diff options
| author | diener <diener@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2011-04-11 19:31:03 +0000 |
|---|---|---|
| committer | diener <diener@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2011-04-11 19:31:03 +0000 |
| commit | fcf7c21112546d0d5f5be44fe3be5d13c3c37625 (patch) | |
| tree | 16eb5e52cb1ddca799683d11e598d42b85c61785 | |
| parent | 09864c38c259da9bc592c116e4e65f315e88f081 (diff) | |
Switch from Lagrange 4th order interpolation for the geometry to Hermite
3rd order interpolation in order to avoid an issue with different
interpolation stencils being used for certain points due to roundoff
differences in the coordinates when running on a single or multiple
processors.
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1555 f88db872-0e4f-0410-b76b-b9085cfa78c5
51 files changed, 17848 insertions, 17848 deletions
diff --git a/test/Kerr-Cartoon.par b/test/Kerr-Cartoon.par index b818173..5874ac1 100644 --- a/test/Kerr-Cartoon.par +++ b/test/Kerr-Cartoon.par @@ -51,8 +51,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-Cartoon/BH_diagnostics.ah1.gp b/test/Kerr-Cartoon/BH_diagnostics.ah1.gp index f0c2d6c..c497a43 100644 --- a/test/Kerr-Cartoon/BH_diagnostics.ah1.gp +++ b/test/Kerr-Cartoon/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000012 0.000010 0.000000 1.036499940 2.756852586 1.996038499 1.199215002 7.233940996e-06 0.000000000 1.199211093 -0.000000000 1.079338567 -1.895784143 1.896076715 -1.896212540 1.895835286 -1.798820012 1.798820012 12.56314266 10.83369620 11.22401194 0.8623396626 0.8934079829 45.21162149 0.9483968740 1.896793748 1.180738528e-15 -1.471164815 -1.762301919e-15 0.7355824077 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000027 0.000038 0.000000 1.036664617 2.756947260 1.996092616 1.199348354 4.954898710e-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 -9.163053902e-16 -1.471093328 1.350544145e-15 0.7355466639 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7074221100 0.7481142543 33.18938202 diff --git a/test/Kerr-Cartoon/h.t0.ah1.gp b/test/Kerr-Cartoon/h.t0.ah1.gp index cec91d0..3f27f63 100644 --- a/test/Kerr-Cartoon/h.t0.ah1.gp +++ b/test/Kerr-Cartoon/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45750933683348 -0.9188436772 -0.7188436772 1.418843677 --40 -45 2.43514389897600 -0.7425896569 -0.7808606878 1.480860688 --35 -45 2.40944444346221 -0.5691008737 -0.8268342818 1.526834282 --30 -45 2.38121685584344 -0.4000153740 -0.8588723554 1.558872355 --25 -45 2.35103366142583 -0.2362158771 -0.8788200435 1.578820043 --20 -45 2.31928050423471 -0.07806575123 -0.8882225985 1.588222598 --15 -45 2.28619759792129 0.07440879867 -0.8883279866 1.588327987 --10 -45 2.25191382758630 0.2213841456 -0.8801090299 1.580109030 --5 -45 2.21647232140197 0.3631421757 -0.8642920903 1.564292090 -0 -45 2.17984876163997 0.5000000000 -0.8413858413 1.541385841 -5 -45 2.14196581511248 0.6322573616 -0.8117085604 1.511708560 -10 -45 2.10270456947039 0.7601550837 -0.7754127963 1.475412796 -15 -45 2.06191535082483 0.8838395386 -0.7325086601 1.432508660 -20 -45 2.01942366294656 1.003328362 -0.6828833086 1.382883309 -25 -45 1.97503993805021 1.118475092 -0.6263241152 1.326324115 -30 -45 1.92857315445794 1.228932136 -0.5625474948 1.262547495 -35 -45 1.87984757716527 1.334112068 -0.4912354871 1.191235487 -40 -45 1.82872336255201 1.433149263 -0.4120839871 1.112083987 -45 -45 1.77513501302357 1.524874678 -0.3248746776 1.024874678 - --45 -40 2.40953139622289 -0.9652852023 -0.5295202728 1.465285202 --40 -40 2.38558387317794 -0.7899238540 -0.5899238540 1.537271387 --35 -40 2.35815932559417 -0.6146643924 -0.6357675110 1.591905730 --30 -40 2.32804779266575 -0.4416528375 -0.6685635753 1.630990558 --25 -40 2.29583829137138 -0.2723073050 -0.6897322152 1.656218360 --20 -40 2.26195290790305 -0.1075004002 -0.7005358509 1.669093632 --15 -40 2.22667873606837 0.05228401593 -0.7020505667 1.670898800 --10 -40 2.19019634876855 0.2068231794 -0.6951612001 1.662688372 --5 -40 2.15260332606058 0.3560550020 -0.6805696627 1.645298855 -0 -40 2.11393307562347 0.5000000000 -0.6588099887 1.619366686 -5 -40 2.07417040295840 0.6387001733 -0.6302667978 1.585350235 -10 -40 2.03326465625555 0.7721701493 -0.5951952730 1.543553620 -15 -40 1.99114042883633 0.9003565409 -0.5537415126 1.494150952 -20 -40 1.94771002899359 1.023103119 -0.5059657445 1.437214009 -25 -40 1.90288493430008 1.140119969 -0.4518670566 1.372741703 -30 -40 1.85658674998863 1.250955451 -0.3914110133 1.300692996 -35 -40 1.80876901405743 1.354976333 -0.3245681272 1.221032746 -40 -40 1.75943047021129 1.451352563 -0.2513525634 1.133777835 -45 -40 1.70864639214271 1.539062732 -0.1718771548 1.039062732 - --45 -35 2.36032845140832 -0.9957101026 -0.3473074889 1.495710103 --40 -35 2.33426891591153 -0.8222349084 -0.4033717758 1.575778202 --35 -35 2.30474120745118 -0.6467074217 -0.4467074217 1.637667919 --30 -35 2.27250641837989 -0.4715761603 -0.4783227404 1.682819273 --25 -35 2.23816000807640 -0.2986447469 -0.4992448813 1.712699187 --20 -35 2.20215179890156 -0.1291950745 -0.5104482529 1.728699260 --15 -35 2.16480901079919 0.03589165282 -0.5128126243 1.732075932 --10 -35 2.12635991110330 0.1960260000 -0.5071033337 1.723922220 --5 -35 2.08695494053361 0.3508178229 -0.4939659464 1.705160087 -0 -35 2.04668398430586 0.5000000000 -0.4739297061 1.676545370 -5 -35 2.00559208307715 0.6433661012 -0.4474175140 1.638682035 -10 -35 1.96369339101856 0.7807199909 -0.4147599361 1.592042181 -15 -35 1.92098345270539 0.9118351553 -0.3762117909 1.536989724 -20 -35 1.87744949548295 1.036421683 -0.3319703950 1.473806463 -25 -35 1.83308540984901 1.154101596 -0.2821988986 1.402725399 -30 -35 1.78790011018842 1.264389975 -0.2270483640 1.323962273 -35 -35 1.74193391007558 1.366686696 -0.1666866962 1.237756878 -40 -35 1.69527180290100 1.460278202 -0.1013280076 1.144414997 -45 -35 1.64805986130244 1.544354561 -0.03126493636 1.044354561 - --45 -30 2.31059200832938 -1.012637540 -0.1733216908 1.512637540 --40 -30 2.28198866010016 -0.8414873051 -0.2230227591 1.598722315 --35 -30 2.25004187388672 -0.6666745957 -0.2619717800 1.666183998 --30 -30 2.21548631531510 -0.4907956009 -0.2907956009 1.716108321 --25 -30 2.17892042465402 -0.3159045575 -0.3101972543 1.749712970 --20 -30 2.14081834454115 -0.1435868941 -0.3208941050 1.768240459 --15 -30 2.10154351357161 0.02495738586 -0.3235745764 1.772883172 --10 -30 2.06136780709522 0.1888287247 -0.3188731120 1.764739996 --5 -30 2.02049111030474 0.3473501628 -0.3073582225 1.744795623 -0 -30 1.97905499969262 0.5000000000 -0.2895274998 1.713911905 -5 -30 1.93715816230694 0.6463539614 -0.2658108334 1.672833434 -10 -30 1.89487101218746 0.7860379537 -0.2365786729 1.622201847 -15 -30 1.85224674112882 0.9186904189 -0.2021524709 1.562573916 -20 -30 1.80933132330801 1.043933085 -0.1628175700 1.494443869 -25 -30 1.76617493824801 1.161350532 -0.1188390237 1.418270792 -30 -30 1.72284229567821 1.270478498 -0.07047849753 1.334507904 -35 -30 1.67942108798597 1.370800647 -0.01801138997 1.243632208 -40 -30 1.63603343755952 1.461756789 0.03825433759 1.146177109 -45 -30 1.59284278454516 1.542760376 0.09796201635 1.042760376 - --45 -25 2.26074928569749 -1.018190209 -0.007943720943 1.518190209 --40 -25 2.22928230527764 -0.8494440998 -0.04991823930 1.608204854 --35 -25 2.19468901979719 -0.6759523732 -0.08313295318 1.679434038 --30 -25 2.15768553179086 -0.5003522731 -0.1079530758 1.732660963 --25 -25 2.11887393618274 -0.3248386798 -0.1248386798 1.768872257 --20 -25 2.07874997933124 -0.1512002618 -0.1342980840 1.789158015 --15 -25 2.03771086954408 0.01912943282 -0.1368512927 1.794633389 --10 -25 1.99606748975805 0.1850121521 -0.1330049385 1.786384855 --5 -25 1.95406260488141 0.3455439229 -0.1232386769 1.765441040 -0 -25 1.91188167074443 0.5000000000 -0.1079961083 1.732753246 -5 -25 1.86966685343361 0.6477851359 -0.08768308792 1.689191833 -10 -25 1.82753200025754 0.7883922386 -0.06267119689 1.635553660 -15 -25 1.78557063434686 0.9213690846 -0.03330182209 1.572570832 -20 -25 1.74386604170356 1.046292740 0.0001062600781 1.500926969 -25 -25 1.70249886717690 1.162751518 0.03724848186 1.421275217 -30 -25 1.66155896501427 1.270336670 0.07782329415 1.334262251 -35 -25 1.62114758639851 1.368638944 0.1215243775 1.240544976 -40 -25 1.58138650390734 1.457255473 0.1680303253 1.140812649 -45 -25 1.54242112369517 1.535802007 0.2169975917 1.035802007 - --45 -20 2.21103464949187 -1.014096803 0.1489138320 1.514096803 --40 -20 2.17649673907007 -0.8476238615 0.1154508543 1.606035578 --35 -20 2.13912796398297 -0.6758061856 0.08881198862 1.679225260 --30 -20 2.09963321615621 -0.5012541131 0.06879445016 1.734222995 --25 -20 2.05862078547118 -0.3262193117 0.05510551636 1.771833032 --20 -20 2.01660546721220 -0.1526049421 0.04739505791 1.793017342 --15 -20 1.97401224793091 0.01800763033 0.04528305866 1.798820012 --10 -20 1.93118520332444 0.1843198519 0.04838005500 1.790311085 --5 -20 1.88840039754019 0.3452719879 0.05630070747 1.768549271 -0 -20 1.84587644838933 0.5000000000 0.06867307256 1.734556477 -5 -20 1.80378644662535 0.6477950818 0.08514307607 1.689305515 -10 -20 1.76227129379136 0.7880687270 0.1053749368 1.633718934 -15 -20 1.72144642496063 0.9203236543 0.1290510916 1.568669233 -20 -20 1.68141049423276 1.044130627 0.1558693725 1.494986612 -25 -20 1.64225325911007 1.159111851 0.1855390196 1.413469927 -30 -20 1.60406269018775 1.264930919 0.2177761218 1.324899217 -35 -20 1.56692928030488 1.361287951 0.2522996254 1.230046670 -40 -20 1.53094997922938 1.447919970 0.2888275473 1.129687029 -45 -20 1.49623277048491 1.524606853 0.3270736037 1.024606853 - --45 -15 2.16154397252768 -1.001725305 0.2976139172 1.501725305 --40 -15 2.12383452071264 -0.8372936765 0.2729627956 1.593724543 --35 -15 2.08366026443637 -0.6673498497 0.2532889430 1.667148361 --30 -15 2.04172039130163 -0.4944372178 0.2384800811 1.722415786 --25 -15 1.99862979279538 -0.3208013957 0.2283520069 1.760214273 --20 -15 1.95491783799600 -0.1483839342 0.2226698911 1.781420218 --15 -15 1.91102880212844 0.02116725892 0.2211672589 1.787028118 --10 -15 1.86732984602166 0.1864736048 0.2235604666 1.778096545 --5 -15 1.82411766140893 0.3463957766 0.2295604488 1.755704307 -0 -15 1.78163156320741 0.5000000000 0.2388798201 1.720923940 -5 -15 1.74006040168783 0.6465259793 0.2512387979 1.674799607 -10 -15 1.69955513122938 0.7853568666 0.2663673157 1.618339210 -15 -15 1.66023572781375 0.9159933244 0.2840066756 1.552508222 -20 -15 1.62219768744312 1.038031266 0.3039097993 1.478228753 -25 -15 1.58552185203313 1.151145377 0.3258395616 1.396385766 -30 -15 1.55027657913016 1.255075345 0.3495683130 1.307828861 -35 -15 1.51652715846752 1.349619192 0.3748752849 1.213381956 -40 -15 1.48433251057524 1.434624831 0.4015468016 1.113842500 -45 -15 1.45375652483370 1.509992389 0.4293733550 1.009992389 - --45 -10 2.11227654358919 -0.9821292002 0.4386606331 1.482129200 --40 -10 2.07139333451227 -0.8194833477 0.4227259956 1.572499020 --35 -10 2.02847862191015 -0.6515375615 0.4100186297 1.644566073 --30 -10 1.98422922241533 -0.4807457921 0.4004730861 1.698701541 --25 -10 1.93926266836155 -0.3092989782 0.3939761919 1.735547259 --20 -10 1.89411298945005 -0.1391110495 0.3903798413 1.755943177 --15 -10 1.84923402884614 0.02817752060 0.3895119091 1.760865465 --10 -10 1.80500065336985 0.1911862833 0.3911862833 1.751369617 --5 -10 1.76171739277767 0.3487715668 0.3952101912 1.728548902 -0 -10 1.71962614285123 0.5000000000 0.4013900540 1.693501158 -5 -10 1.67891692200141 0.6441207181 0.4095352695 1.647307345 -10 -10 1.63973518083892 0.7805387990 0.4194612010 1.591014591 -15 -10 1.60219025384248 0.9087905404 0.4309907857 1.525627067 -20 -10 1.56636116524663 1.028521125 0.4439556166 1.452099857 -25 -10 1.53230792053377 1.139467389 0.4581953633 1.371342240 -30 -10 1.50007026824328 1.241440347 0.4735587134 1.284212352 -35 -10 1.46968057089635 1.334316104 0.4899016627 1.191526881 -40 -10 1.44115862054267 1.418022072 0.5070883907 1.094056103 -45 -10 1.41452564300196 1.492535644 0.5249891866 0.9925356442 - --45 -5 2.06316719847709 -0.9560958413 0.5726081209 1.456095841 --40 -5 2.01919737732868 -0.7950099112 0.5649758835 1.543332714 --35 -5 1.97369709565430 -0.6291701009 0.5589138539 1.612622029 --30 -5 1.92735855143222 -0.4609250319 0.5543864076 1.664370977 --25 -5 1.88079258778887 -0.2923703148 0.5513354464 1.699243624 --20 -5 1.83452724531448 -0.1253355440 0.5496861395 1.718095287 --15 -5 1.78900781036874 0.03861527178 0.5493522862 1.721911248 --10 -5 1.74460058711215 0.1981715219 0.5502408987 1.711754360 --5 -5 1.70159978538379 0.3522558865 0.5522558865 1.688722945 -0 -5 1.66023525293727 0.5000000000 0.5553009634 1.653917557 -5 -5 1.62068107063964 0.6407182171 0.5592817829 1.608416581 -10 -5 1.58306434616637 0.7738815439 0.5641074092 1.553259421 -15 -5 1.54747201619239 0.8990926990 0.5696913898 1.489434230 -20 -5 1.51396041109688 1.016063885 0.5759521100 1.417873871 -25 -5 1.48256069372087 1.124596828 0.5828131155 1.339452219 -30 -5 1.45328420388429 1.224565322 0.5902031313 1.254983952 -35 -5 1.42612973831887 1.315901824 0.5980557103 1.165228564 -40 -5 1.40108441510339 1.398583875 0.6063092160 1.070890561 -45 -5 1.37813248447989 1.472627415 0.6149061273 0.9726274152 - --45 0 2.01410682765370 -0.9241885959 0.7000000000 1.424188596 --40 0 1.96722047801037 -0.7645049488 0.7000000000 1.506978316 --35 0 1.91937485764999 -0.6009081909 0.7000000000 1.572259838 --30 0 1.87124725177853 -0.4356236259 0.7000000000 1.620547657 --25 0 1.82342891077540 -0.2706143567 0.7000000000 1.652587821 --20 0 1.77642366234793 -0.1075726756 0.7000000000 1.669292207 --15 0 1.73064987577774 0.05207485174 0.7000000000 1.671679411 --10 0 1.68644564794101 0.2071517865 0.7000000000 1.660824749 --5 0 1.64407615015953 0.3567093220 0.7000000000 1.637819944 -0 0 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1.13550194798192 1.003836529 1.419553134 0.7195531343 +40 45 1.12732781542949 1.075245629 1.385551045 0.6855510448 +45 45 1.12143678543781 1.147461830 1.347461830 0.6474618300 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.77513523376178 1.524874805 -0.3248748051 1.024874805 -45 -40 1.70864657515743 1.539062843 -0.1718772482 1.039062843 -45 -35 1.64806000245075 1.544354651 -0.03126499899 1.044354651 -45 -30 1.59284288875161 1.542760444 0.09796197697 1.042760444 -45 -25 1.54242119865482 1.535802058 0.2169975682 1.035802058 -45 -20 1.49623282864184 1.524606893 0.3270735892 1.024606893 -45 -15 1.45375655649364 1.509992411 0.4293733491 1.009992411 -45 -10 1.41452567346961 1.492535666 0.5249891828 0.9925356656 -45 -5 1.37813250145748 1.472627427 0.6149061263 0.9726274272 -45 0 1.34422854423283 1.450513119 0.7000000000 0.9505131191 -45 5 1.31252283247547 1.426322908 0.7810427532 0.9263229075 -45 10 1.28277968583137 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1.237561876 1.437561876 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12132992986752 1.147400137 1.347400137 0.6474001369 -40 45 1.12722699832854 1.075194185 1.385489736 0.6854897358 -35 45 1.13540604135168 1.003793974 1.419492359 0.7194923595 -30 45 1.14557682725411 0.9329873418 1.449956075 0.7499560750 -25 45 1.15753680237379 0.8624775716 1.477335661 0.7773356608 -20 45 1.17116031547863 0.7919041773 1.502000136 0.8020001359 -15 45 1.18638980216428 0.7208545148 1.524240270 0.8242402702 -10 45 1.20322717643226 0.6488681155 1.544273037 0.8442730371 -5 45 1.22173016987660 0.5754366889 1.562245300 0.8622452998 -0 45 1.24201036329882 0.5000000000 1.578233950 0.8782339502 --5 45 1.26423342504010 0.4219389142 1.592242293 0.8922422933 --10 45 1.28862142693451 0.3405665636 1.604191949 0.9041919490 --15 45 1.31545704045459 0.2551187427 1.613909294 0.9139092939 --20 45 1.34508796825072 0.1647454737 1.621104241 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0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.55489581057595 -0.5994773717 1.799477372 1.346471444e-16 --90 40 1.62480392423704 -0.7446720173 1.744403831 1.524283602e-16 --90 35 1.69849676730854 -0.8913270992 1.674217723 1.703884279e-16 --90 30 1.77545096989670 -1.037585643 1.587725485 1.882999336e-16 --90 25 1.85502320112448 -1.181221972 1.483966681 2.058903107e-16 --90 20 1.93645873212601 -1.319675981 1.362307893 2.228460366e-16 --90 15 2.01890626207323 -1.450113699 1.222531391 2.388200500e-16 --90 10 2.10143665319703 -1.569511109 1.064910645 2.534420155e-16 --90 5 2.18306532031697 -1.674758098 0.8902666795 2.663310543e-16 --90 -2.84217e-14 2.26277667331596 -1.762776673 0.7000000000 2.771102210e-16 --90 -5 2.33954890196127 -1.830646212 0.4960948778 2.854218424e-16 --90 -10 2.41237774609868 -1.875728308 0.2810950005 2.909428067e-16 --90 -15 2.48029825630940 -1.895784143 0.05805157373 2.933989382e-16 --90 -20 2.54240395145988 -1.889078232 -0.1695533639 2.925777010e-16 --90 -25 2.59786320478490 -1.854463652 -0.3979044318 2.883386375e-16 --90 -30 2.64593298690482 -1.791445183 -0.6229664935 2.806211009e-16 --90 -35 2.68597005900954 -1.700217865 -0.8406091346 2.694489765e-16 --90 -40 2.71743969188986 -1.581679575 -1.046736564 2.549322229e-16 --90 -45 2.73992221759903 -1.437417580 -1.237417580 2.372652238e-16 - --85 45 1.55484299418656 -0.5973421928 1.797342193 0.09600500188 --85 40 1.62456234358773 -0.7417014003 1.741911187 0.1086347960 --85 35 1.69799442560952 -0.8873573719 1.671438090 0.1213780423 --85 30 1.77461525143052 -1.032469461 1.584771656 0.1340737050 --85 25 1.85378671298415 -1.174844569 1.480992849 0.1465299130 --85 20 1.93476544806437 -1.311971671 1.359503753 0.1585269798 --85 15 2.01671798031775 -1.441081170 1.220111132 0.1698225973 --85 10 2.09873810471209 -1.559224403 1.063096822 0.1801587909 --85 5 2.17986770797063 -1.663371579 0.8892704882 0.1892704882 --85 -2.84217e-14 2.25911925666554 -1.750522626 0.7000000000 0.1968952168 --85 -5 2.33549835093749 -1.817824489 0.4972166332 0.2027833668 --85 -10 2.40802527302919 -1.862688509 0.2833942688 0.2067084600 --85 -15 2.47575472957556 -1.882901791 0.06150338952 0.2084768930 --85 -20 2.53779333533203 -1.876727181 -0.1650579489 0.2079366846 --85 -25 2.59331480006156 -1.842987561 -0.3925530428 0.2049848504 --85 -30 2.64157320001900 -1.781131223 -0.6170117255 0.1995731220 --85 -35 2.68191440272111 -1.691275579 -0.8343476785 0.1917117718 --85 -40 2.71378552817648 -1.574227132 -1.040483221 0.1814713596 --85 -45 2.73674273506235 -1.431476866 -1.231476866 0.1689823297 - --80 45 1.55468461259730 -0.5908815270 1.790881527 0.1923518460 --80 40 1.62383651183459 -0.7327360917 1.734388400 0.2173646331 --80 35 1.69648788365303 -0.8754083414 1.663071289 0.2425216001 --80 30 1.77211408230053 -1.017109459 1.575903555 0.2675073304 --80 25 1.85009355107866 -1.155745168 1.472086652 0.2919525463 --80 20 1.92971682708056 -1.288949822 1.351124486 0.3154401208 --80 15 2.01020299018584 -1.414142271 1.212892876 0.3375149273 --80 10 2.09071267048887 -1.528592423 1.057695577 0.3576955770 --80 5 2.17036444703863 -1.629502210 0.8863073023 0.3754886951 --80 -2.84217e-14 2.24825197639796 -1.714095977 0.7000000000 0.3904048586 --80 -5 2.32346030797259 -1.779715680 0.5005507220 0.4019753827 --80 -10 2.39508131338021 -1.823917520 0.2902306402 0.4097693598 --80 -15 2.46222782344157 -1.844566385 0.07177533055 0.4134103117 --80 -20 2.52404637176023 -1.839924825 -0.1516629866 0.4125918794 --80 -25 2.57972855009188 -1.808733566 -0.3765801423 0.4070920189 --80 -30 2.62852262839080 -1.750282069 -0.5992009583 0.3967854430 --80 -35 2.66974540962224 -1.664465860 -0.8155753113 0.3816537299 --80 -40 2.70279326209990 -1.551826510 -1.021686868 0.3617923734 --80 -45 2.72715314110018 -1.413572025 -1.213572025 0.3374143776 - --75 45 1.55443011395511 -0.5799350220 1.779935022 0.2893677170 --75 40 1.62263300766770 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--70 -20 2.47027790012071 -1.696389520 -0.09942040829 0.7994204083 --70 -25 2.52623704483954 -1.674305377 -0.3138952482 0.7913824373 --70 -30 2.57674118082785 -1.628297349 -0.5287730476 0.7746368848 --70 -35 2.62104218475929 -1.557530133 -0.7406981095 0.7488797246 --70 -40 2.65838713520912 -1.461622199 -0.9459964641 0.7139720915 --70 -45 2.68803479591273 -1.340742248 -1.140742248 0.6699753871 - --65 45 1.55369139221958 -0.5433704764 1.743370476 0.4865316435 --65 40 1.61883089682530 -0.6678250439 1.679921564 0.5445657614 --65 35 1.68607909143911 -0.7902322794 1.603430368 0.6016451927 --65 30 1.75495348081421 -0.9092597566 1.513636500 0.6571486168 --65 25 1.82497575857915 -1.023521024 1.410429521 0.7104295209 --65 20 1.89567938314371 -1.131591098 1.293850594 0.7608234242 --65 15 1.96660556747104 -1.232010201 1.164090735 0.8076496209 --65 10 2.03730854693277 -1.323293627 1.021495860 0.8502157816 --65 5 2.10734445091941 -1.403926911 0.8665720209 0.8878156990 --65 -2.84217e-14 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1.192723385 +-50 10 1.94969440288581 -0.9801112308 0.9609835444 1.241960788 +-50 5 2.00470635464697 -1.032256794 0.8340550991 1.285716111 +-50 -2.84217e-14 2.05931165388843 -1.077524249 0.7000000000 1.323700016 +-50 -5 2.11354350125333 -1.115444268 0.5586669400 1.355518689 +-50 -10 2.16741232159203 -1.145391870 0.4098730195 1.380647711 +-50 -15 2.22088750385874 -1.166553062 0.2534484530 1.398404059 +-50 -20 2.27387734667021 -1.177892668 0.08929701266 1.407919119 +-50 -25 2.32620503004268 -1.178124934 -0.08252250791 1.408114013 +-50 -30 2.37757663076537 -1.165689616 -0.2616863484 1.397679543 +-50 -35 2.42754388037103 -1.138744665 -0.4474613674 1.375070044 +-50 -40 2.47546255682128 -1.095189254 -0.6385227145 1.338522715 +-50 -45 2.52044335155544 -1.032733025 -0.8327330252 1.286115716 + +-45 45 1.55249771133963 -0.3963349716 1.596334972 0.8963349716 +-45 40 1.60662722191175 -0.4770227927 1.519819465 0.9770227927 +-45 35 1.66005975075932 -0.5519587385 1.436589439 1.051958739 +-45 30 1.71268047948000 -0.6212125626 1.347332375 1.121212563 +-45 25 1.76447080622086 -0.6849179026 1.252536292 1.184917903 +-45 20 1.81548123555935 -0.7432253538 1.152497023 1.243225354 +-45 15 1.86581294274832 -0.7962671807 1.047333744 1.296267181 +-45 10 1.91559892170512 -0.8441256573 0.9370056189 1.344125657 +-45 5 1.96498906439017 -0.8868058812 0.8213297931 1.386805881 +-45 -2.84217e-14 2.01413804398666 -0.9242106691 0.7000000000 1.424210669 +-45 -5 2.06319755943548 -0.9561172688 0.5726062462 1.456117269 +-45 -10 2.11230512176248 -0.9821492527 0.4386570973 1.482149253 +-45 -15 2.16157072382987 -1.001743891 0.2976089372 1.501743891 +-45 -20 2.21106024972400 -1.014114334 0.1489074513 1.514114334 +-45 -25 2.26077352119273 -1.018206484 -0.007951310182 1.518206484 +-45 -30 2.31061420571692 -1.012652071 -0.1733300806 1.512652071 +-45 -35 2.36034845600262 -0.9957227793 -0.3473163651 1.495722779 +-45 -40 2.40954912561357 -0.9652959839 -0.5295293197 1.465295984 +-45 -45 2.45752288117730 -0.9188514970 -0.7188514970 1.418851497 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.73992223127470 -1.437417590 -1.237417590 2.372652250e-16 --40 -90 2.75311805088193 -1.269670171 -1.409010784 2.582793306e-16 --35 -90 2.75685258596161 -1.081265682 -1.558281432 2.765597127e-16 --30 -90 2.75107653805023 -0.8755382690 -1.682502170 2.917723656e-16 --25 -90 2.73586650487640 -0.6562271466 -1.779537118 3.036557195e-16 --20 -90 2.71142434809482 -0.4273617442 -1.847905452 3.120284256e-16 --15 -90 2.67807509718404 -0.1931368394 -1.886821901 3.167943161e-16 --10 -90 2.63626330315766 0.04221768156 -1.896212540 3.179443377e-16 --5 -90 2.58654769630492 0.2745675144 -1.876705101 3.155553655e-16 --2.84217e-14 -90 2.52959396181648 0.5000000000 -1.829593962 3.097859148e-16 -5 -90 2.46616539405804 0.7149404767 -1.756780890 3.008688853e-16 -10 -90 2.39711116749741 0.9162539859 -1.660693663 2.891015938e-16 -15 -90 2.32335200215274 1.101327747 -1.544185702 2.748334837e-16 -20 -90 2.24586307105825 1.268130409 -1.410420955 2.584520268e-16 -25 -90 2.16565411978774 1.415244980 -1.262749193 2.403674516e-16 -30 -90 2.08374717120344 1.541873586 -1.104577985 2.209970654e-16 -35 -90 2.00115266763303 1.647814016 -0.9392482986 2.007500182e-16 -40 -90 1.91884517034272 1.733409900 -0.7699206799 1.800133656e-16 -45 -90 1.83773941616681 1.799478003 -0.5994780032 1.591401577e-16 - --45 -85 2.73674275642579 -1.431476881 -1.231476881 0.1689823310 --40 -85 2.74934460911999 -1.263288997 -1.401405997 0.1838492022 --35 -85 2.75252619582334 -1.074745329 -1.548969403 0.1967593274 --30 -85 2.74626838717616 -0.8692097070 -1.671540779 0.2074829332 --25 -85 2.73067459034032 -0.6504221672 -1.767088299 0.2158422581 --20 -85 2.70596818599553 -0.4223837324 -1.834228477 0.2217162625 --15 -85 2.67248889179383 -0.1892343085 -1.872257458 0.2250433672 --10 -85 2.63068807046943 0.04487199968 -1.881159154 0.2258221647 --5 -85 2.58112291017657 0.2758898894 -1.861590286 0.2241101106 --2.84217e-14 -85 2.52444935037790 0.5000000000 -1.814843058 0.2200202582 -5 -85 2.46141350998073 0.7137161512 -1.742786786 0.2137161512 -10 -85 2.39284129015950 0.9139787927 -1.647790401 0.2054050444 -15 -85 2.31962584136948 1.098231004 -1.532628501 0.1953296837 -20 -85 2.24271263761074 1.264473753 -1.400374373 0.1837589468 -25 -85 2.16308181916798 1.411297627 -1.254284068 0.1709777012 -30 -85 2.08172802609946 1.537889171 -1.097676777 0.1572763387 -35 -85 1.99963847655586 1.644011401 -0.9338176026 0.1429405185 -40 -85 1.91777036203706 1.729959812 -0.7658090245 0.1282416725 -45 -85 1.83702797133204 1.796496373 -0.5964963728 0.1134287349 - --45 -80 2.72715318521213 -1.413572056 -1.213572056 0.3374143831 --40 -80 2.73799360731667 -1.244109586 -1.378548865 0.3665042456 --35 -80 2.73954488678973 -1.055199451 -1.521054996 0.3916319214 --30 -80 2.73187550478844 -0.8502852269 -1.638762618 0.4123869510 --25 -80 2.71516575784394 -0.6331012086 -1.729943384 0.4284645801 --20 -80 2.68969960889637 -0.4075576533 -1.793494159 0.4396702965 --15 -80 2.65585708160108 -0.1776281712 -1.828942764 0.4459208419 --10 -80 2.61410699753902 0.05275800250 -1.836435409 0.4472419975 --5 -80 2.56500014527061 0.2798165842 -1.816707959 0.4437635157 --2.84217e-14 -80 2.50916290316393 0.5000000000 -1.771043081 0.4357115656 -5 -80 2.44729101444793 0.7100790895 -1.701214981 0.4233989876 -10 -80 2.38014295532000 0.9072135879 -1.609423018 0.4072135879 -15 -80 2.30853231208208 1.089010056 -1.498215456 0.3876046943 -20 -80 2.23331898465909 1.253565837 -1.370405121 0.3650682838 -25 -80 2.15539754991532 1.399497042 -1.228977632 0.3401308018 -30 -80 2.07568292432401 1.525948651 -1.076995189 0.3133321965 -35 -80 1.99509392073674 1.632585556 -0.9174998047 0.2852088569 -40 -80 1.91453579995144 1.719564659 -0.7534205643 0.2562772598 -45 -80 1.83488080326241 1.787487865 -0.5874878650 0.2270188479 - --45 -75 2.71100074826153 -1.383458527 -1.183458527 0.5046711913 --40 -75 2.71897334761284 -1.212028799 -1.340316472 0.5467011510 --35 -75 2.71790116539807 -1.022676979 -1.474608093 0.5826844823 --30 -75 2.70798911958748 -0.8189490478 -1.584486763 0.6121263834 --25 -75 2.68953417739119 -0.6045434299 -1.668701029 0.6346915280 --20 -75 2.66290825906739 -0.3832017898 -1.726576974 0.6501993406 --15 -75 2.62854657085217 -0.1586160073 -1.757988402 0.6586160073 --10 -75 2.58693773899825 0.06565077898 -1.763316841 0.6600437581 --5 -75 2.53861652373533 0.2862296782 -1.743405960 0.6547086536 --2.84217e-14 -75 2.48415928815198 0.5000000000 -1.699513613 0.6429477348 -5 -75 2.42418169338627 0.7041340612 -1.633262996 0.6251959356 -10 -75 2.35933763061267 0.8961349539 -1.546592962 0.6019727699 -15 -75 2.29031785248287 1.073868470 -1.441706288 0.5738684702 -20 -75 2.21785082610227 1.235590425 -1.321018084 0.5415301634 -25 -75 2.14269880530797 1.379967954 -1.187097368 0.5056462157 -30 -75 2.06565143632241 1.506093036 -1.042604256 0.4669294030 -35 -75 1.98751809146722 1.613487158 -0.8902244647 0.4260993611 -40 -75 1.90911928355031 1.702096077 -0.7326023185 0.3838646343 -45 -75 1.83126884682059 1.772267788 -0.5722677878 0.3409031263 - --45 -70 2.68803489890329 -1.340742318 -1.140742318 0.6699754128 --40 -70 2.69213732373602 -1.166893605 -1.286526442 0.7230364946 --35 -70 2.68758843218687 -0.9772763276 -1.409769243 0.7678932055 --30 -70 2.67476330784032 -0.7755169536 -1.509260170 0.8041049415 --25 -70 2.65409887069095 -0.5652120864 -1.584354691 0.8314371121 --20 -70 2.62606331089129 -0.3498349939 -1.634902456 0.8498349939 --15 -70 2.59114576339747 -0.1326771721 -1.661183351 0.8594004574 --10 -70 2.54984511161710 0.08319094348 -1.663841624 0.8603679898 --5 -70 2.50266422162998 0.2949416551 -1.643827607 0.8530834833 --2.84217e-14 -70 2.45010897907499 0.5000000000 -1.602349328 0.8379866242 -5 -70 2.39269120163723 0.6960475934 -1.540834246 0.8155969654 -10 -70 2.33093430388953 0.8810249194 -1.460899698 0.7865031693 -15 -70 2.26537551019703 1.053134213 -1.364324985 0.7513528483 -20 -70 2.19658121939580 1.210847899 -1.253038551 0.7108478990 -25 -70 2.12514813944931 1.352919802 -1.129092418 0.6657351960 -30 -70 2.05170401211594 1.478398067 -0.9946351629 0.6167967572 -35 -70 1.97691527770046 1.586643366 -0.8518875578 0.5648408780 -40 -70 1.90148473102219 1.677344376 -0.7031043902 0.5106882336 -45 -70 1.82614075711734 1.750524899 -0.5505248991 0.4551538405 - --45 -65 2.65791495867991 -1.284904010 -1.084904010 0.8323144091 --40 -65 2.65730553624394 -1.108537989 -1.216980928 0.8939028872 --35 -65 2.64862810717384 -0.9191807952 -1.326800224 0.9451124659 --30 -65 2.63244496873038 -0.7204615870 -1.413901477 0.9857284475 --25 -65 2.60932523927113 -0.5157623579 -1.478309406 1.015762358 --20 -65 2.57982216012244 -0.3081687951 -1.520425516 1.035401422 --15 -65 2.54445972107039 -0.1004560350 -1.540932430 1.044963954 --10 -65 2.50372521830908 0.1049016266 -1.540714222 1.044862201 --5 -65 2.45806834064097 0.3057055121 -1.520796159 1.035574256 --2.84217e-14 -65 2.40790548043156 0.5000000000 -1.482303487 1.017624829 -5 -65 2.35362799138815 0.6860391502 -1.426437218 0.9915739591 -10 -65 2.29561313741973 0.8622574114 -1.354463871 0.9580122366 -15 -65 2.23423626769820 1.027247745 -1.267715373 0.9175607476 -20 -65 2.16988596749862 1.179750006 -1.167597791 0.8708751525 -25 -65 2.10297192365282 1.318648319 -1.055596985 0.8186483186 -30 -65 2.03394278720333 1.442982312 -0.9332932744 0.7616171619 -35 -65 1.96329526383647 1.551967593 -0.8023654206 0.7005645010 -40 -65 1.89158652525650 1.645027828 -0.6645910276 0.6363192464 -45 -65 1.81942822834613 1.721824171 -0.5218241711 0.5697459679 - --45 -60 2.62023686726584 -1.215347683 -1.015347683 0.9903564467 --40 -60 2.61429690833676 -1.036837661 -1.131531803 1.057435380 --35 -60 2.60110046895622 -0.8487028278 -1.226147255 1.112061636 --30 -60 2.58138239139926 -0.6544293006 -1.299530202 1.154429301 --25 -60 2.55581623917269 -0.4570345452 -1.352367205 1.184934759 --20 -60 2.52500304569632 -0.2590830263 -1.385563474 1.204100633 --15 -60 2.48946518724806 -0.06273022316 -1.400137784 1.212515115 --10 -60 2.44964706035202 0.1302165013 -1.397146433 1.210788058 --5 -60 2.40592153063426 0.3182305638 -1.377634162 1.199522643 --2.84217e-14 -60 2.35860042575215 0.5000000000 -1.342607886 1.179300213 -5 -60 2.30794763311159 0.6743674241 -1.293028778 1.150675701 -10 -60 2.25419430951685 0.8402791659 -1.229819047 1.114181547 -15 -60 2.19755411454528 0.9967452944 -1.153878677 1.070337353 -20 -60 2.13823787305806 1.142811136 -1.066109080 1.019663553 -25 -60 2.07647052759823 1.277541827 -0.9674438281 0.9626991430 -30 -60 2.01251532388872 1.400024214 -0.8588876667 0.9000242140 -35 -60 1.94668978064150 1.509382776 -0.7415479996 0.8322781256 -40 -60 1.87937814703977 1.604809139 -0.6166602600 0.7601741555 -45 -60 1.81104965095292 1.685610302 -0.4856103018 0.6845124269 - --45 -55 2.57455508664554 -1.131462795 -0.9314627952 1.142362548 --40 -55 2.56295811420673 -0.9517747567 -1.030157782 1.211469521 --35 -55 2.54517168357390 -0.7663318769 -1.108509346 1.266331877 --30 -55 2.52205047393338 -0.5782649922 -1.167609751 1.307714426 --25 -55 2.49431911760072 -0.3900502436 -1.208718907 1.336499367 --20 -55 2.46256943914097 -0.2036011607 -1.233128301 1.353591009 --15 -55 2.42727570964332 -0.02037796966 -1.242077022 1.359856971 --10 -55 2.38880469591968 0.1585081787 -1.236696357 1.356089389 --5 -55 2.34743081274580 0.3321981791 -1.217983589 1.342986567 --2.84217e-14 -55 2.30335238016053 0.5000000000 -1.186795811 1.321148650 -5 -55 2.25670738317065 0.6613166216 -1.143857422 1.291082866 -10 -55 2.20759183970211 0.8155865187 -1.089780086 1.253217508 -15 -55 2.15606850758528 0.9622344911 -1.025082606 1.207915845 -20 -55 2.10218895259080 1.100633860 -0.9502279670 1.155502062 -25 -55 2.04601215965540 1.230080449 -0.8656625753 1.096288737 -30 -55 1.98762669007661 1.349780090 -0.7718622903 1.030609071 -35 -55 1.92716273955334 1.458845969 -0.6693739593 0.9588459689 -40 -55 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-45 2.38123608125752 -0.4000226406 -0.8588849414 1.558884941 +-25 -45 2.35105390250213 -0.2362222155 -0.8788336362 1.578833636 +-20 -45 2.31930165928739 -0.07807102399 -0.8882370853 1.588237085 +-15 -45 2.28622046048075 0.07440454265 -0.8883438703 1.588343870 +-10 -45 2.25193909761070 0.2213810191 -0.8801267612 1.580126761 +-5 -45 2.21649974120925 0.3631404826 -0.8643114420 1.564311442 +-2.84217e-14 -45 2.17987728653917 0.5000000000 -0.8414060115 1.541406011 +5 -45 2.14199439431374 0.6322591262 -0.8117287304 1.511728730 +10 -45 2.10273423359800 0.7601587538 -0.7754336108 1.475433611 +15 -45 2.06194646587580 0.8838453309 -0.7325302772 1.432530277 +20 -45 2.01945573440048 1.003336355 -0.6829052709 1.382905271 +25 -45 1.97507368348496 1.118485659 -0.6263467767 1.326346777 +30 -45 1.92861077625198 1.228946356 -0.5625721240 1.262572124 +35 -45 1.87989034665985 1.334131045 -0.4912625896 1.191262590 +40 -45 1.82877322444243 1.433174707 -0.4121143092 1.112114309 +45 -45 1.77519492336661 1.524909267 -0.3249092669 1.024909267 diff --git a/test/Kerr-definition-expansion-product.par b/test/Kerr-definition-expansion-product.par index 264aee0..f3f3605 100644 --- a/test/Kerr-definition-expansion-product.par +++ b/test/Kerr-definition-expansion-product.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-definition-expansion-product/BH_diagnostics.ah1.gp b/test/Kerr-definition-expansion-product/BH_diagnostics.ah1.gp index 72b055b..14f18e3 100644 --- a/test/Kerr-definition-expansion-product/BH_diagnostics.ah1.gp +++ b/test/Kerr-definition-expansion-product/BH_diagnostics.ah1.gp @@ -40,4 +40,4 @@ # column 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000022 -0.000006 0.000000 1.080590803 2.800963925 2.037864268 1.255406752 5.816559309e-06 0.000000000 1.255422159 0.000000000 1.136210183 -1.940126799 1.940522169 -1.940425027 1.940112585 -1.845807461 1.845807461 12.80996976 11.13382854 11.51597369 0.8691533821 0.8989852365 47.30831433 0.9701386547 1.940277309 0.01396882847 -1.432096456 -0.02000000000 0.7230326422 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6969066757 0.7348831070 34.14119953 +0 0.000 0.000048 0.000017 0.000000 1.080531538 2.800829600 2.037784647 1.255306188 2.326092532e-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 47.30477931 0.9701024082 1.940204816 0.01396799474 -1.432182012 -0.02000000000 0.7230750032 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6969169191 0.7348563253 34.14075770 diff --git a/test/Kerr-definition-expansion-product/h.t0.ah1.gp b/test/Kerr-definition-expansion-product/h.t0.ah1.gp index 895d519..4983c15 100644 --- a/test/Kerr-definition-expansion-product/h.t0.ah1.gp +++ b/test/Kerr-definition-expansion-product/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.50565891113965 -0.9466428468 -0.7466428468 1.446642847 --40 -45 2.48361645620849 -0.7673239235 -0.8103378388 1.510337839 --35 -45 2.45821162276562 -0.5907394859 -0.8577374227 1.557737423 --30 -45 2.43024884547729 -0.4185477242 -0.8909713274 1.590971327 --25 -45 2.40030009664001 -0.2516434452 -0.9119045699 1.611904570 --20 -45 2.36875237943409 -0.09039629799 -0.9221004973 1.622100497 --15 -45 2.33584766746605 0.06516610121 -0.9228222031 1.622822203 --10 -45 2.30171750658212 0.2152222337 -0.9150549687 1.615054969 --5 -45 2.26640739082142 0.3600588956 -0.8995341429 1.599534143 -0 -45 2.22989395256495 0.5000000000 -0.8767731352 1.576773135 -5 -45 2.19209980570727 0.6353529242 -0.8470910032 1.547091003 -10 -45 2.15290889777569 0.7663665655 -0.8106398603 1.510639860 -15 -45 2.11216994338480 0.8931947722 -0.7674228669 1.467422867 -20 -45 2.06970875059289 1.015861597 -0.7173180881 1.417318088 -25 -45 2.02533557881259 1.134224951 -0.6600997974 1.360099797 -30 -45 1.97885727701398 1.247937748 -0.5954661802 1.295466180 -35 -45 1.93009497918597 1.356407474 -0.5230766264 1.223076626 -40 -45 1.87890727924917 1.458756792 -0.4426018508 1.142601851 -45 -45 1.82522243485476 1.553792664 -0.3537926641 1.053792664 - --45 -40 2.45810249171996 -0.9948222764 -0.5543048208 1.494822276 --40 -40 2.43451614769449 -0.8163823277 -0.6163823277 1.568803368 --35 -40 2.40742215165678 -0.6379501464 -0.6636721915 1.625161233 --30 -40 2.37760466977041 -0.4616976897 -0.6976960257 1.665709260 --25 -40 2.34565080881529 -0.2890639604 -0.7198850620 1.692153124 --20 -40 2.31198300696805 -0.1209371544 -0.7315130419 1.706010811 --15 -40 2.27689001289302 0.04218808657 -0.7336666001 1.708577321 --10 -40 2.24055556399856 0.2000821607 -0.7272401610 1.700918589 --5 -40 2.20307944096590 0.3526796545 -0.7129424608 1.683879254 -0 -40 2.16449627960033 0.5000000000 -0.6913113897 1.658100347 -5 -40 2.12479114675421 0.6420851922 -0.6627323535 1.624041178 -10 -40 2.08391636835858 0.7789503213 -0.6274605553 1.582005886 -15 -40 2.04179732991263 0.9105420715 -0.5856381377 1.532163869 -20 -40 1.99834594432809 1.036702580 -0.5373180395 1.474578219 -25 -40 1.95347325088666 1.157137599 -0.4824895153 1.409236128 -30 -40 1.90710161259045 1.271387791 -0.4211066240 1.336082847 -35 -40 1.85918117832588 1.378805361 -0.3531238446 1.255064125 -40 -40 1.80971122712903 1.478540183 -0.2785401834 1.166178779 -45 -40 1.75876438139268 1.569540503 -0.1974510419 1.069540503 - --45 -35 2.40927466497828 -1.026726695 -0.3690255408 1.526726695 --40 -35 2.38360943999109 -0.8501836006 -0.4266942565 1.609086157 --35 -35 2.35444146626022 -0.6714354282 -0.4714354282 1.672983172 --30 -35 2.32252416018823 -0.4929604984 -0.5042575594 1.719858033 --25 -35 2.28844833611664 -0.3165891785 -0.5261902381 1.751181144 --20 -35 2.25266382824238 -0.1436272858 -0.5382130045 1.768351434 --15 -35 2.21550015225779 0.02502409741 -0.5412118299 1.772634201 --10 -35 2.17718853257438 0.1887597892 -0.5359579966 1.765130949 --5 -35 2.13788140250845 0.3471774375 -0.5231014396 1.746769883 -0 -35 2.09766977914373 0.5000000000 -0.5031739566 1.718310488 -5 -35 2.05659929904529 0.6470122593 -0.4765992072 1.680357813 -10 -35 2.01468842218895 0.7880099908 -0.4437090674 1.633385825 -15 -35 1.97193428549179 0.9227583853 -0.4047564860 1.577755773 -20 -35 1.92832615238546 1.050958076 -0.3599355700 1.513744872 -25 -35 1.88385695059590 1.172218453 -0.3094031691 1.441577124 -30 -35 1.83853769209512 1.286039316 -0.2533045778 1.361460033 -35 -35 1.79240920169246 1.391800315 -0.1918003148 1.273622842 -40 -35 1.74555748584166 1.488762274 -0.1250972499 1.178360993 -45 -35 1.69812870165427 1.576082548 -0.05348111201 1.076082548 - --45 -30 2.35986722350636 -1.044895740 -0.1919459715 1.544895740 --40 -30 2.33168271035727 -0.8707003940 -0.2431230953 1.633537119 --35 -30 2.30011640241491 -0.6926388593 -0.2833803964 1.703264810 --30 -30 2.26589269975477 -0.5133380213 -0.3133380213 1.755152938 --25 -30 2.22960545046148 -0.3348837470 -0.3336959894 1.790413973 --20 -30 2.19172723956267 -0.1588914610 -0.3451710787 1.810289411 --15 -30 2.15262340721158 0.01341105049 -0.3484534715 1.815974682 --10 -30 2.11256903814480 0.1810997050 -0.3441803655 1.808573445 --5 -30 2.07176552907946 0.3434763365 -0.3329221595 1.789073660 -0 -30 2.03035638617656 0.5000000000 -0.3151781931 1.758340209 -5 -30 1.98844253829976 0.6502285401 -0.2913797347 1.717120070 -10 -30 1.94609866784238 0.7937709623 -0.2618989872 1.666057918 -15 -30 1.90338100143068 0.9302490435 -0.2270578457 1.605711290 -20 -30 1.86033899602313 1.059267347 -0.1871416480 1.536574408 -25 -30 1.81702457491431 1.180391360 -0.1424140761 1.459103981 -30 -30 1.77350497294510 1.293135536 -0.09313553559 1.373751045 -35 -30 1.72987083004996 1.396959463 -0.03958042330 1.280990869 -40 -30 1.68624685273253 1.491275192 0.01794392772 1.181355771 -45 -30 1.64279906193462 1.575464436 0.07908031830 1.075464436 - --45 -25 2.31030930006726 -1.051471886 -0.02346322202 1.551471886 --40 -25 2.27927559986875 -0.8797063758 -0.06673570713 1.644270030 --35 -25 2.24507319980376 -0.7029490891 -0.1011115877 1.717989344 --30 -25 2.20840583697637 -0.5238673646 -0.1269454758 1.773390296 --25 -25 2.16987202086182 -0.3446912969 -0.1446912969 1.811446332 --20 -25 2.12996487627451 -0.1672441125 -0.1548529804 1.833238132 --15 -25 2.08908199732471 0.007006582751 -0.1579484931 1.839876481 --10 -25 2.04753778495494 0.1768899229 -0.1544846782 1.832448306 --5 -25 2.00557681027661 0.3414720564 -0.1449414034 1.811982687 -0 -25 1.96338760596665 0.5000000000 -0.1297634572 1.779433476 -5 -25 1.92111651023254 0.6518519003 -0.1093586204 1.735675163 -10 -25 1.87888155676596 0.7964954147 -0.08410054955 1.681509055 -15 -25 1.83678041475877 0.9334538590 -0.05433276007 1.617671824 -20 -25 1.79490156530641 1.062280400 -0.02037664551 1.544852702 -25 -25 1.75333032948677 1.182539272 0.01746072783 1.463710193 -30 -25 1.71215988044743 1.293796410 0.05887560013 1.374895712 -35 -25 1.67149616497243 1.395616584 0.1035584467 1.279073039 -40 -25 1.63146448093723 1.487569009 0.1511843708 1.176938915 -45 -25 1.59221456876990 1.569240443 0.2014049928 1.069240443 - --45 -20 2.26083683176020 -1.048200893 0.1365009583 1.548200893 --40 -20 2.22673623088935 -0.8787307025 0.1019578628 1.643107268 --35 -20 2.18975765770676 -0.7036356133 0.07434615845 1.718969802 --30 -20 2.15059395016054 -0.5255558074 0.05347429906 1.776314764 --25 -20 2.10984894360907 -0.3467795304 0.03905751139 1.815924563 --20 -20 2.06803452485223 -0.1692481863 0.03075181374 1.838744280 --15 -20 2.02557593924896 0.005417381310 0.02818102583 1.845807461 --10 -20 1.98282022260610 0.1758793613 0.03095738194 1.838179486 --5 -20 1.94004651935656 0.3410403102 0.03869608711 1.816917568 -0 -20 1.89747765223448 0.5000000000 0.05102442143 1.783045748 -5 -20 1.85529220364752 0.6520152585 0.06758630189 1.737542355 -10 -20 1.81363641237229 0.7964650984 0.08804333357 1.681337123 -15 -20 1.77263073142092 0.9328212693 0.1120748887 1.615310968 -20 -20 1.73238077623808 1.060625405 0.1393745953 1.540305640 -25 -20 1.69298147323995 1.179471420 0.1696476298 1.457131162 -30 -20 1.65452683236080 1.288995803 0.2026052594 1.366580818 -35 -20 1.61711253303458 1.388871985 0.2379613516 1.269440753 -40 -20 1.58084121001466 1.478811177 0.2754280894 1.166501737 -45 -20 1.54582450097685 1.558566828 0.3147131838 1.058566828 - --45 -15 2.21154783060303 -1.036465315 0.2883053596 1.536465315 --40 -15 2.17426909025849 -0.8690503084 0.2628219691 1.631570623 --35 -15 2.13447442434576 -0.6958179752 0.2423950140 1.707805058 --30 -15 2.09285109722192 -0.5193408614 0.2269222598 1.765550162 --25 -15 2.05000829059250 -0.3419016229 0.2162274177 1.805463857 --20 -15 2.00647262332485 -0.1654830132 0.2100818167 1.828399552 --15 -15 1.96268961599540 0.008222980378 0.2082229804 1.835336823 --10 -15 1.91902911726922 0.1777932497 0.2103696655 1.827325285 --5 -15 1.87579307043391 0.3420443243 0.2162333719 1.805441635 -0 -15 1.83322502665519 0.5000000000 0.2255264491 1.770759399 -5 -15 1.79152056595845 0.6508593064 0.2379672327 1.724329762 -10 -15 1.75083748499039 0.7939672209 0.2532828889 1.667170955 -15 -15 1.71130231578634 0.9287887120 0.2712112880 1.600261259 -20 -15 1.67301910807823 1.054887111 0.2915007897 1.524539808 -25 -15 1.63607309881309 1.171905867 0.3139101917 1.440906781 -30 -15 1.60054117875601 1.279557144 0.3382062704 1.350232581 -35 -15 1.56649278980019 1.377611938 0.3641632699 1.253359740 -40 -15 1.53399521292961 1.465895449 0.3915611735 1.151109371 -45 -15 1.50311529616112 1.544284227 0.4201848846 1.044284227 - --45 -10 2.16244476480222 -1.017330929 0.4324536186 1.517330929 --40 -10 2.12197564858994 -0.8517044233 0.4159551132 1.610898603 --35 -10 2.07941984679615 -0.6804561477 0.4027363217 1.685866094 --30 -10 2.03546268979945 -0.5060689791 0.3927392002 1.742562588 --25 -10 1.99071485581874 -0.3307711611 0.3858568202 1.781594504 --20 -10 1.94570980377852 -0.1565208314 0.3819455959 1.803776160 --15 -10 1.90090219203659 0.01499465652 0.3808367770 1.810064584 --10 -10 1.85667129064764 0.1823460641 0.3823460641 1.801504992 --5 -10 1.81332698874890 0.3443413225 0.3862813590 1.779186825 -0 -10 1.77111783394698 0.5000000000 0.3924486157 1.744210574 -5 -10 1.73024030794134 0.6485263936 0.4006559538 1.697664447 -10 -10 1.69084825598009 0.7892836262 0.4107163738 1.640608970 -15 -10 1.65305895471806 0.9217694258 0.4224498841 1.574064926 -20 -10 1.61696087451943 1.045594464 0.4356843624 1.499008470 -25 -10 1.58261865333666 1.160463216 0.4502561179 1.416367938 -30 -10 1.55008160372827 1.266159470 0.4660093129 1.327027130 -35 -10 1.51938589713454 1.362533089 0.4827960326 1.231824911 -40 -10 1.49056013895080 1.449490978 0.5004755680 1.131559284 -45 -10 1.46362777351416 1.526989325 0.5189140731 1.026989325 - --45 -5 2.11346350110109 -0.9915928369 0.5695025362 1.491592837 --40 -5 2.06988222794228 -0.8275165817 0.5615865778 1.582072656 --35 -5 2.02471070649296 -0.6583554527 0.5552672388 1.654303031 --30 -5 1.97863076671655 -0.4864878702 0.5505127477 1.708647112 --25 -5 1.93224745505677 -0.3140480424 0.5472682701 1.745731661 --20 -5 1.88608783420115 -0.1429110088 0.5454614701 1.766383479 --15 -5 1.84060047880046 0.02530953372 0.5450078013 1.771568938 --10 -5 1.79615732553737 0.1892518345 0.5458151919 1.762340421 --5 -5 1.75305889999755 0.3477878669 0.5477878669 1.739792643 -0 -5 1.71154190882476 0.5000000000 0.5508292937 1.705028975 -5 -5 1.67178819756944 0.6451556749 0.5548443251 1.659136956 -10 -5 1.63393445988832 0.7826824403 0.5597406432 1.603171784 -15 -5 1.59807654005633 0.9121435948 0.5654301140 1.538140836 -20 -5 1.56427910439227 1.033216025 0.5718291965 1.464998987 -25 -5 1.53258008126817 1.145669793 0.5788594047 1.384643340 -30 -5 1.50299895529210 1.249351654 0.5864471392 1.297915138 -35 -5 1.47553999493776 1.344169882 0.5945237080 1.205599535 -40 -5 1.45019713671995 1.430082263 0.6030250389 1.108428878 -45 -5 1.42695849928199 1.507086744 0.6118913267 1.007086744 - --45 0 2.06449611937769 -0.9598192057 0.7000000000 1.459819206 --40 0 2.01796500241125 -0.7971229003 0.7000000000 1.545850877 --35 0 1.97040895973759 -0.6301801493 0.7000000000 1.614064527 --30 0 1.92249783559973 -0.4612489178 0.7000000000 1.664931964 --25 0 1.87481927019797 -0.2923328610 0.7000000000 1.699163304 --20 0 1.82787666453771 -0.1251706388 0.7000000000 1.717642213 --15 0 1.78209281520077 0.03876043929 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1.339464612 1.404394446 0.000000000 +90 45 1.08705603747876 1.268664696 1.468664696 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.16702977551773 1.173784955 1.373784955 0.6737849550 -40 45 1.17303933176977 1.098571009 1.413349150 0.7133491505 -35 45 1.18136286955934 1.024185598 1.448614617 0.7486146167 -30 45 1.19170319692492 0.9504214708 1.480152872 0.7801528723 -25 45 1.20385355474477 0.8769814594 1.508439349 0.8084393485 -20 45 1.21768478281449 0.8035001016 1.533859676 0.8338596760 -15 45 1.23313509471594 0.7295564683 1.556716403 0.8567164028 -10 45 1.25020463126678 0.6546803556 1.577235888 0.8772358884 -5 45 1.26894915461492 0.5783522622 1.595570455 0.8955704551 -0 45 1.28947879418357 0.5000000000 1.611799200 0.9117991996 --5 45 1.31195835734510 0.4189921008 1.625924525 0.9259245249 --10 45 1.33660739284732 0.3346295466 1.637862446 0.9378624461 --15 45 1.36370611839781 0.2461368494 1.647430176 0.9474301763 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1.60395247807309 -0.6341656739 1.834165674 0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.60397195102096 -0.6341794434 1.834179443 1.388969225e-16 --90 40 1.67401989763031 -0.7823736403 1.776039249 1.570454774e-16 --90 35 1.74776492450810 -0.9316852108 1.702476777 1.753308711e-16 --90 30 1.82467815540229 -1.080217636 1.612339078 1.935208470e-16 --90 25 1.90411889454068 -1.225717782 1.504715417 2.113394757e-16 --90 20 1.98533169481690 -1.365601543 1.379023431 2.284702959e-16 --90 15 2.06747603973717 -1.497028502 1.235102174 2.445654563e-16 --90 10 2.14963692154807 -1.616979107 1.073280534 2.592551687e-16 --90 5 2.23083913552974 -1.722350119 0.8944304418 2.721593960e-16 --90 -2.84217e-14 2.31008687144812 -1.810086871 0.7000000000 2.829040493e-16 --90 -5 2.38638176326976 -1.877300860 0.4920131249 2.911353889e-16 --90 -10 2.45874039171754 -1.921386600 0.2730442116 2.965343350e-16 --90 -15 2.52620515191104 -1.940126799 0.04616999485 2.988293474e-16 --90 -20 2.58788986600640 -1.931821010 -0.1851104629 2.978121817e-16 --90 -25 2.64297859318514 -1.895352080 -0.4169710189 2.933460258e-16 --90 -30 2.69072951147886 -1.830240112 -0.6453647557 2.853721094e-16 --90 -35 2.73050763466035 -1.736700911 -0.8661548385 2.739168611e-16 --90 -40 2.76178091819543 -1.615646925 -1.075238555 2.590920235e-16 --90 -45 2.78412888528128 -1.468676414 -1.268676414 2.410933270e-16 - --85 45 1.60392554624861 -0.6319825748 1.831982575 0.09903564261 --85 40 1.67378698777759 -0.7793252625 1.773481356 0.1119264574 --85 35 1.74727443701525 -0.9276219253 1.699631634 0.1249007343 --85 30 1.82385838996537 -1.074993386 1.609322855 0.1377940664 --85 25 1.90290369158469 -1.219220389 1.501685633 0.1504122941 --85 20 1.98366669573866 -1.357769302 1.376172728 0.1625337534 --85 15 2.06532463455790 -1.487864836 1.232646778 0.1739156378 --85 10 2.14698359590750 -1.606561559 1.071443639 0.1843002554 --85 5 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1.233959214 +-55 -5 2.21020904447389 -1.305865653 0.5420072276 1.264480743 +-55 -10 2.26816943626999 -1.338892687 0.3757536047 1.287606521 +-55 -15 2.32503372829483 -1.360272634 0.2015414499 1.302576922 +-55 -20 2.38054729381061 -1.368740541 0.01983406743 1.308506214 +-55 -25 2.43436329762214 -1.362839129 -0.1686561518 1.304374001 +-55 -30 2.48601822492173 -1.340927422 -0.3628599426 1.289031258 +-55 -35 2.53490700062590 -1.301215624 -0.5612247577 1.261224758 +-55 -40 2.58025750885387 -1.241835960 -0.7615739119 1.219646670 +-55 -45 2.62110857435824 -1.160963148 -0.9609631479 1.163018917 + +-50 45 1.60198326820055 -0.4741987097 1.674198710 0.8174497780 +-50 40 1.65972638879195 -0.5695284776 1.597440951 0.8974409511 +-50 35 1.71743508007265 -0.6593766017 1.511804236 0.9728324789 +-50 30 1.77486168039727 -0.7434378069 1.417899153 1.043368205 +-50 25 1.83185331456385 -0.8214994733 1.316225325 1.108869721 +-50 20 1.88833566715477 -0.8934017042 1.207156745 1.169202856 +-50 15 1.94428233136043 -0.9589886550 1.090934832 1.224236842 +-50 10 1.99970863552169 -1.018079554 0.9676783843 1.273819994 +-50 5 2.05465035106188 -1.070430478 0.8373948637 1.317747635 +-50 -2.84217e-14 2.10915119646474 -1.115703554 0.7000000000 1.355736256 +-50 -5 2.16324468165896 -1.153432360 0.5553434126 1.387394484 +-50 -10 2.21693748396454 -1.182988915 0.4032436460 1.412195378 +-50 -15 2.27019984155585 -1.203557019 0.2435332724 1.429454067 +-50 -20 2.32294115923238 -1.214096824 0.07611977733 1.438298013 +-50 -25 2.37498295410203 -1.213313341 -0.09893113182 1.437640593 +-50 -30 2.42603024426959 -1.199635391 -0.2812849506 1.426163430 +-50 -35 2.47563486763869 -1.171209103 -0.4701932119 1.402310942 +-50 -40 2.52315477440438 -1.125922142 -0.6643106694 1.364310669 +-50 -45 2.56770707479734 -1.061475060 -0.8614750596 1.310233147 + +-45 45 1.60198621418500 -0.4249071720 1.624907172 0.9249071720 +-45 40 1.65636844689024 -0.5072714465 1.545201099 1.007271446 +-45 35 1.71000390329109 -0.5836077124 1.458750289 1.083607712 +-45 30 1.76278197816890 -0.6540116927 1.366268961 1.154011693 +-45 25 1.81468786242868 -0.7186408119 1.268261543 1.218640812 +-45 20 1.86577544388289 -0.7776663790 1.165032531 1.277666379 +-45 15 1.91614858955552 -0.8312376997 1.056704067 1.331237700 +-45 10 1.96594344192095 -0.8794510903 0.9432344458 1.379451090 +-45 5 2.01530938489453 -0.9223198277 0.8244368608 1.422319828 +-45 -2.84217e-14 2.06440229555101 -0.9597528623 0.7000000000 1.459752862 +-45 -5 2.11337352750463 -0.9915293374 0.5695080917 1.491529337 +-45 -10 2.16235694415294 -1.017269307 0.4324644841 1.517269307 +-45 -15 2.21146358695503 -1.036406787 0.2883210421 1.536406787 +-45 -20 2.26075644760485 -1.048145847 0.1365209935 1.548145847 +-45 -25 2.31023112411905 -1.051419388 -0.02343874157 1.551419388 +-45 -30 2.35978897446553 -1.044844514 -0.1919163961 1.544844514 +-45 -35 2.40919435066540 -1.026675801 -0.3689899044 1.526675801 +-45 -40 2.45801651295305 -0.9947699910 -0.5542609481 1.494769991 +-45 -45 2.50556118646444 -0.9465864255 -0.7465864255 1.446586425 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.78412889772766 -1.468676423 -1.268676423 2.410933280e-16 --40 -90 2.79724996664877 -1.298037620 -1.442817793 2.624194951e-16 --35 -90 2.80096392459873 -1.106566906 -1.594415325 2.809848383e-16 --30 -90 2.79522175081345 -0.8976108754 -1.720733045 2.964542976e-16 --25 -90 2.78010349810424 -0.6749225078 -1.819629449 3.085656140e-16 --20 -90 2.75581639798819 -0.4425447194 -1.889620333 3.171370252e-16 --15 -90 2.72268819708285 -0.2046835593 -1.929914846 3.220716799e-16 --10 -90 2.68115783906838 0.03442182721 -1.940425027 3.233588058e-16 --5 -90 2.63178530093022 0.2706247973 -1.921770563 3.210742928e-16 --2.84217e-14 -90 2.57522833654800 0.5000000000 -1.875228337 3.153745139e-16 -5 -90 2.51222849932173 0.7189551408 -1.802668711 3.064885227e-16 -10 -90 2.44363099115414 0.9243320685 -1.706506746 2.947120783e-16 -15 -90 2.37034242044631 1.113489762 -1.589574961 2.803920647e-16 -20 -90 2.29332288344622 1.284362621 -1.455018591 2.639136619e-16 -25 -90 2.21356415754936 1.435492637 -1.306170433 2.456850199e-16 -30 -90 2.13206292532540 1.566031463 -1.146420656 2.261213146e-16 -35 -90 2.04981674001854 1.675726581 -0.9791115730 2.056318613e-16 -40 -90 1.96778788123989 1.764869669 -0.8074129717 1.846048471e-16 -45 -90 1.88687782808241 1.834224108 -0.6342241075 1.633953283e-16 - --45 -85 2.78100269531630 -1.462713668 -1.262713668 0.1717151957 --40 -85 2.79353970738165 -1.291633472 -1.435185627 0.1868045369 --35 -85 2.79671004726199 -1.100023313 -1.585070105 0.1999177296 --30 -85 2.79049502196211 -0.8912598234 -1.709732701 0.2108242934 --25 -85 2.77500032623528 -0.6690964205 -1.807135365 0.2193459223 --20 -85 2.75045270292357 -0.4375471755 -1.875889694 0.2253611468 --15 -85 2.71719629960140 -0.2007643393 -1.915288118 0.2288080622 --10 -85 2.67567654441065 0.03708866937 -1.925300613 0.2296840420 --5 -85 2.62645140731565 0.2719541704 -1.906575760 0.2280458296 --2.84217e-14 -85 2.57016831671922 0.5000000000 -1.860388050 0.2240049286 -5 -85 2.50755511420541 0.7177224695 -1.788579214 0.2177224695 -10 -85 2.43943190985122 0.9220393058 -1.693503842 0.2094044523 -15 -85 2.36667806384407 1.110365762 -1.577916035 0.1992918295 -20 -85 2.29022465277357 1.280669179 -1.444870942 0.1876518922 -25 -85 2.21103369101044 1.431499557 -1.297607246 0.1747679882 -30 -85 2.13007687458631 1.561994504 -1.139428438 0.1609291357 -35 -85 2.04832788635529 1.671867057 -0.9735996011 0.1464209924 -40 -85 1.96673164585988 1.761361075 -0.8032315924 0.1315157230 -45 -85 1.88617956622845 1.831185482 -0.6311854824 0.1164636388 - --45 -80 2.77157097616393 -1.444738858 -1.244738858 0.3429099312 --40 -80 2.78237468978734 -1.272380460 -1.412240780 0.3724450393 --35 -80 2.78394127967265 -1.080402632 -1.557048868 0.3979786123 --30 -80 2.77633937733316 -0.8722624035 -1.676828204 0.4190989409 --25 -80 2.75974854736028 -0.6517066336 -1.769842846 0.4354999319 --20 -80 2.73445242266864 -0.4226581346 -1.834982391 0.4469857911 --15 -80 2.70083511019142 -0.1891040822 -1.871771446 0.4534726942 --10 -80 2.65936500726855 0.04501490603 -1.880348692 0.4549850940 --5 -80 2.61059009259667 0.2759030755 -1.861439568 0.4516509053 --2.84217e-14 -80 2.55512784971525 0.5000000000 -1.816309716 0.4436932948 -5 -80 2.49366014356560 0.7140594843 -1.746711101 0.4314211812 -10 -80 2.42693753637290 0.9152195731 -1.654827216 0.4152195731 -15 -80 2.35576330295305 1.101060799 -1.543189439 0.3955348210 -20 -80 2.28098263684834 1.269648492 -1.414591854 0.3728595970 -25 -80 2.20347275868797 1.419559934 -1.272002643 0.3477172720 -30 -80 2.12412875206561 1.549893990 -1.118469733 0.3206452776 -35 -80 2.04385781490469 1.660268104 -0.9570345797 0.2921799044 -40 -80 1.96355197590025 1.750788101 -0.7906312125 0.2628385011 -45 -80 1.88407168260918 1.822003818 -0.6220038183 0.2331049418 - --45 -75 2.75567707119121 -1.414497250 -1.214497250 0.5129879921 --40 -75 2.76365630905147 -1.240163873 -1.373846548 0.5556855077 --35 -75 2.76264046490376 -1.047741725 -1.510404259 0.5922760362 --30 -75 2.75283329241889 -0.8407907822 -1.622317757 0.6222631676 --25 -75 2.73452446669879 -0.6230201345 -1.708324450 0.6453085916 --20 -75 2.70808713704757 -0.3981861836 -1.767746258 0.6612306169 --15 -75 2.67395774805023 -0.1699943594 -1.800452990 0.6699943594 --10 -75 2.63262541887462 0.05797977559 -1.806821263 0.6717007329 --5 -75 2.58462165370426 0.2823557053 -1.787685672 0.6665733667 --2.84217e-14 -75 2.53051520000833 0.5000000000 -1.744289986 0.6549455277 -5 -75 2.47090992164184 0.7080689243 -1.678238687 0.6372471356 -10 -75 2.40645490593984 0.9040459877 -1.591458664 0.6139944986 -15 -75 2.33783037417996 1.085773341 -1.486135870 0.5857733410 -20 -75 2.26575365033674 1.251478265 -1.364669565 0.5532265426 -25 -75 2.19096959824031 1.399791903 -1.229609962 0.5170374311 -30 -75 2.11425203285169 1.529764368 -1.083604206 0.4779153066 -35 -75 2.03640095917518 1.640873296 -0.9293359236 0.4365792449 -40 -75 1.95822348559662 1.733015030 -0.7694500913 0.3937379653 -45 -75 1.88052334066633 1.806487179 -0.6064871795 0.3500721847 - --45 -70 2.73306833597113 -1.371580814 -1.171580814 0.6811997074 --40 -70 2.73723406148462 -1.194816201 -1.319803297 0.7351482791 --35 -70 2.73279498808828 -1.002124840 -1.445256596 0.7808095459 --30 -70 2.72011756745330 -0.7971450831 -1.546721189 0.8177396374 --25 -70 2.69963210533439 -0.5834866701 -1.623544662 0.8457010951 --20 -70 2.67180592417010 -0.3646380161 -1.675573425 0.8646380161 --15 -70 2.63712974738054 -0.1439050302 -1.703086288 0.8746518792 --10 -70 2.59610018800761 0.07562988235 -1.706722533 0.8759753641 --5 -70 2.54921580168289 0.2911274039 -1.687424698 0.8689515265 --2.84217e-14 -70 2.49697915411816 0.5000000000 -1.646392885 0.8540171682 -5 -70 2.43989395985197 0.6999151995 -1.585041186 0.8316869758 -10 -70 2.37847649466950 0.8887963779 -1.504973830 0.8025448414 -15 -70 2.31325890815717 1.064825848 -1.407958764 0.7672342451 -20 -70 2.24479814213938 1.226451646 -1.295909494 0.7264516463 -25 -70 2.17367664438857 1.372396526 -1.170860387 0.6809374932 -30 -70 2.10051052218020 1.501672475 -1.034947619 0.6314692914 -35 -70 2.02595766948162 1.613600308 -0.8903860602 0.5788531869 -40 -70 1.95070754342477 1.707821719 -0.7394258726 0.5239081721 -45 -70 1.87548184910750 1.784313239 -0.5843132387 0.4674517903 - --45 -65 2.70340537087881 -1.315452775 -1.115452775 0.8465595321 --40 -65 2.70292437753516 -1.136152292 -1.249890372 0.9092488131 --35 -65 2.69441150100889 -0.9437123302 -1.361834887 0.9614493975 --30 -65 2.67841874106814 -0.7417760774 -1.450819258 1.002943491 --25 -65 2.65550892067746 -0.5337408163 -1.516864334 1.033740816 --20 -65 2.62623585842374 -0.3227085968 -1.560373293 1.054029377 --15 -65 2.59112010905722 -0.1114672180 -1.582026725 1.064126538 --10 -65 2.55064651469392 0.09749724864 -1.582706536 1.064443539 --5 -65 2.50526188692784 0.3019751659 -1.563434211 1.055456706 --2.84217e-14 -65 2.45537968758423 0.5000000000 -1.525329731 1.037688295 -5 -65 2.40138670551136 0.6898141693 -1.469585883 1.011694512 -10 -65 2.34365664232527 0.8698388786 -1.397460509 0.9780618978 -15 -65 2.28256003572050 1.038651462 -1.310274624 0.9374064520 -20 -65 2.21847818859171 1.194972263 -1.209420600 0.8903774483 -25 -65 2.15181205358137 1.337660884 -1.096369562 0.8376608835 -30 -65 2.08300132142681 1.465726968 -0.9726881751 0.7799873057 -35 -65 2.01253407169807 1.578350598 -0.8400442576 0.7181344312 -40 -65 1.94095681943360 1.674912985 -0.7002067710 0.6529271403 -45 -65 1.86887773273599 1.755031636 -0.5550316364 0.5852308633 - --45 -60 2.66627899400126 -1.245489331 -1.045489331 1.007758735 --40 -60 2.66053318943584 -1.064018069 -1.163924153 1.076137111 --35 -60 2.64755380853704 -0.8727894601 -1.260546531 1.131922067 --30 -60 2.62806446315581 -0.6753061578 -1.335689980 1.175306158 --25 -60 2.60273516233760 -0.4746035041 -1.390043959 1.206687442 --20 -60 2.57216326710603 -0.2732606423 -1.424516154 1.226589973 --15 -60 2.53686886993385 -0.07344557080 -1.440128006 1.235603480 --10 -60 2.49729497616073 0.1230238680 -1.437937884 1.234339013 --5 -60 2.45381270416205 0.3146123446 -1.418990598 1.223399792 --2.84217e-14 -60 2.40673132620456 0.5000000000 -1.384290469 1.203365663 -5 -60 2.35631184462456 0.6780213818 -1.334793705 1.174788693 -10 -60 2.30278500858660 0.8476141159 -1.271417616 1.138198491 -15 -60 2.24636058612503 1.007777735 -1.195052306 1.094108959 -20 -60 2.18724538112472 1.157544095 -1.106587554 1.043033811 -25 -60 2.12566046388941 1.295961174 -1.006944247 0.9855047205 -30 -60 2.06186065247440 1.422092116 -0.8971103938 0.9220921158 -35 -60 1.99615572923200 1.535031483 -0.7781781499 0.8534265528 -40 -60 1.92892445995452 1.633935379 -0.6513715614 0.7802147347 -45 -60 1.86062955295116 1.718067967 -0.5180679667 0.7032518684 - --45 -55 2.62123451293788 -1.161042954 -0.9610429536 1.163074797 --40 -55 2.60989067102966 -0.9783594679 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1.553738397 -0.3537383972 1.053738397 diff --git a/test/Kerr-definition-expansion.par b/test/Kerr-definition-expansion.par index 3a41671..3102801 100644 --- a/test/Kerr-definition-expansion.par +++ b/test/Kerr-definition-expansion.