smbinterp/test/delaunay.py

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import unittest
import numpy as np
from interp.grid.delaunay import dgrid
from interp.tools import baker_exact_3D, exact_me, improved_answer
points = np.array([[0.11428445, 0.28754022, 0.21450866],
[0.70777361, 0.97113801, 0.70142999],
[0.9678696, 0.8752588, 0.61011066],
[0.28114508, 0.56494346, 0.10472855],
[0.87320653, 0.60442285, 0.77830118],
[0.54868101, 0.06763191, 0.36992336],
[0.74785868, 0.01445301, 0.36157087],
[0.37893801, 0.2798186, 0.66882913],
[0.40288033, 0.43632989, 0.68307495],
[0.05443145, 0.69825395, 0.75788844],
[0.72652183, 0.46143234, 0.92496808],
[0.98215309, 0.74919871, 0.26359922],
[0.64446603, 0.03215349, 0.71585739],
[0.74583664, 0.17934764, 0.48514102],
[0.02953106, 0.26222083, 0.84447849],
[0.92558287, 0.86491041, 0.00388493],
[0.48458751, 0.18263645, 0.10020616],
[0.50691704, 0.29474261, 0.05317139],
[0.13503481, 0.45742548, 0.89879376],
[0.42092092, 0.50429495, 0.93224069],
[0.38495379, 0.6395474, 0.67431922],
[0.10397544, 0.05895451, 0.9875192],
[0.06942965, 0.86935731, 0.29390551],
[0.08325816, 0.37391508, 0.94985739],
[0.70791782, 0.62839051, 0.80202258],
[0.49957473, 0.84219751, 0.88040138],
[0.91766782, 0.48387821, 0.08503156],
[0.36803798, 0.3877998, 0.24104388],
[0.1526318, 0.01782609, 0.04233187],
[0.24389489, 0.35547378, 0.86487884],
[0.79969989, 0.86603222, 0.12417413],
[0.07748739, 0.40214123, 0.26731593],
[0.22738297, 0.71726456, 0.26570381],
[0.05918811, 0.07212692, 0.55623921],
[0.36451404, 0.58232176, 0.71326058],
[0.1194748, 0.30536944, 0.06718068],
[0.15832267, 0.8887553, 0.72702744],
[0.64205779, 0.63270873, 0.84104407],
[0.6598406, 0.64223508, 0.4446435],
[0.27005486, 0.92531167, 0.41231729],
[0.32309501, 0.36187601, 0.29635482],
[0.82053702, 0.18239855, 0.31045463],
[0.89756268, 0.40578409, 0.24500909],
[0.91924702, 0.84409983, 0.52950817],
[0.45169706, 0.8790168, 0.65692569],
[0.96988179, 0.45284828, 0.98161877],
[0.67214891, 0.43246417, 0.36161494],
[0.91771824, 0.13570763, 0.30358442],
[0.00856081, 0.46164223, 0.89603726],
[0.95545709, 0.17282928, 0.83199973],
[0.56650153, 0.89603536, 0.45668853],
[0.9542778, 0.12299014, 0.41592707],
[0.06352572, 0.94850064, 0.33634642],
[0.93951017, 0.43484399, 0.37270086],
[0.67236423, 0.16673231, 0.82524789],
[0.84371993, 0.41819289, 0.28587838],
[0.61771884, 0.84808589, 0.22994513],
[0.17655356, 0.76040647, 0.66896936],
[0.39594309, 0.30225809, 0.56655642],
[0.26509525, 0.48602892, 0.4414201],
[0.01230335, 0.47860405, 0.43923575],
[0.92014909, 0.99002187, 0.3740484],
[0.88845505, 0.68630333, 0.37397556],
[0.11044038, 0.28907405, 0.51466146],
[0.11092469, 0.20020453, 0.75125346],
[0.27536249, 0.60320668, 0.6360586],
[0.94241002, 0.00823361, 0.05984616],
[0.24263625, 0.93050725, 0.54862345],
