.2170314597 -1.035729377 +140 -25 1.58127045313712 1.457185224 0.1680693642 -1.140728930 +145 -25 1.62102971302402 1.368575785 0.1215664384 -1.240454776 +150 -25 1.66144522893015 1.270283939 0.07786588304 -1.334170919 +155 -25 1.70239417578260 1.162710764 0.03728923629 -1.421187819 +160 -25 1.74377422761537 1.046263978 0.0001431092993 -1.500847945 +165 -25 1.78549358012285 0.9213509009 -0.03327017730 -1.572502970 +170 -25 1.82746843930976 0.7883822084 -0.06264467144 -1.635496776 +175 -25 1.86961434883722 0.6477809858 -0.08766096795 -1.689144397 +180 -25 1.91183927278471 0.5000000000 -0.1079781902 -1.732714820 +185 -25 1.95403027754365 0.3455464782 -0.1232250575 -1.765411833 +190 -25 1.99604258820525 0.1850160816 -0.1329945465 -1.786362570 +195 -25 2.03768924924303 0.01913453490 -0.1368424136 -1.794614347 +200 -25 2.07872790393669 -0.1511933464 -0.1342892242 -1.789139015 +205 -25 2.11884662027419 -0.3248280462 -0.1248280462 -1.768849453 +210 -25 2.15764952010224 -0.5003355773 -0.1079395911 -1.732632044 +215 -25 2.19464341471916 -0.6759279372 -0.08311667988 -1.679399140 +220 -25 2.22922560501035 -0.8494097777 -0.04989916564 -1.608163950 +225 -25 2.26067995185588 -1.018143648 -0.007922009355 -1.518143648 + +135 -30 1.59273447490405 1.542689470 0.09800295355 -1.042689470 +140 -30 1.63591746668387 1.461688615 0.03830124570 -1.146095862 +145 -30 1.67930435946721 1.370740122 -0.01796148443 -1.243545769 +150 -30 1.72273006401018 1.270428306 -0.07042830600 -1.334420970 +155 -30 1.76607083383659 1.161311549 -0.1187907585 -1.418187194 +160 -30 1.80923978959708 1.043905568 -0.1627739202 -1.494368265 +165 -30 1.85216943119093 0.9186729434 -0.2021148165 -1.562508696 +170 -30 1.89480715920805 0.7860283149 -0.2365471122 -1.622147182 +175 -30 1.93710500195861 0.6463499451 -0.2657843292 -1.672787527 +180 -30 1.97901072483914 0.5000000000 -0.2895053624 -1.713873562 +185 -30 2.02045499142654 0.3473528916 -0.3073402147 -1.744764432 +190 -30 2.06133764711073 0.1888332774 -0.3188582048 -1.764714176 +195 -30 2.10151603609868 0.02496359699 -0.3235611933 -1.772859991 +200 -30 2.14079057051963 -0.1435785445 -0.3208808603 -1.768217519 +205 -30 2.17888862003054 -0.3158926481 -0.3101825089 -1.749687430 +210 -30 2.21544712795646 -0.4907780757 -0.2907780757 -1.716077966 +215 -30 2.24999445558500 -0.6666500087 -0.2619515070 -1.666148885 +220 -30 2.28193099414097 -0.8414534056 -0.2229994342 -1.598681915 +225 -30 2.31052205714525 -1.012591746 -0.1732952517 -1.512591746 + +135 -35 1.64795281268330 1.544286726 -0.03121743754 -1.044286726 +140 -35 1.69515710167560 1.460213230 -0.1012737902 -1.144337566 +145 -35 1.74181826201951 1.366629156 -0.1666291564 -1.237674702 +150 -35 1.78778963292533 1.264342742 -0.2269910802 -1.323880463 +155 -35 1.83298238266340 1.154064833 -0.2821436948 -1.402646560 +160 -35 