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-definition-expansion/BH_diagnostics.ah1.gp b/test/Kerr-definition-expansion/BH_diagnostics.ah1.gp index a100a49..5c0b9e2 100644 --- a/test/Kerr-definition-expansion/BH_diagnostics.ah1.gp +++ b/test/Kerr-definition-expansion/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000021 -0.000006 0.000000 1.100259489 2.820632421 2.056459576 1.280889565 5.406122908e-06 0.000000000 1.280905803 0.000000000 1.161628002 -1.959919952 1.960302372 -1.960155237 1.959954336 -1.866296248 1.866296248 12.92105350 11.26654170 11.64508270 0.8719522522 0.9012487024 48.25495719 0.9797968517 1.959593703 0.02000000000 -1.415436814 -0.02830873627 0.7177184069 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000051 0.000018 0.000000 1.100212139 2.820503246 2.056387452 1.280799480 2.003936141e-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 0.7294276398 34.56920658 diff --git a/test/Kerr-definition-expansion/h.t0.ah1.gp b/test/Kerr-definition-expansion/h.t0.ah1.gp index 2ba20cb..70b5afa 100644 --- a/test/Kerr-definition-expansion/h.t0.ah1.gp +++ b/test/Kerr-definition-expansion/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.52684579451221 -0.9588750997 -0.7588750997 1.458875100 --40 -45 2.50491549932175 -0.7781922630 -0.8232902215 1.523290221 --35 -45 2.47961755800926 -0.6002375692 -0.8713020915 1.571302091 --30 -45 2.45175458334556 -0.4266761290 -0.9050501377 1.605050138 --25 -45 2.42189793543936 -0.2584067137 -0.9264084460 1.626408446 --20 -45 2.39043441249092 -0.09580040530 -0.9369481601 1.636948160 --15 -45 2.35760619622444 0.06111560338 -0.9379388668 1.637938867 --10 -45 2.32354525979107 0.2125216161 -0.9303709322 1.630370932 --5 -45 2.28829718395576 0.3587072931 -0.9149830298 1.614983030 -0 -45 2.25183900761443 0.5000000000 -0.8922906324 1.592290632 -5 -45 2.21409387314803 0.6367109652 -0.8626134825 1.562613482 -10 -45 2.17494581297163 0.7690930615 -0.8261025873 1.526102587 -15 -45 2.13424354670843 0.8973039232 -0.7827584276 1.482758428 -20 -45 2.09181237196700 1.021370782 -0.7324544508 1.432454451 -25 -45 2.04746220918611 1.141153809 -0.6749587797 1.374958780 -30 -45 2.00099948163081 1.256306715 -0.6099616557 1.309961656 -35 -45 1.95224363658878 1.366235112 -0.5371119487 1.237111949 -40 -45 1.90105206635299 1.470056692 -0.4560685476 1.156068548 -45 -45 1.84735148397844 1.566568877 -0.3665688766 1.066568877 - --45 -40 2.47945570579884 -1.007807602 -0.5652008024 1.507807602 --40 -40 2.45599283410906 -0.8279951200 -0.6279951200 1.582642955 --35 -40 2.42901568214785 -0.6481570647 -0.6759037385 1.639738223 --30 -40 2.39930587230953 -0.4704754300 -0.7104532704 1.680912752 --25 -40 2.36744936733429 -0.2963968749 -0.7330803115 1.707878610 --20 -40 2.33386832412301 -0.1268149686 -0.7450637976 1.722159972 --15 -40 2.29885214269095 0.03777218391 -0.7474952751 1.725057694 --10 -40 2.26258466529926 0.1971333740 -0.7412727602 1.717641990 --5 -40 2.22516596886126 0.3512027242 -0.7271076300 1.700760645 -0 -40 2.18663040384051 0.5000000000 -0.7055389306 1.675056070 -5 -40 2.14696379059160 0.6435678811 -0.6769527531 1.640988390 -10 -40 2.10611868219111 0.7819222940 -0.6416034913 1.598860781 -15 -40 2.06402060400778 0.9150104822 -0.5996312448 1.548840205 -20 -40 2.02058132534009 1.042674412 -0.5510855446 1.490985692 -25 -40 1.97571143226855 1.164618400 -0.4959508802 1.425278758 -30 -40 1.92933277083778 1.280379889 -0.4341754079 1.351657617 -35 -40 1.88139483991209 1.389305406 -0.3657066617 1.270059743 -40 -40 1.83189600480425 1.490535852 -0.2905358521 1.180474660 -45 -40 1.78090797654733 1.583006475 -0.2087503340 1.083006475 - --45 -35 2.43077779378563 -1.040352954 -0.3785667502 1.540352954 --40 -35 2.40524643384462 -0.8624397671 -0.4369217192 1.623692487 --35 -35 2.37620363147763 -0.6822630371 -0.4822630371 1.688446600 --30 -35 2.34439975585619 -0.5023130824 -0.5156003269 1.736057184 --25 -35 2.31042486141601 -0.3244310827 -0.5379656408 1.767998162 --20 -35 2.27472844547980 -0.1499315508 -0.5503411773 1.785672260 --15 -35 2.23763992260555 0.02027760376 -0.5536154151 1.790348356 --10 -35 2.19939064168536 0.1855858844 -0.5485618083 1.783131058 --5 -35 2.16013333785071 0.3455867983 -0.5358319746 1.764950971 -0 -35 2.11995944014348 0.5000000000 -0.5159587809 1.736569109 -5 -35 2.07891528655565 0.6486074770 -0.4893663871 1.698591235 -10 -35 2.03701905668681 0.7912022690 -0.4563858411 1.651490134 -15 -35 1.99426841391835 0.9275465470 -0.4172689584 1.595625436 -20 -35 1.95065293337694 1.057337246 -0.3722078453 1.531271497 -25 -35 1.90616571741793 1.180178911 -0.3213565926 1.458648382 -30 -35 1.86081734570091 1.295564649 -0.2648568543 1.377958393 -35 -35 1.81464881091985 1.402865472 -0.2028654725 1.289425525 -40 -35 1.76774571492227 1.501330685 -0.1355852727 1.193339442 -45 -35 1.72025470441194 1.590103515 -0.06329869836 1.090103515 - --45 -30 2.38150452730048 -1.059060681 -0.2001241036 1.559060681 --40 -30 2.35346157009515 -0.8835032901 -0.2519322466 1.648795016 --35 -30 2.32202613590984 -0.7039993277 -0.2927475755 1.719489240 --30 -30 2.28791953677210 -0.5231887223 -0.3231887223 1.772214853 --25 -30 2.25173474181725 -0.3431701394 -0.3439556341 1.808184199 --20 -30 2.21394345023095 -0.1655702444 -0.3557653445 1.828639218 --15 -30 2.17491072412226 0.008373122307 -0.3593086980 1.834776486 --10 -30 2.13491178648504 0.1777269825 -0.3552237249 1.827701105 --5 -30 2.09414848107696 0.3417852853 -0.3440816497 1.808402465 -0 -30 2.05276503816911 0.5000000000 -0.3263825191 1.777746671 -5 -30 2.01086328309244 0.6519224466 -0.3025580673 1.736481510 -10 -30 1.96851803264613 0.7971552503 -0.2729802159 1.685251169 -15 -30 1.92578587013331 0.9353135436 -0.2379703269 1.624612262 -20 -30 1.88271713649721 1.065994811 -0.1978131334 1.555057963 -25 -30 1.83936459542343 1.188756661 -0.1527714197 1.477043426 -30 -30 1.79579546147186 1.303104145 -0.1031041451 1.391017183 -35 -30 1.75210190297103 1.408486550 -0.04908498632 1.297453255 -40 -30 1.70840817589174 1.504302922 0.008980077021 1.196881616 -45 -30 1.66488148400409 1.589920775 0.07073394728 1.089920775 - --45 -25 2.33206534966215 -1.066082008 -0.03027603351 1.566082008 --40 -25 2.30117789645208 -0.8929644207 -0.07410351858 1.660070353 --35 -25 2.26710900370753 -0.7147562544 -0.1089746444 1.734851723 --30 -25 2.23055985120160 -0.5341384713 -0.1352411257 1.791180374 --25 -25 2.19212709171632 -0.3533547869 -0.1533547869 1.830025246 --20 -25 2.15230284509999 -0.1742418233 -0.1638182358 1.852464185 --15 -25 2.11148441019990 0.001719934313 -0.1671487621 1.859606522 --10 -25 2.06998642013342 0.1733474338 -0.1638530107 1.852538760 --5 -25 2.02805408173567 0.3396953727 -0.1544109870 1.832290275 -0 -25 1.98587689746370 0.5000000000 -0.1392678424 1.799815696 -5 -25 1.94360238701662 0.6536292642 -0.1188318294 1.755990525 -10 -25 1.90134970255178 0.8000409826 -0.09347702429 1.701616970 -15 -25 1.85921643286713 0.9387484377 -0.06354683015 1.637431461 -20 -25 1.81729269513100 1.069294764 -0.02936323692 1.564124509 -25 -25 1.77566527915902 1.191233858 0.008766142424 1.482355791 -30 -25 1.73442789342979 1.304120369 0.05053726291 1.392777334 -35 -25 1.69368886705502 1.407507818 0.09563940391 1.296055481 -40 -25 1.65357332445207 1.500952083 0.1437470781 1.192888241 -45 -25 1.61423262913952 1.584026516 0.1945101338 1.084026516 - --45 -20 2.28269688271603 -1.063170461 0.1310524812 1.563170461 --40 -20 2.24874404472538 -0.8923573046 0.09604714921 1.659346820 --35 -20 2.21189877713497 -0.7158058367 0.06802003539 1.736350682 --30 -20 2.17285086822152 -0.5361694854 0.04678327793 1.794698194 --25 -20 2.13220221687422 -0.3557509282 0.03205500626 1.835163788 --20 -20 2.09046365067131 -0.1765066008 0.02349339924 1.858686610 --15 -20 2.04806018779960 -7.257259015e-05 0.02072371727 1.866296248 --10 -20 2.00533927062653 0.1721982972 0.02335901136 1.859055837 --5 -20 1.96258093991882 0.3391939295 0.03101477620 1.838021796 -0 -20 1.92000931180486 0.5000000000 0.04331813999 1.804218582 -5 -20 1.87780454305627 0.6538598300 0.05991251778 1.758625904 -10 -20 1.83611448518797 0.8001394645 0.08045878884 1.702175488 -15 -20 1.79506025570266 0.9382978612 0.1046357304 1.635749887 -20 -20 1.75474930890976 1.067864210 0.1321357897 1.560194095 -25 -20 1.71527864870997 1.188420303 0.1626626981 1.476322104 -30 -20 1.67674339015894 1.299590235 0.1959263716 1.384930912 -35 -20 1.63924136083332 1.401035452 0.2316387405 1.286811985 -40 -20 1.60287637241064 1.492454713 0.2695100308 1.182761470 -45 -20 1.56776149496387 1.573589085 0.3092455291 1.073589085 - --45 -15 2.23349796231404 -1.051715094 0.2842191936 1.551715094 --40 -15 2.19636550816771 -0.8829635392 0.2583790652 1.648151766 --35 -15 2.15670058897984 -0.7082699619 0.2376299984 1.725588338 --30 -15 2.11518696098191 -0.5302197331 0.2218733579 1.784392921 --25 -15 2.07243240515255 -0.3511108044 0.2109356479 1.825213010 --20 -15 2.02896252983541 -0.1729421983 0.2045904813 1.848893494 --15 -15 1.98522277982333 0.002577007597 0.2025770076 1.856407881 --10 -15 1.94158367088919 0.1740063194 0.2046149880 1.848802034 --5 -15 1.89834838863311 0.3401449994 0.2104163602 1.827151018 -0 -15 1.85576218552544 0.5000000000 0.2196934032 1.792528622 -5 -15 1.81402264717630 0.6527541484 0.2321639508 1.745987905 -10 -15 1.77328957946746 0.7977369482 0.2475543533 1.688550141 -15 -15 1.73369090336902 0.9343984594 0.2656015406 1.621197121 -20 -15 1.69533302755487 1.062287927 0.2860524249 1.544873382 -25 -15 1.65830350253635 1.181035495 0.3086641350 1.460485331 -30 -15 1.62268062706141 1.290340350 0.3332017672 1.368909641 -35 -15 1.58853618678982 1.389961531 0.3594374375 1.270996786 -40 -15 1.55593913883898 1.479712662 0.3871489311 1.167576084 -45 -15 1.52495778135131 1.559459219 0.4161187577 1.059459219 - --45 -10 2.18447185629603 -1.032786763 0.4297283381 1.532786763 --40 -10 2.14414411268105 -0.8658257969 0.4129876716 1.627727800 --35 -10 2.10171115975305 -0.6931105991 0.3995496648 1.703938524 --30 -10 2.05785416777244 -0.5171364241 0.3893591218 1.761731965 --25 -10 2.01318323281396 -0.3401477323 0.3823112158 1.801702626 --20 -10 1.96823107085837 -0.1641199508 0.3782641691 1.824654569 --15 -10 1.92345256402378 0.009241045965 0.3770505489 1.831537351 --10 -10 1.87922800892191 0.1784868832 0.3784868832 1.823391494 --5 -10 1.83586896217671 0.3424062861 0.3823814351 1.801304393 -0 -10 1.79362613951674 0.5000000000 0.3885400895 1.766376928 -5 -10 1.75269851017681 0.6504542390 0.3967705229 1.719699821 -10 -10 1.71324207427600 0.7931149368 0.4068850632 1.662337412 -15 -10 1.67537641024309 0.9274636090 0.4187027628 1.595315907 -20 -10 1.63919268749207 1.053095916 0.4320502510 1.519618540 -25 -10 1.60475740781258 1.169702228 0.4467625293 1.436181063 -30 -10 1.57212237169492 1.277053570 0.4626821756 1.345896263 -35 -10 1.54132588884398 1.374988100 0.4796595989 1.249612511 -40 -10 1.51239845830208 1.463402048 0.4975523191 1.148137852 -45 -10 1.48536506023348 1.542241810 0.5162246484 1.042241810 - --45 -5 2.13555503547102 -1.007184104 0.5681384770 1.507184104 --40 -5 2.09210664834325 -0.8417701881 0.5601004265 1.599059442 --35 -5 2.04704746347196 -0.6711345150 0.5536705363 1.672553423 --30 -5 2.00105549639841 -0.4976681896 0.5488185401 1.728011993 --25 -5 1.95473479395982 -0.3235218674 0.5454907907 1.766048344 --20 -5 1.90861261227550 -0.1505890328 0.5436158795 1.787478677 --15 -5 1.86313831046381 0.01949703180 0.5431099488 1.793261491 --10 -5 1.81868529918734 0.1853543327 0.5438813572 1.784444253 --5 -5 1.77555624111627 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1.424231878 1.347154128 0.000000000 +90 40 1.11564315797744 1.354632242 1.417121599 0.000000000 +90 45 1.10678778393739 1.282617147 1.482617147 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.18735060068837 1.185517189 1.385517189 0.6855171889 -40 45 1.19340286350337 1.108961982 1.425732630 0.7257326296 -35 45 1.20178347851385 1.033246479 1.461554897 0.7615548967 -30 45 1.21219259118619 0.9581657339 1.493566329 0.7935663294 -25 45 1.22442129856140 0.8834221581 1.522251472 0.8222514716 -20 45 1.23833858069274 0.8086479279 1.548003213 0.8480032126 -15 45 1.25388134260787 0.7334185231 1.571129788 0.8711297878 -10 45 1.27104872837219 0.6572592713 1.591861646 0.8918616461 -5 45 1.28989575424012 0.5796456265 1.610353676 0.9103536760 -0 45 1.31053179888152 0.5000000000 1.626685922 0.9266859219 --5 45 1.33312070471532 0.4176854150 1.640860011 0.9408600115 --10 45 1.35788134147547 0.3319974479 1.652789819 0.9527898194 --15 45 1.38509305003462 0.2421555269 1.662288674 0.9622886742 --20 45 1.41509989016037 0.1472954524 1.669047780 0.9690477804 --25 45 1.44831537842283 0.04646639298 1.672605959 0.9726059589 --30 45 1.48522716736601 -0.06136310361 1.672309417 0.9723094170 --35 45 1.52639542158197 -0.1772808907 1.667257354 0.9672573541 --40 45 1.57244571320724 -0.3023775433 1.656236320 0.9562363199 --45 45 1.62404148429006 -0.4376407881 1.637640788 0.9376407881 - -45 50 1.16747138196494 1.209963167 1.409963167 0.5957298312 -40 50 1.17134100340975 1.133363060 1.454812702 0.6333630599 -35 50 1.17794211014441 1.056794493 1.495184946 0.6672393945 -30 50 1.18699526000279 0.9801179160 1.531588624 0.6977857079 -25 50 1.19829635502690 0.9031002671 1.564451312 0.7253607775 -20 50 1.21171164158568 0.8254335245 1.594121260 0.7502568197 -15 50 1.22717027414196 0.7467458543 1.620868065 0.7727000534 -10 50 1.24466267787727 0.6666089192 1.644886135 0.7928536071 -5 50 1.26423547560236 0.5845396691 1.666292840 0.8108159655 -0 50 1.28599009341779 0.5000000000 1.685125565 0.8266184982 --5 50 1.31008325503457 0.4123944811 1.701335664 0.8402203860 --10 50 1.33672518055090 0.3210677145 1.714775418 0.8514976788 --15 50 1.36618362868097 0.2253028747 1.725183628 0.8602312044 --20 50 1.39878417337838 0.1243237681 1.732161964 0.8660867234 --25 50 1.43491012973099 0.01730416758 1.735144553 0.8685894127 --30 50 1.47500063515142 -0.09661083322 1.733360275 0.8670922260 --35 50 1.51953921902452 -0.2182620113 1.725784460 0.8607353619 --40 50 1.56903802973930 -0.3484042859 1.711088856 0.8484042859 --45 50 1.62399990873855 -0.4875874780 1.687587478 0.8286842886 - -45 55 1.15133435135381 1.229585927 1.429585927 0.5108615657 -40 55 1.15317118898118 1.153208031 1.478463017 0.5450856728 -35 55 1.15804819917529 1.076178558 1.522868259 0.5761785576 -30 55 1.16572457030900 0.9983881202 1.563233546 0.6044426362 -25 55 1.17601957786198 0.9196401753 1.599921260 0.6301316501 -20 55 1.18881291763757 0.8396656092 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1.62447970069209 -0.5634715990 1.763471599 0.6139956140 - -45 65 1.12805603234608 1.257538058 1.457538058 0.3532457978 -40 65 1.12651173997758 1.181907633 1.512665872 0.3789523196 -35 65 1.12839637584781 1.104614314 1.563478727 0.4026467432 -30 65 1.13356534295054 1.025546773 1.610273712 0.4244676029 -25 65 1.14191267035012 0.9445256149 1.653288258 0.4445256149 -20 65 1.15337416597447 0.8613121185 1.692696887 0.4629021606 -15 65 1.16792633558872 0.7756138802 1.728605004 0.4796463906 -10 65 1.18558682218275 0.6870905887 1.761043454 0.4947726883 -5 65 1.20641483270334 0.5953593308 1.789962139 0.5082576925 -0 65 1.23050906064349 0.5000000000 1.815219944 0.5200356003 --5 65 1.25800758810361 0.4005625938 1.836574754 0.5299935118 --10 65 1.28908099764951 0.2965775950 1.853665787 0.5379631915 --15 65 1.32393157319783 0.1875711191 1.866000457 0.5437149426 --20 65 1.36278385040502 0.07308709126 1.872933577 0.5469479094 --25 65 1.40587495194972 -0.04728127971 1.873648492 0.5472812797 --30 65 1.45343956979793 -0.1738477670 1.867138569 0.5442456529 --35 65 1.50569091213086 -0.3067752586 1.852194477 0.5372771085 --40 65 1.56278974908735 -0.4459983606 1.827396945 0.5257138292 --45 65 1.62481712334025 -0.5911344586 1.791134459 0.5088043541 - -45 70 1.12007851856332 1.267019777 1.467019777 0.2791723679 -40 70 1.11724512937273 1.191765886 1.524414480 0.3000623315 -35 70 1.11795085810650 1.114499720 1.577596550 0.3194190218 -30 70 1.12209637317096 1.035095178 1.626812035 0.3373319934 -25 70 1.12961471819717 0.9533664002 1.672247383 0.3538691077 -20 70 1.14047408879826 0.8690751804 1.714025724 0.3690751804 -15 70 1.15467631807827 0.7819360292 1.752199585 0.3829693296 -10 70 1.17225802228729 0.6916225256 1.786745346 0.3955429581 -5 70 1.19329080407793 0.5977734988 1.817556205 0.4067571937 -0 70 1.21787772799168 0.5000000000 1.844430714 0.4165387151 --5 70 1.24615327318662 0.3978951609 1.867063651 0.4247764306 --10 70 1.27827438769046 0.2910475663 1.885028138 0.4313149690 --15 70 1.31441862779608 0.1790598691 1.897764875 0.4359507620 --20 70 1.35477351998900 0.06157418546 1.904565026 0.4384258145 --25 70 1.39952421321004 -0.06169350872 1.904555617 0.4384223900 --30 70 1.44883873924393 -0.1909091244 1.896689707 0.4355594330 --35 70 1.50285008490320 -0.3260657874 1.879744208 0.4293917757 --40 70 1.56162554245929 -0.4669133916 1.852322508 0.4194110933 --45 70 1.62514377844590 -0.6128839612 1.812883961 0.4050566361 - -45 75 1.11414000816501 1.274044972 1.474044972 0.2074047252 -40 75 1.11030126633793 1.199112312 1.533169610 0.2232471241 -35 75 1.11007399262373 1.121907866 1.588176479 0.2379861703 -30 75 1.11339653991882 1.042289220 1.639272481 0.2516773027 -25 75 1.12023599137722 0.9600608219 1.686603616 0.2643596423 -20 75 1.13058988399070 0.8749806272 1.730250806 0.2760548714 -15 75 1.14448401128554 0.7867651265 1.770222022 0.2867651265 -10 75 1.16197363316808 0.6950964396 1.806446891 0.2964715509 -5 75 1.18314296020789 0.5996294041 1.838769299 0.3051323141 -0 75 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0.000000000 +-40 90 1.55977980213714 -0.5026071307 1.894860650 0.000000000 +-45 90 1.62580573226840 -0.6496182582 1.849618258 0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.62581934863409 -0.6496278864 1.849627886 1.407888111e-16 --90 40 1.69592168546934 -0.7991513831 1.790117446 1.591001583e-16 --90 35 1.76968163797087 -0.9496383315 1.715047687 1.775294943e-16 --90 30 1.84656995225804 -1.099176489 1.623284976 1.958426368e-16 --90 25 1.92594672471208 -1.245500514 1.513940257 2.137621617e-16 --90 20 2.00705970493588 -1.386019194 1.386454848 2.309707369e-16 --90 15 2.08907160256196 -1.517888214 1.240691517 2.471200342e-16 --90 10 2.17107478996946 -1.638091286 1.077003181 2.618406649e-16 --90 5 2.25210045362255 -1.743530531 0.8962834878 2.747532484e-16 --90 -2.84217e-14 2.33115918596640 -1.831159186 0.7000000000 2.854846635e-16 --90 -5 2.40725964452458 -1.898099295 0.4901934977 2.936824625e-16 --90 -10 2.47942131803914 -1.941753337 0.2694530065 2.990285408e-16 --90 -15 2.54669653217502 -1.959919952 0.04086643538 3.012533096e-16 --90 -20 2.60820211181929 -1.950908278 -0.1920576601 3.001496978e-16 --90 -25 2.66312542233974 -1.913611308 -0.4254854368 2.955821363e-16 --90 -30 2.71073730688903 -1.847567371 -0.6553686534 2.874940866e-16 --90 -35 2.75039547201197 -1.752992074 -0.8775620334 2.759119531e-16 --90 -40 2.78157224060503 -1.630807958 -1.087960172 2.609487145e-16 --90 -45 2.80385085939383 -1.482621956 -1.282621956 2.428011632e-16 - --85 45 1.62577447433769 -0.6474026209 1.847402621 0.1003847218 --85 40 1.69569093838022 -0.7960671045 1.787529429 0.1133911788 --85 35 1.76919430262866 -0.9455316938 1.712172189 0.1264676360 --85 30 1.84575491051487 -1.093902132 1.620239825 0.1394483673 --85 25 1.92473828395819 -1.238947334 1.510884459 0.1521381782 --85 20 2.00540369199810 -1.378126716 1.383582221 0.1643147963 --85 15 2.08693159920428 -1.508661434 1.238219209 0.1757351043 --85 10 2.16843628452671 -1.627610350 1.075155109 0.1861417860 --85 5 2.24897460311483 -1.731955508 0.8952708045 0.1952708045 --85 -2.84217e-14 2.32758501771817 -1.818727854 0.7000000000 0.2028624010 --85 -5 2.40330130603821 -1.885114345 0.4913295336 0.2086704664 --85 -10 2.47516867806438 -1.928567781 0.2717779757 0.2124721495 --85 -15 2.54225798141328 -1.946910845 0.04435221522 0.2140769596 --85 -20 2.60369786455727 -1.938448947 -0.1875228344 0.2133366394 --85 -25 2.65868115697846 -1.902044241 -0.4200916247 0.2101516404 --85 -30 2.70647610614208 -1.837178144 -0.6493704306 0.2044765922 --85 -35 2.74643189210215 -1.743990012 -0.8712587223 0.1963236871 --85 -40 2.77800125423760 -1.623309125 -1.081667903 0.1857654776 --85 -45 2.80074390408985 -1.476646175 -1.276646175 0.1729341321 - --80 45 1.62564020308294 -0.6406692089 1.840669209 0.2011307576 --80 40 1.69499774833466 -0.7867581708 1.779718307 0.2268901832 --80 35 1.76773238918973 -0.9331690175 1.703515750 0.2527063657 --80 30 1.84331478832448 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2.17319574553746 -1.280177738 0.7000000000 1.246493871 +-55 -5 2.23196823870826 -1.323644143 0.5404518111 1.276929376 +-55 -10 2.28982170599199 -1.356447019 0.3726583023 1.299898197 +-55 -15 2.34656735157008 -1.377501808 0.1969249067 1.314640919 +-55 -20 2.40195133893878 -1.385542815 0.01371853998 1.320271293 +-55 -25 2.45562809873475 -1.379111517 -0.1762440909 1.315768049 +-55 -30 2.50713555753791 -1.356565069 -0.3718883426 1.299980857 +-55 -35 2.55587053730289 -1.316111574 -0.5716550147 1.271655015 +-55 -40 2.60106351001780 -1.255881319 -0.7733593668 1.229481335 +-55 -45 2.64175758351746 -1.174048162 -0.9740481623 1.172181143 + +-50 45 1.62394976495068 -0.4875569846 1.687556985 0.8286587015 +-50 40 1.68177597358034 -0.5837372405 1.609363519 0.9093635188 +-50 35 1.73954429421410 -0.6743017106 1.522254910 0.9853561322 +-50 30 1.79700828929983 -0.7589533432 1.426857052 1.056387286 +-50 25 1.85401797816619 -0.8374890676 1.323681395 1.122286583 +-50 20 1.91050007186753 -0.9097568046 1.213109514 1.182926415 +-50 15 1.96642947522868 -0.9756078625 1.095387935 1.238182013 +-50 10 2.02182368438128 -1.034868202 0.9706386758 1.287907342 +-50 5 2.07671927137325 -1.087298412 0.8388706166 1.331901512 +-50 -2.84217e-14 2.13116053588043 -1.132563686 0.7000000000 1.369883587 +-50 -5 2.18518114498007 -1.170199053 0.5538765170 1.401463409 +-50 -10 2.23878797971722 -1.199576727 0.4003187672 1.426114205 +-50 -15 2.29195133114361 -1.219879328 0.2391597229 1.443150110 +-50 -20 2.34458151857912 -1.230065232 0.07030775228 1.451697098 +-50 -25 2.39649985202215 -1.228835637 -0.1061692973 1.450665345 +-50 -30 2.44741166565177 -1.214614850 -0.2899333453 1.438732688 +-50 -35 2.49686988062830 -1.185544071 -0.4802306647 1.414339409 +-50 -40 2.54423237730656 -1.139504559 -0.6757076708 1.375707671 +-50 -45 2.58861909855571 -1.074192088 -0.8741920879 1.320904000 + +-45 45 1.62398445118484 -0.4376078601 1.637607860 0.9376078601 +-45 40 1.67845241913865 -0.5207011606 1.556469967 1.020701161 +-45 35 1.73215277340604 -0.5976431695 1.468578022 1.097643170 +-45 30 1.78497692761581 -0.6685416978 1.374657864 1.168541698 +-45 25 1.83691061568395 -0.7335643448 1.275220501 1.233564345 +-45 20 1.88801052355870 -0.7928927632 1.170574482 1.292892763 +-45 15 1.93838212785864 -0.8466843746 1.060842991 1.346684375 +-45 10 1.98816210357786 -0.8950413440 0.9459834282 1.395041344 +-45 5 2.03750004450320 -0.9379810534 0.8258070405 1.437981053 +-45 -2.84217e-14 2.08655260692332 -0.9754154977 0.7000000000 1.475415498 +-45 -5 2.13547140864464 -1.007125084 0.5681436406 1.507125084 +-45 -10 2.18439056668128 -1.032729724 0.4297383955 1.532729724 +-45 -15 2.23342017581527 -1.051661053 0.2842336740 1.551661053 +-45 -20 2.28262276099596 -1.063119703 0.1310709555 1.563119703 +-45 -25 2.33199319598743 -1.066033553 -0.03025343890 1.566033553 +-45 -30 2.38143168721854 -1.059012996 -0.2000965727 1.559012996 +-45 -35 2.43070249349732 -1.040305238 -0.3785333385 1.540305238 +-45 -40 2.47937463691981 -1.007758302 -0.5651594351 1.507758302 +-45 -45 2.52675448300857 -0.9588223809 -0.7588223809 1.458822381 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.80385087080395 -1.482621964 -1.282621964 2.428011642e-16 --40 -90 2.81693188221259 -1.310688911 -1.457895015 2.642659223e-16 --35 -90 2.82063242101533 -1.117848292 -1.610526814 2.829579267e-16 --30 -90 2.81490603098246 -0.9074530155 -1.737780132 2.985419636e-16 --25 -90 2.79983574812972 -0.6832617170 -1.837512941 3.107557101e-16 --20 -90 2.77562693937887 -0.4493203236 -1.908236153 3.194168056e-16 --15 -90 2.74259697019087 -0.2098363289 -1.949145245 3.244267244e-16 --10 -90 2.70119241891963 0.03094285893 -1.960155237 3.257750596e-16 --5 -90 2.65196870755304 0.2688656975 -1.941877166 3.235366415e-16 --2.84217e-14 -90 2.59557940565856 0.5000000000 -1.895579406 3.178668011e-16 -5 -90 2.53276115420056 0.7207446796 -1.823123233 3.089934792e-16 -10 -90 2.46435460323063 0.9279306860 -1.726915519 2.972114323e-16 -15 -90 2.39126202576359 1.118904154 -1.609781748 2.828666825e-16 -20 -90 2.31443724379160 1.291584158 -1.474859599 2.663434847e-16 -25 -90 2.23486612695111 1.444495238 -1.325476574 2.480493403e-16 -30 -90 2.15353808536413 1.576769043 -1.165018690 2.283989169e-16 -35 -90 2.07144342471146 1.688131138 -0.9968271160 2.078013896e-16 -40 -90 1.98953919344674 1.778851143 -0.8240754435 1.866454114e-16 -45 -90 1.90872152473020 1.849669934 -0.6496699335 1.652868964e-16 - --45 -85 2.80074392163022 -1.476646187 -1.276646187 0.1729341332 --40 -85 2.81324436830598 -1.304271034 -1.450246487 0.1881221914 --35 -85 2.81640476892454 -1.111290843 -1.601161806 0.2013255709 --30 -85 2.81020823424116 -0.9010882589 -1.726756050 0.2123136435 --25 -85 2.79476345907963 -0.6774225485 -1.824990804 0.2209080708 --20 -85 2.77029409611988 -0.4443105139 -1.894471814 0.2269868715 --15 -85 2.73713841631407 -0.2059074069 -1.934482308 0.2304873362 --10 -85 2.69574460497860 0.03361675023 -1.944990845 0.2314067141 --5 -85 2.64666712667213 0.2701989083 -1.926638497 0.2298010917 --2.84217e-14 -85 2.59054974130162 0.5000000000 -1.880691917 0.2257812868 -5 -85 2.52811547983117 0.7195076560 -1.808983989 0.2195076560 -10 -85 2.46018033464440 0.9256289329 -1.713861629 0.2111855278 -15 -85 2.38761907639061 1.115766445 -1.598071657 0.2010552179 -20 -85 2.31135682376209 1.287872505 -1.464661918 0.1893833782 -25 -85 2.23235031667453 1.440480165 -1.316866222 0.1764529303 -30 -85 2.15156301025568 1.572706867 -1.157982796 0.1625524317 -35 -85 2.06996264969257 1.684244502 -0.9912764249 0.1479675141 -40 -85 1.98848863277548 1.775314893 -0.8198611057 0.1329706169 -45 -85 1.90802691225002 1.846604412 -0.6466044119 0.1178126203 - --45 -80 2.79137004440864 -1.458631347 -1.258631347 0.3453595517 --40 -80 2.80214719462548 -1.284975600 -1.427251085 0.3750917610 --35 -80 2.80371412494137 -1.091627386 -1.573079479 0.4008052414 --30 -80 2.79613925394281 -0.8820488966 -1.693778907 0.4220878072 --25 -80 2.77960420038896 -0.6599928549 -1.787612705 0.4386332375 --20 -80 2.75438948551512 -0.4293852925 -1.853465105 0.4502447923 --15 -80 2.72087649688978 -0.1942175381 -1.890855124 0.4568376614 --10 -80 2.67953190907596 0.04156459376 -1.899916385 0.4584354062 --5 -80 2.63090097158782 0.2741595595 -1.881368047 0.4551648337 --2.84217e-14 -80 2.57559823624654 0.5000000000 -1.836469112 0.4472479401 -5 -80 2.51430202909125 0.7158314143 -1.766964355 0.4349923762 -10 -80 2.44775902985566 0.9187818781 -1.675030051 0.4187818781 -15 -80 2.37676750400074 1.106419912 -1.563189922 0.3990614456 -20 -80 2.30216719826286 1.276796581 -1.434231066 0.3763225199 -25 -80 2.22483094023218 1.428473195 -1.291117193 0.3510876829 -30 -80 2.14564723656388 1.560529940 -1.136891739 0.3238935743 -35 -80 2.06551669028564 1.672563530 -0.9745942677 0.2952761511 -40 -80 1.98532604877105 1.764658246 -0.8071610080 0.2657531500 -45 -80 1.90593031675552 1.837341450 -0.6373414502 0.2358093801 - --45 -75 2.77557270576684 -1.428319674 -1.228319674 0.5166916995 --40 -75 2.78354211769513 -1.252685172 -1.388768851 0.5596839267 --35 -75 2.78254187380401 -1.058891290 -1.526327489 0.5965426527 --30 -75 2.77277473178066 -0.8505034292 -1.639140555 0.6267708227 --25 -75 2.75453073086912 -0.6312363482 -1.725944178 0.6500297833 --20 -75 2.72817990042315 -0.4048503127 -1.786055802 0.6661366445 --15 -75 2.69415690805710 -0.1750555176 -1.819341490 0.6750555176 --10 -75 2.65294847472922 0.05456751585 -1.826173149 0.6768860553 --5 -75 2.60508359109235 0.2806326586 -1.807380186 0.6718504960 --2.84217e-14 -75 2.55112766497398 0.5000000000 -1.764200098 0.6602804262 -5 -75 2.49168236053396 0.7098181175 -1.698232057 0.6426043431 -10 -75 2.42739283780292 0.9075614857 -1.611396044 0.6193367034 -15 -75 2.35893629880136 1.091061701 -1.505872298 0.5910617008 -20 -75 2.28702282230289 1.258532572 -1.384051113 0.5584198126 -25 -75 2.21239573664705 1.408591233 -1.248480188 0.5220936928 -30 -75 2.13582300034260 1.540270691 -1.101801690 0.4827913079 -35 -75 2.05809896481029 1.653029387 -0.9466966206 0.4412310297 -40 -75 1.98002552389976 1.746742901 -0.7858103318 0.3981216785 -45 -75 1.90240079809296 1.821686468 -0.6216864684 0.3541448219 - --45 -70 2.75309846090644 -1.385297265 -1.185297265 0.6861920872 --40 -70 2.75727596329092 -1.207225568 -1.334592204 0.7405310010 --35 -70 2.75287110122328 -1.013160000 -1.461016437 0.7865456589 --30 -70 2.74024995344033 -0.8067456334 -1.563349830 0.8237919677 --25 -70 2.71983983500154 -0.5915969625 -1.640937240 0.8520314758 --20 -70 2.69210619842617 -0.3712075011 -1.693622937 0.8712075011 --15 -70 2.65753812819748 -0.1488881218 -1.721683439 0.8814206886 --10 -70 2.61662943893366 0.07227407942 -1.725754237 0.8829023380 --5 -70 2.56987718367675 0.2894344925 -1.706774763 0.8759943745 --2.84217e-14 -70 2.51777816941893 0.5000000000 -1.665937567 0.8611308504 -5 -70 2.46083700243645 0.7016311890 -1.604655036 0.8388258335 -10 -70 2.39956691182718 0.8922439116 -1.524525765 0.8096611637 -15 -70 2.33449660611179 1.070011433 -1.427311631 0.7742781126 -20 -70 2.26617904178354 1.233370838 -1.314919819 0.7333708385 -25 -70 2.19519342673779 1.381032201 -1.189379653 0.6876779548 -30 -70 2.12215231419361 1.511992817 -1.052822976 0.6379753892 -35 -70 2.04770849498633 1.625556000 -0.9074605580 0.5850677959 -40 -70 1.97254790500909 1.721344639 -0.7555418617 0.5297739124 -45 -70 1.89738566798208 1.799312778 -0.5993127784 0.4729111763 - --45 -65 2.72360628578582 -1.329018557 -1.129018557 0.8528853600 --40 -65 2.72316133388035 -1.148402262 -1.264489318 0.9160564133 --35 -65 2.71470419510085 -0.9545855071 -1.377363393 0.9686904587 --30 -65 2.69878351831052 -0.7512176531 -1.467172546 1.010569155 --25 -65 2.67596041678148 -0.5417022078 -1.533937594 1.041702208 --20 -65 2.64678514068201 -0.3291459742 -1.578059841 1.062276750 --15 -65 2.61177684195355 -0.1163419110 -1.600219327 1.072609887 --10 -65 2.57141850047697 0.09421934189 -1.601296469 1.073112167 --5 -65 2.52615496130034 0.3003237028 -1.582310521 1.064258874 --2.84217e-14 -65 2.47639691330867 0.5000000000 -1.544377806 1.046570559 -5 -65 2.42253007025169 0.6914854163 -1.488688323 1.020602126 -10 -65 2.36492636925593 0.8731953310 -1.416495896 0.9869382448 -15 -65 2.30395386857368 1.043700100 -1.329116397 0.9461925153 -20 -65 2.23999105244144 1.201711497 -1.227936493 0.8990115511 -25 -65 2.17343718810564 1.346079151 -1.114422594 0.8460791509 -30 -65 2.10472912111661 1.475800472 -0.9901359958 0.7881233582 -35 -65 2.03435086978345 1.590040416 -0.8567390481 0.7259193399 -40 -65 1.96284493034295 1.688162443 -0.7159968601 0.6602901798 -45 -65 1.89081504284152 1.769763482 -0.5697634820 0.5921004357 - --45 -60 2.68668484614052 -1.258848097 -1.058848097 1.015471422 --40 -60 2.68100004103205 -1.076049690 -1.178262880 1.084415579 --35 -60 2.66809663701707 -0.8834411712 -1.275758751 1.140704847 --30 -60 2.64869444025566 -0.6845321640 -1.351669891 1.184532164 --25 -60 2.62345996325040 -0.4823639800 -1.406686354 1.216295933 --20 -60 2.59298856786461 -0.2795212812 -1.441717118 1.236520955 --15 -60 2.55779886975218 -0.07817668475 -1.457784763 1.245797614 --10 -60 2.51833234651137 0.1198481973 -1.455948007 1.244737162 --5 -60 2.47495859811771 0.3130147541 -1.437251140 1.233942521 --2.84217e-14 -60 2.42798544414802 0.5000000000 -1.402697075 1.213992722 -5 -60 2.37767271951754 0.6796352142 -1.353239894 1.185438606 -10 -60 2.32424958755688 0.8508542754 -1.289793473 1.148807798 -15 -60 2.26792519247605 1.012652298 -1.213244424 1.104612183 -20 -60 2.20890467526739 1.164055455 -1.124477367 1.053362499 -25 -60 2.14740701854270 1.304104250 -1.024407128 0.9955869197 -30 -60 2.08368615147968 1.431852776 -0.9140163527 0.9318527757 -35 -60 2.01804840343434 1.546383106 -0.7943899475 0.8627864385 -40 -60 1.95086878130193 1.646835543 -0.6667453784 0.7890908121 -45 -60 1.88260706791988 1.732455628 -0.5324556275 0.7115585883 - --45 -55 2.64187718152846 -1.174123950 -0.9741239500 1.172234210 --40 -55 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1.84727515148934 1.566524806 -0.3665248060 1.066524806 diff --git a/test/Kerr-definition-inner-expansion.par b/test/Kerr-definition-inner-expansion.par index d470a52..c7aeadd 100644 --- a/test/Kerr-definition-inner-expansion.par +++ b/test/Kerr-definition-inner-expansion.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-definition-inner-expansion/BH_diagnostics.ah1.gp b/test/Kerr-definition-inner-expansion/BH_diagnostics.ah1.gp index 54e99ac..9e5a7dd 100644 --- a/test/Kerr-definition-inner-expansion/BH_diagnostics.ah1.gp +++ b/test/Kerr-definition-inner-expansion/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 -0.000093 0.000083 0.000000 1.096174565 2.816506791 2.069353579 1.280422588 -5.492557843e-06 0.000000000 1.280428317 0.000000000 1.214416627 -1.955908604 1.956100321 -1.955939612 1.955940334 -1.916070721 1.916070721 12.89789712 11.39357325 11.77967501 0.8833667343 0.9133019831 48.92993653 0.9866256422 1.973251284 0.01891199739 -1.400000000 -0.02647679635 0.7094559987 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 -0.000166 0.000123 0.000000 1.096168068 2.816485748 2.069385269 1.280439816 -8.704156738e-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 0.01891282374 -1.400000000 -0.02647795324 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/h.t0.ah1.gp b/test/Kerr-definition-inner-expansion/h.t0.ah1.gp index 6dcbbb7..92b9279 100644 --- a/test/Kerr-definition-inner-expansion/h.t0.ah1.gp +++ b/test/Kerr-definition-inner-expansion/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.55669130296034 -0.9761064120 -0.7761064120 1.476106412 --40 -45 2.53795017223158 -0.7950489846 -0.8433792800 1.543379280 --35 -45 2.51517206938995 -0.6160135542 -0.8938325329 1.593832533 --30 -45 2.48918310342422 -0.4408227799 -0.9295528557 1.629552856 --25 -45 2.46059490175562 -0.2705244989 -0.9523951203 1.652395120 --20 -45 2.42984286018510 -0.1056227075 -0.9639347135 1.663934713 --15 -45 2.39721752048201 0.05374168650 -0.9654586993 1.665458699 --10 -45 2.36289643924937 0.2076529296 -0.9579826255 1.657982626 --5 -45 2.32696506519085 0.3563197144 -0.9422731792 1.642273179 -0 -45 2.28943450410283 0.5000000000 -0.9188746629 1.618874663 -5 -45 2.25025679597314 0.6389438733 -0.8881357385 1.588135739 -10 -45 2.20934200340629 0.7733486968 -0.8502374944 1.550237494 -15 -45 2.16656050753941 0.9033199449 -0.8052105260 1.505210526 -20 -45 2.12175673635793 1.028834222 -0.7529600844 1.452960084 -25 -45 2.07476351970985 1.149703094 -0.6932927819 1.393292782 -30 -45 2.02541424008698 1.265534626 -0.6259448670 1.325944867 -35 -45 1.97356343833215 1.375694977 -0.5506220357 1.250622036 -40 -45 1.91911076925308 1.479271571 -0.4670504133 1.167050413 -45 -45 1.86204584300896 1.575052669 -0.3750526687 1.075052669 - --45 -40 2.51186690822875 -1.027517515 -0.5817393835 1.527517515 --40 -40 2.49226801534156 -0.8476096983 -0.6476096983 1.606018699 --35 -40 2.46842518235165 -0.6667853084 -0.6982270520 1.666342113 --30 -40 2.44110705433196 -0.4873832451 -0.7350264666 1.710197947 --25 -40 2.41091826833527 -0.3110195728 -0.7593931978 1.739237087 --20 -40 2.37831729940390 -0.1387527813 -0.7725853182 1.754958843 --15 -40 2.34363900490189 0.02876693598 -0.7756957714 1.758665737 --10 -40 2.30711541640769 0.1911725459 -0.7696389732 1.751447526 --5 -40 2.26889438661370 0.3482785965 -0.7551528004 1.734183578 -0 -40 2.22905586652050 0.5000000000 -0.7328094923 1.707555860 -5 -40 2.18762746295465 0.6462870687 -0.7030323525 1.672068847 -10 -40 2.14460308189979 0.7870737655 -0.6661181616 1.628076227 -15 -40 2.09994896335019 0.9222345601 -0.6222538961 1.575800831 -20 -40 2.05361693308012 1.051546898 -0.5715402379 1.515362647 -25 -40 2.00556234288359 1.174660081 -0.5140204334 1.446813213 -30 -40 1.95575505687638 1.291067221 -0.4497079835 1.370168620 -35 -40 1.90420592137084 1.400087841 -0.3786278843 1.285458656 -40 -40 1.85097924456515 1.500854469 -0.3008544691 1.192771909 -45 -40 1.79623015010761 1.592324202 -0.2165688348 1.092324202 - --45 -35 2.46503398802974 -1.062060669 -0.3937666554 1.562060669 --40 -35 2.44393845358260 -0.8843566674 -0.4552108213 1.649812032 --35 -35 2.41856958133984 -0.7033419109 -0.5033419109 1.718550352 --30 -35 2.38962548722185 -0.5216486680 -0.5390504290 1.769547400 --25 -35 2.35768846184744 -0.3412961978 -0.5632902962 1.804165518 --20 -35 2.32322611297610 -0.1637882221 -0.5769987024 1.823743151 --15 -35 2.28660463846028 0.009780172706 -0.5810474080 1.829525302 --10 -35 2.24810333692208 0.1786221560 -0.5762152909 1.822624324 --5 -35 2.20792902688239 0.3421702105 -0.5631763240 1.804002749 -0 -35 2.16623014760661 0.5000000000 -0.5424985684 1.774471854 -5 -35 2.12311122294074 0.6517667431 -0.5146512852 1.734701812 -10 -35 2.07865000323067 0.7971536252 -0.4800191188 1.685241952 -15 -35 2.03290499120363 0.9358297525 -0.4389147148 1.626538780 -20 -35 1.98592902366055 1.067416270 -0.3915979173 1.558963390 -25 -35 1.93778500212549 1.191461650 -0.3382987528 1.482844294 -30 -35 1.88855405893144 1.307423067 -0.2792386838 1.398497774 -35 -35 1.83835988915833 1.414662749 -0.2146627490 1.306273782 -40 -35 1.78737565462124 1.512449966 -0.1448640329 1.206590885 -45 -35 1.73584356708183 1.599981979 -0.07021567324 1.099981979 - --45 -30 2.41694244718776 -1.082260245 -0.2135183783 1.582260245 --40 -30 2.39377574361580 -0.9072023352 -0.2682385939 1.677038438 --35 -30 2.36644209922168 -0.7270295551 -0.3117369569 1.752379813 --30 -30 2.33557802598367 -0.5445022466 -0.3445022466 1.809130960 --25 -30 2.30173833123414 -0.3618941625 -0.3671384397 1.848337996 --20 -30 2.26539280136457 -0.1810372868 -0.3803000461 1.871134567 --15 -30 2.22693228231210 -0.003386071274 -0.3846462388 1.878662394 --10 -30 2.18667756871400 0.1699127417 -0.3808100193 1.872017867 --5 -30 2.14488962750205 0.3379517481 -0.3693797125 1.852219995 -0 -30 2.10178086153171 0.5000000000 -0.3508904308 1.820195619 -5 -30 2.05752738832070 0.6554479598 -0.3258234358 1.776778310 -10 -30 2.01228368455002 0.8037618412 -0.2946122826 1.722719007 -15 -30 1.96618839689051 0.9444463176 -0.2576487199 1.658696239 -20 -30 1.91937713885119 1.077015782 -0.2152952240 1.585337832 -25 -30 1.87199555187612 1.200975440 -0.1678998761 1.503246681 -30 -30 1.82420303247407 1.315808397 -0.1158083971 1.413021593 -35 -30 1.77618947628391 1.420976255 -0.05938326834 1.315290403 -40 -30 1.72818138543818 1.515926779 0.0009821746865 1.210734389 -45 -30 1.68044815661617 1.600111554 0.06485029807 1.100111554 - --45 -25 2.36809047539027 -1.090274426 -0.04155714359 1.590274426 --40 -25 2.34237402208602 -0.9179015355 -0.08796166742 1.689789249 --35 -25 2.31270343905575 -0.7391865422 -0.1252441497 1.769741790 --30 -25 2.27966755567089 -0.5569059243 -0.1536296816 1.830614760 --25 -25 2.24379866984149 -0.3734695826 -0.1734695826 1.873161565 --20 -25 2.20556829287693 -0.1909280405 -0.1851961127 1.898309190 --15 -25 2.16538865693336 -0.01100069553 -0.1892862691 1.907080558 --10 -25 2.12361708846640 0.1648842887 -0.1862343239 1.900535641 --5 -25 2.08056212172128 0.3355449499 -0.1765324120 1.879729824 -0 -25 2.03649163653892 0.5000000000 -0.1606585555 1.845688228 -5 -25 1.99164249627637 0.6574265257 -0.1390709332 1.799393423 -10 -25 1.94623185508941 0.8071235751 -0.1122073803 1.741784348 -15 -25 1.90045943035565 0.9484811942 -0.08048458922 1.673754603 -20 -25 1.85451937076773 1.080956590 -0.04430401598 1.596165113 -25 -25 1.80860998929779 1.204058628 -0.004058627731 1.509858600 -30 -25 1.76293269754930 1.317335847 0.03986353690 1.415667214 -35 -25 1.71770467907927 1.420375905 0.08706981905 1.314433015 -40 -25 1.67315935634980 1.512808031 0.1371584453 1.207017609 -45 -25 1.62955109442664 1.594313523 0.1897132236 1.094313523 - --45 -20 2.31878451097795 -1.087882947 0.1220578719 1.587882947 --40 -20 2.29014975917545 -0.9179945260 0.08492667538 1.689900071 --35 -20 2.25785953175319 -0.7410689068 0.05488820658 1.772430085 --30 -20 2.22247020271610 -0.5598315052 0.03186638718 1.835682014 --25 -20 2.18450089666239 -0.3767407965 0.01567164399 1.880176706 --20 -20 2.14442769105896 -0.1939702048 0.006029795170 1.906667468 --15 -20 2.10268233843721 -0.01340960221 0.002607290973 1.916070721 --10 -20 2.05965283213846 0.1633199602 0.005032545360 1.909407389 --5 -20 2.01568643477302 0.3348426766 0.01291269917 1.887756844 -0 -20 1.97109445094551 0.5000000000 0.02584599338 1.852222910 -5 -20 1.92615894274653 0.6578217970 0.04342994718 1.803911394 -10 -20 1.88114056171036 0.8074996278 0.06526610330 1.743917049 -15 -20 1.83627813179276 0.9483619841 0.09096507473 1.673309705 -20 -20 1.79179706327123 1.079853441 0.1201465593 1.593134235 -25 -20 1.74791803721927 1.201519992 0.1524379099 1.504414478 -30 -20 1.70485225530095 1.312994536 0.1874760997 1.408147843 -35 -20 1.66281239607630 1.413991652 0.2249040643 1.305315355 -40 -20 1.62200953248188 1.504301413 0.2643713728 1.196879817 -45 -20 1.58265607033644 1.583788758 0.3055331520 1.083788758 - --45 -15 2.26918851876357 -1.076510987 0.2775751542 1.576510987 --40 -15 2.23738092612342 -0.9087893079 0.2501321377 1.678929719 --35 -15 2.20228877784804 -0.7338102894 0.2278564531 1.762063705 --30 -15 2.16445152105797 -0.5542144546 0.2107373689 1.825952997 --25 -15 2.12438442219124 -0.3724465656 0.1986757163 1.870967698 --20 -15 2.08257083874204 -0.1907223656 0.1915010002 1.897744103 --15 -15 2.03945879634401 -0.01101252095 0.1889874791 1.907124691 --10 -15 1.99545938416824 0.1649605377 0.1908688790 1.900103211 --5 -15 1.95094670849311 0.3357158311 0.1968512649 1.877776643 -0 -15 1.90626010518893 0.5000000000 0.2066235799 1.841305867 -5 -15 1.86170800344195 0.6567696087 0.2198659077 1.791884827 -10 -15 1.81757278308107 0.8051721387 0.2362557234 1.730717202 -15 -15 1.77410842523337 0.9445255871 0.2554744129 1.658992076 -20 -15 1.73154784281233 1.074299227 0.2772098938 1.577874157 -25 -15 1.69010728397915 1.194096737 0.3011588983 1.488495256 -30 -15 1.64998208793285 1.303637758 0.3270304187 1.391941427 -35 -15 1.61135934907661 1.402747980 0.3545444330 1.289257728 -40 -15 1.57440913262420 1.491342478 0.3834351886 1.181435960 -45 -15 1.53929264002452 1.569418314 0.4134502265 1.069418314 - --45 -10 2.21936429513737 -1.057269874 0.4254113049 1.557269874 --40 -10 2.18423894965586 -0.8913663202 0.4076206291 1.658165811 --35 -10 2.14626755482975 -0.7184046111 0.3931801007 1.740062117 --30 -10 2.10598442431775 -0.5409257857 0.3820936774 1.802936348 --25 -10 2.06390702012496 -0.3613159371 0.3743067887 1.847097988 --20 -10 2.02052570982685 -0.1817651925 0.3697158541 1.873134472 --15 -10 1.97629885745515 -0.004242411945 0.3681776077 1.881858301 --10 -10 1.93164952481986 0.1695181977 0.3695181977 1.874255437 --5 -10 1.88696375336620 0.3380202334 0.3735416679 1.851437204 -0 -10 1.84259076730846 0.5000000000 0.3800374711 1.814597673 -5 -10 1.79884476414797 0.6544155019 0.3887868883 1.764977263 -10 -10 1.75600786161162 0.8004316443 0.3995683557 1.703832522 -15 -10 1.71432716253053 0.9374016916 0.4121628958 1.632405336 -20 -10 1.67402190085861 1.064847979 0.4263569125 1.551907067 -25 -10 1.63528467781293 1.182441961 0.4419451977 1.463501509 -30 -10 1.59828072624806 1.289982871 0.4587334729 1.368290469 -35 -10 1.56315772899171 1.387381716 0.4765386259 1.267312428 -40 -10 1.53003932518738 1.474639330 0.4951909358 1.161529923 -45 -10 1.49903501561879 1.551833660 0.5145333464 1.051833660 - --45 -5 2.16929818774090 -1.030998589 0.5660549796 1.530998589 --40 -5 2.13081677240936 -0.8665968816 0.5575118731 1.628646743 --35 -5 2.08999366680745 -0.6957044294 0.5506006051 1.707642898 --30 -5 2.04736736996104 -0.5207579455 0.5453196384 1.768004624 --25 -5 2.00345714887229 -0.3440483986 0.5416396020 1.810067632 --20 -5 1.95875515827330 -0.1676811291 0.5395073988 1.834438826 --15 -5 1.91371974709171 0.006452090211 0.5388506171 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0.7348890264 1.576617781 0.8766177808 +20 45 1.24555346627091 0.8104461918 1.552943902 0.8529439018 +25 45 1.23090838107929 0.8854535596 1.526607826 0.8266078260 +30 45 1.21790804570779 0.9603259727 1.497307973 0.7973079727 +35 45 1.20668153558938 1.035419809 1.464658733 0.7646587331 +40 45 1.19743728669156 1.111020641 1.428186045 0.7281860446 +45 45 1.19047526014379 1.187321212 1.387321212 0.6873212119 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.86204620458546 1.575052877 -0.3750528775 1.075052877 -45 -40 1.79623031426763 1.592324302 -0.2165689185 1.092324302 -45 -35 1.73584371763019 1.599982074 -0.07021574004 1.099982074 -45 -30 1.68044827107762 1.600111629 0.06485025480 1.100111629 -45 -25 1.62955113194290 1.594313549 0.1897132118 1.094313549 -45 -20 1.58265614323234 1.583788808 0.3055331338 1.083788808 -45 -15 1.53929266462845 1.569418331 0.4134502219 1.069418331 -45 -10 1.49903505047739 1.551833685 0.5145333421 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1.16102725776782 1.552248045 1.190671322 0.000000000 +90 30 1.14060843314157 1.487795879 1.270304217 0.000000000 +90 35 1.12414674783132 1.420847107 1.344784086 0.000000000 +90 40 1.11154111391008 1.351489894 1.414484856 0.000000000 +90 45 1.10271032030653 1.279733945 1.479733945 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.19051249110985 1.187342707 1.387342707 0.6873427072 -40 45 1.19747807359252 1.111041454 1.428210848 0.7282108480 -35 45 1.20672379987097 1.035438562 1.464685515 0.7646855155 -30 45 1.21795009510856 0.9603418658 1.497335501 0.7973355005 -25 45 1.23094912209922 0.8854663174 1.526635185 0.8266351854 -20 45 1.24559106599839 0.8104555633 1.552969650 0.8529696498 -15 45 1.26181363236294 0.7348951727 1.576640719 0.8766407191 -10 45 1.27961605504889 0.6583192554 1.597873115 0.8978731151 -5 45 1.29905287460257 0.5802110400 1.616816383 0.9168163829 -0 45 1.32023028673697 0.5000000000 1.633543788 0.9335437885 --5 45 1.34330762794300 0.4170564155 1.648049510 0.9480495095 --10 45 1.36849748074465 0.3306839764 1.660238887 0.9602388867 --15 45 1.39606887345687 0.2401123028 1.669914090 0.9699140901 --20 45 1.42635236081586 0.1444908464 1.676753372 0.9767533719 --25 45 1.45974201630541 0.04288819146 1.680279437 0.9802794369 --30 45 1.49670076830630 -0.06569971715 1.679820652 0.9798206519 --35 45 1.53775596996706 -0.1823217093 1.674456389 0.9744563890 --40 45 1.58349312569243 -0.3080147463 1.662954477 0.9629544768 --45 45 1.63452771399507 -0.4436950157 1.643695016 0.9436950157 - -45 50 1.16880979410693 1.210777082 1.410777082 0.5964127876 -40 50 1.17341613379670 1.134485116 1.456149917 0.6344851165 -35 50 1.18072416811091 1.058109528 1.497063010 0.6688152773 -30 50 1.19045292044866 0.9815164766 1.534011002 0.6998183243 -25 50 1.20239774014286 0.9044799504 1.567410053 0.7278434554 -20 50 1.21642349248489 0.8266990024 1.597598132 0.7531742615 -15 50 1.23245872776914 0.7478091982 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40 1.69145965345359 -0.7840722248 1.777464530 0.2264165784 --80 35 1.76440511859145 -0.9304714706 1.701626907 0.2522307154 --80 30 1.84022325221757 -1.075417819 1.609567902 0.2777886674 --80 25 1.91829644480995 -1.216783493 1.500549290 0.3027152498 --80 20 1.99790614945293 -1.352164940 1.374132907 0.3265866516 --80 15 2.07827525814658 -1.478961598 1.230261162 0.3489443236 --80 10 2.15856536412373 -1.594429045 1.069304350 0.3693043499 --80 5 2.23789759481812 -1.695763887 0.8921044479 0.3871724165 --80 -2.84217e-14 2.31537641850755 -1.780200648 0.7000000000 0.4020608957 --80 -5 2.39010460515275 -1.845105241 0.4948298767 0.4135053265 --80 -10 2.46118453678874 -1.888056653 0.2789211805 0.4210788195 --80 -15 2.52774161486961 -1.906949497 0.05505982618 0.4244101374 --80 -20 2.58893996102539 -1.900084623 -0.1735593625 0.4231996750 --80 -25 2.64398819627939 -1.866242873 -0.4033971728 0.4172324614 --80 -30 2.69215235176969 -1.804755568 -0.6306512478 0.4063905906 --80 -35 2.73276613368016 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-1.479298833 0.5268337904 1.142748714 +-60 -10 2.35430192769174 -1.515521326 0.3446092101 1.163661780 +-60 -15 2.41438759041842 -1.536801571 0.1542406640 1.175947935 +-60 -20 2.47185787710174 -1.541667439 -0.04310617609 1.178757246 +-60 -25 2.52619354272165 -1.528579638 -0.2459422204 1.171201000 +-60 -30 2.57678868691238 -1.495971934 -0.4523749335 1.152374934 +-60 -35 2.62294196048629 -1.442321151 -0.6600279119 1.121399640 +-60 -40 2.66385164230960 -1.366249004 -0.8659688513 1.077479365 +-60 -45 2.69862193741339 -1.266662757 -1.066662757 1.019983218 + +-55 45 1.62868173003052 -0.5320748861 1.732074886 0.7226666152 +-55 40 1.69141433496651 -0.6418109636 1.658093158 0.7995046439 +-55 35 1.75490196619652 -0.7469715216 1.573138859 0.8731388593 +-55 30 1.81874877376877 -0.8468060924 1.477578860 0.9430437784 +-55 25 1.88263110576240 -0.9406390751 1.371781033 1.008746340 +-55 20 1.94628586677054 -1.027843330 1.256089495 1.069807417 +-55 15 2.00950941235963 -1.107819845 1.130814029 1.125807575 +-55 10 2.07213100999750 -1.179956752 0.9962217019 1.176318382 +-55 5 2.13399560716513 -1.243594969 0.8525447935 1.220878341 +-55 -2.84217e-14 2.19496562645235 -1.298010580 0.7000000000 1.258980562 +-55 -5 2.25488671875606 -1.342369836 0.5388135253 1.290041248 +-55 -10 2.31357133895831 -1.375701765 0.3692631710 1.313380515 +-55 -15 2.37078730440253 -1.396880329 0.1917324476 1.328209906 +-55 -20 2.42623837954002 -1.404608253 0.006779287962 1.333621056 +-55 -25 2.47954116682223 -1.397410429 -0.1847770135 1.328581085 +-55 -30 2.53020087573179 -1.373645224 -0.3817495747 1.311940510 +-55 -35 2.57759331788273 -1.331547017 -0.5824630280 1.282463028 +-55 -40 2.62094518779132 -1.269302700 -0.7846212434 1.238879088 +-55 -45 2.65932040012407 -1.185177496 -0.9851774956 1.179973986 + +-50 45 1.63132388118214 -0.4920413351 1.692041335 0.8324215184 +-50 40 1.69156299808290 -0.5900440038 1.614655522 0.9146555216 +-50 35 1.75180480807254 -0.6825783279 1.528050260 0.9923010387 +-50 30 1.81174970876890 -0.7692809301 1.432819687 1.065053160 +-50 25 1.87119926067612 -0.8498836494 1.329461083 1.132686872 +-50 20 1.93003551206853 -0.9241719936 1.218356214 1.195022195 +-50 15 1.98819053670321 -0.9919373540 1.099763409 1.251884084 +-50 10 2.04564420770999 -1.052951561 0.9738272599 1.303081082 +-50 5 2.10239421174805 -1.106922533 0.8405875048 1.348368105 +-50 -2.84217e-14 2.15844682824517 -1.153466199 0.7000000000 1.387422877 +-50 -5 2.21379532221113 -1.192069721 0.5519630815 1.419815079 +-50 -10 2.26840447477136 -1.222060100 0.3963543419 1.444979995 +-50 -15 2.32220060778486 -1.242578373 0.2330775323 1.462196870 +-50 -20 2.37504536206206 -1.252544483 0.06212597403 1.470559429 +-50 -25 2.42670966129602 -1.250629002 -0.1163317101 1.468952150 +-50 -30 2.47684858725546 -1.235237855 -0.3018400428 1.456037444 +-50 -35 2.52496978090183 -1.204513270 -0.4935130405 1.430256456 +-50 -40 2.57039614333534 -1.156364502 -0.6898548430 1.389854843 +-50 -45 2.61223469703738 -1.088553215 -0.8885532152 1.332954417 + +-45 45 1.63462115016247 -0.4437489611 1.643748961 0.9437489611 +-45 40 1.69189384732706 -0.5288751673 1.563328773 1.028875167 +-45 35 1.74839973654284 -0.6079386633 1.475787004 1.107938663 +-45 30 1.80397950032333 -0.6809818018 1.381840161 1.180981802 +-45 25 1.85857514752155 -0.7481130081 1.282004654 1.248113008 +-45 20 1.91220887211929 -0.8094635764 1.176605765 1.309463576 +-45 15 1.96495580081608 -0.8651463433 1.065789860 1.365146343 +-45 10 2.01692468615479 -0.9152232959 0.9495420508 1.415223296 +-45 5 2.06823692953874 -0.9596738423 0.8277049136 1.459673842 +-45 -2.84217e-14 2.11902182297600 -0.9983747005 0.7000000000 1.498374701 +-45 -5 2.16940009051816 -1.031070508 0.5660486875 1.531070508 +-45 -10 2.21946947980561 -1.057343680 0.4253982910 1.557343680 +-45 -15 2.26929726672221 -1.076586539 0.2775549100 1.576586539 +-45 -20 2.31889601198999 -1.087959302 0.1220300810 1.587959302 +-45 -25 2.36820239521900 -1.090349585 -0.04159219079 1.590349585 +-45 -30 2.41705071782609 -1.082331125 -0.2135593008 1.582331125 +-45 -35 2.46513461983865 -1.062124438 -0.3938113070 1.562124438 +-45 -40 2.51195526268539 -1.027571245 -0.5817844684 1.527571245 +-45 -45 2.55676102503130 -0.9761466661 -0.7761466661 1.476146666 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.79973560862896 -1.479712034 -1.279712034 2.424448006e-16 --40 -90 2.81281492485511 -1.308042582 -1.454741243 2.638796966e-16 --35 -90 2.81650679132475 -1.115481928 -1.607147296 2.825440551e-16 --30 -90 2.81076352482220 -0.9053817624 -1.734192617 2.981026196e-16 --25 -90 2.79567132905736 -0.6815017575 -1.833738696 3.102934983e-16 --20 -90 2.77143034500196 -0.4478850038 -1.904292644 3.189338651e-16 --15 -90 2.73836110886325 -0.2087400073 -1.945053717 3.239256568e-16 --10 -90 2.69691176145256 0.03168618730 -1.955939612 3.252587944e-16 --5 -90 2.64763825093561 0.2692431217 -1.937563188 3.230083316e-16 --2.84217e-14 -90 2.59119665804331 0.5000000000 -1.891196658 3.173300693e-16 -5 -90 2.52833432205556 0.7203588558 -1.818713247 3.084534115e-16 -10 -90 2.45988449108957 0.9271544591 -1.722513318 2.966723181e-16 -15 -90 2.38674892138259 1.117736077 -1.605422424 2.823328192e-16 -20 -90 2.30988455095537 1.290027045 -1.470581467 2.658195646e-16 -25 -90 2.23028040894256 1.442557230 -1.321320502 2.475403683e-16 -30 -90 2.14892641675284 1.574463208 -1.161024868 2.279098147e-16 -35 -90 2.06681380265768 1.685475696 -0.9930347516 2.073369589e-16 -40 -90 1.98489268713608 1.775864426 -0.8205160132 1.862095069e-16 -45 -90 1.90406657151011 1.846378385 -0.6463783845 1.648837979e-16 - --45 -85 2.79708499712207 -1.474063874 -1.274063874 0.1727082100 --40 -85 2.80966607612061 -1.301976100 -1.447511491 0.1878829103 --35 -85 2.81289519059675 -1.109282981 -1.598294282 0.2010746951 --30 -85 2.80675167622232 -0.8993649194 -1.723771139 0.2120524976 --25 -85 2.79134229407288 -0.6759812255 -1.821899877 0.2206376497 --20 -85 2.76688741643498 -0.4431492785 -1.891281346 0.2267077418 --15 -85 2.73371970301808 -0.2050257215 -1.931191813 0.2301994552 --10 -85 2.69229255732784 0.03421397936 -1.941603791 0.2311103852 --5 -85 2.64315988034438 0.2705034306 -1.923157792 0.2294965694 --2.84217e-14 -85 2.58696915990253 0.5000000000 -1.877124961 0.2254692186 -5 -85 2.52445327127395 0.7191896789 -1.805349494 0.2191896789 -10 -85 2.45642440035389 0.9249791292 -1.710176409 0.2108631129 -15 -85 2.38375959396595 1.114771085 -1.594356924 0.2007302209 -20 -85 2.30738995085233 1.286520317 -1.460946810 0.1890583484 -25 -85 2.22827818651416 1.438764593 -1.313187166 0.1761310546 -30 -85 2.14739049274496 1.570626571 -1.154379618 0.1622371944 -35 -85 2.06569899400790 1.681805226 -0.9877927774 0.1476627344 -40 -85 1.98413945493843 1.772525553 -0.8165368995 0.1326797865 -45 -85 1.90360654310321 1.843484703 -0.6434847030 0.1175396811 - --45 -80 2.78907692027843 -1.457022322 -1.257022322 0.3450758371 --40 -80 2.80017567301123 -1.283719736 -1.425754403 0.3748278556 --35 -80 2.80203571018526 -1.090674575 -1.571718723 0.4005653035 --30 -80 2.79471442301028 -0.8813446448 -1.692559108 0.4218727236 --25 -80 2.77837775778162 -0.6594810321 -1.786515098 0.4384396997 --20 -80 2.75330338165257 -0.4290188196 -1.852458229 0.4500672529 --15 -80 2.71986115356686 -0.1939584785 -1.889888300 0.4566671843 --10 -80 2.67851449413090 0.04173866112 -1.898929200 0.4582613389 --5 -80 2.62981033495337 0.2742531814 -1.880297944 0.4549761457 --2.84217e-14 -80 2.57437071280584 0.5000000000 -1.835260237 0.4470347829 -5 -80 2.51288501476980 0.7157097757 -1.765574019 0.4347472225 -10 -80 2.44610360698746 0.9184986553 -1.673423815 0.4184986553 -15 -80 2.37483358001952 1.105926481 -1.561348413 0.3987367380 -20 -80 2.29993036463143 1.276041829 -1.432157402 0.3759568771 -25 -80 2.22228012139992 1.427408680 -1.288834332 0.3506851530 -30 -80 2.14277942989482 1.559112468 -1.134436606 0.3234606680 -35 -80 2.06234400077407 1.670762440 -0.9720220456 0.2948225990 -40 -80 1.98186653099743 1.762454523 -0.8045347138 0.2652900635 -45 -80 1.90221416105495 1.834733921 -0.6347339209 0.2353496023 - --45 -75 2.77554482398047 -1.428300304 -1.228300304 0.5166865091 --40 -75 2.78421442071280 -1.253108494 -1.389273346 0.5598191059 --35 -75 2.78385587243226 -1.059627445 -1.527378827 0.5968243578 --30 -75 2.77464629815758 -0.8514149914 -1.640719427 0.6271938803 --25 -75 2.75684937402338 -0.6321885734 -1.727986231 0.6505769498 --20 -75 2.73082170590448 -0.4057265154 -1.788463149 0.6667816912 --15 -75 2.69698309372004 -0.1757636546 -1.821984293 0.6757636546 --10 -75 2.65581332013774 0.05408650568 -1.828901093 0.6776170057 --5 -75 2.60784362051318 0.2804002436 -1.810036701 0.6725623070 --2.84217e-14 -75 2.55365018675383 0.5000000000 -1.766636667 0.6609333029 -5 -75 2.49385031263823 0.7100006752 -1.700318701 0.6431634574 -10 -75 2.42909917209321 0.9078479808 -1.613020838 0.6197720657 -15 -75 2.36009622994031 1.091352336 -1.506956964 0.5913523364 -20 -75 2.28757977729394 1.258717296 -1.384558638 0.5585558037 -25 -75 2.21231450577733 1.408557873 -1.248408647 0.5220745235 -30 -75 2.13508870877500 1.539913048 -1.101182235 0.4826253252 -35 -75 2.05672732799472 1.652260941 -0.9455991662 0.4409369677 -40 -75 1.97804653002123 1.745496808 -0.7843252956 0.3977237643 -45 -75 1.89986496609171 1.819924708 -0.6199247078 0.3536727595 - --45 -70 2.75621722132106 -1.387432964 -1.187432964 0.6869694182 --40 -70 2.76157929054076 -1.209890064 -1.337767626 0.7416867603 --35 -70 2.75825084593890 -1.016117063 -1.465239562 0.7880827505 --30 -70 2.74655654828957 -0.8097530653 -1.568558855 0.8256878977 --25 -70 2.72688817977242 -0.5944257878 -1.647003676 0.8542394777 --20 -70 2.69968482528939 -0.3736600628 -1.700361295 0.8736600628 --15 -70 2.66542066942725 -0.1508127931 -1.728866410 0.8840350762 --10 -70 2.62458389389500 0.07097380873 -1.733128439 0.8855863278 --5 -70 2.57767614352765 0.2887954768 -1.714078747 0.8786528070 --2.84217e-14 -70 2.52520897725172 0.5000000000 -1.672920242 0.8636723363 -5 -70 2.46770441468467 0.7021938775 -1.611086595 0.8411667292 -10 -70 2.40569935748626 0.8932463485 -1.530210867 0.8117303717 -15 -70 2.33975788457623 1.071296074 -1.432105974 0.7760231109 -20 -70 2.27046611405189 1.234758202 -1.318731568 0.7347582018 -25 -70 2.19843841987293 1.382334566 -1.192172584 0.6886944986 -30 -70 2.12432551926635 1.513029155 -1.054617967 0.6386287124 -35 -70 2.04881780180508 1.626165748 -0.9083313689 0.5853847451 -40 -70 1.97263111081736 1.721396158 -0.7556032592 0.5297962593 -45 -70 1.89651161385673 1.798714234 -0.5987142340 0.4726933240 - --45 -65 2.73072494907351 -1.333799045 -1.133799045 0.8551145382 --40 -65 2.73200510087524 -1.153755630 -1.270869214 0.9190314076 --35 -65 2.72509314119861 -0.9601520842 -1.385313289 0.9723975562 --30 -65 2.71048079225568 -0.7566407764 -1.476565672 1.014949241 --25 -65 2.68868843184859 -0.5466569901 -1.544563159 1.046656990 --20 -65 2.66023696267121 -0.3333599634 -1.589637682 1.067675585 --15 -65 2.62563227560606 -0.1196115948 -1.612421953 1.078300065 --10 -65 2.58535599670551 0.09201994635 -1.613769861 1.078928605 --5 -65 2.53986259024383 0.2992402029 -1.594694981 1.070033843 --2.84217e-14 -65 2.48958165288713 0.5000000000 -1.556327238 1.052142671 -5 -65 2.43492534679120 0.6924651831 -1.499887110 1.025824206 -10 -65 2.37629761061245 0.8749897608 -1.426672613 0.9916837257 -15 -65 2.31410672875049 1.046096030 -1.338058128 0.9503621128 -20 -65 2.24877377332211 1.204462819 -1.235495688 0.9025364614 -25 -65 2.18074249555417 1.348922973 -1.120521190 0.8489229729 -30 -65 2.11049783877774 1.478474981 -0.9947683816 0.7902834751 -35 -65 2.03857269231533 1.592302542 -0.8599696983 0.7274258168 -40 -65 1.96555534132296 1.689803127 -0.7179521513 0.6612019471 -45 -65 1.89209337167742 1.770621935 -0.5706219347 0.5925007388 - --45 -60 2.69859744317109 -1.266646722 -1.066646722 1.019973960 --40 -60 2.69517989851853 -1.084385445 -1.188197046 1.090151073 --35 -60 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-0.7761466301 1.476146630 +-40 -45 2.53801766507024 -0.7950834245 -0.8434203238 1.543420324 +-35 -45 2.51523865872137 -0.6160431007 -0.8938747297 1.593874730 +-30 -45 2.48924985948705 -0.4408480113 -0.9295965578 1.629596558 +-25 -45 2.46066153640521 -0.2705453652 -0.9524398683 1.652439868 +-20 -45 2.42990718755473 -0.1056387406 -0.9639787643 1.663978764 +-15 -45 2.39727728578645 0.05373056078 -0.9655002210 1.665500221 +-10 -45 2.36294879497662 0.2076464519 -0.9580193622 1.658019362 +-5 -45 2.32700832700794 0.3563170432 -0.9423037115 1.642303712 +-2.84217e-14 -45 2.28946533134806 0.5000000000 -0.9188964611 1.618896461 +5 -45 2.25027309219111 0.6389448795 -0.8881472397 1.588147240 +10 -45 2.20934300718102 0.7733488210 -0.8502381987 1.550238199 +15 -45 2.16654523981459 0.9033171027 -0.8051999188 1.505199919 +20 -45 2.12172409417470 1.028826086 -0.7529377313 1.452937731 +25 -45 2.07471395351356 1.149687573 -0.6932594960 1.393259496 +30 -45 2.02534831522596 1.265509709 -0.6259017090 1.325901709 +35 -45 1.97348541100391 1.375660355 -0.5505725908 1.250572591 +40 -45 1.91902479379513 1.479227700 -0.4669981298 1.166998130 +45 -45 1.86195905466753 1.575002561 -0.3750025614 1.075002561 diff --git a/test/Kerr-definition-mean-curvature.par b/test/Kerr-definition-mean-curvature.par index 615098c..3c3249d 100644 --- a/test/Kerr-definition-mean-curvature.par +++ b/test/Kerr-definition-mean-curvature.