[0.12049839, 0.16584759, 0.94799531],
[0.43141746, 0.77530968, 0.89400203],
[0.43453017, 0.72250458, 0.30855848],
[0.58327876, 0.30410605, 0.21529569],
[0.6906952, 0.88501704, 0.33122977],
[0.59582838, 0.23855177, 0.25562364],
[0.84408793, 0.7565708, 0.18566003],
[0.71847225, 0.78348879, 0.01394492],
[0.2157923, 0.0878241, 0.53304275],
[0.65077817, 0.73134788, 0.47375731],
[0.15480248, 0.04877231, 0.84551572],
[0.18828918, 0.34674004, 0.11989061],
[0.78564365, 0.30275406, 0.09642356],
[0.82960515, 0.73738278, 0.24500901],
[0.63381853, 0.78702512, 0.44869516],
[0.60875909, 0.38448521, 0.11101309],
[0.25896923, 0.86776042, 0.99926272],
[0.44865064, 0.47424466, 0.51402304],
[0.44738627, 0.413574, 0.58787803],
[0.42558597, 0.18098633, 0.44647855],
[0.6197636, 0.40172899, 0.82633434],
[0.19667605, 0.9592378, 0.31371263],
[0.44543992, 0.36630682, 0.96721493],
[0.00113251, 0.74157699, 0.83322406],
[0.02975107, 0.82937627, 0.80524179],
[0.39907603, 0.53267979, 0.53531684],
[0.8342222, 0.9169928, 0.81969662],
[0.13888135, 0.67287953, 0.45754592],
[0.4873301, 0.02399868, 0.79007014],
[0.48908379, 0.01660648, 0.88531733],
[0.06064489, 0.15676077, 0.57462736],
[0.46347854, 0.50204698, 0.92260013],
[0.30769454, 0.91413535, 0.71872948],
[0.54766355, 0.99080514, 0.23629655],
[0.29504561, 0.69239956, 0.11541326],
[0.06638065, 0.44583771, 0.40993712],
[0.78546547, 0.39669903, 0.70850067],
[0.57490847, 0.01931911, 0.95229857],
[0.36478595, 0.51095616, 0.4450777],
[0.27962055, 0.5670248, 0.73430206],
[0.08512962, 0.92858697, 0.16280465],
[0.35404686, 0.26061171, 0.90922437],
[0.36088532, 0.67658412, 0.3225552],
[0.21179329, 0.78877855, 0.52533685],
[0.72919654, 0.30032783, 0.35231397],
[0.98164664, 0.14363536, 0.70022392],
[0.52173619, 0.80860274, 0.50831038],
[0.38294836, 0.0077242, 0.73545865],
[0.88265733, 0.43355191, 0.20679372],
[0.90846836, 0.51886944, 0.38919361],
[0.92039147, 0.66254952, 0.65083492],
[0.70248187, 0.10121166, 0.89420336],
[0.89448921, 0.88377854, 0.46296508],
[0.35057331, 0.12859417, 0.02405395],
[0.99091684, 0.54648747, 0.03855661],
[0.26477678, 0.84030298, 0.5826511],
[0.14283269, 0.30983103, 0.76758542],
[0.95578979, 0.17808405, 0.33390006],
[0.09878404, 0.22161407, 0.65968794],
[0.04496103, 0.66141433, 0.16798657],
[0.15300491, 0.48347774, 0.6682864],
[0.55398838, 0.2255844, 0.93903814],
[0.93418825, 0.5798594, 0.34924861],
[0.01206828, 0.44051883, 0.63147375],
[0.08048752, 0.70924834, 0.36574764],
[0.03811209, 0.44101423, 0.49884509],
[0.25834782, 0.285216, 0.53779596],
[0.08286716, 0.54884676, 0.68121547],
[0.33114584, 0.88198676, 0.05239509],
[0.52021315, 0.39683866, 0.01958944],
[0.5346457, 0.3208056, 0.97108723],
[0.83061204, 0.93356032, 0.96897258],
[0.05889601, 0.70904536, 0.44104923],
[0.07462807, 0.84525455, 0.34993083],
[0.48488828, 0.46994987, 0.96958491],
