module Alea::Core::Ziggurat::Normal

Overview

Tables for normal variates

Defined in:

Constant Summary

F32 = Float32.static_array(1.00000000000000000000e+00, 9.77101701267671596263e-01, 9.59879091800106665211e-01, 9.45198953442299649730e-01, 9.32060075959230460718e-01, 9.19991505039347012840e-01, 9.08726440052130879366e-01, 8.98095921898343418910e-01, 8.87984660755833377088e-01, 8.78309655808917399966e-01, 8.69008688036857046555e-01, 8.60033621196331532488e-01, 8.51346258458677951353e-01, 8.42915653112204177333e-01, 8.34716292986883434679e-01, 8.26726833946221373317e-01, 8.18929191603702366642e-01, 8.11307874312656274185e-01, 8.03849483170964274059e-01, 7.96542330422958966274e-01, 7.89376143566024590648e-01, 7.82341832654802504798e-01, 7.75431304981187174974e-01, 7.68637315798486264740e-01, 7.61953346836795386565e-01, 7.55373506507096115214e-01, 7.48892447219156820459e-01, 7.42505296340151055290e-01, 7.36207598126862650112e-01, 7.29995264561476231435e-01, 7.23864533468630222401e-01, 7.17811932630721960535e-01, 7.11834248878248421200e-01, 7.05928501332754310127e-01, 7.00091918136511615067e-01, 6.94321916126116711609e-01, 6.88616083004671808432e-01, 6.82972161644994857355e-01, 6.77388036218773526009e-01, 6.71861719897082099173e-01, 6.66391343908750100056e-01, 6.60975147776663107813e-01, 6.55611470579697264149e-01, 6.50298743110816701574e-01, 6.45035480820822293424e-01, 6.39820277453056585060e-01, 6.34651799287623608059e-01, 6.29528779924836690007e-01, 6.24450015547026504592e-01, 6.19414360605834324325e-01, 6.14420723888913888899e-01, 6.09468064925773433949e-01, 6.04555390697467776029e-01, 5.99681752619125263415e-01, 5.94846243767987448159e-01, 5.90047996332826008015e-01, 5.85286179263371453274e-01, 5.80559996100790898232e-01, 5.75868682972353718164e-01, 5.71211506735253227163e-01, 5.66587763256164445025e-01, 5.61996775814524340831e-01, 5.57437893618765945014e-01, 5.52910490425832290562e-01, 5.48413963255265812791e-01, 5.43947731190026262382e-01, 5.39511234256952132426e-01, 5.35103932380457614215e-01, 5.30725304403662057062e-01, 5.26374847171684479008e-01, 5.22052074672321841931e-01, 5.17756517229756352272e-01, 5.13487720747326958914e-01, 5.09245245995747941592e-01, 5.05028667943468123624e-01, 5.00837575126148681903e-01, 4.96671569052489714213e-01, 4.92530263643868537748e-01, 4.88413284705458028423e-01, 4.84320269426683325253e-01, 4.80250865909046753544e-01, 4.76204732719505863248e-01, 4.72181538467730199660e-01, 4.68180961405693596422e-01, 4.64202689048174355069e-01, 4.60246417812842867345e-01, 4.56311852678716434184e-01, 4.52398706861848520777e-01, 4.48506701507203064949e-01, 4.44635565395739396077e-01, 4.40785034665803987508e-01, 4.36954852547985550526e-01, 4.33144769112652261445e-01, 4.29354541029441427735e-01, 4.25583931338021970170e-01, 4.21832709229495894654e-01, 4.18100649837848226120e-01, 4.14387534040891125642e-01, 4.10693148270188157500e-01, 4.07017284329473372217e-01, 4.03359739221114510510e-01, 3.99720314980197222177e-01, 3.96098818515832451492e-01, 3.92495061459315619512e-01, 3.88908860018788715696e-01, 3.85340034840077283462e-01, 3.81788410873393657674e-01, 3.78253817245619183840e-01, 3.74736087137891138443e-01, 3.71235057668239498696e-01, 3.67750569779032587814e-01, 3.64282468129004055601e-01, 3.60830600989648031529e-01, 3.57394820145780500731e-01, 3.53974980800076777232e-01, 3.50570941481406106455e-01, 3.47182563956793643900e-01, 3.43809713146850715049e-01, 3.40452257044521866547e-01, 3.37110066637006045021e-01, 3.33783015830718454708e-01, 3.30470981379163586400e-01, 3.27173842813601400970e-01, 3.23891482376391093290e-01, 3.20623784956905355514e-01, 3.17370638029913609834e-01, 