1.87735748172821 1.036395393 -0.3319198182 -1.473734231 +165 -35 1.92090397478620 0.9118181162 -0.3761672642 -1.536926133 +170 -35 1.96362683148363 0.7807104759 -0.4147221513 -1.591988218 +175 -35 2.00553632882634 0.6433621157 -0.4473856164 -1.638636481 +180 -35 2.04663674486154 0.5000000000 -0.4739026106 -1.676506673 +185 -35 2.08691419502226 0.3508207356 -0.4939426356 -1.705126795 +190 -35 2.12632370204718 0.1960311762 -0.5070827784 -1.723892864 +195 -35 2.16477502348407 0.03589893929 -0.5127935832 -1.732048738 +200 -35 2.20211764562751 -0.1291853163 -0.5104294800 -1.728672449 +205 -35 2.23812305867604 -0.2986315622 -0.4992250832 -1.712670912 +210 -35 2.27246413523943 -0.4715580828 -0.4783008161 -1.682787962 +215 -35 2.30469155816754 -0.6466827190 -0.4466827190 -1.637632640 +220 -35 2.33420900882644 -0.8222009744 -0.4033434587 -1.575737761 +225 -35 2.36025710730502 -0.9956648928 -0.3472758326 -1.495664893 + +135 -40 1.70854108459582 1.538998692 -0.1718234192 -1.038998692 +140 -40 1.75931895707036 1.451292266 -0.2512922664 -1.133705976 +145 -40 1.80865571389186 1.354922778 -0.3245039489 -1.220956262 +150 -40 1.85647846304530 1.250911651 -0.3913473559 -1.300617132 +155 -40 1.90278311457619 1.140085717 -0.4518054224 -1.372668250 +160 -40 1.94761744459460 1.023078254 -0.5059084190 -1.437145691 +165 -40 1.99105850834705 0.9003400693 -0.5536899306 -1.494089479 +170 -40 2.03319382374828 0.7721606678 -0.5951501525 -1.543499847 +175 -40 2.07411002348655 0.6386961357 -0.6302280735 -1.585304086 +180 -40 2.11388161784112 0.5000000000 -0.6587769123 -1.619327267 +185 -40 2.15255833828028 0.3560580104 -0.6805408098 -1.645264470 +190 -40 2.19015539692744 0.2068286612 -0.6951351136 -1.662657284 +195 -40 2.22663960247776 0.05229188448 -0.7020259259 -1.670869434 +200 -40 2.26191354092033 -0.1074898273 -0.7005114760 -1.669064583 +205 -40 2.29579666337738 -0.2722933015 -0.6897070167 -1.656188330 +210 -40 2.32800175649984 -0.4416342167 -0.6685365126 -1.630958305 +215 -40 2.35810608938991 -0.6146392285 -0.6357373557 -1.591869792 +220 -40 2.38552033751317 -0.7898894992 -0.5898894992 -1.537230445 +225 -40 2.40945772600262 -0.9652404019 -0.5294826808 -1.465240402 + +135 -45 1.77503309876899 1.524815837 -0.3248158374 -1.024815837 +140 -45 1.82861647940034 1.433094724 -0.4120189893 -1.112018989 +145 -45 1.87973866940085 1.334063744 -0.4911664737 -1.191166474 +150 -45 1.92846764471652 1.228892257 -0.5624784225 -1.262478422 +155 -45 1.97494033376759 1.118443901 -0.6262572267 -1.326257227 +160 -45 2.01933163035256 1.003305423 -0.6828202855 -1.382820286 +165 -45 2.06183220629396 0.8838240607 -0.7324508957 -1.432450896 +170 -45 2.10263064691833 0.7601459377 -0.7753609268 -1.475360927 +175 -45 2.14190045336512 0.6322533258 -0.8116624309 -1.511662431 +180 -45 2.17979216875328 0.5000000000 -0.8413458241 -1.541345824 +185 -45 2.21642293991843 0.3631452248 -0.8642572389 -1.564257239 +190 -45 2.25186889289236 0.2213897051 -0.8800775004 -1.580077500 +195 -45 2.28615437986109 0.07441684401 -0.8882979610 -1.588297961 +200 -45 2.31923679270707 -0.07805485641 -0.8881926652 -1.588192665 +205 -45 2.35098741231513 -0.2362013944 -0.8787889852 -1.578788985 +210 -45 2.38116585225934 -0.3999960965 -0.8588389657 -1.558838966 +215 -45 2.40938603631658 -0.5690749577 -0.8267972699 -1.526797270 +220 -45 2.43507598409714 -0.7425550018 -0.7808193874 -1.480819387 +225 -45 2.45743130288507 -0.9187986242 -0.7187986242 -1.418798624 + + diff --git a/test/recoverML-EE/phi.x.asc b/test/recoverML-EE/phi.x.asc new file mode 100644 index 0000000..c04e46b --- /dev/null +++ b/test/recoverML-EE/phi.x.asc @@ -0,0 +1,68 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 14:51:29-0500 +# parameter filename: "recoverML-new.par" +# +# phi x (phi) +# +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0394736842105263 -0.473684210526316 -0.483870967741935 0 0 +1 0 0 0 0 1 15 3 0.0394736842105263 -0.315789473684211 -0.483870967741935 0 0 +1 0 0 0 0 2 15 3 0.0394736842105263 -0.157894736842105 -0.483870967741935 0 0 +1 0 0 0 0 3 15 3 0.0394736842105263 0 -0.483870967741935 0 0 +1 0 0 0 0 4 15 3 0.0394736842105263 0.157894736842105 -0.483870967741935 0 0 +1 0 0 0 0 5 15 3 0.0394736842105263 0.315789473684211 -0.483870967741935 0 0 +1 0 0 0 0 6 15 3 0.0394736842105263 0.473684210526316 -0.483870967741935 0 0 +1 0 0 0 0 7 15 3 0.0394736842105263 0.631578947368421 -0.483870967741935 0 -7.40375010411015e-06 +1 0 0 0 0 8 15 3 0.0394736842105263 0.789473684210526 -0.483870967741935 0 0.0151457324276356 +1 0 0 0 0 9 15 3 0.0394736842105263 0.947368421052632 -0.483870967741935 0 0.112868399289875 +1 0 0 0 0 10 15 3 0.0394736842105263 1.10526315789474 -0.483870967741935 0 0.0890419129079241 +1 0 0 0 0 11 15 3 0.0394736842105263 1.26315789473684 -0.483870967741935 0 0.0812971297985594 +1 0 0 0 0 12 15 3 0.0394736842105263 1.42105263157895 -0.483870967741935 0 0.0748473307736309 +1 0 0 0 0 13 15 3 0.0394736842105263 1.57894736842105 -0.483870967741935 0 0.0694410741152478 +1 0 0 0 0 14 15 3 0.0394736842105263 1.73684210526316 -0.483870967741935 0 0.0648253123692525 +1 0 0 0 0 15 15 3 0.0394736842105263 1.89473684210526 -0.483870967741935 0 0.060826945439996 +1 0 0 0 0 16 15 3 0.0394736842105263 2.05263157894737 -0.483870967741935 0 0.0573225080950455 +1 0 0 0 0 17 15 3 0.0394736842105263 2.21052631578947 -0.483870967741935 0 0.0542209531310886 +1 0 0 0 0 18 15 3 0.0394736842105263 2.36842105263158 -0.483870967741935 0 0.051453231108731 +1 0 0 0 0 19 15 3 0.0394736842105263 2.52631578947368 -0.483870967741935 0 0.048967060767596 +1 0 0 0 0 20 15 3 0.0394736842105263 2.68421052631579 -0.483870967741935 0 0.0467168508130992 +1 0 0 0 0 21 15 3 0.0394736842105263 2.84210526315789 -0.483870967741935 0 0.0446660803315891 +1 0 0 0 0 22 15 3 0.0394736842105263 3 -0.483870967741935 0 0.0427104936735151 +1 0 0 0 0 23 15 3 0.0394736842105263 3.1578947368421 -0.483870967741935 0 0.0409962142110507 +1 0 0 0 0 24 15 3 0.0394736842105263 3.31578947368421 -0.483870967741935 0 0.0394253579982667 + + +# iteration 2 time 0.0789473684210526 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0789473684210526 -0.473684210526316 -0.483870967741935 0 -5.66831058551131e-06 +2 0 0 0 0 1 15 3 0.0789473684210526 -0.315789473684211 -0.483870967741935 0 -3.63141454888739e-07 +2 0 0 0 0 2 15 3 0.0789473684210526 -0.157894736842105 -0.483870967741935 0 -3.59810299186385e-07 +2 0 0 0 0 3 15 3 0.0789473684210526 0 -0.483870967741935 0 -3.4988822010794e-07 +2 0 0 0 0 4 15 3 0.0789473684210526 0.157894736842105 -0.483870967741935 0 -3.36110826907837e-07 +2 0 0 0 0 5 15 3 0.0789473684210526 0.315789473684211 -0.483870967741935 0 -3.21225055416195e-07 +2 0 0 0 0 6 15 3 0.0789473684210526 0.473684210526316 -0.483870967741935 0 -5.98682619525979e-06 +2 0 0 0 0 7 15 3 0.0789473684210526 0.631578947368421 -0.483870967741935 0 -0.000613975144874049 +2 0 0 0 0 8 15 3 0.0789473684210526 0.789473684210526 -0.483870967741935 0 0.0248939770534845 +2 0 0 0 0 9 15 3 0.0789473684210526 0.947368421052632 -0.483870967741935 0 0.124975691342909 +2 0 0 0 0 10 15 3 0.0789473684210526 1.10526315789474 -0.483870967741935 0 0.0891194753667365 +2 0 0 0 0 11 15 3 0.0789473684210526 1.26315789473684 -0.483870967741935 0 0.0815118149092482 +2 0 0 0 0 12 15 3 0.0789473684210526 1.42105263157895 -0.483870967741935 0 0.0749931673486757 +2 0 0 0 0 13 15 3 0.0789473684210526 1.57894736842105 -0.483870967741935 0 0.069539651942827 +2 0 0 0 0 14 15 3 0.0789473684210526 1.73684210526316 -0.483870967741935 0 0.0648939449817955 +2 0 0 0 0 15 15 3 0.0789473684210526 1.89473684210526 -0.483870967741935 0 0.0608760506693589 +2 0 0 0 0 16 15 3 0.0789473684210526 2.05263157894737 -0.483870967741935 0 0.0573585438864832 +2 0 0 0 0 17 15 3 0.0789473684210526 2.21052631578947 -0.483870967741935 0 0.0542478224466508 +2 0 0 0 0 18 15 3 0.0789473684210526 2.36842105263158 -0.483870967741935 0 0.0514740622289526 +2 0 0 0 0 19 15 3 0.0789473684210526 2.52631578947368 -0.483870967741935 0 0.048984445272289 +2 0 0 0 0 20 15 3 0.0789473684210526 2.68421052631579 -0.483870967741935 0 0.0467370552724597 +2 0 0 0 0 21 15 3 0.0789473684210526 2.84210526315789 -0.483870967741935 0 0.0446545844129207 +2 0 0 0 0 22 15 3 0.0789473684210526 3 -0.483870967741935 0 0.0426453541043937 +2 0 0 0 0 23 15 3 0.0789473684210526 3.1578947368421 -0.483870967741935 0 0.0408971973580079 +2 0 0 0 0 24 15 3 0.0789473684210526 3.31578947368421 -0.483870967741935 0 0.0393360805795658 + + diff --git a/test/recoverML-EE/phi.y.asc b/test/recoverML-EE/phi.y.asc new file mode 100644 index 0000000..4c38ddc --- /dev/null +++ b/test/recoverML-EE/phi.y.asc @@ -0,0 +1,90 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 14:51:29-0500 +# parameter filename: "recoverML-new.par" +# +# phi y (phi) +# +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0394736842105263 0 -3.38709677419355 0 0.0390795937537406 +1 0 0 0 0 3 1 3 0.0394736842105263 0 -3.19354838709677 0 0.0410063856680445 +1 0 0 0 0 3 2 3 0.0394736842105263 0 -3 0 0.0431549548350437 +1 0 0 0 0 3 3 3 0.0394736842105263 0 -2.80645161290323 0 0.04564620655957 +1 0 0 0 0 3 4 3 0.0394736842105263 0 -2.61290322580645 0 0.0483538723940632 +1 0 0 0 0 3 5 3 0.0394736842105263 0 -2.41935483870968 0 0.0514176216252329 +1 0 0 0 0 3 6 3 0.0394736842105263 0 -2.2258064516129 0 0.0549297828536417 +1 0 0 0 0 3 7 3 0.0394736842105263 0 -2.03225806451613 0 0.0590102024218103 +1 0 0 0 0 3 8 3 0.0394736842105263 0 -1.83870967741935 0 0.0638264270205443 +1 0 0 0 0 3 9 3 0.0394736842105263 0 -1.64516129032258 0 0.0696314782288989 +1 0 0 0 0 3 10 3 0.0394736842105263 0 -1.45161290322581 0 0.0768323518616486 +1 0 0 0 0 3 11 3 0.0394736842105263 0 -1.25806451612903 0 0.0861525120870256 +1 0 0 0 0 3 12 3 0.0394736842105263 0 -1.06451612903226 0 0.108088909124338 +1 0 0 0 0 3 13 3 0.0394736842105263 0 -0.870967741935484 0 0.00829179022200668 +1 0 0 0 0 3 14 3 0.0394736842105263 0 -0.67741935483871 0 -8.66921704726186e-07 +1 0 0 0 0 3 15 3 0.0394736842105263 0 -0.483870967741935 0 0 +1 0 0 0 0 3 16 3 0.0394736842105263 0 -0.290322580645161 0 0 +1 0 0 0 0 3 17 3 0.0394736842105263 0 -0.0967741935483871 0 0 +1 0 0 0 0 3 18 3 0.0394736842105263 0 0.0967741935483871 0 0 +1 0 0 0 0 3 19 3 0.0394736842105263 0 0.290322580645161 0 0 +1 0 0 0 0 3 20 3 0.0394736842105263 0 0.483870967741935 0 0 +1 0 0 0 0 3 21 3 0.0394736842105263 0 0.67741935483871 0 -8.66921704726187e-07 +1 0 0 0 0 3 22 3 0.0394736842105263 0 0.870967741935484 0 0.00829179022200667 +1 0 0 0 0 3 23 3 0.0394736842105263 0 1.06451612903226 0 0.108088909124338 +1 0 0 0 0 3 24 3 0.0394736842105263 0 1.25806451612903 0 0.0861525120870257 +1 0 0 0 0 3 25 3 0.0394736842105263 0 1.45161290322581 0 0.0768323518616486 +1 0 0 0 0 3 26 3 0.0394736842105263 0 1.64516129032258 0 0.0696314782288989 +1 0 0 0 0 3 27 3 0.0394736842105263 0 1.83870967741935 0 0.0638264270205443 +1 0 0 0 0 3 28 3 0.0394736842105263 0 2.03225806451613 0 0.0590102024218103 +1 0 0 0 0 3 29 3 0.0394736842105263 0 2.2258064516129 0 0.0549297828536417 +1 0 0 0 0 3 30 3 0.0394736842105263 0 2.41935483870968 0 0.0514176216252329 +1 0 0 0 0 3 31 3 0.0394736842105263 0 2.61290322580645 0 0.0483538723940632 +1 0 0 0 0 3 32 3 0.0394736842105263 0 2.80645161290323 0 0.04564620655957 +1 0 0 0 0 3 33 3 0.0394736842105263 