[0.32887091, 0.24984721, 0.95274392],
[0.63767616, 0.92965522, 0.10237799],
[0.49871957, 0.26920321, 0.70434029],
[0.39157118, 0.94955504, 0.82837017],
[0.06765164, 0.41670636, 0.72200918],
[0.70059481, 0.49756779, 0.46352713],
[0.08052346, 0.61639639, 0.4593064],
[0.10818914, 0.57868752, 0.71973356],
[0.40348071, 0.19272991, 0.16592194],
[0.28363091, 0.57535216, 0.44429315],
[0.75365971, 0.71266981, 0.03868309],
[0.51947089, 0.94139858, 0.85375824],
[0.6766548, 0.82881477, 0.8703148],
[0.68752048, 0.43760109, 0.91788514],
[0.88613803, 0.25815193, 0.43004132],
[0.0711505, 0.95922552, 0.98028043],
[0.92867615, 0.90462079, 0.39398929],
[0.08362741, 0.60099744, 0.37111534],
[0.43225975, 0.88763986, 0.37462851],
[0.79141353, 0.04286447, 0.66726792],
[0.73481258, 0.59783624, 0.17572802],
[0.57333482, 0.96357899, 0.96003897],
[0.83047634, 0.47608051, 0.50263645],
[0.85347717, 0.58236307, 0.7207615],
[0.89777838, 0.49916738, 0.27265369],
[0.68280261, 0.09290443, 0.30109173],
[0.9878491, 0.93869086, 0.6727351],
[0.35485635, 0.60949548, 0.21609126],
[0.34635366, 0.86408416, 0.39524511],
[0.97950109, 0.71812176, 0.43523289],
[0.64266844, 0.50752522, 0.73489014],
[0.39180608, 0.88879724, 0.47496461],
[0.61528696, 0.36905619, 0.20571338],
[0.1127475, 0.9128665, 0.44155376],
[0.95724559, 0.24756928, 0.2607367],
[0.41791504, 0.84469929, 0.39939267],
[0.74388422, 0.66235586, 0.81131033],
[0.37932042, 0.69045085, 0.58836298],
[0.73719145, 0.39579154, 0.23579967],
[0.37476006, 0.79731359, 0.56031142],
[0.31958019, 0.007173, 0.87112861],
[0.51975653, 0.10882906, 0.07873865],
[0.35340201, 0.64909491, 0.06403942],
[0.93534716, 0.94533048, 0.11982437],
[0.86698716, 0.85551581, 0.2783717],
[0.39499489, 0.82911438, 0.05733287],
[0.97447428, 0.55624938, 0.83910733],
[0.13165963, 0.72821714, 0.24942724],
[0.69517782, 0.35198517, 0.95367201],
[0.15686505, 0.99539642, 0.59536263],
[0.81638613, 0.04210342, 0.67956965],
[0.51276658, 0.49898216, 0.31611387],
[0.75131854, 0.69203237, 0.56034405],
[0.39104193, 0.83395827, 0.94807817],
[0.83844197, 0.94169047, 0.26600553],
[0.89733342, 0.53859321, 0.61937296],
[0.96853806, 0.73128574, 0.40330592],
[0.5070264, 0.43343222, 0.3635949],
[0.39727622, 0.82369162, 0.82189471],
[0.83683305, 0.085911, 0.2639984],
[0.97090014, 0.57191923, 0.78291546],
[0.67482888, 0.88438681, 0.28726635],
[0.05018135, 0.42041414, 0.19598002],
[0.51830459, 0.68016794, 0.21600904],
[0.13329734, 0.92823392, 0.53344032],
[0.44175237, 0.4605472, 0.68868582],
[0.16221553, 0.19372445, 0.06682256],
[0.74308626, 0.48589129, 0.14384904],
[0.21029357, 0.94665144, 0.69065138],
[0.5695598, 0.74219977, 0.98037558],
[0.98196821, 0.27363747, 0.19857137],
[0.13639529, 0.34283267, 0.49383934],
[0.40597902, 0.06641372, 0.83344091],
[0.71656007, 0.04308679, 0.22327167],
[0.51679895, 0.16594224, 0.29388427],