3.14131931596337177215e-01, 3.10907558126286509559e-01, 3.07697412504292056035e-01, 3.04501391976649993243e-01, 3.01319396100803049698e-01, 2.98151326696685481377e-01, 2.94997087799961810184e-01, 2.91856585617095209972e-01, 2.88729728482182923521e-01, 2.85616426815501756042e-01, 2.82516593083707578948e-01, 2.79430141761637940157e-01, 2.76356989295668320494e-01, 2.73297054068577072172e-01, 2.70250256365875463072e-01, 2.67216518343561471038e-01, 2.64195763997261190426e-01, 2.61187919132721213522e-01, 2.58192911337619235290e-01, 2.55210669954661961700e-01, 2.52241126055942177508e-01, 2.49284212418528522415e-01, 2.46339863501263828249e-01, 2.43408015422750312329e-01, 2.40488605940500588254e-01, 2.37581574431238090606e-01, 2.34686861872330010392e-01, 2.31804410824338724684e-01, 2.28934165414680340644e-01, 2.26076071322380278694e-01, 2.23230075763917484855e-01, 2.20396127480151998723e-01, 2.17574176724331130872e-01, 2.14764175251173583536e-01, 2.11966076307030182324e-01, 2.09179834621125076977e-01, 2.06405406397880797353e-01, 2.03642749310334908452e-01, 2.00891822494656591136e-01, 1.98152586545775138971e-01, 1.95425003514134304483e-01, 1.92709036903589175926e-01, 1.90004651670464985713e-01, 1.87311814223800304768e-01, 1.84630492426799269756e-01, 1.81960655599522513892e-01, 1.79302274522847582272e-01, 1.76655321443734858455e-01, 1.74019770081838553999e-01, 1.71395595637505754327e-01, 1.68782774801211288285e-01, 1.66181285764481906364e-01, 1.63591108232365584074e-01, 1.61012223437511009516e-01, 1.58444614155924284882e-01, 1.55888264724479197465e-01, 1.53343161060262855866e-01, 1.50809290681845675763e-01, 1.48286642732574552861e-01, 1.45775208005994028060e-01, 1.43274978973513461566e-01, 1.40785949814444699690e-01, 1.38308116448550733057e-01, 1.35841476571253755301e-01, 1.33386029691669155683e-01, 1.30941777173644358090e-01, 1.28508722279999570981e-01, 1.26086870220185887081e-01, 1.23676228201596571932e-01, 1.21276805484790306533e-01, 1.18888613442910059947e-01, 1.16511665625610869035e-01, 1.14145977827838487895e-01, 1.11791568163838089811e-01, 1.09448457146811797824e-01, 1.07116667774683801961e-01, 1.04796225622487068629e-01, 1.02487158941935246892e-01, 1.00189498768810017482e-01, 9.79032790388624646338e-02, 9.56285367130089991594e-02, 9.33653119126910124859e-02, 9.11136480663737591268e-02, 8.88735920682758862021e-02, 8.66451944505580717859e-02, 8.44285095703534715916e-02, 8.22235958132029043366e-02, 8.00305158146630696292e-02, 7.78493367020961224423e-02, 7.56801303589271778804e-02, 7.35229737139813238622e-02, 7.13779490588904025339e-02, 6.92451443970067553879e-02, 6.71246538277884968737e-02, 6.50165779712428976156e-02, 6.29210244377581412456e-02, 6.08381083495398780614e-02, 5.87679529209337372930e-02, 5.67106901062029017391e-02, 5.46664613248889208474e-02, 5.26354182767921896513e-02, 5.06177238609477817000e-02, 4.86135532158685421122e-02, 4.66230949019303814174e-02, 4.46465522512944634759e-02, 4.26841449164744590750e-02, 4.07361106559409394401e-02, 3.88027074045261474722e-02, 3.68842156885673053135e-02, 3.49809414617161251737e-02, 3.30932194585785779961e-02, 3.12214171919203004046e-02, 2.93659397581333588001e-02, 2.75272356696031131329e-02, 2.57058040085489103443e-02, 2.39022033057958785407e-02, 2.21170627073088502113e-02, 2.03510962300445102935e-02, 1.86051212757246224594e-02, 1.68800831525431419000e-02, 1.51770883079353092332e-02, 1.34974506017398673818e-02, 1.18427578579078790488e-02, 1.02149714397014590439e-02, 8.61658276939872638800e-03, 7.05087547137322242369e-03, 5.52240329925099155545e-03, 4.03797259336302356153e-03, 2.60907274610215926189e-03, 1.26028593049859797236e-03)