0 3 0 0.0431549548350437 +1 0 0 0 0 3 34 3 0.0394736842105263 0 3.19354838709677 0 0.0410063856680446 +1 0 0 0 0 3 35 3 0.0394736842105263 0 3.38709677419355 0 0.0390795937537406 + + +# iteration 2 time 0.0789473684210526 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0789473684210526 0 -3.38709677419355 0 0.038991250698719 +2 0 0 0 0 3 1 3 0.0789473684210526 0 -3.19354838709677 0 0.0409051331014985 +2 0 0 0 0 3 2 3 0.0789473684210526 0 -3 0 0.0430807685148365 +2 0 0 0 0 3 3 3 0.0789473684210526 0 -2.80645161290323 0 0.0456340958217502 +2 0 0 0 0 3 4 3 0.0789473684210526 0 -2.61290322580645 0 0.0483726110635126 +2 0 0 0 0 3 5 3 0.0789473684210526 0 -2.41935483870968 0 0.0514373384397989 +2 0 0 0 0 3 6 3 0.0789473684210526 0 -2.2258064516129 0 0.0549551426664457 +2 0 0 0 0 3 7 3 0.0789473684210526 0 -2.03225806451613 0 0.0590461301312485 +2 0 0 0 0 3 8 3 0.0789473684210526 0 -1.83870967741935 0 0.0638801756906151 +2 0 0 0 0 3 9 3 0.0789473684210526 0 -1.64516129032258 0 0.0697163591445494 +2 0 0 0 0 3 10 3 0.0789473684210526 0 -1.45161290322581 0 0.0769770592727518 +2 0 0 0 0 3 11 3 0.0789473684210526 0 -1.25806451612903 0 0.0864379534086569 +2 0 0 0 0 3 12 3 0.0789473684210526 0 -1.06451612903226 0 0.116860643505988 +2 0 0 0 0 3 13 3 0.0789473684210526 0 -0.870967741935484 0 0.0139465405459206 +2 0 0 0 0 3 14 3 0.0789473684210526 0 -0.67741935483871 0 -9.56881491472022e-05 +2 0 0 0 0 3 15 3 0.0789473684210526 0 -0.483870967741935 0 -3.4988822010794e-07 +2 0 0 0 0 3 16 3 0.0789473684210526 0 -0.290322580645161 0 -7.22369949522631e-17 +2 0 0 0 0 3 17 3 0.0789473684210526 0 -0.0967741935483871 0 0 +2 0 0 0 0 3 18 3 0.0789473684210526 0 0.0967741935483871 0 0 +2 0 0 0 0 3 19 3 0.0789473684210526 0 0.290322580645161 0 -7.22369949522633e-17 +2 0 0 0 0 3 20 3 0.0789473684210526 0 0.483870967741935 0 -3.4988822010794e-07 +2 0 0 0 0 3 21 3 0.0789473684210526 0 0.67741935483871 0 -9.56881491472022e-05 +2 0 0 0 0 3 22 3 0.0789473684210526 0 0.870967741935484 0 0.0139465405459206 +2 0 0 0 0 3 23 3 0.0789473684210526 0 1.06451612903226 0 0.116860643505988 +2 0 0 0 0 3 24 3 0.0789473684210526 0 1.25806451612903 0 0.0864379534086569 +2 0 0 0 0 3 25 3 0.0789473684210526 0 1.45161290322581 0 0.0769770592727518 +2 0 0 0 0 3 26 3 0.0789473684210526 0 1.64516129032258 0 0.0697163591445494 +2 0 0 0 0 3 27 3 0.0789473684210526 0 1.83870967741935 0 0.0638801756906151 +2 0 0 0 0 3 28 3 0.0789473684210526 0 2.03225806451613 0 0.0590461301312485 +2 0 0 0 0 3 29 3 0.0789473684210526 0 2.2258064516129 0 0.0549551426664457 +2 0 0 0 0 3 30 3 0.0789473684210526 0 2.41935483870968 0 0.0514373384397989 +2 0 0 0 0 3 31 3 0.0789473684210526 0 2.61290322580645 0 0.0483726110635126 +2 0 0 0 0 3 32 3 0.0789473684210526 0 2.80645161290323 0 0.0456340958217502 +2 0 0 0 0 3 33 3 0.0789473684210526 