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-definition-mean-curvature/BH_diagnostics.ah1.gp b/test/Kerr-definition-mean-curvature/BH_diagnostics.ah1.gp index 159b11f..d7e6937 100644 --- a/test/Kerr-definition-mean-curvature/BH_diagnostics.ah1.gp +++ b/test/Kerr-definition-mean-curvature/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 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 0.000038 0.000000 1.155880774 2.876137839 2.115259643 1.356082179 2.050374417e-06 0.000000000 1.356081086 0.000000000 1.256767681 -2.015711963 2.016004567 -2.015808591 2.015888182 -1.943849457 1.943849457 13.23698376 11.69728253 12.06833376 0.8836818676 0.9117132707 51.30971292 1.010333759 2.020667518 0.03620639586 -1.363793604 -0.04921681045 0.7000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +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 0.03626457736 -1.363735423 -0.04929413745 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/h.t0.ah1.gp b/test/Kerr-definition-mean-curvature/h.t0.ah1.gp index 445fccd..7fc2f19 100644 --- a/test/Kerr-definition-mean-curvature/h.t0.ah1.gp +++ b/test/Kerr-definition-mean-curvature/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.59894701352409 -1.000502758 -0.8005027579 1.500502758 --40 -45 2.57851979158886 -0.8157505906 -0.8680504933 1.568050493 --35 -45 2.55446544725727 -0.6334485213 -0.9187322464 1.618732246 --30 -45 2.52758826002201 -0.4553385647 -0.9546949325 1.654694932 --25 -45 2.49847228306946 -0.2823856347 -0.9778314081 1.677831408 --20 -45 2.46752129508272 -0.1150138151 -0.9897365696 1.689736570 --15 -45 2.43499579262398 0.04670900470 -0.9917050251 1.691705025 --10 -45 2.40104546445615 0.2029329784 -0.9847507986 1.684750799 --5 -45 2.36573151931906 0.3539260493 -0.9696328971 1.669632897 -0 -45 2.32904465709365 0.5000000000 -0.9468832707 1.646883271 -5 -45 2.29091989450067 0.6414546482 -0.9168340276 1.616834028 -10 -45 2.25125164163448 0.7785339261 -0.8796443913 1.579644391 -15 -45 2.20989745591181 0.9113874120 -0.8353187231 1.535318723 -20 -45 2.16668839081247 1.040033148 -0.7837288805 1.483728881 -25 -45 2.12144175543298 1.164320179 -0.7246392213 1.424639221 -30 -45 2.07397179715100 1.283887657 -0.6577332499 1.357733250 -35 -45 2.02410891273135 1.398122641 -0.5826520596 1.282652060 -40 -45 1.97172085963340 1.506117112 -0.4990436826 1.199043683 -45 -45 1.91675246092189 1.606637549 -0.4066375493 1.106637549 - --45 -40 2.55297120841059 -1.052513879 -0.6027138229 1.552513879 --40 -40 2.53129710321845 -0.8687133585 -0.6687133585 1.631169062 --35 -40 2.50582277110383 -0.6844625536 -0.7194107284 1.691587835 --30 -40 2.47731624637024 -0.5020292023 -0.7563123618 1.735565489 --25 -40 2.44636691510149 -0.3229443015 -0.7808512102 1.764809750 --20 -40 2.41340929775147 -0.1481775589 -0.7943132691 1.780853207 --15 -40 2.37874927137257 0.02170735111 -0.7978033023 1.785012467 --10 -40 2.34258895828653 0.1864241039 -0.7922357186 1.778377279 --5 -40 2.30504721665678 0.3458610498 -0.7783393763 1.761816263 -0 -40 2.26617687567042 0.5000000000 -0.7566704170 1.735992203 -5 -40 2.22598026117950 0.6488517277 -0.7276298755 1.701383033 -10 -40 2.18442563737595 0.7924043607 -0.6914852408 1.658307535 -15 -40 2.14145491719689 0.9305801192 -0.6483885357 1.606946882 -20 -40 2.09699468748990 1.063197009 -0.5983984895 1.547371064 -25 -40 2.05097126228416 1.189935391 -0.5415076647 1.479571220 -30 -40 2.00332245550319 1.310307366 -0.4776709013 1.403493528 -35 -40 1.95401885230243 1.423633621 -0.4068441689 1.319085515 -40 -40 1.90307995774468 1.529026169 -0.3290261689 1.226345634 -45 -40 1.85060344976234 1.625389715 -0.2443140944 1.125389715 - --45 -35 2.50540177149663 -1.087641219 -0.4116783498 1.587641219 --40 -35 2.48190233762984 -0.9058611190 -0.4731557453 1.675440039 --35 -35 2.45458843842646 -0.7212628344 -0.5212628344 1.744144083 --30 -35 2.42418253009658 -0.5364230153 -0.5569686840 1.795137321 --25 -35 2.39126697775173 -0.3532780514 -0.5812822464 1.829860686 --20 -35 2.35629488588866 -0.1732365757 -0.5951754868 1.849702290 --15 -35 2.31960827946640 0.002704599202 -0.5995373682 1.855931702 --10 -35 2.28145661528867 0.1738541347 -0.5951494579 1.849665117 --5 -35 2.24201395889523 0.3397337111 -0.5826766244 1.831852064 -0 -35 2.20139483514074 0.5000000000 -0.5626682045 1.803277079 -5 -35 2.15966929025981 0.6543800301 -0.5355664888 1.764571818 -10 -35 2.11687901045946 0.8026186569 -0.5017211655 1.716235687 -15 -35 2.07304449801546 0.9444351676 -0.4614024726 1.658654626 -20 -35 2.02818010802138 1.079488178 -0.4148219072 1.592130685 -25 -35 1.98230594088950 1.207348099 -0.3621538425 1.516912893 -30 -35 1.93545785975685 1.327476086 -0.3035588858 1.433230622 -35 -35 1.88770592140102 1.439214513 -0.2392145127 1.341337334 -40 -35 1.83916677687943 1.541786787 -0.1693448723 1.241553147 -45 -35 1.79002015220296 1.634312991 -0.09425450703 1.134312991 - --45 -30 2.45694965323995 -1.108451109 -0.2286396809 1.608451109 --40 -30 2.43112592161981 -0.9291589691 -0.2833460591 1.703205336 --35 -30 2.40159727381766 -0.7452579488 -0.3267670265 1.778412657 --30 -30 2.36904525360384 -0.5594692458 -0.3594692458 1.835054563 --25 -30 2.33404153902765 -0.3739902144 -0.3821149443 1.874278063 --20 -30 2.29705283608551 -0.1905551347 -0.3953977973 1.897284639 --15 -30 2.25845219877341 -0.01051097895 -0.3999982812 1.905252911 --10 -30 2.21853211483891 0.1651041774 -0.3965547789 1.899288590 --5 -30 2.17751788789579 0.3354866550 -0.3856472161 1.880396137 -0 -30 2.13558155727783 0.5000000000 -0.3677907786 1.849467880 -5 -30 2.09285547093634 0.6581170267 -0.3434369924 1.807285885 -10 -30 2.04944685752789 0.8093717628 -0.3129809394 1.754534454 -15 -30 2.00544411325929 0.9533198613 -0.2767685492 1.691812754 -20 -30 1.96093055940361 1.089507845 -0.2351108437 1.619659492 -25 -30 1.91599642041558 1.217451722 -0.1882996833 1.538580184 -30 -30 1.87074352486550 1.336621938 -0.1366219380 1.449071703 -35 -30 1.82530028288952 1.446440817 -0.08037985982 1.351657566 -40 -30 1.77982891058345 1.546288236 -0.01990830649 1.246917764 -45 -30 1.73453479160570 1.635519568 0.04440747157 1.135519568 - --45 -25 2.40806944565186 -1.117122021 -0.05407638274 1.617122021 --40 -25 2.37952573873558 -0.9403904615 -0.1004592994 1.716590507 --35 -25 2.34748474400958 -0.7578229675 -0.1376551956 1.796357364 --30 -25 2.31259644654055 -0.5721725099 -0.1659600227 1.857057262 --25 -25 2.27542493124872 -0.3857811049 -0.1857811049 1.899563709 --20 -25 2.23644969444248 -0.2006021124 -0.1975902411 1.924888484 --15 -25 2.19607188762742 -0.01824149832 -0.2018873214 1.934103602 --10 -25 2.15462231885144 0.1599915329 -0.1991735206 1.928283838 --5 -25 2.11237181676433 0.3330305982 -0.1899337079 1.908468995 -0 -25 2.06954219829907 0.5000000000 -0.1746263264 1.875642210 -5 -25 2.02631786798606 0.6601673908 -0.1536795272 1.830721654 -10 -25 1.98285841869069 0.8129034010 -0.1274924889 1.774563369 -15 -25 1.93930315065430 0.9576477556 -0.09643700820 1.707964676 -20 -25 1.89578192708873 1.093882718 -0.06086457979 1.631679357 -25 -25 1.85242745968595 1.221115964 -0.02111596362 1.546438174 -30 -25 1.80937532701988 1.338867710 0.02247292795 1.452961495 -35 -25 1.76677596704183 1.446669151 0.06955966508 1.351983661 -40 -25 1.72479695147145 1.544065646 0.1197878439 1.244268984 -45 -25 1.68362940103827 1.630629428 0.1727788391 1.130629428 - --45 -20 2.35902481381258 -1.115439147 0.1120282352 1.615439147 --40 -20 2.32747645993521 -0.9411061401 0.07490171617 1.717443420 --35 -20 2.29271890845240 -0.7602299254 0.04492824464 1.799794856 --30 -20 2.25538150462922 -0.5755259494 0.02197237509 1.862865589 --25 -20 2.21602625442858 -0.3893933742 0.005795842938 1.907310246 --20 -20 2.17514599024980 -0.2039111250 -0.003911124951 1.933979921 --15 -20 2.13316652528786 -0.02085289213 -0.007503342128 1.943849457 --10 -20 2.09045107265864 0.1582855424 -0.005359387925 1.937958991 --5 -20 2.04730744145345 0.3322517772 0.002134042454 1.917370960 -0 -20 2.00399626503538 0.5000000000 0.01459291021 1.883140502 -5 -20 1.96074017652083 0.6606552457 0.03164223747 1.836297861 -10 -20 1.91773421931348 0.8134813903 0.05291868208 1.777841310 -15 -20 1.87514855632972 0.9578529323 0.07807299390 1.708730406 -20 -20 1.83313708311071 1.093231715 0.1067682849 1.629890742 -25 -20 1.79184798910435 1.219151105 0.1386761798 1.542224521 -30 -20 1.75142264512511 1.335202603 0.1734758027 1.446613343 -35 -20 1.71200516322135 1.441031249 0.2108487903 1.343931903 -40 -20 1.67374238705454 1.536332901 0.2504773038 1.235053457 -45 -20 1.63678803490592 1.620857844 0.2920411079 1.120857844 - --45 -15 2.30994082478923 -1.104823513 0.2699888358 1.604823513 --40 -15 2.27521275521231 -0.9326104980 0.2425253310 1.707318708 --35 -15 2.23763326011618 -0.7536116825 0.2202790321 1.790343026 --30 -15 2.19782193919585 -0.5704677995 0.2031941653 1.854104617 --25 -15 2.15634325383384 -0.3855714844 0.1911338900 1.899114177 --20 -15 2.11370217502603 -0.2010476376 0.1838996966 1.926112554 --15 -15 2.07034397485227 -0.01875119797 0.1812488020 1.936005827 --10 -15 2.02665563037583 0.1597226593 0.1829093184 1.929808696 --5 -15 1.98297033166434 0.3330192047 0.1885923794 1.908599223 -0 -15 1.93957334630121 0.5000000000 0.1980014786 1.873483987 -5 -15 1.89670926232428 0.6597169741 0.2108390906 1.825573367 -10 -15 1.85458997024355 0.8113873584 0.2268109799 1.765965465 -15 -15 1.81339619760433 0.9543696416 0.2456303584 1.695730588 -20 -15 1.77328550262659 1.088142278 0.2670188559 1.615907628 -25 -15 1.73440021062179 1.212287047 0.2907064022 1.527504502 -30 -15 1.69686600094514 1.326472965 0.3164325622 1.431493166 -35 -15 1.66080199260787 1.430447727 0.3439445402 1.328817066 -40 -15 1.62631938151499 1.524028286 0.3729976487 1.220389389 -45 -15 1.59352527259810 1.607096250 0.4033544538 1.107096250 - --45 -10 2.26084478447650 -1.086375649 0.4202791716 1.586375649 --40 -10 2.22286387723241 -0.9159705071 0.4024503468 1.687487939 --35 -10 2.18245625348992 -0.7389484045 0.3880067416 1.769401694 --30 -10 2.14023837024492 -0.5578564976 0.3769229146 1.832261201 --25 -10 2.09677827035054 -0.3750338669 0.3691195672 1.876516183 --20 -10 2.05258882588326 -0.1925839197 0.3644746742 1.902858681 --15 -10 2.00812581017778 -0.01236289400 0.3628338331 1.912164352 --10 -10 1.96378788766424 0.1640197137 0.3640197137 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0.9557246432 +10 45 1.33483456297882 0.6651511118 1.636618498 0.9366184978 +15 45 1.31716162097083 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 1.26305162841179 1.060431930 1.500379744 0.8003797436 +40 45 1.25419219684907 1.139981174 1.462699863 0.7626998634 +45 45 1.24768386561738 1.220350616 1.420350616 0.7203506157 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.91675276456651 1.606637725 -0.4066377246 1.106637725 -45 -40 1.85060364075386 1.625389831 -0.2443141919 1.125389831 -45 -35 1.79002030630714 1.634313089 -0.09425457541 1.134313089 -45 -30 1.73453490331985 1.635519641 0.04440742935 1.135519641 -45 -25 1.68362945035041 1.630629461 0.1727788237 1.130629461 -45 -20 1.63678809336815 1.620857884 0.2920410933 1.120857884 -45 -15 1.59352529614485 1.607096267 0.4033544494 1.107096267 -45 -10 1.55340392757951 1.589982904 0.5078066055 1.089982904 -45 -5 1.51603673603068 1.569954383 0.6063911210 1.069954383 -45 0 1.48109299033079 1.547290897 0.7000000000 1.047290897 -45 5 1.44829336024046 1.522143983 0.7894260110 1.022143983 -45 10 1.41741318822587 1.494561759 0.8753680721 0.9945617591 -45 15 1.38827864891964 1.464501858 0.9584374940 0.9645018581 -45 20 1.36076814781031 1.431841888 1.039162710 0.9318418879 -45 25 1.33481619745413 1.396386386 1.117991836 0.8963863859 -45 30 1.31041713070270 1.357869385 1.195291120 0.8578693848 -45 35 1.28763222274928 1.315956153 1.271338649 0.8159561534 -45 40 1.26660129842377 1.270246091 1.346313211 0.7702460913 -45 45 1.24755320139116 1.220275177 1.420275177 0.7202751767 - -50 -45 1.92870233632881 1.672883241 -0.4728832409 0.9841658949 -50 -40 1.85926486045088 1.698111164 -0.3053346358 1.005334636 -50 -35 1.79494926124900 1.711703545 -0.1484439562 1.016739998 -50 -30 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0.9556357517 -0 45 1.37518138892306 0.5000000000 1.672400085 0.9724000855 --5 45 1.39824610346242 0.4136641961 1.686822754 0.9868227538 --10 45 1.42346545958761 0.3238831165 1.698808480 0.9988084796 --15 45 1.45111246757445 0.2298655642 1.708155439 1.008155439 --20 45 1.48152297272476 0.1307399262 1.714533715 1.014533715 --25 45 1.51509862006429 0.02555351384 1.717453773 1.017453773 --30 45 1.55231175067401 -0.08671869279 1.716226586 1.016226586 --35 45 1.59370182657022 -0.2071455911 1.709908566 1.009908566 --40 45 1.63986851249329 -0.3367816182 1.697237500 0.9972374997 --45 45 1.69144374626856 -0.4765555022 1.676555502 0.9765555022 - -45 50 1.22659371452520 1.245916663 1.445916663 0.6258983970 -40 50 1.23081979800644 1.165524208 1.493140866 0.6655242078 -35 50 1.23781661389448 1.085096218 1.535603998 0.7011550066 -30 50 1.24729660559376 1.004508710 1.573834718 0.7332343895 -25 50 1.25904809396554 0.9235368161 1.608277633 0.7621354271 -20 50 1.27293147913067 0.8418755449 1.639295340 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1.44880146314369 -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 1.62121433551852 -0.5420964875 1.941922233 0.000000000 +-45 90 1.68748314245462 -0.6932307732 1.893230773 0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.68728858421396 -0.6930931997 1.893093200 1.461117768e-16 --90 40 1.75753506459456 -0.8463499698 1.829721763 1.648803181e-16 --90 35 1.83133264750972 -1.000139882 1.750409254 1.837141505e-16 --90 30 1.90815093651106 -1.152507185 1.654075468 2.023737635e-16 --90 25 1.98735114104006 -1.301151815 1.539890885 2.205774805e-16 --90 20 2.06819577061754 -1.443468304 1.407364614 2.380062238e-16 --90 15 2.14985358720041 -1.576599103 1.256423053 2.543100444e-16 --90 10 2.23142717975995 -1.697526787 1.087483263 2.691194146e-16 --90 5 2.31197100772213 -1.803173260 0.9015015504 2.820573761e-16 --90 -2.84217e-14 2.39051495834311 -1.890514958 0.7000000000 2.927536492e-16 --90 -5 2.46607887621489 -1.956694702 0.4850670639 3.008583303e-16 --90 -10 2.53770069529136 -1.999147320 0.2593328988 3.060572765e-16 --90 -15 2.60445667257585 -2.015711963 0.02591701099 3.080858604e-16 --90 -20 2.66547529643527 -2.004727467 -0.2116462429 3.067406475e-16 --90 -25 2.71995389381714 -1.965115394 -0.4495021866 3.018895677e-16 --90 -30 2.76717211043754 -1.896441344 -0.6835860552 2.934794222e-16 --90 -35 2.80649857678040 -1.798949046 -0.9097414523 2.815400591e-16 --90 -40 2.83741071244375 -1.673582709 -1.123852450 2.661871107e-16 --90 -45 2.85949819382210 -1.521970564 -1.321970564 2.476199779e-16 - --85 45 1.68731151525113 -0.6908328526 1.890832853 0.1041843748 --85 40 1.75739101618084 -0.8432263122 1.827100703 0.1175170749 --85 35 1.83095403983757 -0.9959928882 1.747505497 0.1308824184 --85 30 1.90746951513524 -1.147195795 1.651008936 0.1441109587 --85 25 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-1.523742423 0.5229454801 1.168408233 +-60 -10 2.40498474720019 -1.558910962 0.3369584466 1.188712798 +-60 -15 2.46446875835011 -1.579050546 0.1429200852 1.200340392 +-60 -20 2.52154552682635 -1.582707686 -0.05804360422 1.202451843 +-60 -25 2.57571830822309 -1.568348931 -0.2644869463 1.194161812 +-60 -30 2.62639826057692 -1.534399345 -0.4745610093 1.174561009 +-60 -35 2.67289276350086 -1.479310342 -0.6859280222 1.142755359 +-60 -40 2.71440029898579 -1.401662531 -0.8956843282 1.097925374 +-60 -45 2.75001126272688 -1.300304968 -1.100304968 1.039406558 + +-55 45 1.68931214492650 -0.5704956084 1.770495608 0.7495690946 +-55 40 1.75099973609524 -0.6820348537 1.691845010 0.8276697150 +-55 35 1.81330788569196 -0.7884727106 1.602198305 0.9021983048 +-55 30 1.87587562781865 -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 2.06255666759855 -1.150263254 1.142186706 1.155526770 +-55 10 2.12385395127063 -1.221890541 1.003615760 1.205680737 +-55 5 2.18446966613403 -1.284835126 0.8561528398 1.249755010 +-55 -2.84217e-14 2.24429727081957 -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 2.47266649114154 -1.441054534 -0.006486073287 1.359141016 +-55 -25 2.52580874874289 -1.432815605 -0.2012867184 1.353372057 +-55 -30 2.57658770489597 -1.407995249 -0.4015815703 1.335992656 +-55 -35 2.62439698798357 -1.364804056 -0.6057498576 1.305749858 +-55 -40 2.66847436771927 -1.301387884 -0.8115439087 1.261345375 +-55 -45 2.70788247627085 -1.215950665 -1.015950665 1.201521591 + +-50 45 1.69025364779127 -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 1.86647312462295 -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 2.31276309588350 -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 2.46972789186169 -1.281662365 -0.1308028049 1.494992233 +-50 -30 2.51996650684281 -1.265445534 -0.3192804542 1.481384696 +-50 -35 2.56851394949040 -1.233908320 -0.5140956761 1.454921832 +-50 -40 2.61472065058778 -1.184927236 -0.7138218223 1.413821822 +-50 -45 2.65770679873679 -1.116205728 -0.9162057279 1.356157630 + +-45 45 1.69159338637552 -0.4766418970 1.676641897 0.9766418970 +-45 40 1.74731916514365 -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 1.96119235181833 -0.8430070263 1.188814582 1.343007026 +-45 15 2.01241791511390 -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 2.35911047032186 -1.115497804 0.1120068859 1.615497804 +-45 -25 2.40815380439805 -1.117178672 -0.05410279931 1.617178672 +-45 -30 2.45702951512513 -1.108503391 -0.2286698659 1.608503391 +-45 -35 2.50547375268658 -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 @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.85949819994973 -1.521970568 -1.321970568 2.476199784e-16 --40 -90 2.87246429118832 -1.346384456 -1.500435308 2.694756057e-16 --35 -90 2.87613783896034 -1.149684892 -1.655994190 2.885260744e-16 --30 -90 2.87046294862520 -0.9352314743 -1.785893834 3.044341927e-16 --25 -90 2.85552106629252 -0.7067953494 -1.887980978 3.169362621e-16 --20 -90 2.83151417990830 -0.4684348856 -1.960752981 3.258482621e-16 --15 -90 2.79876210681611 -0.2243729360 -2.003396601 3.310705994e-16 --10 -90 2.75770431605008 0.02112967097 -2.015808591 3.325906298e-16 --5 -90 2.70888647103196 0.2639049876 -1.998578340 3.304805327e-16 --2.84217e-14 -90 2.65295262512148 0.5000000000 -1.952952625 3.248929941e-16 -5 -90 2.59063816326810 0.7257889933 -1.880780003 3.160543970e-16 -10 -90 2.52276083437106 0.9380728216 -1.784434429 3.042554671e-16 -15 -90 2.45020931022405 1.134160834 -1.666720453 2.898396627e-16 -20 -90 2.37392050717714 1.311928632 -1.530755583 2.731887684e-16 -25 -90 2.29486335931508 1.469851164 -1.379852533 2.547084747e-16 -30 -90 2.21401389687130 1.607006948 -1.217392279 2.348128317e-16 -35 -90 2.13233861494949 1.723059184 -1.046709536 2.139102242e-16 -40 -90 2.05077817752384 1.818214803 -0.8709872270 1.923904479e-16 -45 -90 1.97021601371395 1.893153104 -0.6931531037 1.706120489e-16 - --45 -85 2.85660755733976 -1.516072370 -1.316072370 0.1763834773 --40 -85 2.86903367257418 -1.340051440 -1.492887914 0.1918528329 --35 -85 2.87220335414077 -1.143213722 -1.646752402 0.2053142313 --30 -85 2.86609055343394 -0.9289495612 -1.775013241 0.2165356007 --25 -85 2.85080129188229 -0.7010310610 -1.875619422 0.2253375010 --20 -85 2.82655712740833 -0.4634889008 -1.947163999 0.2315968404 --15 -85 2.79369014755515 -0.2204920862 -1.988913072 0.2352494110 --10 -85 2.75264627345940 0.02377235139 -2.000821206 0.2362912377 --5 -85 2.70397001595692 0.2652234936 -1.983507748 0.2347765064 --2.84217e-14 -85 2.64829645245046 0.5000000000 -1.938218885 0.2308142443 -5 -85 2.58634478743075 0.7245635085 -1.866772647 0.2245635085 -10 -85 2.51891215495490 0.9357899612 -1.771487684 0.2162271544 -15 -85 2.44686068294571 1.131044842 -1.655091413 0.2060438002 -20 -85 2.37110032234918 1.308237280 -1.520613675 0.1942785226 -25 -85 2.29257266606581 1.465851597 -1.371275435 0.1812131196 -30 -85 2.21222831740701 1.602952829 -1.210370338 0.1671357477 -35 -85 2.13101315882978 1.719172055 -1.041158140 0.1523315986 -40 -85 2.04985168122012 1.814670014 -0.8667627119 0.1370739757 -45 -85 1.96961765624667 1.890072545 -0.6900725449 0.1216155892 - --45 -80 2.84788227746050 -1.498284502 -1.298284502 0.3523514729 --40 -80 2.85870294805770 -1.321001774 -1.470185406 0.3826622402 --35 -80 2.86038512047944 -1.123798679 -1.619024847 0.4089066494 --30 -80 2.85298702260341 -0.9101470666 -1.742446365 0.4306691932 --25 -80 2.83668562565348 -0.6838142484 -1.838697848 0.4476409265 --20 -80 2.81175588837569 -0.4487418473 -1.906646802 0.4596221604 --15 -80 2.77856728852836 -0.2089370446 -1.945789070 0.4665239983 --10 -80 2.73758124437818 0.03163305664 -1.956240931 0.4683669434 --5 -80 2.68933645242873 0.2691433712 -1.938703341 0.4652745932 --2.84217e-14 -80 2.63444071845438 0.5000000000 -1.894417644 0.4574658299 -5 -80 2.57356655625348 0.7209187692 -1.825113087 0.4452455666 -10 -80 2.50744989420614 0.9289942609 -1.732947353 0.4289942609 -15 -80 2.43687716765732 1.121756581 -1.620427150 0.4091539134 -20 -80 2.36267982815405 1.297214735 -1.490329482 0.3862141844 -25 -80 2.28572064511873 1.453883872 -1.345610564 0.3606963345 -30 -80 2.20687586083548 1.590793437 -1.189309654 0.3331362670 -35 -80 2.12703069650406 1.707484129 -1.024466052 0.3040698922 -40 -80 2.04706063604246 1.803983351 -0.8540268429 0.2740168611 -45 -80 1.96781022503910 1.880760963 -0.6807609632 0.2434654117 - --45 -75 2.83316515962414 -1.468331835 -1.268331835 0.5274129257 --40 -75 2.84136229318610 -1.289092225 -1.432157086 0.5713097694 --35 -75 2.84064344480977 -1.091442115 -1.572814884 0.6089989128 --30 -75 2.83119722014932 -0.8789585972 -1.688426352 0.6399769122 --25 -75 2.81330410170027 -0.6553735171 -1.777706503 0.6638994566 --20 -75 2.78732125607441 -0.4244656153 -1.839948403 0.6805771234 --15 -75 2.75367114326481 -0.1899675714 -1.874994032 0.6899675714 --10 -75 2.71283196455265 0.04451302294 -1.883195012 0.6921650174 --5 -75 2.66532677203571 0.2755597364 -1.865363952 0.6873871993 --2.84217e-14 -75 2.61171759973903 0.5000000000 -1.822725481 0.6759622552 -5 -75 2.55260320543144 0.7149481041 -1.756868072 0.6583158158 -10 -75 2.48862054206507 0.9178416734 -1.669697886 0.6349586348 -15 -75 2.42044343804435 1.106473102 -1.563388431 0.6064731022 -20 -75 2.34878011772161 1.279015498 -1.440327490 0.5734990226 -25 -75 2.27436949587635 1.434042744 -1.303061129 0.5367186120 -30 -75 2.19797270147824 1.570541230 -1.154231801 0.4968399137 -35 -75 2.12037735173395 1.687920231 -0.9965259102 0.4545827476 -40 -75 2.04237766103639 1.786003549 -0.8325993497 0.4106587581 -45 -75 1.96476483364273 1.865013670 -0.6650136695 0.3657543104 - --45 -70 2.81219671577130 -1.425767223 -1.225767223 0.7009219472 --40 -70 2.81683839015931 -1.244104901 -1.378543281 0.7565278850 --35 -70 2.81292369413803 -1.046168876 -1.508157998 0.8037037838 --30 -70 2.80080291721858 -0.8356215835 -1.613364442 0.8419957980 --25 -70 2.78088124909706 -0.6160956927 -1.693474937 0.8711536335 --20 -70 2.75360973674416 -0.3911110041 -1.748307362 0.8911110041 --15 -70 2.71946252430404 -0.1640081325 -1.778112087 0.9019590369 --10 -70 2.67892661644860 0.06209070488 -1.783507024 0.9039226333 --5 -70 2.63249492832871 0.2843038438 -1.765418347 0.8973388934 --2.84217e-14 -70 2.58066387703831 0.5000000000 -1.725030802 0.8826390291 -5 -70 2.52393515560058 0.7068012005 -1.663748539 0.8603341093 -10 -70 2.46282334062697 0.9025840896 -1.583167828 0.8310051294 -15 -70 2.39785980003331 1.085482754 -1.485051385 0.7952936643 -20 -70 2.32960067514201 1.253895067 -1.371309673 0.7538950669 -25 -70 2.25862798365748 1.406491410 -1.243977102 0.7075498011 -30 -70 2.18555549654573 1.542227954 -1.105191769 0.6570360710 -35 -70 2.11103865696397 1.660366445 -0.9571750255 0.6031623823 -40 -70 2.03575949466425 1.760483428 -0.8021856541 0.5467508644 -45 -70 1.96043103984367 1.842485687 -0.6424856866 0.4886248299 - --45 -65 2.78462498156936 -1.369995231 -1.169995231 0.8719930969 --40 -65 2.78491039390491 -1.185780617 -1.309035106 0.9368284556 --35 -65 2.77717566650270 -0.9880588030 -1.425168213 0.9909822128 --30 -65 2.76194006973787 -0.7804984722 -1.517888413 1.034218352 --25 -65 2.73974357351441 -0.5665318184 -1.587184866 1.066531818 --20 -65 2.71111544605256 -0.3492984274 -1.633428252 1.088095463 --15 -65 2.67656472543579 -0.1316309231 -1.657278697 1.099217109 --10 -65 2.63656894393130 0.08393832781 -1.659602997 1.100300948 --5 -65 2.59157205183312 0.2951529026 -1.641413037 1.091818830 --2.84217e-14 -65 2.54198554636015 0.5000000000 -1.603821295 1.074289513 -5 -65 2.48819888099710 0.6966761133 -1.548018261 1.048268131 -10 -65 2.43058984031884 0.8835573030 -1.475261559 1.014341124 -15 -65 2.36953448633045 1.059176186 -1.386873937 0.9731252984 -20 -65 2.30541958568457 1.222207987 -1.284250136 0.9252710342 -25 -65 2.23865428899815 1.371466970 -1.168866947 0.8714669697 -30 -65 2.16968269553649 1.505914432 -1.042294905 0.8124454567 -35 -65 2.09899897298208 1.624679989 -0.9062094851 0.7489877835 -40 -65 2.02714963798566 1.727087800 -0.7623862935 0.6819219278 -45 -65 1.95474186223771 1.812693086 -0.6126930858 0.6121188387 - --45 -60 2.75001563889054 -1.300307833 -1.100307833 1.039408212 --40 -60 2.74533202684087 -1.113867819 -1.223332771 1.110436693 --35 -60 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-0.8005308925 1.500530892 +-40 -45 2.57857927235032 -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 2.49857094397484 -0.2824165299 -0.9778976631 1.677897663 +-20 -45 2.46762956046501 -0.1150407995 -0.9898107087 1.689810709 +-15 -45 2.43511144433146 0.04668747535 -0.9917853737 1.691785374 +-10 -45 2.40116613888943 0.2029180481 -0.9848354727 1.684835473 +-5 -45 2.36585575860034 0.3539183780 -0.9697205799 1.669720580 +-2.84217e-14 -45 2.32916897106876 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 1.91686958858382 1.606705173 -0.4067051730 1.106705173 diff --git a/test/Kerr-modification-radius.par b/test/Kerr-modification-radius.par index 5140cf3..bd82db9 100644 --- a/test/Kerr-modification-radius.par +++ b/test/Kerr-modification-radius.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-modification-radius/BH_diagnostics.ah1.gp b/test/Kerr-modification-radius/BH_diagnostics.ah1.gp index 890449d..cc59d33 100644 --- a/test/Kerr-modification-radius/BH_diagnostics.ah1.gp +++ b/test/Kerr-modification-radius/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.030723 0.031183 0.000000 1.435866965 3.068829559 2.318603755 1.679663373 0.006170202126 0.000000000 1.682958654 0.000000000 1.561192149 -2.212951339 2.278221743 -2.218531452 2.276038269 -2.158934794 2.158934794 14.57636444 13.24930407 13.56161778 0.9089580684 0.9303841048 63.17611973 1.121092756 2.242185512 0.09910310051 -1.205331724 -0.1195214630 0.6522174123 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.030746 0.031179 0.000000 1.435837062 3.068776638 2.318568502 1.679595319 0.006169074048 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 0.6257555222 0.6831015379 40.90462266 diff --git a/test/Kerr-modification-radius/h.t0.ah1.gp b/test/Kerr-modification-radius/h.t0.ah1.gp index 186a810..15c036a 100644 --- a/test/Kerr-modification-radius/h.t0.ah1.gp +++ b/test/Kerr-modification-radius/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.80364114358697 -1.118682969 -0.9186829690 1.618682969 --40 -45 2.78494879934206 -0.9210858646 -0.9935841846 1.693584185 --35 -45 2.76295860963048 -0.7259595657 -1.050851710 1.750851710 --30 -45 2.73841656034861 -0.5350241721 -1.092714453 1.792714453 --25 -45 2.71186078115297 -0.3492073067 -1.121130946 1.821130946 --20 -45 2.68366060227768 -0.1688851475 -1.137746839 1.837746839 --15 -45 2.65405198132154 0.005930208244 -1.143893565 1.843893565 --10 -45 2.62316669215883 0.1754512449 -1.140607454 1.840607454 --5 -45 2.59105464680011 0.3400132958 -1.128656397 1.828656397 -0 -45 2.55770096639851 0.5000000000 -1.108567698 1.808567698 -5 -45 2.52303916603740 0.6557870349 -1.080653958 1.780653958 -10 -45 2.48696187525015 0.8076969462 -1.045036097 1.745036097 -15 -45 2.44932734321243 0.9559589107 -1.001661821 1.701661821 -20 -45 2.40996752993758 1.100668909 -0.9503242646 1.650324265 -25 -45 2.36869791280830 1.241747360 -0.8906823467 1.590682347 -30 -45 2.32532557955594 1.378890457 -0.8222829262 1.522282926 -35 -45 2.27966458120571 1.511515913 -0.7445944346 1.444594435 -40 -45 2.23155894043005 1.638705626 -0.6570565209 1.357056521 -45 -45 2.18090907299637 1.759148440 -0.5591484404 1.259148440 - --45 -40 2.75968245064811 -1.178219202 -0.7081931138 1.678219202 --40 -40 2.73970154040749 -0.9814010144 -0.7814010144 1.765464981 --35 -40 2.71628473873523 -0.7839445770 -0.8386258534 1.833662888 --30 -40 2.69014917546382 -0.5881162372 -0.8814280898 1.884672607 --25 -40 2.66183870925604 -0.3954278215 -0.9112820402 1.920251160 --20 -40 2.63175000911652 -0.2068180678 -0.9295035256 1.941966681 --15 -40 2.60015886390058 -0.02281124602 -0.9372160697 1.951158133 --10 -40 2.56724295001571 0.1563522142 -0.9353409397 1.948923440 --5 -40 2.53310195138166 0.3306109859 -0.9246020176 1.936125291 -0 -40 2.49777423276823 0.5000000000 -0.9055383286 1.913406071 -5 -40 2.46125084224412 0.6645843167 -0.8785203915 1.881207348 -10 -40 2.42348873565314 0.8244050346 -0.8437691030 1.839792375 -15 -40 2.38441833653732 0.9794325219 -0.8013728860 1.789266531 -20 -40 2.34395415557681 1.129523755 -0.7513086529 1.729602301 -25 -40 2.30200634953467 1.274382206 -0.6934659055 1.660667999 -30 -40 2.25849275117242 1.413519093 -0.6276750263 1.582261482 -35 -40 2.21335239739705 1.546216461 -0.5537423536 1.494151954 -40 -40 2.16656760992411 1.671498212 -0.4714982117 1.396137203 -45 -40 2.11818318643848 1.788110412 -0.3808529714 1.288110412 - --45 -35 2.71442177820830 -1.220094538 -0.5044231618 1.720094538 --40 -35 2.69261475673181 -1.025218111 -0.5727561531 1.817684163 --35 -35 2.66737634351308 -0.8271339271 -0.6271339271 1.895343673 --30 -35 2.63938529770717 -0.6284297427 -0.6685539860 1.954497647 --25 -35 2.60918128013785 -0.4310366174 -0.6980445023 1.996614469 --20 -35 2.57717902469938 -0.2363472170 -0.7165880161 2.023097352 --15 -35 2.54368650295991 -0.04533500772 -0.7250749547 2.035217956 --10 -35 2.50892303001553 0.1413366499 -0.7242788052 2.034080937 --5 -35 2.47303614920864 0.3232195101 -0.7148465255 2.020610245 -0 -35 2.43611710123737 0.5000000000 -0.6972993655 1.995550304 -5 -35 2.39821478362905 0.6714320207 -0.6720405401 1.959476963 -10 -35 2.35934868430120 0.8372809341 -0.6393676430 1.912815230 -15 -35 2.31951756144626 0.9972759520 -0.5994865444 1.855859118 -20 -35 2.27871145099116 1.151069568 -0.5525305005 1.788798938 -25 -35 2.23692212351087 1.298203031 -0.4985816013 1.711751925 -30 -35 2.19415498852441 1.438078177 -0.4376965531 1.624799065 -35 -35 2.15044103646851 1.569936481 -0.3699364807 1.528027652 -40 -35 2.10585211203740 1.692849357 -0.2954027870 1.421582506 -45 -35 2.06051510394201 1.805722200 -0.2142765270 1.305722200 - --45 -30 2.66850590541441 -1.246947186 -0.3086004283 1.746947186 --40 -30 2.64441896550857 -1.054545180 -0.3696192020 1.852634803 --35 -30 2.61701387119941 -0.8569541241 -0.4188651736 1.937931328 --30 -30 2.58693462323038 -0.6569123342 -0.4569123342 2.003830943 --25 -30 2.55471483931950 -0.4566221221 -0.4844241244 2.051482761 --20 -30 2.52078337334469 -0.2578144806 -0.5020883940 2.082078174 --15 -30 2.48547648651950 -0.06182859880 -0.5105723843 2.096772876 --10 -30 2.44905185689202 0.1303063495 -0.5104938664 2.096636879 --5 -30 2.41170183139384 0.3177938572 -0.5024045331 2.082625743 -0 -30 2.37356704118585 0.5000000000 -0.4867835206 2.055569355 -5 -30 2.33474960843706 0.6763923364 -0.4640383883 2.016173631 -10 -30 2.29532508164904 0.8464880117 -0.4345112701 1.965031162 -15 -30 2.25535099374453 1.009809968 -0.3984878130 1.902636704 -20 -30 2.21487697392524 1.165850886 -0.3562105148 1.829410275 -25 -30 2.17395644066777 1.314045776 -0.3078958380 1.745726800 -30 -30 2.13265454871424 1.453752109 -0.2537521087 1.651947110 -35 -30 2.09105774237857 1.584239353 -0.1940004903 1.548454271 -40 -30 2.04928353345517 1.704689529 -0.1288977830 1.435693074 -45 -30 2.00748960245257 1.814210437 -0.05875974966 1.314210437 - --45 -25 2.62234077621028 -1.261014419 -0.1211745099 1.761014419 --40 -25 2.59562166420465 -1.071199095 -0.1731527737 1.872482166 --35 -25 2.56578217870067 -0.8747905124 -0.2155504751 1.963404330 --30 -25 2.53344055202572 -0.6745608791 -0.2486558890 2.034399119 --25 -25 2.49912678645970 -0.4728641256 -0.2728641256 2.086313850 --20 -25 2.46328344061202 -0.2716612568 -0.2886290681 2.120121878 --15 -25 2.42627339981712 -0.07256575668 -0.2964269521 2.136844495 --10 -25 2.38838891664311 0.1231021803 -0.2967297062 2.137493753 --5 -25 2.34986246704395 0.3142584902 -0.2899875589 2.123035171 -0 -25 2.31087804246081 0.5000000000 -0.2766192614 2.094366765 -5 -25 2.27158219347785 0.6795539578 -0.2570083961 2.052311128 -10 -25 2.23209547824692 0.8522340576 -0.2315048545 1.997618607 -15 -25 2.19251962671518 1.017403216 -0.2004284716 1.930975089 -20 -25 2.15294599769555 1.174443301 -0.1640763626 1.853017739 -25 -25 2.11346579973115 1.322733392 -0.1227333917 1.764357452 -30 -25 2.07417607927890 1.461635384 -0.07668266220 1.665601344 -35 -25 2.03518607085905 1.590487932 -0.02621736546 1.557378166 -40 -25 1.99662394109189 1.708609780 0.02834674779 1.440365048 -45 -25 1.95864179386926 1.815312057 0.08665991478 1.315312057 - --45 -20 2.57615332826302 -1.264126817 0.05791034923 1.764126817 --40 -20 2.54655475786243 -1.076753089 0.01606311118 1.879101158 --35 -20 2.51410289631150 -0.8819172048 -0.01832521265 1.973582302 --30 -20 2.47939996372191 -0.6823538476 -0.04537352779 2.047896937 --25 -20 2.44297655411482 -0.4804789795 -0.06529981361 2.102643957 --20 -20 2.40528929208605 -0.2783890824 -0.07838908239 2.138606427 --15 -20 2.36672476920280 -0.07788054814 -0.08496716701 2.156679566 --10 -20 2.32760499635802 0.1195193041 -0.08537979532 2.157813253 --5 -20 2.28819563116052 0.3125143578 -0.07997754654 2.142970697 -0 -20 2.24871495950410 0.5000000000 -0.06910581275 2.113100854 -5 -20 2.20934300675236 0.6810247721 -0.05309904206 2.069122613 -10 -20 2.17023121913876 0.8547556762 -0.03227878156 2.011919417 -15 -20 2.13150887628603 1.020448146 -0.006953552791 1.942338923 -20 -20 2.09328978374410 1.177421181 0.02257881856 1.861199399 -25 -20 2.05568100428216 1.325039442 0.05602644783 1.769302793 -30 -20 2.01878755288384 1.462701164 0.09309880529 1.667447328 -35 -20 1.98271598132775 1.589831817 0.1335017548 1.556441137 -40 -20 1.94758048181033 1.705885533 0.1769316735 1.437118416 -45 -20 1.91350547154853 1.810351476 0.2230710663 1.310351476 - --45 -15 2.53004109717609 -1.257737426 0.2290156761 1.757737426 --40 -15 2.49741647740506 -1.072523297 0.1978470591 1.874060289 --35 -15 2.46226701457120 -0.8794604996 0.1721203262 1.970073763 --30 -15 2.42518713104268 -0.6812079428 0.1517994859 2.045912171 --25 -15 2.38671103171198 -0.4801793974 0.1367703953 2.102001501 --20 -15 2.34730780020488 -0.2785271773 0.1268604715 2.138985840 --15 -15 2.30738278612407 -0.07814430791 0.1218556921 2.157663931 --10 -15 2.26728036024894 0.1193215463 0.1215151655 2.158934794 --5 -15 2.22728975246094 0.3124456992 0.1255824535 2.143755468 -0 -15 2.18765197786638 0.5000000000 0.1337940041 2.113109544 -5 -15 2.14856722106855 0.6809252804 0.1458849774 2.067985418 -10 -15 2.11020304089320 0.8543050276 0.1615926296 2.009363662 -15 -15 2.07269965320754 1.019341443 0.1806585566 1.938208653 -20 -15 2.03617567706945 1.175334569 0.2028292551 1.855466480 -25 -15 2.00073610351046 1.321666420 0.2278549478 1.762069323 -30 -15 1.96647590437658 1.457788753 0.2554886928 1.658938783 -35 -15 1.93348283188320 1.583214443 0.2854851320 1.546990548 -40 -15 1.90184263664401 1.697514263 0.3175984735 1.427141926 -45 -15 1.87164153769231 1.800316577 0.3515812232 1.300316577 - --45 -10 2.48400978449874 -1.242964692 0.3926682984 1.742964692 --40 -10 2.44830620227511 -1.059577899 0.3722729318 1.858632564 --35 -10 2.41046500948644 -0.8683856310 0.3554117264 1.954257211 --30 -10 2.37107779440113 -0.6719535945 0.3420768295 2.029883170 --25 -10 2.33068216465366 -0.4726473495 0.3322085485 2.085848972 --20 -10 2.28975484778235 -0.2726084093 0.3257064582 2.122724159 --15 -10 2.24871162879350 -0.07374711886 0.3224392533 2.141253398 --10 -10 2.20790859398743 0.1222536221 0.3222536221 2.142306166 --5 -10 2.16764610789517 0.3139260439 0.3249815972 2.126835050 -0 -10 2.12817425829438 0.5000000000 0.3304464183 2.095842509 -5 -10 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1.050451497 +30 45 1.55220087232637 1.086676785 1.716153999 1.016153999 +35 45 1.54201695465222 1.184212362 1.677156521 0.9771565208 +40 45 1.53391460586467 1.282716136 1.632804767 0.9328047674 +45 45 1.52821681191949 1.382316388 1.582316388 0.8823163877 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 2.18090926414810 1.759148551 -0.5591485507 1.259148551 -45 -40 2.11818335676514 1.788110515 -0.3808530583 1.288110515 -45 -35 2.06051520011890 1.805722261 -0.2142765697 1.305722261 -45 -30 2.00748968935287 1.814210494 -0.05875978251 1.314210494 -45 -25 1.95864185679094 1.815312100 0.08665989508 1.315312100 -45 -20 1.91350551429438 1.810351505 0.2230710556 1.310351505 -45 -15 1.87164155893754 1.800316592 0.3515812193 1.300316592 -45 -10 1.83265082424040 1.785923147 0.4732570541 1.285923147 -45 -5 1.79618080826565 1.767668179 0.5890934052 1.267668179 -45 0 1.76192824397855 1.745871409 0.7000000000 1.245871409 -45 5 1.72963776262139 1.720704922 0.8067978421 1.220704922 -45 10 1.69910363679638 1.692216579 0.9102199497 1.192216579 -45 15 1.67016802513711 1.660343541 1.010913115 1.160343541 -45 20 1.64272361113042 1.624922474 1.109438296 1.124922474 -45 25 1.61671678375339 1.585694733 1.206267768 1.085694733 -45 30 1.59215312514798 1.542308888 1.301777317 1.042308888 -45 35 1.56910636777628 1.494322737 1.396232276 0.9943227372 -45 40 1.54772862459806 1.441205354 1.489765065 0.9412053540 -45 45 1.52826479927312 1.382344093 1.582344093 0.8823440933 - -50 -45 2.19343989665406 1.833875553 -0.6338755526 1.119254484 -50 -40 2.12771472742205 1.871100386 -0.4504898286 1.150489829 -50 -35 2.06658121570882 1.895072183 -0.2768400592 1.170604555 -50 -30 2.00984903235325 1.908065936 -0.1129472471 1.181507607 -50 -25 1.95723190231088 1.911947620 0.04159801179 1.184764727 -50 -20 1.90840079306821 1.908207748 0.1874542960 1.181626602 -50 -15 1.86301799511523 1.898007931 0.3254049039 1.173067939 -50 -10 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1.997015968 0.001929989559 1.048221866 -55 -20 1.90418259299494 1.994792067 0.1559401813 1.046664673 -55 -15 1.85563329539555 1.984702694 0.3021751123 1.039600018 -55 -10 1.81042112558589 1.967778427 0.4411910616 1.027749519 -55 -5 1.76831918603712 1.944816674 0.5735949201 1.011671527 -55 0 1.72911965494237 1.916411900 0.7000000000 0.9917822897 -55 5 1.69264259962888 1.882984628 0.8209954768 0.9683762616 -55 10 1.65874503671352 1.844808756 0.9371260675 0.9416452281 -55 15 1.62732212860852 1.802029638 1.048877790 0.9116909674 -55 20 1.59831319800547 1.754683189 1.156667334 0.8785386272 -55 25 1.57170398457688 1.702709425 1.260832615 0.8421462056 -55 30 1.54753100714862 1.645965962 1.361623757 0.8024140053 -55 35 1.52588477230557 1.584239971 1.459193001 0.7591930007 -55 40 1.50691243166546 1.517260585 1.553582982 0.7122935299 -55 45 1.49081980152966 1.444713536 1.644713536 0.6614955396 - -60 -45 2.21326488013700 1.948921978 -0.7489219780 0.8365354941 -60 -40 2.14336160659931 2.001602567 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1.634673137 0.000000000 +90 45 1.44412183510772 1.521148342 1.721148342 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.52826484368306 1.382344119 1.582344119 0.8823441189 -40 45 1.53396523545779 1.282741971 1.632835556 0.9328355563 -35 45 1.54206908091622 1.184235491 1.677189553 0.9771895526 -30 45 1.55225381143105 1.086696794 1.716188656 1.016188656 -25 45 1.56428869130888 0.9898501412 1.750487018 1.050487018 -20 45 1.57802234833897 0.8933119226 1.780615626 1.080615626 -15 45 1.59337386277962 0.7966173602 1.806991059 1.106991059 -10 45 1.61032362430064 0.6992357287 1.829921966 1.129921966 -5 45 1.62890838620757 0.6005782277 1.849614403 1.149614403 -0 45 1.64921726138559 0.5000000000 1.866172709 1.166172709 --5 45 1.67139168745228 0.3967986075 1.879597314 1.179597314 --10 45 1.69562523651274 0.2902104120 1.889775876 1.189775876 --15 45 1.72216648661274 0.1794070186 1.896469295 1.196469295 --20 45 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-816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.94888794577491 -0.8780718822 2.078071882 1.687651320e-16 --90 40 2.01529434618417 -1.043805035 1.995406236 1.890615895e-16 --90 35 2.08480350348761 -1.207771052 1.895794164 2.091416352e-16 --90 30 2.15693934218546 -1.367964265 1.778469671 2.287596458e-16 --90 25 2.23113789576642 -1.522097649 1.642919619 2.476355413e-16 --90 20 2.30675252052798 -1.667638322 1.488955828 2.654591332e-16 --90 15 2.38305585184097 -1.801855193 1.316780240 2.818959594e-16 --90 10 2.45925720221541 -1.921895559 1.127045532 2.965966645e-16 --90 5 2.53451891756034 -2.024874308 0.9208978788 3.092079239e-16 --90 -2.84217e-14 2.60797114866185 -2.107971149 0.7000000000 3.193843519e-16 --90 -5 2.67872633539385 -2.168532973 0.4665336166 3.268010364e-16 --90 -10 2.74590523065710 -2.204188760 0.2231785607 3.311676109e-16 --90 -15 2.80865390017277 -2.212951339 -0.02693312047 3.322407174e-16 --90 -20 2.86615833844555 -2.193307841 -0.2802838857 3.298350826e-16 --90 -25 2.91765978568621 -2.144297784 -0.5330563070 3.238330817e-16 --90 -30 2.96247612447766 -2.065579582 -0.7812380622 3.141928823e-16 --90 -35 3.00000776987730 -1.957462498 -1.020733766 3.009523582e-16 --90 -40 3.02975255609387 -1.820925110 -1.247487403 2.842313507e-16 --90 -45 3.05131094000145 -1.657602657 -1.457602657 2.642301188e-16 - --85 45 1.94889078304342 -0.8754443975 2.075444398 0.1203357921 --85 40 2.01513461871963 -1.040227427 1.992404266 0.1347524391 --85 35 2.08441829989846 -1.203087508 1.892514711 0.1490008499 --85 30 2.15626561861344 -1.362043735 1.775051452 0.1629077178 --85 25 2.23011746703921 -1.514848905 1.639539474 0.1762764379 --85 20 2.30533720785246 -1.659024349 1.485820598 0.1888901548 --85 15 2.38121222096864 -1.791905090 1.314114118 0.2005157132 --85 10 2.45697154727198 -1.910713254 1.125073790 0.2109100808 --85 5 2.53179975971898 -2.012640388 0.9198275495 0.2198275495 --85 -2.84217e-14 2.60485015930141 -2.094937918 0.7000000000 0.2270276504 --85 -5 2.67526090537474 -2.155015893 0.4677162079 0.2322837921 --85 -10 2.74217191947477 -2.190544056 0.2255844901 0.2353921036 --85 -15 2.80474725972941 -2.199555488 -0.02334371301 0.2361805018 --85 -20 2.86218534497079 -2.180531000 -0.2756334960 0.2345160747 --85 -25 2.91373308944694 -2.132476545 -0.5275439729 0.2303118547 --85 -30 2.95870550533282 -2.054990907 -0.7751246881 0.2235327398 --85 -35 2.99649513977634 -1.948305813 -1.014322186 0.2141990035 --85 -40 3.02658369463419 -1.813308090 -1.241095965 0.2023882331 --85 -45 3.04855085054593 -1.651537800 -1.451537800 0.1882351667 - --80 45 1.94890147159093 -0.8674931855 2.067493186 0.2411259445 --80 40 2.01465612261661 -1.029426944 1.983341585 0.2696792353 --80 35 2.08326383348005 -1.188982563 1.882638323 0.2978131958 --80 30 2.15424900637763 -1.344255727 1.764781541 0.3251920440 --80 25 2.22706797030813 -1.493119228 1.629406760 0.3514406957 --80 20 2.30111350117205 -1.633254233 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25 2.20615574947487 -1.341736610 1.558815886 0.8588158855 +-65 20 2.27240077474794 -1.455831197 1.411864339 0.9120190650 +-65 15 2.33864682548797 -1.559670849 1.251887141 0.9604402903 +-65 10 2.40451490948810 -1.651925745 1.079442569 1.003459454 +-65 5 2.46963166777437 -1.731243302 0.8952084945 1.040445839 +-65 -2.84217e-14 2.53361748364123 -1.796237255 0.7000000000 1.070753017 +-65 -5 2.59607236492332 -1.845478944 0.4947971818 1.093714794 +-65 -10 2.65657101452811 -1.877503893 0.2807819169 1.108648273 +-65 -15 2.71465038868517 -1.890821141 0.05938140606 1.114858207 +-65 -20 2.76980125906796 -1.883938507 -0.1676826569 1.111648782 +-65 -25 2.82146038427424 -1.855403459 -0.3983426709 1.098342671 +-65 -30 2.86900557024708 -1.803863969 -0.6301364826 1.074309412 +-65 -35 2.91175259656466 -1.728150037 -0.8601674520 1.039003426 +-65 -40 2.94896122007396 -1.627381416 -1.085084962 0.9920142463 +-65 -45 2.97984418141959 -1.501093305 -1.301093305 0.9331251329 + +-60 45 1.94931239850614 -0.7761245170 1.976124517 0.7367708334 +-60 40 2.00969513040015 -0.9079581148 1.881417135 0.8128849966 +-60 35 2.07111686710760 -1.033687805 1.773899762 0.8854750671 +-60 30 2.13320123120021 -1.152370569 1.653996593 0.9539965925 +-60 25 2.19561075894441 -1.263115614 1.522154313 1.017935274 +-60 20 2.25805581398105 -1.365074474 1.378831593 1.076801250 +-60 15 2.32027593048746 -1.457408031 1.224485901 1.130110054 +-60 10 2.38203498787770 -1.539263639 1.059577200 1.177369411 +-60 5 2.44310738828097 -1.609746019 0.8845788596 1.218062432 +-60 -2.84217e-14 2.50326686316399 -1.667892696 0.7000000000 1.251633432 +-60 -5 2.56227317730572 -1.712651667 0.5064180628 1.277475036 +-60 -10 2.61985346017529 -1.742860381 0.3045232008 1.294916045 +-60 -15 2.67568957554408 -1.757238544 0.09517475494 1.303217281 +-60 -20 2.72940344268516 -1.754390994 -0.1205312183 1.301573247 +-60 -25 2.78054157118628 -1.732825759 -0.3411837507 1.289122553 +-60 -30 2.82856057504233 -1.690993600 -0.5649707449 1.264970745 +-60 -35 2.87281459990153 -1.627354949 -0.7895899720 1.228228953 +-60 -40 2.91254836674190 -1.540481686 -1.012167430 1.178072651 +-60 -45 2.94690125094041 -1.429199721 -1.229199721 1.113823978 + +-55 45 1.94969313807274 -0.7354957302 1.935495730 0.8651034237 +-55 40 2.00782743709725 -0.8554096908 1.837323772 0.9490680828 +-55 35 2.06636461260787 -0.9682859070 1.728104860 1.028104860 +-55 30 2.12499782109035 -1.073587322 1.608511064 1.101837705 +-55 25 2.18349335578062 -1.170866820 1.479137994 1.169953543 +-55 20 2.24167452786819 -1.259724783 1.340487442 1.232172558 +-55 15 2.29941467079003 -1.339774682 1.192966140 1.288224101 +-55 10 2.35661394989132 -1.410598075 1.036889990 1.337815174 +-55 5 2.41319167415132 -1.471713928 0.8725026164 1.380608956 +-55 -2.84217e-14 2.46906989023204 -1.522543648 0.7000000000 1.416200309 +-55 -5 2.52415497414673 -1.562377213 0.5195653739 1.444092071 +-55 -10 2.57832391501608 -1.590346918 0.3314154393 1.463676670 +-55 -15 2.63140799442615 -1.605404417 0.1358585866 1.474220044 +-55 -20 2.68317452452734 -1.606304305 -0.06663207132 1.474850152 +-55 -25 2.73330524169771 -1.591597405 -0.2753278877 1.464552270 +-55 -30 2.78137364729335 -1.559641786 -0.4891347398 1.442176705 +-55 -35 2.82682231106367 -1.508640361 -0.7064651221 1.406465122 +-55 -40 2.86893960337746 -1.436714515 -0.9250964351 1.356102103 +-55 -45 2.90684553290153 -1.342031022 -1.142031022 1.289804007 + +-50 45 1.95031376959037 -0.6860255944 1.886025594 0.9951936388 +-50 40 2.00580509033431 -0.7925417581 1.784571313 1.084571313 +-50 35 2.06103777066839 -0.8913300096 1.674219761 1.167464498 +-50 30 2.11580315202847 -0.9822955841 1.555803755 1.243793678 +-50 25 2.16998369539102 -1.065426821 1.429970515 1.313549068 +-50 20 2.22352907435110 -1.140740709 1.297180780 1.376744924 +-50 15 2.27643671957378 -1.208237170 1.157720770 1.433381179 +-50 10 2.32873621973668 -1.267860967 1.011721587 1.483411485 +-50 5 2.38047491956894 -1.319467903 0.8591828152 1.526714847 +-50 -2.84217e-14 2.43170344755533 -1.362792913 0.7000000000 1.563068847 +-50 -5 2.48245968497470 -1.397417898 0.5339974440 1.592122658 +-50 -10 2.53275666892491 -1.422743167 0.3609685027 1.613373082 +-50 -15 2.58256947783542 -1.437959065 0.1807254336 1.626140737 +-50 -20 2.63181489507329 -1.442014560 -0.006835494403 1.629543701 +-50 -25 2.68032813501331 -1.433589437 -0.2016475621 1.622474183 +-50 -30 2.72783500672070 -1.411074658 -0.4033594681 1.603582040 +-50 -35 2.77391864565174 -1.372569397 -0.6111872078 1.571272291 +-50 -40 2.81798331336236 -1.315909793 -0.8237292375 1.523729237 +-50 -45 2.85921434579684 -1.238746579 -1.038746579 1.458981613 + +-45 45 1.95128646334450 -0.6265757649 1.826575765 1.126575765 +-45 40 2.00372148684181 -0.7185039169 1.722446187 1.218503917 +-45 35 2.05523985414118 -0.8023793410 1.611935832 1.302379341 +-45 30 2.10576228539348 -0.8785450098 1.495903332 1.378545010 +-45 25 2.15529782295352 -0.9473750242 1.374922058 1.447375024 +-45 20 2.20391840014082 -1.009223659 1.249312489 1.509223659 +-45 15 2.25173986844169 -1.064388597 1.119176661 1.564388597 +-45 10 2.29890175773607 -1.113079231 0.9844293905 1.613079231 +-45 5 2.34555425967836 -1.155392644 0.8448280900 1.655392644 +-45 -2.84217e-14 2.39185263306001 -1.191295216 0.7000000000 1.691295216 +-45 -5 2.43794303839523 -1.220596722 0.5494672923 1.720596722 +-45 -10 2.48395421374094 -1.242925699 0.3926751738 1.742925699 +-45 -15 2.52998786388307 -1.257700443 0.2290255858 1.757700443 +-45 -20 2.57610265709607 -1.264092118 0.05792297870 1.764092118 +-45 -25 2.62229225646365 -1.260981836 -0.1211593162 1.760981836 +-45 -30 2.66845862936702 -1.246916237 -0.3085825596 1.746916237 +-45 -35 2.71437460096956 -1.220064642 -0.5044022286 1.720064642 +-45 -40 2.75963381499502 -1.178189626 -0.7081682963 1.678189626 +-45 -45 2.80358831273649 -1.118652467 -0.9186524671 1.618652467 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 3.05131094955701 -1.657602664 -1.457602664 2.642301196e-16 --40 -90 3.06439434276697 -1.469754715 -1.647462258 2.874812140e-16 --35 -90 3.06882955885975 -1.260208322 -1.813838007 3.078563668e-16 --30 -90 3.06456285386612 -1.032281427 -1.953989283 3.250199480e-16 --25 -90 3.05166026915636 -0.7896873584 -2.065743465 3.387058882e-16 --20 -90 3.03030833517015 -0.5364264911 -2.147558381 3.487253257e-16 --15 -90 3.00080364836067 -0.2766651348 -2.198553744 3.549704564e-16 --10 -90 2.96355450376854 -0.01461583900 -2.218531452 3.574170201e-16 --5 -90 2.91906826928122 0.2455864369 -2.207960333 3.561224314e-16 --2.84217e-14 -90 2.86794235008686 0.5000000000 -2.167942350 3.512216419e-16 -5 -90 2.81085397935298 0.7449820663 -2.100157831 3.429204325e-16 -10 -90 2.74855631710715 0.9772817957 -2.006799571 3.314873430e-16 -15 -90 2.68185460568479 1.194115048 -1.890472626 3.172414010e-16 -20 -90 2.61159211177506 1.393217108 -1.754093836 3.005398161e-16 -25 -90 2.53863322986022 1.572872763 -1.600783065 2.817646616e-16 -30 -90 2.46384900460497 1.731924502 -1.433755829 2.613097246e-16 -35 -90 2.38809662229359 1.869755950 -1.256214230 2.395671495e-16 -40 -90 2.31219884145041 1.986252766 -1.071247074 2.169152060e-16 -45 -90 2.23693144330341 2.081749393 -0.8817493926 1.937084331e-16 - --45 -85 3.04855086561880 -1.651537811 -1.451537811 0.1882351676 --40 -85 3.06111594393576 -1.463243183 -1.639702117 0.2046974112 --35 -85 3.06506840399891 -1.253553575 -1.804334044 0.2191008385 --30 -85 3.06038120040007 -1.025817238 -1.942792980 0.2312144258 --25 -85 3.04714392163107 -0.7837494172 -2.053009509 0.2408571227 --20 -85 3.02556180441896 -0.5313236513 -2.133538444 0.2479024915 --15 -85 2.99594421356058 -0.2726533661 -2.183581619 0.2522807020 --10 -85 2.95870462581910 -0.01187722901 -2.203000023 0.2539795922 --5 -85 2.91434921318050 0.2469569845 -2.192294902 0.2530430155 --2.84217e-14 -85 2.86346680095509 0.5000000000 -2.152570445 0.2495675759 -5 -85 2.80671947354092 0.7436978918 -2.085479650 0.2436978918 -10 -85 2.74483903061868 0.9748769393 -1.993160953 0.2356210524 -15 -85 2.67860799958965 1.190812425 -1.878147069 0.2255586414 -20 -85 2.60884404096501 1.389277012 -1.743268511 0.2137582966 -25 -85 2.53638585591374 1.568569109 -1.591553849 0.2004849836 -30 -85 2.46208137256245 1.727522310 -1.426131008 0.1860123604 -35 -85 2.38676817047135 1.865491828 -1.250124433 0.1706137803 -40 -85 2.31125388179657 1.982320014 -1.066560202 0.1545539911 -45 -85 2.23630499344013 2.078289148 -0.8782891484 0.1380824083 - --45 -80 3.04022174927217 -1.633244079 -1.433244079 0.3761484875 --40 -80 3.05124737182021 -1.443653110 -1.616355577 0.4084359851 --35 -80 3.05377386157599 -1.233582631 -1.775812579 0.4365525568 --30 -80 3.04785206620099 -1.006463092 -1.909270614 0.4600848093 --25 -80 3.03363926365542 -0.7660075379 -2.014961927 0.4787210392 --20 -80 3.01139263524287 -0.5161032199 -2.091720653 0.4922556736 --15 -80 2.98145864349379 -0.2607037224 -2.138984942 0.5005896430 --10 -80 2.94426266689673 -0.003727627652 -2.156781337 0.5037276277 --5 -80 2.90030554566822 0.2510334714 -2.145700443 0.5017737672 --2.84217e-14 -80 2.85014994675655 0.5000000000 -2.106849765 0.4949233443 -5 -80 2.79441281707029 0.7398765397 -2.041801395 0.4834535617 -10 -80 2.73376842252273 0.9677146158 -1.952541397 0.4677146158 -15 -80 2.66892916476169 1.180963446 -1.841390177 0.4481156567 -20 -80 2.60063947373731 1.377507009 -1.710930692 0.4251121295 -25 -80 2.52966435859098 1.555687202 -1.563928511 0.3991916788 -30 -80 2.45678394044852 1.714315607 -1.403256327 0.3708608378 -35 -80 2.38277782184326 1.852668021 -1.231810138 0.3406302489 -40 -80 2.30840857222748 1.970462717 -1.052429226 0.3090005543 -45 -80 2.23441400068139 2.067829859 -0.8678298591 0.2764507053 - --45 -75 3.02617816554903 -1.602426963 -1.402426963 0.5633436069 --40 -75 3.03469136438419 -1.410823811 -1.577231141 0.6101822452 --35 -75 3.03491680022366 -1.200281822 -1.728254095 0.6506487237 --30 -75 3.02702733682133 -0.9743393150 -1.853630601 0.6842432573 --25 -75 3.01128281705557 -0.7366798233 -1.952068440 0.7106195966 --20 -75 2.98801786380809 -0.4910302829 -2.022833324 0.7295809903 --15 -75 2.95762580818734 -0.2410710248 -2.065714717 0.7410710248 --10 -75 2.92054956549316 0.009637047072 -2.080986500 0.7451630868 --5 -75 2.87727406772803 0.2577122036 -2.069362185 0.7420483611 --2.84217e-14 -75 2.82831749019007 0.5000000000 -2.031944909 0.7320224321 -5 -75 2.77422752230020 0.7336105137 -1.970180391 0.7154726793 -10 -75 2.71558597369253 0.9559493777 -1.885817417 0.6928676885 -15 -75 2.65299947590468 1.164742996 -1.780854635 0.6647429959 -20 -75 2.58709726505327 1.358057700 -1.657494154 0.6316886547 -25 -75 2.51853162376275 1.534315749 -1.518097282 0.5943373756 -30 -75 2.44797473189420 1.692306837 -1.365136020 0.5533515288 -35 -75 2.37611233733834 1.831193202 -1.201140918 0.5094091738 -40 -75 2.30363334192755 1.950505805 -1.028645504 0.4631891669 -45 -75 2.23122574014491 2.050136476 -0.8501364758 0.4153578169 - --45 -70 3.00618204149524 -1.558606643 -1.358606643 0.7492715422 --40 -70 3.01129567352450 -1.364507229 -1.522033189 0.8087539402 --35 -70 3.00846169734255 -1.153649493 -1.661656227 0.8595725703 --30 -70 2.99800478904632 -0.9296614300 -1.776246234 0.9012799220 --25 -70 2.98031061567906 -0.6961358803 -1.865121673 0.9336279363 --20 -70 2.95579825474517 -0.4565423581 -1.928078530 0.9565423581 --15 -70 2.92490731494934 -0.2141713580 -1.965323793 0.9700985255 --10 -70 2.88808981361878 0.02789995562 -1.977412399 0.9744984180 --5 -70 2.84580178800945 0.2668263287 -1.965187258 0.9700488308 --2.84217e-14 -70 2.79849882011666 0.5000000000 -1.929728691 0.9571429676 -5 -70 2.74663739415646 0.7250485355 -1.872316532 0.9362466507 -10 -70 2.69068481638438 0.9398313429 -1.794407499 0.9078900817 -15 -70 2.63111556247185 1.142436553 -1.697605858 0.8726571657 -20 -70 2.56841654463196 1.331179602 -1.583647189 0.8311796024 -25 -70 2.50309578375843 1.504607595 -1.454387939 0.7841330829 -30 -70 2.43568815190309 1.661508954 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-55 2.43274003417062 1.368076921 -1.161596965 1.303504228 +30 -55 2.37863831174421 1.516951265 -1.061411260 1.233353442 +35 -55 2.32239187124683 1.655489383 -0.9502098585 1.155489383 +40 -55 2.26415290423846 1.782518046 -0.8284454884 1.070229053 +45 -55 2.20415760830923 1.896746627 -0.6967466268 0.9780125170 + +-45 -50 2.85921442328845 -1.238746626 -1.038746626 1.458981652 +-40 -50 2.84527679277288 -1.038487264 -1.133497724 1.538487264 +-35 -50 2.82668947220555 -0.8361311379 -1.208193021 1.601164060 +-30 -50 2.80425434641944 -0.6342696961 -1.264612743 1.648505828 +-25 -50 2.77860714764444 -0.4347080784 -1.304487943 1.681965094 +-20 -50 2.75023060791905 -0.2386388059 -1.329393440 1.702863287 +-15 -50 2.71947745251425 -0.04680251088 -1.340694752 1.712346214 +-10 -50 2.68659189345591 0.1403763206 -1.339527235 1.711366550 +-5 -50 2.65172819993991 0.3226784258 -1.326794867 1.700682825 +-2.84217e-14 -50 2.61496764560405 0.5000000000 -1.303181434 1.680868802 +5 -50 2.57633378841513 0.6722799354 -1.269168672 1.652328706 +10 -50 2.53580515796078 0.8394395640 -1.225057428 1.615314978 +15 -50 2.49332534950014 1.001330342 -1.170990308 1.569947277 +20 -50 2.44881469975165 1.157686508 -1.106978831 1.516235270 +25 -50 2.40218588735855 1.308082048 -1.032937545 1.454107254 +30 -50 2.35335847653127 1.451890547 -0.9487227908 1.383442686 +35 -50 2.30227598127028 1.588249225 -0.8541809611 1.304112671 +40 -50 2.24893179187176 1.716033859 -0.7492127207 1.216033859 +45 -50 2.19339555907968 1.833848590 -0.6338485900 1.119231860 + +-45 -45 2.80358792619477 -1.118652244 -0.9186522439 1.618652244 +-40 -45 2.78490104779058 -0.9210614983 -0.9935551459 1.693555146 +-35 -45 2.76291665702482 -0.7259409508 -1.050825125 1.750825125 +-30 -45 2.73838195993837 -0.5350110944 -1.092691802 1.792691802 +-25 -45 2.71183356220749 -0.3491987832 -1.121112668 1.821112668 +-20 -45 2.68363891450062 -0.1688797419 -1.137731987 1.837731987 +-15 -45 2.65403354083458 0.005933641066 -1.143880754 1.843880754 +-10 -45 2.62314978849368 0.1754533363 -1.140595593 1.840595593 +-5 -45 2.59103720855609 0.3400143725 -1.128644090 1.828644090 +-2.84217e-14 -45 2.55768049409836 0.5000000000 -1.108553221 1.808553221 +5 -45 2.52301426649955 0.6557854975 -1.080636385 1.780636385 +10 -45 2.48693268413323 0.8076933345 -1.045015614 1.745015614 +15 -45 2.44929490292267 0.9559528717 -1.001639283 1.701639283 +20 -45 2.40993062266269 1.100659710 -0.9502989909 1.650298991 +25 -45 2.36865568282051 1.241734136 -0.8906539874 1.590653987 +30 -45 2.32527987870192 1.378873184 -0.8222530080 1.522253008 +35 -45 2.27961716736945 1.511494875 -0.7445643891 1.444564389 +40 -45 2.23151141589946 1.638681376 -0.6570276202 1.357027620 +45 -45 2.18086493055078 1.759122955 -0.5591229547 1.259122955 diff --git a/test/Kerr-rotating-180.par b/test/Kerr-rotating-180.par index 060686f..5e72145 100644 --- a/test/Kerr-rotating-180.par +++ b/test/Kerr-rotating-180.par @@ -52,8 +52,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-rotating-180/BH_diagnostics.ah1.gp b/test/Kerr-rotating-180/BH_diagnostics.ah1.gp index d101832..744b11e 100644 --- a/test/Kerr-rotating-180/BH_diagnostics.ah1.gp +++ b/test/Kerr-rotating-180/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000026 -0.000015 0.000000 1.037139320 2.757524590 1.996579363 1.199949913 6.283368448e-06 0.000000000 1.199974249 0.000000000 1.079996592 -1.896328144 1.896647535 -1.896824246 1.896373563 -1.799355580 1.799355580 12.56610970 10.83742075 11.22769627 0.8624324474 0.8934902314 45.23801158 0.9486736240 1.897347248 -1.624233506e-17 -1.470481275 3.074129953e-17 0.7352406373 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616836677e-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 -9.569112278e-16 -1.470552902 1.469455870e-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-180/h.t0.ah1.gp b/test/Kerr-rotating-180/h.t0.ah1.gp index 25754cd..1f05022 100644 --- a/test/Kerr-rotating-180/h.t0.ah1.gp +++ b/test/Kerr-rotating-180/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45809562013780 -0.9191821680 -0.7191821680 1.419182168 --40 -45 2.43573429203777 -0.7428909189 -0.7812197178 1.481219718 --35 -45 2.41003745132634 -0.5693639988 -0.8272100633 1.527210063 --30 -45 2.38181144916874 -0.4002401092 -0.8592616081 1.559261608 --25 -45 2.35162920292106 -0.2364023683 -0.8792199752 1.579219975 --20 -45 2.31987692594194 -0.07821440551 -0.8886310227 1.588631023 --15 -45 2.28679517811788 0.07429755506 -0.8887431534 1.588743153 --10 -45 2.25251342934549 0.2213099604 -0.8805297547 1.580529755 --5 -45 2.21707570291970 0.3631049194 -0.8647179314 1.564717931 -0 -45 2.18045705242644 0.5000000000 -0.8418159679 1.541815968 -5 -45 2.14257859859861 0.6322951984 -0.8121410370 1.512141037 -10 -45 2.10332348340381 0.7602316582 -0.7758470720 1.475847072 -15 -45 2.06254112440827 0.8839560306 -0.7329434142 1.432943414 -20 -45 2.02005677401978 1.003486161 -0.6833168575 1.383316857 -25 -45 1.97568052569081 1.118675689 -0.6267542973 1.326754297 -30 -45 1.92922058539097 1.229176842 -0.5629713378 1.262971338 -35 -45 1.88049870463628 1.334400981 -0.4916480983 1.191648098 -40 -45 1.82937686093608 1.433482726 -0.4124813928 1.112481393 -45 -45 1.77578645709592 1.525250789 -0.3252507890 1.025250789 - --45 -40 2.41011095338495 -0.9656376428 -0.5298160055 1.465637643 --40 -40 2.38616711544672 -0.7902392225 -0.5902392225 1.537647229 --35 -40 2.35874586608247 -0.6149416407 -0.6360997540 1.592301682 --30 -40 2.32863702032858 -0.4418911693 -0.6689099580 1.631403360 --25 -40 2.29642985019723 -0.2725063021 -0.6900903016 1.656645111 --20 -40 2.26254647196220 -0.1076598157 -0.7009033686 1.669531622 --15 -40 2.22727345212799 0.05216443699 -0.7024250357 1.671345075 --10 -40 2.19079300047275 0.2067433124 -0.6955412689 1.663141321 --5 -40 2.15320376976419 0.3560148503 -0.6809547566 1.645757792 -0 -40 2.11453837054825 0.5000000000 -0.6591990648 1.619830369 -5 -40 2.07477992513536 0.6387409322 -0.6306577142 1.585816111 -10 -40 2.03387946115315 0.7722524463 -0.5955869055 1.544020349 -15 -40 1.99176113879238 0.9004813464 -0.5541323489 1.494616732 -20 -40 1.94833695466107 1.023271495 -0.5063539188 1.437676617 -25 -40 1.90351724883274 1.140332676 -0.4522498134 1.373197855 -30 -40 1.85722440545613 1.251213371 -0.3917858648 1.301139727 -35 -40 1.80940843250031 1.355278576 -0.3249303226 1.221464394 -40 -40 1.76007029305844 1.451698526 -0.2516985260 1.134190137 -45 -40 1.70928383375548 1.539450373 -0.1722024245 1.039450373 - --45 -35 2.36090393474446 -0.9960747791 -0.3475628381 1.496074779 --40 -35 2.33484817848209 -0.8225630288 -0.4036455840 1.576169241 --35 -35 2.30532386869909 -0.6469973206 -0.4469973206 1.638081937 --30 -35 2.27309289850442 -0.4718269011 -0.4786268376 1.683253569 --25 -35 2.23874970189185 -0.2988551679 -0.4995608495 1.713150436 --20 -35 2.20274320839107 -0.1293640510 -0.5107733307 1.729163519 --15 -35 2.16540163783347 0.03576460090 -0.5131446376 1.732550096 --10 -35 2.12695499706183 0.1959409294 -0.5074411553 1.724404679 --5 -35 2.08755379456790 0.3507750149 -0.4943085563 1.705649384 -0 -35 2.04728686245750 0.5000000000 -0.4742755028 1.677039219 -5 -35 2.00619813810928 0.6434094240 -0.4477642436 1.639177217 -10 -35 1.96430382871853 0.7808072561 -0.4151064727 1.592537086 -15 -35 1.92159854593673 0.9119670237 -0.3765563907 1.537481864 -20 -35 1.87806956723727 1.036598849 -0.3323112275 1.474293222 -25 -35 1.83370926262635 1.154324206 -0.2825331697 1.403202788 -30 -35 1.78852709736444 1.264658034 -0.2273734647 1.324426565 -35 -35 1.74256200655959 1.366999201 -0.1669992011 1.238203181 -40 -35 1.69589970854095 1.460633876 -0.1016248087 1.144838873 -45 -35 1.64868554817514 1.544751051 -0.03154256152 1.044751051 - --45 -30 2.31116737519689 -1.013014206 -0.1735391590 1.513014206 --40 -30 2.28256681445404 -0.8418271783 -0.2232566120 1.599127360 --35 -30 2.25062325178131 -0.6669760474 -0.2622203394 1.666614516 --30 -30 2.21607164505629 -0.4910573683 -0.2910573683 1.716561715 --25 -30 2.17950903718408 -0.3161249656 -0.3104701485 1.750185637 --20 -30 2.14140823542546 -0.1437642310 -0.3211754068 1.768727688 --15 -30 2.10213450628109 0.02482379513 -0.3238624245 1.773381739 --10 -30 2.06196161530478 0.1887390871 -0.3191666138 1.765248357 --5 -30 2.02108859298891 0.3473050225 -0.3076561101 1.745311579 -0 -30 1.97965578298857 0.5000000000 -0.2898278915 1.714432199 -5 -30 1.93776123957320 0.6463995244 -0.2661115102 1.673354222 -10 -30 1.89547721815008 0.7861294628 -0.2368783025 1.622720820 -15 -30 1.85285636624594 0.9188282213 -0.2024493940 1.563088202 -20 -30 1.80994451464556 1.044117427 -0.1631099832 1.494950343 -25 -30 1.76679102938054 1.161581229 -0.1191246576 1.418765525 -30 -30 1.72346015874154 1.270754814 -0.07075481429 1.334986499 -35 -30 1.68003942551988 1.371121262 -0.01827575094 1.244090094 -40 -30 1.63665142293094 1.462120078 0.03800437379 1.146610059 -45 -30 1.59345957763684 1.543164162 0.09772889048 1.043164162 - --45 -25 2.26132760598515 -1.018578576 -0.008124819404 1.518578576 --40 -25 2.22986205257159 -0.8497950364 -0.05011326308 1.608623084 --35 -25 2.19527116236198 -0.6762642952 -0.08334067966 1.679879509 --30 -25 2.15827037502952 -0.5006234198 -0.1081720725 1.733130602 --25 -25 2.11946093957592 -0.3250671894 -0.1250671894 1.769362298 --20 -25 2.07933829669484 -0.1513845613 -0.1345342029 1.789664373 --15 -25 2.03830020848405 0.01899035727 -0.1370933236 1.795152426 --10 -25 1.99665953730625 0.1849187245 -0.1332520136 1.786914710 --5 -25 1.95465795207139 0.3454968645 -0.1234894942 1.765978919 -0 -25 1.91248000664780 0.5000000000 -0.1082489760 1.733295523 -5 -25 1.87026745616841 0.6478326097 -0.08793611943 1.689734461 -10 -25 1.82813482622038 0.7884873671 -0.06292277005 1.636093160 -15 -25 1.78617567483858 0.9215118654 -0.03355030136 1.573103698 -20 -25 1.74447332755124 1.046482982 -0.0001374716954 1.501449653 -25 -25 1.70310813198359 1.162988694 0.03701130626 1.421783842 -30 -25 1.66216969736799 1.270619820 0.07759460324 1.334752681 -35 -25 1.62175857978081 1.368966324 0.1213063562 1.241012524 -40 -25 1.58199717642269 1.457625129 0.1678248985 