F64 = Float64.static_array(1.0000000000000000e+00, 9.7710170126767082e-01, 9.5987909180010600e-01, 9.4519895344229909e-01, 9.3206007595922991e-01, 9.1999150503934646e-01, 9.0872644005213032e-01, 8.9809592189834297e-01, 8.8798466075583282e-01, 8.7830965580891684e-01, 8.6900868803685649e-01, 8.6003362119633109e-01, 8.5134625845867751e-01, 8.4291565311220373e-01, 8.3471629298688299e-01, 8.2672683394622093e-01, 8.1892919160370192e-01, 8.1130787431265572e-01, 8.0384948317096383e-01, 7.9654233042295841e-01, 7.8937614356602404e-01, 7.8234183265480195e-01, 7.7543130498118662e-01, 7.6863731579848571e-01, 7.6195334683679483e-01, 7.5537350650709567e-01, 7.4889244721915638e-01, 7.4250529634015061e-01, 7.3620759812686210e-01, 7.2999526456147568e-01, 7.2386453346862967e-01, 7.1781193263072152e-01, 7.1183424887824798e-01, 7.0592850133275376e-01, 7.0009191813651117e-01, 6.9432191612611627e-01, 6.8861608300467136e-01, 6.8297216164499430e-01, 6.7738803621877308e-01, 6.7186171989708166e-01, 6.6639134390874977e-01, 6.6097514777666277e-01, 6.5561147057969693e-01, 6.5029874311081637e-01, 6.4503548082082196e-01, 6.3982027745305614e-01, 6.3465179928762327e-01, 6.2952877992483625e-01, 6.2445001554702606e-01, 6.1941436060583399e-01, 6.1442072388891344e-01, 6.0946806492577310e-01, 6.0455539069746733e-01, 5.9968175261912482e-01, 5.9484624376798689e-01, 5.9004799633282545e-01, 5.8528617926337090e-01, 5.8055999610079034e-01, 5.7586868297235316e-01, 5.7121150673525267e-01, 5.6658776325616389e-01, 5.6199677581452390e-01, 5.5743789361876550e-01, 5.5291049042583185e-01, 5.4841396325526537e-01, 5.4394773119002582e-01, 5.3951123425695158e-01, 5.3510393238045717e-01, 5.3072530440366150e-01, 5.2637484717168403e-01, 5.2205207467232140e-01, 5.1775651722975591e-01, 5.1348772074732651e-01, 5.0924524599574761e-01, 5.0502866794346790e-01, 5.0083757512614835e-01, 4.9667156905248933e-01, 4.9253026364386815e-01, 4.8841328470545758e-01, 4.8432026942668288e-01, 4.8025086590904642e-01, 4.7620473271950547e-01, 4.7218153846772976e-01, 4.6818096140569321e-01, 4.6420268904817391e-01, 4.6024641781284248e-01, 4.5631185267871610e-01, 4.5239870686184824e-01, 4.4850670150720273e-01, 4.4463556539573912e-01, 4.4078503466580377e-01, 4.3695485254798533e-01, 4.3314476911265209e-01, 4.2935454102944126e-01, 4.2558393133802180e-01, 4.2183270922949573e-01, 4.1810064983784795e-01, 4.1438753404089090e-01, 4.1069314827018799e-01, 4.0701728432947315e-01, 4.0335973922111429e-01, 3.9972031498019700e-01, 3.9609881851583223e-01, 3.9249506145931540e-01, 3.8890886001878855e-01, 3.8534003484007706e-01, 3.8178841087339344e-01, 3.7825381724561896e-01, 3.7473608713789086e-01, 3.7123505766823922e-01, 3.6775056977903225e-01, 3.6428246812900372e-01, 3.6083060098964775e-01, 3.5739482014578022e-01, 3.5397498080007656e-01, 3.5057094148140588e-01, 3.4718256395679348e-01, 3.4380971314685055e-01, 3.4045225704452164e-01, 3.3711006663700588e-01, 3.3378301583071823e-01, 3.3047098137916342e-01, 3.2717384281360129e-01, 3.2389148237639104e-01, 3.2062378495690530e-01, 3.1737063802991350e-01, 3.1413193159633707e-01, 