[0.11714028, 0.31346426, 0.8475076],
[0.15368224, 0.33216081, 0.28493318],
[0.45084027, 0.50034009, 0.56994194],
[0.42733257, 0.39342123, 0.23455195],
[0.71993897, 0.42549182, 0.80396288],
[0.01024557, 0.21484421, 0.97359862],
[0.49792668, 0.35542579, 0.14729147],
[0.37033584, 0.90457688, 0.48734477],
[0.28959816, 0.57044438, 0.76050406],
[0.63550706, 0.82154029, 0.22960342],
[0.96325459, 0.83165502, 0.758824],
[0.07454867, 0.66210279, 0.60950114],
[0.49525635, 0.65310899, 0.67517005],
[0.59761197, 0.45232364, 0.68222993],
[0.07795876, 0.97449963, 0.34139297],
[0.5543566, 0.08232214, 0.92329903],
[0.82661172, 0.45661475, 0.77993866],
[0.85781657, 0.63839761, 0.52146219],
[0.97943727, 0.00871552, 0.83213468],
[0.97123395, 0.95484052, 0.7370685],
[0.88582694, 0.7589797, 0.22312631],
[0.9129248, 0.51863879, 0.17922221],
[0.61886516, 0.31741678, 0.63708073],
[0.4736423, 0.79910521, 0.16488899],
[0.14787432, 0.42327434, 0.30586353],
[0.4172034, 0.39362806, 0.25948712],
[0.80631174, 0.33970678, 0.22991874],
[0.08039674, 0.64024303, 0.19719062],
[0.41975393, 0.40719244, 0.18973031],
[0.67728546, 0.86719246, 0.14061594],
[0.17306185, 0.84162507, 0.27212007],
[0.82794997, 0.21770941, 0.9077298],
[0.79311973, 0.58638865, 0.71152166],
[0.31594555, 0.48083258, 0.41032454],
[0.27958489, 0.25132611, 0.97273063],
[0.19547671, 0.01177584, 0.2121902],
[0.79646729, 0.25026237, 0.04238325],
[0.55876564, 0.62290133, 0.65515278],
[0.98298942, 0.92178019, 0.56972796],
[0.66192302, 0.90206951, 0.37520991],
[0.56210811, 0.68020856, 0.21245914],
[0.4545708, 0.11178424, 0.26732248],
[0.25569326, 0.68091849, 0.79840122],
[0.5591885, 0.50551625, 0.17488911],
[0.21416424, 0.41424965, 0.45079625],
[0.10099885, 0.10636645, 0.30473792],
[0.38094704, 0.71112226, 0.62888858],
[0.53907299, 0.20392918, 0.27247397],
[0.04364007, 0.02013828, 0.44662197],
[0.86052463, 0.76011118, 0.51361045],
[0.65020728, 0.94438629, 0.77890062],
[0.59598794, 0.86259667, 0.78133959],
[0.75774941, 0.7066554, 0.58444382],
[0.59409531, 0.40305576, 0.70292307],
[0.99939588, 0.43263567, 0.91299638],
[0.41864003, 0.84765473, 0.24266005],
[0.72385558, 0.17339891, 0.9438488],
[0.24515218, 0.289084, 0.28748968],
[0.49859351, 0.46372133, 0.18096462],
[0.15017168, 0.17989514, 0.24885726],
[0.69353842, 0.9908098, 0.79267305],
[0.71162625, 0.56245142, 0.28610138],
[0.10423372, 0.37465052, 0.04243339],
[0.08155656, 0.81886886, 0.23270234],
[0.84661905, 0.54304361, 0.35376332],
[0.81633062, 0.69422451, 0.59648949],
[0.32920637, 0.57585371, 0.6756407],
[0.08207756, 0.81229271, 0.6724037],
[0.11544481, 0.3333505, 0.67070043],
[0.47770986, 0.93733297, 0.22730252],
[0.92435147, 0.98041132, 0.39735754],
[0.76605498, 0.17285125, 0.52239393],
[0.33066159, 0.47149598, 0.80642634],
[0.57308888, 0.76493001, 0.74759425],
[0.45780705, 0.19735262, 0.21373684],