0 3 0 0.0430807685148365 +2 0 0 0 0 3 34 3 0.0789473684210526 0 3.19354838709677 0 0.0409051331014985 +2 0 0 0 0 3 35 3 0.0789473684210526 0 3.38709677419355 0 0.038991250698719 + + diff --git a/test/recoverML-EE/phi.z.asc b/test/recoverML-EE/phi.z.asc new file mode 100644 index 0000000..5c904ce --- /dev/null +++ b/test/recoverML-EE/phi.z.asc @@ -0,0 +1,68 @@ +# 1D ASCII output created by CarpetIOASCII +# created on linux-wovv.site by diener on May 08 2012 at 14:51:29-0500 +# parameter filename: "recoverML-new.par" +# +# phi z (phi) +# +# iteration 1 time 0.0394736842105263 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0394736842105263 0 -0.483870967741935 -0.473684210526316 0 +1 0 0 0 0 3 15 1 0.0394736842105263 0 -0.483870967741935 -0.315789473684211 0 +1 0 0 0 0 3 15 2 0.0394736842105263 0 -0.483870967741935 -0.157894736842105 0 +1 0 0 0 0 3 15 3 0.0394736842105263 0 -0.483870967741935 0 0 +1 0 0 0 0 3 15 4 0.0394736842105263 0 -0.483870967741935 0.157894736842105 0 +1 0 0 0 0 3 15 5 0.0394736842105263 0 -0.483870967741935 0.315789473684211 0 +1 0 0 0 0 3 15 6 0.0394736842105263 0 -0.483870967741935 0.473684210526316 0 +1 0 0 0 0 3 15 7 0.0394736842105263 0 -0.483870967741935 0.631578947368421 -6.60640339462472e-06 +1 0 0 0 0 3 15 8 0.0394736842105263 0 -0.483870967741935 0.789473684210526 0.0140011838273328 +1 0 0 0 0 3 15 9 0.0394736842105263 0 -0.483870967741935 0.947368421052632 0.0897700922026699 +1 0 0 0 0 3 15 10 0.0394736842105263 0 -0.483870967741935 1.10526315789474 0.0721947956810285 +1 0 0 0 0 3 15 11 0.0394736842105263 0 -0.483870967741935 1.26315789473684 0.0682420664584136 +1 0 0 0 0 3 15 12 0.0394736842105263 0 -0.483870967741935 1.42105263157895 0.064557953509188 +1 0 0 0 0 3 15 13 0.0394736842105263 0 -0.483870967741935 1.57894736842105 0.0611885442354052 +1 0 0 0 0 3 15 14 0.0394736842105263 0 -0.483870967741935 1.73684210526316 0.0581066517182545 +1 0 0 0 0 3 15 15 0.0394736842105263 0 -0.483870967741935 1.89473684210526 0.0552853870442687 +1 0 0 0 0 3 15 16 0.0394736842105263 0 -0.483870967741935 2.05263157894737 0.05269914553115 +1 0 0 0 0 3 15 17 0.0394736842105263 0 -0.483870967741935 2.21052631578947 0.0503241847999288 +1 0 0 0 0 3 15 18 0.0394736842105263 0 -0.483870967741935 2.36842105263158 0.0481387900229314 +1 0 0 0 0 3 15 19 0.0394736842105263 0 -0.483870967741935 2.52631578947368 0.0461250105559029 +1 0 0 0 0 3 15 20 0.0394736842105263 0 -0.483870967741935 2.68421052631579 0.0442614990415486 +1 0 0 0 0 3 15 21 0.0394736842105263 0 -0.483870967741935 2.84210526315789 0.0425275332682152 +1 0 0 0 0 3 15 22 0.0394736842105263 0 -0.483870967741935 3 0.0408093756466934 +1 0 0 0 0 3 15 23 0.0394736842105263 0 -0.483870967741935 3.1578947368421 0.0393195194869673 +1 0 0 0 0 3 15 24 0.0394736842105263 0 -0.483870967741935 3.31578947368421 