3.1090755812628634e-01, 3.0769741250429189e-01, 3.0450139197664983e-01, 3.0131939610080288e-01, 2.9815132669668531e-01, 2.9499708779996164e-01, 2.9185658561709499e-01, 2.8872972848218270e-01, 2.8561642681550159e-01, 2.8251659308370741e-01, 2.7943014176163772e-01, 2.7635698929566810e-01, 2.7329705406857691e-01, 2.7025025636587519e-01, 2.6721651834356114e-01, 2.6419576399726080e-01, 2.6118791913272082e-01, 2.5819291133761890e-01, 2.5521066995466168e-01, 2.5224112605594190e-01, 2.4928421241852824e-01, 2.4633986350126363e-01, 2.4340801542275012e-01, 2.4048860594050039e-01, 2.3758157443123795e-01, 2.3468686187232990e-01, 2.3180441082433859e-01, 2.2893416541468023e-01, 2.2607607132238020e-01, 2.2323007576391746e-01, 2.2039612748015194e-01, 2.1757417672433113e-01, 2.1476417525117358e-01, 2.1196607630703015e-01, 2.0917983462112499e-01, 2.0640540639788071e-01, 2.0364274931033485e-01, 2.0089182249465656e-01, 1.9815258654577511e-01, 1.9542500351413428e-01, 1.9270903690358912e-01, 1.9000465167046496e-01, 1.8731181422380025e-01, 1.8463049242679927e-01, 1.8196065559952254e-01, 1.7930227452284767e-01, 1.7665532144373500e-01, 1.7401977008183875e-01, 1.7139559563750595e-01, 1.6878277480121151e-01, 1.6618128576448205e-01, 1.6359110823236570e-01, 1.6101222343751107e-01, 1.5844461415592431e-01, 1.5588826472447920e-01, 1.5334316106026283e-01, 1.5080929068184568e-01, 1.4828664273257453e-01, 1.4577520800599403e-01, 1.4327497897351341e-01, 1.4078594981444470e-01, 1.3830811644855071e-01, 1.3584147657125373e-01, 1.3338602969166913e-01, 1.3094177717364430e-01, 1.2850872227999952e-01, 1.2608687022018586e-01, 1.2367622820159654e-01, 1.2127680548479021e-01, 1.1888861344290998e-01, 1.1651166562561080e-01, 1.1414597782783835e-01, 1.1179156816383801e-01, 1.0944845714681163e-01, 1.0711666777468364e-01, 1.0479622562248690e-01, 1.0248715894193508e-01, 1.0018949876880981e-01, 9.7903279038862284e-02, 9.5628536713008819e-02, 9.3365311912690860e-02, 9.1113648066373634e-02, 8.8873592068275789e-02, 8.6645194450557961e-02, 8.4428509570353374e-02, 8.2223595813202863e-02, 8.0030515814663056e-02, 7.7849336702096039e-02, 7.5680130358927067e-02, 7.3522973713981268e-02, 7.1377949058890375e-02, 6.9245144397006769e-02, 6.7124653827788497e-02, 6.5016577971242842e-02, 6.2921024437758113e-02, 6.0838108349539864e-02, 5.8767952920933758e-02, 5.6710690106202902e-02, 5.4666461324888914e-02, 5.2635418276792176e-02, 5.0617723860947761e-02, 4.8613553215868521e-02, 4.6623094901930368e-02, 4.4646552251294443e-02, 4.2684144916474431e-02, 4.0736110655940933e-02, 3.8802707404526113e-02, 3.6884215688567284e-02, 3.4980941461716084e-02, 3.3093219458578522e-02, 3.1221417191920245e-02, 2.9365939758133314e-02, 2.7527235669603082e-02, 2.5705804008548896e-02, 2.3902203305795882e-02, 2.2117062707308864e-02, 2.0351096230044517e-02, 1.8605121275724643e-02, 1.6880083152543166e-02, 1.5177088307935325e-02, 1.3497450601739880e-02, 1.1842757857907888e-02, 1.0214971439701471e-02, 8.6165827693987316e-03, 7.0508754713732268e-03, 5.5224032992509968e-03, 4.0379725933630305e-03, 2.6090727461021627e-03, 1.2602859304985975e-03)