[0.7114183, 0.0531067, 0.16217512],
[0.60885551, 0.34667153, 0.33519708],
[0.37674983, 0.10423878, 0.18345471],
[0.7900269, 0.68404106, 0.07913541],
[0.65954281, 0.17644536, 0.68727359],
[0.51849291, 0.38892724, 0.46023856],
[0.03880228, 0.54487748, 0.12552077],
[0.89025506, 0.38212033, 0.27500116],
[0.26561815, 0.2935733, 0.06296461],
[0.97120202, 0.78193064, 0.09989714],
[0.75217957, 0.7067728, 0.29665447],
[0.67225096, 0.39169631, 0.83406842],
[0.97313044, 0.96917734, 0.82943615],
[0.39912202, 0.40385783, 0.60791707],
[0.20864476, 0.83656895, 0.38569753],
[0.74629931, 0.91464275, 0.79205266],
[0.58799217, 0.84129248, 0.52485717],
[0.49626858, 0.99342168, 0.85723668],
[0.44179121, 0.67859599, 0.42947105],
[0.69434486, 0.03275922, 0.78378302],
[0.3437196, 0.17875298, 0.08170036],
[0.5551284, 0.86399479, 0.07532155],
[0.46442421, 0.06901228, 0.0915534],
[0.36626952, 0.62621483, 0.58090994],
[0.94389259, 0.26844818, 0.34257046],
[0.60063392, 0.94410353, 0.12007917],
[0.6876256, 0.40948439, 0.56799762],
[0.77292527, 0.85623345, 0.96604685],
[0.41086593, 0.30321843, 0.1940882],
[0.24507739, 0.15378191, 0.97496406],
[0.67921838, 0.11169023, 0.84051264],
[0.19055213, 0.45794932, 0.98465811],
[0.37926691, 0.48481444, 0.73218577],
[0.75394773, 0.79016572, 0.51596521],
[0.00896122, 0.5171287, 0.39853509],
[0.52798644, 0.03888124, 0.19829634],
[0.00869413, 0.56768634, 0.34893429],
[0.615313, 0.70823616, 0.61730355],
[0.86701525, 0.29948947, 0.55404462],
[0.45815849, 0.9804982, 0.65170624],
[0.16313177, 0.89063537, 0.49337913],
[0.34291028, 0.17580395, 0.79886289],
[0.07125311, 0.20254425, 0.06946597],
[0.05129371, 0.42917736, 0.4152199],
[0.69578899, 0.8346906, 0.74885487],
[0.7659193, 0.11328032, 0.15451784],
[0.94756885, 0.11279052, 0.69796226],
[0.45408162, 0.15884869, 0.59367818],
[0.60572836, 0.70104822, 0.2189406],
[0.47303755, 0.5282143, 0.01983065],
[0.69718414, 0.82247368, 0.39495836],
[0.2689603, 0.42134546, 0.51328072],
[0.50722373, 0.46366182, 0.67454857],
[0.86904155, 0.84563547, 0.37754717],
[0.25240041, 0.73475975, 0.65598385],
[0.47306169, 0.51207824, 0.27288438],
[0.78319335, 0.95621156, 0.80399167],
[0.16893686, 0.76652759, 0.07663632],
[0.49497387, 0.32369158, 0.3755829],
[0.74461309, 0.74355377, 0.83855198],
[0.36692332, 0.68521923, 0.12274681],
[0.9542574, 0.76347737, 0.05358422],
[0.76981045, 0.82456149, 0.54138801],
[0.35244305, 0.1008039, 0.34889897],
[0.18389316, 0.82602775, 0.05302258],
[0.2970617, 0.04795647, 0.7598214],
[0.20235818, 0.51695988, 0.64702214],
[0.26292108, 0.63850411, 0.41783859],
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[0.08408181, 0.64304719, 0.52870003],
[0.52313379, 0.56851118, 0.97029994],
[0.40404252, 0.42914926, 0.71555722],
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[0.3697015, 0.81831846, 0.1405187],