1.141253188 -45 -25 1.54303124332573 1.536211729 0.2168065354 1.036211729 - --45 -20 2.21161763133894 -1.014496024 0.1487685275 1.514496024 --40 -20 2.17707949831489 -0.8479846892 0.1152943406 1.606465596 --35 -20 2.13971129811685 -0.6761268246 0.08864531938 1.679683180 --30 -20 2.10021773215638 -0.5015328518 0.06861872911 1.734705785 --25 -20 2.05920650631025 -0.3264543884 0.05492203034 1.772337155 --20 -20 2.01719211862351 -0.1527947916 0.04720520837 1.793538950 --15 -20 1.97459997541066 0.01786412557 0.04508812819 1.799355580 --10 -20 1.93177518054153 0.1842234116 0.04818098506 1.790858025 --5 -20 1.88899327038250 0.3452234102 0.05609861482 1.769104516 -0 -20 1.84647213266743 0.5000000000 0.06846933654 1.735116238 -5 -20 1.80438460487552 0.6478440925 0.08493918179 1.689865710 -10 -20 1.76287159122154 0.7881668543 0.1051723846 1.634275442 -15 -20 1.72204819907554 0.9204705888 0.1288515024 1.569217600 -20 -20 1.68201376884876 1.044325857 0.1556741435 1.495523000 -25 -20 1.64285755947307 1.159354385 0.1853497133 1.413990042 -30 -20 1.60466817288986 1.265219656 0.2175940976 1.325399324 -35 -20 1.56753499301071 1.361620890 0.2521265622 1.230522157 -40 -20 1.53155625245371 1.448295356 0.2886647184 1.130134398 -45 -20 1.49683902422099 1.525022010 0.3269224988 1.025022010 - --45 -15 2.16213204008669 -1.002133863 0.2975044444 1.502133863 --40 -15 2.12442033413664 -0.8376625398 0.2728450067 1.594164138 --35 -15 2.08424482466917 -0.6676773437 0.2531636205 1.667616071 --30 -15 2.04230534125526 -0.4947221226 0.2383478563 1.722909256 --25 -15 1.99921561767699 -0.3210419834 0.2282137607 1.760730216 --20 -15 1.95550396199800 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0.7849840435 1.314055272 1.063574930 +20 30 1.24138670331790 0.8731938372 1.291981272 1.025341641 +25 30 1.22441443550425 0.9584863710 1.267666486 0.9832271956 +30 30 1.20983874903499 1.041056337 1.241056337 0.9371370653 +35 30 1.19770924475745 1.121027086 1.212062690 0.8869185954 +40 30 1.18811046644990 1.198441292 1.180568997 0.8323699188 +45 30 1.18115709482910 1.273248828 1.146435419 0.7732488278 + +-45 35 1.66055556566974 -0.5522729301 1.436809438 1.052272930 +-40 35 1.60508886152183 -0.4091945274 1.458699966 1.083535844 +-35 35 1.55402636120346 -0.2731946459 1.473194646 1.104236392 +-30 35 1.50719535782253 -0.1443788527 1.481499471 1.116096912 +-25 35 1.46434692723438 -0.02252429536 1.484622436 1.120556968 +-20 35 1.42519430449566 0.09279590213 1.483381035 1.118784064 +-15 35 1.38944520798159 0.2021200874 1.478422799 1.111702968 +-10 35 1.35682131640251 0.3060354690 1.470247561 1.100027518 +-5 35 1.32706980466440 0.4051368294 1.459228733 1.084291002 +0 35 1.29997170897769 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0.2282937098 1.550865218 1.014021680 +-10 40 1.32149552364552 0.3231063365 1.541796345 1.003213818 +-5 40 1.29437350077510 0.4134449953 1.530144953 0.9893282303 +0 40 1.26968509146977 0.5000000000 1.516137845 0.9726352088 +5 40 1.24722393527049 0.5834021042 1.499905634 0.9532904127 +10 40 1.22683234172656 0.6642221737 1.481495633 0.9313502283 +15 40 1.20840526052045 0.7429727924 1.460884475 0.9067868062 +20 40 1.19188609094943 0.8201089089 1.437981412 0.8794919988 +25 40 1.17727057412888 0.8960273107 1.412633311 0.8492833085 +30 40 1.16461036339327 0.9710636340 1.384626548 0.8159061476 +35 40 1.15401407668931 1.045484092 1.353685480 0.7790320193 +40 40 1.14565453293391 1.119473969 1.319473969 0.7382603282 +45 40 1.13977348825435 1.193119512 1.281596327 0.6931195123 + +-45 45 1.55298528952931 -0.3966164750 1.596616475 0.8966164750 +-40 45 1.50163042498752 -0.2662423709 1.613172098 0.9131720983 +-35 45 1.45587635688714 -0.1459906927 1.622570320 0.9225703202 +-30 45 1.41504143102460 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+398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.77578670787075 1.525250934 -0.3252509338 1.025250934 -45 -40 1.70928404814024 1.539450503 -0.1722025339 1.039450503 -45 -35 1.64868566414065 1.544751125 -0.03154261297 1.044751125 -45 -30 1.59345971995861 1.543164255 0.09772883668 1.043164255 -45 -25 1.54303129990998 1.536211767 0.2168065177 1.036211767 -45 -20 1.49683908828653 1.525022054 0.3269224829 1.025022054 -45 -15 1.45436067398005 1.510412120 0.4292608885 1.010412120 -45 -10 1.41512983198409 1.492959588 0.5249144339 0.9929595878 -45 -5 1.37873769899027 1.473054550 0.6148687579 0.9730545499 -45 0 1.34483640577668 1.450942942 0.7000000000 0.9509429421 -45 5 1.31313353209781 1.426753913 0.7810804613 0.9267539134 -45 10 1.28339403377462 1.400524024 0.8587866822 0.9005240240 -45 15 1.25543563639969 1.372209628 0.9337078655 0.8722096281 -45 20 1.22912825743801 1.341696065 1.006352314 0.8416960654 -45 25 1.20439761309322 1.308804707 1.077151829 0.8088047071 -45 30 1.18122859410258 1.273295635 1.146462443 0.7732956351 -45 35 1.15967104461602 1.234868783 1.214560662 0.7348687833 -45 40 1.13984879174943 1.193165306 1.281634753 0.6931653059 -45 45 1.12197168537811 1.147770655 1.347770655 0.6477706546 - -50 -45 1.78962848507255 1.588309595 -0.3883095945 0.9132001794 -50 -40 1.71977561198856 1.608224226 -0.2299105390 0.9299105390 -50 -35 1.65538461725838 1.617488640 -0.08247396964 0.9376843057 -50 -30 1.59617573741191 1.618253484 0.05437604977 0.9383260863 -50 -25 1.54176890601276 1.612232503 0.1813574662 0.9332738831 -50 -20 1.49174472995710 1.600757500 0.2993570347 0.9236452127 -50 -15 1.44568039445102 1.584837968 0.4093185425 0.9102871391 -50 -10 1.40318009253272 1.565224689 0.5121721468 0.8938296436 -50 -5 1.36388132377821 1.542455130 0.6087969939 0.8747237154 -50 0 1.32746909975128 1.516900327 0.7000000000 0.8532806896 -50 5 1.29367403055654 1.488793604 0.7865082310 0.8296963488 -50 10 1.26227972152713 1.458260120 0.8689671137 0.8040757132 -50 15 1.23311894420188 1.425331944 0.9479419472 0.7764456931 -50 20 1.20607638645840 1.389963009 1.023920045 0.7467676326 -50 25 1.18109109820325 1.352039436 1.097312514 0.7149459761 -50 30 1.15815932077686 1.311386657 1.168454305 0.6808342448 -50 35 1.13733696780950 1.267773923 1.237601088 0.6442388155 -50 40 1.11874651358709 1.220920788 1.304924367 0.6049243670 -50 45 1.10258255653354 1.170502948 1.370502948 0.5626187763 - -55 -45 1.80159418861278 1.641647311 -0.4416473106 0.7993900529 -55 -40 1.72909685278474 1.667249031 -0.2794382315 0.8173165705 -55 -35 1.66156006817833 1.680646057 -0.1266972689 0.8266972689 -55 -30 1.59893331039307 1.684030007 0.01639995658 0.8290667365 -55 -25 1.54103010075229 1.679236958 0.1501127755 0.8257106076 -55 -20 1.48758330107635 1.667759712 0.2749702239 0.8176741534 -55 -15 1.43828716506416 1.650781695 0.3916489743 0.8057860173 -55 -10 1.39283103844429 1.629221993 0.5008876955 0.7906897516 -55 -5 1.35091394374577 1.603773010 0.6034323745 0.7728701823 -55 0 1.31226493904901 1.574944507 0.7000000000 0.7526842473 -55 5 1.27664456866342 1.543090735 0.7912586144 0.7303799958 -55 10 1.24385673377225 1.508442762 0.8778156674 0.7061192238 -55 15 1.21374754878264 1.471126278 0.9602125019 0.6799899402 -55 20 1.18620966202112 1.431180024 1.038921811 0.6520192721 -55 25 1.16118448638752 1.388569056 1.114346556 0.6221827512 -55 30 1.13866430071104 1.343195080 1.186818906 0.5904115510 -55 35 1.11869316063538 1.294903954 1.256597741 0.5565977411 -55 40 1.10137131216899 1.243494845 1.323866250 0.5206006953 -55 45 1.08685583616838 1.188726712 1.388726712 0.4822516357 - -60 -45 1.81173075642697 1.686056190 -0.4860561900 0.6847698606 -60 -40 1.73718159784419 1.717039784 -0.3212176339 0.7026582469 -60 -35 1.66708416208364 1.734496561 -0.1644037977 0.7127369217 -60 -30 1.60158381884959 1.740581492 -0.01625005812 0.7162500581 -60 -25 1.54067269577862 1.737188365 0.1230895907 0.7142910358 -60 -20 1.48423459247200 1.725925433 0.2537996328 0.7077883790 -60 -15 1.43208772708329 1.708123560 0.3762842677 0.6975104628 -60 -10 1.38401479582616 1.684857092 0.4910777264 0.6840775611 -60 -5 1.33978664605858 1.656973106 0.5987779692 0.6679787342 -60 0 1.29918248286224 1.625125034 0.7000000000 0.6495912414 -60 5 1.26199678840533 1.589797654 0.7953449403 0.6291949690 -60 10 1.22805441458723 1.551339182 0.8853794636 0.6069909595 -60 15 1.19721139009290 1.509979528 0.9706231990 0.5831119525 -60 20 1.16936135251890 1.465851241 1.051541102 0.5576344739 -60 25 1.14443937758380 1.419005761 1.128539424 0.5305882233 -60 30 1.12242188673405 1.369424255 1.201962328 0.5019623276 -60 35 1.10332795670480 1.317028077 1.272089219 0.4717113805 -60 40 1.08722176270789 1.261689015 1.339132971 0.4397613576 -60 45 1.07421194710276 1.203236794 1.403236794 0.4060139525 - -65 -45 1.82011593077815 1.722285993 -0.5222859928 0.5699613189 -65 -40 1.74400352364268 1.758124611 -0.3556918967 0.5866731408 -65 -35 1.67186530853328 1.779355517 -0.1958143771 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1.887251219 0.1950818489 0.000000000 +90 -15 1.41601397311954 1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044909495 1.839752606 0.4637654682 0.000000000 +90 -5 1.30956743385745 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137362475 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541952584 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822058779 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720145598 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041108674 1.556722326 1.084615473 0.000000000 +90 25 1.10054399697151 1.497431594 1.165109991 0.000000000 +90 30 1.08055683200991 1.435789667 1.240278416 0.000000000 +90 35 1.06445609488804 1.371951386 1.310546934 0.000000000 +90 40 1.05213486256947 1.305982065 1.376299253 0.000000000 +90 45 1.04350448187671 1.237869095 1.437869095 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12197172574841 1.147770678 1.347770678 0.6477706779 -40 45 1.12786899448053 1.075521778 1.385880147 0.6858801468 -35 45 1.13604755318170 1.004078621 1.419898877 0.7198988774 -30 45 1.14621689621018 0.9332292651 1.450375099 0.7503750985 -25 45 1.15817506079756 0.8626774394 1.477764279 0.7777642787 -20 45 1.17179627940685 0.7920626872 1.502435638 0.8024356383 -15 45 1.18702276360672 0.7209723448 1.524680018 0.8246800180 -10 45 1.20385692071807 0.6489460300 1.544714912 0.8447149122 -5 45 1.22235603405380 0.5754753334 1.562687008 0.8626870081 -0 45 1.24263182638275 0.5000000000 1.578673391 0.8786733910 --5 45 1.26485078736906 0.4219007947 1.592678001 0.8926780014 --10 45 1.28923440161273 0.3404907240 1.604622057 0.9046220573 --15 45 1.31606534570866 0.2550055026 1.614331912 0.9143319119 --20 45 1.34569162228050 0.1645950168 1.621517618 0.9215176177 --25 45 1.37853228265497 0.06831866329 1.625743614 0.9257436140 --30 45 1.41508255609625 -0.03485093258 1.626388990 0.9263889897 --35 45 1.45591362354648 -0.1460072284 1.622593936 0.9225939356 --40 45 1.50166520964185 -0.2662601206 1.613193252 0.9131932516 --45 45 1.55302060478504 -0.3966368642 1.596636864 0.8966368642 - -45 50 1.10258260947503 1.170502980 1.370502980 0.5626188034 -40 50 1.10634611912948 1.098219273 1.412929968 0.5982192728 -35 50 1.11278121974521 1.025993977 1.451197250 0.6303293353 -30 50 1.12161687325871 0.9536735520 1.485785642 0.6593524424 -25 50 1.13265711488706 0.8810195897 1.517099147 0.6856275929 -20 50 1.14577424226680 0.8077244925 1.545466095 0.7094302882 -15 50 1.16090363070250 0.7334216890 1.571141603 0.7309745977 -10 50 1.17804024655004 0.6576909277 1.594309691 0.7504149320 -5 50 1.19723427263181 0.5800592858 1.615081824 0.7678448212 -0 50 1.21859096039752 0.5000000000 1.633494834 0.7832951706 --5 50 1.24227103499550 0.4169290972 1.649504763 0.7967290968 --10 50 1.26848909907465 0.3302017072 1.662973971 0.8080311040 --15 50 1.29751800282057 0.2391094009 1.673656971 0.8169952053 --20 50 1.32968947871615 0.1428807657 1.681177032 0.8233052859 --25 50 1.36539471760549 0.04068876779 1.684996116 0.8265098778 --30 50 1.40508293578202 -0.06833040006 1.684377128 0.8259904854 --35 50 1.44925101594542 -0.1850378961 1.678335506 0.8209209621 --40 50 1.49842788276216 -0.3102242353 1.665587643 0.8102242353 --45 50 1.55313585680334 -0.4444936022 1.644493602 0.7925242333 - -45 55 1.08685587402366 1.188726736 1.388726736 0.4822516525 -40 55 1.08863563669353 1.116652191 1.434897464 0.5145807441 -35 55 1.09338500655755 1.044005851 1.476920872 0.5440058509 -30 55 1.10087072532672 0.9706608279 1.515208467 0.5708151138 -25 55 1.11092021664627 0.8964107088 1.550105508 0.5952502853 -20 55 1.12341935168904 0.8209814705 1.581889342 0.6175055654 -15 55 1.13830994412972 0.7440396100 1.610768224 0.6377267757 -10 55 1.15558969467471 0.6651974438 1.636881260 0.6560113204 -5 55 1.17530863029089 0.5840147992 1.660293549 0.6724047817 -0 55 1.19756908621809 0.5000000000 1.680991165 0.6868974088 --5 55 1.22252621537863 0.4126099377 1.698872983 0.6994183925 --10 55 1.25038484871622 0.3212511052 1.713735357 0.7098251389 --15 55 1.28140152589278 0.2252833200 1.725256607 0.7178924051 --20 55 1.31588202751298 0.1240284204 1.732973425 0.7232957792 --25 55 1.35417748233605 0.01678757158 1.736252397 0.7255917397 --30 55 1.39667717687883 -0.09712845592 1.734256824 0.7241944248 --35 55 1.44379082274802 -0.2183477461 1.725906902 0.7183477461 --40 55 1.49592783540870 -0.3473608122 1.709845292 0.7071012860 --45 55 1.55345464699561 -0.4844044409 1.684404441 0.6892874102 - -45 60 1.07421197039984 1.203236810 1.403236810 0.4060139613 -40 60 1.07422079556421 1.131490237 1.452580759 0.4345027037 -35 60 1.07741809640511 1.058654635 1.497841504 0.4606340069 -30 60 1.08361722419353 0.9846083550 1.539366293 0.4846083550 -25 60 1.09267901960954 0.9091575727 1.577441246 0.5065909397 -20 60 1.10451451915945 0.8320464208 1.612290043 0.5267109021 -15 60 1.11908226901194 0.7529625311 1.644069019 0.5450585021 -10 60 1.13639084982705 0.6715425014 1.672865870 0.5616843717 -5 60 1.15649611729602 0.5873742741 1.698692522 0.5765953966 -0 60 1.17950116842291 0.5000000000 1.721477976 0.5897505842 --5 60 1.20555590297025 0.4089192170 1.741058113 0.6010551818 --10 60 1.23485333793633 0.3135942132 1.757159750 0.6103514661 --15 60 1.26763008794263 0.2134590329 1.769385448 0.6174099760 --20 60 1.30415946228516 0.1079350031 1.777189726 0.6219157783 --25 60 1.34474470515941 -0.003544471474 1.779854604 0.6234543462 --30 60 1.38970733798335 -0.1214960153 1.776462675 0.6214960153 --35 60 1.43936619485617 -0.2463292097 1.765868573 0.6153795076 --40 60 1.49401196540557 -0.3782682054 1.746679289 0.6043005693 --45 60 1.55386915073119 -0.5172461433 1.717246143 0.5873073347 - -45 65 1.06418916123617 1.214648712 1.414648712 0.3332461673 -40 65 1.06267602148981 1.143266169 1.466614767 0.3574783369 -35 65 1.06450660269118 1.070381067 1.514588584 0.3798488952 -30 65 1.06954180288738 0.9958639978 1.558861638 0.4004937590 -25 65 1.07768068246954 0.9195212826 1.599666294 0.4195212826 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0.2829849865 -35 70 1.05434278365833 1.079536516 1.527663920 0.3012450307 -30 70 1.05837996254020 1.004710672 1.574184526 0.3181771469 -25 70 1.06570787635530 0.9277176420 1.617243443 0.3338493109 -20 70 1.07629934362335 0.8483072332 1.656966258 0.3483072332 -15 70 1.09016184336759 0.7661836018 1.693410726 0.3615719347 -10 70 1.10733943286590 0.6810106434 1.726562371 0.3736381467 -5 70 1.12791011796831 0.5924164656 1.756325036 0.3844708706 -0 70 1.15198571697826 0.5000000000 1.782512477 0.3940023200 --5 70 1.17971113933959 0.4033391649 1.804838401 0.4021282916 --10 70 1.21125540110659 0.3020027889 1.822897984 0.4087014422 --15 70 1.24681049160843 0.1955676724 1.836156914 0.4135272982 --20 70 1.28657882906681 0.08364304972 1.843931319 0.4163569503 --25 70 1.33076355095205 -0.03409668882 1.845374045 0.4168820596 --30 70 1.37955177553687 -0.1578681833 1.839461118 0.4147299301 --35 70 1.43309469662282 -0.2877236132 1.824985908 0.4094613845 --40 70 1.49147918287030 -0.4234807936 1.800561553 0.4005716464 --45 70 1.55470636775919 -0.5646490508 1.764649051 0.3875005644 - -45 75 1.05065004023009 1.229935533 1.429935533 0.1955856367 -40 75 1.04690591803773 1.159194796 1.485597767 0.2105002871 -35 75 1.04668140866329 1.086392804 1.537455714 0.2243955823 -30 75 1.04991682271783 1.011370885 1.585720355 0.2373280538 -25 75 1.05658136774397 0.9339190101 1.630542320 0.2493380632 -20 75 1.06667639440471 0.8537825599 1.672009595 0.2604491859 -15 75 1.08023342291546 0.7706663188 1.710140453 0.2706663188 -10 75 1.09731406988614 0.6842400396 1.744877187 0.2799739985 -5 75 1.11800974963045 0.5941447051 1.776078903 0.2883344732 -0 75 1.14243840755893 0.5000000000 1.803510763 0.2956848177 --5 75 1.17074373217988 0.4014147028 1.826835103 0.3019345559 --10 75 1.20308471848144 0.2980009714 1.845593418 0.3069608313 --15 75 1.23963309965837 0.1893940508 1.859197184 0.3106059492 --20 75 1.28055996909601 0.07527907588 1.866911149 0.3126728999 --25 75 1.32602508437089 -0.04457471007 1.867844234 0.3129229195 --30 75 1.37615964329173 -0.1702702156 1.860942068 0.3110734897 --35 75 1.43104856536132 -0.3017306641 1.844990050 0.3067991592 --40 75 1.49070338515248 -0.4386363161 1.818623202 0.2997341836 --45 75 1.55504676729843 -0.5803634398 1.780363440 0.2894825112 - -45 80 1.04665934204163 1.234413483 1.434413483 0.1294969121 -40 80 1.04221744961808 1.163895430 1.491199764 0.1395098656 -35 80 1.04133798507557 1.091152301 1.544252980 0.1488645789 -30 80 1.04398809927035 1.016012426 1.593759740 0.1575939564 -25 80 1.05016203796723 0.9382568066 1.639844755 0.1657199879 -20 80 1.05988363503438 0.8576256253 1.682568330 0.1732533070 -15 80 1.07320373461919 0.7738223714 1.721919002 0.1801918922 -10 80 1.09019881120201 0.6865197922 1.757806307 0.1865197922 -5 80 1.11097142340399 0.5953674343 1.790054762 0.1922060650 -0 80 1.13564516693155 0.5000000000 1.818392165 0.1972027137 --5 80 1.16436336697077 0.4000493221 1.842441476 0.2014432562 --10 80 1.19727698104362 0.2951604318 1.861702919 0.2048395682 --15 80 1.23454179555359 0.1850130585 1.875547269 0.2072807007 --20 80 1.27630411472485 0.06934983988 1.883201591 0.2086303640 --25 80 1.32268989440957 -0.05198895819 1.883744141 0.2087260303 --30 80 1.37378753788390 -0.1790225302 1.876101522 0.2073784303 --35 80 1.42963232043746 -0.3115812996 1.859058215 0.2043732356 --40 80 1.49018131202763 -0.4492496638 1.831271697 0.1994737227 --45 80 1.55530202497797 -0.5913147491 1.791314749 0.1924282347 - -45 85 1.04431750992615 1.237034974 1.437034974 0.06448220488 -40 85 1.03945750074026 1.166654870 1.494488337 0.06950872277 -35 85 1.03818286267424 1.093953880 1.548254050 0.07421261314 -30 85 1.04047721301902 1.018751738 1.598504367 0.07860894628 -25 85 1.04635047182059 0.9408232243 1.645348455 0.08270727291 -20 85 1.05584078308544 0.8599045870 1.688829726 0.08651139117 -15 85 1.06901145726400 0.7756978241 1.728918287 0.09001868582 -10 85 1.08594881482929 0.6878769734 1.765503263 0.09321945649 -5 85 1.10676280130866 0.5960964443 1.798387384 0.09609644425 -0 85 1.13158089124153 0.5000000000 1.827274884 0.09862377306 --5 85 1.16054626555205 0.3992337207 1.851763842 0.1007662793 --10 85 1.19380491938290 0.2934631430 1.871328722 0.1024779844 --15 85 1.23150240556939 0.1823957954 1.885315028 0.1037016277 --20 85 1.27376915389013 0.06581014054 1.892926835 0.1043675744 --25 85 1.32070967921378 -0.05640964938 1.893224344 0.1043936031 --30 85 1.37238558205829 -0.1842316175 1.885123926 0.1036849084 --35 85 1.42880152058329 -0.3174303751 1.867411561 0.1021352772 --40 85 1.48988174229639 -0.4555339386 1.838761004 0.09962867833 --45 85 1.55546059333775 -0.5977780681 1.797778068 0.09604313602 - -45 90 1.04354539904015 1.237898028 1.437898028 0.000000000 -40 90 1.03854608443445 1.167564555 1.495572457 0.000000000 -35 90 1.03713932012692 1.094878675 1.549574794 0.000000000 -30 90 1.03931427222538 1.019657136 1.600072562 0.000000000 -25 90 1.04508619066972 0.9416725093 1.647169753 0.000000000 -20 90 1.05449812592156 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1.744809652 1.524875889e-16 --90 35 1.69914468652053 -0.8918578435 1.674589354 1.704534253e-16 --90 30 1.77611453104519 -1.038160304 1.588057266 1.883703093e-16 --90 25 1.85570115027590 -1.181836403 1.484253194 2.059655568e-16 --90 20 1.93714659710614 -1.320322363 1.362543157 2.229251955e-16 --90 15 2.01959870323274 -1.450782546 1.222710608 2.389019601e-16 --90 10 2.10212117390003 -1.570185230 1.065029511 2.535245715e-16 --90 5 2.18372948394555 -1.675419734 0.8903245651 2.664120814e-16 --90 -2.84217e-14 2.26341325758534 -1.763413258 0.7000000000 2.771881801e-16 --90 -5 2.34015308612590 -1.831248097 0.4960422196 2.854955520e-16 --90 -10 2.41295647177648 -1.876298241 0.2809945059 2.910126035e-16 --90 -15 2.48086144828163 -1.896328144 0.05790580892 2.934655592e-16 --90 -20 2.54295936266307 -1.889600148 -0.1697433257 2.926416173e-16 --90 -25 2.59841953864249 -1.854967862 -0.3981395487 2.884003854e-16 --90 -30 2.64650081742239 -1.791936939 -0.6232504087 2.806813236e-16 --90 -35 2.68656115044498 -1.700702058 -0.8409481707 2.695082732e-16 --90 -40 2.71805937889492 -1.582154283 -1.047134891 2.549903578e-16 --90 -45 2.74056857295364 -1.437874622 -1.237874622 2.373211953e-16 - --85 45 1.55546057823519 -0.5977780574 1.797778057 0.09604313509 --85 40 1.62519367106215 -0.7421839427 1.742316088 0.1086770130 --85 35 1.69864199634329 -0.8878864738 1.671808571 0.1214243327 --85 30 1.77527855090342 -1.033042254 1.585102358 0.1341238179 --85 25 1.85446442397371 -1.175456862 1.481278366 0.1465834817 --85 20 1.93545346632249 -1.312616022 1.359738278 0.1585833533 --85 15 2.01741109739842 -1.441748292 1.220289887 0.1698809629 --85 10 2.09942380246862 -1.559897191 1.063215452 0.1802176522 --85 5 2.18053441313329 -1.664033239 0.8893283759 0.1893283759 --85 -2.84217e-14 2.25975921379047 -1.751160148 0.7000000000 0.1969509927 --85 -5 2.33610655175484 -1.818428087 0.4971638252 0.2028361748 --85 -10 2.40860725219676 -1.863259532 0.2832935822 0.2067584180 --85 -15 2.47631966901632 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-1.232503278 1.164222854 0.8078795464 +-65 10 2.03785730485861 -1.323784740 1.021582457 0.8504447909 +-65 5 2.10788192133805 -1.404412500 0.8666145044 0.8880421331 +-65 -2.84217e-14 2.17679452319417 -1.472845827 0.7000000000 0.9199531176 +-65 -5 2.24414008240323 -1.527517947 0.5226151646 0.9454471456 +-65 -10 2.30943103933975 -1.566830232 0.3355620655 0.9637787654 +-65 -15 2.37214533231379 -1.589173336 0.1402076917 0.9741975260 +-65 -20 2.43171568385300 -1.592951846 -0.06177217357 0.9759594738 +-65 -25 2.48752035215104 -1.576624600 -0.2683459540 0.9683459540 +-65 -30 2.53887523218873 -1.538763267 -0.4770805209 0.9506909245 +-65 -35 2.58502948292178 -1.478132876 -0.6851035512 0.9224185088 +-65 -40 2.62516952190144 -1.393797998 -0.8890852020 0.8830925097 +-65 -45 2.65843312844174 -1.285251984 -1.085251984 0.8324766717 + +-60 45 1.55386051435559 -0.5172404895 1.717240489 0.5873040704 +-60 40 1.61686103018509 -0.6327452475 1.650486119 0.6539907736 +-60 35 1.68131710140346 -0.7450362294 1.571783753 0.7188220022 +-60 30 1.74679375204770 -0.8530606222 1.481189914 0.7811899145 +-60 25 1.81290038164105 -0.9557921782 1.378847041 0.8405020060 +-60 20 1.87928904298472 -1.052226478 1.264964235 0.8961783751 +-60 15 1.94564851767310 -1.141368591 1.139803388 0.9476445977 +-60 10 2.01169112189116 -1.222211714 1.003672392 0.9943193964 +-60 5 2.07714096279856 -1.293715618 0.8569297821 1.035602195 +-60 -2.84217e-14 2.14173672789100 -1.354798415 0.7000000000 1.070868364 +-60 -5 2.20519723928218 -1.404298648 0.5333954563 1.099447337 +-60 -10 2.26720745370522 -1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126907968 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946639955 -1.470247581 -0.01711147363 1.137522971 +-60 -25 2.44064240963492 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310584020 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249624796 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239850417 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350587457 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725741632 -0.4843934213 1.684393421 0.6892796942 +-55 40 1.61389995955305 -0.5894838892 1.614185530 0.7628648320 +-55 35 1.67510941875458 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902427514 -0.7860546373 1.442503991 0.9005051516 +-55 25 1.79841775359168 -0.8761967925 1.341731103 0.9636233682 +-55 20 1.86001874492099 -0.9601232435 1.231441399 1.022389302 +-55 15 1.92134162889450 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249309076 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852073976 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807403653 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860200397 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641935244 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170056212 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915033265 -1.331132429 0.03352230088 1.282172730 +-55 -25 2.38677985063439 -1.326427018 -0.1516769056 1.278877966 +-55 -30 2.43878789208338 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443150271 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109417397 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652030364 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969448823 -0.4444776924 1.644477692 0.7925108833 +-50 40 1.61061861049368 -0.5378834018 1.570887580 0.8708875796 +-50 35 1.66814588715677 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208294951 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836437554 -0.7857865889 1.299572133 1.078903053 +-50 20 1.83878708841430 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123458894 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266968260 -0.9804894902 0.9610502418 1.242278185 +-50 5 2.00520397571539 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937759178 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260963454 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045458020 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441041348 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424801934 -1.178259331 0.08916355817 1.408226786 +-50 -25 2.32670150507727 -1.178483091 -0.08268951937 1.408414543 +-50 -30 2.37807195257118 -1.166036630 -0.2618866970 1.397970722 +-50 -35 2.42803828180561 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636343498 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722383674 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517035080 -0.3966164061 1.596616406 0.8966164061 +-45 40 1.60711896531306 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515588487 -0.5522726704 1.436809256 1.052272670 +-45 30 1.71317762135865 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024606682 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247470341 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499783678 -0.7966159817 1.047427205 1.296615982 +-45 10 1.91610180088445 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254773069 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297832147 -0.9245677116 0.7000000000 1.424567712 +-45 -5 2.06370466331549 -0.9564751612 0.5725749347 1.456475161 +-45 -10 2.11281191529242 -0.9825048565 0.4385943948 1.482504856 +-45 -15 2.16207745622474 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667233694 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854820793 -1.018545631 -0.008109457176 1.518545631 +-45 -30 2.31111866830995 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316593434 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274136390 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434768340 -0.9191410188 -0.7191410188 1.419141019 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.74056858650779 -1.437874632 -1.237874632 2.373211965e-16 --40 -90 2.75378369075147 -1.270098036 -1.409520694 2.583417765e-16 --35 -90 2.75752458984871 -1.081651127 -1.558831905 2.766271262e-16 --30 -90 2.75174339031244 -0.8758716952 -1.683079681 2.918430903e-16 --25 -90 2.73652036428292 -0.6565034796 -1.780129716 3.037282918e-16 --20 -90 2.71205851859805 -0.4275786432 -1.848501377 3.121014054e-16 --15 -90 2.67869728250388 -0.1932978728 -1.887422886 3.168679155e-16 --10 -90 2.63688444628286 0.04210982118 -1.896824246 3.180192501e-16 --5 -90 2.58717635981121 0.2745127227 -1.877331373 3.156320616e-16 --2.84217e-14 -90 2.53023446523894 0.5000000000 -1.830234465 3.098643539e-16 -5 -90 2.46681842225154 0.7149973918 -1.757431433 3.009485539e-16 -10 -90 2.39778248429378 0.9163705588 -1.661354781 2.891825574e-16 -15 -90 2.32404332567592 1.101506674 -1.544853470 2.749152616e-16 -20 -90 2.24657447266456 1.268373723 -1.411089454 2.585338943e-16 -25 -90 2.16638013869908 1.415551808 -1.263407189 2.404480330e-16 -30 -90 2.08447638173159 1.542238191 -1.105209500 2.210744036e-16 -35 -90 2.00187696317160 1.648229455 -0.9398416068 2.008226775e-16 -40 -90 1.91955757651278 1.733867826 -0.7704664147 1.800801988e-16 -45 -90 1.83843181123380 1.799967600 -0.5999676005 1.592001161e-16 - --45 -85 2.73738950064149 -1.431933326 -1.231933326 0.1690222647 --40 -85 2.75001068833730 -1.263716186 -1.401915101 0.1838937430 --35 -85 2.75319925350498 -1.075130391 -1.549519329 0.1968074397 --30 -85 2.74693779248415 -0.8695434530 -1.672118844 0.2075335074 --25 -85 2.73133174003748 -0.6506990217 -1.767682015 0.2158942015 --20 -85 2.70660581591618 -0.4226010814 -1.834825638 0.2217685074 --15 -85 2.67311301121511 -0.1893952687 -1.872858169 0.2250959227 --10 -85 2.63130961176783 0.04476446855 -1.881768993 0.2258755187 --5 -85 2.58175140179163 0.2758353196 -1.862214022 0.2241646804 --2.84217e-14 -85 2.52508997710327 0.5000000000 -1.815481247 0.2200760925 -5 -85 2.46206736093910 0.7137729228 -1.743435689 0.2137729228 -10 -85 2.39351292993728 0.9140949913 -1.648449396 0.2054626990 -15 -85 2.32031795818101 1.098409501 -1.533294660 0.1953879651 -20 -85 2.24342487006392 1.264716531 -1.401041402 0.1838173043 -25 -85 2.16380840858244 1.411603736 -1.254940521 0.1710351334 -30 -85 2.08245751011624 1.538252871 -1.098306723 0.1573314518 -35 -85 2.00036323495068 1.644426042 -0.9344097712 0.1429923265 -40 -85 1.91848316912569 1.730416970 -0.7663538442 0.1282893381 -45 -85 1.83772094134250 1.796985442 -0.5969854417 0.1134715229 - --45 -80 2.72779909255280 -1.414025273 -1.214025273 0.3374942973 --40 -80 2.73865819315111 -1.244532929 -1.379053386 0.3665932062 --35 -80 2.74021747558692 -1.055581269 -1.521600289 0.3917280714 --30 -80 2.73254725780943 -0.8506172546 -1.639337707 0.4124883546 --25 -80 2.71582628216882 -0.6333768606 -1.730534521 0.4285688136 --20 -80 2.69034205539247 -0.4077744274 -1.794089741 0.4397753137 --15 -80 2.65648425692004 -0.1777881918 -1.829539968 0.4460261452 --10 -80 2.61472882084540 0.05265161608 -1.837038757 0.4473483839 --5 -80 2.56562731413109 0.2797627471 -1.817323320 0.4438720205 --2.84217e-14 -80 2.50980205865494 0.5000000000 -1.771672526 0.4358225538 -5 -80 2.44794393369198 0.7101351370 -1.701855607 0.4235119473 -10 -80 2.38081268116341 0.9073281699 -1.610072844 0.4073281699 -15 -80 2.30922245041914 1.089186141 -1.498872615 0.3877205691 -20 -80 2.23403065905246 1.253805970 -1.371064881 0.3651846173 -25 -80 2.15612358973209 1.399800036 -1.229627403 0.3402453739 -30 -80 2.07641218549420 1.526309103 -1.077619511 0.3134422812 -35 -80 1.99581896853798 1.632997155 -0.9180876290 0.2853125061 -40 -80 1.91524893085999 1.720018926 -0.7539619379 0.2563727186 -45 -80 1.83557490909425 1.787974901 -0.5879749009 0.2271047255 - --45 -75 2.71164120756826 -1.383903484 -1.183903484 0.5047904171 --40 -75 2.71963055128079 -1.212442614 -1.340809638 0.5468332943 --35 -75 2.71856768306585 -1.023050389 -1.475141377 0.5828273754 --30 -75 2.70865530551047 -0.8192735193 -1.585048764 0.6122769711 --25 -75 2.69018985674952 -0.6048127057 -1.669278493 0.6348462589 --20 -75 2.66354903945818 -0.3834143162 -1.727160886 0.6503557993 --15 -75 2.62917347602059 -0.1587730865 -1.758574629 0.6587730865 --10 -75 2.58755844158903 0.06554656244 -1.763907882 0.6602021272 --5 -75 2.53924065448024 0.2861771217 -1.744006682 0.6548696168 --2.84217e-14 -75 2.48479339106725 0.5000000000 -1.700126109 0.6431118528 -5 -75 2.42482738850271 0.7041884335 -1.633884475 0.6253624602 -10 -75 2.36000048421766 0.8962462476 -1.547224140 0.6021418936 -15 -75 2.29100103513627 1.074039650 -1.442345141 0.5740396504 -20 -75 2.21855636966769 1.235824432 -1.321661011 0.5417024352 -25 -75 2.14341921939393 1.380263815 -1.187731844 0.5058162231 -30 -75 2.06637682684202 1.506446344 -1.043216202 0.4670933736 -35 -75 1.98824114302824 1.613892240 -0.8908029824 0.4262543744 -40 -75 1.90983075802726 1.702544064 -0.7331362086 0.3840076897 -45 -75 1.83196322268824 1.772750203 -0.5727502031 0.3410323891 - --45 -70 2.68866546079766 -1.341174121 -1.141174121 0.6701325763 --40 -70 2.69278295595152 -1.167293362 -1.287002854 0.7232098943 --35 -70 2.68824290724595 -0.9776360704 -1.410283009 0.7680802010 --30 -70 2.67541763592244 -0.7758289837 -1.509800622 0.8043016499 --25 -70 2.65474599880050 -0.5654718087 -1.584911667 0.8316398349 --20 -70 2.62669801200520 -0.3500403931 -1.635466786 0.8500403931 --15 -70 2.59176902602421 -0.1328293534 -1.661751299 0.8596071737 --10 -70 2.55046293211481 0.08308995178 -1.664414377 0.8605764546 --5 -70 2.50328416674846 0.2948908593 -1.644408206 0.8532948040 --2.84217e-14 -70 2.45073709164274 0.5000000000 -1.602939561 0.8382014513 -5 -70 2.39333087318518 0.6961000055 -1.541433319 0.8158150104 -10 -70 2.33158774756458 0.8811317342 -1.461505475 0.7867236541 -15 -70 2.26604905459972 1.053298671 -1.364938753 0.7515762415 -20 -70 2.19727582387697 1.211072684 -1.253656142 0.7110726838 -25 -70 2.12585776185878 1.353204606 -1.129703183 0.6659574961 -30 -70 2.05242146830357 1.478740201 -0.9952277564 0.6170124436 -35 -70 1.97763224430668 1.587037459 -0.8524503799 0.5650457284 -40 -70 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+30 -55 1.98819752103365 1.350024140 -0.7722849977 1.030905054 +35 -55 1.92774231685954 1.459134333 -0.6697857865 0.9591343335 +40 -55 1.86541713141345 1.556656169 -0.5592737854 0.8817529972 +45 -55 1.80152257641114 1.641601931 -0.4416019309 0.7993582777 + +-45 -50 2.52093743352684 -1.033033487 -0.8330334865 1.286367833 +-40 -50 2.50372619203844 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985753855 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203108270 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606235082 -0.3161757579 -1.050294561 1.468671521 +-20 -50 2.39413394903561 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272387792 0.02555109549 -1.070667417 1.485766377 +-10 -50 2.32300131933788 0.1890460796 -1.063507315 1.479758338 +-5 -50 2.28440233772345 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560929530 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136556208 0.6472188315 -0.9827189436 1.411968845 +10 -50 2.15731774595236 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756495898 0.9244822299 -0.8841892490 1.329292615 +20 -50 2.06291284275962 1.054043532 -0.8222220926 1.277295996 +25 -50 2.01259370924877 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684141647 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363549467 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477047946 1.499516481 -0.4911773569 0.9995164808 +45 -50 1.78955149905857 1.588262778 -0.3882627777 0.9131608954 + +-45 -45 2.45802394893932 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599296773 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213180376 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980569552 -0.4002168101 -0.8592212530 1.559221253 +-25 -45 2.35157187727883 -0.2363844171 -0.8791814785 1.579181479 +-20 -45 2.31982371355870 -0.07820114266 -0.8885945834 1.588594583 +-15 -45 2.28674430174519 0.07430702604 -0.8887078072 1.588707807 +-10 -45 2.25246258141727 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380443363 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233536956 0.5000000000 -0.8417772771 1.541777277 +5 -45 2.14252021316462 0.6322915933 -0.8120998311 1.512099831 +10 -45 2.10326115370517 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120009308 0.8839430137 -0.7328948345 1.432894834 +20 -45 2.01997829758520 1.003466601 -0.6832631175 1.383263117 +25 -45 1.97559534447916 1.118649015 -0.6266970945 1.326697094 +30 -45 1.92913094271482 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796729484 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874110825 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713996288 1.525204995 -0.3252049953 1.025204995 diff --git a/test/Kerr-rotating-90.par b/test/Kerr-rotating-90.par index d88e400..57afe7b 100644 --- a/test/Kerr-rotating-90.par +++ b/test/Kerr-rotating-90.par @@ -52,8 +52,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-rotating-90/BH_diagnostics.ah1.gp b/test/Kerr-rotating-90/BH_diagnostics.ah1.gp index 229fdaa..d2ac1f3 100644 --- a/test/Kerr-rotating-90/BH_diagnostics.ah1.gp +++ b/test/Kerr-rotating-90/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000025 -0.000016 0.000000 1.037138496 2.757524112 1.996578919 1.199949179 6.027862753e-06 0.000000000 1.199973740 0.000000000 1.079995031 -1.896327674 1.896646791 -1.896823711 1.896372876 -1.799354483 1.799354483 12.56610360 10.83739785 11.22768496 0.8624310440 0.8934897649 45.23795683 0.9486730499 1.897346100 1.026535384e-15 -1.470486279 -1.458858195e-15 0.7352431395 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616835393e-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 -3.511909764e-15 -1.470552902 5.170909300e-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/h.t0.ah1.gp b/test/Kerr-rotating-90/h.t0.ah1.gp index 962db0f..7edacb0 100644 --- a/test/Kerr-rotating-90/h.t0.ah1.gp +++ b/test/Kerr-rotating-90/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45809497568487 -0.9191817959 -0.7191817959 1.419181796 --40 -45 2.43573361875866 -0.7428905754 -0.7812193084 1.481219308 --35 -45 2.41003674951391 -0.5693636874 -0.8272096186 1.527209619 --30 -45 2.38181071952798 -0.4002398334 -0.8592611305 1.559261130 --25 -45 2.35162844642942 -0.2364021314 -0.8792194672 1.579219467 --20 -45 2.31987614373998 -0.07821421055 -0.8886304871 1.588630487 --15 -45 2.28679437143493 0.07429770523 -0.8887425930 1.588742593 --10 -45 2.25251259945336 0.2213100631 -0.8805291724 1.580529172 --5 -45 2.21707485112754 0.3631049720 -0.8647173302 1.564717330 -0 -45 2.18045618007439 0.5000000000 -0.8418153510 1.541815351 -5 -45 2.14257770706804 0.6322951433 -0.8121404078 1.512140408 -10 -45 2.10332257415165 0.7602315457 -0.7758464340 1.475846434 -15 -45 2.06254019901825 0.8839558584 -0.7329427713 1.432942771 -20 -45 2.02005583424820 1.003485926 -0.6833162139 1.383316214 -25 -45 1.97567957351479 1.118675391 -0.6267536579 1.326753658 -30 -45 1.92921962313221 1.229176478 -0.5629707079 1.262970708 -35 -45 1.88049773504212 1.334400551 -0.4916474839 1.191647484 -40 -45 1.82937588733332 1.433482230 -0.4124808008 1.112480801 -45 -45 1.77578548352283 1.525250227 -0.3252502269 1.025250227 - --45 -40 2.41011028732070 -0.9656372378 -0.5298156657 1.465637238 --40 -40 2.38616641451152 -0.7902388435 -0.5902388435 1.537646777 --35 -40 2.35874513002701 -0.6149412928 -0.6360993370 1.592301185 --30 -40 2.32863624967127 -0.4418908576 -0.6689095050 1.631402821 --25 -40 2.29642904603321 -0.2725060316 -0.6900898148 1.656644531 --20 -40 2.26254563579865 -0.1076595911 -0.7009028508 1.669531005 --15 -40 2.22727258573946 0.05216461119 -0.7024244901 1.671344424 --10 -40 2.19079210585124 0.2067434322 -0.6955406990 1.663140642 --5 -40 2.15320284907603 0.3560149118 -0.6809541661 1.645757089 -0 -40 2.11453742610436 0.5000000000 -0.6591984577 1.619829645 -5 -40 2.07477895938967 0.6387408676 -0.6306570948 1.585815373 -10 -40 2.03387847672593 0.7722523145 -0.5955862784 1.544019602 -15 -40 1.99176013850055 0.9004811453 -0.5541317190 1.494615982 -20 -40 1.94833594159247 1.023271223 -0.5063532915 1.437675869 -25 -40 1.90351622637553 1.140332332 -0.4522491945 1.373197117 -30 -40 1.85722337738049 1.251212956 -0.3917852604 1.301139006 -35 -40 1.80940740301982 1.355278090 -0.3249297395 1.221463699 -40 -40 1.76006926692676 1.451697971 -0.2516979711 1.134189476 -45 -40 1.70928281630444 1.539449754 -0.1722019053 1.039449754 - --45 -35 2.36090324725250 -0.9960743435 -0.3475625330 1.496074343 --40 -35 2.33484744917564 -0.8225626157 -0.4036452393 1.576168749 --35 -35 2.30532309636124 -0.6469969363 -0.4469969363 1.638081388 --30 -35 2.27309208319421 -0.4718265525 -0.4786264149 1.683252965 --25 -35 2.23874884473053 -0.2988548621 -0.4995603902 1.713149780 --20 -35 2.20274231131581 -0.1293637947 -0.5107728376 1.729162815 --15 -35 2.16540070338436 0.03576480123 -0.5131441141 1.732549348 --10 -35 2.12695402827326 0.1959410679 -0.5074406053 1.724403894 --5 -35 2.08755279485499 0.3507750864 -0.4943079843 1.705648567 -0 -35 2.04728583555116 0.5000000000 -0.4742749137 1.677038377 -5 -35 2.00619708802348 0.6434093489 -0.4477636428 1.639176359 -10 -35 1.96430275972128 0.7808071033 -0.4151058658 1.592536220 -15 -35 1.92159746254288 0.9119667914 -0.3765557838 1.537480997 -20 -35 1.87806847423279 1.036598537 -0.3323106267 1.474292364 -25 -35 1.83370816510120 1.154323814 -0.2825325816 1.403201948 -30 -35 1.78852600072346 1.264657565 -0.2273728960 1.324425753 -35 -35 1.74256091650619 1.366998659 -0.1669986588 1.238202406 -40 -35 1.69589863109436 1.460633265 -0.1016242994 1.144838145 -45 -35 1.64868448961213 1.544750380 -0.03154209182 1.044750380 - --45 -30 2.31116666720212 -1.013013742 -0.1735388914 1.513013742 --40 -30 2.28256605685181 -0.8418267329 -0.2232563055 1.599126830 --35 -30 2.25062244169144 -0.6669756273 -0.2622199931 1.666613916 --30 -30 2.21607078162206 -0.4910569821 -0.2910569821 1.716561046 --25 -30 2.17950812136514 -0.3161246226 -0.3104697239 1.750184901 --20 -30 2.14140726966146 -0.1437639406 -0.3211749462 1.768726890 --15 -30 2.10213349420432 0.02482402391 -0.3238619315 1.773380885 --10 -30 2.06196056146436 0.1887392462 -0.3191660930 1.765247454 --5 -30 2.02108750262512 0.3473051049 -0.3076555664 1.745310638 -0 -30 1.97965466185880 0.5000000000 -0.2898273309 1.714431228 -5 -30 1.93776009384396 0.6463994379 -0.2661109390 1.673353232 -10 -30 1.89547605431896 0.7861292871 -0.2368777273 1.622719824 -15 -30 1.85285519102867 0.9188279557 -0.2024488216 1.563087210 -20 -30 1.80994333492705 1.044117072 -0.1631094206 1.494949369 -25 -30 1.76678985218744 1.161580788 -0.1191241118 1.418764579 -30 -30 1.72345899116314 1.270754292 -0.07075429213 1.334985594 -35 -30 1.68003827462885 1.371120666 -0.01827525889 1.244089242 -40 -30 1.63665029570576 1.462119415 0.03800482973 1.146609269 -45 -30 1.59345848082447 1.543163444 0.09772930503 1.043163444 - --45 -25 2.26132687932119 -1.018578088 -0.008124591852 1.518578088 --40 -25 2.22986126779403 -0.8497945613 -0.05011299909 1.608622518 --35 -25 2.19527031374984 -0.6762638405 -0.08334037685 1.679878859 --30 -25 2.15826946005689 -0.5006229956 -0.1081717298 1.733129868 --25 -25 2.11945995876398 -0.3250668076 -0.1250668076 1.769361479 --20 -25 2.07933725318127 -0.1513842344 -0.1345337841 1.789663475 --15 -25 2.03829910746759 0.01899061710 -0.1370928714 1.795151456 --10 -25 1.99665838553201 0.1849189062 -0.1332515329 1.786913679 --5 -25 1.95465675739443 0.3454969590 -0.1234889909 1.765977840 -0 -25 1.91247877767717 0.5000000000 -0.1082484566 1.733294409 -5 -25 1.87026620198603 0.6478325106 -0.08793559105 1.689733328 -10 -25 1.82813355622191 0.7884871667 -0.06292224005 1.636092024 -15 -25 1.78617439847064 0.9215115642 -0.03354977718 1.573102574 -20 -25 1.74447205415383 1.046482583 -0.0001369606224 1.501448557 -25 -25 1.70310687064623 1.162988203 0.03701179728 1.421782789 -30 -25 1.66216845680603 1.270619244 0.07759506777 1.334751685 -35 -25 1.62175736814114 1.368965675 0.1213067885 1.241011597 -40 -25 1.58199600118878 1.457624418 0.1678252938 1.141252340 -45 -25 1.54303011113756 1.536210968 0.2168068899 1.036210968 - --45 -20 2.21161688922916 -1.014495515 0.1487687125 1.514495515 --40 -20 2.17707868910163 -0.8479841882 0.1152945580 1.606464999 --35 -20 2.13971041118938 -0.6761263371 0.08864557279 1.679682484 --30 -20 2.10021676213214 -0.5015323893 0.06861902073 1.734704984 --25 -20 2.05920545302663 -0.3264539657 0.05492236029 1.772336249 --20 -20 2.01719098629190 -0.1527944252 0.04720557481 1.793537943 --15 -20 1.97459877158494 0.01786441950 0.04508852746 1.799354483 --10 -20 1.93177391517635 0.1842236184 0.04818141202 1.790856852 --5 -20 1.88899195503939 0.3452235180 0.05609906318 1.769103284 -0 -20 1.84647077986526 0.5000000000 0.06846979922 1.735114966 -5 -20 1.80438322757147 0.6478439796 0.08493965127 1.689864420 -10 -20 1.76287020243773 0.7881666273 0.1051728532 1.634274154 -15 -20 1.72204681150415 0.9204702500 0.1288519626 1.569216336 -20 -20 1.68201239453759 1.044325412 0.1556745882 1.495521778 -25 -20 1.64285620961259 1.159353843 0.1853501361 1.413988880 -30 -20 1.60466685757040 1.265219029 0.2175944930 1.325398237 -35 -20 1.56753372102156 1.361620191 0.2521269256 1.230521159 -40 -20 1.53155503117770 1.448294600 0.2886650464 1.130133497 -45 -20 1.49683785952567 1.525021213 0.3269227891 1.025021213 - --45 -15 2.16213128827059 -1.002133341 0.2975045844 1.502133341 --40 -15 2.12441950601004 -0.8376620184 0.2728451733 1.594163516 --35 -15 2.08424390102166 -0.6676768263 0.2531638185 1.667615332 --30 -15 2.04230431222568 -0.4947216214 0.2383480889 1.722908388 --25 -15 1.99921448240033 -0.3210415172 0.2282140286 1.760729216 --20 -15 1.95550272662875 -0.1485779231 0.2225270795 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1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044908396 1.839752606 0.4637654682 0.000000000 +90 -5 1.30956743384650 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137361371 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541951462 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822057667 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720144522 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041107628 1.556722326 1.084615473 0.000000000 +90 25 1.10054399696132 1.497431594 1.165109991 0.000000000 +90 30 1.08055683200000 1.435789667 1.240278416 0.000000000 +90 35 1.06445609487831 1.371951386 1.310546934 0.000000000 +90 40 1.05213486255970 1.305982065 1.376299253 0.000000000 +90 45 1.04350448186675 1.237869095 1.437869095 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12197076477727 1.147770123 1.347770123 0.6477701231 -40 45 1.12786802516783 1.075521284 1.385879557 0.6858795573 -35 45 1.13604657746718 1.004078188 1.419898259 0.7198982591 -30 45 1.14621591578856 0.9332288946 1.450374457 0.7503744567 -25 45 1.15817407719012 0.8626771314 1.477763618 0.7777636182 -20 45 1.17179529402280 0.7920624416 1.502434963 0.8024349635 -15 45 1.18702177782701 0.7209721613 1.524679333 0.8246793331 -10 45 1.20385593592418 0.6489459082 1.544714221 0.8447142212 -5 45 1.22235505166572 0.5754752727 1.562686315 0.8626863148 -0 45 1.24263084791149 0.5000000000 1.578672699 0.8786726991 --5 45 1.26484981446628 0.4219008548 1.592677315 0.8926773148 --10 45 1.28923343611609 0.3404908434 1.604621380 0.9046213798 --15 45 1.31606438972432 0.2550056805 1.614331248 0.9143312478 --20 45 1.34569067821803 0.1645952521 1.621516971 0.9215169712 --25 45 1.37853135328568 0.06831895431 1.625742990 0.9257429899 --30 45 1.41508164459957 -0.03485058807 1.626388393 0.9263883930 --35 45 1.45591273353908 -0.1460068335 1.622593372 0.9225933716 --40 45 1.50166434512835 -0.2662596795 1.613192726 0.9131927258 --45 45 1.55301977002788 -0.3966363823 1.596636382 0.8966363823 - -45 50 1.10258168213789 1.170502416 1.370502416 0.5626183302 -40 50 1.10634518571364 1.098218768 1.412929366 0.5982187681 -35 50 1.11278028181581 1.025993534 1.451196617 0.6303288040 -30 50 1.12161593216223 0.9536731713 1.485784983 0.6593518892 -25 50 1.13265617183604 0.8810192725 1.517098467 0.6856270220 -20 50 1.14577329840747 0.8077242390 1.545465398 0.7094297038 -15 50 1.16090268717813 0.7334214993 1.571140895 0.7309740036 -10 50 1.17803930453208 0.6576908016 1.594308976 0.7504143319 -5 50 1.19723333335373 0.5800592230 1.615081106 0.7678442188 -0 50 1.21859002520205 0.5000000000 1.633494117 0.7832945695 --5 50 1.24227010537668 0.4169291594 1.649504053 0.7967285006 --10 50 1.26848817671969 0.3302018306 1.662973271 0.8080305165 --15 50 1.29751708966398 0.2391095845 1.673656286 0.8169946304 --20 50 1.32968857697630 0.1428810079 1.681176367 0.8233047275 --25 50 1.36539382981952 0.04068906644 1.684995476 0.8265093404 --30 50 1.40508206482643 -0.06833004777 1.684376518 0.8259899734 --35 50 1.44925016503345 -0.1850374939 1.678334931 0.8209204801 --40 50 1.49842705536698 -0.3102237879 1.665587110 0.8102237879 --45 50 1.55313505648450 -0.4444931155 1.644493116 0.7925238249 - -45 55 1.08685497333872 1.188726166 1.388726166 0.4822512529 -40 55 1.08863473200976 1.116651679 1.434896853 0.5145803165 -35 55 1.09338409914610 1.044005399 1.476920227 0.5440053995 -30 55 1.10086981624035 0.9706604392 1.515207794 0.5708146425 -25 55 1.11091930684110 0.8964103842 1.550104812 0.5952497978 -20 55 1.12341844206183 0.8209812106 1.581888628 0.6175050654 -15 55 1.13830903558393 0.7440394152 1.610767497 0.6377262667 -10 55 1.15558878816312 0.6651973142 1.636880525 0.6560108058 -5 55 1.17530772684624 0.5840147346 1.660292810 0.6724042648 -0 55 1.19756818699709 0.5000000000 1.680990429 0.6868968930 --5 55 1.22252532169888 0.4126100016 1.698872253 0.6994178812 --10 55 1.25038396208754 0.3212512320 1.713734638 0.7098246356 --15 55 1.28140064807527 0.2252835082 1.725255905 0.7178919133 --20 55 1.31588116052742 0.1240286681 1.732972745 0.7232953026 --25 55 1.35417662848663 0.01678787626 1.736251743 0.7255912822 --30 55 1.39667633875710 -0.09712809759 1.734256204 0.7241939902 --35 55 1.44379000320537 -0.2183473384 1.725906319 0.7183473384 --40 55 1.49592703747383 -0.3473603602 1.709844753 0.7071009088 --45 55 1.55345387370402 -0.4844039509 1.684403951 0.6892870670 - -45 60 1.07421109074268 1.203236234 1.403236234 0.4060136288 -40 60 1.07421991374508 1.131489719 1.452580141 0.4345023470 -35 60 1.07741721347030 1.058654177 1.497840850 0.4606336294 -30 60 1.08361634096633 0.9846079600 1.539365608 0.4846079600 -25 60 1.09267813681885 0.9091572421 1.577440537 0.5065905304 -20 60 1.10451363748340 0.8320461557 1.612289315 0.5267104816 -15 60 1.11908138913254 0.7529623323 1.644068276 0.5450580735 -10 60 1.13638997248659 0.6715423690 1.672865119 0.5616839381 -5 60 1.15649524332956 0.5873742080 1.698691768 0.5765949609 -0 60 1.17950029880017 0.5000000000 1.721477223 0.5897501494 --5 60 1.20555503883499 0.4089192823 1.741057367 0.6010547509 --10 60 1.23485248062871 0.3135943426 1.757159016 0.6103510424 --15 60 1.26762923903692 0.2134592248 1.769384731 0.6174095626 --20 60 1.30415862360850 0.1079352552 1.777189033 0.6219153784 --25 60 1.34474387879999 -0.003544162040 1.779853940 0.6234539631 --30 60 1.38970652628232 -0.1214956523 1.776462046 0.6214956523 --35 60 1.43936540035281 -0.2463287977 1.765867985 0.6153791680 --40 60 1.49401119077876 -0.3782677500 1.746678746 0.6043002560 --45 60 1.55386839862766 -0.5172456510 1.717245651 0.5873070504 - -45 65 1.06418829799666 1.214648132 1.414648132 0.3332458969 -40 65 1.06267515765183 1.143265646 1.466614144 0.3574780463 -35 65 1.06450573912909 1.070380605 1.514587924 0.3798485870 -30 65 1.06954094026001 0.9958635978 1.558860945 0.4004934360 -25 65 1.07767982131451 0.9195209474 1.599665575 0.4195209474 -20 65 1.08886375523654 0.8411032445 1.637173462 0.4370111624 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0.3012447883 -30 70 1.05837911594030 1.004710268 1.574183827 0.3181768924 -25 70 1.06570703210874 0.9277173031 1.617242717 0.3338490464 -20 70 1.07629850205961 0.8483069609 1.656965510 0.3483069609 -15 70 1.09016100481217 0.7661833971 1.693409962 0.3615716566 -10 70 1.10733859770905 0.6810105069 1.726561597 0.3736378649 -5 70 1.12790928670440 0.5924163975 1.756324257 0.3844705873 -0 70 1.15198489024681 0.5000000000 1.782511701 0.3940020373 --5 70 1.17971031796082 0.4033392322 1.804837632 0.4021280117 --10 70 1.21125458610542 0.3020029221 1.822897228 0.4087011673 --15 70 1.24680968424518 0.1955678695 1.836156178 0.4135270304 --20 70 1.28657803084867 0.08364330804 1.843930610 0.4163566920 --25 70 1.33076276362178 -0.03409637283 1.845373368 0.4168818130 --30 70 1.37955100105519 -0.1578678140 1.839460478 0.4147296973 --35 70 1.43309393709456 -0.2877231957 1.824985312 0.4094611675 --40 70 1.49147844048246 -0.4234803339 1.800561006 0.4005714470 --45 70 1.55470564465573 -0.5646485556 1.764648556 0.3875003842 - -45 75 1.05064919881978 1.229934949 1.429934949 0.1955854801 -40 75 1.04690507829634 1.159194267 1.485597136 0.2105001183 -35 75 1.04668057126113 1.086392335 1.537455044 0.2243954028 -30 75 1.04991598809008 1.011370479 1.585719651 0.2373278652 -25 75 1.05658053617204 0.9339186686 1.630541588 0.2493378670 -20 75 1.06667556609741 0.8537822852 1.672008840 0.2604489837 -15 75 1.08023259807063 0.7706661121 1.710139682 0.2706661121 -10 75 1.09731324876710 0.6842399017 1.744876405 0.2799737889 -5 75 1.11800893259719 0.5941446363 1.776078117 0.2883342624 -0 75 1.14243759511965 0.5000000000 1.803509978 0.2956846075 --5 75 1.17074292502971 0.4014147708 1.826834326 0.3019343477 --10 75 1.20308391752157 0.2980011059 1.845592656 0.3069606270 --15 75 1.23963230603352 0.1893942496 1.859196441 0.3106057504 --20 75 1.28055918419764 0.07527933620 1.866910433 0.3126727083 --25 75 1.32602430982310 -0.04457439197 1.867843552 0.3129227367 --30 75 1.37615888092812 -0.1702698443 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-1.323784740 1.021582457 0.8504447909 +-65 5 2.10788192132956 -1.404412500 0.8666145044 0.8880421331 +-65 -2.84217e-14 2.17679452318613 -1.472845827 0.7000000000 0.9199531176 +-65 -5 2.24414008239528 -1.527517947 0.5226151646 0.9454471456 +-65 -10 2.30943103933211 -1.566830232 0.3355620655 0.9637787654 +-65 -15 2.37214533230538 -1.589173336 0.1402076917 0.9741975260 +-65 -20 2.43171568384398 -1.592951846 -0.06177217357 0.9759594738 +-65 -25 2.48752035214123 -1.576624600 -0.2683459540 0.9683459540 +-65 -30 2.53887523217827 -1.538763267 -0.4770805209 0.9506909245 +-65 -35 2.58502948291156 -1.478132876 -0.6851035512 0.9224185088 +-65 -40 2.62516952189175 -1.393797998 -0.8890852020 0.8830925097 +-65 -45 2.65843312843231 -1.285251984 -1.085251984 0.8324766717 + +-60 45 1.55386051434710 -0.5172404895 1.717240489 0.5873040704 +-60 40 1.61686103017624 -0.6327452475 1.650486119 0.6539907736 +-60 35 1.68131710139362 -0.7450362294 1.571783753 0.7188220022 +-60 30 1.74679375203759 -0.8530606222 1.481189914 0.7811899144 +-60 25 1.81290038163084 -0.9557921782 1.378847041 0.8405020060 +-60 20 1.87928904297435 -1.052226478 1.264964235 0.8961783751 +-60 15 1.94564851766309 -1.141368591 1.139803388 0.9476445977 +-60 10 2.01169112188205 -1.222211714 1.003672392 0.9943193964 +-60 5 2.07714096278993 -1.293715618 0.8569297821 1.035602195 +-60 -2.84217e-14 2.14173672788291 -1.354798415 0.7000000000 1.070868364 +-60 -5 2.20519723927422 -1.404298648 0.5333954563 1.099447337 +-60 -10 2.26720745369714 -1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126907134 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946639091 -1.470247581 -0.01711147363 1.137522971 +-60 -25 2.44064240962569 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310583039 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249623817 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239849421 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350586496 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725740695 -0.4843934213 1.684393421 0.6892796942 +-55 40 1.61389995954310 -0.5894838892 1.614185530 0.7628648320 +-55 35 1.67510941874413 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902426493 -0.7860546373 1.442503991 0.9005051516 +-55 25 1.79841775358161 -0.8761967925 1.341731103 0.9636233681 +-55 20 1.86001874491116 -0.9601232435 1.231441399 1.022389302 +-55 15 1.92134162888527 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249308200 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852073154 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807402906 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860199661 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641934428 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170055384 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915032397 -1.331132429 0.03352230088 1.282172730 +-55 -25 2.38677985062535 -1.326427018 -0.1516769055 1.278877966 +-55 -30 2.43878789207395 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443149290 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109416370 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652029373 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969447851 -0.4444776924 1.644477692 0.7925108833 +-50 40 1.61061861048356 -0.5378834018 1.570887580 0.8708875796 +-50 35 1.66814588714650 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208293950 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836436586 -0.7857865889 1.299572133 1.078903053 +-50 20 1.83878708840515 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123458020 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266967421 -0.9804894902 0.9610502418 1.242278185 +-50 5 2.00520397570766 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937758482 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260962781 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045457270 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441040505 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424801027 -1.178259331 0.08916355817 1.408226786 +-50 -25 2.32670150506783 -1.178483091 -0.08268951937 1.408414543 +-50 -30 2.37807195256149 -1.166036630 -0.2618866970 1.397970722 +-50 -35 2.42803828179586 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636342490 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722382675 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517034095 -0.3966164061 1.596616406 0.8966164061 +-45 40 1.60711896530312 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515587485 -0.5522726704 1.436809256 1.052272670 +-45 30 1.71317762134876 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024605741 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247469452 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499782819 -0.7966159817 1.047427205 1.296615982 +-45 10 1.91610180087614 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254772284 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297831417 -0.9245677116 0.7000000000 1.424567712 +-45 -5 2.06370466330831 -0.9564751611 0.5725749347 1.456475161 +-45 -10 2.11281191528484 -0.9825048565 0.4385943948 1.482504856 +-45 -15 2.16207745621636 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667232777 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854819824 -1.018545631 -0.008109457173 1.518545631 +-45 -30 2.31111866829991 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316592416 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274135359 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434767335 -0.9191410188 -0.7191410188 1.419141019 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.74056811935898 -1.437874302 -1.237874302 2.373211560e-16 --40 -90 2.75378321925098 -1.270097733 -1.409520333 2.583417323e-16 --35 -90 2.75752411183207 -1.081650853 -1.558831513 2.766270783e-16 --30 -90 2.75174290361925 -0.8758714518 -1.683079259 2.918430387e-16 --25 -90 2.73651986667814 -0.6565032693 -1.780129265 3.037282365e-16 --20 -90 2.71205800784117 -0.4275784685 -1.848500897 3.121013466e-16 --15 -90 2.67869675644034 -0.1932977366 -1.887422378 3.168678533e-16 --10 -90 2.63688390288798 0.04210991554 -1.896823711 3.180191846e-16 --5 -90 2.58717579713030 0.2745127718 -1.877330812 3.156319929e-16 --2.84217e-14 -90 2.53023388140342 0.5000000000 -1.830233881 3.098642824e-16 -5 -90 2.46681781558543 0.7149973389 -1.757430829 3.009484799e-16 -10 -90 2.39778185336815 0.9163704493 -1.661354159 2.891824813e-16 -15 -90 2.32404266942510 1.101506504 -1.544852836 2.749151840e-16 -20 -90 2.24657379045585 1.268373490 -1.411088813 2.585338157e-16 -25 -90 2.16637943042652 1.415551509 -1.263406547 2.404479544e-16 -30 -90 2.08447564800173 1.542237824 -1.105208865 2.210743258e-16 -35 -90 2.00187620539572 1.648229020 -0.9398409861 2.008226015e-16 -40 -90 1.91955679697139 1.733867325 -0.7704658176 1.800801257e-16 -45 -90 1.83843101313152 1.799967036 -0.5999670361 1.592000470e-16 - --45 -85 2.73738903179787 -1.431932995 -1.231932995 0.1690222358 --40 -85 2.75001021483688 -1.263715882 -1.401914739 0.1838937114 --35 -85 2.75319877319251 -1.075130117 -1.549518936 0.1968074053 --30 -85 2.74693730321767 -0.8695432091 -1.672118421 0.2075334704 --25 -85 2.73133123961034 -0.6506988109 -1.767681563 0.2158941620 --20 -85 2.70660530213881 -0.4226009063 -1.834825157 0.2217684653 --15 -85 2.67311248197365 -0.1893951322 -1.872857660 0.2250958781 --10 -85 2.63130906506980 0.04476456314 -1.881768457 0.2258754718 --5 -85 2.58175083572678 0.2758353687 -1.862213460 0.2241646313 --2.84217e-14 -85 2.52508938986107 0.5000000000 -1.815480662 0.2200760413 -5 -85 2.46206675089565 0.7137728698 -1.743435083 0.2137728698 -10 -85 2.39351229571625 0.9140948815 -1.648448773 0.2054626445 -15 -85 2.32031729877167 1.098409331 -1.533294026 0.1953879096 -20 -85 2.24342418487690 1.264716298 -1.401040760 0.1838172481 -25 -85 2.16380769755046 1.411603437 -1.254939879 0.1710350772 -30 -85 2.08245677387515 1.538252504 -1.098306088 0.1573313962 -35 -85 2.00036247491375 1.644425607 -0.9344091502 0.1429922722 -40 -85 1.91848238758020 1.730416469 -0.7663532468 0.1282892858 -45 -85 1.83772014149356 1.796984877 -0.5969848772 0.1134714735 - --45 -80 2.72779861856046 -1.414024940 -1.214024940 0.3374942387 --40 -80 2.73865771358611 -1.244532623 -1.379053021 0.3665931420 --35 -80 2.74021698832832 -1.055580993 -1.521599894 0.3917280017 --30 -80 2.73254676076126 -0.8506170089 -1.639337281 0.4124882796 --25 -80 2.71582577322075 -0.6333766482 -1.730534066 0.4285687333 --20 -80 2.69034153248971 -0.4077742510 -1.794089256 0.4397752282 --15 -80 2.65648371807547 -0.1777880543 -1.829539455 0.4460260548 --10 -80 2.61472826418186 0.05265171132 -1.837038217 0.4473482887 --5 -80 2.56562673787329 0.2797627965 -1.817322754 0.4438719208 --2.84217e-14 -80 2.50980146115198 0.5000000000 -1.771671937 0.4358224500 -5 -80 2.44794331348155 0.7101350838 -1.701854999 0.4235118400 -10 -80 2.38081203703257 0.9073280597 -1.610072219 0.4073280597 -15 -80 2.30922178149192 1.089185971 -1.498871978 0.3877204568 -20 -80 2.23402996489525 1.253805736 -1.371064237 0.3651845038 -25 -80 2.15612287037861 1.399799735 -1.229626760 0.3402452604 -30 -80 2.07641144165485 1.526308735 -1.077618874 0.3134421689 -35 -80 1.99581820166298 1.632996720 -0.9180870073 0.2853123965 -40 -80 1.91524814324318 1.720018424 -0.7539613400 0.2563726131 -45 -80 1.83557410394395 1.787974336 -0.5879743359 0.2271046259 - --45 -75 2.71164072478238 -1.383903148 -1.183903148 0.5047903273 --40 -75 2.71963006140042 -1.212442306 -1.340809270 0.5468331958 --35 -75 2.71856718403369 -1.023050109 -1.475140978 0.5828272684 --30 -75 2.70865479529205 -0.8192732708 -1.585048334 0.6122768558 --25 -75 2.69018933342431 -0.6048124908 -1.669278032 0.6348461354 --20 -75 2.66354850115496 -0.3834141377 -1.727160395 0.6503556678 --15 -75 2.62917292097913 -0.1587729474 -1.758574110 0.6587729474 --10 -75 2.58755786814986 0.06554665872 -1.763907336 0.6602019809 --5 -75 2.53924006110203 0.2861771717 -1.744006111 0.6548694638 --2.84217e-14 -75 2.48479277635593 0.5000000000 -1.700125516 0.6431116937 -5 -75 2.42482675126009 0.7041883799 -1.633883861 0.6253622959 -10 -75 2.35999982349142 0.8962461367 -1.547223511 0.6021417250 -15 -75 2.29100035028914 1.074039479 -1.442344500 0.5740394788 -20 -75 2.21855566046225 1.235824197 -1.321660365 0.5417022621 -25 -75 2.14341848604588 1.380263514 -1.187731198 0.5058160500 -30 -75 2.06637607018963 1.506445975 -1.043215564 0.4670932026 -35 -75 1.98824036460311 1.613891804 -0.8908023595 0.4262542076 -40 -75 1.90982996011955 1.702543562 -0.7331356099 0.3840075293 -45 -75 1.83196240851809 1.772749637 -0.5727496374 0.3410322375 - --45 -70 2.68866496525178 -1.341173782 -1.141173782 0.6701324528 --40 -70 2.69278245117441 -1.167293049 -1.287002482 0.7232097587 --35 -70 2.68824239123742 -0.9776357868 -1.410282604 0.7680800536 --30 -70 2.67541710684148 -0.7758287314 -1.509800185 0.8043014908 --25 -70 2.65474545496204 -0.5654715905 -1.584911199 0.8316396645 --20 -70 2.62669745181012 -0.3500402118 -1.635466288 0.8500402118 --15 -70 2.59176844800253 -0.1328292123 -1.661750773 0.8596069820 --10 -70 2.55046233492452 0.08309004940 -1.664413823 0.8605762531 --5 -70 2.50328354919139 0.2948909099 -1.644407628 0.8532945935 --2.84217e-14 -70 2.45073645267962 0.5000000000 -1.602938960 0.8382012328 -5 -70 2.39333021196027 0.6960999513 -1.541432700 0.8158147850 -10 -70 2.33158706346203 0.8811316223 -1.461504841 0.7867234232 -15 -70 2.26604834730322 1.053298498 -1.364938108 0.7515760069 -20 -70 2.19727509341189 1.211072447 -1.253655493 0.7110724474 -25 -70 2.12585700867933 1.353204304 -1.129702534 0.6659572601 -30 -70 2.05242069341692 1.478739832 -0.9952271163 0.6170122107 -35 -70 1.97763144933195 1.587037022 -0.8524497558 0.5650455013 -40 -70 1.90219048637207 1.677781360 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1.350024140 -0.7722849977 1.030905054 +35 -55 1.92774231685055 1.459134333 -0.6697857865 0.9591343335 +40 -55 1.86541713140485 1.556656169 -0.5592737854 0.8817529972 +45 -55 1.80152257640277 1.641601931 -0.4416019309 0.7993582776 + +-45 -50 2.52093743351681 -1.033033487 -0.8330334865 1.286367833 +-40 -50 2.50372619202871 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985752907 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203107325 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606234139 -0.3161757579 -1.050294561 1.468671521 +-20 -50 2.39413394902614 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272386826 0.02555109549 -1.070667417 1.485766377 +-10 -50 2.32300131932800 0.1890460797 -1.063507315 1.479758338 +-5 -50 2.28440233771392 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560928623 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136555339 0.6472188315 -0.9827189435 1.411968845 +10 -50 2.15731774594390 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756495075 0.9244822299 -0.8841892490 1.329292615 +20 -50 2.06291284275158 1.054043532 -0.8222220926 1.277295996 +25 -50 2.01259370924072 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684140826 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363548586 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477047060 1.499516481 -0.4911773569 0.9995164808 +45 -50 1.78955149905004 1.588262778 -0.3882627777 0.9131608954 + +-45 -45 2.45802394892929 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599295793 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213179407 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980568560 -0.4002168101 -0.8592212530 1.559221253 +-25 -45 2.35157187726911 -0.2363844171 -0.8791814785 1.579181479 +-20 -45 2.31982371354909 -0.07820114266 -0.8885945834 1.588594583 +-15 -45 2.28674430173532 0.07430702605 -0.8887078072 1.588707807 +-10 -45 2.25246258140721 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380442396 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233536038 0.5000000000 -0.8417772770 1.541777277 +5 -45 2.14252021315602 0.6322915933 -0.8120998310 1.512099831 +10 -45 2.10326115369703 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120008529 0.8839430137 -0.7328948345 1.432894834 +20 -45 2.01997829757778 1.003466601 -0.6832631175 1.383263117 +25 -45 1.97559534447194 1.118649015 -0.6266970945 1.326697094 +30 -45 1.92913094270716 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796728632 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874109935 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713995404 1.525204995 -0.3252049953 1.025204995 diff --git a/test/Kerr-selection-areal-radius-definition-expansion-product.par b/test/Kerr-selection-areal-radius-definition-expansion-product.par index abb8b3d..3b746aa 100644 --- a/test/Kerr-selection-areal-radius-definition-expansion-product.par +++ b/test/Kerr-selection-areal-radius-definition-expansion-product.