K32 = UInt32.static_array(7838188, 0, 6309365, 7150248, 7507892, 7705263, 7830108, 7916088, 7978859, 8026677, 8064303, 8094676, 8119703, 8140680, 8158515, 8173862, 8187208, 8198920, 8209279, 8218507, 8226779, 8234236, 8240993, 8247143, 8252765, 8257923, 8262673, 8267060, 8271125, 8274901, 8278419, 8281703, 8284777, 8287658, 8290366, 8292914, 8295317, 8297586, 8299733, 8301766, 8303694, 8305525, 8307267, 8308924, 8310504, 8312012, 8313451, 8314827, 8316143, 8317404, 8318612, 8319771, 8320884, 8321952, 8322979, 8323967, 8324918, 8325834, 8326716, 8327567, 8328388, 8329180, 8329946, 8330685, 8331399, 8332090, 8332759, 8333405, 8334032, 8334638, 8335226, 8335795, 8336348, 8336883, 8337403, 8337907, 8338396, 8338871, 8339332, 8339781, 8340216, 8340639, 8341050, 8341450, 8341838, 8342216, 8342584, 8342941, 8343289, 8343628, 8343957, 8344277, 8344589, 8344893, 8345188, 8345476, 8345756, 8346028, 8346293, 8346552, 8346803, 8347048, 8347286, 8347518, 8347743, 8347963, 8348176, 8348384, 8348586, 8348783, 8348974, 8349160, 8349340, 8349516, 8349686, 8349852, 8350012, 8350169, 8350320, 8350467, 8350609, 8350747, 8350880, 8351009, 8351134, 8351255, 8351372, 8351484, 8351592, 8351697, 8351797, 8351894, 8351987, 8352076, 8352161, 8352242, 8352319, 8352393, 8352463, 8352530, 8352592, 8352651, 8352707, 8352758, 8352807, 8352851, 8352892, 8352929, 8352963, 8352992, 8353019, 8353041, 8353060, 8353075, 8353087, 8353094, 8353098, 8353099, 8353095, 8353087, 8353076, 8353060, 8353041, 8353017, 8352990, 8352958, 8352922, 8352882, 8352837, 8352788, 8352735, 8352677, 8352614, 8352547, 8352474, 8352397, 8352314, 8352227, 8352134, 8352035, 8351931, 8351821, 8351705, 8351583, 8351455, 8351320, 8351179, 8351031, 8350876, 8350713, 8350543, 8350364, 8350178, 8349983, 8349780, 8349567, 8349345, 8349112, 8348870, 8348616, 8348352, 8348075, 8347786, 8347485, 8347169, 8346840, 8346495, 8346135, 8345758, 8345363, 8344949, 8344516, 8344062, 8343586, 8343087, 8342562, 8342010, 8341430, 8340819, 8340175, 8339496, 8338778, 8338020, 8337217, 8336365, 8335461, 8334500, 8333476, 8332383, 8331214, 8329962, 8328617, 8327168, 8325604, 8323910, 8322070, 8320062, 8317864, 8315447, 8312776, 8309807, 8306487, 8302749, 8298506, 8293645, 8288016, 8281415, 8273555, 8264025, 8252204, 8237110, 8217091, 8189113, 8146898, 8074800, 7918290)