0.0379419095666774 + + +# iteration 2 time 0.0789473684210526 +# time level 0 +# refinement level 0 multigrid level 0 map 0 component 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 0.0789473684210526 0 -0.483870967741935 -0.473684210526316 -4.9053264558341e-06 +2 0 0 0 0 3 15 1 0.0789473684210526 0 -0.483870967741935 -0.315789473684211 -3.32370395109243e-07 +2 0 0 0 0 3 15 2 0.0789473684210526 0 -0.483870967741935 -0.157894736842105 -3.44634535565978e-07 +2 0 0 0 0 3 15 3 0.0789473684210526 0 -0.483870967741935 0 -3.4988822010794e-07 +2 0 0 0 0 3 15 4 0.0789473684210526 0 -0.483870967741935 0.157894736842105 -3.44634535565978e-07 +2 0 0 0 0 3 15 5 0.0789473684210526 0 -0.483870967741935 0.315789473684211 -3.32370395109243e-07 +2 0 0 0 0 3 15 6 0.0789473684210526 0 -0.483870967741935 0.473684210526316 -4.9053264558341e-06 +2 0 0 0 0 3 15 7 0.0789473684210526 0 -0.483870967741935 0.631578947368421 -0.000496852342565425 +2 0 0 0 0 3 15 8 0.0789473684210526 0 -0.483870967741935 0.789473684210526 0.0235793763329855 +2 0 0 0 0 3 15 9 0.0789473684210526 0 -0.483870967741935 0.947368421052632 0.101401395394619 +2 0 0 0 0 3 15 10 0.0789473684210526 0 -0.483870967741935 1.10526315789474 0.0721861792971193 +2 0 0 0 0 3 15 11 0.0789473684210526 0 -0.483870967741935 1.26315789473684 0.0683238339736906 +2 0 0 0 0 3 15 12 0.0789473684210526 0 -0.483870967741935 1.42105263157895 0.0646198084397643 +2 0 0 0 0 3 15 13 0.0789473684210526 0 -0.483870967741935 1.57894736842105 0.0612343364893555 +2 0 0 0 0 3 15 14 0.0789473684210526 0 -0.483870967741935 1.73684210526316 0.0581411874808775 +2 0 0 0 0 3 15 15 0.0789473684210526 0 -0.483870967741935 1.89473684210526 0.0553118823752412 +2 0 0 0 0 3 15 16 0.0789473684210526 0 -0.483870967741935 2.05263157894737 0.052719818139305 +2 0 0 0 0 3 15 17 0.0789473684210526 0 -0.483870967741935 2.21052631578947 0.0503403453472751 +2 0 0 0 0 3 15 18 0.0789473684210526 0 -0.483870967741935 2.36842105263158 0.0481521648331788 +2 0 0 0 0 3 15 19 0.0789473684210526 0 -0.483870967741935 2.52631578947368 0.0461374097649249 +2 0 0 0 0 3 15 20 0.0789473684210526 0 -0.483870967741935 2.68421052631579 0.0442778525224702 +2 0 0 0 0 3 15 21 0.0789473684210526 0 -0.483870967741935 2.84210526315789 0.0425052993305379 +2 0 0 0 0 3 15 22 0.0789473684210526 0 -0.483870967741935 3 0.0407193576207963 +2 0 0 0 0 3 15 23 0.0789473684210526 0 -0.483870967741935 3.1578947368421 0.0391867490353027 +2 0 0 0 0 3 15 24 0.0789473684210526 0 -0.483870967741935 3.31578947368421 0.0378231232139516 + + diff --git a/test/test.ccl b/test/test.ccl index 0ca0edb..98325d9 100644 --- a/test/test.ccl +++ b/test/test.ccl @@ -16,6 +16,16 @@ TEST checkpointML NPROCS 1 } +TEST recoverML-EE +{ + NPROCS 1 +} + +TEST checkpointML-EE +{ + NPROCS 1 +} + TEST misner1.2-025 { NPROCS 1 |