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-selection-areal-radius-definition-expansion-product/BH_diagnostics.ah1.gp b/test/Kerr-selection-areal-radius-definition-expansion-product/BH_diagnostics.ah1.gp index 8a41a91..0a52209 100644 --- a/test/Kerr-selection-areal-radius-definition-expansion-product/BH_diagnostics.ah1.gp +++ b/test/Kerr-selection-areal-radius-definition-expansion-product/BH_diagnostics.ah1.gp @@ -40,4 +40,4 @@ # column 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000023 0.000000 0.000000 1.140952225 2.861310234 2.095388168 1.334545583 4.266100675e-06 0.000000000 1.334550987 -0.000000000 1.216417184 -2.000816075 2.001091988 -2.000940575 2.000908054 -1.909799041 1.909799041 13.15210649 11.54425898 11.91559584 0.8777498106 0.9059838326 50.26548262 1.000000002 2.000000003 0.03192513685 -1.381621379 -0.04409903911 0.7067732578 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6831264634 0.7175607184 35.46695400 +0 0.000 0.000058 0.000023 0.000000 1.140969902 2.861241611 2.095376764 1.334529134 1.661875395e-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 0.03194532815 -1.381638850 -0.04412748646 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/h.t0.ah1.gp b/test/Kerr-selection-areal-radius-definition-expansion-product/h.t0.ah1.gp index 14ade11..56f4724 100644 --- a/test/Kerr-selection-areal-radius-definition-expansion-product/h.t0.ah1.gp +++ b/test/Kerr-selection-areal-radius-definition-expansion-product/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.57135534880282 -0.9845727028 -0.7845727028 1.484572703 --40 -45 2.54972835711768 -0.8010590815 -0.8505418346 1.550541835 --35 -45 2.52470739753110 -0.6202444995 -0.8998749490 1.599874949 --30 -45 2.49709159041707 -0.4438119070 -0.9347301758 1.634730176 --25 -45 2.46745198686919 -0.2726717650 -0.9569999474 1.656999947 --20 -45 2.43617623083012 -0.1072012594 -0.9682717492 1.668271749 --15 -45 2.40350800257950 0.05257067055 -0.9698289903 1.669828990 --10 -45 2.36958113163954 0.2068258725 -0.9626730993 1.662673099 --5 -45 2.33444269286313 0.3558580024 -0.9475505714 1.647550571 -0 -45 2.29807118223334 0.5000000000 -0.9249817166 1.624981717 -5 -45 2.26039130541740 0.6395696365 -0.8952882451 1.595288245 -10 -45 2.22128822968655 0.7748267320 -0.8586198489 1.558619849 -15 -45 2.18061124671848 0.9059355853 -0.8149722291 1.514972229 -20 -45 2.13818462172511 1.032928767 -0.7642097537 1.464209754 -25 -45 2.09381857635308 1.155670102 -0.7060890705 1.406089071 -30 -45 2.04731926685610 1.273813948 -0.6402850732 1.340285073 -35 -45 1.99850476547480 1.386761758 -0.5664270374 1.266427037 -40 -45 1.94722999724427 1.493620071 -0.4841502895 1.184150290 -45 -45 1.89341991956443 1.593166500 -0.3931665002 1.093166500 - --45 -40 2.52436131138569 -1.035115617 -0.5881149476 1.535115617 --40 -40 2.50124160626614 -0.8524618643 -0.6524618643 1.611801286 --35 -40 2.47457682115024 -0.6696930902 -0.7017116169 1.670494855 --30 -40 2.44514256995295 -0.4890155375 -0.7373987803 1.713025160 --25 -40 2.41352377477903 -0.3118960508 -0.7609703805 1.741116700 --20 -40 2.38014311528082 -0.1392431469 -0.7737158106 1.756306112 --15 -40 2.34529118547621 0.02843473374 -0.7767360834 1.759905533 --10 -40 2.30915330387808 0.1908997569 -0.7709371132 1.752994589 --5 -40 2.27183138306858 0.3480821990 -0.7570364397 1.736428412 -0 -40 2.23336187799195 0.5000000000 -0.7355773431 1.710854456 -5 -40 2.19373161383901 0.6466952545 -0.7069472427 1.676734431 -10 -40 2.15289496499491 0.7881837061 -0.6714001143 1.634371013 -15 -40 2.11077891414726 0.9244121271 -0.6290730831 1.583927622 -20 -40 2.06729601563339 1.055220735 -0.5800099304 1.525456433 -25 -40 2.02235683182910 1.180309654 -0.5241865860 1.458928762 -30 -40 1.97588375999996 1.299208914 -0.4615408204 1.384270446 -35 -40 1.92782687462508 1.411253090 -0.3920078546 1.301404284 -40 -40 1.87818329962244 1.515564142 -0.3155641424 1.210302215 -45 -40 1.82702470504591 1.611050999 -0.2322824834 1.111050999 - --45 -35 2.47603117459540 -1.069029446 -0.3986462457 1.569029446 --40 -35 2.45087728540395 -0.8882871339 -0.4584906967 1.654496179 --35 -35 2.42217676711826 -0.7051366403 -0.5051366403 1.721113491 --30 -35 2.39067213004497 -0.5220961445 -0.5395931263 1.770322453 --25 -35 2.35695215117042 -0.3410334594 -0.5628957682 1.803602074 --20 -35 2.32146510825998 -0.1632850708 -0.5760307377 1.822360755 --15 -35 2.28454085250355 0.01022262296 -0.5798911926 1.827874056 --10 -35 2.24641215269113 0.1788639194 -0.5752552304 1.821253215 --5 -35 2.20723384839322 0.3422199040 -0.5627786061 1.803434749 -0 -35 2.16709992940069 0.5000000000 -0.5429974547 1.775184337 -5 -35 2.12605937177853 0.6519774862 -0.5163379480 1.737110616 -10 -35 2.08413226085585 0.7979373419 -0.4831313160 1.689686631 -15 -35 2.04131810036409 0.9376334193 -0.4436280752 1.633270156 -20 -35 1.99760875906759 1.070753384 -0.3980178722 1.568132036 -25 -35 1.95299959675881 1.196890688 -0.3464509960 1.494486904 -30 -35 1.90750222299114 1.315524071 -0.2890635417 1.412529126 -35 -35 1.86115990471278 1.426006733 -0.2260067329 1.322474670 -40 -35 1.81405833286586 1.527564235 -0.1574765103 1.224603369 -45 -35 1.76634607038998 1.619311027 -0.08375001848 1.119311027 - --45 -30 2.42705776559722 -1.088882275 -0.2173416093 1.588882275 --40 -30 2.39941856138459 -0.9105195157 -0.2705210107 1.680991700 --35 -30 2.36834728607325 -0.7280174181 -0.3125514911 1.753790628 --30 -30 2.33455767732866 -0.5440459328 -0.3440459328 1.808340601 --25 -30 2.29863866990193 -0.3607334832 -0.3657013660 1.845848912 --20 -30 2.26105976857491 -0.1797346620 -0.3782337486 1.867555635 --15 -30 2.22218592355943 -0.002313182392 -0.3823344845 1.874658318 --10 -30 2.18229373180108 0.1705744985 -0.3786432184 1.868264858 --5 -30 2.14158749515159 0.3382012270 -0.3677333652 1.849368437 -0 -30 2.10021465032579 0.5000000000 -0.3501073252 1.818839241 -5 -30 2.05828066925308 0.6555048708 -0.3261989998 1.777428806 -10 -30 2.01586397986775 0.8043023003 -0.2963819167 1.725784103 -15 -30 1.97302360453770 0.9459913796 -0.2609778657 1.664462488 -20 -30 1.92981330945970 1.080153172 -0.2202719307 1.593957741 -25 -30 1.88629021345838 1.206328127 -0.1745272075 1.514725556 -30 -30 1.84252347956176 1.324001550 -0.1240015501 1.427212550 -35 -30 1.79860903977716 1.432601077 -0.06896841769 1.331892369 -40 -30 1.75467313216226 1.531500188 -0.009733253300 1.229294055 -45 -30 1.71088677364744 1.620038307 0.05334558222 1.120038307 - --45 -25 2.37787284294155 -1.096843706 -0.04462044907 1.596843706 --40 -25 2.34740608642814 -0.9209475784 -0.08965442604 1.693419381 --35 -25 2.31371436023211 -0.7397282113 -0.1256048777 1.770515374 --30 -25 2.27749114767091 -0.5558968918 -0.1528147178 1.828867064 --25 -25 2.23932692930538 -0.3717288162 -0.1717288162 1.869428479 --20 -25 2.19971083050581 -0.1890931007 -0.1828452433 1.893267734 --15 -25 2.15903972992673 -0.009502439730 -0.1866788787 1.901488992 --10 -25 2.11762966589584 0.1658291292 -0.1837356345 1.895177184 --5 -25 2.07572883942432 0.3359269898 -0.1744961697 1.875363088 -0 -25 2.03353070614570 0.5000000000 -0.1594072122 1.843004714 -5 -25 1.99118743456458 0.6573905560 -0.1388792176 1.798982288 -10 -25 1.94882311569866 0.8075324869 -0.1132887730 1.744103402 -15 -25 1.90654003328305 0.9499161293 -0.08298178375 1.679109854 -20 -25 1.86443192480101 1.084061850 -0.04828238034 1.604696743 -25 -25 1.82259165249469 1.209501432 -0.009501432239 1.521530732 -30 -25 1.78111615123883 1.325766111 0.03305467754 1.430268860 -35 -25 1.74011915400732 1.432385969 0.07907164082 1.331585163 -40 -25 1.69972963463738 1.528891730 0.1282203506 1.226185415 -45 -25 1.66010358706742 1.614830834 0.1801458446 1.114830834 - --45 -20 2.32871602270451 -1.094683957 0.1195825065 1.594683957 --40 -20 2.29519068646264 -0.9211157225 0.08357281637 1.693619768 --35 -20 2.25872615273311 -0.7415452590 0.05464059711 1.773110387 --30 -20 2.22000313065399 -0.5586550301 0.03260805461 1.833644300 --25 -20 2.17961662200097 -0.3747805122 0.01720171782 1.875972862 --20 -20 2.13807403003210 -0.1919140612 0.008085938850 1.901018259 --15 -20 2.09579984161597 -0.01172911064 0.004889995790 1.909799041 --10 -20 2.05314323497570 0.1643840480 0.007229011725 1.903372647 --5 -20 2.01038783371980 0.3352768229 0.01471883401 1.882794530 -0 -20 1.96776262985759 0.5000000000 0.02698554331 1.849092023 -5 -20 1.92545347234280 0.6577639936 0.04367042097 1.803250698 -10 -20 1.88361442787118 0.8079040170 0.06443137211 1.746210454 -15 -20 1.84237297041304 0.9498501540 0.08894361103 1.678863631 -20 -20 1.80184140124713 1.083103945 0.1168960551 1.602064922 -25 -20 1.76212376326762 1.207221404 0.1479877487 1.516641196 -30 -20 1.72331934584597 1.321800956 0.1819244014 1.423401009 -35 -20 1.68553341736575 1.426480627 0.2184122526 1.323151461 -40 -20 1.64887386413622 1.520935030 0.2571563277 1.216702990 -45 -20 1.61345996140465 1.604882988 0.2978554802 1.104882988 - --45 -15 2.27968937211360 -1.083806419 0.2756203491 1.583806419 --40 -15 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+607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.22953116694506 1.209870150 1.409870150 0.7098701502 -40 45 1.23569122347807 1.130540616 1.451449044 0.7514490441 -35 45 1.24420713636184 1.052070391 1.488438229 0.7884382288 -30 45 1.25477395456600 0.9742599765 1.521442375 0.8214423753 -25 45 1.26717804632560 0.8968112461 1.550964463 0.8509644634 -20 45 1.28128495422574 0.8193520354 1.577412506 0.8774125060 -15 45 1.29702899490272 0.7414507515 1.601106472 0.9011064721 -10 45 1.31440739838508 0.6626237807 1.622285291 0.9222852907 -5 45 1.33347325903130 0.5823363537 1.641108829 0.9411088294 -0 45 1.35433413216472 0.5000000000 1.657658849 0.9576588488 --5 45 1.37715240353462 0.4149666432 1.671935716 0.9719357157 --10 45 1.40214546899115 0.3265209116 1.683848800 0.9838487999 --15 45 1.42959070275230 0.2338719868 1.693203267 0.9932032667 --20 45 1.45982955923373 0.1361468700 1.699678259 0.9996782587 --25 45 1.49327191979840 0.03238844928 1.702796207 1.002796207 --30 45 1.53040017043007 -0.07843689391 1.701882089 1.001882089 --35 45 1.57176742261756 -0.1974130196 1.696009014 0.9960090138 --40 45 1.61799054052874 -0.3256178666 1.683933059 0.9839330586 --45 45 1.66972153908799 -0.4640141801 1.664014180 0.9640141801 - -45 50 1.20932633780155 1.235416019 1.435416019 0.6170873105 -40 50 1.21327139140222 1.156035500 1.481832664 0.6560355000 -35 50 1.21998399936674 1.076667025 1.523565863 0.6910538116 -30 50 1.22917934909398 0.9971806101 1.561142077 0.7225839994 -25 50 1.24064830645364 0.9173472294 1.595004022 0.7509975444 -20 50 1.25425296465926 0.8368589926 1.625512476 0.7765971771 -15 50 1.26991948089151 0.7553413929 1.652947052 0.7996175196 -10 50 1.28763536709695 0.6723611872 1.677508868 0.8202273303 -5 50 1.30744473334261 0.5874290805 1.699318963 0.8385281731 -0 50 1.32944647938737 0.5000000000 1.718415088 0.8545517247 --5 50 1.35379448135324 0.4094715030 1.734745456 0.8682545306 --10 50 1.38069647964052 0.3151817739 1.748156246 0.8795075193 --15 50 1.41041715138314 0.2164088862 1.758376445 0.8880832849 --20 50 1.44327820540860 0.1123738543 1.764994082 0.8936361418 --25 50 1.47965790423541 0.002251263700 1.767425610 0.8956764354 --30 50 1.51998882536521 -0.1148077350 1.764878234 0.8935389333 --35 50 1.56474672321822 -0.2396308793 1.756302366 0.8863429257 --40 50 1.61443305997977 -0.3729501143 1.740341435 0.8729501143 --45 50 1.66953892598172 -0.5152806835 1.715280684 0.8519216471 - -45 55 1.19291734985908 1.255936544 1.455936544 0.5293124664 -40 55 1.19479726112441 1.176786910 1.506563232 0.5647616548 -35 55 1.19976019242848 1.096932060 1.552507332 0.5969320601 -30 55 1.20756021749728 1.016274326 1.594213363 0.6261349377 -25 55 1.21801202469401 0.9346243797 1.632054990 0.6526319301 -20 55 1.23099114849390 0.8517167017 1.666333696 0.6766341384 -15 55 1.24642994389197 0.7672192042 1.697275647 0.6982999256 -10 55 1.26431689932274 0.6807405525 1.725030610 0.7177341597 -5 55 1.28469377830029 0.5918339975 1.749667394 0.7349850220 -0 55 1.30765387237404 0.5000000000 1.771167343 0.7500394481 --5 55 1.33334293798404 0.4046884059 1.789416506 0.7628176497 --10 55 1.36195575160798 0.3053014753 1.804190203 0.7731623041 --15 55 1.39373758944757 0.2011998537 1.815137327 0.7808275626 --20 55 1.42898046997897 0.09171412536 1.821756221 0.7854621622 --25 55 1.46801881308123 -0.02383453785 1.823366792 0.7865898957 --30 55 1.51122105859923 -0.1460999809 1.819077994 0.7835868470 --35 55 1.55897346694748 -0.2756560428 1.807751631 0.7756560428 --40 55 1.61165429700882 -0.4129134854 1.787967926 0.7618033431 --45 55 1.66959825672768 -0.5580031684 1.758003168 0.7408217939 - -45 60 1.17971141430413 1.272302408 1.472302408 0.4458890030 -40 60 1.17974355942836 1.193522731 1.526508207 0.4771847355 -35 60 1.18309082014810 1.113447252 1.576093470 0.5058128008 -30 60 1.18955595530699 1.031985596 1.621426081 0.5319855958 -25 60 1.19898933631541 0.9489658515 1.662810376 0.5558788296 -20 60 1.21129166680447 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1.16959694488760 1.126690292 1.595006492 0.4173483811 -30 65 1.17485123970813 1.044687857 1.643427042 0.4399272548 -25 65 1.18332958439640 0.9606484584 1.687863807 0.4606484584 -20 65 1.19496420312694 0.8743408345 1.728492990 0.4795941576 -15 65 1.20972753362567 0.7854783639 1.765419759 0.4968133926 -10 65 1.22763304516647 0.6937256596 1.798672811 0.5123195456 -5 65 1.24873615188398 0.5987045588 1.828198270 0.5260874932 -0 65 1.27313020487111 0.5000000000 1.853847819 0.5380480742 --5 65 1.30094763385451 0.3971684594 1.875369887 0.5480839795 --10 65 1.33235283862867 0.2897491165 1.892392013 0.5560215274 --15 65 1.36754126985343 0.1772798556 1.904407976 0.5616246625 --20 65 1.40672851709745 0.05932075151 1.910756284 0.5645849276 --25 65 1.45014319324435 -0.06451409242 1.910604378 0.5645140924 --30 65 1.49800917078452 -0.1945112516 1.902928774 0.5609348996 --35 65 1.55052791029364 -0.3307996984 1.886504933 0.5532763368 --40 65 1.60784999948631 -0.4732745333 1.859903422 0.5408718482 --45 65 1.67004276707994 -0.6215054201 1.821505420 0.5229665661 - -45 70 1.16111480956074 1.295121063 1.495121063 0.2894003996 -40 70 1.15824367208172 1.217150999 1.554667279 0.3110734498 -35 70 1.15896547827139 1.137044067 1.609793215 0.3311376495 -30 70 1.16317941453730 1.054686487 1.660745178 0.3496826476 -25 70 1.17081654679569 0.9699025912 1.707709359 0.3667762114 -20 70 1.18184158072884 0.8824623452 1.750806657 0.3824623452 -15 70 1.19625293392906 0.7920877451 1.790086305 0.3967589678 -10 70 1.21408301809255 0.6984594260 1.825519335 0.4096555359 -5 70 1.23539915454118 0.6012236894 1.856992064 0.4211106727 -0 70 1.26029853055731 0.5000000000 1.884293229 0.4310474841 --5 70 1.28890890430122 0.3943919347 1.907105710 0.4393505482 --10 70 1.32137932597471 0.2840014408 1.924988702 0.4458594247 --15 70 1.35787970943972 0.1684480253 1.937368815 0.4503654174 --20 70 1.39858798162384 0.04739514318 1.943521624 0.4526048568 --25 70 1.44368001767940 -0.07941526623 1.942560048 0.4522548719 --30 70 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1.35042784210041 0.1616330091 1.962802802 0.3383669909 --20 75 1.39233489793200 0.03820689479 1.968766129 0.3399648597 --25 75 1.43874436062143 -0.09086649437 1.967117286 0.3395230536 --30 75 1.48975381906210 -0.2255972215 1.956771254 0.3367508424 --35 75 1.54541542669197 -0.3658035558 1.936495622 0.3313180035 --40 75 1.60571103677210 -0.5110520358 1.904924896 0.3228586528 --45 75 1.67052903166109 -0.6605943493 1.860594349 0.3109803186 - -45 80 1.15089155376776 1.307550500 1.507550500 0.1423929414 -40 80 1.14626475802599 1.230173857 1.570187317 0.1534375023 -35 80 1.14535062729370 1.150198752 1.628580052 0.1637337169 -30 80 1.14811584575811 1.067479690 1.682903656 0.1733124340 -25 80 1.15455312431547 0.9818216114 1.733269780 0.1821933406 -20 80 1.16467984574080 0.8929859320 1.779719974 0.1903837631 -15 80 1.17853929331430 0.8006981933 1.822220935 0.1978778292 -10 80 1.19619811257057 0.7046549869 1.860656106 0.2046549869 -5 80 1.21774679006950 0.6045331901 1.894819830 0.2106789732 -0 80 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180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.67085516827800 -0.6814730199 1.881473020 1.446887152e-16 --90 40 1.74106757382112 -0.8337351400 1.819136664 1.633354470e-16 --90 35 1.81485810022506 -0.9866447229 1.740959842 1.820614701e-16 --90 30 1.89169712170253 -1.138257764 1.645848561 2.006287126e-16 --90 25 1.97094620502641 -1.286283893 1.532957859 2.187566852e-16 --90 20 2.05186235420584 -1.428119913 1.401778256 2.361265880e-16 --90 15 2.13361405680680 -1.560912921 1.252219953 2.523890412e-16 --90 10 2.21530209332896 -1.681646677 1.084683171 2.671746620e-16 --90 5 2.29597621729123 -1.787239335 0.9001075125 2.801060330e-16 --90 -2.84217e-14 2.37465969582669 -1.874659696 0.7000000000 2.908119396e-16 --90 -5 2.45037170377551 -1.941047300 0.4864360341 2.989420762e-16 --90 -10 2.52213914917162 -1.983822188 0.2620351329 3.041804893e-16 --90 -15 2.58903531454890 -2.000816075 0.02990835215 3.062616402e-16 --90 -20 2.65018579042034 -1.990360031 -0.2064169239 3.049811441e-16 --90 -25 2.70478476305719 -1.951367493 -0.4430914349 3.002059354e-16 --90 -30 2.75210901644219 -1.883396322 -0.6760545082 2.918818677e-16 --90 -35 2.79152149901101 -1.786680543 -0.9011509534 2.800376007e-16 --90 -40 2.82250127679075 -1.662161419 -1.114268849 2.647884061e-16 --90 -45 2.84463791245693 -1.511462758 -1.311462758 2.463331428e-16 - --85 45 1.67081769071706 -0.6791922113 1.879192211 0.1031659506 --85 40 1.74084644381971 -0.8305808026 1.816489861 0.1164107361 --85 35 1.81438359135724 -0.9824538956 1.738025393 0.1296979101 --85 30 1.89089906735673 -1.132886381 1.642747391 0.1428590471 --85 25 1.96976013558071 -1.279623321 1.529851983 0.1556968659 --85 20 2.05023473819032 -1.420112470 1.398863786 0.1679880738 --85 15 2.13150902152675 -1.551566984 1.249715717 0.1794888536 --85 10 2.21270630458610 -1.671046882 1.082814142 0.1899419902 --85 5 2.29290070416280 -1.775549199 0.8990847582 0.1990847582 --85 -2.84217e-14 2.37114187492153 -1.862118964 0.7000000000 0.2066586313 --85 -5 2.44647596970548 -1.927962285 0.4875808246 0.2124191754 --85 -10 2.51795379836564 -1.970547371 0.2643758414 0.2161448876 --85 -15 2.58466618617512 -1.987728534 0.03341514836 0.2176480446 --85 -20 2.64575160942995 -1.977833666 -0.2018577000 0.2167823559 --85 -25 2.70040969096087 -1.939744807 -0.4376716874 0.2134500125 --85 -30 2.74791423296783 -1.872962049 -0.6700302779 0.2076072783 --85 -35 2.78761979720517 -1.777642858 -0.8948226983 0.1992679296 --85 -40 2.81898600976440 -1.654634994 -1.107953429 0.1885061360 --85 -45 2.84157940929767 -1.505466141 -1.305466141 0.1754555525 - --80 45 1.67070588298600 -0.6722906177 1.872290618 0.2067064651 --80 40 1.74018235082207 -0.8210600786 1.808501025 0.2329385350 --80 35 1.81296032214439 -0.9698370520 1.729190984 0.2591719295 --80 30 1.88850980132638 -1.116756005 1.633434515 0.2850777049 --80 25 1.96621553198870 -1.259668782 1.520547029 0.3102770834 --80 20 2.04537871066870 -1.396174521 1.390151085 0.3343467283 --80 15 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25 1.94201283612030 -1.121225581 1.455989904 0.7559899041 +-65 20 2.01249811551173 -1.232135740 1.330445851 0.8077081605 +-65 15 2.08307982239291 -1.334590302 1.191576990 0.8554835076 +-65 10 2.15332397117659 -1.427121879 1.039803582 0.8986316903 +-65 5 2.22280244616799 -1.508239988 0.8756982326 0.9364576857 +-65 -2.84217e-14 2.29108574785056 -1.576428854 0.7000000000 0.9682546763 +-65 -5 2.35772618161317 -1.630139818 0.5136369142 0.9933005101 +-65 -10 2.42225174253351 -1.667799361 0.3177584839 1.010861443 +-65 -15 2.48415753134681 -1.687823658 0.1137744177 1.020198926 +-65 -20 2.54289195280561 -1.688640079 -0.09659984220 1.020579630 +-65 -25 2.59784742896271 -1.668727533 -0.3112942573 1.011294257 +-65 -30 2.64835308952823 -1.626675989 -0.5278369550 0.9916853003 +-65 -35 2.69367328163811 -1.561269982 -0.7433167795 0.9611859780 +-65 -40 2.73301698754875 -1.471599189 -0.9543681524 0.9193718007 +-65 -45 2.76554436608090 -1.357181778 -1.157181778 0.8660180858 + +-60 45 1.66982517172564 -0.5931571781 1.793157178 0.6311345910 +-60 40 1.73328166076694 -0.7143075547 1.718925021 0.7010807936 +-60 35 1.79804093127081 -0.8314716774 1.632306505 0.7687255314 +-60 30 1.86367821456358 -0.9435989375 1.533462235 0.8334622352 +-60 25 1.92981075288326 -1.049673345 1.422624549 0.8947043232 +-60 20 1.99610147636156 -1.148709429 1.300081157 0.9518828327 +-60 15 2.06224515596854 -1.239730683 1.166159432 1.004433978 +-60 10 2.12796580595839 -1.321754641 1.021224495 1.051790532 +-60 5 2.19300245524579 -1.393767840 0.8656832173 1.093367372 +-60 -2.84217e-14 2.25709637933208 -1.454702803 0.7000000000 1.128548190 +-60 -5 2.31997630358070 -1.503416139 0.5247237995 1.156672847 +-60 -10 2.38133666321906 -1.538665802 0.3405282144 1.177024250 +-60 -15 2.44082724228471 -1.559106326 0.1482641228 1.188825592 +-60 -20 2.49803717165179 -1.563290613 -0.05097636784 1.191241391 +-60 -25 2.55247648530897 -1.549685322 -0.2557839624 1.183386372 +-60 -30 2.60355931122179 -1.516708371 -0.4643471207 1.164347121 +-60 -35 2.65059105827357 -1.462795652 -0.6743643117 1.133220598 +-60 -40 2.69276167945814 -1.386502883 -0.8829638735 1.089172947 +-60 -45 2.72914594177784 -1.286645409 -1.086645409 1.031520208 + +-55 45 1.66962577003526 -0.5580206032 1.758020603 0.7408340019 +-55 40 1.73058720014375 -0.6682551092 1.680282431 0.8180210340 +-55 35 1.79215905382987 -0.7734450957 1.591675855 0.8916758555 +-55 30 1.85399433640129 -0.8729058700 1.492647574 0.9613190394 +-55 25 1.91581850266941 -0.9660349483 1.383623323 1.026528722 +-55 20 1.97742150878983 -1.052284952 1.264985517 1.086921624 +-55 15 2.03864777180534 -1.131133611 1.137060934 1.142132050 +-55 10 2.09937335578233 -1.202043176 1.000116134 1.191783462 +-55 5 2.15949123639444 -1.264426338 0.8543673022 1.235464623 +-55 -2.84217e-14 2.21890975654315 -1.317624463 0.7000000000 1.272714351 +-55 -5 2.27751877683825 -1.360861506 0.5371957138 1.302989254 +-55 -10 2.33517600827142 -1.393217506 0.3661746733 1.325645169 +-55 -15 2.39169335439328 -1.413607378 0.1872504484 1.339922311 +-55 -20 2.44681804907170 -1.420763388 0.0008992997113 1.344933003 +-55 -25 2.50020649725309 -1.413224086 -0.1921510429 1.339653927 +-55 -30 2.55139808635757 -1.389342023 -0.3908121254 1.322931526 +-55 -35 2.59979217985917 -1.347320747 -0.5935079122 1.293507912 +-55 -40 2.64462544118367 -1.285288360 -0.7980348040 1.250072367 +-55 -45 2.68494969192203 -1.201418452 -1.001418452 1.191346026 + +-50 45 1.66955954364319 -0.5152932215 1.715293222 0.8519321677 +-50 40 1.72760844025541 -0.6132717040 1.634145876 0.9341458762 +-50 35 1.78555318317809 -0.7053606018 1.544002580 1.011417636 +-50 30 1.84314984129316 -0.7912793272 1.445520467 1.083512007 +-50 25 1.90025267140730 -0.8708427877 1.339234490 1.150273678 +-50 20 1.95678883412911 -0.9439132532 1.225541445 1.211587078 +-50 15 2.01273582855829 -1.010356131 1.104698706 1.267339272 +-50 10 2.06811477398170 -1.070010100 0.9768351405 1.317394895 +-50 5 2.12296134354681 -1.122642605 0.8419628329 1.361558811 +-50 -2.84217e-14 2.17732028997896 -1.167924109 0.7000000000 1.399554505 +-50 -5 2.23122459395196 -1.205391433 0.5507975828 1.430993322 +-50 -10 2.28468192373191 -1.234417132 0.3941754639 1.455348776 +-50 -15 2.33766222726330 -1.254180766 0.2299686805 1.471932433 +-50 -20 2.39007403803360 -1.263634133 0.05808967132 1.479864751 +-50 -25 2.44173777446325 -1.261470287 -0.1213870842 1.478049068 +-50 -30 2.49235813645232 -1.246103581 -0.3081133723 1.465154871 +-50 -35 2.54148868347219 -1.215664567 -0.5013212629 1.439613505 +-50 -40 2.58848925858501 -1.168023714 -0.6996380836 1.399638084 +-50 -45 2.63248279407720 -1.100866496 -0.9008664961 1.343286486 + +-45 45 1.66973734705635 -0.4640233068 1.664023307 0.9640233068 +-45 40 1.72444319723362 -0.5486690910 1.579937848 1.048669091 +-45 35 1.77833956556331 -0.6269111519 1.489071683 1.126911152 +-45 30 1.83131987279805 -0.6988802770 1.392173851 1.198880277 +-45 25 1.88337144666779 -0.7647647876 1.289769506 1.264764788 +-45 20 1.93455592917723 -0.8247666417 1.182175625 1.324766642 +-45 15 1.98498022464491 -0.8790582435 1.069517543 1.379058243 +-45 10 2.03478152257365 -0.9277529709 0.9517513706 1.427752971 +-45 5 2.08410964514051 -0.9708761313 0.8286849869 1.470876131 +-45 -2.84217e-14 2.13312222734285 -1.008345192 0.7000000000 1.508345192 +-45 -5 2.18197086603957 -1.039942427 0.5652724951 1.539942427 +-45 -10 2.23078822201497 -1.065285745 0.4239978906 1.565285745 +-45 -15 2.27968190981760 -1.083801235 0.2756217382 1.583801235 +-45 -20 2.32871221075424 -1.094681347 0.1195834566 1.594681347 +-45 -25 2.37787113747258 -1.096842561 -0.04461991501 1.596842561 +-45 -30 2.42705522579161 -1.088880613 -0.2173406494 1.588880613 +-45 -35 2.47602513893345 -1.069025621 -0.3986435676 1.569025621 +-45 -40 2.52434990334693 -1.035108679 -0.5881091264 1.535108679 +-45 -45 2.57133629344383 -0.9845617012 -0.7845617012 1.484561701 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.84463792770823 -1.511462769 -1.311462769 2.463331441e-16 --40 -90 2.85763273568995 -1.336850916 -1.489073678 2.680842072e-16 --35 -90 2.86131023408780 -1.141180127 -1.643848128 2.870386107e-16 --30 -90 2.85561958439853 -0.9278097922 -1.773039104 3.028599422e-16 --25 -90 2.84064165371503 -0.7005070379 -1.874495651 3.152847858e-16 --20 -90 2.81658353559910 -0.4633283045 -1.946722764 3.241300561e-16 --15 -90 2.78375757371029 -0.2204894770 -1.988903335 3.292956862e-16 --10 -90 2.74260693726647 0.02375130329 -2.000940575 3.307698230e-16 --5 -90 2.69367976850193 0.2652303391 -1.983429504 3.286253352e-16 --2.84217e-14 -90 2.63762208763182 0.5000000000 -1.937622088 3.230155447e-16 -5 -90 2.57517201674094 0.7244410298 -1.865372710 3.141675478e-16 -10 -90 2.50715067866560 0.9353621465 -1.769061426 3.023728173e-16 -15 -90 2.43445182389044 1.130082496 -1.651499890 2.879756813e-16 -20 -90 2.35801746589628 1.306489472 -1.515811612 2.713586599e-16 -25 -90 2.27881943477218 1.463070708 -1.365311799 2.529277484e-16 -30 -90 2.19783830288695 1.598919151 -1.203383804 2.330972883e-16 -35 -90 2.11604775414345 1.713715130 -1.033364844 2.122759707e-16 -40 -90 2.03439189928876 1.807681906 -0.8584346096 1.908531956e-16 -45 -90 1.95375853365680 1.881515908 -0.6815159079 1.691869035e-16 - --45 -85 2.84157943275204 -1.505466158 -1.305466158 0.1754555539 --40 -85 2.85400337964352 -1.330411779 -1.481399813 0.1908477543 --35 -85 2.85714896743015 -1.134600970 -1.634452118 0.2042380958 --30 -85 2.85099526308782 -0.9214234876 -1.761977700 0.2153951386 --25 -85 2.83564938230123 -0.6946476227 -1.861930094 0.2241398400 --20 -85 2.81133652713807 -0.4583006527 -1.932909404 0.2303497250 --15 -85 2.77838560540818 -0.2165450481 -1.974182525 0.2339606552 --10 -85 2.73724511930321 0.02643686208 -1.985710015 0.2349691798 --5 -85 2.68846206086482 0.2665699965 -1.968117149 0.2334300035 --2.84217e-14 -85 2.63267319074513 0.5000000000 -1.922655074 0.2294525874 -5 -85 2.57059983909851 0.7231964282 -1.851146848 0.2231964282 -10 -85 2.50304231195500 0.9330443639 -1.755916628 0.2148648635 -15 -85 2.43086619028609 1.126919866 -1.639696792 0.2046969454 -20 -85 2.35498557800369 1.302744245 -1.505521685 0.1929581446 -25 -85 2.27634393452689 1.459014498 -1.356613229 0.1799303428 -30 -85 2.19589524588572 1.594809633 -1.196265910 0.1659017701 -35 -85 2.11459136787463 1.709776998 -1.027740609 0.1511577168 -40 -85 2.03335964707252 1.804092867 -0.8541573588 0.1359711502 -45 -85 1.95307716716621 1.878398970 -0.6783989698 0.1205942837 - --45 -80 2.83235122675238 -1.487386770 -1.287386770 0.3504299087 --40 -80 2.84308009354750 -1.311049972 -1.458325310 0.3805709853 --35 -80 2.84465565625038 -1.114869293 -1.606272362 0.4066580422 --30 -80 2.83714352004142 -0.9023160920 -1.728882720 0.4282775565 --25 -80 2.82072465659561 -0.6771533684 -1.824413545 0.4451222185 --20 -80 2.79567786480087 -0.4433168053 -1.891741622 0.4569939750 --15 -80 2.76237815930984 -0.2048064722 -1.930373564 0.4638058286 --10 -80 2.72128567403196 0.03442103106 -1.940429542 0.4655789689 --5 -80 2.67294226510463 0.2705506726 -1.922617813 0.4624382806 --2.84217e-14 -80 2.61795640914741 0.5000000000 -1.878183769 0.4546033597 -5 -80 2.55700181934484 0.7194968277 -1.808860220 0.4423797477 -10 -80 2.49081522881210 0.9261482714 -1.716806944 0.4261482714 -15 -80 2.42018355666578 1.117497293 -1.604531270 0.4063510407 -20 -80 2.34593919167711 1.291566114 -1.474810025 0.3834776852 -25 -80 2.26894403688831 1.446882607 -1.330596303 0.3580489152 -30 -80 2.19007466615924 1.582489104 -1.174926127 0.3306000630 -35 -80 2.11021831893060 1.697939989 -1.010835607 0.3016664771 -40 -80 2.03025203637255 1.793276226 -0.8412665882 0.2717668840 -45 -80 1.95102033365631 1.868979936 -0.6689799356 0.2413880987 - --45 -75 2.81679739230362 -1.456960385 -1.256960385 0.5243659547 --40 -75 2.82476101700398 -1.278639065 -1.419699495 0.5679717680 --35 -75 2.82380681486890 -1.082009561 -1.559343802 0.6053893471 --30 -75 2.81413389584459 -0.8706477605 -1.674031560 0.6361198394 --25 -75 2.79603161907927 -0.6482800184 -1.762494446 0.6598233982 --20 -75 2.76986398429050 -0.4186755947 -1.824040452 0.6763146008 --15 -75 2.73606023925717 -0.1855549339 -1.858525845 0.6855549339 --10 -75 2.69510186879573 0.04748992229 -1.866312177 0.6876412753 --5 -75 2.64751362098610 0.2770597357 -1.848218882 0.6827931915 --2.84217e-14 -75 2.59385629609850 0.5000000000 -1.805472786 0.6713394097 -5 -75 2.53472594968206 0.7134427067 -1.739661301 0.6537052754 -10 -75 2.47075775005240 0.9148424942 -1.652688696 0.6304010360 -15 -75 2.40262371782548 1.102008143 -1.546724977 0.6020081431 -20 -75 2.33102691682894 1.273127327 -1.424149874 0.5691642433 -25 -75 2.25670139607311 1.426786773 -1.287500648 0.5325491936 -30 -75 2.18040553391059 1.561984992 -1.139411963 0.4928689499 -35 -75 2.10292137639787 1.678140695 -0.9825592856 0.4508404018 -40 -75 2.02504229462117 1.775088162 -0.8195908979 0.4071731539 -45 -75 1.94755661072156 1.853058315 -0.6530583153 0.3625508829 - --45 -70 2.79466275808358 -1.413760125 -1.213760125 0.6965517210 --40 -70 2.79888901899268 -1.232991169 -1.365298451 0.7517071612 --35 -70 2.79457682235818 -1.036084222 -1.493755620 0.7984617468 --30 -70 2.78209059741596 -0.8266982215 -1.597908726 0.8363703773 --25 -70 2.76185085628461 -0.6084579198 -1.677095680 0.8651920715 --20 -70 2.73431841378876 -0.3848680315 -1.731154936 0.8848680315 --15 -70 2.69997450530269 -0.1592497646 -1.760353617 0.8954954822 --10 -70 2.65931011194372 0.06529730621 -1.765321484 0.8973036381 --5 -70 2.61281859181835 0.2859160445 -1.746990809 0.8906318179 --2.84217e-14 -70 2.56099292325744 0.5000000000 -1.706546152 0.8759111667 -5 -70 2.50432937020777 0.7051947805 -1.645387074 0.8536510827 -10 -70 2.44333864147294 0.8993990338 -1.565104479 0.8244306079 -15 -70 2.37854409701572 1.080766460 -1.467449937 0.7888872613 -20 -70 2.31049270734133 1.247711431 -1.354320273 0.7477114309 -25 -70 2.23975717278948 1.398917684 -1.227735195 0.7016382306 -30 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0.9872025390 -1.118264629 1.273162600 +20 -55 2.21894912947753 1.133994379 -1.041885241 1.219681177 +25 -55 2.16302568187802 1.271834494 -0.9552044148 1.158986609 +30 -55 2.10484261513298 1.399894007 -0.8586621410 1.091386981 +35 -55 2.04452339674704 1.517237920 -0.7527663083 1.017237920 +40 -55 1.98226313415835 1.622843001 -0.6381521798 0.9369842436 +45 -55 1.91835026016335 1.715634147 -0.5156341474 0.8511961937 + +-45 -50 2.63248250316866 -1.100866319 -0.9008663192 1.343286338 +-40 -50 2.61594925013529 -0.9144861459 -0.9857189461 1.414486146 +-35 -50 2.59453314671537 -0.7263945367 -1.051472913 1.469660275 +-30 -50 2.56910553187331 -0.5391562929 -1.099871496 1.510271509 +-25 -50 2.54034801167654 -0.3545590227 -1.132607738 1.537740477 +-20 -50 2.50877588504452 -0.1737904882 -1.151224152 1.553361503 +-15 -50 2.47476446884832 0.002401674939 -1.157062231 1.558260233 +-10 -50 2.43857341888171 0.1735757495 -1.151243918 1.553378088 +-5 -50 2.40036444231024 0.3394871686 -1.134670058 1.539470969 +-2.84217e-14 -50 2.36022033991072 0.5000000000 -1.108033676 1.517120391 +5 -50 2.31816458159151 0.6550161109 -1.071842256 1.486752183 +10 -50 2.27417622260314 0.8044182567 -1.026441725 1.448656615 +15 -50 2.22819729308392 0.9480213188 -0.9720383245 1.403006741 +20 -50 2.18014610492083 1.085529268 -0.9087284432 1.349883443 +25 -50 2.12994333484502 1.216501159 -0.8365416940 1.289311569 +30 -50 2.07751566494732 1.340317165 -0.7554720240 1.221286039 +35 -50 2.02282093597766 1.456155271 -0.6655312447 1.145816764 +40 -50 1.96588111474583 1.562983772 -0.5668147292 1.062983772 +45 -50 1.90680239030323 1.659565437 -0.4595654369 0.9729909304 + +-45 -45 2.57133633853495 -0.9845617272 -0.7845617272 1.484561727 +-40 -45 2.54971631880474 -0.8010529387 -0.8505345138 1.550534514 +-35 -45 2.52470428730657 -0.6202431194 -0.8998729780 1.599872978 +-30 -45 2.49709923028998 -0.4438147946 -0.9347351772 1.634735177 +-25 -45 2.46746918782962 -0.2726771514 -0.9570114985 1.657011499 +-20 -45 2.43620017654726 -0.1072072277 -0.9682881470 1.668288147 +-15 -45 2.40353574038338 0.05256550697 -0.9698482610 1.669848261 +-10 -45 2.36960957790910 0.2068223530 -0.9626930593 1.662693059 +-5 -45 2.33447008903875 0.3558563108 -0.9475699065 1.647569906 +-2.84217e-14 -45 2.29809442719351 0.5000000000 -0.9249981533 1.624998153 +5 -45 2.26040861100425 0.6395707051 -0.8953004587 1.595300459 +10 -45 2.22129987438836 0.7748281728 -0.8586280197 1.558628020 +15 -45 2.18061719840221 0.9059366933 -0.8149763640 1.514976364 +20 -45 2.13818469515177 1.032928785 -0.7642098040 1.464209804 +25 -45 2.09381331907194 1.155668455 -0.7060855400 1.406085540 +30 -45 2.04730887489347 1.273810020 -0.6402782700 1.340278270 +35 -45 1.99849397654645 1.386756971 -0.5664202006 1.266420201 +40 -45 1.94722131875484 1.493615643 -0.4841450119 1.184145012 +45 -45 1.89341859607889 1.593165736 -0.3931657361 1.093165736 diff --git a/test/Kerr-selection-areal-radius.par b/test/Kerr-selection-areal-radius.par index d445c95..d300383 100644 --- a/test/Kerr-selection-areal-radius.par +++ b/test/Kerr-selection-areal-radius.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-selection-areal-radius/BH_diagnostics.ah1.gp b/test/Kerr-selection-areal-radius/BH_diagnostics.ah1.gp index d5789ea..92775d3 100644 --- a/test/Kerr-selection-areal-radius/BH_diagnostics.ah1.gp +++ b/test/Kerr-selection-areal-radius/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000022 0.000000 0.000000 1.141173826 2.861533505 2.095389292 1.334782264 4.398332892e-06 0.000000000 1.334787709 -0.000000000 1.215969086 -2.001040810 2.001313420 -2.001164119 2.001131244 -1.909337083 1.909337083 13.15337432 11.54384063 11.91504699 0.8776334007 0.9058547794 50.26548253 1.000000001 2.000000001 0.03198543515 -1.381662801 -0.04419308591 0.7068241179 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000056 0.000022 0.000000 1.141191028 2.861466232 2.095378157 1.334766196 1.844408104e-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 0.03200548737 -1.381680450 -0.04422135617 0.7068429684 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.6822478832 0.7179372223 35.46850323 diff --git a/test/Kerr-selection-areal-radius/h.t0.ah1.gp b/test/Kerr-selection-areal-radius/h.t0.ah1.gp index bc9bc83..ddb225c 100644 --- a/test/Kerr-selection-areal-radius/h.t0.ah1.gp +++ b/test/Kerr-selection-areal-radius/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.57116286869204 -0.9844615744 -0.7844615744 1.484461574 --40 -45 2.54949511353099 -0.8009400635 -0.8503999944 1.550399994 --35 -45 2.52444193562256 -0.6201267107 -0.8997067291 1.599706729 --30 -45 2.49680221949140 -0.4437025351 -0.9345407380 1.634540738 --25 -45 2.46714655618420 -0.2725761207 -0.9567948375 1.656794838 --20 -45 2.43586198535986 -0.1071229357 -0.9680565567 1.668056557 --15 -45 2.40319156254753 0.05262957801 -0.9696091447 1.669609145 --10 -45 2.36926851264582 0.2068645510 -0.9624537427 1.662453743 --5 -45 2.33413936849843 0.3558767314 -0.9473364980 1.647336498 -0 -45 2.29778215780688 0.5000000000 -0.9247773455 1.624777345 -5 -45 2.26012118822372 0.6395529579 -0.8950976079 1.595097608 -10 -45 2.22104123932674 0.7747961734 -0.8584465422 1.558446542 -15 -45 2.18039129137131 0.9058946392 -0.8148194159 1.514819416 -20 -45 2.13799531999906 1.032881585 -0.7640801216 1.464080122 -25 -45 2.09366323235575 1.155621456 -0.7059847504 1.405984750 -30 -45 2.04720082884702 1.273769182 -0.6402075373 1.340207537 -35 -45 1.99842566618763 1.386726661 -0.5663769131 1.266376913 -40 -45 1.94719212276281 1.493600745 -0.4841272573 1.184127257 -45 -45 1.89342433704146 1.593169051 -0.3931690507 1.093169051 - --45 -40 2.52413711599631 -1.034979279 -0.5880005466 1.534979279 --40 -40 2.50096778597581 -0.8523138052 -0.6523138052 1.611624836 --35 -40 2.47426267035058 -0.6695445961 -0.7015336678 1.670282784 --30 -40 2.44479767335113 -0.4888760331 -0.7371960298 1.712783532 --25 -40 2.41315753388932 -0.3117728494 -0.7607486851 1.740852493 --20 -40 2.37976451386884 -0.1391414646 -0.7734813915 1.756026742 --15 -40 2.34490862431635 0.02851165492 -0.7764952000 1.759618459 --10 -40 2.30877453674843 0.1909504582 -0.7706958375 1.752707048 --5 -40 2.27146350811592 0.3481067988 -0.7568005035 1.736147234 -0 -40 2.23301136031101 0.5000000000 -0.7353520347 1.710585944 -5 -40 2.19340431728155 0.6466733681 -0.7067373314 1.676484269 -10 -40 2.15259617628174 0.7881437106 -0.6712097850 1.634144188 -15 -40 2.11051333580818 0.9243587275 -0.6289058591 1.583728332 -20 -40 2.06706779192138 1.055159441 -0.5798686209 1.525288027 -25 -40 2.02216946984447 1.180246627 -0.5240731708 1.458793599 -30 -40 1.97574015379528 1.299150828 -0.4614564002 1.384169838 -35 -40 1.92772908426071 1.411206866 -0.3919524618 1.301338269 -40 -40 1.87813251268297 1.515536681 -0.3155366811 1.210269488 -45 -40 1.82702109763239 1.611048805 -0.2322806426 1.111048805 - --45 -35 2.47578439822417 -1.068873067 -0.3985367479 1.568873067 --40 -35 2.45057338699232 -0.8881149922 -0.4583470488 1.654291029 --35 -35 2.42182542220178 -0.7049618311 -0.5049618311 1.720863837 --30 -35 2.39028382029448 -0.5219301285 -0.5393917829 1.770034904 --25 -35 2.35653758544441 -0.3408855295 -0.5626736367 1.803284837 --20 -35 2.32103481286614 -0.1631621275 -0.5757942189 1.822022971 --15 -35 2.28410488676438 0.01031608863 -0.5796469471 1.827525237 --10 -35 2.24597992898824 0.1789257080 -0.5750098634 1.820902795 --5 -35 2.20681403003127 0.3422499140 -0.5625384242 1.803091734 -0 -35 2.16670038104522 0.5000000000 -0.5427682832 1.774857046 -5 -35 2.12568713858809 0.6519508778 -0.5161249900 1.736806480 -10 -35 2.08379353427972 0.7978889192 -0.4829390259 1.689412012 -15 -35 2.04101822340987 0.9375691294 -0.4434600721 1.633030223 -20 -35 1.99735220922215 1.070680083 -0.3978768554 1.567930643 -25 -35 1.95278989213348 1.196815859 -0.3463386326 1.494326433 -30 -35 1.90734196526197 1.315455555 -0.2889804461 1.412410453 -35 -35 1.86105062579245 1.425952362 -0.2259523619 1.322397020 -40 -35 1.81400042025103 1.527531431 -0.1574491360 1.224564274 -45 -35 1.76633875416889 1.619306390 -0.08374677219 1.119306390 - --45 -30 2.42679685484634 -1.088711469 -0.2172429943 1.588711469 --40 -30 2.39909477017404 -0.9103291722 -0.2703900430 1.680764858 --35 -30 2.36797041798601 -0.7278220073 -0.3123903668 1.753511552 --30 -30 2.33413878285602 -0.5438585975 -0.3438585975 1.808016127 --25 -30 2.29818943734022 -0.3605652665 -0.3654930915 1.845488170 --20 -30 2.26059198283673 -0.1795940331 -0.3780106752 1.867169260 --15 -30 2.22171105206845 -0.002205840244 -0.3821031944 1.874257712 --10 -30 2.18182262321997 0.1706456141 -0.3784103634 1.867861541 --5 -30 2.14113017439789 0.3382357780 -0.3675053583 1.848973518 -0 -30 2.09978018395287 0.5000000000 -0.3498900920 1.818462982 -5 -30 2.05787708078039 0.6554743793 -0.3259977823 1.777080287 -10 -30 2.01549817117189 0.8042470801 -0.2962011082 1.725470934 -15 -30 1.97270132866916 0.9459185309 -0.2608208985 1.664190613 -20 -30 1.92953918125427 1.080070762 -0.2201412070 1.593731321 -25 -30 1.88606759741788 1.206244767 -0.1744239976 1.514546791 -30 -30 1.84235452447295 1.323925991 -0.1239259911 1.427081678 -35 -30 1.79849467651395 1.432541778 -0.06891952338 1.331807681 -40 -30 1.75461297104023 1.531464822 -0.009708919225 1.229251907 -45 -30 1.71087919258208 1.620033344 0.05334844759 1.120033344 - --45 -25 2.37760538600528 -1.096664097 -0.04453669611 1.596664097 --40 -25 2.34707193558691 -0.9207453080 -0.08954201954 1.693178325 --35 -25 2.31332325291763 -0.7395186492 -0.1254653185 1.770216088 --30 -25 2.27705445078530 -0.5556944292 -0.1526511951 1.828516389 --25 -25 2.23885699038046 -0.3715458776 -0.1715458776 1.869036166 --20 -25 2.19922034968014 -0.1889394501 -0.1826483908 1.892845582 --15 -25 2.15854123723431 -0.009384802597 -0.1864741567 1.901049964 --10 -25 2.11713510507629 0.1659071730 -0.1835292429 1.894734576 --5 -25 2.07524927348788 0.3359648964 -0.1742941305 1.874929813 -0 -25 2.03307609570041 0.5000000000 -0.1592150856 1.842592697 -5 -25 1.99076649178371 0.6573572832 -0.1387018761 1.798601977 -10 -25 1.94844318662283 0.8074725325 -0.1131302199 1.743763384 -15 -25 1.90620706375502 0.9498375533 -0.08284503914 1.678816604 -20 -25 1.86415047543654 1.083973681 -0.04816942175 1.604454503 -25 -25 1.82236480268227 1.209413124 -0.009413123776 1.521341353 -30 -25 1.78094557190972 1.325687027 0.03311855158 1.430131881 -35 -25 1.74000517870499 1.432324899 0.07911231074 1.331497946 -40 -25 1.69967121944046 1.528856369 0.1282400012 1.226143274 -45 -25 1.66009844999203 1.614827384 0.1801474532 1.114827384 - --45 -20 2.32844870905581 -1.094500903 0.1196491327 1.594500903 --40 -20 2.29485482554700 -0.9209077671 0.08366301968 1.693371936 --35 -20 2.25833132245237 -0.7413282341 0.05475340734 1.772800443 --30 -20 2.21956081752963 -0.5584441039 0.03274102569 1.833278965 --25 -20 2.17913953524474 -0.3745890353 0.01735117255 1.875562239 --20 -20 2.13757541957699 -0.1917527030 0.008247296960 1.900574931 --15 -20 2.09529289269819 -0.01160532948 0.005058134587 1.909337083 --10 -20 2.05264057676120 0.1644662147 0.007398618513 1.902906656 --5 -20 2.00990115750409 0.3353166992 0.01488472740 1.882338741 -0 -20 1.96730241088778 0.5000000000 0.02714294746 1.848659558 -5 -20 1.92502877228335 0.6577291953 0.04381518854 1.802852952 -10 -20 1.88323275283689 0.8078416267 0.06456015678 1.745856621 -15 -20 1.84204023650831 0.9497689108 0.08905396826 1.678560427 -20 -20 1.80156196857394 1.083013516 0.1169864838 1.601816471 -25 -20 1.76190036582083 1.207131745 0.1480577313 1.516448920 -30 -20 1.72315321129281 1.321721731 0.1819743459 1.423263787 -35 -20 1.68542438352532 1.426420695 0.2184434056 1.323065869 -40 -20 1.64882040447426 1.520901929 0.2571706855 1.216663542 -45 -20 1.61345936823728 1.604882581 0.2978556280 1.104882581 - --45 -15 2.27942803977023 -1.083624859 0.2756689979 1.583624859 --40 -15 2.24265162883140 -0.9121080586 0.2490723629 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1.23580259224394 1.130597444 1.451516770 0.7515167697 +45 45 1.22965786428190 1.209943299 1.409943299 0.7099432990 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.89342457959993 1.593169191 -0.3931691907 1.093169191 -45 -40 1.82702129242391 1.611048924 -0.2322807420 1.111048924 -45 -35 1.76633889078199 1.619306477 -0.08374683280 1.119306477 -45 -30 1.71087931787368 1.620033426 0.05334840024 1.120033426 -45 -25 1.66009850146751 1.614827419 0.1801474371 1.114827419 -45 -20 1.61345942576441 1.604882621 0.2978556137 1.104882621 -45 -15 1.57045958609623 1.591071443 0.4076482879 1.091071443 -45 -10 1.53064849330181 1.574016011 0.5106219996 1.074016011 -45 -5 1.49362914331504 1.554140055 0.6077746954 1.054140055 -45 0 1.45906344259681 1.531713654 0.7000000000 1.031713654 -45 5 1.42666681846640 1.506880888 0.7880906632 1.006880888 -45 10 1.39621030517489 1.479684251 0.8727447660 0.9796842507 -45 15 1.36751670828746 1.450077571 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1.33706550148251 1.811892085 0.8147756852 0.2313219704 +80 10 1.29946859777785 1.760858170 0.9223233142 0.2223233142 +80 15 1.26617463586609 1.705668485 1.023057897 0.2125918836 +80 20 1.23707724674026 1.646836204 1.117414242 0.2022181652 +80 25 1.21206796456645 1.584742809 1.205823879 0.1912694243 +80 30 1.19104652384172 1.519656672 1.288699054 0.1797929824 +80 35 1.17392684003784 1.451747893 1.366421049 0.1678188323 +80 40 1.16063692394320 1.381097952 1.439328967 0.1553613416 +80 45 1.15112809240896 1.307716473 1.507716473 0.1424222069 + +85 -45 1.95335826721369 1.878597358 -0.6785973582 0.1206116404 +85 -40 1.87468152707587 1.932874944 -0.5023248372 0.1253603139 +85 -35 1.79861105331357 1.969566841 -0.3290017800 0.1285704389 +85 -30 1.72574988414299 1.990271760 -0.1604088021 0.1303818846 +85 -25 1.65658828233112 1.996681290 0.002086052791 0.1309426458 +85 -20 1.59150806833171 1.990499810 0.1575024349 0.1304018364 +85 -15 1.53077920322832 1.973367479 0.3052123738 0.1289029516 +85 -10 1.47457078162617 1.946808504 0.4448886249 0.1265793424 +85 -5 1.42297416806243 1.912205824 0.5764479998 0.1235520002 +85 0 1.37601079125520 1.870774655 0.7000000000 0.1199272425 +85 5 1.33364492100727 1.823552575 0.8157958459 0.1157958459 +85 10 1.29580671096212 1.771410089 0.9241839022 0.1112339695 +85 15 1.26239485706351 1.715048862 1.025571361 0.1063030010 +85 20 1.23329827865508 1.655024525 1.120394547 0.1010515520 +85 25 1.20839843016592 1.591754264 1.209093374 0.09551612146 +85 30 1.18758212463224 1.525536852 1.292093978 0.08972284858 +85 35 1.17074671382031 1.456566205 1.369794868 0.08368869886 +85 40 1.15780176390809 1.384942383 1.442554827 0.07742242638 +85 45 1.14867933368985 1.310689120 1.510689120 0.07092610765 + +90 -45 1.95404303414313 1.881717080 -0.6817170802 0.000000000 +90 -40 1.87526342317885 1.936535125 -0.5053960933 0.000000000 +90 -35 1.79903930431882 1.973686724 -0.3318865530 0.000000000 +90 -30 1.72598429023734 1.994746242 -0.1629921451 0.000000000 +90 -25 1.65660208034257 2.001391365 -0.0001102915904 0.000000000 +90 -20 1.59128898038641 1.995322512 0.1557471149 0.000000000 +90 -15 1.53032864126306 1.978183957 0.3039218024 0.000000000 +90 -10 1.47390290368850 1.951511007 0.4440594467 0.000000000 +90 -5 1.42211396243966 1.916702389 0.5760546013 0.000000000 +90 0 1.37499132510686 1.874991325 0.7000000000 0.000000000 +90 5 1.33250463629221 1.827434054 0.8161354313 0.000000000 +90 10 1.29458677116838 1.774919089 0.9248026336 0.000000000 +90 15 1.26113680169308 1.718164607 1.026406223 0.000000000 +90 20 1.23204195005323 1.657740729 1.121383164 0.000000000 +90 25 1.20718014583440 1.594076767 1.210176375 0.000000000 +90 30 1.18643368222081 1.527481709 1.293216841 0.000000000 +90 35 1.16969420751643 1.458157401 1.370909035 0.000000000 +90 40 1.15686500060847 1.386210005 1.443618488 0.000000000 +90 45 1.14787160687118 1.311667797 1.511667797 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.22966552194787 1.209947720 1.409947720 0.7099477201 -40 45 1.23581440836231 1.130603474 1.451523955 0.7515239553 -35 45 1.24431989398297 1.052120423 1.488509682 0.7885096819 -30 45 1.25487700546982 0.9742989261 1.521509838 0.8215098379 -25 45 1.26727208356531 0.8968406935 1.551027613 0.8510276135 -20 45 1.28137063725782 0.8193733913 1.577471181 0.8774711810 -15 45 1.29710696265768 0.7414652657 1.601160640 0.9011606400 -10 45 1.31447828795712 0.6626325514 1.622335032 0.9223350321 -5 45 1.33353770609959 0.5823403330 1.641154313 0.9411543134 -0 45 1.35439280521000 0.5000000000 1.657700337 0.9577003370 --5 45 1.37720602409918 0.4149633324 1.671973559 0.9719735588 --10 45 1.40219483319607 0.3265148041 1.683883437 0.9838834375 --15 45 1.42963673590776 0.2338634174 1.693235248 0.9932352481 --20 45 1.45987334676777 0.1361359562 1.699708244 0.9997082440 --25 45 1.49331478361350 0.03237502666 1.702824992 1.002824992 --30 45 1.53044370521839 -0.07845334851 1.701910589 1.001910589 --35 45 1.57181361136629 -0.1974335141 1.696038283 0.9960382830 --40 45 1.61804185475631 -0.3256440509 1.683964264 0.9839642638 --45 45 1.66978100528885 -0.4640485129 1.664048513 0.9640485129 - -45 50 1.20948274000485 1.235511131 1.435511131 0.6171671184 -40 50 1.21341874259672 1.156115175 1.481927617 0.6561151752 -35 50 1.22012283980698 1.076732653 1.523659589 0.6911324571 -30 50 1.22931021449991 0.9972335427 1.561233759 0.7226609297 -25 50 1.24077174062638 0.9173887519 1.595093067 0.7510722624 -20 50 1.25436949989648 0.8368902909 1.625598467 0.7766693324 -15 50 1.27002964500512 0.7553635435 1.653029719 0.7996868855 -10 50 1.28773970216799 0.6723751534 1.677588074 0.8202937920 -5 50 1.30754379734564 0.5874357049 1.699394680 0.8385917077 -0 50 1.32954088023323 0.5000000000 1.718487403 0.8546124044 --5 50 1.35388487794710 0.4094654581 1.734814549 0.8683125064 --10 50 1.38078361180472 0.3151701105 1.748222392 0.8795630227 --15 50 1.41050188832334 0.2163918482 1.758440032 0.8881366404 --20 50 1.44336156341891 0.1123514666 1.765055592 0.8936877546 --25 50 1.47974110984769 0.002223273793 1.767485634 0.8957268020 --30 50 1.52007334810722 -0.1148419229 1.764937449 0.8935886207 --35 50 1.56483434317106 -0.2396722958 1.756361515 0.8863925576 --40 50 1.61452592111640 -0.3730003258 1.740401275 0.8730003258 --45 50 1.66963954832778 -0.5153418740 1.715341874 0.8519729920 - -45 55 1.19309150026625 1.256046901 1.456046901 0.5293897391 -40 55 1.19496432873356 1.176881545 1.506676013 0.5648406250 -35 55 1.19992058764073 1.097011864 1.552621303 0.5970118635 -30 55 1.20771436518859 1.016340230 1.594327512 0.6262148652 -25 55 1.21816035679163 0.9346773092 1.632168498 0.6527114090 -20 55 1.23113409838369 0.8517575451 1.666445912 0.6767127131 -15 55 1.24656794582282 0.7672487901 1.697386063 0.6983772398 -10 55 1.26445040926179 0.6807596384 1.725138851 0.7178099514 -5 55 1.28482327408980 0.5918432542 1.749773200 0.7350591077 -0 55 1.30777988279094 0.5000000000 1.771270564 0.7501117247 --5 55 1.33346605346801 0.4046796052 1.789517098 0.7628880852 --10 55 1.36207663255732 0.3052841948 1.804288206 0.7732309264 --15 55 1.39385700829438 0.2011742518 1.815232875 0.7808944658 --20 55 1.42909932454551 0.09168016643 1.821849523 0.7855274925 --25 55 1.46813816073013 -0.02387712479 1.823458120 0.7866538442 --30 55 1.51134216153100 -0.1461517566 1.819167672 0.7836496404 --35 55 1.55909780930764 -0.2757179085 1.807839985 0.7757179085 --40 55 1.61178361253153 -0.4129867355 1.788055222 0.7618644684 --45 55 1.66973450332864 -0.5580895061 1.758089506 0.7408822483 - -45 60 1.17989973837272 1.272425695 1.472425695 0.4459601828 -40 60 1.17992655194587 1.193630305 1.526636408 0.4772587527 -35 60 1.18326880792367 1.113539541 1.576225272 0.5058888968 -30 60 1.18972929564320 1.032063116 1.621560350 0.5320631160 -25 60 1.19915839866810 0.9490291575 1.662946136 0.5559572108 -20 60 1.21145682623068 0.8641961206 1.700620618 0.5777085830 -15 60 1.22657384180930 0.7772604233 1.734749987 0.5974131835 -10 60 1.24450718892598 0.6878630722 1.765424426 0.6151230790 -5 60 1.26530294535890 0.5955947233 1.792652687 0.6308433229 -0 60 1.28905289967710 0.5000000000 1.816352558 0.6445264498 --5 60 1.31589558083636 0.4005829597 1.836341970 0.6560673425 --10 60 1.34601096376876 0.2968145487 1.852321956 0.6652933915 --15 60 1.37962041989788 0.1881442204 1.863861614 0.6719558162 --20 60 1.41697962031175 0.07401826497 1.870375198 0.6757164357 --25 60 1.45837149297167 -0.04609242916 1.871098994 0.6761343192 --30 60 1.50409289460761 -0.1726507914 1.865065346 0.6726507914 --35 60 1.55443643252822 -0.3059945539 1.851079516 0.6645760682 --40 60 1.60966081542839 -0.4462534092 1.827700900 0.6510784181 --45 60 1.66995796158558 -0.5932441095 1.793244109 0.6311847809 - -45 65 1.16943381862688 1.285325018 1.485325018 0.3662030700 -40 65 1.16787124525093 1.206943646 1.542502630 0.3928654284 -35 65 1.16978904650051 1.126793224 1.595153493 0.4174169289 -30 65 1.17504011781230 1.044775425 1.643578715 0.4399979809 -25 65 1.18351557251987 0.9607208601 1.688019073 0.4607208601 -20 65 1.19514763486282 0.8743982973 1.728650868 0.4796677772 -15 65 1.20990871855337 0.7855211210 1.765579330 0.4968878020 -10 65 1.22781230801996 0.6937539480 1.798833243 0.5123943561 -5 65 1.24891385729630 0.5987186053 1.828358822 0.5261623598 -0 65 1.27330675037222 0.5000000000 1.854007823 0.5381226855 --5 65 1.30112345510038 0.3971545619 1.875528737 0.5481580523 --10 65 1.33252839671229 0.2897214126 1.892549129 0.5560947918 --15 65 1.36771706835310 0.1772383697 1.904562803 0.5616968598 --20 65 1.40690510698290 0.05926543203 1.910908273 0.5646558012 --25 65 1.45032119001131 -0.06458338329 1.910752973 0.5645833833 --30 65 1.49818928509907 -0.1945947567 1.903073409 0.5610023440 --35 65 1.55071091692815 -0.3308977566 1.886644975 0.5533416393 --40 65 1.60803677192420 -0.4733875916 1.860038159 0.5409346774 --45 65 1.67023419710695 -0.6216339736 1.821633974 0.5230265115 - -45 70 1.16132288996802 1.295263555 1.495263555 0.2894522623 -40 70 1.15844912500969 1.217278209 1.554818883 0.3111286290 -35 70 1.15916859993921 1.137155716 1.609952666 0.3311956851 -30 70 1.16338051032386 1.054782384 1.660911276 0.3497431023 -25 70 1.17101594304785 0.9699826181 1.707880977 0.3668386753 -20 70 1.18203957379679 0.8825264189 1.750982698 0.3825264189 -15 70 1.19644981412371 0.7921358171 1.790265712 0.3968242667 -10 70 1.21427908942767 0.6984914767 1.825701103 0.4097216943 -5 70 1.23559474108873 0.6012397150 1.857175238 0.4211773423 -0 70 1.26049398004219 0.5000000000 1.884476892 0.4311143317 --5 70 1.28910458255668 0.3943759016 1.907288969 0.4394172490 --10 70 1.32157557306797 0.2839693614 1.925170633 0.4459256423 --15 70 1.35807687371325 0.1683998839 1.937548481 0.4504308105 --20 70 1.39878644751087 0.04733091652 1.943698085 0.4526690835 --25 70 1.44388017946959 -0.07949560037 1.942732325 0.4523175756 --30 70 1.49351391868956 -0.2122134202 1.933589830 0.4489899793 --35 70 1.54780771420743 -0.3507774734 1.915036153 0.4422369932 --40 70 1.60681828464476 -0.4948954311 1.885670204 0.4315486620 --45 70 1.67051163112356 -0.6439514620 1.843951462 0.4163642816 - -45 75 1.15528393927628 1.302629578 1.502629578 0.2150639472 -40 75 1.15138718116345 1.224982470 1.564000463 0.2315082264 -35 75 1.15115781071541 1.144924665 1.621047874 0.2467940341 -30 75 1.15453367408515 1.062325409 1.673976179 0.2609761307 -25 75 1.16148072520271 0.9769992941 1.722928287 0.2740928085 -20 75 1.17199303364664 0.8887127322 1.767979454 0.2861642323 -15 75 1.18609371824260 0.7971909715 1.809131805 0.2971909715 -10 75 1.20383372698309 0.7021247878 1.846306634 0.3071519370 -5 75 1.22529316463631 0.6031787636 1.879338664 0.3160028427 -0 75 1.25057371295901 0.5000000000 1.907961447 0.3236722942 --5 75 1.27979875073602 0.3922314622 1.931800024 0.3300598216 --10 75 1.31310574299017 0.2795283404 1.950356915 0.3350321256 --15 75 1.35064165722196 0.1615794350 1.963002743 0.3384205650 --20 75 1.39255041214640 0.03813541559 1.968962517 0.3400174815 --25 75 1.43896177291124 -0.09095578169 1.967308764 0.3395743598 --30 75 1.48997332847926 -0.2257041354 1.956956434 0.3368004614 --35 75 1.54563719882492 -0.3659278014 1.936673064 0.3313655487 --40 75 1.60593521711247 -0.5111931932 1.905093121 0.3229037285 --45 75 1.67075574809285 -0.6607518597 1.860751860 0.3110225234 - -45 80 1.15111039587713 1.307704055 1.507704055 0.1424200174 -40 80 1.14648258389643 1.230312613 1.570352680 0.1534666602 -35 80 1.14556774072297 1.150322004 1.628756074 0.1637647543 -30 80 1.14833256023082 1.067586806 1.683089185 0.1733451478 -25 80 1.15476977361006 0.9819120241 1.733463671 0.1822275287 -20 80 1.16489671202308 0.8930591070 1.779921021 0.1904192130 -15 80 1.17875665481737 0.8007536519 1.822427910 0.1979143244 -10 80 1.19641625457118 0.7046923083 1.860867767 0.2046923083 -5 80 1.21796600765329 0.6045520081 1.895034921 0.2107168994 -0 80 1.24351154693436 0.5000000000 1.924619812 0.2159335140 --5 80 1.27317432052383 0.3907088285 1.949203807 0.2202683355 --10 80 1.30708238407673 0.2763740593 1.968245732 0.2236259407 --15 80 1.34536477438434 0.1567371497 1.981074398 0.2258879806 --20 80 1.38813854359710 0.03161469968 1.986878036 0.2269113187 --25 80 1.43549762542279 -0.09906622262 1.984701660 0.2265275649 --30 80 1.48749519784129 -0.2352248619 1.973446816 0.2245430321 --35 80 1.54413252605125 -0.3765813869 1.951887960 0.2207416242 --40 80 1.60533715751538 -0.5226042594 1.918692300 0.2148883337 --45 80 1.67094338631145 -0.6724572676 1.872457268 0.2067358500 - -45 85 1.14866082524290 1.310676058 1.510676058 0.07092496483 -40 85 1.14359472359389 1.233443158 1.574083519 0.07647239886 -35 85 1.14226602724496 1.153500807 1.633295875 0.08165280880 -30 85 1.14465916275270 1.070693835 1.688470717 0.08647998198 -25 85 1.15078362684837 0.9848204904 1.739700897 0.09096204193 -20 85 1.16067160353980 0.8956382826 1.787007248 0.09510081134 -15 85 1.17437946028969 0.8028722094 1.830334474 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1.447100167e-16 --90 40 1.74131422993122 -0.8339240896 1.819295212 1.633585867e-16 --90 35 1.81510495392495 -0.9868469336 1.741101431 1.820862338e-16 --90 30 1.89194373466920 -1.138471337 1.645971867 2.006548678e-16 --90 25 1.97119215815729 -1.286506803 1.533061803 2.187839838e-16 --90 20 2.05210719987822 -1.428349993 1.401861999 2.361547646e-16 --90 15 2.13385747347031 -1.561148043 1.252282954 2.524178354e-16 --90 10 2.21554383180844 -1.681884743 1.084725149 2.672038166e-16 --90 5 2.29621623428007 -1.787478438 0.9001284314 2.801353148e-16 --90 -2.84217e-14 2.37489786377593 -1.874897864 0.7000000000 2.908411067e-16 --90 -5 2.45060807158239 -1.941282768 0.4864154333 2.989709128e-16 --90 -10 2.52237364981299 -1.984053126 0.2619944123 3.042087710e-16 --90 -15 2.58926797644093 -2.001040810 0.02984813482 3.062891622e-16 --90 -20 2.65041670347463 -1.990577018 -0.2064959008 3.050077173e-16 --90 -25 2.70501405441005 -1.951575302 -0.4431883377 3.002313846e-16 --90 -30 2.75233683327247 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1.79816903553156 -0.8315665402 1.632372929 0.7687803004 +-60 30 1.86378556601881 -0.9436820916 1.533510244 0.8335102442 +-60 25 1.92989677825314 -1.049742425 1.422656761 0.8947442065 +-60 20 1.99616614909264 -1.148762846 1.300100599 0.9519136732 +-60 15 2.06228903155858 -1.239767697 1.166169350 1.004455348 +-60 10 2.12799004179313 -1.321775389 1.021228154 1.051802511 +-60 5 2.19300880257392 -1.393773321 0.8656836969 1.093370537 +-60 -2.84217e-14 2.25708717113258 -1.454694829 0.7000000000 1.128543586 +-60 -5 2.31995443909546 -1.503397258 0.5247254514 1.156661946 +-60 -10 2.38130560207155 -1.538639211 0.3405329032 1.177008897 +-60 -15 2.44079096325730 -1.559075721 0.1482723235 1.188807922 +-60 -20 2.49800009806359 -1.563259992 -0.05096522253 1.191223712 +-60 -25 2.55244338556602 -1.549658742 -0.2557715681 1.183371027 +-60 -30 2.60353516236510 -1.516689665 -0.4643363210 1.164336321 +-60 -35 2.65058086681830 -1.462788105 -0.6743590273 1.133216241 +-60 -40 2.69277025101059 -1.386508888 -0.8829689123 1.089176414 +-60 -45 2.72917760845847 -1.286666139 -1.086666139 1.031532177 + +-55 45 1.66976149010128 -0.5581066073 1.758106607 0.7408942226 +-55 40 1.73069918206108 -0.6683307040 1.680345863 0.8180739661 +-55 35 1.79224587853937 -0.7735067903 1.591719054 0.8917190545 +-55 30 1.85405516191615 -0.8729509121 1.492673579 0.9613505782 +-55 25 1.91585307818995 -0.9660614064 1.383635661 1.026547248 +-55 20 1.97743020320030 -1.052291777 1.264988002 1.086926404 +-55 15 2.03863152553153 -1.131120612 1.137057451 1.142122949 +-55 10 2.09933370582136 -1.202011030 1.000110466 1.191760953 +-55 5 2.15943031324051 -1.264376560 0.8543629472 1.235429768 +-55 -2.84217e-14 2.21883026138918 -1.317559345 0.7000000000 1.272668754 +-55 -5 2.27742399648395 -1.360784066 0.5372024890 1.302935030 +-55 -10 2.33506982157169 -1.393131417 0.3661898532 1.325584889 +-55 -15 2.39158022421069 -1.413516862 0.1872747021 1.339858931 +-55 -20 2.44670298847758 -1.420673065 0.0009321746290 1.344869758 +-55 -25 2.50009502969177 -1.413138788 -0.1921112678 1.339594201 +-55 -30 2.55129615467111 -1.389266541 -0.3907685460 1.322878674 +-55 -35 2.59970600491794 -1.347259514 -0.5934650365 1.293465036 +-55 -40 2.64456127660224 -1.285245044 -0.7979984583 1.250042038 +-55 -45 2.68491350791058 -1.201395522 -1.001395522 1.191329970 + +-50 45 1.66965967120841 -0.5153541111 1.715354111 0.8519832602 +-50 40 1.72767925903175 -0.6133173396 1.634184169 0.9341841691 +-50 35 1.78559368794868 -0.7053879450 1.544021726 1.011440580 +-50 30 1.84315969009382 -0.7912862271 1.445524451 1.083517797 +-50 25 1.90023213346308 -0.8708279716 1.339227581 1.150261245 +-50 20 1.95673874459597 -0.9438762922 1.225527992 1.211556064 +-50 15 2.01265757466213 -1.010297409 1.104682971 1.267289999 +-50 10 2.06801023854839 -1.069930741 0.9768211476 1.317328306 +-50 5 2.12283291973451 -1.122544447 0.8419542452 1.361476447 +-50 -2.84217e-14 2.17717087638205 -1.167809652 0.7000000000 1.399458464 +-50 -5 2.23105763087390 -1.205263818 0.5508087476 1.430886241 +-50 -10 2.28450140944756 -1.234280094 0.3941996273 1.455233787 +-50 -15 2.33747276588676 -1.254038594 0.2300067753 1.471813137 +-50 -20 2.38988087233375 -1.263491597 0.05814155049 1.479745148 +-50 -25 2.44154681332289 -1.261332527 -0.1213228460 1.477933474 +-50 -30 2.49217594424386 -1.245975940 -0.3080396789 1.465047767 +-50 -35 2.54132240837937 -1.215552321 -0.5012426673 1.439519320 +-50 -40 2.58834646524754 -1.167931698 -0.6995608729 1.399560873 +-50 -45 2.63237117925941 -1.100798621 -0.9007986208 1.343229532 + +-45 45 1.66979635701674 -0.4640573762 1.664057376 0.9640573762 +-45 40 1.72446785413777 -0.5486840854 1.579950429 1.048684085 +-45 35 1.77832960670716 -0.6269048411 1.489067265 1.126904841 +-45 30 1.83127566559026 -0.6988513366 1.392157142 1.198851337 +-45 25 1.88329392343220 -0.7647127274 1.289745230 1.264712727 +-45 20 1.93444647135243 -0.8246916859 1.182148343 1.324691686 +-45 15 1.98484061593546 -0.8789612508 1.069491554 1.378961251 +-45 10 2.03461391628804 -0.9276353660 0.9517306336 1.427635366 +-45 5 2.08391657690704 -0.9707398719 0.8286730658 1.470739872 +-45 -2.84217e-14 2.13290660442439 -1.008192724 0.7000000000 1.508192724 +-45 -5 2.18173601657536 -1.039776681 0.5652869961 1.539776681 +-45 -10 2.23053797020426 -1.065110150 0.4240288528 1.565110150 +-45 -15 2.27942065090052 -1.083619726 0.2756703734 1.583619726 +-45 -20 2.32844500927734 -1.094498370 0.1196500548 1.594498370 +-45 -25 2.37760383019927 -1.096663053 -0.04453620891 1.596663053 +-45 -30 2.42679451021032 -1.088709934 -0.2172421082 1.588709934 +-45 -35 2.47577862053064 -1.068869406 -0.3985341843 1.568869406 +-45 -40 2.52412604856184 -1.034972548 -0.5879948992 1.534972548 +-45 -45 2.57114427217081 -0.9844508377 -0.7844508377 1.484450838 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.84486213185917 -1.511621305 -1.311621305 2.463525592e-16 --40 -90 2.85785630048564 -1.336994620 -1.489244938 2.681051806e-16 --35 -90 2.86153350456571 -1.141308190 -1.644031020 2.870610086e-16 --30 -90 2.85584294895947 -0.9279214745 -1.773232543 3.028836317e-16 --25 -90 2.84086540296942 -0.7006015984 -1.874698437 3.153096199e-16 --20 -90 2.81680814324519 -0.4634051249 -1.946933826 3.241559038e-16 --15 -90 2.78398325391865 -0.2205478874 -1.989121325 3.293223823e-16 --10 -90 2.74283392933027 0.02371188653 -2.001164119 3.307971992e-16 --5 -90 2.69390827323223 0.2652104236 -1.983657139 3.286532125e-16 --2.84217e-14 -90 2.63785224450883 0.5000000000 -1.937852245 3.230437308e-16 -5 -90 2.57540391597515 0.7244612412 -1.865603727 3.141958392e-16 -10 -90 2.50738436693527 0.9354027260 -1.769291564 3.024010010e-16 -15 -90 2.43468736507589 1.130143459 -1.651727405 2.880035439e-16 -20 -90 2.35825486015068 1.306570665 -1.516034690 2.713859790e-16 -25 -90 2.27905855820242 1.463171766 -1.365528518 2.529542889e-16 -30 -90 2.19807901300033 1.599039507 -1.203592265 2.331228174e-16 -35 -90 2.11628988105256 1.713854008 -1.033563182 2.123002602e-16 -40 -90 2.03463518036591 1.807838284 -0.8586209737 1.908760187e-16 -45 -90 1.95400269724911 1.881688558 -0.6816885577 1.692080470e-16 - --45 -85 2.84179821685003 -1.505620566 -1.305620566 0.1754690629 --40 -85 2.85422055511830 -1.330551064 -1.481565807 0.1908622769 --35 -85 2.85736493757002 -1.134724529 -1.634628578 0.2042535341 --30 -85 2.85121050756264 -0.9215308022 -1.762163574 0.2154114005 --25 -85 2.83586432820923 -0.6947381786 -1.862124292 0.2241568301 --20 -85 2.81155177228389 -0.4583740234 -1.933110989 0.2303673613 --15 -85 2.77860157952600 -0.2166007477 -1.974390399 0.2339788418 --10 -85 2.73746225689348 0.02639929571 -1.985923064 0.2349878192 --5 -85 2.68868076557530 0.2665510071 -1.968334198 0.2334489929 --2.84217e-14 -85 2.63289379568766 0.5000000000 -1.922874840 0.2294718143 -5 -85 2.57082260355912 0.7232157701 -1.851367927 0.2232157701 -10 -85 2.50326745193878 0.9330833148 -1.756137529 0.2148841899 -15 -85 2.43109388609703 1.126978589 -1.639915948 0.2047161190 -20 -85 2.35521592111995 1.302822762 -1.505737409 0.1929770180 -25 -85 2.27657686197920 1.459112630 -1.356823672 0.1799487542 -30 -85 2.19613063637469 1.594926992 -1.196469181 0.1659195541 -35 -85 2.11482903260847 1.709912969 -1.027934794 0.1511747058 -40 -85 2.03359930256530 1.804246569 -0.8543405347 0.1359871760 -45 -85 1.95331846342916 1.878569266 -0.6785692664 0.1206091827 - --45 -80 2.83255375390544 -1.487528878 -1.287528878 0.3504549662 --40 -80 2.84327816128694 -1.311176141 -1.458475673 0.3805974984 --35 -80 2.84484985323439 -1.114979536 -1.606429805 0.4066858037 --30 -80 2.83733460474139 -0.9024105396 -1.729046308 0.4283064014 --25 -80 2.82091346222130 -0.6772321613 -1.824582517 0.4451520128 --20 -80 2.79586538008758 -0.4433800767 -1.891915459 0.4570246271 --15 -80 2.76256546466565 -0.2048542622 -1.930551918 0.4638372774 --10 -80 2.72147374993855 0.03438885355 -1.940612030 0.4656111464 --5 -80 2.67313209383247 0.2705343774 -1.922804068 0.4624711223 --2.84217e-14 -80 2.61814887383365 0.5000000000 -1.878373309 0.4546367808 -5 -80 2.55719768041615 0.7195136407 -1.809052394 0.4424136331 -10 -80 2.49101515894032 0.9261824770 -1.717000934 0.4261824770 -15 -80 2.42038808321312 1.117549477 -1.604726023 0.4063853809 -20 -80 2.34614866504079 1.291636795 -1.475004217 0.3835119267 -25 -80 2.26915858122484 1.446972141 -1.330788310 0.3580827712 -30 -80 2.19029423909920 1.582597632 -1.175114104 0.3306332084 -35 -80 2.11044266730170 1.698067348 -1.011017495 0.3016985488 -40 -80 2.03048084429223 1.793421977 -0.8414402878 0.2717975119 -45 -80 1.95125302136205 1.869143206 -0.6691432065 0.2414168878 - --45 -75 2.81697286078670 -1.457082291 -1.257082291 0.5243986194 --40 -75 2.82492745960408 -1.278743867 -1.419824394 0.5680052344 --35 -75 2.82396518681635 -1.082098288 -1.559470516 0.6054233001 --30 -75 2.81428544504800 -0.8707215738 -1.674159409 0.6361540963 --25 -75 2.79617790835415 -0.6483400968 -1.762623285 0.6598579204 --20 -75 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-1.307458442 1.159006672 +-30 -60 2.69170165144997 -0.7037655736 -1.384983134 1.203765574 +-25 -60 2.66668059881319 -0.4985481018 -1.441393315 1.236334007 +-20 -60 2.63643398464041 -0.2925821282 -1.477601500 1.257238812 +-15 -60 2.60147335344140 -0.08804906701 -1.494628995 1.267069641 +-10 -60 2.56223387422380 0.1132210955 -1.493532170 1.266436389 +-5 -60 2.51908120372962 0.3096812534 -1.475353227 1.255940771 +-2.84217e-14 -60 2.47232126927725 0.5000000000 -1.441093026 1.236160635 +5 -60 2.42221256673840 0.6830002379 -1.391702291 1.207644881 +10 -60 2.36898021941932 0.8576065336 -1.328087433 1.170916825 +15 -60 2.31283577461146 1.022804094 -1.251131441 1.126486263 +20 -60 2.25398429811435 1.177607587 -1.161711546 1.074859662 +25 -60 2.19264157698568 1.321042492 -1.060731306 1.016558694 +30 -60 2.12905984611126 1.452144509 -0.9491626654 0.9521445088 +35 -60 2.06354176309804 1.569971977 -0.8280783463 0.8822364446 +40 -60 1.99645755329155 1.673635308 -0.6986840942 0.8075306383 +45 -60 1.92825998479958 1.762342477 -0.5623424771 0.7288137690 + +-45 -55 2.68491360026791 -1.201395581 -1.001395581 1.191330011 +-40 -55 2.67385100210673 -1.014589476 -1.105017450 1.263886825 +-35 -55 2.65663366088266 -0.8217889825 -1.187710301 1.321788983 +-30 -55 2.63409127657114 -0.6261663631 -1.250577359 1.365808970 +-25 -55 2.60693510371802 -0.4302351122 -1.294895636 1.396840962 +-20 -55 2.57574916560767 -0.2359386801 -1.321974906 1.415802071 +-15 -55 2.54099980928644 -0.04475901374 -1.333068317 1.423569761 +-10 -55 2.50304892562419 0.1421763831 -1.329318573 1.420944162 +-5 -55 2.46216739034922 0.3239964436 -1.311729855 1.408628409 +-2.84217e-14 -55 2.41855033195698 0.5000000000 -1.281160449 1.387223481 +5 -55 2.37233424130240 0.6695819972 -1.238331097 1.357234046 +10 -55 2.32361257045546 0.8321722743 -1.183842580 1.319080775 +15 -55 2.27244987264832 0.9871852201 -1.118199994 1.273117342 +20 -55 2.21889490379335 1.133978886 -1.041842674 1.219651371 +25 -55 2.16300040904740 1.271825476 -0.9551850754 1.158973067 +30 -55 2.10484798438985 1.399896302 -0.8586661170 1.091389765 +35 -55 2.04456035536695 1.517256309 -0.7527925698 1.017256309 +40 -55 1.98233182203159 1.622881908 -0.6381985485 0.9370167113 +45 -55 1.91844996409555 1.715697328 -0.5156973285 0.8512404336 + +-45 -50 2.63237089399554 -1.100798447 -0.9007984474 1.343229387 +-40 -50 2.61579856009223 -0.9144046654 -0.9856218414 1.414404665 +-35 -50 2.59435027824117 -0.7263080976 -1.051349465 1.469556690 +-30 -50 2.56889770817899 -0.5390722320 -1.099725899 1.510149338 +-25 -50 2.54012244525759 -0.3544831434 -1.132445014 1.537603936 +-20 -50 2.50853955125518 -0.1737270152 -1.151049761 1.553215172 +-15 -50 2.47452396807285 0.002450032181 -1.156881759 1.558108799 +-10 -50 2.43833490942354 0.1736076760 -1.151062853 1.553226157 +-5 -50 2.40013362568161 0.3395026034 -1.134493638 1.539322935 +-2.84217e-14 -50 2.36000246245810 0.5000000000 -1.107866772 1.516980342 +5 -50 2.31796443918517 0.6550027274 -1.071689281 1.486623822 +10 -50 2.27399815017020 0.8043944202 -1.026306541 1.448543182 +15 -50 2.22804516568659 0.9479907307 -0.9719241681 1.402910953 +20 -50 2.18002335314864 1.085496300 -0.9086378648 1.349807439 +25 -50 2.12985286103128 1.216470724 -0.8364764262 1.289256803 +30 -50 2.07745978938643 1.340294564 -0.7554328785 1.221253192 +35 -50 2.02280134050289 1.456146009 -0.6655180165 1.145805664 +40 -50 1.96589868579357 1.562993273 -0.5668260520 1.062993273 +45 -50 1.90685714316572 1.659598733 -0.4595987332 0.9730188694 + +-45 -45 2.57114431612694 -0.9844508630 -0.7844508630 1.484450863 +-40 -45 2.54948339099349 -0.8009340818 -0.8503928657 1.550392866 +-35 -45 2.52443901150926 -0.6201254132 -0.8997048761 1.599704876 +-30 -45 2.49680995181355 -0.4437054576 -0.9345458000 1.634545800 +-25 -45 2.46716376957430 -0.2725815110 -0.9568063971 1.656806397 +-20 -45 2.43588586854076 -0.1071288884 -0.9680729117 1.668072912 +-15 -45 2.40321915860798 0.05262444082 -0.9696283169 1.669628317 +-10 -45 2.36929673965418 0.2068610586 -0.9624735489 1.662473549 +-5 -45 2.33416647582644 0.3558750577 -0.9473556292 1.647355629 +-2.84217e-14 -45 2.29780506351650 0.5000000000 -0.9247935423 1.624793542 +5 -45 2.26013812565405 0.6395540037 -0.8951095616 1.595109562 +10 -45 2.22105252385104 0.7747975696 -0.8584544603 1.558454460 +15 -45 2.18039690957413 0.9058956850 -0.8148233191 1.514823319 +20 -45 2.13799509302107 1.032881528 -0.7640799662 1.464079966 +25 -45 2.09365770778689 1.155619726 -0.7059810404 1.405981040 +30 -45 2.04719018904174 1.273765161 -0.6402005719 1.340200572 +35 -45 1.99841465767781 1.386721776 -0.5663699372 1.266369937 +40 -45 1.94718322473441 1.493596204 -0.4841218462 1.184121846 +45 -45 1.89342278307570 1.593168153 -0.3931681535 1.093168153 diff --git a/test/Kerr-selection-mean-coordinate-radius.par b/test/Kerr-selection-mean-coordinate-radius.par index ae41db4..dc4f832 100644 --- a/test/Kerr-selection-mean-coordinate-radius.par +++ b/test/Kerr-selection-mean-coordinate-radius.par @@ -48,8 +48,8 @@ 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 = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr-selection-mean-coordinate-radius/BH_diagnostics.ah1.gp b/test/Kerr-selection-mean-coordinate-radius/BH_diagnostics.ah1.gp index 5e5e168..95d0492 100644 --- a/test/Kerr-selection-mean-coordinate-radius/BH_diagnostics.ah1.gp +++ b/test/Kerr-selection-mean-coordinate-radius/BH_diagnostics.ah1.gp @@ -37,7 +37,7 @@ # 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 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000016 0.000001 0.000000 1.285109556 3.005476664 2.233004508 1.533294551 8.989915904e-06 0.000000000 1.533293406 -0.000000000 1.416075378 -2.145216527 2.144233419 -2.145252713 2.145100341 -2.058855105 2.058855105 13.98173172 12.51419352 12.86178758 0.8950388814 0.9198994685 57.68195525 1.071235753 2.142471506 0.06869382777 -1.273415190 -0.08747576378 0.6710545091 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000043 0.000004 0.000000 1.285113742 3.005450663 2.232995694 1.533276280 1.023420653e-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 0.06870260935 -1.273426199 -0.08748770265 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/h.t0.ah1.gp b/test/Kerr-selection-mean-coordinate-radius/h.t0.ah1.gp index 9760592..d1ac008 100644 --- a/test/Kerr-selection-mean-coordinate-radius/h.t0.ah1.gp +++ b/test/Kerr-selection-mean-coordinate-radius/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.72581823568202 -1.073751892 -0.8737518921 1.573751892 --40 -45 2.70498107073550 -0.8802804434 -0.9449541773 1.644954177 --35 -45 2.68070540501334 -0.6894627819 -0.9987289011 1.698728901 --30 -45 2.65377960938370 -0.5030344115 -1.037306563 1.737306563 --25 -45 2.62476916531219 -0.3219349493 -1.062645187 1.762645187 --20 -45 2.59406122776600 -0.1465530796 -1.076389987 1.776389987 --15 -45 2.56190202986616 0.02308454721 -1.079872701 1.779872701 --10 -45 2.52842755014470 0.1871727534 -1.074131476 1.774131476 --5 -45 2.49368721062216 0.3460253246 -1.059938593 1.759938593 -0 -45 2.45766194386491 0.5000000000 -1.037829426 1.737829426 -5 -45 2.42027841241637 0.6494419915 -1.008129779 1.708129779 -10 -45 2.38142220774240 0.7946391532 -0.9709816727 1.670981673 -15 -45 2.34094428745465 0.9357826692 -0.9263630625 1.626363063 -20 -45 2.29866860562863 1.072928368 -0.8741077542 1.574107754 -25 -45 2.25440197172406 1.205956087 -0.8139277150 1.513927715 -30 -45 2.20794535724031 1.334524903 -0.7454395328 1.445439533 -35 -45 2.15911227157443 1.458025333 -0.6682019701 1.368201970 -40 -45 2.10774897726122 1.575528670 -0.5817651562 1.281765156 -45 -45 2.05376904474855 1.685744111 -0.4857441108 1.185744111 - --45 -40 2.67995050399062 -1.129732579 -0.6675080059 1.629732579 --40 -40 2.65771172917853 -0.9370677950 -0.7370677950 1.712630708 --35 -40 2.63187086537218 -0.7440434822 -0.7908100386 1.776678219 --30 -40 2.60319111422324 -0.5529432887 -0.8303090210 1.823751274 --25 -40 2.57224957826563 -0.3652905333 -0.8570513472 1.855621537 --20 -40 2.53946616365928 -0.1820330809 -0.8723640363 1.873870489 --15 -40 2.50513185575917 -0.003704264051 -0.8773813623 1.879849905 --10 -40 2.46943381475930 0.1694448172 -0.8730362469 1.874671599 --5 -40 2.43247662623295 0.3373398207 -0.8600660813 1.859214357 -0 -40 2.39430001080374 0.5000000000 -0.8390263808 1.834140218 -5 -40 2.35489405310427 0.6574722177 -0.8103085874 1.799915685 -10 -40 2.31421401882331 0.8097776638 -0.7741608028 1.756836433 -15 -40 2.27218821410270 0.9568665276 -0.7307060654 1.705049093 -20 -40 2.22872934098290 1.098577434 -0.6799647787 1.644577983 -25 -40 2.18374804806892 1.234600767 -0.6218809982 1.575356429 -30 -40 2.13716315071639 1.364443484 -0.5563503429 1.497260035 -35 -40 2.08892152024565 1.487399966 -0.4832591079 1.410153293 -40 -40 2.03901613252866 1.602529061 -0.4025290612 1.313942970 -45 -40 1.98751178338935 1.708646466 -0.3141748034 1.208646466 - --45 -35 2.63263865536561 -1.168269614 -0.4681349592 1.668269614 --40 -35 2.60844401803837 -0.9775400185 -0.5329699842 1.760863625 --35 -35 2.58063514244404 -0.7839764659 -0.5839764659 1.833708431 --30 -35 2.54993952356317 -0.5901885386 -0.6221752436 1.888261939 --25 -35 2.51693371845653 -0.3981198330 -0.6486166617 1.926024197 --20 -35 2.48206075615643 -0.2091701867 -0.6643047257 1.948429075 --15 -35 2.44564956512721 -0.02431709762 -0.6701507395 1.956778048 --10 -35 2.40793437887149 0.1557734929 -0.6669490292 1.952205531 --5 -35 2.36907313253059 0.3306511172 -0.6553683359 1.935666587 -0 -35 2.32916390128420 0.5000000000 -0.6359535302 1.907939371 -5 -35 2.28825978599900 0.6635720877 -0.6091342836 1.869637518 -10 -35 2.24638450689049 0.8211321285 -0.5752395363 1.821230802 -15 -35 2.20354061498925 0.9724119253 -0.5345116186 1.763065307 -20 -35 2.15972145084035 1.117071947 -0.4871257278 1.695391242 -25 -35 2.11492496180320 1.254670669 -0.4332134100 1.618396473 -30 -35 2.06916376313507 1.384640047 -0.3728870537 1.532241507 -35 -35 2.02247994590470 1.506270360 -0.3062703598 1.437103009 -40 -35 1.97496153796876 1.618707048 -0.2335328952 1.333223144 -45 -35 1.92675509046125 1.720960181 -0.1549255229 1.220960181 - --45 -30 2.58457038106711 -1.191998487 -0.2768757820 1.691998487 --40 -30 2.55795130099488 -1.003714395 -0.3346446101 1.792057032 --35 -30 2.52782334373049 -0.8107077303 -0.3807330964 1.871884632 --30 -30 2.49488004169970 -0.6157442738 -0.4157442738 1.932525770 --25 -30 2.45969527204619 -0.4210417048 -0.4403708837 1.975180310 --20 -30 2.42273121016072 -0.2283373943 -0.4553301646 2.001090545 --15 -30 2.38435035019614 -0.03896957930 -0.4613180427 2.011461854 --10 -30 2.34483045440218 0.1460389648 -0.4589803110 2.007412784 --5 -30 2.30437964084239 0.3259021407 -0.4488968040 1.989947637 -0 -30 2.26315089435384 0.5000000000 -0.4315754472 1.959946167 -5 -30 2.22125582748995 0.6678177838 -0.4074536833 1.918166046 -10 -30 2.17877837541777 0.8288948451 -0.3769056818 1.865255356 -15 -30 2.13578427684714 0.9827825546 -0.3402518304 1.801769023 -20 -30 2.09233162981996 1.129010499 -0.2977721986 1.728192142 -25 -30 2.04848210823851 1.267061463 -0.2497230728 1.644968615 -30 -30 2.00431171079843 1.396355447 -0.1963554467 1.552533175 -35 -30 1.95991897447924 1.516242277 -0.1379340698 1.451344382 -40 -30 1.91543769007206 1.626007061 -0.07475958248 1.341922961 -45 -30 1.87104145067197 1.724884154 -0.007187195882 1.224884154 - --45 -25 2.53617878791097 -1.203152945 -0.09419326126 1.703152945 --40 -25 2.50677241047854 -1.017416269 -0.1432643761 1.808386290 --35 -25 2.47405484169040 -0.8256414172 -0.1828193229 1.893212148 --30 -25 2.43869395936492 -0.6306341957 -0.2131776880 1.958315872 --25 -25 2.40126364341282 -0.4347678027 -0.2347678027 2.004616022 --20 -25 2.36224395329179 -0.2400090902 -0.2480772694 2.033158265 --15 -25 2.32202832715361 -0.04796541324 -0.2536153712 2.045034763 --10 -25 2.28093415981470 0.1400589930 -0.2518863612 2.041326889 --5 -25 2.23921453472658 0.3230044974 -0.2433720323 2.023067852 -0 -25 2.19707037628859 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1.495676187 0.7956761871 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 2.05376928546433 1.685744250 -0.4857442498 1.185744250 -45 -40 1.98751198444526 1.708646588 -0.3141749060 1.208646588 -45 -35 1.92675524546221 1.720960280 -0.1549255916 1.220960280 -45 -30 1.87104153344236 1.724884208 -0.007187227166 1.224884208 -45 -25 1.81986187880869 1.722115386 0.1301182364 1.222115386 -45 -20 1.77270743461649 1.713934236 0.2581640716 1.213934236 -45 -15 1.72910005957718 1.701286371 0.3781162870 1.201286371 -45 -10 1.68860697364200 1.684851345 0.4910787398 1.184851345 -45 -5 1.65084635721518 1.665097292 0.5980671951 1.165097292 -45 0 1.61549118945580 1.642324775 0.7000000000 1.142324775 -45 5 1.58226616047183 1.616696300 0.7976982668 1.116696300 -45 10 1.55094991683435 1.588260989 0.8918897744 1.088260989 -45 15 1.52137190817652 1.556967946 0.9832137076 1.056967946 -45 20 1.49341510428012 1.522677340 1.072224111 1.022677340 -45 25 1.46701887871188 1.485166162 1.159390526 0.9851661624 -45 30 1.44218406280897 1.444131091 1.245094339 0.9441310906 -45 35 1.41898119350465 1.399190325 1.329619844 0.8991903247 -45 40 1.39756141689191 1.349885611 1.413138703 0.8498856112 -45 45 1.37816820744489 1.295685786 1.495685786 0.7956857856 - -50 -45 2.06669395365208 1.756798759 -0.5567987588 1.054579375 -50 -40 1.99719561007548 1.786993805 -0.3799160270 1.079916027 -50 -35 1.93272406940271 1.804710198 -0.2135679159 1.094781846 -50 -30 1.87306461958344 1.812237110 -0.05762044892 1.101097675 -50 -25 1.81789950386069 1.811433191 0.08846866010 1.100423106 -50 -20 1.76686397444329 1.803767818 0.2254673217 1.093991096 -50 -15 1.71958604516318 1.790376655 0.3542446174 1.082754575 -50 -10 1.67570887244414 1.772115014 0.4756918006 1.067431239 -50 -5 1.63490609073409 1.749607434 0.5906735156 1.048545137 -50 0 1.59689157725823 1.723289919 0.7000000000 1.026462120 -50 5 1.56142169921124 1.693441125 0.8044125690 1.001416008 -50 10 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1.62095183649921 1.824409224 0.5841292070 0.9273613225 -55 0 1.58056506604102 1.794723105 0.7000000000 0.9065748780 -55 5 1.54313165200912 1.760825737 0.8103079587 0.8828396855 -55 10 1.50848618153545 1.722988090 0.9156457974 0.8563454799 -55 15 1.47650401259633 1.681359210 1.016544246 0.8271966244 -55 20 1.44710749251708 1.635986017 1.113465097 0.7954259725 -55 25 1.42026743918231 1.586826178 1.206795370 0.7610038828 -55 30 1.39600655028437 1.533760217 1.296841740 0.7238466966 -55 35 1.37440364978174 1.476602821 1.383824657 0.6838246570 -55 40 1.35559465752920 1.415111579 1.467869788 0.6407680257 -55 45 1.33977616156275 1.348999104 1.548999104 0.5944755725 - -60 -45 2.08720389003731 1.866395688 -0.6663956881 0.7888889184 -60 -40 2.01316641089623 1.910390035 -0.4834577579 0.8142890662 -60 -35 1.94311730325376 1.938902536 -0.3075304022 0.8307507663 -60 -30 1.87723976226413 1.954103667 -0.1395271437 0.8395271437 -60 -25 1.81557285433570 1.957938223 0.02015224165 0.8417410253 -60 -20 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1.907035141 0.9480982582 0.2480982582 +80 15 1.41562845823584 1.847980420 1.061190265 0.2376853176 +80 20 1.38539359525101 1.784333324 1.167459101 0.2264626172 +80 25 1.35933698661199 1.716541534 1.267282634 0.2145090956 +80 30 1.33738541791301 1.644937614 1.361030039 0.2018833925 +80 35 1.31947168267845 1.569746726 1.449044721 0.1886252103 +80 40 1.30554481545050 1.491104832 1.531635699 0.1747585226 +80 45 1.29556733211211 1.409065709 1.609065709 0.1602928117 + +85 -45 2.11116318451289 1.989969371 -0.7899693711 0.1303554290 +85 -40 2.03283145731102 2.053753648 -0.6037541127 0.1359358301 +85 -35 1.95685690329705 2.098862640 -0.4195356733 0.1398823556 +85 -30 1.88384182271730 2.126792095 -0.2392288540 0.1423258662 +85 -25 1.81428655209417 2.139157276 -0.06435159082 0.1434076794 +85 -20 1.74858612878677 2.137608596 0.1039592157 0.1432721874 +85 -15 1.68703552080115 2.123763419 0.2649139033 0.1420608914 +85 -10 1.62984157248359 2.099155955 0.4180256587 0.1399080173 +85 -5 1.57713538686262 2.065200429 0.5630627063 0.1369372937 +85 0 1.52897664692611 2.023158429 0.7000000000 0.1332590953 +85 5 1.48537198327423 1.974131444 0.8289697899 0.1289697899 +85 10 1.44629085290310 1.919061011 0.9502187436 0.1241517514 +85 15 1.41166893446811 1.858724429 1.064069114 0.1188729844 +85 20 1.38142889380595 1.793753733 1.170887849 0.1131887850 +85 25 1.35548163201417 1.724639833 1.271058933 0.1071421023 +85 30 1.33374059249065 1.651752035 1.364964347 0.1007652462 +85 35 1.31612165126284 1.575345742 1.452965195 0.09408056178 +85 40 1.30255523501972 1.495581774 1.535392299 0.08710211880 +85 45 1.29298319978233 1.412532664 1.612532664 0.07983626320 + +90 -45 2.11181568741328 1.993279193 -0.7932791932 0.000000000 +90 -40 2.03338221532484 2.057661147 -0.6070328938 0.000000000 +90 -35 1.95725561820765 2.103289941 -0.4226357025 0.000000000 +90 -30 1.88404821243943 2.131633614 -0.2420241062 0.000000000 +90 -25 1.81427284311409 2.144289606 -0.06674483528 0.000000000 +90 -20 1.74833832303355 2.142900621 0.1020330762 0.000000000 +90 -15 1.68655352879659 2.129085611 0.2634878262 0.000000000 +90 -10 1.62913828019038 2.104388009 0.4171031065 0.000000000 +90 -5 1.57623477335581 2.070236724 0.5626220876 0.000000000 +90 0 1.52791121096885 2.027911211 0.7000000000 0.000000000 +90 5 1.48418019086834 1.978532437 0.8293548269 0.000000000 +90 10 1.44501461257149 1.923061594 0.9509241542 0.000000000 +90 15 1.41035103988876 1.862294494 1.065025709 0.000000000 +90 20 1.38011077504582 1.796879911 1.172025685 0.000000000 +90 25 1.35420158331451 1.727323440 1.272310319 0.000000000 +90 30 1.33253225070218 1.654006780 1.366266125 0.000000000 +90 35 1.31501283433360 1.577195452 1.454260375 0.000000000 +90 40 1.30156738311170 1.497058461 1.536631387 0.000000000 +90 45 1.29213077070242 1.413674430 1.613674430 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.37816825213201 1.295685811 1.495685811 0.7956858114 -40 45 1.38463519826821 1.206542795 1.542024914 0.8420249140 -35 45 1.39354811149794 1.118334865 1.583073704 0.8830737043 -30 45 1.40458479650234 1.030883152 1.619516593 0.9195165929 -25 45 1.41751691401915 0.9438892030 1.651923468 0.9519234678 -20 45 1.43219882327790 0.8569663468 1.680756977 0.9807569772 -15 45 1.44855638662745 0.7696586040 1.706379611 1.006379611 -10 45 1.46657937124288 0.6814511104 1.729060384 1.029060384 -5 45 1.48631553012264 0.5917737198 1.748978417 1.048978417 -0 45 1.50786737080447 0.5000000000 1.766223243 1.066223243 --5 45 1.53139242437921 0.4054429720 1.780791776 1.080791776 --10 45 1.55710317230770 0.3073489201 1.792578567 1.092578567 --15 45 1.58527072832306 0.2048910933 1.801361434 1.101361434 --20 45 1.61622850752773 0.09716543788 1.806778863 1.106778863 --25 45 1.65037535004735 -0.01680780070 1.808297905 1.108297905 --30 45 1.68817890245288 -0.1380716492 1.805172515 1.105172515 --35 45 1.73017275624455 -0.2676994630 1.796388458 1.096388458 --40 45 1.77694550051717 -0.4067283871 1.780596813 1.080596813 --45 45 1.82911524347309 -0.5560401782 1.756040178 1.056040178 - -45 50 1.35699649378243 1.325217254 1.525217254 0.6924394934 -40 50 1.36115344403751 1.235997722 1.577127929 0.7359977220 -35 50 1.36819384431954 1.146723461 1.623616821 0.7750065342 -30 50 1.37781565484956 1.057301283 1.665274137 0.8099611720 -25 50 1.38979489514429 0.9675193170 1.702598411 0.8412799567 -20 50 1.40398054281990 0.8770718385 1.735996362 0.8693041651 -15 50 1.42028816428196 0.7855758681 1.765783649 0.8942986671 -10 50 1.43869517838691 0.6925818561 1.792185980 0.9164528526 -5 50 1.45923761373646 0.5975794996 1.815338784 0.9358803621 -0 50 1.48200614586692 0.5000000000 1.835282573 0.9526151880 --5 50 1.50714680830146 0.3992168034 1.851957209 0.9666068688 --10 50 1.53485907414187 0.2945457705 1.865188837 0.9777095232 --15 50 1.56539766783045 0.1852471145 1.874673761 0.9856683193 --20 50 1.59907223005657 0.07053172226 1.879954395 0.9900992980 --25 50 1.63624604952281 -0.05042412242 1.880388340 0.9904634205 --30 50 1.67733169196099 -0.1784500525 1.875109961 0.9860343351 --35 50 1.72278120941059 -0.3143312664 1.862985575 0.9758607670 --40 50 1.77306427206143 -0.4587245810 1.842563464 0.9587245810 --45 50 1.82863534683611 -0.6120304630 1.812030463 0.9331043513 - -45 55 1.33977619378373 1.348999124 1.548999124 0.5944755868 -40 55 1.34177126862018 1.260039599 1.605779922 0.6342339297 -35 55 1.34698621246805 1.170183308 1.657120956 0.6701833081 -30 55 1.35516014582221 1.079378470 1.703512946 0.7026673297 -25 55 1.36609439019597 0.9874647499 1.745371530 0.7319770253 -20 55 1.37964986498503 0.8941912179 1.783031470 0.7583467995 -15 55 1.39574702000672 0.7992309434 1.816745084 0.7819533260 -10 55 1.41436196060007 0.7021902597 1.846677944 0.8029125403 -5 55 1.43552615924953 0.6026159758 1.872905970 0.8212776021 -0 55 1.45932200828989 0.5000000000 1.895406606 0.8370327170 --5 55 1.48588407605984 0.3937842801 1.914051233 0.8500878254 --10 55 1.51539488655584 0.2833665680 1.928589245 0.8602674505 --15 55 1.54808567039670 0.1681095292 1.938632100 0.8672995332 --20 55 1.58423208076887 0.04735589861 1.943629448 0.8707987140 --25 55 1.62414908612026 -0.07954665046 1.942841803 0.8702471990 --30 55 1.66818021186462 -0.2132055214 1.935308199 0.8649721131 --35 55 1.71668352536492 -0.3541235488 1.919814844 0.8541235488 --40 55 1.77000419464098 -0.5026099899 1.894864057 0.8366528201 --45 55 1.82843824351062 -0.6586580466 1.858658047 0.8113010984 - -45 60 1.32589995042804 1.368005270 1.568005270 0.5011430760 -40 60 1.32595496463558 1.279474405 1.628941422 0.5363245801 -35 60 1.32947874723969 1.189351206 1.684495551 0.5683987715 -30 60 1.33626210479036 1.097594580 1.735064176 0.5975945804 -25 60 1.34614338161449 1.004068211 1.780977767 0.6241028046 -20 60 1.35900905031569 0.9085542409 1.822493552 0.6480719542 -15 60 1.37479615834823 0.8107652812 1.859791819 0.6696061187 -10 60 1.39348913055857 0.7103524603 1.892968084 0.6887604445 -5 60 1.41512144901073 0.6069136398 1.922028495 0.7055384804 -0 60 1.43977102073865 0.5000000000 1.946878280 0.7198855104 --5 60 1.46756148789793 0.3891244703 1.967313104 0.7316835617 --10 60 1.49865690702874 0.2737720656 1.983002371 0.7407417645 --15 60 1.53326010723175 0.1534147950 1.993473594 0.7467873278 --20 60 1.57160581308567 0.02753352169 1.998090981 0.7494531771 --25 60 1.61395262826134 -0.1043503425 1.996033492 0.7482652855 --30 60 1.66056815041686 -0.2426286531 1.986270558 0.7426286531 --35 60 1.71171238304849 -0.3875440834 1.967544314 0.7318170506 --40 60 1.76760983204796 -0.5391051417 1.938357286 0.7149659123 --45 60 1.82841357866943 -0.6969776608 1.896977661 0.6910753747 - -45 65 1.31487983356652 1.382998262 1.582998262 0.4117488515 -40 65 1.31326082035574 1.294951838 1.647386709 0.4417736775 -35 65 1.31528811783905 1.204754145 1.706493227 0.4693354998 -30 65 1.32080613662326 1.112355879 1.760631495 0.4945805887 -25 65 1.32969561682514 1.017626065 1.810052678 0.5176260647 -20 65 1.34187594700266 0.9203631878 1.854938367 0.5385566050 -15 65 1.35730794169462 0.8203052256 1.895395376 0.5574220183 -10 65 1.37599135757254 0.7171372254 1.931446399 0.5742328865 -5 65 1.39796647611415 0.6105002559 1.963023704 0.5889576256 -0 65 1.42331061158745 0.5000000000 1.989957491 0.6015170566 --5 65 1.45213816724198 0.3852178205 2.011966315 0.6117799401 --10 65 1.48459405180413 0.2657248125 2.028640612 0.6195552922 --15 65 1.52085060056481 0.1411010503 2.039429115 0.6245860539 --20 65 1.56109862465145 0.01096195153 2.043620995 0.6265407598 --25 65 1.60553758979838 -0.1250062749 2.040330282 0.6250062749 --30 65 1.65435904674340 -0.2669986236 2.028480585 0.6194806707 --35 65 1.70772807218104 -0.4150302668 2.006798652 0.6093702189 --40 65 1.76575922584243 -0.5688612041 1.973819180 0.5939916387 --45 65 1.82848378900841 -0.7279053689 1.927905369 0.5725816770 - -45 70 1.30633265991977 1.394564951 1.594564951 0.3255950149 -40 70 1.30333019925078 1.306984382 1.661726536 0.3500398328 -35 70 1.30409601899689 1.216817410 1.723721355 0.3726041013 -30 70 1.30852399061918 1.123997095 1.780794673 0.3933770902 -25 70 1.31653701167268 1.028386924 1.833129414 0.4124253784 -20 70 1.32808898900901 0.9297902846 1.880839102 0.4297902846 -15 70 1.34316735379118 0.8279596752 1.923962171 0.4454857980 -10 70 1.36179017261919 0.7226042964 1.962451699 0.4594948407 -5 70 1.38400851273239 0.6134001487 1.996169631 0.4717671642 -0 70 1.40990158322792 0.5000000000 2.024874114 0.4822147416 --5 70 1.43957628972998 0.3820468488 2.048210687 0.4907085597 --10 70 1.47315933354528 0.2591908037 2.065696817 0.4970729903 --15 70 1.51079313879435 0.1311113237 2.076711282 0.5010819279 --20 70 1.55262572012018 -0.002453868465 2.080480658 0.5024538685 --25 70 1.59879991488739 -0.1416720236 2.076070095 0.5008485549 --30 70 1.64943670248269 -0.2865684682 2.062376551 0.4958645123 --35 70 1.70461591548759 -0.4369696303 2.038131310 0.4870399663 --40 70 1.76435787594994 -0.5924393918 2.001918570 0.4738596069 --45 70 1.82859508848807 -0.7522056033 1.952205603 0.4557655668 - -45 75 1.29996511535184 1.403146332 1.603146332 0.2419973303 -40 75 1.29588205051295 1.315965112 1.672429353 0.2605616599 -35 75 1.29564755816017 1.225873602 1.736654938 0.2777708536 -30 75 1.29919686393969 1.132784842 1.796015496 0.2936764671 -25 75 1.30648975332493 1.036551900 1.850639263 0.3083128613 -20 75 1.31751191440291 0.9369767065 1.900583634 0.3216954152 -15 75 1.33227575542643 0.8338187531 1.945828547 0.3338187531 -10 75 1.35081833404267 0.7268036383 1.986267350 0.3446542977 -5 75 1.37320220002072 0.6156338003 2.021700386 0.3541485510 -0 75 1.39950990313001 0.5000000000 2.051822760 0.3622198167 --5 75 1.42984265081120 0.3795966540 2.076216542 0.3687561111 --10 75 1.46431132730324 0.2541407840 2.094336902 0.3736114468 --15 75 1.50303192605679 0.1233961015 2.105504884 0.3766038985 --20 75 1.54611418520894 -0.01279679311 2.108897610 0.3775129768 --25 75 1.59365179739325 -0.1544841992 2.103545895 0.3760789890 --30 75 1.64570550190994 -0.3015548102 2.088333656 0.3720028820 --35 75 1.70228502727244 -0.4536881826 2.062007877 0.3649489107 --40 75 1.76333471343331 -0.6103013624 2.023205638 0.3545518820 --45 75 1.82871156348710 -0.7704911239 1.970491124 0.3404270706 - -45 80 1.29556234898393 1.409062212 1.609062212 0.1602921952 -40 80 1.29070632440660 1.322183539 1.679840186 0.1727722616 -35 80 1.28974835832564 1.232171226 1.745648877 0.1843761094 -30 80 1.29265459368454 1.138920917 1.806643489 0.1951311052 -25 80 1.29941338701838 1.042275136 1.862912781 0.2050528995 -20 80 1.31003552613815 0.9420318031 1.914472398 0.2141442510 -15 80 1.32455386879596 0.8379530555 1.961257974 0.2223938104 -10 80 1.34302142990515 0.7297746755 2.003116940 0.2297746755 -5 80 1.36551085984915 0.6172174770 2.039801893 0.2362432225 -0 80 1.39210819078184 0.5000000000 2.070958939 0.2417370504 --5 80 1.42291062286588 0.3778552423 2.096120969 0.2461737952 --10 80 1.45801663610669 0.2505510397 2.114695354 0.2494489603 --15 80 1.49752132916716 0.1179151933 2.125959911 0.2514352058 --20 80 1.54150538287095 -0.02013429425 2.129057229 0.2519813464 --25 80 1.59002403653344 -0.1635536532 2.122995401 0.2509124827 --30 80 1.64309206308462 -0.3121317884 2.106653520 0.2480309681 --35 80 1.70066746477141 -0.4654439757 2.078796889 0.2431190925 --40 80 1.76263840008445 -0.6228055909 2.038107597 0.2359444724 --45 80 1.82880929865413 -0.7832276490 1.983227649 0.2262676569 - -45 85 1.29297758424805 1.412528701 1.612528701 0.07983591647 -40 85 1.28765787024091 1.325837891 1.684195274 0.08610592916 -35 85 1.28626279123484 1.235882669 1.750949366 0.09194615550 -30 85 1.28877749980389 1.142547054 1.812924145 0.09736824601 -25 85 1.29520822267472 1.045665989 1.870184489 0.1023778770 -20 85 1.30558181806318 0.9450338465 1.922720444 0.1069741775 -15 85 1.31994451518446 0.8404134056 1.970440125 0.1111491087 -10 85 1.33835990999402 0.7315459124 2.013162123 0.1148867992 -5 85 1.36090751965936 0.6181629645 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1.97333881135238 -1.116464521 1.831860643 1.979598102e-16 --90 30 2.05002287700331 -1.275371890 1.725011439 2.174203502e-16 --90 25 2.12887106302471 -1.429412422 1.599699788 2.362848747e-16 --90 20 2.20915982957283 -1.575931190 1.455577162 2.542282487e-16 --90 15 2.29008717191863 -1.712054344 1.292718175 2.708985272e-16 --90 10 2.37078898889067 -1.834771377 1.111683188 2.859270294e-16 --90 5 2.45035192708787 -1.941027598 0.9135622422 2.989396635e-16 --90 -2.84217e-14 2.52783946506970 -2.027839465 0.7000000000 3.095710510e-16 --90 -5 2.60231206857394 -2.092409485 0.4731935588 3.174785978e-16 --90 -10 2.67284056495701 -2.132234111 0.2358661067 3.223557079e-16 --90 -15 2.73852966285942 -2.145216527 -0.008783632326 3.239455953e-16 --90 -20 2.79853942958519 -2.129766851 -0.2571568568 3.220535557e-16 --90 -25 2.85209246475558 -2.084873610 -0.5053463598 3.165557193e-16 --90 -30 2.89848314424408 -2.010160035 -0.7492415721 3.074059453e-16 --90 -35 2.93711060430052 -1.905940156 -0.9846574336 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2.08935962011800 -1.177794005 1.482368193 0.9686748206 +-60 20 2.15548034233634 -1.280350752 1.347994680 1.027885986 +-60 15 2.22131836689580 -1.373926439 1.202117076 1.081911934 +-60 10 2.28660751846398 -1.457568043 1.045172063 1.130202437 +-60 5 2.35110192107943 -1.530294674 0.8776277676 1.172191177 +-60 -2.84217e-14 2.41455306115936 -1.591064290 0.7000000000 1.207276531 +-60 -5 2.47669664854779 -1.638752034 0.5128834429 1.234809062 +-60 -10 2.53724247832284 -1.672136999 0.3169936413 1.254083881 +-60 -15 2.59585284574949 -1.689887479 0.1132214185 1.264332125 +-60 -20 2.65212811795859 -1.690564301 -0.09730020180 1.264722889 +-60 -25 2.70559073860904 -1.672638869 -0.3131181430 1.254373636 +-60 -30 2.75566998979732 -1.634532796 -0.5323730841 1.232373084 +-60 -35 2.80168930482642 -1.574685784 -0.7527106251 1.197820396 +-60 -40 2.84285898841941 -1.491658497 -0.9711999099 1.149884569 +-60 -45 2.87828320366695 -1.384278665 -1.184278665 1.087888794 + +-55 45 1.82844368755962 -0.6586614964 1.858661496 0.8113035140 +-55 40 1.88994733485436 -0.7758332142 1.770551180 0.8933480341 +-55 35 1.95189862040399 -0.8869504049 1.671153129 0.9711531287 +-55 30 2.01395537236888 -0.9913590071 1.561036524 1.044260819 +-55 25 2.07585677502272 -1.088500464 1.440729931 1.112279999 +-55 20 2.13740433764151 -1.177872206 1.310695540 1.174858767 +-55 15 2.19844901340960 -1.258991488 1.171320349 1.231659100 +-55 10 2.25887874460360 -1.331360364 1.022918244 1.282332332 +-55 5 2.31859903520194 -1.394426398 0.8657408337 1.326491645 +-55 -2.84217e-14 2.37751945974310 -1.447549926 0.7000000000 1.363689139 +-55 -5 2.43553687135480 -1.489971217 0.5259000778 1.393392847 +-55 -10 2.49251582157159 -1.520778978 0.3436821441 1.414964674 +-55 -15 2.54827415571969 -1.538888563 0.1536814561 1.427645141 +-55 -20 2.60256311978956 -1.543023983 -0.04359991757 1.430540793 +-55 -25 2.65504461824555 -1.531710308 -0.2474020756 1.422618873 +-55 -30 2.70526765048785 -1.503284349 -0.4565967582 1.402714802 +-55 -35 2.75264378671182 -1.455931714 -0.6695581305 1.369558131 +-55 -40 2.79642576743816 -1.387763119 -0.8840213367 1.321825966 +-55 -45 2.83569005626602 -1.296940702 -1.096940702 1.258231425 + +-50 45 1.82863563228965 -0.6120306366 1.812030637 0.9331044970 +-50 40 1.88726740089729 -0.7161560144 1.720476063 1.020476063 +-50 35 1.94564233794040 -0.8134308412 1.619674176 1.102099334 +-50 30 2.00353144707290 -0.9036399434 1.510391899 1.177793759 +-50 25 2.06079697874688 -0.9866594942 1.393240707 1.247455433 +-50 20 2.11737553235810 -1.062410077 1.268670762 1.311017719 +-50 15 2.17325892463696 -1.130812596 1.136974918 1.368414247 +-50 10 2.22847027898453 -1.191744041 0.9983001188 1.419541801 +-50 5 2.28305064500529 -1.245003628 0.8526680352 1.464231900 +-50 -2.84217e-14 2.33705118909367 -1.290285077 0.7000000000 1.502227548 +-50 -5 2.39050760371637 -1.327136183 0.5401462973 1.533149297 +-50 -10 2.44342822337110 -1.354929444 0.3729258917 1.556470612 +-50 -15 2.49578105298243 -1.372833067 0.1981758922 1.571493536 +-50 -20 2.54747396201581 -1.379779439 0.01581623738 1.577322234 +-50 -25 2.59832817632979 -1.374434645 -0.1740632295 1.572837419 +-50 -30 2.64804987835383 -1.355178558 -0.3710878400 1.556679644 +-50 -35 2.69619670282297 -1.320102202 -0.5744492821 1.527247086 +-50 -40 2.74213869431045 -1.267035484 -0.7827188231 1.482718823 +-50 -45 2.78501546260703 -1.193624724 -0.9936247238 1.421119881 + +-45 45 1.82911145878305 -0.5560379931 1.756037993 1.056037993 +-45 40 1.88443070778406 -0.6459607603 1.661575251 1.145960760 +-45 35 1.93880120396005 -0.7285936502 1.560270535 1.228593650 +-45 30 1.99212768754667 -0.8041537032 1.452953492 1.304153703 +-45 25 2.04441331595945 -0.8729113170 1.340199061 1.372911317 +-45 20 2.09572735850488 -0.9351353986 1.222346567 1.435135399 +-45 15 2.14618358342856 -0.9910537274 1.099526642 1.491053727 +-45 10 2.19592556666921 -1.040823532 0.9716887611 1.540823532 +-45 5 2.24510891854186 -1.084502585 0.8386260135 1.584502585 +-45 -2.84217e-14 2.29389378655767 -1.122027852 0.7000000000 1.622027852 +-45 -5 2.34242976477719 -1.153187508 0.5553648344 1.653187508 +-45 -10 2.39084733905631 -1.177595041 0.4041947316 1.677595041 +-45 -15 2.43924974799700 -1.194660446 0.2459171020 1.694660446 +-45 -20 2.48769388148626 -1.203550577 0.07995829749 1.703550577 +-45 -25 2.53616749075815 -1.203145358 -0.09418972360 1.703145358 +-45 -30 2.58456088092777 -1.191992268 -0.2768721913 1.691992268 +-45 -35 2.63262814098915 -1.168262951 -0.4681302938 1.668262951 +-45 -40 2.67993559898905 -1.129723515 -0.6675004003 1.629723515 +-45 -45 2.72579643221706 -1.073739304 -0.8737393039 1.573739304 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.98915236411189 -1.613649907 -1.413649907 2.588474593e-16 --40 -90 3.00187823359516 -1.429570134 -1.599572140 2.816163660e-16 --35 -90 3.00547666376747 -1.223870594 -1.761942353 3.015009823e-16 --30 -90 2.99990084605891 -0.9999504230 -1.897990342 3.181620556e-16 --25 -90 2.98522642358350 -0.7616112020 -2.005533954 3.313323496e-16 --20 -90 2.96164881173695 -0.5129435511 -2.083039534 3.408240457e-16 --15 -90 2.92948239041082 -0.2582058349 -2.129662699 3.465337366e-16 --10 -90 2.88914532225474 -0.001694820224 -2.145252713 3.484429628e-16 --5 -90 2.84116974743864 0.2523757404 -2.130358239 3.466189158e-16 --2.84217e-14 -90 2.78618212969483 0.5000000000 -2.086182130 3.412089027e-16 -5 -90 2.72488908688055 0.7374897323 -2.014520061 3.324328304e-16 -10 -90 2.65808920856589 0.9615723471 -1.917706861 3.205766328e-16 -15 -90 2.58663834353622 1.169471266 -1.798500779 3.059780982e-16 -20 -90 2.51143825690655 1.358962473 -1.659979998 2.890141950e-16 -25 -90 2.43342197080656 1.528408563 -1.505429281 2.700871910e-16 -30 -90 2.35353260390010 1.676766302 -1.338219024 2.496098403e-16 -35 -90 2.27270258597782 1.803568650 -1.161688969 2.279911437e-16 -40 -90 2.19183499046683 1.908884374 -0.9790430147 2.056234654e-16 -45 -90 2.11178431353291 1.993257009 -0.7932570085 1.828712416e-16 - --45 -85 2.98622299142565 -1.607549443 -1.407549443 0.1843866840 --40 -85 2.99840165611963 -1.423021447 -1.591767718 0.2005036948 --35 -85 3.00149079684223 -1.217180247 -1.752387547 0.2145561089 --30 -85 2.99547155147926 -0.9934551715 -1.886740236 0.2263104461 --25 -85 2.98044371594556 -0.7556488902 -1.992747735 0.2355849005 --20 -85 2.95662234452223 -0.5078242485 -2.068974365 0.2422538666 --15 -85 2.92433582795483 -0.2541855789 -2.114658899 0.2462507454 --10 -85 2.88400833162066 0.001045768362 -2.129710063 0.2475675516 --5 -85 2.83617036026305 0.2537449880 -2.114707667 0.2462550120 --2.84217e-14 -85 2.78143906433170 0.5000000000 -2.070854849 0.2424183876 -5 -85 2.72050708912861 0.7362123641 -1.999919677 0.2362123641 -10 -85 2.65415063799154 0.9591871936 -1.904179983 0.2278362263 -15 -85 2.58319998603416 1.166206719 -1.786317323 0.2175245797 -20 -85 2.50852985848944 1.355082904 -1.649320970 0.2055389518 -25 -85 2.43104614743508 1.524189915 -1.496382361 0.1921585574 -30 -85 2.35166788981173 1.672473352 -1.330783417 0.1776705270 -35 -85 2.27130498572251 1.799434288 -1.155784488 0.1623601047 -40 -85 2.19084492337833 1.905095867 -0.9745280475 0.1465022209 -45 -85 2.11113224367333 1.989947534 -0.7899475344 0.1303535185 - --45 -80 2.97738215825029 -1.589151182 -1.389151182 0.3683737201 --40 -80 2.98793555660668 -1.403323307 -1.568292389 0.3999611483 --35 -80 2.98952035603838 -1.197106858 -1.723719777 0.4273671903 --30 -80 2.98219892592841 -0.9740126870 -1.853064865 0.4501742192 --25 -80 2.96614076736924 -0.7378388608 -1.954554003 0.4680694925 --20 -80 2.94161742609155 -0.4925596893 -2.027035334 0.4808499067 --15 -80 2.90899238134327 -0.2422143312 -2.069981594 0.4884224911 --10 -80 2.86870966634555 0.009198574265 -2.083473203 0.4908014257 --5 -80 2.82129156115680 0.2578161490 -2.068174084 0.4881037782 --2.84217e-14 -80 2.76732758866084 0.5000000000 -2.025285664 0.4805413928 -5 -80 2.70746699093530 0.7324129811 -1.956492530 0.4684113070 -10 -80 2.64242196524184 0.9520863450 -1.863909069 0.4520863450 -15 -80 2.57295058697467 1.156475009 -1.749998087 0.4320007654 -20 -80 2.49984830904604 1.343498083 -1.617491937 0.4086363561 -25 -80 2.42394289314240 1.511567200 -1.469312860 0.3825083868 -30 -80 2.34608054216437 1.659598192 -1.308482986 0.3541497407 -35 -80 2.26710768009954 1.787003778 -1.138031880 0.3240946118 -40 -80 2.18786420724026 1.893675619 -0.9609179263 0.2928646432 -45 -80 2.10916408635956 1.979945270 -0.7799452703 0.2609542811 - --45 -75 2.96247302973429 -1.558168037 -1.358168037 0.5514844634 --40 -75 2.97037397084827 -1.370325720 -1.528967396 0.5972500136 --35 -75 2.96953116444949 -1.163650173 -1.675938678 0.6366308500 --30 -75 2.96013265340590 -0.9417576926 -1.797197576 0.6691220738 --25 -75 2.94245642603280 -0.7084140594 -1.891452313 0.6943775546 --20 -75 2.91685746068964 -0.4674286454 -1.957988358 0.7122058341 --15 -75 2.88374665623069 -0.2225596571 -1.996629352 0.7225596571 --10 -75 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-1.562947554 1.306513380 +-20 -60 2.78848936047663 -0.3382940156 -1.603193879 1.329749606 +-15 -60 2.75422306033954 -0.1225773171 -1.623490179 1.341467680 +-10 -60 2.71567895414990 0.09005797966 -1.624896727 1.342279751 +-5 -60 2.67321448374862 0.2980363519 -1.608455061 1.332787151 +-2.84217e-14 -60 2.62712875294806 0.5000000000 -1.575160239 1.313564376 +5 -60 2.57767568775108 0.6947456101 -1.525952509 1.285154280 +10 -60 2.52507600268368 0.8811697831 -1.461721261 1.248070352 +15 -60 2.46952999135913 1.058223979 -1.383320253 1.202805509 +20 -60 2.41123214898938 1.224880471 -1.291592726 1.149846596 +25 -60 2.35039250210991 1.380112891 -1.187408186 1.089695624 +30 -60 2.28724794549749 1.522888378 -1.071694640 1.022888378 +35 -60 2.22208753960922 1.652179927 -0.9454834661 0.9500203221 +40 -60 2.15526179817136 1.766989794 -0.8099396383 0.8717640566 +45 -60 2.08720364085688 1.866395525 -0.6663955250 0.7888888242 + +-45 -55 2.83568999990296 -1.296940667 -1.096940667 1.258231400 +-40 -55 2.82524813852393 -1.100347624 -1.207220030 1.335449842 +-35 -55 2.80869703842733 -0.8974470230 -1.295761180 1.397447023 +-30 -55 2.78684308514846 -0.6914731162 -1.363691973 1.445012676 +-25 -55 2.76037585300792 -0.4849875195 -1.412312552 1.479057172 +-20 -55 2.72986627651640 -0.2799727595 -1.442957544 1.500515027 +-15 -55 2.69577276164585 -0.07794042547 -1.456903032 1.510279762 +-10 -55 2.65845070255120 0.1199609061 -1.455308804 1.509163472 +-5 -55 2.61816647031332 0.3128451332 -1.439189917 1.497876905 +-2.84217e-14 -55 2.57511220823791 0.5000000000 -1.409408430 1.477023684 +5 -55 2.52942089517907 0.6808110508 -1.366679768 1.447104753 +10 -55 2.48118344599634 0.8546978350 -1.311591383 1.408531450 +15 -55 2.43046114804932 1.021060888 -1.244625709 1.361641581 +20 -55 2.37729934173894 1.179237933 -1.166190884 1.306720925 +25 -55 2.32174458346771 1.328470310 -1.076660313 1.244030944 +30 -55 2.26386907335531 1.467883392 -0.9764232116 1.173844170 +35 -55 2.20378567195428 1.596477721 -0.8659324712 1.096477721 +40 -55 2.14167565037282 1.713141420 -0.7457656457 1.012336004 +45 -55 2.07781013226516 1.816681839 -0.6166818391 0.9219505491 + +-45 -50 2.78501548586065 -1.193624738 -0.9936247380 1.421119893 +-40 -50 2.76919303303459 -0.9973475424 -1.084469313 1.497347542 +-35 -50 2.74849237016463 -0.7991686119 -1.155405064 1.556869705 +-30 -50 2.72376052995890 -0.6017114166 -1.208220149 1.601186823 +-25 -50 2.69566809754527 -0.4068078406 -1.244655690 1.631759872 +-20 -50 2.66472576232526 -0.2156744782 -1.266299468 1.649921159 +-15 -50 2.63130523152102 -0.02907381386 -1.274530354 1.656827692 +-10 -50 2.59566239464950 0.1525480245 -1.270498072 1.653444205 +-5 -50 2.55795777472118 0.3289488722 -1.255123337 1.640543271 +-2.84217e-14 -50 2.51827441603482 0.5000000000 -1.229110123 1.618715592 +5 -50 2.47663473399923 0.6656130405 -1.192965714 1.588386833 +10 -50 2.43301518070048 0.8256802320 -1.147024379 1.549837475 +15 -50 2.38735930868925 0.9800238602 -1.091473435 1.503224699 +20 -50 2.33958572958055 1.128350512 -1.026378842 1.448603850 +25 -50 2.28960601207635 1.270210801 -0.9517223923 1.385959650 +30 -50 2.23734298886233 1.404964400 -0.8674443198 1.315241951 +35 -50 2.18274880054018 1.531750628 -0.7734926030 1.236407100 +40 -50 2.12583054250547 1.649471019 -0.6698862168 1.149471019 +45 -50 2.06668421551931 1.756792837 -0.5567928368 1.054574406 + +-45 -45 2.72579622456885 -1.073739184 -0.8737391840 1.573739184 +-40 -45 2.70496401125944 -0.8802717384 -0.9449438030 1.644943803 +-35 -45 2.68069263683136 -0.6894571165 -0.9987208101 1.698720810 +-30 -45 2.65377035266699 -0.5030309128 -1.037300503 1.737300503 +-25 -45 2.62476384852956 -0.3219332844 -1.062641617 1.762641617 +-20 -45 2.59405952408973 -0.1465526549 -1.076388820 1.776388820 +-15 -45 2.56190285210578 0.02308439415 -1.079873272 1.779873272 +-10 -45 2.52842998367944 0.1871724523 -1.074133184 1.774133184 +-5 -45 2.49369067132517 0.3460251109 -1.059941036 1.759941036 +-2.84217e-14 -45 2.45766489209076 0.5000000000 -1.037831511 1.737831511 +5 -45 2.42028005040387 0.6494420926 -1.008130935 1.708130935 +10 -45 2.38142164099883 0.7946390830 -0.9709812750 1.670981275 +15 -45 2.34093989406642 0.9357818513 -0.9263600102 1.626360010 +20 -45 2.29865870474440 1.072925900 -0.8741009741 1.574100974 +25 -45 2.25438825002226 1.205951791 -0.8139185003 1.513918500 +30 -45 2.20792929790519 1.334518834 -0.7454290195 1.445429020 +35 -45 2.15909473536098 1.458017552 -0.6681908576 1.368190858 +40 -45 2.10773395448778 1.575521004 -0.5817560206 1.281756021 +45 -45 2.05375918272006 1.685738417 -0.4857384170 1.185738417 diff --git a/test/Kerr.par b/test/Kerr.par index dc59a13..75732c1 100644 --- a/test/Kerr.par +++ b/test/Kerr.par @@ -48,8 +48,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/Kerr/BH_diagnostics.ah1.gp b/test/Kerr/BH_diagnostics.ah1.gp index de9ded9..fbe5cda 100644 --- a/test/Kerr/BH_diagnostics.ah1.gp +++ b/test/Kerr/BH_diagnostics.ah1.gp @@ -40,4 +40,4 @@ # column 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000026 -0.000015 0.000000 1.037139320 2.757524590 1.996579363 1.199949913 6.283368716e-06 0.000000000 1.199974249 0.000000000 1.079996592 -1.896328144 1.896647535 -1.896824246 1.896373563 -1.799355580 1.799355580 12.56610970 10.83742075 11.22769627 0.8624324474 0.8934902314 45.23801158 0.9486736240 1.897347248 -1.177569292e-16 -1.470481275 1.743438634e-16 0.7352406373 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 +0 0.000 0.000039 0.000009 0.000000 1.037097639 2.757422636 1.996522276 1.199884718 5.616836893e-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 -8.847120677e-16 -1.470552902 1.379649023e-15 0.7352764510 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071575689 0.7479030207 33.19249618 diff --git a/test/Kerr/h.t0.ah1.gp b/test/Kerr/h.t0.ah1.gp index bd9d60a..d80bfe9 100644 --- a/test/Kerr/h.t0.ah1.gp +++ b/test/Kerr/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45809562013434 -0.9191821680 -0.7191821680 1.419182168 --40 -45 2.43573429203345 -0.7428909189 -0.7812197178 1.481219718 --35 -45 2.41003745132097 -0.5693639988 -0.8272100633 1.527210063 --30 -45 2.38181144916309 -0.4002401092 -0.8592616081 1.559261608 --25 -45 2.35162920291506 -0.2364023683 -0.8792199752 1.579219975 --20 -45 2.31987692593572 -0.07821440551 -0.8886310227 1.588631023 --15 -45 2.28679517811159 0.07429755506 -0.8887431534 1.588743153 --10 -45 2.25251342933920 0.2213099604 -0.8805297547 1.580529755 --5 -45 2.21707570291335 0.3631049194 -0.8647179313 1.564717931 -0 -45 2.18045705242002 0.5000000000 -0.8418159679 1.541815968 -5 -45 2.14257859859218 0.6322951984 -0.8121410370 1.512141037 -10 -45 2.10332348339740 0.7602316582 -0.7758470720 1.475847072 -15 -45 2.06254112440198 0.8839560306 -0.7329434142 1.432943414 -20 -45 2.02005677401388 1.003486161 -0.6833168575 1.383316857 -25 -45 1.97568052568534 1.118675689 -0.6267542973 1.326754297 -30 -45 1.92922058538590 1.229176842 -0.5629713378 1.262971338 -35 -45 1.88049870463158 1.334400981 -0.4916480983 1.191648098 -40 -45 1.82937686093118 1.433482726 -0.4124813928 1.112481393 -45 -45 1.77578645709038 1.525250789 -0.3252507890 1.025250789 - --45 -40 2.41011095338138 -0.9656376428 -0.5298160055 1.465637643 --40 -40 2.38616711544268 -0.7902392225 -0.5902392225 1.537647229 --35 -40 2.35874586607719 -0.6149416407 -0.6360997540 1.592301682 --30 -40 2.32863702032279 -0.4418911693 -0.6689099580 1.631403360 --25 -40 2.29642985019046 -0.2725063021 -0.6900903016 1.656645111 --20 -40 2.26254647195484 -0.1076598157 -0.7009033686 1.669531622 --15 -40 2.22727345212077 0.05216443699 -0.7024250357 1.671345075 --10 -40 2.19079300046574 0.2067433124 -0.6955412689 1.663141321 --5 -40 2.15320376975726 0.3560148503 -0.6809547566 1.645757792 -0 -40 2.11453837054117 0.5000000000 -0.6591990648 1.619830369 -5 -40 2.07477992512801 0.6387409322 -0.6306577142 1.585816111 -10 -40 2.03387946114563 0.7722524463 -0.5955869054 1.544020349 -15 -40 1.99176113878518 0.9004813464 -0.5541323489 1.494616732 -20 -40 1.94833695465424 1.023271495 -0.5063539188 1.437676617 -25 -40 1.90351724882621 1.140332676 -0.4522498134 1.373197855 -30 -40 1.85722440544980 1.251213371 -0.3917858648 1.301139727 -35 -40 1.80940843249387 1.355278576 -0.3249303226 1.221464394 -40 -40 1.76007029305140 1.451698526 -0.2516985260 1.134190137 -45 -40 1.70928383374803 1.539450373 -0.1722024245 1.039450373 - --45 -35 2.36090393474113 -0.9960747791 -0.3475628381 1.496074779 --40 -35 2.33484817847773 -0.8225630288 -0.4036455840 1.576169241 --35 -35 2.30532386869389 -0.6469973206 -0.4469973206 1.638081937 --30 -35 2.27309289849824 -0.4718269011 -0.4786268376 1.683253569 --25 -35 2.23874970188411 -0.2988551679 -0.4995608495 1.713150436 --20 -35 2.20274320838263 -0.1293640510 -0.5107733307 1.729163519 --15 -35 2.16540163782541 0.03576460090 -0.5131446376 1.732550096 --10 -35 2.12695499705400 0.1959409294 -0.5074411553 1.724404679 --5 -35 2.08755379456013 0.3507750149 -0.4943085563 1.705649384 -0 -35 2.04728686244971 0.5000000000 -0.4742755028 1.677039219 -5 -35 2.00619813810114 0.6434094240 -0.4477642436 1.639177217 -10 -35 1.96430382871010 0.7808072561 -0.4151064727 1.592537086 -15 -35 1.92159854592863 0.9119670237 -0.3765563907 1.537481864 -20 -35 1.87806956722951 1.036598849 -0.3323112275 1.474293222 -25 -35 1.83370926261868 1.154324206 -0.2825331697 1.403202788 -30 -35 1.78852709735666 1.264658034 -0.2273734647 1.324426565 -35 -35 1.74256200655129 1.366999201 -0.1669992011 1.238203181 -40 -35 1.69589970853230 1.460633876 -0.1016248086 1.144838873 -45 -35 1.64868554816703 1.544751051 -0.03154256151 1.044751051 - --45 -30 2.31116737519363 -1.013014206 -0.1735391590 1.513014206 --40 -30 2.28256681444989 -0.8418271783 -0.2232566120 1.599127360 --35 -30 2.25062325177565 -0.6669760474 -0.2622203394 1.666614516 --30 -30 2.21607164504963 -0.4910573683 -0.2910573683 1.716561715 --25 -30 2.17950903717612 -0.3161249656 -0.3104701485 1.750185637 --20 -30 2.14140823541667 -0.1437642309 -0.3211754068 1.768727688 --15 -30 2.10213450627256 0.02482379513 -0.3238624244 1.773381739 --10 -30 2.06196161529633 0.1887390871 -0.3191666138 1.765248357 --5 -30 2.02108859298049 0.3473050225 -0.3076561101 1.745311579 -0 -30 1.97965578298033 0.5000000000 -0.2898278915 1.714432199 -5 -30 1.93776123956485 0.6463995244 -0.2661115102 1.673354221 -10 -30 1.89547721814163 0.7861294628 -0.2368783025 1.622720820 -15 -30 1.85285636623742 0.9188282213 -0.2024493940 1.563088202 -20 -30 1.80994451463695 1.044117427 -0.1631099831 1.494950343 -25 -30 1.76679102937184 1.161581229 -0.1191246576 1.418765525 -30 -30 1.72346015873251 1.270754814 -0.07075481429 1.334986499 -35 -30 1.68003942551041 1.371121262 -0.01827575094 1.244090094 -40 -30 1.63665142292197 1.462120078 0.03800437380 1.146610059 -45 -30 1.59345957762933 1.543164162 0.09772889048 1.043164162 - --45 -25 2.26132760598159 -1.018578576 -0.008124819403 1.518578576 --40 -25 2.22986205256692 -0.8497950364 -0.05011326308 1.608623084 --35 -25 2.19527116235582 -0.6762642952 -0.08334067966 1.679879509 --30 -25 2.15827037502249 -0.5006234198 -0.1081720725 1.733130602 --25 -25 2.11946093956800 -0.3250671894 -0.1250671894 1.769362298 --20 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1.524622866 0.8246228656 +20 45 1.17171285180222 0.7920418935 1.502378508 0.8023785078 +25 45 1.15809055819616 0.8626509778 1.477707532 0.7777075316 +30 45 1.14613280362241 0.9331974811 1.450320047 0.7503200470 +35 45 1.13596543253159 1.004042183 1.419846839 0.7198468386 +40 45 1.12778983280499 1.075481384 1.385832007 0.6858320070 +45 45 1.12189697639882 1.147727521 1.347727521 0.6477275213 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.77578670786520 1.525250934 -0.3252509338 1.025250934 -45 -40 1.70928404813278 1.539450503 -0.1722025339 1.039450503 -45 -35 1.64868566413252 1.544751125 -0.03154261297 1.044751125 -45 -30 1.59345971995109 1.543164255 0.09772883669 1.043164255 -45 -25 1.54303129990317 1.536211767 0.2168065177 1.036211767 -45 -20 1.49683908827955 1.525022054 0.3269224829 1.025022054 -45 -15 1.45436067397215 1.510412120 0.4292608885 1.010412120 -45 -10 1.41512983197494 1.492959588 0.5249144339 0.9929595878 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1.04427654380408 1.237006062 1.437006062 0.06447967539 + +90 -45 1.83841591649011 1.799956361 -0.5999563612 0.000000000 +90 -40 1.75934330277385 1.847735161 -0.4308840762 0.000000000 +90 -35 1.68303682650391 1.878663057 -0.2653502652 0.000000000 +90 -30 1.61011535154698 1.894400797 -0.1050576758 0.000000000 +90 -25 1.54107212950301 1.896685671 0.04871477541 0.000000000 +90 -20 1.47628191203022 1.887251219 0.1950818489 0.000000000 +90 -15 1.41601397311666 1.867764467 0.3335086156 0.000000000 +90 -10 1.36042044909242 1.839752606 0.4637654682 0.000000000 +90 -5 1.30956743385519 1.804584134 0.5858636776 0.000000000 +90 0 1.26345137362301 1.763451374 0.7000000000 0.000000000 +90 5 1.22200541952467 1.717355320 0.8065047900 0.000000000 +90 10 1.18512822058689 1.667123460 0.9057953558 0.000000000 +90 15 1.15268720145516 1.613410338 0.9983374008 0.000000000 +90 20 1.12454041108593 1.556722326 1.084615473 0.000000000 +90 25 1.10054399697077 1.497431594 1.165109991 0.000000000 +90 30 1.08055683200925 1.435789667 1.240278416 0.000000000 +90 35 1.06445609488721 1.371951386 1.310546934 0.000000000 +90 40 1.05213486256816 1.305982065 1.376299253 0.000000000 +90 45 1.04350448187487 1.237869095 1.437869095 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12197172573800 1.147770678 1.347770678 0.6477706779 -40 45 1.12786899447015 1.075521778 1.385880147 0.6858801468 -35 45 1.13604755317133 1.004078621 1.419898877 0.7198988774 -30 45 1.14621689619982 0.9332292651 1.450375099 0.7503750985 -25 45 1.15817506078718 0.8626774394 1.477764279 0.7777642787 -20 45 1.17179627939638 0.7920626872 1.502435638 0.8024356383 -15 45 1.18702276359609 0.7209723448 1.524680018 0.8246800180 -10 45 1.20385692070720 0.6489460300 1.544714912 0.8447149122 -5 45 1.22235603404268 0.5754753334 1.562687008 0.8626870081 -0 45 1.24263182637139 0.5000000000 1.578673391 0.8786733909 --5 45 1.26485078735755 0.4219007947 1.592678001 0.8926780014 --10 45 1.28923440160118 0.3404907240 1.604622057 0.9046220573 --15 45 1.31606534569707 0.2550055026 1.614331912 0.9143319119 --20 45 1.34569162226869 0.1645950168 1.621517618 0.9215176177 --25 45 1.37853228264267 0.06831866329 1.625743614 0.9257436140 --30 45 1.41508255608322 -0.03485093257 1.626388990 0.9263889897 --35 45 1.45591362353287 -0.1460072284 1.622593936 0.9225939356 --40 45 1.50166520962795 -0.2662601206 1.613193252 0.9131932516 --45 45 1.55302060477087 -0.3966368642 1.596636864 0.8966368642 - -45 50 1.10258260946491 1.170502980 1.370502980 0.5626188034 -40 50 1.10634611911943 1.098219273 1.412929968 0.5982192728 -35 50 1.11278121973518 1.025993977 1.451197250 0.6303293353 -30 50 1.12161687324869 0.9536735520 1.485785642 0.6593524424 -25 50 1.13265711487705 0.8810195897 1.517099147 0.6856275929 -20 50 1.14577424225682 0.8077244925 1.545466095 0.7094302882 -15 50 1.16090363069239 0.7334216890 1.571141603 0.7309745977 -10 50 1.17804024653966 0.6576909277 1.594309691 0.7504149320 -5 50 1.19723427262113 0.5800592858 1.615081824 0.7678448212 -0 50 1.21859096038659 0.5000000000 1.633494834 0.7832951706 --5 50 1.24227103498447 0.4169290972 1.649504763 0.7967290968 --10 50 1.26848909906359 0.3302017072 1.662973971 0.8080311040 --15 50 1.29751800280945 0.2391094009 1.673656971 0.8169952053 --20 50 1.32968947870489 0.1428807657 1.681177032 0.8233052859 --25 50 1.36539471759394 0.04068876780 1.684996116 0.8265098778 --30 50 1.40508293576966 -0.06833040005 1.684377128 0.8259904854 --35 50 1.44925101593230 -0.1850378961 1.678335506 0.8209209621 --40 50 1.49842788274923 -0.3102242353 1.665587643 0.8102242353 --45 50 1.55313585679049 -0.4444936022 1.644493602 0.7925242333 - -45 55 1.08685587401379 1.188726736 1.388726736 0.4822516525 -40 55 1.08863563668376 1.116652191 1.434897464 0.5145807441 -35 55 1.09338500654782 1.044005851 1.476920872 0.5440058509 -30 55 1.10087072531701 0.9706608279 1.515208467 0.5708151138 -25 55 1.11092021663657 0.8964107088 1.550105508 0.5952502853 -20 55 1.12341935167935 0.8209814705 1.581889342 0.6175055654 -15 55 1.13830994411994 0.7440396100 1.610768224 0.6377267757 -10 55 1.15558969466474 0.6651974438 1.636881260 0.6560113204 -5 55 1.17530863028067 0.5840147992 1.660293549 0.6724047816 -0 55 1.19756908620763 0.5000000000 1.680991165 0.6868974088 --5 55 1.22252621536802 0.4126099377 1.698872983 0.6994183925 --10 55 1.25038484870561 0.3212511052 1.713735357 0.7098251389 --15 55 1.28140152588211 0.2252833200 1.725256607 0.7178924051 --20 55 1.31588202750222 0.1240284204 1.732973425 0.7232957792 --25 55 1.35417748232511 0.01678757159 1.736252397 0.7255917397 --30 55 1.39667717686748 -0.09712845591 1.734256824 0.7241944248 --35 55 1.44379082273637 -0.2183477461 1.725906902 0.7183477461 --40 55 1.49592783539723 -0.3473608122 1.709845292 0.7071012860 --45 55 1.55345464698415 -0.4844044409 1.684404441 0.6892874102 - -45 60 1.07421197039024 1.203236810 1.403236810 0.4060139613 -40 60 1.07422079555468 1.131490237 1.452580759 0.4345027037 -35 60 1.07741809639560 1.058654635 1.497841504 0.4606340069 -30 60 1.08361722418407 0.9846083550 1.539366293 0.4846083550 -25 60 1.09267901960009 0.9091575727 1.577441246 0.5065909397 -20 60 1.10451451914998 0.8320464208 1.612290043 0.5267109021 -15 60 1.11908226900237 0.7529625311 1.644069019 0.5450585021 -10 60 1.13639084981734 0.6715425014 1.672865870 0.5616843717 -5 60 1.15649611728618 0.5873742741 1.698692522 0.5765953966 -0 60 1.17950116841298 0.5000000000 1.721477976 0.5897505842 --5 60 1.20555590296021 0.4089192170 1.741058113 0.6010551818 --10 60 1.23485333792620 0.3135942132 1.757159750 0.6103514661 --15 60 1.26763008793239 0.2134590329 1.769385448 0.6174099760 --20 60 1.30415946227484 0.1079350031 1.777189726 0.6219157783 --25 60 1.34474470514915 -0.003544471470 1.779854604 0.6234543462 --30 60 1.38970733797337 -0.1214960153 1.776462675 0.6214960153 --35 60 1.43936619484634 -0.2463292097 1.765868573 0.6153795076 --40 60 1.49401196539551 -0.3782682054 1.746679289 0.6043005693 --45 60 1.55386915072089 -0.5172461433 1.717246143 0.5873073347 - -45 65 1.06418916122687 1.214648712 1.414648712 0.3332461673 -40 65 1.06267602148050 1.143266169 1.466614767 0.3574783369 -35 65 1.06450660268188 1.070381067 1.514588584 0.3798488952 -30 65 1.06954180287811 0.9958639978 1.558861638 0.4004937590 -25 65 1.07768068246030 0.9195212826 1.599666294 0.4195212826 -20 65 1.08886461442350 0.8411035137 1.637174202 0.4370115072 -15 65 1.10307556820514 0.7603100283 1.671490251 0.4530133440 -10 65 1.12033872883147 0.6767941650 1.702649534 0.4675431561 -5 65 1.14071973053872 0.5901665557 1.730608447 0.4805806115 -0 65 1.16432485901735 0.5000000000 1.755236686 0.4920649480 --5 65 1.19130095225891 0.4058353242 1.776307170 0.5018902758 --10 65 1.22182891967774 0.3071902559 1.793478397 0.5098973503 --15 65 1.25612296314192 0.2035729795 1.806280701 0.5158671631 --20 65 1.29442072915212 0.09450288580 1.814094165 0.5195106410 --25 65 1.33697458655663 -0.02045963380 1.816129287 0.5204596338 --30 65 1.38403674483382 -0.1416710329 1.811406831 0.5182575165 --35 65 1.43583791191601 -0.2693468117 1.798741116 0.5123513965 --40 65 1.49255934561135 -0.4034860223 1.776732713 0.5020887098 --45 65 1.55430296262547 -0.5437811722 1.743781172 0.4867231540 - -45 70 1.05642658708578 1.223431502 1.423431502 0.2633075333 -40 70 1.05365973885468 1.152395651 1.477494860 0.2829849865 -35 70 1.05434278364921 1.079536516 1.527663920 0.3012450307 -30 70 1.05837996253111 1.004710672 1.574184526 0.3181771469 -25 70 1.06570787634624 0.9277176420 1.617243443 0.3338493109 -20 70 1.07629934361426 0.8483072332 1.656966258 0.3483072332 -15 70 1.09016184335840 0.7661836018 1.693410726 0.3615719347 -10 70 1.10733943285662 0.6810106434 1.726562371 0.3736381467 -5 70 1.12791011795908 0.5924164656 1.756325036 0.3844708706 -0 70 1.15198571696923 0.5000000000 1.782512477 0.3940023200 --5 70 1.17971113933078 0.4033391649 1.804838401 0.4021282916 --10 70 1.21125540109750 0.3020027889 1.822897984 0.4087014422 --15 70 1.24681049159866 0.1955676724 1.836156914 0.4135272982 --20 70 1.28657882905667 0.08364304973 1.843931319 0.4163569503 --25 70 1.33076355094196 -0.03409668882 1.845374045 0.4168820596 --30 70 1.37955177552757 -0.1578681833 1.839461118 0.4147299301 --35 70 1.43309469661452 -0.2877236132 1.824985908 0.4094613845 --40 70 1.49147918286241 -0.4234807936 1.800561553 0.4005716464 --45 70 1.55470636775016 -0.5646490507 1.764649051 0.3875005644 - -45 75 1.05065004022135 1.229935533 1.429935533 0.1955856367 -40 75 1.04690591802883 1.159194796 1.485597767 0.2105002871 -35 75 1.04668140865433 1.086392804 1.537455714 0.2243955823 -30 75 1.04991682270890 1.011370885 1.585720355 0.2373280538 -25 75 1.05658136773507 0.9339190101 1.630542320 0.2493380632 -20 75 1.06667639439582 0.8537825599 1.672009595 0.2604491859 -15 75 1.08023342290661 0.7706663188 1.710140453 0.2706663188 -10 75 1.09731406987730 0.6842400396 1.744877187 0.2799739985 -5 75 1.11800974962157 0.5941447051 1.776078903 0.2883344732 -0 75 1.14243840754997 0.5000000000 1.803510763 0.2956848177 --5 75 1.17074373217085 0.4014147028 1.826835103 0.3019345559 --10 75 1.20308471847209 0.2980009714 1.845593418 0.3069608313 --15 75 1.23963309964851 0.1893940508 1.859197184 0.3106059492 --20 75 1.28055996908582 0.07527907588 1.866911149 0.3126728999 --25 75 1.32602508436062 -0.04457471006 1.867844234 0.3129229195 --30 75 1.37615964328185 -0.1702702156 1.860942068 0.3110734897 --35 75 1.43104856535261 -0.3017306641 1.844990050 0.3067991592 --40 75 1.49070338514475 -0.4386363161 1.818623202 0.2997341836 --45 75 1.55504676729028 -0.5803634398 1.780363440 0.2894825112 - -45 80 1.04665934203308 1.234413483 1.434413483 0.1294969120 -40 80 1.04221744960934 1.163895430 1.491199764 0.1395098656 -35 80 1.04133798506675 1.091152301 1.544252980 0.1488645789 -30 80 1.04398809926153 1.016012426 1.593759740 0.1575939564 -25 80 1.05016203795842 0.9382568066 1.639844755 0.1657199879 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0.000000000 +-35 90 1.42855664646691 -0.3193864304 1.870205097 0.000000000 +-40 90 1.48980818130864 -0.4576302398 1.841259279 0.000000000 +-45 90 1.55553009336403 -0.5999258774 1.799925877 0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.55551342544463 -0.5999140914 1.799914091 1.347006271e-16 --90 40 1.62543526979193 -0.7451556561 1.744809652 1.524875889e-16 --90 35 1.69914468650940 -0.8918578435 1.674589354 1.704534253e-16 --90 30 1.77611453103219 -1.038160304 1.588057266 1.883703093e-16 --90 25 1.85570115026385 -1.181836403 1.484253194 2.059655567e-16 --90 20 1.93714659709538 -1.320322363 1.362543157 2.229251955e-16 --90 15 2.01959870322327 -1.450782546 1.222710608 2.389019601e-16 --90 10 2.10212117389390 -1.570185230 1.065029511 2.535245715e-16 --90 5 2.18372948394316 -1.675419734 0.8903245651 2.664120814e-16 --90 -2.84217e-14 2.26341325758723 -1.763413258 0.7000000000 2.771881801e-16 --90 -5 2.34015308612924 -1.831248097 0.4960422196 2.854955520e-16 --90 -10 2.41295647178008 -1.876298241 0.2809945059 2.910126035e-16 --90 -15 2.48086144828431 -1.896328144 0.05790580892 2.934655592e-16 --90 -20 2.54295936266411 -1.889600148 -0.1697433257 2.926416173e-16 --90 -25 2.59841953864425 -1.854967862 -0.3981395487 2.884003854e-16 --90 -30 2.64650081742557 -1.791936939 -0.6232504087 2.806813236e-16 --90 -35 2.68656115044939 -1.700702058 -0.8409481707 2.695082732e-16 --90 -40 2.71805937889892 -1.582154283 -1.047134891 2.549903578e-16 --90 -45 2.74056857295673 -1.437874622 -1.237874622 2.373211953e-16 - --85 45 1.55546057822738 -0.5977780574 1.797778057 0.09604313509 --85 40 1.62519367105321 -0.7421839427 1.742316088 0.1086770130 --85 35 1.69864199633153 -0.8878864738 1.671808571 0.1214243327 --85 30 1.77527855088982 -1.033042254 1.585102358 0.1341238179 --85 25 1.85446442396144 -1.175456862 1.481278366 0.1465834817 --85 20 1.93545346631145 -1.312616022 1.359738278 0.1585833533 --85 15 2.01741109738852 -1.441748292 1.220289887 0.1698809629 --85 10 2.09942380246225 -1.559897191 1.063215452 0.1802176522 --85 5 2.18053441313077 -1.664033239 0.8893283759 0.1893283759 --85 -2.84217e-14 2.25975921379249 -1.751160148 0.7000000000 0.1969509927 --85 -5 2.33610655175845 -1.818428087 0.4971638252 0.2028361748 --85 -10 2.40860725220054 -1.863259532 0.2832935822 0.2067584180 --85 -15 2.47631966901916 -1.883445542 0.06135769176 0.2085244651 --85 -20 2.53834954597635 -1.877248091 -0.1652475445 0.2079822583 --85 -25 2.59387161421469 -1.843490627 -0.3927876263 0.2050288630 --85 -30 2.64214165965582 -1.781622116 -0.6172951429 0.1996160696 --85 -35 2.68250635790453 -1.691759239 -0.8346863414 0.1917540866 --85 -40 2.71440571507892 -1.574701159 -1.040880978 0.1815128316 --85 -45 2.73738947963163 -1.431933311 -1.231933311 0.1690222634 - --80 45 1.55530199294891 -0.5913147267 1.791314727 0.1924282308 --80 40 1.62446748036783 -0.7332150917 1.734790329 0.2174490937 --80 35 1.69713398158367 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--60 30 1.74684928100479 -0.8531036347 1.481214748 0.7812147478 --60 25 1.81297388330000 -0.9558512014 1.378874564 0.8405360830 --60 20 1.87937830757279 -1.052300208 1.264991070 0.8962209428 --60 15 1.94574927593844 -1.141453591 1.139826164 0.9476936728 --60 10 2.01179927345478 -1.222304302 1.003688717 0.9943728525 --60 5 2.07725362148663 -1.293812904 0.8569382936 1.035658363 --60 -2.84217e-14 2.14184501758347 -1.354892196 0.7000000000 1.070922509 --60 -5 2.20529562565649 -1.404383610 0.5333880231 1.099496390 --60 -10 2.26729602705949 -1.441035447 0.3577430802 1.120657338 --60 -15 2.32748958906798 -1.463493546 0.1738834901 1.133623527 --60 -20 2.38545946271433 -1.470305396 -0.01713251639 1.137556350 --60 -25 2.44070802563314 -1.459933204 -0.2139318624 1.131567963 --60 -30 2.49263973382052 -1.430790435 -0.4147423776 1.114742378 --60 -35 2.54054697126377 -1.381306637 -0.6173050888 1.086172893 --60 -40 2.58360027534153 -1.310026266 -0.8187923724 1.045019152 --60 -45 2.62084664808968 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2.16798251203206 -1.145824730 0.4097966946 1.381010924 --50 -15 2.22145037385586 -1.166975439 0.2533352773 1.398758476 --50 -20 2.27443426323365 -1.178303616 0.08914743968 1.408263945 --50 -25 2.32675782945314 -1.178523723 -0.08270846658 1.408448637 --50 -30 2.37812838974094 -1.166076169 -0.2619095248 1.398003899 --50 -35 2.42810031642034 -1.139120294 -0.4477243859 1.375385234 --50 -40 2.47602942467933 -1.095554544 -0.6388292292 1.338829229 --50 -45 2.52102487034115 -1.033086659 -0.8330866586 1.286412450 - --45 45 1.55302027596265 -0.3966366744 1.596636674 0.8966366744 --45 40 1.60716324850882 -0.4773487614 1.520092985 0.9773487614 --45 35 1.66060794615703 -0.5523061230 1.436832680 1.052306123 --45 30 1.71323800223366 -0.6215775470 1.347543099 1.121577547 --45 25 1.76503567356875 -0.6852972353 1.252713178 1.185297235 --45 20 1.81605120900940 -0.7436156665 1.152639085 1.243615667 --45 15 1.86638638454192 -0.7966655774 1.047440494 1.296665577 --45 10 1.91617371036640 -0.8445289715 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-1.440959619 0.3577564507 1.120613559 +-60 -15 2.32741126907723 -1.463427474 0.1739011939 1.133585381 +-60 -20 2.38538946639656 -1.470247581 -0.01711147363 1.137522971 +-60 -25 2.44064240963181 -1.459880513 -0.2139072922 1.131537542 +-60 -30 2.49257310583683 -1.430738826 -0.4147125807 1.114712581 +-60 -35 2.54047249624450 -1.381251487 -0.6172664726 1.086141053 +-60 -40 2.58351239850106 -1.309964701 -0.8187407132 1.044983607 +-60 -45 2.62074350587256 -1.215679356 -1.015679356 0.9905479381 + +-55 45 1.55343725741432 -0.4843934213 1.684393421 0.6892796942 +-55 40 1.61389995954988 -0.5894838892 1.614185530 0.7628648320 +-55 35 1.67510941875003 -0.6902737480 1.533438651 0.8334386509 +-55 30 1.73670902427012 -0.7860546373 1.442503991 0.9005051516 +-55 25 1.79841775358585 -0.8761967925 1.341731103 0.9636233682 +-55 20 1.86001874491482 -0.9601232435 1.231441399 1.022389302 +-55 15 1.92134162888887 -1.037276303 1.111911944 1.076412456 +-55 10 1.98226249308578 -1.107096870 0.9833745388 1.125301343 +-55 5 2.04266852073535 -1.168975580 0.8460164429 1.168629282 +-55 -2.84217e-14 2.10245807403255 -1.222232829 0.7000000000 1.205920410 +-55 -5 2.16151860200013 -1.266082810 0.5454877752 1.236624497 +-55 -10 2.21970641934797 -1.299601845 0.3826816403 1.260094777 +-55 -15 2.27683170055811 -1.321705919 0.2118753700 1.275572217 +-55 -20 2.33263915032895 -1.331132429 0.03352230088 1.282172730 +-55 -25 2.38677985063091 -1.326427018 -0.1516769056 1.278877966 +-55 -30 2.43878789207957 -1.305952773 -0.3426673196 1.264541745 +-55 -35 2.48805443149817 -1.267923838 -0.5379135987 1.237913599 +-55 -40 2.53380109416938 -1.210474961 -0.7352589091 1.197687462 +-55 -45 2.57505652029991 -1.131780547 -0.9317805473 1.142585040 + +-50 45 1.55310969448574 -0.4444776924 1.644477692 0.7925108833 +-50 40 1.61061861048978 -0.5378834018 1.570887580 0.8708875796 +-50 35 1.66814588715150 -0.6261032992 1.488506019 0.9449128630 +-50 30 1.72544208294357 -0.7088152803 1.397909827 1.014316456 +-50 25 1.78234836436947 -0.7857865889 1.299572133 1.078903053 +-50 20 1.83878708840835 -0.8568398391 1.193849314 1.138523809 +-50 15 1.89473123458320 -0.9218055325 1.080971644 1.193036498 +-50 10 1.95019266967718 -0.9804894902 0.9610502418 1.242278185 +-50 5 2.00520397571038 -1.032637140 0.8340883751 1.286035259 +-50 -2.84217e-14 2.05980937758715 -1.077905528 0.7000000000 1.324019946 +-50 -5 2.11404260962985 -1.115825751 0.5586335646 1.355838792 +-50 -10 2.16791045457496 -1.145770028 0.4098063401 1.380965023 +-50 -15 2.22138441040819 -1.166925940 0.2533485405 1.398716942 +-50 -20 2.27437424801445 -1.178259331 0.08916355817 1.408226786 +-50 -25 2.32670150507279 -1.178483091 -0.08268951937 1.408414543 +-50 -30 2.37807195256657 -1.166036630 -0.2618866970 1.397970722 +-50 -35 2.42803828180021 -1.139078417 -0.4476950631 1.375350095 +-50 -40 2.47595636342930 -1.095507463 -0.6387897238 1.338789724 +-50 -45 2.52093722383157 -1.033033359 -0.8330333590 1.286367726 + +-45 45 1.55298517034742 -0.3966164061 1.596616406 0.8966164061 +-45 40 1.60711896530829 -0.4773218319 1.520070389 0.9773218319 +-45 35 1.66055515587871 -0.5522726704 1.436809256 1.052272670 +-45 30 1.71317762135176 -0.6215380184 1.347520277 1.121538018 +-45 25 1.76497024606014 -0.6852532979 1.252692690 1.185253298 +-45 20 1.81598247469713 -0.7435685979 1.152621954 1.243568598 +-45 15 1.86631499783064 -0.7966159817 1.047427205 1.296615982 +-45 10 1.91610180087839 -0.8444785145 0.9370678371 1.344478515 +-45 5 1.96549254772476 -0.8871612184 0.8213608811 1.387161218 +-45 -2.84217e-14 2.01464297831567 -0.9245677116 0.7000000000 1.424567712 +-45 -5 2.06370466330963 -0.9564751612 0.5725749347 1.456475161 +-45 -10 2.11281191528632 -0.9825048565 0.4385943948 1.482504856 +-45 -15 2.16207745621839 -1.002095941 0.2975146056 1.502095941 +-45 -20 2.21156667233062 -1.014461127 0.1487812287 1.514461127 +-45 -25 2.26127854820190 -1.018545631 -0.008109457174 1.518545631 +-45 -30 2.31111866830404 -1.012982320 -0.1735207495 1.512982320 +-45 -35 2.36085316592809 -0.9960426076 -0.3475403113 1.496042608 +-45 -40 2.41005274135698 -0.9656022429 -0.5297863015 1.465602243 +-45 -45 2.45802434767668 -0.9191410188 -0.7191410188 1.419141019 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.74056858651088 -1.437874632 -1.237874632 2.373211965e-16 --40 -90 2.75378369075343 -1.270098036 -1.409520694 2.583417765e-16 --35 -90 2.75752458984866 -1.081651127 -1.558831905 2.766271262e-16 --30 -90 2.75174339031037 -0.8758716952 -1.683079681 2.918430903e-16 --25 -90 2.73652036428063 -0.6565034796 -1.780129716 3.037282918e-16 --20 -90 2.71205851859602 -0.4275786432 -1.848501377 3.121014054e-16 --15 -90 2.67869728250255 -0.1932978728 -1.887422886 3.168679155e-16 --10 -90 2.63688444628255 0.04210982118 -1.896824246 3.180192501e-16 --5 -90 2.58717635981143 0.2745127227 -1.877331373 3.156320616e-16 --2.84217e-14 -90 2.53023446524000 0.5000000000 -1.830234465 3.098643539e-16 -5 -90 2.46681842225250 0.7149973918 -1.757431433 3.009485539e-16 -10 -90 2.39778248429455 0.9163705588 -1.661354781 2.891825574e-16 -15 -90 2.32404332567718 1.101506674 -1.544853470 2.749152616e-16 -20 -90 2.24657447266658 1.268373723 -1.411089454 2.585338943e-16 -25 -90 2.16638013870224 1.415551808 -1.263407189 2.404480330e-16 -30 -90 2.08447638173687 1.542238191 -1.105209500 2.210744036e-16 -35 -90 2.00187696317766 1.648229455 -0.9398416068 2.008226775e-16 -40 -90 1.91955757651913 1.733867826 -0.7704664147 1.800801988e-16 -45 -90 1.83843181123929 1.799967600 -0.5999676005 1.592001161e-16 - --45 -85 2.73738950064457 -1.431933326 -1.231933326 0.1690222647 --40 -85 2.75001068833943 -1.263716186 -1.401915101 0.1838937430 --35 -85 2.75319925350439 -1.075130391 -1.549519329 0.1968074397 --30 -85 2.74693779248168 -0.8695434530 -1.672118844 0.2075335074 --25 -85 2.73133174003457 -0.6506990217 -1.767682015 0.2158942015 --20 -85 2.70660581591458 -0.4226010814 -1.834825638 0.2217685074 --15 -85 2.67311301121395 -0.1893952687 -1.872858169 0.2250959227 --10 -85 2.63130961176771 0.04476446855 -1.881768993 0.2258755187 --5 -85 2.58175140179204 0.2758353196 -1.862214022 0.2241646804 --2.84217e-14 -85 2.52508997710430 0.5000000000 -1.815481247 0.2200760925 -5 -85 2.46206736094032 0.7137729228 -1.743435689 0.2137729228 -10 -85 2.39351292993794 0.9140949913 -1.648449396 0.2054626990 -15 -85 2.32031795818206 1.098409501 -1.533294660 0.1953879651 -20 -85 2.24342487006598 1.264716531 -1.401041402 0.1838173043 -25 -85 2.16380840858603 1.411603736 -1.254940521 0.1710351334 -30 -85 2.08245751012182 1.538252871 -1.098306724 0.1573314518 -35 -85 2.00036323495685 1.644426042 -0.9344097712 0.1429923265 -40 -85 1.91848316913209 1.730416970 -0.7663538442 0.1282893381 -45 -85 1.83772094134782 1.796985442 -0.5969854417 0.1134715229 - --45 -80 2.72779909255526 -1.414025273 -1.214025273 0.3374942973 --40 -80 2.73865819315176 -1.244532929 -1.379053386 0.3665932062 --35 -80 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1.750971090 -0.5509710904 0.4553162408 + +-45 -65 2.65843331602131 -1.285252110 -1.085252110 0.8324767304 +-40 -65 2.65782096666815 -1.108849993 -1.217352759 0.8940762751 +-35 -65 2.64914190502285 -0.9194560970 -1.327193396 0.9452958049 +-30 -65 2.63295879319810 -0.7206998077 -1.414314088 0.9859208509 +-25 -65 2.60983677198485 -0.5159614882 -1.478736442 1.015961488 +-20 -65 2.58033444479239 -0.3083292762 -1.520866434 1.035607026 +-15 -65 2.54497635050636 -0.1005779522 -1.541387431 1.045176124 +-10 -65 2.50424873686976 0.1048190132 -1.541182746 1.045080678 +-5 -65 2.45860026636059 0.3056634668 -1.521276739 1.035798354 +-2.84217e-14 -65 2.40844614575635 0.5000000000 -1.482793497 1.017853324 +5 -65 2.35417605979070 0.6860824715 -1.426932382 0.9918048581 +10 -65 2.29616646615384 0.8623447290 -1.354959074 0.9582431535 +15 -65 2.23479981839071 1.027380735 -1.268211698 0.9177921877 +20 -65 2.17046302493800 1.179930778 -1.168094459 0.8711067522 +25 -65 2.10356129219444 1.318877749 -1.056089000 0.8188777489 +30 -65 2.03454509654183 1.443261556 -0.9337769398 0.7618426988 +35 -65 1.96391052360581 1.552297259 -0.8028362336 0.7007840447 +40 -65 1.89221157559779 1.645406188 -0.6650419390 0.6365295099 +45 -65 1.82006413229194 1.722251208 -0.5222512079 0.5699450984 + +-45 -60 2.62074369471698 -1.215679480 -1.015679480 0.9905480095 +-40 -60 2.61480227393519 -1.037134744 -1.131885854 1.057639791 +-35 -60 2.60160505310508 -0.8489644610 -1.226520906 1.112277364 +-30 -60 2.58188700698771 -0.6546549716 -1.299921076 1.154654972 +-25 -60 2.55632319705346 -0.4572243774 -1.352774302 1.185169796 +-20 -60 2.52551418190050 -0.2592366874 -1.385985655 1.204344379 +-15 -60 2.48998174747350 -0.06284698882 -1.400573559 1.212766710 +-10 -60 2.45017032319588 0.1301375128 -1.397594400 1.211046691 +-5 -60 2.40645149100545 0.3181905249 -1.378091810 1.199786866 +-2.84217e-14 -60 2.35913513030602 0.5000000000 -1.343070954 1.179567565 +5 -60 2.30848611369305 0.6744081068 -1.293493783 1.150944172 +10 -60 2.25473809912340 0.8403612530 -1.230284586 1.114450326 +15 -60 2.19810669288757 0.9968702017 -1.154344838 1.070606491 +20 -60 2.13880046032544 1.142980264 -1.066573758 1.019931835 +25 -60 2.07704308520456 1.277756223 -0.9679036023 0.9629645938 +30 -60 2.01310063812386 1.400285974 -0.8593410491 0.9002859745 +35 -60 1.94728522514647 1.509691521 -0.7419889337 0.8325326990 +40 -60 1.87998632796310 1.605166663 -0.6170863412 0.7604201536 +45 -60 1.81166760470205 1.686014848 -0.4860148475 0.6847459915 + +-45 -55 2.57505624629701 -1.131780374 -0.9317803737 1.142584918 +-40 -55 2.56346115711931 -0.9520597028 -1.030497367 1.211707302 +-35 -55 2.54567972523514 -0.7665846494 -1.108870342 1.266584649 +-30 -55 2.52256350578604 -0.5784843313 -1.167989657 1.307980439 +-25 -55 2.49483360846938 -0.3902338299 -1.209112609 1.336775040 +-20 -55 2.46308530971421 -0.2037485544 -1.233533262 1.353874566 +-15 -55 2.42779515454345 -0.02048933224 -1.242492633 1.360147984 +-10 -55 2.38933031682328 0.1584330385 -1.237122499 1.356387776 +-5 -55 2.34796397232721 0.3321600672 -1.218419211 1.343291593 +-2.84217e-14 -55 2.30389097106792 0.5000000000 -1.187236999 1.321457573 +5 -55 2.25724835402387 0.6613552919 -1.144299426 1.291392361 +10 -55 2.20813473633170 0.8156641286 -1.090220234 1.253525703 +15 -55 2.15661765911986 0.9623522224 -1.025521985 1.208223501 +20 -55 2.10274273198013 1.100792085 -0.9506626864 1.155806456 +25 -55 2.04657382711797 1.230280869 -0.8660923781 1.096589689 +30 -55 1.98819752102767 1.350024140 -0.7722849977 1.030905054 +35 -55 1.92774231685269 1.459134333 -0.6697857865 0.9591343335 +40 -55 1.86541713140610 1.556656169 -0.5592737854 0.8817529972 +45 -55 1.80152257640458 1.641601931 -0.4416019309 0.7993582776 + +-45 -50 2.52093743352165 -1.033033487 -0.8330334865 1.286367833 +-40 -50 2.50372619203300 -0.8538053201 -0.9134023539 1.353805320 +-35 -50 2.48164985753246 -0.6730364020 -0.9752695993 1.405718103 +-30 -50 2.45559203107626 -0.4932421538 -1.020345875 1.443541589 +-25 -50 2.42624606234482 -0.3161757579 -1.050294561 1.468671521 +-20 -50 2.39413394903032 -0.1430007128 -1.066629939 1.482378530 +-15 -50 2.35963272387302 0.02555109549 -1.070667417 1.485766377 +-10 -50 2.32300131933302 0.1890460797 -1.063507315 1.479758338 +-5 -50 2.28440233771855 0.3472415768 -1.046036767 1.465098807 +-2.84217e-14 -50 2.24391560929033 0.5000000000 -1.018939083 1.442361151 +5 -50 2.20156136555704 0.6472188315 -0.9827189436 1.411968845 +10 -50 2.15731774594726 0.7887757338 -0.9377285689 1.374217438 +15 -50 2.11112756495372 0.9244822299 -0.8841892490 1.329292615 +20 -50 2.06291284275419 1.054043532 -0.8222220926 1.277295996 +25 -50 2.01259370924300 1.177025394 -0.7518856426 1.218276707 +30 -50 1.96009684141020 1.292823394 -0.6732103999 1.152260340 +35 -50 1.90539363548778 1.400649255 -0.5862604378 1.079300659 +40 -50 1.84850477047255 1.499516481 -0.4911773569 0.9995164808 +45 -50 1.78955149905206 1.588262778 -0.3882627777 0.9131608954 + +-45 -45 2.45802394893257 -0.9191407886 -0.7191407886 1.419140789 +-40 -45 2.43566599296051 -0.7428560677 -0.7811781838 1.481178184 +-35 -45 2.40997213179652 -0.5693350157 -0.8271686712 1.527168671 +-30 -45 2.38174980568812 -0.4002168101 -0.8592212530 1.559221253 +-25 -45 2.35157187727199 -0.2363844171 -0.8791814785 1.579181479 +-20 -45 2.31982371355249 -0.07820114266 -0.8885945834 1.588594583 +-15 -45 2.28674430173933 0.07430702605 -0.8887078072 1.588707807 +-10 -45 2.25246258141165 0.2213162515 -0.8804940761 1.580494076 +-5 -45 2.21702380442815 0.3631081239 -0.8646813036 1.564681304 +-2.84217e-14 -45 2.18040233536414 0.5000000000 -0.8417772771 1.541777277 +5 -45 2.14252021315921 0.6322915933 -0.8120998311 1.512099831 +10 -45 2.10326115369977 0.7602239465 -0.7758033369 1.475803337 +15 -45 2.06247120008754 0.8839430137 -0.7328948345 1.432894834 +20 -45 2.01997829757948 1.003466601 -0.6832631175 1.383263117 +25 -45 1.97559534447322 1.118649015 -0.6266970945 1.326697094 +30 -45 1.92913094270858 1.229142960 -0.5629126529 1.262912653 +35 -45 1.88040796728825 1.334360720 -0.4915905992 1.191590599 +40 -45 1.82928874110183 1.433437761 -0.4124278054 1.112427805 +45 -45 1.77570713995702 1.525204995 -0.3252049953 1.025204995 diff --git a/test/checkpointML.par b/test/checkpointML.par index f6c8bd8..1f6f264 100644 --- a/test/checkpointML.par +++ b/test/checkpointML.par @@ -95,8 +95,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 diff --git a/test/checkpointML/BH_diagnostics.ah1.gp b/test/checkpointML/BH_diagnostics.ah1.gp index 9e47031..35fecca 100644 --- a/test/checkpointML/BH_diagnostics.ah1.gp +++ b/test/checkpointML/BH_diagnostics.ah1.gp @@ -40,5 +40,5 @@ # column 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -0 0.000 0.000026 -0.000015 0.000000 1.037139320 2.757524590 1.996579363 1.199949913 6.283368642e-06 0.000000000 1.199974249 0.000000000 1.079996592 -1.896328144 1.896647535 -1.896824246 1.896373563 -1.799355580 1.799355580 12.56610970 10.83742075 11.22769627 0.8624324474 0.8934902314 45.23801158 0.9486736240 1.897347248 2.406638671e-15 -1.470481275 -3.490269007e-15 0.7352406373 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071617693 0.7479415843 33.19259317 -1 0.050 0.000025 -0.000013 0.000000 1.036857121 2.757240506 1.996330190 1.199615195 6.703243210e-06 0.000000000 1.199637694 0.000000000 1.079671314 -1.896108949 1.896429088 -1.896604279 1.896161727 -1.799116924 1.799116924 12.56688447 10.83730608 11.22781210 0.8623701523 0.8934443640 45.23782927 0.9486717123 1.897343425 3.998981738e-15 -1.469807862 -5.914267298e-15 0.7349039310 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7069539534 0.7477683183 33.17754261 +0 0.000 0.000039 0.000009 0.000000 1.037097566 2.757422563 1.996522207 1.199884630 5.608259904e-06 0.000000000 1.199898683 -0.000000000 1.079940971 -1.896292631 1.896685600 -1.896795776 1.896404235 -1.799352046 1.799352046 12.56580448 10.83709549 11.22743052 0.8624275118 0.8934907859 45.23550422 0.9486473330 1.897294666 -2.321960643e-15 -1.470552981 3.482479992e-15 0.7352764906 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071576096 0.7479030617 33.19249532 +1 0.050 0.000040 0.000010 0.000000 1.036818938 2.757142124 1.996278316 1.199554582 5.605404179e-06 0.000000000 1.199568553 -0.000000000 1.079624797 -1.896076949 1.896472792 -1.896583218 1.896196977 -1.799123529 1.799123529 12.56660294 10.83701188 11.22758465 0.8623660611 0.8934462802 45.23557031 0.9486480260 1.897296052 1.115273995e-15 -1.469875643 -1.650491279e-15 0.7349378217 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7069445463 0.7477415823 33.17759896 diff --git a/test/checkpointML/checkpoint.chkpt.it_1.h5 b/test/checkpointML/checkpoint.chkpt.it_1.h5 Binary files differindex 29d6e89..3cd211d 100644 --- a/test/checkpointML/checkpoint.chkpt.it_1.h5 +++ b/test/checkpointML/checkpoint.chkpt.it_1.h5 diff --git a/test/checkpointML/h.t0.ah1.gp b/test/checkpointML/h.t0.ah1.gp index 6370850..daea0e7 100644 --- a/test/checkpointML/h.t0.ah1.gp +++ b/test/checkpointML/h.t0.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45809562013366 -0.9191821680 -0.7191821680 1.419182168 --40 -45 2.43573429203406 -0.7428909189 -0.7812197178 1.481219718 --35 -45 2.41003745132246 -0.5693639988 -0.8272100633 1.527210063 --30 -45 2.38181144916504 -0.4002401092 -0.8592616081 1.559261608 --25 -45 2.35162920291686 -0.2364023683 -0.8792199752 1.579219975 --20 -45 2.31987692593722 -0.07821440551 -0.8886310227 1.588631023 --15 -45 2.28679517811295 0.07429755506 -0.8887431534 1.588743153 --10 -45 2.25251342934055 0.2213099604 -0.8805297547 1.580529755 --5 -45 2.21707570291486 0.3631049194 -0.8647179313 1.564717931 -0 -45 2.18045705242161 0.5000000000 -0.8418159679 1.541815968 -5 -45 2.14257859859378 0.6322951984 -0.8121410370 1.512141037 -10 -45 2.10332348339889 0.7602316582 -0.7758470720 1.475847072 -15 -45 2.06254112440309 0.8839560306 -0.7329434142 1.432943414 -20 -45 2.02005677401471 1.003486161 -0.6833168575 1.383316857 -25 -45 1.97568052568669 1.118675689 -0.6267542973 1.326754297 -30 -45 1.92922058538795 1.229176842 -0.5629713378 1.262971338 -35 -45 1.88049870463424 1.334400981 -0.4916480983 1.191648098 -40 -45 1.82937686093435 1.433482726 -0.4124813928 1.112481393 -45 -45 1.77578645709401 1.525250789 -0.3252507890 1.025250789 - --45 -40 2.41011095338124 -0.9656376428 -0.5298160055 1.465637643 --40 -40 2.38616711544363 -0.7902392225 -0.5902392225 1.537647229 --35 -40 2.35874586607942 -0.6149416407 -0.6360997540 1.592301682 --30 -40 2.32863702032531 -0.4418911693 -0.6689099580 1.631403360 --25 -40 2.29642985019323 -0.2725063021 -0.6900903016 1.656645111 --20 -40 2.26254647195774 -0.1076598157 -0.7009033686 1.669531622 --15 -40 2.22727345212349 0.05216443699 -0.7024250357 1.671345075 --10 -40 2.19079300046829 0.2067433124 -0.6955412689 1.663141321 --5 -40 2.15320376975990 0.3560148503 -0.6809547566 1.645757792 -0 -40 2.11453837054396 0.5000000000 -0.6591990648 1.619830369 -5 -40 2.07477992513100 0.6387409322 -0.6306577142 1.585816111 -10 -40 2.03387946114866 0.7722524463 -0.5955869054 1.544020349 -15 -40 1.99176113878771 0.9004813464 -0.5541323489 1.494616732 -20 -40 1.94833695465669 1.023271495 -0.5063539188 1.437676617 -25 -40 1.90351724882921 1.140332676 -0.4522498134 1.373197855 -30 -40 1.85722440545333 1.251213371 -0.3917858648 1.301139727 -35 -40 1.80940843249810 1.355278576 -0.3249303226 1.221464394 -40 -40 1.76007029305586 1.451698526 -0.2516985260 1.134190137 -45 -40 1.70928383375266 1.539450373 -0.1722024245 1.039450373 - --45 -35 2.36090393474095 -0.9960747791 -0.3475628381 1.496074779 --40 -35 2.33484817847898 -0.8225630288 -0.4036455840 1.576169241 --35 -35 2.30532386869580 -0.6469973206 -0.4469973206 1.638081937 --30 -35 2.27309289850065 -0.4718269011 -0.4786268376 1.683253569 --25 -35 2.23874970188757 -0.2988551679 -0.4995608495 1.713150436 --20 -35 2.20274320838689 -0.1293640510 -0.5107733307 1.729163519 --15 -35 2.16540163782944 0.03576460090 -0.5131446376 1.732550096 --10 -35 2.12695499705765 0.1959409294 -0.5074411553 1.724404679 --5 -35 2.08755379456354 0.3507750149 -0.4943085563 1.705649384 -0 -35 2.04728686245312 0.5000000000 -0.4742755028 1.677039219 -5 -35 2.00619813810523 0.6434094240 -0.4477642436 1.639177217 -10 -35 1.96430382871477 0.7808072561 -0.4151064727 1.592537086 -15 -35 1.92159854593300 0.9119670237 -0.3765563907 1.537481864 -20 -35 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0.06447967072 + +90 -45 1.83841584184048 1.799956308 -0.5999563084 0.000000000 +90 -40 1.75934322711042 1.847735103 -0.4308840276 0.000000000 +90 -35 1.68303674979505 1.878662994 -0.2653502212 0.000000000 +90 -30 1.61011527382117 1.894400730 -0.1050576369 0.000000000 +90 -25 1.54107205083917 1.896685600 0.04871480866 0.000000000 +90 -20 1.47628183254396 1.887251144 0.1950818760 0.000000000 +90 -15 1.41601389295899 1.867764390 0.3335086364 0.000000000 +90 -10 1.36042036844144 1.839752526 0.4637654822 0.000000000 +90 -5 1.30956735290407 1.804584054 0.5858636847 0.000000000 +90 0 1.26345129257426 1.763451293 0.7000000000 0.000000000 +90 5 1.22200533857573 1.717355239 0.8065047829 0.000000000 +90 10 1.18512813992347 1.667123381 0.9057953418 0.000000000 +90 15 1.15268712124424 1.613410260 0.9983373800 0.000000000 +90 20 1.12454033146754 1.556722251 1.084615445 0.000000000 +90 25 1.10054391805591 1.497431523 1.165109958 0.000000000 +90 30 1.08055675387908 1.435789599 1.240278377 0.000000000 +90 35 1.06445601759355 1.371951323 1.310546889 0.000000000 +90 40 1.05213478613799 1.305982006 1.376299204 0.000000000 +90 45 1.04350440631358 1.237869042 1.437869042 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12197172574435 1.147770678 1.347770678 0.6477706779 -40 45 1.12786899447641 1.075521778 1.385880147 0.6858801468 -35 45 1.13604755317763 1.004078621 1.419898877 0.7198988774 -30 45 1.14621689620628 0.9332292651 1.450375099 0.7503750985 -25 45 1.15817506079388 0.8626774394 1.477764279 0.7777642787 -20 45 1.17179627940333 0.7920626872 1.502435638 0.8024356383 -15 45 1.18702276360330 0.7209723448 1.524680018 0.8246800180 -10 45 1.20385692071470 0.6489460300 1.544714912 0.8447149122 -5 45 1.22235603405055 0.5754753334 1.562687008 0.8626870081 -0 45 1.24263182637968 0.5000000000 1.578673391 0.8786733910 --5 45 1.26485078736623 0.4219007947 1.592678001 0.8926780014 --10 45 1.28923440161013 0.3404907240 1.604622057 0.9046220573 --15 45 1.31606534570610 0.2550055026 1.614331912 0.9143319119 --20 45 1.34569162227775 0.1645950168 1.621517618 0.9215176177 --25 45 1.37853228265182 0.06831866329 1.625743614 0.9257436140 --30 45 1.41508255609259 -0.03485093258 1.626388990 0.9263889897 --35 45 1.45591362354236 -0.1460072284 1.622593936 0.9225939356 --40 45 1.50166520963734 -0.2662601206 1.613193252 0.9131932516 --45 45 1.55302060478015 -0.3966368642 1.596636864 0.8966368642 - -45 50 1.10258260947085 1.170502980 1.370502980 0.5626188034 -40 50 1.10634611912523 1.098219273 1.412929968 0.5982192728 -35 50 1.11278121974095 1.025993977 1.451197250 0.6303293353 -30 50 1.12161687325461 0.9536735520 1.485785642 0.6593524424 -25 50 1.13265711488327 0.8810195897 1.517099147 0.6856275929 -20 50 1.14577424226324 0.8077244925 1.545466095 0.7094302882 -15 50 1.16090363069905 0.7334216890 1.571141603 0.7309745977 -10 50 1.17804024654663 0.6576909277 1.594309691 0.7504149320 -5 50 1.19723427262852 0.5800592858 1.615081824 0.7678448212 -0 50 1.21859096039446 0.5000000000 1.633494834 0.7832951706 --5 50 1.24227103499270 0.4169290972 1.649504763 0.7967290968 --10 50 1.26848909907202 0.3302017072 1.662973971 0.8080311040 --15 50 1.29751800281797 0.2391094009 1.673656971 0.8169952053 --20 50 1.32968947871332 0.1428807657 1.681177032 0.8233052859 --25 50 1.36539471760224 0.04068876779 1.684996116 0.8265098778 --30 50 1.40508293577830 -0.06833040005 1.684377128 0.8259904854 --35 50 1.44925101594137 -0.1850378961 1.678335506 0.8209209621 --40 50 1.49842788275771 -0.3102242353 1.665587643 0.8102242353 --45 50 1.55313585679846 -0.4444936022 1.644493602 0.7925242333 - -45 55 1.08685587401921 1.188726736 1.388726736 0.4822516525 -40 55 1.08863563668902 1.116652191 1.434897464 0.5145807441 -35 55 1.09338500655303 1.044005851 1.476920872 0.5440058509 -30 55 1.10087072532241 0.9706608279 1.515208467 0.5708151138 -25 55 1.11092021664241 0.8964107088 1.550105508 0.5952502853 -20 55 1.12341935168562 0.8209814705 1.581889342 0.6175055654 -15 55 1.13830994412648 0.7440396100 1.610768224 0.6377267757 -10 55 1.15558969467142 0.6651974438 1.636881260 0.6560113204 -5 55 1.17530863028769 0.5840147992 1.660293549 0.6724047817 -0 55 1.19756908621517 0.5000000000 1.680991165 0.6868974088 --5 55 1.22252621537603 0.4126099377 1.698872983 0.6994183925 --10 55 1.25038484871359 0.3212511052 1.713735357 0.7098251389 --15 55 1.28140152588989 0.2252833200 1.725256607 0.7178924051 --20 55 1.31588202750980 0.1240284204 1.732973425 0.7232957792 --25 55 1.35417748233264 0.01678757158 1.736252397 0.7255917397 --30 55 1.39667717687529 -0.09712845592 1.734256824 0.7241944248 --35 55 1.44379082274429 -0.2183477461 1.725906902 0.7183477461 --40 55 1.49592783540444 -0.3473608122 1.709845292 0.7071012860 --45 55 1.55345464699094 -0.4844044409 1.684404441 0.6892874102 - -45 60 1.07421197039526 1.203236810 1.403236810 0.4060139613 -40 60 1.07422079555940 1.131490237 1.452580759 0.4345027037 -35 60 1.07741809640019 1.058654635 1.497841504 0.4606340069 -30 60 1.08361722418877 0.9846083550 1.539366293 0.4846083550 -25 60 1.09267901960534 0.9091575727 1.577441246 0.5065909397 -20 60 1.10451451915594 0.8320464208 1.612290043 0.5267109021 -15 60 1.11908226900881 0.7529625311 1.644069019 0.5450585021 -10 60 1.13639084982396 0.6715425014 1.672865870 0.5616843717 -5 60 1.15649611729304 0.5873742741 1.698692522 0.5765953966 -0 60 1.17950116842024 0.5000000000 1.721477976 0.5897505842 --5 60 1.20555590296778 0.4089192170 1.741058113 0.6010551818 --10 60 1.23485333793356 0.3135942132 1.757159750 0.6103514661 --15 60 1.26763008793924 0.2134590329 1.769385448 0.6174099760 --20 60 1.30415946228151 0.1079350031 1.777189726 0.6219157783 --25 60 1.34474470515597 -0.003544471472 1.779854604 0.6234543462 --30 60 1.38970733798003 -0.1214960153 1.776462675 0.6214960153 --35 60 1.43936619485258 -0.2463292097 1.765868573 0.6153795076 --40 60 1.49401196540142 -0.3782682054 1.746679289 0.6043005693 --45 60 1.55386915072672 -0.5172461433 1.717246143 0.5873073347 - -45 65 1.06418916123171 1.214648712 1.414648712 0.3332461673 -40 65 1.06267602148497 1.143266169 1.466614767 0.3574783369 -35 65 1.06450660268600 1.070381067 1.514588584 0.3798488952 -30 65 1.06954180288220 0.9958639978 1.558861638 0.4004937590 -25 65 1.07768068246487 0.9195212826 1.599666294 0.4195212826 -20 65 1.08886461442891 0.8411035137 1.637174202 0.4370115072 -15 65 1.10307556821131 0.7603100283 1.671490251 0.4530133440 -10 65 1.12033872883810 0.6767941650 1.702649534 0.4675431561 -5 65 1.14071973054565 0.5901665557 1.730608447 0.4805806115 -0 65 1.16432485902435 0.5000000000 1.755236686 0.4920649480 --5 65 1.19130095226577 0.4058353242 1.776307170 0.5018902758 --10 65 1.22182891968429 0.3071902559 1.793478397 0.5098973503 --15 65 1.25612296314818 0.2035729795 1.806280701 0.5158671631 --20 65 1.29442072915851 0.09450288580 1.814094165 0.5195106410 --25 65 1.33697458656326 -0.02045963381 1.816129287 0.5204596338 --30 65 1.38403674483988 -0.1416710329 1.811406831 0.5182575165 --35 65 1.43583791192128 -0.2693468117 1.798741116 0.5123513965 --40 65 1.49255934561633 -0.4034860223 1.776732713 0.5020887098 --45 65 1.55430296263100 -0.5437811722 1.743781172 0.4867231540 - -45 70 1.05642658709060 1.223431502 1.423431502 0.2633075333 -40 70 1.05365973885920 1.152395651 1.477494860 0.2829849865 -35 70 1.05434278365322 1.079536516 1.527663920 0.3012450307 -30 70 1.05837996253495 1.004710672 1.574184526 0.3181771469 -25 70 1.06570787635040 0.9277176420 1.617243443 0.3338493109 -20 70 1.07629934361915 0.8483072332 1.656966258 0.3483072332 -15 70 1.09016184336405 0.7661836018 1.693410726 0.3615719347 -10 70 1.10733943286290 0.6810106434 1.726562371 0.3736381467 -5 70 1.12791011796578 0.5924164656 1.756325036 0.3844708706 -0 70 1.15198571697593 0.5000000000 1.782512477 0.3940023200 --5 70 1.17971113933707 0.4033391649 1.804838401 0.4021282916 --10 70 1.21125540110358 0.3020027889 1.822897984 0.4087014422 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1.870205040 0.000000000 +-40 90 1.48980811155370 -0.4576301949 1.841259225 0.000000000 +-45 90 1.55553002338312 -0.5999258279 1.799925828 0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.55551342544835 -0.5999140914 1.799914091 1.347006271e-16 --90 40 1.62543526979729 -0.7451556561 1.744809652 1.524875889e-16 --90 35 1.69914468651702 -0.8918578435 1.674589354 1.704534253e-16 --90 30 1.77611453104107 -1.038160304 1.588057266 1.883703093e-16 --90 25 1.85570115027193 -1.181836403 1.484253194 2.059655568e-16 --90 20 1.93714659710291 -1.320322363 1.362543157 2.229251955e-16 --90 15 2.01959870323034 -1.450782546 1.222710608 2.389019601e-16 --90 10 2.10212117389839 -1.570185230 1.065029511 2.535245715e-16 --90 5 2.18372948394483 -1.675419734 0.8903245651 2.664120814e-16 --90 -2.84217e-14 2.26341325758605 -1.763413258 0.7000000000 2.771881801e-16 --90 -5 2.34015308612729 -1.831248097 0.4960422196 2.854955520e-16 --90 -10 2.41295647177664 -1.876298241 0.2809945059 2.910126035e-16 --90 -15 2.48086144828118 -1.896328144 0.05790580892 2.934655592e-16 --90 -20 2.54295936266174 -1.889600148 -0.1697433257 2.926416173e-16 --90 -25 2.59841953864003 -1.854967862 -0.3981395487 2.884003854e-16 --90 -30 2.64650081742065 -1.791936939 -0.6232504087 2.806813236e-16 --90 -35 2.68656115044287 -1.700702058 -0.8409481707 2.695082732e-16 --90 -40 2.71805937889153 -1.582154283 -1.047134891 2.549903578e-16 --90 -45 2.74056857294999 -1.437874622 -1.237874622 2.373211953e-16 - --85 45 1.55546057823101 -0.5977780574 1.797778057 0.09604313509 --85 40 1.62519367105868 -0.7421839427 1.742316088 0.1086770130 --85 35 1.69864199633967 -0.8878864738 1.671808571 0.1214243327 --85 30 1.77527855089870 -1.033042254 1.585102358 0.1341238179 --85 25 1.85446442396906 -1.175456862 1.481278366 0.1465834817 --85 20 1.93545346631892 -1.312616022 1.359738278 0.1585833533 --85 15 2.01741109739569 -1.441748292 1.220289887 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30 1.77277584424595 -1.017675995 1.576230644 0.2676072258 --80 25 1.85076944440835 -1.156350060 1.472368718 0.2920592051 --80 20 1.93040409635695 -1.289586957 1.351356384 0.3155524649 --80 15 2.01089553663568 -1.414801723 1.213069575 0.3376312065 --80 10 2.09139878688585 -1.529258153 1.057812963 0.3578129632 --80 5 2.17103454694135 -1.630159694 0.8863648247 0.3756046272 --80 -2.84217e-14 2.24889706932975 -1.714731270 0.7000000000 0.3905168778 --80 -5 2.32407568980262 -1.780319475 0.5004978967 0.4020818482 --80 -10 2.39567039164540 -1.824489096 0.2901298561 0.4098701439 --80 -15 2.46279726902220 -1.845108619 0.07163003947 0.4135059222 --80 -20 2.52460468782218 -1.840442413 -0.1518513734 0.4126831443 --80 -25 2.58028594847917 -1.809232411 -0.3768127575 0.4071799787 --80 -30 2.62909071517845 -1.750768409 -0.5994817468 0.3968711978 --80 -35 2.67033558201058 -1.664944335 -0.8159103435 0.3817380981 --80 -40 2.70341245539839 -1.552296571 -1.022081295 0.3618752578 --80 -45 2.72779905143739 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2.15538514675264 -1.574547638 0.8814994003 0.5558733642 +-75 -2.84217e-14 2.23103093950751 -1.655010404 0.7000000000 0.5774332974 +-75 -5 2.30430015186117 -1.717877600 0.5059608529 0.5942785119 +-75 -10 2.37439999852252 -1.760935551 0.3013360607 0.6058158551 +-75 -15 2.44053731246177 -1.782178477 0.08849212019 0.6115078798 +-75 -20 2.50192593228221 -1.779881719 -0.1298090833 0.6108924654 +-75 -25 2.55779386876428 -1.752675954 -0.3504400489 0.6036027028 +-75 -30 2.60738957365927 -1.699619978 -0.5699511865 0.5893863968 +-75 -35 2.64999157930184 -1.620273249 -0.7846313118 0.5681255047 +-75 -40 2.68492218498935 -1.514764494 -0.9905881437 0.5398545191 +-75 -45 2.71155874316484 -1.383846192 -1.183846192 0.5047750658 + +-70 45 1.55471260430885 -0.5646533215 1.764653321 0.3875021188 +-70 40 1.62157777737295 -0.6965612247 1.704034082 0.4355126693 +-70 35 1.69112183527520 -0.8275383950 1.629552391 0.4831844606 +-70 30 1.76283999948851 -0.9560436749 1.540647208 0.5299565575 +-70 25 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2.32741119606207 -1.463427413 0.1739012104 1.133585345 +-60 -20 2.38538939234425 -1.470247520 -0.01711145137 1.137522936 +-60 -25 2.44064233377309 -1.459880452 -0.2139072638 1.131537507 +-60 -30 2.49257302720091 -1.430738765 -0.4147125455 1.114712546 +-60 -35 2.54047241348356 -1.381251426 -0.6172664297 1.086141017 +-60 -40 2.58351231025597 -1.309964639 -0.8187406613 1.044983572 +-60 -45 2.62074341226261 -1.215679295 -1.015679295 0.9905479027 + +-55 45 1.55343718421026 -0.4843933749 1.684393375 0.6892796617 +-55 40 1.61389988499262 -0.5894838389 1.614185487 0.7628647968 +-55 35 1.67510934237100 -0.6902736937 1.533438613 0.8334386129 +-55 30 1.73670894532842 -0.7860545789 1.442503957 0.9005051107 +-55 25 1.79841767116293 -0.8761967294 1.341731074 0.9636233240 +-55 20 1.86001866419299 -0.9601231802 1.231441376 1.022389257 +-55 15 1.92134154879402 -1.037276239 1.111911927 1.076412411 +-55 10 1.98226241594082 -1.107096807 0.9833745278 1.125301299 +-55 5 2.04266844040601 -1.168975514 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-0.4773217856 1.520070350 0.9773217856 +-45 35 1.66055507823507 -0.5522726212 1.436809222 1.052272621 +-45 30 1.71317754318718 -0.6215379672 1.347520247 1.121537967 +-45 25 1.76497016832904 -0.6852532457 1.252692665 1.185253246 +-45 20 1.81598239867673 -0.7435685458 1.152621935 1.243568546 +-45 15 1.86631492507644 -0.7966159312 1.047427192 1.296615931 +-45 10 1.91610173406250 -0.8444784676 0.9370678288 1.344478468 +-45 5 1.96549247657791 -0.8871611682 0.8213608767 1.387161168 +-45 -2.84217e-14 2.01464290477791 -0.9245676596 0.7000000000 1.424567660 +-45 -5 2.06370458875555 -0.9564751085 0.5725749393 1.456475109 +-45 -10 2.11281183998201 -0.9825048036 0.4385944041 1.482504804 +-45 -15 2.16207738019201 -1.002095889 0.2975146197 1.502095889 +-45 -20 2.21156659547374 -1.014461075 0.1487812479 1.514461075 +-45 -25 2.26127847015451 -1.018545579 -0.008109432734 1.518545579 +-45 -30 2.31111858849610 -1.012982267 -0.1735207194 1.512982267 +-45 -35 2.36085308375741 -0.9960425555 -0.3475402748 1.496042555 +-45 -40 2.41005265494178 -0.9656021904 -0.5297862574 1.465602190 +-45 -45 2.45802425425618 -0.9191409649 -0.7191409649 1.419140965 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.74056858650414 -1.437874632 -1.237874632 2.373211965e-16 --40 -90 2.75378369074761 -1.270098036 -1.409520694 2.583417765e-16 --35 -90 2.75752458984323 -1.081651127 -1.558831905 2.766271262e-16 --30 -90 2.75174339030767 -0.8758716952 -1.683079681 2.918430903e-16 --25 -90 2.73652036427842 -0.6565034796 -1.780129716 3.037282918e-16 --20 -90 2.71205851859388 -0.4275786432 -1.848501377 3.121014054e-16 --15 -90 2.67869728249945 -0.1932978728 -1.887422886 3.168679155e-16 --10 -90 2.63688444627851 0.04210982119 -1.896824246 3.180192501e-16 --5 -90 2.58717635980616 0.2745127227 -1.877331373 3.156320616e-16 --2.84217e-14 -90 2.53023446523282 0.5000000000 -1.830234465 3.098643539e-16 -5 -90 2.46681842224599 0.7149973918 -1.757431433 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2.43566590078447 -0.7428560207 -0.7811781277 1.481178128 +-35 -45 2.40997204315991 -0.5693349763 -0.8271686150 1.527168615 +-30 -45 2.38174971930332 -0.4002167775 -0.8592211964 1.559221196 +-25 -45 2.35157179220481 -0.2363843904 -0.8791814214 1.579181421 +-20 -45 2.31982362900568 -0.07820112159 -0.8885945255 1.588594525 +-15 -45 2.28674421707272 0.07430704181 -0.8887077484 1.588707748 +-10 -45 2.25246249615439 0.2213162621 -0.8804940163 1.580494016 +-5 -45 2.21702371831663 0.3631081292 -0.8646812428 1.564681243 +-2.84217e-14 -45 2.18040224832829 0.5000000000 -0.8417772155 1.541777216 +5 -45 2.14252012508272 0.6322915879 -0.8120997689 1.512099769 +10 -45 2.10326106383759 0.7602239354 -0.7758032738 1.475803274 +15 -45 2.06247110713927 0.8839429964 -0.7328947699 1.432894770 +20 -45 2.01997820664536 1.003466578 -0.6832630552 1.383263055 +25 -45 1.97559525677235 1.118648988 -0.6266970356 1.326697036 +30 -45 1.92913085743437 1.229142928 -0.5629125971 1.262912597 +35 -45 1.88040788343212 1.334360683 -0.4915905461 1.191590546 +40 -45 1.82928865835576 1.433437719 -0.4124277550 1.112427755 +45 -45 1.77570705783031 1.525204948 -0.3252049478 1.025204948 diff --git a/test/checkpointML/h.t1.ah1.gp b/test/checkpointML/h.t1.ah1.gp index de62657..d19f4b4 100644 --- a/test/checkpointML/h.t1.ah1.gp +++ b/test/checkpointML/h.t1.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45779997729702 -0.9190114785 -0.7190114785 1.419011479 --40 -45 2.43544081473572 -0.7427411652 -0.7810412483 1.481041248 --35 -45 2.40974649190769 -0.5692348964 -0.8270256860 1.527025686 --30 -45 2.38152249873690 -0.4001308962 -0.8590724457 1.559072446 --25 -45 2.35134114877321 -0.2363121654 -0.8790265344 1.579026534 --20 -45 2.31958877258961 -0.07814258514 -0.8884336979 1.588433698 --15 -45 2.28650650163776 0.07435129415 -0.8885425964 1.588542596 --10 -45 2.25222351461640 0.2213458298 -0.8803263292 1.580326329 --5 -45 2.21678327045085 0.3631229759 -0.8645115449 1.564511545 -0 -45 2.18016097554878 0.5000000000 -0.8416066099 1.541606610 -5 -45 2.14227812107577 0.6322766452 -0.8119289727 1.511928973 -10 -45 2.10301831358964 0.7601939014 -0.7756329423 1.475632942 -15 -45 2.06223141486191 0.8838983761 -0.7327282445 1.432728245 -20 -45 2.01974331868749 1.003408034 -0.6831022060 1.383102206 -25 -45 1.97536456189964 1.118576747 -0.6265421141 1.326542114 -30 -45 1.92890383157629 1.229057120 -0.5627639738 1.262763974 -35 -45 1.88018323776219 1.334261005 -0.4914481910 1.191448191 -40 -45 1.82906505486370 1.433323620 -0.4122917772 1.112291777 -45 -45 1.77548074835355 1.525074288 -0.3250742880 1.025074288 - --45 -40 2.40981952361935 -0.9654604184 -0.5296672966 1.465460418 --40 -40 2.38587846296174 -0.7900831435 -0.5900831435 1.537461221 --35 -40 2.35846064761322 -0.6148068225 -0.6359381934 1.592109141 --30 -40 2.32835467331364 -0.4417769651 -0.6687439778 1.631205553 --25 -40 2.29614900721157 -0.2724118280 -0.6899202998 1.656442511 --20 -40 2.26226713938977 -0.1075847944 -0.7007304139 1.669325503 --15 -40 2.22699397492766 0.05222063118 -0.7022490600 1.671135355 --10 -40 2.19051071278122 0.2067810991 -0.6953614508 1.662927022 --5 -40 2.15291817273033 0.3560339482 -0.6807715892 1.645539502 -0 -40 2.11424880418679 0.5000000000 -0.6590129351 1.619608548 -5 -40 2.07448542522283 0.6387212389 -0.6304688370 1.585591016 -10 -40 2.03357970141316 0.7722123209 -0.5953959577 1.543792786 -15 -40 1.99145640520755 0.9004200740 -0.5539404703 1.494388060 -20 -40 1.94802826840179 1.023188590 -0.5061627892 1.437448837 -25 -40 1.90320589173790 1.140227937 -0.4520613407 1.372973242 -30 -40 1.85691221430665 1.251087096 -0.3916023404 1.300921011 -35 -40 1.80909761415857 1.355131658 -0.3247542611 1.221254572 -40 -40 1.75976320155680 1.451532477 -0.2515324766 1.133992247 -45 -40 1.70898273081545 1.539267266 -0.1720487796 1.039267266 - --45 -35 2.36061544434324 -0.9958919664 -0.3474348312 1.495891966 --40 -35 2.33456349599939 -0.8224017718 -0.4035110192 1.575977062 --35 -35 2.30504377648697 -0.6468579627 -0.4468579627 1.637882913 --30 -35 2.27281786835369 -0.4717093161 -0.4784842311 1.683049906 --25 -35 2.23847652040508 -0.2987576883 -0.4994144741 1.712941390 --20 -35 2.20247121949075 -0.1292863388 -0.5106238276 1.728950006 --15 -35 2.16512934055661 0.03582297808 -0.5129920858 1.732332230 --10 -35 2.12668042319409 0.1959801811 -0.5072852837 1.724182072 --5 -35 2.08727577025671 0.3507948890 -0.4941494960 1.705422223 -0 -35 2.04700460295568 0.5000000000 -0.4741136054 1.676808005 -5 -35 2.00590971232574 0.6433888064 -0.4475992326 1.638941557 -10 -35 1.96400947364327 0.7807651765 -0.4149393716 1.592298441 -15 -35 1.92129872256827 0.9119027453 -0.3763884177 1.537241973 -20 -35 1.87776528778785 1.036511911 -0.3321439754 1.474054361 -25 -35 1.83340187161316 1.154214519 -0.2823684643 1.402967564 -30 -35 1.78821868506038 1.264526177 -0.2272135491 1.324198182 -35 -35 1.74225487571290 1.366846390 -0.1668463904 1.237984945 -40 -35 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1.237668274 1.437668274 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12166831027075 1.147595501 1.347595501 0.6475955009 -40 45 1.12756585703426 1.075367095 1.385695803 0.6856958027 -35 45 1.13574520483444 1.003944465 1.419707283 0.7197072831 -30 45 1.14591573146126 0.9331154356 1.450177940 0.7501779399 -25 45 1.15787535718545 0.8625835885 1.477563015 0.7775630148 -20 45 1.17149824650410 0.7919884045 1.502231548 0.8022315480 -15 45 1.18672654026666 0.7209172008 1.524474218 0.8244742178 -10 45 1.20356258589855 0.6489096137 1.544508385 0.8445083851 -5 45 1.22206360619796 0.5754572772 1.562480625 0.8624806250 -0 45 1.24234127190120 0.5000000000 1.578467938 0.8784679379 --5 45 1.26456201177178 0.4219186254 1.592474196 0.8924741959 --10 45 1.28894722746202 0.3405262543 1.604420555 0.9044205547 --15 45 1.31577952528799 0.2550587100 1.614133339 0.9141333392 --20 45 1.34540680306804 0.1646660062 1.621322576 0.9213225761 --25 45 1.37824798855725 0.06840768874 1.625552698 0.9255526983 --30 45 1.41479818212442 -0.03474344932 1.626202823 0.9262028232 --35 45 1.45562834085843 -0.1458806449 1.622413156 0.9224131556 --40 45 1.50137787433758 -0.2661135010 1.613018517 0.9130185171 --45 45 1.55272966998752 -0.3964688929 1.596468893 0.8964688929 - -45 50 1.10228204992851 1.170320204 1.370320204 0.5624654358 -40 50 1.10604608844221 1.098057041 1.412736628 0.5980570414 -35 50 1.11248225652057 1.025852662 1.450995431 0.6301599891 -30 50 1.12131939752468 0.9535532285 1.485577236 0.6591775687 -25 50 1.13236143828205 0.8809201257 1.516885846 0.6854486119 -20 50 1.14548059761952 0.8076456274 1.545249414 0.7092484719 -15 50 1.16061219504848 0.7333630903 1.570922910 0.7307910923 -10 50 1.17775111933631 0.6576522255 1.594090200 0.7502307572 -5 50 1.19694747338629 0.5800401075 1.614862615 0.7676608828 -0 50 1.21830643732643 0.5000000000 1.633276876 0.7831122827 --5 50 1.24198865778253 0.4169479799 1.649288934 0.7965479945 --10 50 1.26820863305477 0.3302392500 1.662761055 0.8078524464 --15 50 1.29723912409046 0.2391654747 1.673447701 0.8168196066 --20 50 1.32941170597040 0.1429553681 1.680972064 0.8231332970 --25 50 1.36511740528990 0.04078205412 1.684796063 0.8263420132 --30 50 1.40480528274352 -0.06821809447 1.684182609 0.8258272646 --35 50 1.44897194412752 -0.1849059833 1.678147115 0.8207628833 --40 50 1.49814592027851 -0.3100717736 1.665405946 0.8100717736 --45 50 1.55284914362750 -0.4443192461 1.644319246 0.7923779311 - -45 55 1.08655801122581 1.188537984 1.388537984 0.4821194870 -40 55 1.08833860577735 1.116483939 1.434696949 0.5144403423 -35 55 1.09308938714536 1.043858768 1.476710815 0.5438587676 -30 55 1.10057694409513 0.9705352261 1.514990918 0.5706627846 -25 55 1.11062863392743 0.8963066631 1.549882382 0.5950940502 -20 55 1.12313023595059 0.8208988649 1.581662385 0.6173466482 -15 55 1.13802349912146 0.7439781997 1.610539037 0.6375662978 -10 55 1.15530604088047 0.6651568940 1.636651290 0.6558502943 -5 55 1.17502778410728 0.5839947234 1.660064081 0.6722441070 -0 55 1.19729097079200 0.5000000000 1.680763346 0.6867378883 --5 55 1.22225065194920 0.4126296358 1.698647832 0.6992607402 --10 55 1.25011152313420 0.3212901785 1.713513762 0.7096699760 --15 55 1.28113004503887 0.2253415222 1.725039394 0.7177403107 --20 55 1.31561177569623 0.1241056363 1.732761276 0.7231472309 --25 55 1.35390763485831 0.01688386151 1.736045902 0.7254471508 --30 55 1.39640665206924 -0.09701279708 1.734056497 0.7240541544 --35 55 1.44351822327135 -0.2182121162 1.725713202 0.7182121162 --40 55 1.49565139442656 -0.3472042236 1.709658677 0.7069706167 --45 55 1.55317225495978 -0.4842254926 1.684225493 0.6891621092 - -45 60 1.07391658774685 1.203043436 1.403043436 0.4059023171 -40 60 1.07392657109516 1.131317275 1.452374630 0.4343836953 -35 60 1.07712565230756 1.058502999 1.497624945 0.4605089768 -30 60 1.08332699787025 0.9844785618 1.539141484 0.4844785618 -25 60 1.09239142226230 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1.06238431972966 1.143089594 1.466404334 0.3573802100 -35 65 1.06421703260616 1.070225911 1.514366998 0.3797455676 -30 65 1.06925487733625 0.9957309725 1.558631231 0.4003863187 -25 65 1.07739683769583 0.9194107870 1.599429335 0.4194107870 -20 65 1.08858418303895 0.8410156643 1.636932837 0.4368989572 -15 65 1.10279879245879 0.7602447132 1.671246492 0.4528996772 -10 65 1.12006576342273 0.6767510899 1.702405243 0.4674292413 -5 65 1.14045063804663 0.5901452856 1.730365330 0.4804672440 -0 65 1.16405954217932 0.5000000000 1.754996228 0.4919528203 --5 65 1.19103913500181 0.4058560191 1.776070625 0.5017799732 --10 65 1.22157010789114 0.3072310975 1.793246772 0.5097893422 --15 65 1.25586647240372 0.2036335076 1.806054807 0.5157618269 --20 65 1.29416558621254 0.09458281323 1.813874566 0.5194082404 --25 65 1.33671957005477 -0.02036036057 1.815916394 0.5203603606 --30 65 1.38378026840009 -0.1415521245 1.811200875 0.5181614779 --35 65 1.43557804227510 -0.2692075690 1.798542256 0.5122586670 --40 65 1.49229372941962 -0.4033252377 1.776541097 0.5019993580 --45 65 1.55402894879156 -0.5435971602 1.743597160 0.4866373478 - -45 70 1.05613526060767 1.223232004 1.423232004 0.2632349221 -40 70 1.05337021374253 1.152216385 1.477281220 0.2829072277 -35 70 1.05405573278673 1.079378734 1.527438583 0.3011630150 -30 70 1.05809595388591 1.004575236 1.573949945 0.3180917663 -25 70 1.06542738848210 0.9276050693 1.617002030 0.3337614438 -20 70 1.07602274351689 0.8482177211 1.656720326 0.3482177211 -15 70 1.08988939617998 0.7661170787 1.693162458 0.3614815727 -10 70 1.10707132107579 0.6809668167 1.726313817 0.3735476805 -5 70 1.12764640634263 0.5923948581 1.756078061 0.3843809792 -0 70 1.15172626800744 0.5000000000 1.782268675 0.3939135833 --5 70 1.17945558964153 0.4033601036 1.804599070 0.4020411824 --10 70 1.21100314803016 0.3020440233 1.822664132 0.4086163271 --15 70 1.24656072972129 0.1956286565 1.835929318 0.4134444601 --20 70 1.28633043322288 0.08372343449 1.843710464 0.4162765655 --25 70 1.33051512407485 -0.03399698368 1.845160227 0.4168042361 --30 70 1.37930152365030 -0.1577488455 1.839254419 0.4146546978 --35 70 1.43284045959149 -0.2875838677 1.824786331 0.4093887443 --40 70 1.49121835988002 -0.4233192995 1.800369092 0.4005015963 --45 70 1.55443609109368 -0.5644639677 1.764463968 0.3874331997 - -45 75 1.05036022259142 1.229734184 1.429734184 0.1955316852 -40 75 1.04661816900992 1.159013612 1.485381840 0.2104424297 -35 75 1.04639644235517 1.086233154 1.537227711 0.2243344891 -30 75 1.04963524593623 1.011233741 1.585482814 0.2372644049 -25 75 1.05630369831327 0.9338049763 1.630297774 0.2492725372 -20 75 1.06640303543721 0.8536918954 1.671760496 0.2603824402 -15 75 1.07996465865948 0.7705989764 1.709889129 0.2705989764 -10 75 1.09705013222718 0.6841957242 1.744625862 0.2799066561 -5 75 1.11775067252620 0.5941228889 1.775829543 0.2882676572 -0 75 1.14218399592103 0.5000000000 1.803265020 0.2956189712 --5 75 1.17049354378621 0.4014357705 1.826594298 0.3018700323 --10 75 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0.000000000 ### -x patch @@ -816,205 +816,205 @@ # dpy = 180 - dsigma = 180 - dphi # # dpx dpy gridfn global_x global_y global_z --90 45 1.55525098469744 -0.5997285177 1.799728518 1.346779009e-16 --90 40 1.62515885238020 -0.7449439081 1.744631974 1.524616572e-16 --90 35 1.69885337271948 -0.8916192132 1.674422263 1.704242015e-16 --90 30 1.77580979911173 -1.037896398 1.587904900 1.883379902e-16 --90 25 1.85538639613575 -1.181551139 1.484120174 2.059306220e-16 --90 20 1.93682738768133 -1.320022404 1.362433981 2.228884611e-16 --90 15 2.01928183206433 -1.450476472 1.222628596 2.388644768e-16 --90 10 2.10181336989423 -1.569882102 1.064976061 2.534874491e-16 --90 5 2.18343682655499 -1.675128190 0.8902990584 2.663763776e-16 --90 -2.84217e-14 2.26313951093101 -1.763139511 0.7000000000 2.771546558e-16 --90 -5 2.33989851976445 -1.830994499 0.4960644066 2.854644953e-16 --90 -10 2.41271767278605 -1.876063070 0.2810359729 2.909838033e-16 --90 -15 2.48063452022322 -1.896108949 0.05796454223 2.934387154e-16 --90 -20 2.54273491696305 -1.889389238 -0.1696665607 2.926157882e-16 --90 -25 2.59818998923854 -1.854759819 -0.3980425369 2.883749076e-16 --90 -30 2.64625849233978 -1.791727079 -0.6231292462 2.806556232e-16 --90 -35 2.68630165309672 -1.700489491 -0.8407993291 2.694822411e-16 --90 -40 2.71778361471918 -1.581943036 -1.046957633 2.549644875e-16 --90 -45 2.74028188562286 -1.437671904 -1.237671904 2.372963695e-16 - --85 45 1.55519762902144 -0.5975924790 1.797592479 0.09602689908 --85 40 1.62491674159430 -0.7419722773 1.742138480 0.1086584947 --85 35 1.69835019540482 -0.8876480560 1.671641629 0.1214034739 --85 30 1.77497331688017 -1.032778669 1.584950177 0.1341007572 --85 25 1.85414911118063 -1.175171986 1.481145526 0.1465585582 --85 20 1.93513349247817 -1.312316356 1.359629209 0.1585571359 --85 15 2.01709306379124 -1.441442186 1.220207866 0.1698541822 --85 10 2.09911443129938 -1.559593644 1.063161929 0.1801910953 --85 5 2.18023958035437 -1.663740637 0.8893027766 0.1893027766 --85 -2.84217e-14 2.25948257154996 -1.750884558 0.7000000000 0.1969268817 --85 -5 2.33584869184836 -1.818172178 0.4971862143 0.2028137857 --85 -10 2.40836508607656 -1.863021925 0.2833354787 0.2067376301 --85 -15 2.47608816508011 -1.883222721 0.06141739657 0.2085049707 --85 -20 2.53812132897707 -1.877034358 -0.1651697521 0.2079635591 --85 -25 2.59363898847415 -1.843280456 -0.3926896220 0.2050104754 --85 -30 2.64189695748565 -1.781410804 -0.6171731415 0.1995975822 --85 -35 2.68224514709053 -1.691545815 -0.8345369003 0.1917354145 --85 -40 2.71412864437342 -1.574489386 -1.040703279 0.1814943039 --85 -45 2.73710168716435 -1.431730199 -1.231730199 0.1690044934 - --80 45 1.55503744838359 -0.5911291027 1.791129103 0.1923955002 --80 40 1.62418890867483 -0.7330036139 1.734612878 0.2174118044 --80 35 1.69684062430455 -0.8756943219 1.663271534 0.2425720262 --80 30 1.77246905605678 -1.017413353 1.576079008 0.2675609150 --80 25 1.85045244406696 -1.156066360 1.472236426 0.2920091811 --80 20 1.93008199556922 -1.289288353 1.351247701 0.3154998129 --80 15 2.01057448692767 -1.414496015 1.212987661 0.3375773019 --80 10 2.09108520963559 -1.528953893 1.057759314 0.3577593140 --80 5 2.17073387766732 -1.629864685 0.8863390148 0.3755526092 --80 -2.84217e-14 2.24861278844774 -1.714451308 0.7000000000 0.3904675130 --80 -5 2.32380877916107 -1.780057590 0.5005208087 0.4020356707 --80 -10 2.39541852603500 -1.824244714 0.2901729472 0.4098270528 --80 -15 2.46255570266077 -1.844878596 0.07169167387 0.4134653629 --80 -20 2.52436705280067 -1.840222113 -0.1517711907 0.4126442994 --80 -25 2.58004511255736 -1.809016874 -0.3767122511 0.4071419738 --80 -30 2.62883951168051 -1.750553353 -0.5993575843 0.3968332777 --80 -35 2.67006959667255 -1.664728691 -0.8157593475 0.3817000741 --80 -40 2.70313179520126 -1.552083507 -1.021902514 0.3618376890 --80 -45 2.72750832425539 -1.413821248 -1.213821248 0.3374583223 - --75 45 1.55477962570730 -0.5801778441 1.780177844 0.2894327810 --75 40 1.62298139141225 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-25 2.44036298955545 -1.459656133 -0.2138026624 1.131407996 +-60 -30 2.49229255083727 -1.430521509 -0.4145871127 1.114587113 +-60 -35 2.54018732886967 -1.381040317 -0.6171186098 1.086019134 +-60 -40 2.58322058457319 -1.309760261 -0.8185691678 1.044865574 +-60 -45 2.62044589121405 -1.215484522 -1.015484522 0.9904354503 + +-55 45 1.55315926992843 -0.4842172642 1.684217264 0.6891563476 +-55 40 1.61361070335192 -0.5892886231 1.614021682 0.7627281052 +-55 35 1.67480956028258 -0.6900606791 1.533289458 0.8332894585 +-55 30 1.73639993099267 -0.7858257499 1.442371843 0.9003448829 +-55 25 1.79810164771364 -0.8759548999 1.341618307 0.9634539932 +-55 20 1.85969837967603 -0.9598717554 1.231349865 1.022213208 +-55 15 1.92101988445000 -1.037018873 1.111842966 1.076232201 +-55 10 1.98194211003786 -1.106837123 0.9833287384 1.125119466 +-55 5 2.04235185097979 -1.168716843 0.8459938064 1.168448112 +-55 -2.84217e-14 2.10214682252827 -1.221977867 0.7000000000 1.205741883 +-55 -5 2.16121368149371 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1.192836547 +-50 10 1.94987644707675 -0.9802494297 0.9610079126 1.242076751 +-50 5 2.00489088613397 -1.032397837 0.8340674387 1.285834460 +-50 -2.84217e-14 2.05950071699256 -1.077669080 0.7000000000 1.323821543 +-50 -5 2.11373897646269 -1.115593675 0.5586538686 1.355644057 +-50 -10 2.16761210597642 -1.145543536 0.4098462767 1.380774974 +-50 -15 2.22109088267267 -1.166705677 0.2534075598 1.398532119 +-50 -20 2.27408459345070 -1.178045595 0.08924135169 1.408047440 +-50 -25 2.32641473875770 -1.178276218 -0.08259305277 1.408240955 +-50 -30 2.37778651599633 -1.165836658 -0.2617712432 1.397802926 +-50 -35 2.42775173021410 -1.138884976 -0.4475596147 1.375187779 +-50 -40 2.47566641307146 -1.095320619 -0.6386329429 1.338632943 +-50 -45 2.52064269314772 -1.032854249 -0.8328542489 1.286217435 + +-45 45 1.55269872120951 -0.3964510247 1.596451025 0.8964510247 +-45 40 1.60682460349267 -0.4771428245 1.519920184 0.9771428245 +-45 35 1.66025388277128 -0.5520817575 1.436675577 1.052081757 +-45 30 1.71287098401334 -0.6213372771 1.347404379 1.121337277 +-45 25 1.76465999265082 -0.6850449494 1.252595535 1.185044949 +-45 20 1.81567052021651 -0.7433549742 1.152544201 1.243354974 +-45 15 1.86600312989668 -0.7963993126 1.047369149 1.296399313 +-45 10 1.91579162009809 -0.8442608688 0.9370294603 1.344260869 +-45 5 1.96518526708009 -0.8869443528 0.8213419078 1.386944353 +-45 -2.84217e-14 2.01433952010682 -0.9243531343 0.7000000000 1.424353134 +-45 -5 2.06340567129181 -0.9562641453 0.5725933962 1.456264145 +-45 -10 2.11251757315006 -0.9822983243 0.4386308120 1.482298324 +-45 -15 2.16178715920264 -1.001894258 0.2975686463 1.501894258 +-45 -20 2.21127936380407 -1.014264381 0.1488528385 1.514264381 +-45 -25 2.26099334313760 -1.018354104 -0.008020146460 1.518354104 +-45 -30 2.31083573869643 -1.012797099 -0.1734138122 1.512797099 +-45 -35 2.36057042375626 -0.9958634374 -0.3474148550 1.495863437 +-45 -40 2.40976757495530 -0.9654288274 -0.5296407886 1.465428827 +-45 -45 2.45773499475182 -0.9189739608 -0.7189739608 1.418973961 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.74028189897465 -1.437671913 -1.237671913 2.372963706e-16 --40 -90 2.75349392712260 -1.269911780 -1.409298722 2.583145928e-16 --35 -90 2.75724050628149 -1.081488184 -1.558599197 2.765986278e-16 --30 -90 2.75147211805735 -0.8757360590 -1.682844752 2.918143198e-16 --25 -90 2.73626571870142 -0.6563958617 -1.779898928 3.037000285e-16 --20 -90 2.71181933895382 -0.4274968390 -1.848276622 3.120738808e-16 --15 -90 2.67846867844779 -0.1932387057 -1.887202071 3.168408736e-16 --10 -90 2.63666108557564 0.04214860736 -1.896604279 3.179923119e-16 --5 -90 2.58694786026080 0.2745326378 -1.877103743 3.156041849e-16 --2.84217e-14 -90 2.52999363079153 0.5000000000 -1.829993631 3.098348602e-16 -5 -90 2.46655868328877 0.7149747541 -1.757172683 3.009168661e-16 -10 -90 2.39750191401307 0.9163218383 -1.661078473 2.891487194e-16 -15 -90 2.32374479884641 1.101429410 -1.544565115 2.748799483e-16 -20 -90 2.24626397435274 1.268267526 -1.410797681 2.584981624e-16 -25 -90 2.16606494502040 1.415418602 -1.263121527 2.404130494e-16 -30 -90 2.08416390583028 1.542081953 -1.104938888 2.210412632e-16 -35 -90 2.00157331576119 1.648055290 -0.9395928734 2.007922164e-16 -40 -90 1.91926671831677 1.733680866 -0.7702436044 1.800529124e-16 -45 -90 1.83815525306009 1.799772044 -0.5997720443 1.591761674e-16 - --45 -85 2.73710170787843 -1.431730214 -1.231730214 0.1690044947 --40 -85 2.74971963272373 -1.263529518 -1.401692639 0.1838742801 --35 -85 2.75291357453642 -1.074966952 -1.549285913 0.1967870184 --30 -85 2.74666439139583 -0.8694071432 -1.671882748 0.2075128517 --25 -85 2.73107412355104 -0.6505904889 -1.767449266 0.2158738386 --20 -85 2.70636315765695 -0.4225183664 -1.834598381 0.2217486249 --15 -85 2.67288058407668 -0.1893353258 -1.872634459 0.2250763506 --10 -85 2.63108091744295 0.04480403432 -1.881544605 0.2258558873 --5 -85 2.58151842770244 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+-35 -65 2.64884461044551 -0.9192968014 -1.326965898 0.9451897210 +-30 -65 2.63266712942261 -0.7205645858 -1.414079876 0.9858116363 +-25 -65 2.60955198676185 -0.5158506265 -1.478498699 1.015850627 +-20 -65 2.58005569897185 -0.3082419548 -1.520626520 1.035495152 +-15 -65 2.54470073724852 -0.1005129114 -1.541144696 1.045062935 +-10 -65 2.50397422588363 0.1048623322 -1.540937072 1.044966118 +-5 -65 2.45832370863036 0.3056853269 -1.521026877 1.035681842 +-2.84217e-14 -65 2.40816326933419 0.5000000000 -1.482537123 1.017733775 +5 -65 2.35388338849035 0.6860593377 -1.426667962 0.9916815569 +10 -65 2.29586317826532 0.8622968689 -1.354687646 0.9581165845 +15 -65 2.23448727555221 1.027306979 -1.267936438 0.9176638320 +20 -65 2.17014438078432 1.179830958 -1.167820205 0.8709788656 +25 -65 2.10324088018236 1.318753018 -1.055821514 0.8187530184 +30 -65 2.03422764707800 1.443114379 -0.9335220221 0.7617238287 +35 -65 1.96360037290528 1.552131075 -0.8025988981 0.7006733733 +40 -65 1.89191210336564 1.645224909 -0.6648258997 0.6364287691 +45 -65 1.81977755147681 1.722058757 -0.5220587566 0.5698553569 + +-45 -60 2.62044608060182 -1.215484646 -1.015484646 0.9904355219 +-40 -60 2.61450242529158 -1.036958476 -1.131675785 1.057518508 +-35 -60 2.60130720476571 -0.8488100229 -1.226300346 1.112150023 +-30 -60 2.58159358857932 -0.6545237509 -1.299693795 1.154523751 +-25 -60 2.55603464111672 -0.4571163266 -1.352542586 1.185036015 +-20 -60 2.52522962813732 -0.2591511430 -1.385750623 1.204208684 +-15 -60 2.48969928292677 -0.06278313923 -1.400335269 1.212629133 +-10 -60 2.44988797819730 0.1301801338 -1.397352684 1.210907136 +-5 -60 2.40616667228846 0.3182120432 -1.377845855 1.199644863 +-2.84217e-14 -60 2.35884495737414 0.5000000000 -1.342819657 1.179422479 +5 -60 2.30818820927467 0.6743855999 -1.293236527 1.150795646 +10 -60 2.25443181631263 0.8403150185 -1.230022377 1.114298939 +15 -60 2.19779309336065 0.9967993143 -1.154080282 1.070453750 +20 -60 2.13848192773881 1.142884505 -1.066310661 1.019779936 +25 -60 2.07672301423326 1.277636371 -0.9676465795 0.9628162016 +30 -60 2.01278291320903 1.400143884 -0.8590949405 0.9001438836 +35 -60 1.94697360037529 1.509529940 -0.7417581716 0.8323994685 +40 -60 1.87968388771073 1.604988871 -0.6168744567 0.7602978221 +45 -60 1.81137673847424 1.685824431 -0.4858244309 0.6846360544 + +-45 -55 2.57475906006893 -1.131592051 -0.9315920506 1.142453053 +-40 -55 2.56316315396585 -0.9518909004 -1.030296197 1.211566440 +-35 -55 2.54538392090787 -0.7664374740 -1.108660154 1.266437474 +-30 -55 2.52227134168543 -0.5783594209 -1.167773306 1.307828948 +-25 -55 2.49454511857590 -0.3901308878 -1.208891849 1.336620462 +-20 -55 2.46279928745120 -0.2036668326 -1.233308733 1.353717349 +-15 -55 2.42750991132928 -0.02042817961 -1.242264408 1.359988180 +-10 -55 2.38904471606618 0.1584738666 -1.236890951 1.356225645 +-5 -55 2.34767573959423 0.3321806709 -1.218183708 1.343126692 +-2.84217e-14 -55 2.30359794911752 0.5000000000 -1.186996969 1.321289502 +5 -55 2.25694907342285 0.6613338984 -1.144054897 1.291221140 +10 -55 2.20782869146826 0.8156203779 -1.089972111 1.253351965 +15 -55 2.15630562112009 0.9622853253 -1.025272322 1.208048685 +20 -55 2.10242647513631 1.100701724 -0.9504144233 1.155632620 +25 -55 2.04625585246609 1.230167406 -0.8658490554 1.096419312 +30 -55 1.98788087507491 1.349888763 -0.7720505175 1.030740869 +35 -55 1.92743020052521 1.458979042 -0.6695640077 0.9589790422 +40 -55 1.86511246478907 1.556483592 -0.5590681163 0.8816089862 +45 -55 1.80122785621309 1.641415170 -0.4414151705 0.7992275066 + +-45 -50 2.52064290086322 -1.032854375 -0.8328543752 1.286217541 +-40 -50 2.50343265839934 -0.8536466017 -0.9132132006 1.353646602 +-35 -50 2.48135904350590 -0.6728989388 -0.9750732815 1.405553373 +-30 -50 2.45530448344377 -0.4931258460 -1.020144424 1.443372551 +-25 -50 2.42596134830559 -0.3160799817 -1.050089168 1.468499176 +-20 -50 2.39385056912416 -0.1429246045 -1.066420833 1.482203070 +-15 -50 2.35934933231562 0.02560807674 -1.070454760 1.485587936 +-10 -50 2.32271723835756 0.1890841064 -1.063291655 1.479577377 +-5 -50 2.28411537702142 0.3472607659 -1.045817434 1.464914765 +-2.84217e-14 -50 2.24362416735139 0.5000000000 -1.018715826 1.442173816 +5 -50 2.20126449777616 0.6471989799 -0.9824920387 1.411778449 +10 -50 2.15701518575098 0.7887352335 -0.9374988802 1.374024706 +15 -50 2.11081968080785 0.9244203240 -0.8839582129 1.329098752 +20 -50 2.06260088869158 1.053959749 -0.8219919019 1.277102844 +25 -50 2.01227953605200 1.176919708 -0.7516589980 1.218086530 +30 -50 1.95978285374610 1.292696392 -0.6729904255 1.152075760 +35 -50 1.90508237602064 1.400502127 -0.5860503181 1.079124348 +40 -50 1.84819896434001 1.499351126 -0.4909802953 0.9993511265 +45 -50 1.78925360876848 1.588081625 -0.3880816246 0.9130088899 + +-45 -45 2.45773459865101 -0.9189737321 -0.7189737321 1.418973732 +-40 -45 2.43537947678159 -0.7427098661 -0.7810039474 1.481003947 +-35 -45 2.40968878665045 -0.5692092918 -0.8269891189 1.526989119 +-30 -45 2.38146941802933 -0.4001108336 -0.8590376962 1.559037696 +-25 -45 2.35129410163109 -0.2362974328 -0.8789949403 1.578994940 +-20 -45 2.31954765583896 -0.07813233705 -0.8884055415 1.588405542 +-15 -45 2.28646780152176 0.07435849844 -0.8885157096 1.588515710 +-10 -45 2.25218361959025 0.2213507658 -0.8802983359 1.580298336 +-5 -45 2.21674133655784 0.3631255651 -0.8644819498 1.564481950 +-2.84217e-14 -45 2.18011562060363 0.5000000000 -0.8415745391 1.541574539 +5 -45 2.14222877815724 0.6322735985 -0.8118941486 1.511894149 +10 -45 2.10296455365423 0.7601872500 -0.7755952204 1.475595220 +15 -45 2.06216952775418 0.8838868554 -0.7326852487 1.432685249 +20 -45 2.01967243343773 1.003390366 -0.6830536645 1.383053664 +25 -45 1.97528656103149 1.118552321 -0.6264897332 1.326489733 +30 -45 1.92882093408462 1.229025788 -0.5627097046 1.262709705 +35 -45 1.88009885623778 1.334223564 -0.4913947195 1.191394719 +40 -45 1.82898296780026 1.433281733 -0.4122418584 1.112241858 +45 -45 1.77540706530278 1.525031747 -0.3250317471 1.025031747 diff --git a/test/checkpointML/phi.d.asc b/test/checkpointML/phi.d.asc index ee36561..97bd08a 100644 --- a/test/checkpointML/phi.d.asc +++ b/test/checkpointML/phi.d.asc @@ -1,5 +1,5 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400 +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500 # parameter filename: "checkpointML.par" # # phi d (phi) @@ -31,23 +31,23 @@ # iteration 1 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -1 0 0 0 0 0 0 0 0.05 -0.6 -3 -0.6 0.041711206368217 -1 0 0 0 0 1 1 1 0.05 -0.4 -2.8 -0.4 0.0447963535591093 -1 0 0 0 0 2 2 2 0.05 -0.2 -2.6 -0.2 0.048127214120949 -1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783 -1 0 0 0 0 4 4 4 0.05 0.2 -2.2 0.2 0.0550323627082729 -1 0 0 0 0 5 5 5 0.05 0.4 -2 0.4 0.0577465252800712 -1 0 0 0 0 6 6 6 0.05 0.6 -1.8 0.6 0.0593727676256391 -1 0 0 0 0 7 7 7 0.05 0.8 -1.6 0.8 0.0595671303696431 -1 0 0 0 0 8 8 8 0.05 1 -1.4 1 0.0583563592410243 -1 0 0 0 0 9 9 9 0.05 1.2 -1.2 1.2 0.0560944399742688 -1 0 0 0 0 10 10 10 0.05 1.4 -1 1.4 0.0532162129214042 -1 0 0 0 0 11 11 11 0.05 1.6 -0.8 1.6 0.0500740131589569 -1 0 0 0 0 12 12 12 0.05 1.8 -0.6 1.8 0.0469049811989668 -1 0 0 0 0 13 13 13 0.05 2 -0.4 2 0.0438534969967869 -1 0 0 0 0 14 14 14 0.05 2.2 -0.2 2.2 0.0409934532530171 -1 0 0 0 0 15 15 15 0.05 2.4 0 2.4 0.0383609033530864 -1 0 0 0 0 16 16 16 0.05 2.6 0.2 2.6 0.0358557087278643 +1 0 0 0 0 0 0 0 0.05 -0.6 -3 -0.6 0.0417112063682171 +1 0 0 0 0 1 1 1 0.05 -0.4 -2.8 -0.4 0.0447963535591091 +1 0 0 0 0 2 2 2 0.05 -0.2 -2.6 -0.2 0.0481272141209426 +1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289333582 +1 0 0 0 0 4 4 4 0.05 0.2 -2.2 0.2 0.0550323627082798 +1 0 0 0 0 5 5 5 0.05 0.4 -2 0.4 0.0577465252800649 +1 0 0 0 0 6 6 6 0.05 0.6 -1.8 0.6 0.0593727676257279 +1 0 0 0 0 7 7 7 0.05 0.8 -1.6 0.8 0.0595671303695815 +1 0 0 0 0 8 8 8 0.05 1 -1.4 1 0.0583563592410557 +1 0 0 0 0 9 9 9 0.05 1.2 -1.2 1.2 0.0560944399742274 +1 0 0 0 0 10 10 10 0.05 1.4 -1 1.4 0.05321621292138 +1 0 0 0 0 11 11 11 0.05 1.6 -0.8 1.6 0.0500740131590542 +1 0 0 0 0 12 12 12 0.05 1.8 -0.6 1.8 0.0469049811992331 +1 0 0 0 0 13 13 13 0.05 2 -0.4 2 0.0438534969966013 +1 0 0 0 0 14 14 14 0.05 2.2 -0.2 2.2 0.040993453252921 +1 0 0 0 0 15 15 15 0.05 2.4 0 2.4 0.0383609033532783 +1 0 0 0 0 16 16 16 0.05 2.6 0.2 2.6 0.0358557087278534 1 0 0 0 0 17 17 17 0.05 2.8 0.4 2.8 0.0336898595175759 1 0 0 0 0 18 18 18 0.05 3 0.6 3 0.0317290034219846 diff --git a/test/checkpointML/phi.x.asc b/test/checkpointML/phi.x.asc index 7b3707e..ffc34e1 100644 --- a/test/checkpointML/phi.x.asc +++ b/test/checkpointML/phi.x.asc @@ -1,5 +1,5 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400 +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500 # parameter filename: "checkpointML.par" # # phi x (phi) @@ -39,16 +39,16 @@ 1 0 0 0 0 5 15 3 0.05 0.4 0 0 0 1 0 0 0 0 6 15 3 0.05 0.6 0 0 0 1 0 0 0 0 7 15 3 0.05 0.8 0 0 -5.55861217568079e-06 -1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306211 -1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469049 -1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964650638 -1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993777 -1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841719 -1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390393134 -1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185975121 -1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933121 -1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099652895 -1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620374 -1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045829 +1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306166 +1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469298 +1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964651063 +1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993047 +1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841865 +1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390392576 +1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185974614 +1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933196 +1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099653047 +1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620408 +1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045797 diff --git a/test/checkpointML/phi.y.asc b/test/checkpointML/phi.y.asc index 5c59400..7ed7256 100644 --- a/test/checkpointML/phi.y.asc +++ b/test/checkpointML/phi.y.asc @@ -1,5 +1,5 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400 +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500 # parameter filename: "checkpointML.par" # # phi y (phi) @@ -15,7 +15,7 @@ 0 0 0 0 0 3 5 3 0 0 -2 0 0.0597502314947582 0 0 0 0 0 3 6 3 0 0 -1.8 0 0.0648868128770822 0 0 0 0 0 3 7 3 0 0 -1.6 0 0.0711445106729648 -0 0 0 0 0 3 8 3 0 0 -1.4 0 0.0790192257126239 +0 0 0 0 0 3 8 3 0 0 -1.4 0 0.0790192257126238 0 0 0 0 0 3 9 3 0 0 -1.2 0 0.089426986060179 0 0 0 0 0 3 10 3 0 0 -1 0 0 0 0 0 0 0 3 11 3 0 0 -0.8 0 0 @@ -43,17 +43,17 @@ # iteration 1 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -1 0 0 0 0 3 0 3 0.05 0 -3 0 0.0431061011045822 -1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.0455714836620247 -1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653222 -1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783 -1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185978202 -1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390393163 -1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424165 -1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039991319 -1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964652108 -1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.100181376469625 -1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306342 +1 0 0 0 0 3 0 3 0.05 0 -3 0 0.043106101104579 +1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.045571483662028 +1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653387 +1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289333582 +1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185977719 +1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390392624 +1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424791 +1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039990124 +1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964653602 +1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.10018137646976 +1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306257 1 0 0 0 0 3 11 3 0.05 0 -0.8 0 -5.55861217568079e-06 1 0 0 0 0 3 12 3 0.05 0 -0.6 0 0 1 0 0 0 0 3 13 3 0.05 0 -0.4 0 0 @@ -63,16 +63,16 @@ 1 0 0 0 0 3 17 3 0.05 0 0.4 0 0 1 0 0 0 0 3 18 3 0.05 0 0.6 0 0 1 0 0 0 0 3 19 3 0.05 0 0.8 0 -5.55861217568079e-06 -1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306577 -1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376468984 -1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964650271 -1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039993438 -1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.0648908828419115 -1 0 0 0 0 3 25 3 0.05 0 2 0 0.059753039039337 -1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185977353 -1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289337347 -1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653856 -1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.045571483662046 -1 0 0 0 0 3 30 3 0.05 0 3 0 0.0431061011045644 +1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306539 +1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376469254 +1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964652248 +1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039995225 +1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.064890882842076 +1 0 0 0 0 3 25 3 0.05 0 2 0 0.0597530390392854 +1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185976853 +1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289338113 +1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653985 +1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.0455714836620504 +1 0 0 0 0 3 30 3 0.05 0 3 0 0.043106101104561 diff --git a/test/checkpointML/phi.z.asc b/test/checkpointML/phi.z.asc index 8dbe480..143469c 100644 --- a/test/checkpointML/phi.z.asc +++ b/test/checkpointML/phi.z.asc @@ -1,5 +1,5 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:16:04-0400 +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500 # parameter filename: "checkpointML.par" # # phi z (phi) @@ -25,7 +25,7 @@ 0 0 0 0 0 3 15 15 0 0 0 2.4 0.0482528228160437 0 0 0 0 0 3 15 16 0 0 0 2.6 0.0456930193901241 0 0 0 0 0 3 15 17 0 0 0 2.8 0.0433778698244126 -0 0 0 0 0 3 15 18 0 0 0 3 0.0412767864358355 +0 0 0 0 0 3 15 18 0 0 0 3 0.0412767864358354 # iteration 1 @@ -39,16 +39,16 @@ 1 0 0 0 0 3 15 5 0.05 0 0 0.4 0 1 0 0 0 0 3 15 6 0.05 0 0 0.6 0 1 0 0 0 0 3 15 7 0.05 0 0 0.8 -2.98923381217742e-06 -1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200577 -1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250962441 -1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.0659748462403934 -1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745610345 -1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.0577632417394683 -1 0 0 0 0 3 15 13 0.05 0 0 2 0.0542514864848703 -1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564456756 -1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970911499 -1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.045451090264976 -1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523133 -1 0 0 0 0 3 15 18 0.05 0 0 3 0.041076371737518 +1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200675 +1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250963386 +1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.065974846240459 +1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745608533 +1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.057763241739307 +1 0 0 0 0 3 15 13 0.05 0 0 2 0.054251486484966 +1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564457798 +1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970910749 +1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.0454510902649566 +1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523085 +1 0 0 0 0 3 15 18 0.05 0 0 3 0.0410763717375216 diff --git a/test/recoverML.par b/test/recoverML.par index e6b4318..27a192c 100644 --- a/test/recoverML.par +++ b/test/recoverML.par @@ -93,8 +93,8 @@ AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics" AHFinderDirect::output_OpenDX_control_files = "no" AHFinderDirect::Theta_norm_for_convergence = 1.0e-12 -AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation" -AHFinderDirect::geometry_interpolator_pars = "order=4" +AHFinderDirect::geometry_interpolator_name = "Hermite polynomial interpolation" +AHFinderDirect::geometry_interpolator_pars = "order=3" AHFinderDirect::N_horizons = 1 AHFinderDirect::origin_x[1] = 0.5 diff --git a/test/recoverML/BH_diagnostics.ah1.gp b/test/recoverML/BH_diagnostics.ah1.gp index bff2f70..ee1e8cf 100644 --- a/test/recoverML/BH_diagnostics.ah1.gp +++ b/test/recoverML/BH_diagnostics.ah1.gp @@ -40,4 +40,4 @@ # column 38 = minimum of the mean curvature # column 39 = maximum of the mean curvature # column 40 = integral of the mean curvature -2 0.100 0.000025 -0.000013 0.000000 1.036220227 2.756604286 1.995758679 1.198843913 6.713718201e-06 0.000000000 1.198865374 0.000000000 1.078924956 -1.895525243 1.895843709 -1.896024064 1.895591501 -1.798534374 1.798534374 12.56769037 10.83703425 11.22790773 0.8622932236 0.8933946811 45.23884092 0.9486823198 1.897364640 6.230520114e-16 -1.468391054 -8.852912327e-16 0.7341955270 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7064699811 0.7472059838 33.14697223 +2 0.100 0.000040 0.000011 0.000000 1.036183212 2.756504825 1.995706450 1.198783043 5.603037915e-06 0.000000000 1.198796616 -0.000000000 1.078878092 -1.895491341 1.895887231 -1.896001049 1.895626797 -1.798539976 1.798539976 12.56741403 10.83674085 11.22768168 0.8622888386 0.8933963385 45.23657989 0.9486586121 1.897317224 -3.301036716e-14 -1.468460544 4.892824753e-14 0.7342302721 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7064618973 0.7471938879 33.14710906 diff --git a/test/recoverML/h.t2.ah1.gp b/test/recoverML/h.t2.ah1.gp index bf82893..a06eab6 100644 --- a/test/recoverML/h.t2.ah1.gp +++ b/test/recoverML/h.t2.ah1.gp @@ -9,385 +9,385 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -45 2.45714467550453 -0.9186331398 -0.7186331398 1.418633140 --40 -45 2.43478747214730 -0.7424077817 -0.7806439373 1.480643937 --35 -45 2.40909508157848 -0.5689458574 -0.8266128956 1.526612896 --30 -45 2.38087235776951 -0.3998851660 -0.8586468285 1.558646829 --25 -45 2.35069101064597 -0.2361085775 -0.8785899388 1.578589939 --20 -45 2.31893726351434 -0.07798020069 -0.8879875503 1.587987550 --15 -45 2.28585285476974 0.07447297495 -0.8880884775 1.588088477 --10 -45 2.25156681213922 0.2214270797 -0.8798655382 1.579865538 --5 -45 2.21612224235185 0.3631637916 -0.8640450194 1.564045019 -0 -45 2.17949468287513 0.5000000000 -0.8411354698 1.541135470 -5 -45 2.14160602657117 0.6322351462 -0.8114546370 1.511454637 -10 -45 2.10234035278370 0.7601100213 -0.7751572350 1.475157235 -15 -45 2.06154778917881 0.8837711145 -0.7322532979 1.432253298 -20 -45 2.01905479083745 1.003236423 -0.6826307083 1.382630708 -25 -45 1.97467223898553 1.118359949 -0.6260771895 1.326077190 -30 -45 1.92820920666634 1.228794577 -0.5623092350 1.262309235 -35 -45 1.87948813646255 1.333952580 -0.4910077141 1.191007714 -40 -45 1.82837156393733 1.432969750 -0.4118700512 1.111870051 -45 -45 1.77479113421222 1.524676139 -0.3246761391 1.024676139 - --45 -40 2.40916551708244 -0.9650627037 -0.5293335743 1.465062704 --40 -40 2.38522701221546 -0.7897308935 -0.5897308935 1.537041426 --35 -40 2.35781208261793 -0.6145002561 -0.6355708170 1.591671319 --30 -40 2.32770813624210 -0.4415154526 -0.6683639053 1.630752600 --25 -40 2.29550308472132 -0.2721945433 -0.6895293057 1.655976542 --20 -40 2.26162131768096 -0.1074113439 -0.7003305398 1.668848952 --15 -40 2.22634668283285 0.05235078153 -0.7018414861 1.670649627 --10 -40 2.18985937550495 0.2068682862 -0.6949465472 1.662432559 --5 -40 2.15226189393757 0.3560778337 -0.6803506856 1.645037889 -0 -40 2.11358706381020 0.5000000000 -0.6585875766 1.619101625 -5 -40 2.07381749267752 0.6386765741 -0.6300404592 1.585080496 -10 -40 2.03290528088967 0.7721220438 -0.5949663499 1.543280800 -15 -40 1.99077588368347 0.9002832422 -0.5535119731 1.493877397 -20 -40 1.94734264619312 1.023004450 -0.5057382717 1.436942917 -25 -40 1.90251641551851 1.139996001 -0.4516439823 1.372475853 -30 -40 1.85622053506711 1.250807324 -0.3911957306 1.300436432 -35 -40 1.80840567814520 1.354804590 -0.3243623174 1.220787472 -40 -40 1.75907309291160 1.451159324 -0.2511593237 1.133547541 -45 -40 1.70829660316243 1.538850018 -0.1716986667 1.038850018 - --45 -35 2.35996178818068 -0.9954777528 -0.3471447958 1.495477753 --40 -35 2.33391335212332 -0.8220335011 -0.4032037065 1.575538174 --35 -35 2.30439748305349 -0.6465364041 -0.4465364041 1.637423680 --30 -35 2.27217543957385 -0.4714346552 -0.4781511238 1.682574179 --25 -35 2.23783520838702 -0.2985288484 -0.4990708480 1.712450642 --20 -35 2.20182988465719 -0.1291030977 -0.5102713076 1.728446556 --15 -35 2.16448640819684 0.03596081484 -0.5126318894 1.731817816 --10 -35 2.12603405297137 0.1960725831 -0.5069183488 1.723658034 --5 -35 2.08662478737592 0.3508414233 -0.4937770628 1.704890333 -0 -35 2.04634803133899 0.5000000000 -0.4737370113 1.676270173 -5 -35 2.00524595577702 0.6433413589 -0.4472194914 1.638399230 -10 -35 1.96333865496801 0.7806692796 -0.4145585577 1.591754583 -15 -35 1.92062128641482 0.9117575113 -0.3760088908 1.536699953 -20 -35 1.87708228998931 1.036316766 -0.3317685546 1.473518205 -25 -35 1.83271487044962 1.153969376 -0.2820003571 1.402441853 -30 -35 1.78752954392539 1.264231545 -0.2268562208 1.323687864 -35 -35 1.74156560146699 1.366503447 -0.1665034469 1.237495171 -40 -35 1.69490868355667 1.460072515 -0.1011563669 1.144169868 -45 -35 1.64770411727279 1.544129131 -0.03110708825 1.044129131 - --45 -30 2.31022496516758 -1.012397254 -0.1731829615 1.512397254 --40 -30 2.28163410205510 -0.8412788750 -0.2228793468 1.598473918 --35 -30 2.24970090216795 -0.6664977977 -0.2618260026 1.665931505 --30 -30 2.21515880977434 -0.4906491359 -0.2906491359 1.715854636 --25 -30 2.17860193911468 -0.3157852995 -0.3100495971 1.749457220 --20 -30 2.14050333088300 -0.1434921926 -0.3207438841 1.767980269 --15 -30 2.10122815405951 0.02502867118 -0.3234209779 1.772617131 --10 -30 2.06104997371398 0.1888767028 -0.3187160164 1.764467899 --5 -30 2.02016863279249 0.3473745263 -0.3071974446 1.744517147 -0 -30 1.97872486102570 0.5000000000 -0.2893624305 1.713625997 -5 -30 1.93681689695230 0.6463281785 -0.2656406884 1.672538734 -10 -30 1.89451923424517 0.7859848515 -0.2364047994 1.621900689 -15 -30 1.85188503672026 0.9186086575 -0.2019762997 1.562268778 -20 -30 1.80896164623100 1.043821950 -0.1626412817 1.494138529 -25 -30 1.76580131319363 1.161210626 -0.1186658026 1.417970764 -30 -30 1.72246736554697 1.270310824 -0.07031082368 1.334217484 -35 -30 1.67904759846153 1.370606988 -0.01785171010 1.243355634 -40 -30 1.63566458920674 1.461539959 0.03840353002 1.145918700 -45 -30 1.59248175331773 1.542524025 0.09809847333 1.042524025 - --45 -25 2.26038164773462 -1.017943324 -0.007828596728 1.517943324 --40 -25 2.22892787715677 -0.8492295550 -0.04979901164 1.607949169 --35 -25 2.19435179514531 -0.6757716824 -0.08301262099 1.679175985 --30 -25 2.15735956452990 -0.5002011473 -0.1078310162 1.732399205 --25 -25 2.11855671844161 -0.3247151928 -0.1247151928 1.768607438 --20 -25 2.07843735083336 -0.1511023262 -0.1341726118 1.788888939 --15 -25 2.03739876277414 0.01920308554 -0.1367231160 1.794358513 --10 -25 1.99575278437456 0.1850618139 -0.1328736047 1.786103209 --5 -25 1.95374295328444 0.3455691893 -0.1231040089 1.765152243 -0 -25 1.91155457303879 0.5000000000 -0.1078578709 1.732456795 -5 -25 1.86933063777197 0.6477585602 -0.08754144163 1.688888072 -10 -25 1.82718182031441 0.7883369788 -0.06252505873 1.635240266 -15 -25 1.78520801044180 0.9212835105 -0.03315289895 1.572251466 -20 -25 1.74349413013758 1.046176233 0.0002555253144 1.500606869 -25 -25 1.70212143366736 1.162604590 0.03739540978 1.420960129 -30 -25 1.66117973836928 1.270160852 0.07796529693 1.333957726 -35 -25 1.62076938425545 1.368436296 0.1216593317 1.240255565 -40 -25 1.58101271238195 1.457029207 0.1681560667 1.140542995 -45 -25 1.54205515607331 1.535556244 0.2171121928 1.035556244 - --45 -20 2.21066481365495 -1.013843543 0.1490060112 1.513843543 --40 -20 2.17613968954347 -0.8474027868 0.1155467483 1.605772112 --35 -20 2.13878739043982 -0.6756189839 0.08890929671 1.678957909 --30 -20 2.09930400937434 -0.5010971240 0.06889341847 1.733951082 --25 -20 2.05830030700404 -0.3260906889 0.05520591114 1.771557199 --20 -20 2.01629017204287 -0.1525029077 0.04749709234 1.792737005 --15 -20 1.97369879037587 0.01808416691 0.04538702254 1.798534374 --10 -20 1.93086829399578 0.1843716553 0.04848698645 1.790017293 --5 -20 1.88807827177920 0.3452983816 0.05641051052 1.768247590 -0 -20 1.84554694885890 0.5000000000 0.06878576804 1.734246849 -5 -20 1.80344819355048 0.6477673667 0.08525837644 1.688988730 -10 -20 1.76191857052918 0.7880110693 0.1054939526 1.633391941 -15 -20 1.72108072850042 0.9202343626 0.1291723815 1.568335992 -20 -20 1.68103484899795 1.044009063 0.1559909372 1.494652616 -25 -20 1.64187167282421 1.158958703 0.1856585574 1.413141500 -30 -20 1.60367909904400 1.264747996 0.2178914395 1.324582384 -35 -20 1.56654673354684 1.361077678 0.2524089260 1.229746369 -40 -20 1.53057257762819 1.447686293 0.2889289073 1.129408545 -45 -20 1.49586321829207 1.524353787 0.3271657122 1.024353787 - --45 -15 2.16117015584705 -1.001465597 0.2976835057 1.501465597 --40 -15 2.12347163387902 -0.8370651812 0.2730357609 1.593452233 --35 -15 2.08331042680968 -0.6671538567 0.2533639439 1.666868454 --30 -15 2.04138437342429 -0.4942735575 0.2385560361 1.722132318 --25 -15 1.99830299492706 -0.3206671856 0.2284291266 1.759926459 --20 -15 1.95459562479068 -0.1482770663 0.2227485656 1.781126601 --15 -15 1.91070752002172 0.02124776026 0.2212477603 1.786727683 --10 -15 1.86700584572717 0.1865280047 0.2236431336 1.777788028 --5 -15 1.82378899378097 0.3464234529 0.2296452121 1.755387966 -0 -15 1.78129512137898 0.5000000000 0.2389668976 1.720598962 -5 -15 1.73971289867258 0.6464967169 0.2513284189 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0.5000000000 1.577954898 0.8779548979 +5 45 1.22133375962674 0.5754122122 1.561965530 0.8619655302 +10 45 1.20282872658431 0.6488188177 1.543993455 0.8439934552 +15 45 1.18599009145860 0.7207801059 1.523962573 0.8239625725 +20 45 1.17076003730276 0.7918044106 1.501726029 0.8017260289 +25 45 1.15713535039525 0.8623518586 1.477066069 0.7770660685 +30 45 1.14517529538395 0.9328355770 1.449693211 0.7496932107 +35 45 1.13500581555259 1.003616389 1.419238741 0.7192387415 +40 45 1.12682847487296 1.074990829 1.385247386 0.6852473856 +45 45 1.12093446930670 1.147171818 1.347171818 0.6471718176 ### +x patch @@ -398,205 +398,205 @@ # dpy = dsigma = dphi # # dpx dpy gridfn global_x global_y global_z -45 -45 1.77479137626204 1.524676279 -0.3246762788 1.024676279 -45 -40 1.70829682104711 1.538850150 -0.1716987779 1.038850150 -45 -35 1.64770423563397 1.544129206 -0.03110714077 1.044129206 -45 -30 1.59248189855382 1.542524120 0.09809841844 1.042524120 -45 -25 1.54205521216877 1.535556282 0.2171121753 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1.18420514065352 1.666214404 0.9056350647 0.000000000 +90 15 1.15175677454483 1.612511614 0.9980965886 0.000000000 +90 20 1.12360511540350 1.555843436 1.084295583 0.000000000 +90 25 1.09960690994214 1.496582305 1.164713961 0.000000000 +90 30 1.07961898483541 1.434977467 1.239809492 0.000000000 +90 35 1.06351971643297 1.371184350 1.310009849 0.000000000 +90 40 1.05120240878871 1.305267764 1.375699884 0.000000000 +90 45 1.04257697933725 1.237213252 1.437213252 0.000000000 ### +y patch @@ -607,205 +607,205 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z -45 45 1.12100444882590 1.147212220 1.347212220 0.6472122203 -40 45 1.12690280604126 1.075028758 1.385292588 0.6852925879 -35 45 1.13508304491740 1.003650656 1.419287681 0.7192876808 -30 45 1.14525446360973 0.9328654998 1.449745038 0.7497450385 -25 45 1.15721491827626 0.8623767750 1.477119502 0.7771195018 -20 45 1.17083854228670 0.7918239774 1.501779788 0.8017797884 -15 45 1.18606747607352 0.7207945116 1.524016335 0.8240163352 -10 45 1.20290401204120 0.6488281323 1.544046281 0.8440462811 -5 45 1.22140532411593 0.5754166311 1.562016037 0.8620160374 -0 45 1.24168304270882 0.5000000000 1.578002500 0.8780024996 --5 45 1.26390354975766 0.4219592826 1.592009481 0.8920094813 --10 45 1.28828816802745 0.3406077958 1.603958110 0.9039581100 --15 45 1.31511945066716 0.2551815874 1.613674755 0.9136747546 --20 45 1.34474517924155 0.1648309116 1.620869502 0.9208695020 --25 45 1.37758417745257 0.06861555827 1.625106921 0.9251069207 --30 45 1.41413147347671 -0.03449145714 1.625766360 0.9257663600 --35 45 1.45495785332458 -0.1455831411 1.621988276 0.9219882762 --40 45 1.50070245563511 -0.2657688526 1.612607781 0.9126077812 --45 45 1.55204795767159 -0.3960753062 1.596075306 0.8960753062 - -45 50 1.10162199429910 1.169918810 1.369918810 0.5621286268 -40 50 1.10538728417281 1.097700815 1.412312094 0.5977008152 -35 50 1.11182476893536 1.025541878 1.450551585 0.6297875585 -30 50 1.12066320578049 0.9532878109 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1.10644305305588 0.6808641172 1.725731380 0.3733356905 -5 70 1.12701954521343 0.5923434956 1.755490985 0.3841673010 -0 70 1.15109995185785 0.5000000000 1.781680131 0.3936993705 --5 70 1.17882886077826 0.4034114553 1.804012118 0.4018275492 --10 70 1.21037503048608 0.3021466982 1.822081834 0.4084043879 --15 70 1.24593026219226 0.1957825970 1.835354804 0.4132353542 --20 70 1.28569658666055 0.08392855711 1.843146894 0.4160714429 --25 70 1.32987686145020 -0.03374081950 1.844610881 0.4166042906 --30 70 1.37865764533507 -0.1574417986 1.838722598 0.4144611308 --35 70 1.43218953403263 -0.2872260760 1.824275351 0.4092027630 --40 70 1.49055865606229 -0.4229108300 1.799882297 0.4003244174 --45 70 1.55376564441002 -0.5640048518 1.764004852 0.3872660952 - -45 75 1.04971326413138 1.229284711 1.429284711 0.1954112495 -40 75 1.04597464660827 1.158608412 1.484898941 0.2103130374 -35 75 1.04575648188998 1.085874623 1.536715675 0.2241972894 -30 75 1.04899894488102 1.010923825 1.584946024 0.2371205725 -25 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-1.449791539 1.222445068 2.387805967e-16 --90 10 2.10111806116033 -1.569197357 1.064855322 2.534035920e-16 --90 5 2.18276079625116 -1.674454732 0.8902401384 2.662939028e-16 --90 -2.84217e-14 2.26248671029747 -1.762486710 0.7000000000 2.770747108e-16 --90 -5 2.33926586937757 -1.830364257 0.4961195457 2.853873128e-16 --90 -10 2.41210033748579 -1.875455113 0.2811431720 2.909093501e-16 --90 -15 2.48003022318433 -1.895525243 0.05812094581 2.933672321e-16 --90 -20 2.54213689817817 -1.888827284 -0.1694620263 2.925469687e-16 --90 -25 2.59759029717956 -1.854216314 -0.3977890961 2.883083473e-16 --90 -30 2.64565182958587 -1.791201694 -0.6228259148 2.805912821e-16 --90 -35 2.68568454944638 -1.699983989 -0.8404453730 2.694203350e-16 --90 -40 2.71715005306632 -1.581457699 -1.046550388 2.549050509e-16 --90 -45 2.73963884858743 -1.437217208 -1.237217208 2.372406853e-16 - --85 45 1.55453061422108 -0.5971217283 1.797121728 0.09598571373 --85 40 1.62423654420204 -0.7414523822 1.741702236 0.1086130097 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2.30848544419054 -1.565983970 0.3357112844 0.9633841467 +-65 -15 2.37121856219271 -1.588357120 0.1404263961 0.9738169181 +-65 -20 2.43080142152721 -1.592164950 -0.06148576690 0.9755925382 +-65 -25 2.48661015475786 -1.575864752 -0.2679916309 0.9679916309 +-65 -30 2.53796061602022 -1.538028813 -0.4766564840 0.9503484432 +-65 -35 2.58410203746214 -1.477423170 -0.6846066099 0.9220875676 +-65 -40 2.62422753921885 -1.393118452 -0.8885149947 0.8827756319 +-65 -45 2.65748051286739 -1.284612261 -1.084612261 0.8321783643 + +-60 45 1.55291356403524 -0.5166205650 1.716620565 0.5869461569 +-60 40 1.61588867057666 -0.6320640290 1.649914509 0.6535974719 +-60 35 1.68032072342173 -0.7442983991 1.571267119 0.7183960157 +-60 30 1.74577716945706 -0.8522731807 1.480735285 0.7807352849 +-60 25 1.81186980491418 -0.9549646062 1.378461138 0.8400242071 +-60 20 1.87825145392576 -1.051369466 1.264652308 0.8956835790 +-60 15 1.94461129963085 -1.140493583 1.139568931 0.9471394118 +-60 10 2.01066126655866 -1.221330053 1.003516931 0.9938103694 +-60 5 2.07612424200278 -1.292837628 0.8568529680 1.035095287 +-60 -2.84217e-14 2.14073696959140 -1.353932598 0.7000000000 1.070368485 +-60 -5 2.20421629675994 -1.403451555 0.5334695673 1.098958268 +-60 -10 2.26624499586652 -1.440135658 0.3579017373 1.120137844 +-60 -15 2.32646508622482 -1.462629265 0.1741150735 1.133124534 +-60 -20 2.38445582045931 -1.469476422 -0.01683079485 1.137077743 +-60 -25 2.43971431515881 -1.459135236 -0.2135597639 1.131107256 +-60 -30 2.49164383421743 -1.430019015 -0.4142969978 1.114296998 +-60 -35 2.53953604749521 -1.380558035 -0.6167809123 1.085740688 +-60 -40 2.58256545678827 -1.309301290 -0.8181840451 1.044600587 +-60 -45 2.61978791159246 -1.215053773 -1.015053773 0.9901867574 + +-55 45 1.55248350338648 -0.4837890395 1.683789040 0.6888565015 +-55 40 1.61292316315114 -0.5888244903 1.613632228 0.7624031159 +-55 35 1.67411163666968 -0.6895647592 1.532942212 0.8329422116 +-55 30 1.73569431583613 -0.7853032331 1.442070168 0.8999790127 +-55 25 1.79739146650964 -0.8754114505 1.341364892 0.9630734658 +-55 20 1.85898688772076 -0.9593132309 1.231146579 1.021822125 +-55 15 1.92031011880163 -1.036450986 1.111690801 1.075834562 +-55 10 1.98123674857679 -1.106265259 0.9832279034 1.124719043 +-55 5 2.04165308147636 -1.168145908 0.8459438561 1.168048340 +-55 -2.84217e-14 2.10145609310903 -1.221412055 0.7000000000 1.205345697 +-55 -5 2.16053161731247 -1.265276388 0.5455583281 1.236059834 +-55 -10 2.21873441631017 -1.298813804 0.3828205931 1.259542985 +-55 -15 2.27587311009121 -1.320938946 0.2120808800 1.275035176 +-55 -20 2.33169131385323 -1.330388373 0.03379311511 1.281651737 +-55 -25 2.38583953521209 -1.325707464 -0.1513413719 1.278374129 +-55 -30 2.43784925736626 -1.305257702 -0.3422660203 1.264055051 +-55 -35 2.48711274106182 -1.267254706 -0.5374450674 1.237445067 +-55 -40 2.53285230725902 -1.209834470 -0.7347214735 1.197238985 +-55 -45 2.57410061302368 -1.131174801 -0.9311748010 1.142160892 + +-50 45 1.55214908436826 -0.4438935258 1.643893526 0.7920207094 +-50 40 1.60963806008522 -0.5372515346 1.570357380 0.8703573802 +-50 35 1.66714794131185 -0.6254296230 1.488034306 0.9443475816 +-50 30 1.72443086243899 -0.7081068364 1.397500807 1.013722001 +-50 25 1.78132850803267 -0.7850508643 1.299229059 1.078285706 +-50 20 1.83776346805106 -0.8560845102 1.193574397 1.137890012 +-50 15 1.89370849704712 -0.9210380707 1.080766003 1.192392521 +-50 10 1.94917502748686 -0.9797169468 0.9609140215 1.241629944 +-50 5 2.00419488670776 -1.031865864 0.8340208971 1.285388081 +-50 -2.84217e-14 2.05881120180192 -1.077140881 0.7000000000 1.323378331 +-50 -5 2.11305650554794 -1.115072042 0.5586995055 1.355206355 +-50 -10 2.16693675274848 -1.145030841 0.4099366786 1.380344772 +-50 -15 2.22042206343247 -1.166203795 0.2535420386 1.398110990 +-50 -20 2.27342142111517 -1.177556241 0.08941946214 1.407636823 +-50 -25 2.32575588493522 -1.177800920 -0.08237141798 1.407842133 +-50 -30 2.37713024810044 -1.165376888 -0.2615057948 1.397417133 +-50 -35 2.42709615177068 -1.138442420 -0.4472497332 1.374816430 +-50 -40 2.47500987057184 -1.094897543 -0.6382779398 1.338277940 +-50 -45 2.51998462540613 -1.032454064 -0.8324540645 1.285881640 + +-45 45 1.55201810980621 -0.3960580735 1.596058073 0.8960580735 +-45 40 1.60613565203543 -0.4767238590 1.519568630 0.9767238590 +-45 35 1.65955855259750 -0.5516411356 1.436367051 1.051641136 +-45 30 1.71217154043695 -0.6208793838 1.347140014 1.120879384 +-45 25 1.76395859317552 -0.6845739295 1.252375895 1.184573930 +-45 20 1.81496921769976 -0.7428747285 1.152369406 1.242874729 +-45 15 1.86530372928859 -0.7959134064 1.047238951 1.295913406 +-45 10 1.91509560986593 -0.8437724966 0.9369433471 1.343772497 +-45 5 1.96449385317405 -0.8864563822 0.8212992159 1.386456382 +-45 -2.84217e-14 2.01365353423442 -0.9238680690 0.7000000000 1.423868069 +-45 -5 2.06272566288667 -0.9557842242 0.5726353838 1.455784224 +-45 -10 2.11184368162348 -0.9818254722 0.4387141885 1.481825472 +-45 -15 2.16111876137377 -1.001429891 0.2976930731 1.501429891 +-45 -20 2.21061559941044 -1.013809841 0.1490182775 1.513809841 +-45 -25 2.26033342442666 -1.017910940 -0.007813495810 1.517910940 +-45 -30 2.31017926127042 -1.012367333 -0.1731656870 1.512367333 +-45 -35 2.35991579098133 -0.9954486050 -0.3471243862 1.495448605 +-45 -40 2.40911289371914 -0.9650307024 -0.5293067220 1.465030702 +-45 -45 2.45707900627819 -0.9185952257 -0.7185952257 1.418595226 ### -y patch @@ -1025,204 +1025,204 @@ # dpy = drho = dmu # # dpx dpy gridfn global_x global_y global_z --45 -90 2.73963886096990 -1.437217217 -1.237217217 2.372406864e-16 --40 -90 2.75285029863709 -1.269498063 -1.408805674 2.582542119e-16 --35 -90 2.75660428550331 -1.081123263 -1.558078036 2.765348039e-16 --30 -90 2.75084904614550 -0.8754245231 -1.682305156 2.917482384e-16 --25 -90 2.73565886814800 -0.6561393956 -1.779348935 3.036326737e-16 --20 -90 2.71122324590944 -0.4272929632 -1.847716477 3.120052829e-16 --15 -90 2.67787752385166 -0.1930857036 -1.886631060 3.167709448e-16 --10 -90 2.63607191963022 0.04225091496 -1.896024064 3.179212560e-16 --5 -90 2.58635033380137 0.2745847157 -1.876508490 3.155312875e-16 --2.84217e-14 -90 2.52938154499296 0.5000000000 -1.829381545 3.097599013e-16 -5 -90 2.46592614527158 0.7149196248 -1.756542552 3.008396973e-16 -10 -90 2.39684544042719 0.9162078429 -1.660431973 2.890695460e-16 -15 -90 2.32306635003464 1.101253814 -1.543909784 2.747996934e-16 -20 -90 2.24557071267512 1.268030417 -1.410146228 2.584183824e-16 -25 -90 2.16536498848296 1.415122787 -1.262487151 2.403353608e-16 -30 -90 2.08346472234044 1.541732361 -1.104333377 2.209671095e-16 -35 -90 2.00088123336336 1.647658327 -0.9390259527 2.007227887e-16 -40 -90 1.91858548690073 1.733242979 -0.7697217509 1.799890038e-16 -45 -90 1.83748439949538 1.799297679 -0.5992976792 1.591180744e-16 - --45 -85 2.73645785806338 -1.431275812 -1.231275812 0.1689647397 --40 -85 2.74907497993568 -1.263116071 -1.401199911 0.1838311720 --35 -85 2.75227620785757 -1.074602309 -1.548765148 0.1967414574 --30 -85 2.74604062886489 -0.8690961533 -1.671344098 0.2074657259 --25 -85 2.73046537380700 -0.6503340251 -1.766899278 0.2158257209 --20 -85 2.70576513697930 -0.4223145191 -1.834038315 0.2216996255 --15 -85 2.67228747486981 -0.1891823631 -1.872063595 0.2250264064 --10 -85 2.63048745867893 0.04490670696 -1.880962319 0.2258049439 --5 -85 2.58091769244753 0.2759077077 -1.861386621 0.2240922923 --2.84217e-14 -85 2.52423055064668 0.5000000000 -1.814625091 0.2200011885 -5 -85 2.46116956748436 0.7136949705 -1.742544689 0.2136949705 -10 -85 2.39257159855594 0.9139321341 -1.647525787 0.2053818937 -15 -85 2.31933806533441 1.098156787 -1.532351518 0.1953054508 -20 -85 2.24241899569824 1.264373659 -1.400099367 0.1837348869 -25 -85 2.16279156059593 1.411175342 -1.254021827 0.1709547582 -30 -85 2.08144454717711 1.537747837 -1.097431979 0.1572549216 -35 -85 1.99936648362101 1.643855792 -0.9335953690 0.1429210756 -40 -85 1.91750987184222 1.729792747 -0.7656099241 0.1282242535 -45 -85 1.83677246065054 1.796316044 -0.5963160442 0.1134129582 - --45 -80 2.72686203330368 -1.413367763 -1.213367763 0.3373783606 --40 -80 2.73771637390605 -1.243932987 -1.378338403 0.3664671355 --35 -80 2.73928667340882 -1.055052867 -1.520845652 0.3915950084 --30 -80 2.73163952339947 -0.8501685883 -1.638560594 0.4123513287 --25 -80 2.71494596300129 -0.6330094832 -1.729746678 0.4284298956 --20 -80 2.68948531680328 -0.4074853469 -1.793295499 0.4396352674 --15 -80 2.65564131791041 -0.1775731203 -1.828737311 0.4458846150 --10 -80 2.61388765001986 0.05279553020 -1.836222579 0.4472044698 --5 -80 2.56477463074211 0.2798359427 -1.816486690 0.4437245001 --2.84217e-14 -80 2.50892439480916 0.5000000000 -1.770808196 0.4356701491 -5 -80 2.44703067289790 0.7100567414 -1.700959541 0.4233539466 -10 -80 2.37985961912795 0.9071651125 -1.609148100 0.4071651125 -15 -80 2.30823464183430 1.088934107 -1.497932010 0.3875547152 -20 -80 2.23301899429411 1.253464614 -1.370127014 0.3650192461 -25 -80 2.15510222773888 1.399373798 -1.228713333 0.3400841987 -30 -80 2.07539532884733 1.525806501 -1.076748978 0.3132887828 -35 -80 1.99481854572626 1.632429230 -0.9172765475 0.2851694906 -40 -80 1.91427178721025 1.719396483 -0.7532201389 0.2562419194 -45 -80 1.83462291672750 1.787306913 -0.5873069127 0.2269869412 - --45 -75 2.71069725011403 -1.383247673 -1.183247673 0.5046146930 --40 -75 2.71868137431336 -1.211844955 -1.340097376 0.5466424443 --35 -75 2.71762741710831 -1.022523614 -1.474389065 0.5826257940 --30 -75 2.70773391726600 -0.8188247493 -1.584271472 0.6120686962 --25 -75 2.68929138150908 -0.6044437180 -1.668487197 0.6346342316 --20 -75 2.66267011988694 -0.3831228066 -1.726359970 0.6501411945 --15 -75 2.62830598007585 -0.1585557242 -1.757763423 0.6585557242 --10 -75 2.58669134096371 0.06569214943 -1.763082217 0.6599808909 --5 -75 2.53836169424182 0.2862511367 -1.743160687 0.6546429332 --2.84217e-14 -75 2.48388959350679 0.5000000000 -1.699253108 0.6428779327 -5 -75 2.42389343099983 0.7041097874 -1.632985545 0.6251215928 -10 -75 2.35903233626836 0.8960836947 -1.546302257 0.6018948757 -15 -75 2.29000306756402 1.073789597 -1.441411928 0.5737895968 -20 -75 2.21753794119064 1.235486651 -1.320732967 0.5414537667 -25 -75 2.14239284056876 1.379842300 -1.186827901 0.5055740124 -30 -75 2.06535538045598 1.505948840 -1.042354500 0.4668624812 -35 -75 1.98723568195370 1.613328941 -0.8899985073 0.4260388160 -40 -75 1.90884809599906 1.701925321 -0.7323988194 0.3838101069 -45 -75 1.83100578140566 1.772085024 -0.5720850240 0.3408541549 - --45 -70 2.68771481298330 -1.340523126 -1.140523126 0.6698956334 --40 -70 2.69182703888361 -1.166701486 -1.286297483 0.7229531604 --35 -70 2.68729363578533 -0.9771142880 -1.409537826 0.7678089768 --30 -70 2.67448301430801 -0.7753832898 -1.509028657 0.8040206778 --25 -70 2.65382876718038 -0.5651036815 -1.584122216 0.8313524980 --20 -70 2.62579534127697 -0.3497482748 -1.634664197 0.8497482748 --15 -70 2.59087396308165 -0.1326108069 -1.660935673 0.8593103099 --10 -70 2.54956644603045 0.08323649540 -1.663583287 0.8602739626 --5 -70 2.50237696665139 0.2949651916 -1.643558583 0.8529855666 --2.84217e-14 -70 2.44980952437008 0.5000000000 -1.602067932 0.8378842046 -5 -70 2.39237650188166 0.6960218081 -1.540539519 0.8154896937 -10 -70 2.33060517221817 0.8809711180 -1.460594575 0.7863921138 -15 -70 2.26504193379405 1.053052764 -1.364021013 0.7512422116 -20 -70 2.19625195673574 1.210741344 -1.252745795 0.7107413445 -25 -70 2.12482771917705 1.352791203 -1.128816636 0.6656348194 -30 -70 2.05139633900778 1.478251347 -0.9943810357 0.6167042625 -35 -70 1.97662176237036 1.586482031 -0.8516571469 0.5647570153 -40 -70 1.90120247245552 1.677169610 -0.7028961118 0.5106124265 -45 -70 1.82586895295919 1.750338770 -0.5503387700 0.4550860950 - --45 -65 2.65757928357065 -1.284678590 -1.084678590 0.8322092939 --40 -65 2.65697813461190 -1.108339805 -1.216744740 0.8937927511 --35 -65 2.64831115969164 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2.51998482936567 -1.032454189 -0.8324541885 1.285881744 +-40 -50 2.50277558550228 -0.8532913117 -0.9127897826 1.353291312 +-35 -50 2.48070407558603 -0.6725893459 -0.9746311370 1.405182369 +-30 -50 2.45465153117201 -0.4928617388 -1.019686976 1.442988708 +-25 -50 2.42530952658641 -0.3158607125 -1.049618944 1.468104611 +-20 -50 2.39319854723388 -0.1427494888 -1.065939707 1.481799357 +-15 -50 2.35869564543847 0.02573951288 -1.069964234 1.485176336 +-10 -50 2.32205997457011 0.1891720868 -1.062792693 1.479158699 +-5 -50 2.28345293456445 0.3473050636 -1.045311110 1.464489908 +-2.84217e-14 -50 2.24295559397466 0.5000000000 -1.018203669 1.441744065 +5 -50 2.20058919410807 0.6471538222 -0.9819758839 1.411345344 +10 -50 2.15633307560764 0.7886439271 -0.9369810560 1.373590200 +15 -50 2.11013115928824 0.9242818837 -0.8834415466 1.328665218 +20 -50 2.06190731836433 1.053773475 -0.8214801168 1.276673405 +25 -50 2.01158251282024 1.176685233 -0.7511561652 1.217664603 +30 -50 1.95908451420823 1.292413926 -0.6725011807 1.151665235 +35 -50 1.90438501189629 1.400172494 -0.5855795535 1.078729329 +40 -50 1.84750509470768 1.498975940 -0.4905331653 0.9989759399 +45 -50 1.78856579711249 1.587663352 -0.3876633523 0.9126579177 + +-45 -45 2.45707860896863 -0.9185949963 -0.7185949963 1.418594996 +-40 -45 2.43472557469977 -0.7423761971 -0.7806062962 1.480606296 +-35 -45 2.40903696274222 -0.5689200694 -0.8265760664 1.526576066 +-30 -45 2.38081929844638 -0.3998651115 -0.8586120930 1.558612093 +-25 -45 2.35064488322844 -0.2360941329 -0.8785589622 1.578558962 +-20 -45 2.31889807980626 -0.07797043440 -0.8879607176 1.587960718 +-15 -45 2.28581612674361 0.07447981212 -0.8880629608 1.588062961 +-10 -45 2.25152821276424 0.2214318554 -0.8798384540 1.579838454 +-5 -45 2.21608111663831 0.3631663309 -0.8640159946 1.564015995 +-2.84217e-14 -45 2.17944982431657 0.5000000000 -0.8411037500 1.541103750 +5 -45 2.14155710532885 0.6322321255 -0.8114201104 1.511420110 +10 -45 2.10228690515442 0.7601034086 -0.7751197322 1.475119732 +15 -45 2.06148610622078 0.8837596318 -0.7322104439 1.432210444 +20 -45 2.01898410981050 1.003218806 -0.6825823066 1.382582307 +25 -45 1.97459445084039 1.118335590 -0.6260249514 1.326024951 +30 -45 1.92812655572335 1.228763338 -0.5622551273 1.262255127 +35 -45 1.87940401871848 1.333915255 -0.4909544098 1.190954410 +40 -45 1.82828982129958 1.432928039 -0.4118203419 1.111820342 +45 -45 1.77471781671877 1.524633809 -0.3246338092 1.024633809 diff --git a/test/recoverML/phi.x.asc b/test/recoverML/phi.x.asc index dff9fdd..06531c2 100644 --- a/test/recoverML/phi.x.asc +++ b/test/recoverML/phi.x.asc @@ -1,6 +1,6 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400 -# parameter filename: "test/recoverML.par" +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500 +# parameter filename: "recoverML.par" # # phi x (phi) # @@ -15,40 +15,40 @@ 1 0 0 0 0 5 15 3 0.05 0.4 0 0 0 1 0 0 0 0 6 15 3 0.05 0.6 0 0 0 1 0 0 0 0 7 15 3 0.05 0.8 0 0 -5.55861217568079e-06 -1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306211 -1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469049 -1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964650638 -1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993777 -1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841719 -1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390393134 -1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185975121 -1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933121 -1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099652895 -1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620374 -1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045829 +1 0 0 0 0 8 15 3 0.05 1 0 0 0.0128540488306166 +1 0 0 0 0 9 15 3 0.05 1.2 0 0 0.100181376469298 +1 0 0 0 0 10 15 3 0.05 1.4 0 0 0.0790557964651063 +1 0 0 0 0 11 15 3 0.05 1.6 0 0 0.0711580039993047 +1 0 0 0 0 12 15 3 0.05 1.8 0 0 0.064890882841865 +1 0 0 0 0 13 15 3 0.05 2 0 0 0.0597530390392576 +1 0 0 0 0 14 15 3 0.05 2.2 0 0 0.0554334185974614 +1 0 0 0 0 15 15 3 0.05 2.4 0 0 0.051725428933196 +1 0 0 0 0 16 15 3 0.05 2.6 0 0 0.0483718099653047 +1 0 0 0 0 17 15 3 0.05 2.8 0 0 0.0455714836620408 +1 0 0 0 0 18 15 3 0.05 3 0 0 0.0431061011045797 # iteration 2 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -2 0 0 0 0 0 15 3 0.1 -0.6 0 0 -1.52551340518046e-05 +2 0 0 0 0 0 15 3 0.1 -0.6 0 0 -1.52551340518053e-05 2 0 0 0 0 1 15 3 0.1 -0.4 0 0 -1.56463457918388e-11 2 0 0 0 0 2 15 3 0.1 -0.2 0 0 0 2 0 0 0 0 3 15 3 0.1 0 0 0 0 2 0 0 0 0 4 15 3 0.1 0.2 0 0 0 2 0 0 0 0 5 15 3 0.1 0.4 0 0 -1.56463457918388e-11 -2 0 0 0 0 6 15 3 0.1 0.6 0 0 -1.52551340518046e-05 -2 0 0 0 0 7 15 3 0.1 0.8 0 0 -0.00174909598240846 -2 0 0 0 0 8 15 3 0.1 1 0 0 0.00890513114312635 -2 0 0 0 0 9 15 3 0.1 1.2 0 0 0.10863048453816 -2 0 0 0 0 10 15 3 0.1 1.4 0 0 0.0792989776583366 -2 0 0 0 0 11 15 3 0.1 1.6 0 0 0.0712882364935142 -2 0 0 0 0 12 15 3 0.1 1.8 0 0 0.0649721907405685 -2 0 0 0 0 13 15 3 0.1 2 0 0 0.0598097813188086 -2 0 0 0 0 14 15 3 0.1 2.2 0 0 0.0554786954555103 -2 0 0 0 0 15 15 3 0.1 2.4 0 0 0.0516924553238066 -2 0 0 0 0 16 15 3 0.1 2.6 0 0 0.048247662178647 -2 0 0 0 0 17 15 3 0.1 2.8 0 0 0.045395702537648 -2 0 0 0 0 18 15 3 0.1 3 0 0 0.0429550477180108 +2 0 0 0 0 6 15 3 0.1 0.6 0 0 -1.52551340518053e-05 +2 0 0 0 0 7 15 3 0.1 0.8 0 0 -0.00174909598240902 +2 0 0 0 0 8 15 3 0.1 1 0 0 0.00890513114310638 +2 0 0 0 0 9 15 3 0.1 1.2 0 0 0.108630484538545 +2 0 0 0 0 10 15 3 0.1 1.4 0 0 0.079298977658356 +2 0 0 0 0 11 15 3 0.1 1.6 0 0 0.0712882364935016 +2 0 0 0 0 12 15 3 0.1 1.8 0 0 0.0649721907407639 +2 0 0 0 0 13 15 3 0.1 2 0 0 0.059809781318694 +2 0 0 0 0 14 15 3 0.1 2.2 0 0 0.0554786954554395 +2 0 0 0 0 15 15 3 0.1 2.4 0 0 0.0516924553239299 +2 0 0 0 0 16 15 3 0.1 2.6 0 0 0.0482476621787032 +2 0 0 0 0 17 15 3 0.1 2.8 0 0 0.0453957025376565 +2 0 0 0 0 18 15 3 0.1 3 0 0 0.0429550477180071 diff --git a/test/recoverML/phi.y.asc b/test/recoverML/phi.y.asc index 821de94..6ff2591 100644 --- a/test/recoverML/phi.y.asc +++ b/test/recoverML/phi.y.asc @@ -1,23 +1,23 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400 -# parameter filename: "test/recoverML.par" +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500 +# parameter filename: "recoverML.par" # # phi y (phi) # # iteration 1 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -1 0 0 0 0 3 0 3 0.05 0 -3 0 0.0431061011045822 -1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.0455714836620247 -1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653222 -1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289332783 -1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185978202 -1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390393163 -1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424165 -1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039991319 -1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964652108 -1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.100181376469625 -1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306342 +1 0 0 0 0 3 0 3 0.05 0 -3 0 0.043106101104579 +1 0 0 0 0 3 1 3 0.05 0 -2.8 0 0.045571483662028 +1 0 0 0 0 3 2 3 0.05 0 -2.6 0 0.0483718099653387 +1 0 0 0 0 3 3 3 0.05 0 -2.4 0 0.0517254289333582 +1 0 0 0 0 3 4 3 0.05 0 -2.2 0 0.0554334185977719 +1 0 0 0 0 3 5 3 0.05 0 -2 0 0.0597530390392624 +1 0 0 0 0 3 6 3 0.05 0 -1.8 0 0.0648908828424791 +1 0 0 0 0 3 7 3 0.05 0 -1.6 0 0.0711580039990124 +1 0 0 0 0 3 8 3 0.05 0 -1.4 0 0.0790557964653602 +1 0 0 0 0 3 9 3 0.05 0 -1.2 0 0.10018137646976 +1 0 0 0 0 3 10 3 0.05 0 -1 0 0.0128540488306257 1 0 0 0 0 3 11 3 0.05 0 -0.8 0 -5.55861217568079e-06 1 0 0 0 0 3 12 3 0.05 0 -0.6 0 0 1 0 0 0 0 3 13 3 0.05 0 -0.4 0 0 @@ -27,52 +27,52 @@ 1 0 0 0 0 3 17 3 0.05 0 0.4 0 0 1 0 0 0 0 3 18 3 0.05 0 0.6 0 0 1 0 0 0 0 3 19 3 0.05 0 0.8 0 -5.55861217568079e-06 -1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306577 -1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376468984 -1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964650271 -1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039993438 -1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.0648908828419115 -1 0 0 0 0 3 25 3 0.05 0 2 0 0.059753039039337 -1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185977353 -1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289337347 -1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653856 -1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.045571483662046 -1 0 0 0 0 3 30 3 0.05 0 3 0 0.0431061011045644 +1 0 0 0 0 3 20 3 0.05 0 1 0 0.0128540488306539 +1 0 0 0 0 3 21 3 0.05 0 1.2 0 0.100181376469254 +1 0 0 0 0 3 22 3 0.05 0 1.4 0 0.0790557964652248 +1 0 0 0 0 3 23 3 0.05 0 1.6 0 0.0711580039995225 +1 0 0 0 0 3 24 3 0.05 0 1.8 0 0.064890882842076 +1 0 0 0 0 3 25 3 0.05 0 2 0 0.0597530390392854 +1 0 0 0 0 3 26 3 0.05 0 2.2 0 0.0554334185976853 +1 0 0 0 0 3 27 3 0.05 0 2.4 0 0.0517254289338113 +1 0 0 0 0 3 28 3 0.05 0 2.6 0 0.0483718099653985 +1 0 0 0 0 3 29 3 0.05 0 2.8 0 0.0455714836620504 +1 0 0 0 0 3 30 3 0.05 0 3 0 0.043106101104561 # iteration 2 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -2 0 0 0 0 3 0 3 0.1 0 -3 0 0.0429550477179955 -2 0 0 0 0 3 1 3 0.1 0 -2.8 0 0.0453957025376356 -2 0 0 0 0 3 2 3 0.1 0 -2.6 0 0.0482476621787588 -2 0 0 0 0 3 3 3 0.1 0 -2.4 0 0.0516924553242647 -2 0 0 0 0 3 4 3 0.1 0 -2.2 0 0.0554786954561003 -2 0 0 0 0 3 5 3 0.1 0 -2 0 0.0598097813189442 -2 0 0 0 0 3 6 3 0.1 0 -1.8 0 0.0649721907415125 -2 0 0 0 0 3 7 3 0.1 0 -1.6 0 0.0712882364933737 -2 0 0 0 0 3 8 3 0.1 0 -1.4 0 0.0792989776585853 -2 0 0 0 0 3 9 3 0.1 0 -1.2 0 0.108630484539074 -2 0 0 0 0 3 10 3 0.1 0 -1 0 0.00890513114316494 -2 0 0 0 0 3 11 3 0.1 0 -0.8 0 -0.00174909598240729 -2 0 0 0 0 3 12 3 0.1 0 -0.6 0 -1.5255134051804e-05 +2 0 0 0 0 3 0 3 0.1 0 -3 0 0.0429550477179913 +2 0 0 0 0 3 1 3 0.1 0 -2.8 0 0.0453957025376444 +2 0 0 0 0 3 2 3 0.1 0 -2.6 0 0.0482476621788187 +2 0 0 0 0 3 3 3 0.1 0 -2.4 0 0.051692455324398 +2 0 0 0 0 3 4 3 0.1 0 -2.2 0 0.055478695456033 +2 0 0 0 0 3 5 3 0.1 0 -2 0 0.059809781318835 +2 0 0 0 0 3 6 3 0.1 0 -1.8 0 0.0649721907415939 +2 0 0 0 0 3 7 3 0.1 0 -1.6 0 0.0712882364932871 +2 0 0 0 0 3 8 3 0.1 0 -1.4 0 0.0792989776587757 +2 0 0 0 0 3 9 3 0.1 0 -1.2 0 0.108630484539309 +2 0 0 0 0 3 10 3 0.1 0 -1 0 0.00890513114313446 +2 0 0 0 0 3 11 3 0.1 0 -0.8 0 -0.00174909598240811 +2 0 0 0 0 3 12 3 0.1 0 -0.6 0 -1.52551340518052e-05 2 0 0 0 0 3 13 3 0.1 0 -0.4 0 -1.56463457918393e-11 2 0 0 0 0 3 14 3 0.1 0 -0.2 0 0 2 0 0 0 0 3 15 3 0.1 0 0 0 0 2 0 0 0 0 3 16 3 0.1 0 0.2 0 0 2 0 0 0 0 3 17 3 0.1 0 0.4 0 -1.56463457918388e-11 -2 0 0 0 0 3 18 3 0.1 0 0.6 0 -1.52551340518037e-05 -2 0 0 0 0 3 19 3 0.1 0 0.8 0 -0.00174909598240545 -2 0 0 0 0 3 20 3 0.1 0 1 0 0.00890513114321143 -2 0 0 0 0 3 21 3 0.1 0 1.2 0 0.108630484538193 -2 0 0 0 0 3 22 3 0.1 0 1.4 0 0.0792989776584514 -2 0 0 0 0 3 23 3 0.1 0 1.6 0 0.0712882364934922 -2 0 0 0 0 3 24 3 0.1 0 1.8 0 0.0649721907408231 -2 0 0 0 0 3 25 3 0.1 0 2 0 0.0598097813189229 -2 0 0 0 0 3 26 3 0.1 0 2.2 0 0.0554786954561746 -2 0 0 0 0 3 27 3 0.1 0 2.4 0 0.0516924553250069 -2 0 0 0 0 3 28 3 0.1 0 2.6 0 0.0482476621790401 -2 0 0 0 0 3 29 3 0.1 0 2.8 0 0.045395702537666 -2 0 0 0 0 3 30 3 0.1 0 3 0 0.042955047717977 +2 0 0 0 0 3 18 3 0.1 0 0.6 0 -1.52551340518044e-05 +2 0 0 0 0 3 19 3 0.1 0 0.8 0 -0.00174909598240596 +2 0 0 0 0 3 20 3 0.1 0 1 0 0.00890513114319528 +2 0 0 0 0 3 21 3 0.1 0 1.2 0 0.1086304845386 +2 0 0 0 0 3 22 3 0.1 0 1.4 0 0.079298977658802 +2 0 0 0 0 3 23 3 0.1 0 1.6 0 0.0712882364938452 +2 0 0 0 0 3 24 3 0.1 0 1.8 0 0.0649721907410541 +2 0 0 0 0 3 25 3 0.1 0 2 0 0.0598097813188186 +2 0 0 0 0 3 26 3 0.1 0 2.2 0 0.0554786954561056 +2 0 0 0 0 3 27 3 0.1 0 2.4 0 0.0516924553251212 +2 0 0 0 0 3 28 3 0.1 0 2.6 0 0.0482476621790923 +2 0 0 0 0 3 29 3 0.1 0 2.8 0 0.0453957025376743 +2 0 0 0 0 3 30 3 0.1 0 3 0 0.0429550477179739 diff --git a/test/recoverML/phi.z.asc b/test/recoverML/phi.z.asc index 7f7557e..e29c777 100644 --- a/test/recoverML/phi.z.asc +++ b/test/recoverML/phi.z.asc @@ -1,6 +1,6 @@ # 1D ASCII output created by CarpetIOASCII -# created on phys44230.physics.gatech.edu by rhaas3 on Apr 28 2010 at 21:18:23-0400 -# parameter filename: "test/recoverML.par" +# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500 +# parameter filename: "recoverML.par" # # phi z (phi) # @@ -15,40 +15,40 @@ 1 0 0 0 0 3 15 5 0.05 0 0 0.4 0 1 0 0 0 0 3 15 6 0.05 0 0 0.6 0 1 0 0 0 0 3 15 7 0.05 0 0 0.8 -2.98923381217742e-06 -1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200577 -1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250962441 -1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.0659748462403934 -1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745610345 -1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.0577632417394683 -1 0 0 0 0 3 15 13 0.05 0 0 2 0.0542514864848703 -1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564456756 -1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970911499 -1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.045451090264976 -1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523133 -1 0 0 0 0 3 15 18 0.05 0 0 3 0.041076371737518 +1 0 0 0 0 3 15 8 0.05 0 0 1 0.0101336557200675 +1 0 0 0 0 3 15 9 0.05 0 0 1.2 0.0823024250963386 +1 0 0 0 0 3 15 10 0.05 0 0 1.4 0.065974846240459 +1 0 0 0 0 3 15 11 0.05 0 0 1.6 0.0616692745608533 +1 0 0 0 0 3 15 12 0.05 0 0 1.8 0.057763241739307 +1 0 0 0 0 3 15 13 0.05 0 0 2 0.054251486484966 +1 0 0 0 0 3 15 14 0.05 0 0 2.2 0.0510906564457798 +1 0 0 0 0 3 15 15 0.05 0 0 2.4 0.0482271970910749 +1 0 0 0 0 3 15 16 0.05 0 0 2.6 0.0454510902649566 +1 0 0 0 0 3 15 17 0.05 0 0 2.8 0.0431479470523085 +1 0 0 0 0 3 15 18 0.05 0 0 3 0.0410763717375216 # iteration 2 # refinement level 0 multigrid level 0 map 0 component 0 time level 0 # column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data -2 0 0 0 0 3 15 0 0.1 0 0 -0.6 -1.13606626854763e-05 +2 0 0 0 0 3 15 0 0.1 0 0 -0.6 -1.13606626854788e-05 2 0 0 0 0 3 15 1 0.1 0 0 -0.4 -5.70260772663422e-12 2 0 0 0 0 3 15 2 0.1 0 0 -0.2 0 2 0 0 0 0 3 15 3 0.1 0 0 0 0 2 0 0 0 0 3 15 4 0.1 0 0 0.2 0 2 0 0 0 0 3 15 5 0.1 0 0 0.4 -5.70260772663422e-12 -2 0 0 0 0 3 15 6 0.1 0 0 0.6 -1.13606626854763e-05 -2 0 0 0 0 3 15 7 0.1 0 0 0.8 -0.00133832611532475 -2 0 0 0 0 3 15 8 0.1 0 0 1 0.00616767887334655 -2 0 0 0 0 3 15 9 0.1 0 0 1.2 0.092327526323873 -2 0 0 0 0 3 15 10 0.1 0 0 1.4 0.0660867338420946 -2 0 0 0 0 3 15 11 0.1 0 0 1.6 0.0617381611609299 -2 0 0 0 0 3 15 12 0.1 0 0 1.8 0.0578128512836466 -2 0 0 0 0 3 15 13 0.1 0 0 2 0.0542911351390374 -2 0 0 0 0 3 15 14 0.1 0 0 2.2 0.0511249365484818 -2 0 0 0 0 3 15 15 0.1 0 0 2.4 0.0481686248796174 -2 0 0 0 0 3 15 16 0.1 0 0 2.6 0.0452754287289777 -2 0 0 0 0 3 15 17 0.1 0 0 2.8 0.0429044073202016 -2 0 0 0 0 3 15 18 0.1 0 0 3 0.0408702248830441 +2 0 0 0 0 3 15 6 0.1 0 0 0.6 -1.13606626854788e-05 +2 0 0 0 0 3 15 7 0.1 0 0 0.8 -0.00133832611532355 +2 0 0 0 0 3 15 8 0.1 0 0 1 0.00616767887339931 +2 0 0 0 0 3 15 9 0.1 0 0 1.2 0.0923275263240607 +2 0 0 0 0 3 15 10 0.1 0 0 1.4 0.066086733842121 +2 0 0 0 0 3 15 11 0.1 0 0 1.6 0.0617381611605872 +2 0 0 0 0 3 15 12 0.1 0 0 1.8 0.057812851283418 +2 0 0 0 0 3 15 13 0.1 0 0 2 0.0542911351391956 +2 0 0 0 0 3 15 14 0.1 0 0 2.2 0.051124936548618 +2 0 0 0 0 3 15 15 0.1 0 0 2.4 0.048168624879506 +2 0 0 0 0 3 15 16 0.1 0 0 2.6 0.0452754287289152 +2 0 0 0 0 3 15 17 0.1 0 0 2.8 0.0429044073201887 +2 0 0 0 0 3 15 18 0.1 0 0 3 0.0408702248830478 |