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[0.84236801, 0.9325341, 0.16872927],
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[0.94383549, 0.58303852, 0.12585456],
[0.48858776, 0.48006796, 0.57410043],
[0.77481969, 0.77828229, 0.96806169],
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[0.13216264, 0.34946454, 0.82557447],
[0.78817467, 0.55188611, 0.82789715],
[0.28726992, 0.90427654, 0.46594568],
[0.36720028, 0.17742756, 0.04713435],
[0.97144246, 0.35275568, 0.37272179],
[0.69123934, 0.47119538, 0.15020057],
[0.635319, 0.63940015, 0.81954056],
[0.83383869, 0.75306152, 0.18991275],
[0.02850231, 0.48516986, 0.19046434],
[0.50327008, 0.28464314, 0.54278312],
[0.03055014, 0.77251712, 0.87531276],
[0.50390999, 0.33447693, 0.44985505],
[0.43460422, 0.61835212, 0.36589043],
[0.33550543, 0.09574431, 0.90957736],
[0.96983762, 0.11537462, 0.94142618],
[0.51258962, 0.82681989, 0.26935337],
[0.79211841, 0.23207802, 0.60815911],
[0.90424295, 0.73187941, 0.99794175],
[0.84381799, 0.50563945, 0.2338819],
[0.64879475, 0.11428564, 0.65671366],
[0.23384312, 0.66965284, 0.19456637],
[0.53093166, 0.95852386, 0.98772503],
[0.98463144, 0.03103187, 0.86130255],
[0.06819395, 0.49299943, 0.06459917],
[0.91893265, 0.49085647, 0.52698672],
[0.98981069, 0.90960177, 0.54153429],
[0.28101046, 0.06888627, 0.84965766],
[0.62303017, 0.21383628, 0.98395503],
[0.51816527, 0.10226694, 0.2760039],
[0.27242839, 0.98456279, 0.43348216],
[0.8505522, 0.06138676, 0.92275804],
[0.2688598, 0.68773136, 0.63179621]])
class Test(unittest.TestCase):
def setUp(self):
self.q = exact_me(points, baker_exact_3D)
self.g = dgrid(points, self.q)
def run_point(self, X, extra_points=32):
exact = baker_exact_3D(X)
answers = []
for o in (2, 3, 4, 5):
r = self.g.interpolate(X, order=o, extra_points=extra_points)
answers.append(improved_answer(r, exact))
return answers
def test_point_1(self):
X = [0.2, 0.2, 0.2]
answers = self.run_point(X)
expected_answers = [True, True, True, False]
self.assertEqual(answers, expected_answers)
def test_point_2(self):
X = [0.1, 0.8, 0.9]
answers = self.run_point(X)
expected_answers = [True, True, True, False]
self.assertEqual(answers, expected_answers)
def test_point_3(self):
X = [0.5, 0.5, 0.99999]
answers = self.run_point(X)
expected_answers = [True, True, True, True]
self.assertEqual(answers, expected_answers)
def test_point_4(self):
X = [0.5, 0.5, 0.99999]
answers = self.run_point(X, extra_points=64)
expected_answers = [True, True, True, True]
self.assertEqual(answers, expected_answers)
def test_point_5(self):
X = [0.5, 0.5, 0.5]
answers = self.run_point(X, extra_points=128)
expected_answers = [True, True, True, True]
self.assertEqual(answers, expected_answers)
if __name__ == '__main__':
suite = unittest.TestLoader().loadTestsFromTestCase(Test)
unittest.TextTestRunner(verbosity=3).run(suite)