K64 = UInt64.static_array(2104047571236786_i64, 0, 1693657211986787_i64, 1919380038271141_i64, 2015384402196343_i64, 2068365869448128_i64, 2101878624052573_i64, 2124958784102998_i64, 2141808670795147_i64, 2154644611568301_i64, 2164744887587275_i64, 2172897953696594_i64, 2179616279372365_i64, 2185247251868649_i64, 2190034623107822_i64, 2194154434521197_i64, 2197736978774660_i64, 2200880740891961_i64, 2203661538010620_i64, 2206138681109102_i64, 2208359231806599_i64, 2210361007258210_i64, 2212174742388539_i64, 2213825672704646_i64, 2215334711002614_i64, 2216719334487595_i64, 2217994262139172_i64, 2219171977965032_i64, 2220263139538712_i64, 2221276900117330_i64, 2222221164932930_i64, 2223102796829069_i64, 2223927782546658_i64, 2224701368170060_i64, 2225428170204312_i64, 2226112267248242_i64, 2226757276105256_i64, 2227366415328399_i64, 2227942558554684_i64, 2228488279492521_i64, 2229005890047222_i64, 2229497472775193_i64, 2229964908627060_i64, 2230409900758597_i64, 2230833995044585_i64, 2231238597816133_i64, 2231624991250191_i64, 2231994346765928_i64, 2232347736722750_i64, 2232686144665934_i64, 2233010474325959_i64, 2233321557544881_i64, 2233620161276071_i64, 2233906993781271_i64, 2234182710130335_i64, 2234447917093496_i64, 2234703177503020_i64, 2234949014150181_i64, 2235185913274316_i64, 2235414327692884_i64, 2235634679614920_i64, 2235847363174595_i64, 2236052746716837_i64, 2236251174862869_i64, 2236442970379967_i64, 2236628435876762_i64, 2236807855342765_i64, 2236981495548562_i64, 2237149607321147_i64, 2237312426707209_i64, 2237470176035652_i64, 2237623064889403_i64, 2237771290995388_i64, 2237915041040597_i64, 2238054491421305_i64, 2238189808931712_i64, 2238321151397660_i64, 2238448668260432_i64, 2238572501115169_i64, 2238692784207942_i64, 2238809644895133_i64, 2238923204068402_i64, 2239033576548190_i64, 2239140871448443_i64, 2239245192514958_i64, 2239346638439541_i64, 2239445303151952_i64, 2239541276091442_i64, 2239634642459498_i64, 2239725483455293_i64, 2239813876495186_i64, 2239899895417494_i64, 2239983610673676_i64, 2240065089506935_i64, 2240144396119183_i64, 2240221591827230_i64, 2240296735208969_i64, 2240369882240293_i64, 2240441086423386_i64, 2240510398907004_i64, 2240577868599305_i64, 2240643542273726_i64, 2240707464668391_i64, 2240769678579486_i64, 2240830224948980_i64, 2240889142947082_i64, 2240946470049769_i64, 2241002242111691_i64, 2241056493434746_i64, 2241109256832602_i64, 2241160563691400_i64, 2241210444026879_i64, 2241258926538122_i64, 2241306038658137_i64, 2241351806601435_i64, 2241396255408788_i64, 2241439408989313_i64, 2241481290160038_i64, 2241521920683062_i64, 2241561321300462_i64, 2241599511767028_i64, 2241636510880960_i64, 2241672336512612_i64, 2241707005631362_i64, 2241740534330713_i64, 2241772937851689_i64, 2241804230604585_i64, 2241834426189161_i64, 2241863537413311_i64, 2241891576310281_i64, 2241918554154466_i64, 2241944481475843_i64, 2241969368073071_i64, 2241993223025298_i64, 2242016054702685_i64, 2242037870775710_i64, 2242058678223225_i64, 2242078483339331_i64, 2242097291739040_i64, 2242115108362774_i64, 2242131937479672_i64, 2242147782689725_i64, 2242162646924736_i64, 2242176532448092_i64, 2242189440853337_i64, 2242201373061537_i64, 2242212329317416_i64, 2242222309184237_i64, 2242231311537397_i64, 2242239334556717_i64, 2242246375717369_i64, 2242252431779415_i64, 2242257498775893_i64, 2242261571999416_i64, 2242264645987196_i64, 2242266714504453_i64, 2242267770526109_i64, 2242267806216711_i64, 2242266812908462_i64, 2242264781077289_i64, 2242261700316818_i64, 2242257559310145_i64, 2242252345799276_i64, 2242246046552082_i64, 2242238647326615_i64, 2242230132832625_i64, 2242220486690076_i64, 2242209691384458_i64, 2242197728218684_i64, 2242184577261310_i64, 2242170217290819_i64, 2242154625735679_i64, 2242137778609839_i64, 2242119650443327_i64, 2242100214207556_i64, 2242079441234906_i64, 2242057301132135_i64, 2242033761687079_i64, 2242008788768107_i64, 2241982346215682_i64, 2241954395725356_i64, 2241924896721443_i64, 2241893806220517_i64, 2241861078683830_i64, 2241826665857598_i64, 2241790516600041_i64, 2241752576693881_i64, 2241712788642916_i64, 2241671091451078_i64, 2241627420382235_i64, 2241581706698773_i64, 2241533877376767_i64, 2241483854795281_i64, 2241431556397035_i64, 2241376894317345_i64, 2241319774977817_i64, 2241260098640860_i64, 2241197758920538_i64, 2241132642244704_i64, 2241064627262652_i64, 2240993584191742_i64, 2240919374095536_i64, 2240841848084890_i64, 2240760846432232_i64, 2240676197587784_i64, 2240587717084782_i64, 2240495206318753_i64, 2240398451183567_i64, 2240297220544165_i64, 2240191264522612_i64, 2240080312570155_i64, 2239964071293331_i64, 2239842221996530_i64, 2239714417896699_i64, 2239580280957725_i64, 2239439398282193_i64, 2239291317986196_i64, 2239135544468203_i64, 2238971532964979_i64, 2238798683265269_i64, 2238616332424351_i64, 2238423746288095_i64, 2238220109591890_i64, 2238004514345216_i64, 2237775946143212_i64, 2237533267957822_i64, 2237275200846753_i64, 2237000300869952_i64, 2236706931309099_i64, 2236393229029147_i64, 2236057063479501_i64, 2235695986373246_i64, 2235307169458859_i64, 2234887326941578_i64, 2234432617919447_i64, 2233938522519765_i64, 2233399683022677_i64, 2232809697779198_i64, 2232160850599817_i64, 2231443750584641_i64, 2230646845562170_i64, 2229755753817986_i64, 2228752329126533_i64, 2227613325162504_i64, 2226308442121174_i64, 2224797391720399_i64, 2223025347823832_i64, 2220915633329809_i64, 2218357446087030_i64, 2215184158448668_i64, 2211132412537369_i64, 2205758503851065_i64, 2198248265654987_i64, 2186916352102141_i64, 2167562552481814_i64, 2125549880839716_i64)

R32 = 3.6541528853610087963519472518_f32

R64 = 3.6541528853610087963519472518

RINV32 = 0.27366123732975827203338247596_f32

1. 0 / R32

RINV64 = 0.27366123732975827203338247596

1. 0 / R64

W32 = Float32.static_array(4.66198677960027669255e-07, 2.56588335019207033255e-08, 3.41146697750176784592e-08, 4.00230311410932959821e-08, 4.47179475877737745459e-08, 4.86837785973537366722e-08, 5.21562578925932412861e-08, 5.52695199001886257153e-08, 5.81078488992733116465e-08, 6.07279932024587421409e-08, 6.31701613261172047795e-08, 6.54639842900233842742e-08, 6.76319905583641815324e-08, 6.96917493470166688656e-08, 7.16572544283857476692e-08, 7.35398519048393832969e-08, 7.53488822443557479279e-08, 7.70921367281667127885e-08, 7.87761895947956022626e-08, 8.04066446825615346857e-08, 8.19883218760237408659e-08, 8.35254002936857088917e-08, 8.50215298165053411740e-08, 8.64799190652369040985e-08, 8.79034055989140110861e-08, 8.92945125124233511541e-08, 9.06554945027956262312e-08, 9.19883756905278607229e-08, 9.32949809202232869780e-08, 9.45769618559625849039e-08, 9.58358188855612866442e-08, 9.70729196232813152662e-08, 9.82895146313061088986e-08, 9.94867508514382224721e-08, 1.00665683139461669691e-07, 1.01827284217853923044e-07, 1.02972453302539369464e-07, 1.04102023612124921572e-07, 1.05216768930574060431e-07, 1.06317409364335657741e-07, 1.07404616410877866490e-07, 1.08479017436113134283e-07, 1.09541199642370962438e-07, 1.10591713595628691212e-07, 1.11631076370069356306e-07, 1.12659774359245895023e-07, 1.13678265795837113569e-07, 1.14686983015899673063e-07, 1.15686334498432158725e-07, 1.16676706706789039179e-07, 1.17658465754873988919e-07, 1.18631958917986203582e-07, 1.19597516005596215528e-07, 1.20555450611113917226e-07, 1.21506061251817163689e-07, 1.22449632410483948386e-07, 1.23386435488872536840e-07, 1.24316729681986364321e-07, 1.25240762781015530062e-07, 1.26158771911939892267e-07, 1.27070984215989333455e-07, 1.27977617477468922011e-07, 1.28878880703854958297e-07, 1.29774974662539874521e-07, 1.30666092378141980504e-07, 1.31552419593887221722e-07, 1.32434135200211397569e-07, 1.33311411633413359243e-07, 1.34184415246907777059e-07, 1.35053306657377859830e-07, 1.35918241067904315860e-07, 1.36779368569952053923e-07, 1.37636834425917531047e-07, 1.38490779333783508675e-07, 1.39341339675287344817e-07, 1.40188647748881762555e-07, 1.41032831988654882776e-07, 1.41874017170273235693e-07, 1.42712324604921442006e-07, 1.43547872322127921816e-07, 1.44380775242292721080e-07, 1.45211145339665544509e-07, 1.46039091796461362146e-07, 1.46864721148745476208e-07, 1.47688137424670065700e-07, 1.48509442275598857119e-07, 1.49328735100614641423e-07, 1.50146113164867617390e-07, 1.50961671712187416111e-07, 1.51775504072350982845e-07, 1.52587701763369746341e-07, 1.53398354589133671168e-07, 1.54207550732725568797e-07, 1.55015376845697999657e-07, 1.55821918133584372604e-07, 1.56627258437898192833e-07, 1.57431480314857468671e-07, 1.58234665111056041043e-07, 1.59036893036289199880e-07, 1.59838243233728855017e-07, 1.60638793847630850137e-07, 1.61438622088746393909e-07, 1.62237804297600106296e-07, 1.63036416005787357730e-07, 1.63834531995435479082e-07, 1.64632226356965902954e-07, 1.65429572545287097020e-07, 1.66226643434541294491e-07, 1.67023511371523209274e-07, 1.67820248227882200051e-07, 1.68616925451215588827e-07, 1.69413614115155757272e-07, 1.70210384968549673733e-07, 1.71007308483826142122e-07, 1.71804454904642543391e-07, 1.72601894292900061024e-07, 1.73399696575213681990e-07, 1.74197931588920988271e-07, 1.74996669127712165834e-07, 1.75795978986961275677e-07, 1.76595931008838063924e-07, 1.77396595127278238022e-07, 1.78198041412889183130e-07, 1.79000340117867431104e-07, 1.79803561721004406185e-07, 1.80607776972855859813e-07, 1.81413056941151359868e-07, 1.82219473056520464354e-07, 1.83027097158612474240e-07, 1.83836001542687613069e-07, 1.84646259006759307383e-07, 1.85457942899367347876e-07, 1.86271127168064649331e-07, 1.87085886408701333260e-07, 1.87902295915592424729e-07, 1.88720431732658022414e-07, 1.89540370705627262627e-07, 1.90362190535400839128e-07, 1.91185969832669990437e-07, 1.92011788173893651535e-07, 1.92839726158739913768e-07, 1.93669865469102145482e-07, 1.94502288929804890433e-07, 1.95337080571120616772e-07, 1.96174325693223683314e-07, 1.97014110932714374919e-07, 1.97856524331352952716e-07, 1.98701655407150388211e-07, 1.99549595227971635348e-07, 2.00400436487814600236e-07, 2.01254273585938820883e-07, 2.02111202709026498408e-07, 2.02971321916571014951e-07, 2.03834731229698846698e-07, 2.04701532723644121196e-07, 2.05571830624108885378e-07, 2.06445731407757185541e-07, 2.07323343907107312957e-07, 2.08204779420104330037e-07, 2.09090151824673600213e-07, 2.09979577698577670508e-07, 2.10873176444920111011e-07, 2.11771070423665379388e-07, 2.12673385089569268965e-07, 2.13580249136944118603e-07, 2.14491794651713402832e-07, 2.15408157271244625533e-07, 2.16329476352486921685e-07, 2.17255895148978920488e-07, 2.18187560997337924713e-07, 2.19124625513888206785e-07, 2.20067244802139479285e-07, 2.21015579671883851683e-07, 2.21969795870742159701e-07, 2.22930064329060010376e-07, 2.23896561419128954210e-07, 2.24869469229791575583e-07, 2.25848975857580322189e-07, 2.26835275715640744118e-07, 2.27828569861799901001e-07, 2.28829066347263833069e-07, 2.29836980587561823183e-07, 2.30852535757505260518e-07, 2.31875963212094114516e-07, 2.32907502935486642699e-07, 2.33947404020352726160e-07, 2.34995925180156140289e-07, 2.36053335297164516378e-07, 2.37119914009265667728e-07, 2.38195952338983970691e-07, 2.39281753368440712742e-07, 2.40377632964396957621e-07, 2.41483920557958384709e-07, 2.42600959984018662258e-07, 2.43729110386077326413e-07, 2.44868747192698939290e-07, 2.46020263172594533433e-07, 2.47184069576113545901e-07, 2.48360597371852893654e-07, 2.49550298588131851232e-07, 2.50753647770270890721e-07, 2.51971143565970967140e-07, 2.53203310452642767375e-07, 2.54450700622322097890e-07, 2.55713896041856770961e-07, 2.56993510708419870887e-07, 2.58290193123138874550e-07, 2.59604629008804833146e-07, 2.60937544301314385690e-07, 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