math/test/hypergeometric_1F2.ipp

218 lines
56 KiB
C++

// Copyright John Maddock 2019.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt
// or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 5>, 203> hypergeometric_1F2 = {{
{ SC_(-4.9536584472656250000000000000000000000000e+02), SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(6.2953633625840198330241832636073870213647e+00) },
{ SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.2954168492018348021567539085069725582696e-01) },
{ SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(2.8406789544837496409837534677181916029002e+00) },
{ SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(4.3621387519835661716303050453655954333981e+00) },
{ SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(8.9770347887034762646255416767297731004656e+00) },
{ SC_(-4.1556420898437500000000000000000000000000e+02), SC_(-1.5376660156250000000000000000000000000000e+02), SC_(-1.0021734619140625000000000000000000000000e+02), SC_(3.5587512207031250000000000000000000000000e+02), SC_(4.0952594655659526604226152771672138770580e+07) },
{ SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(1.0392018562107877165208393046336826121615e+00) },
{ SC_(-4.0286828613281250000000000000000000000000e+02), SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(4.4308313520337312066670250774889362476371e-01) },
{ SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(1.1195384661700382236382001507705022784189e+03) },
{ SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(2.7391711425781250000000000000000000000000e+02), SC_(-1.2900365105767572521165387360306912062493e+52) },
{ SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.7088983160726331161548448241078207728564e+00) },
{ SC_(-3.5446105957031250000000000000000000000000e+02), SC_(-2.1732672119140625000000000000000000000000e+02), SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(2.5928803317535669685163913495588679602266e-01) },
{ SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(1.9142889445713712115260413093057932942367e-01) },
{ SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(1.1480130815171587388506615460208536579504e+03) },
{ SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(2.0983327605520708176806967283659011097557e-01) },
{ SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(1.1869817799931480728760769672044110585667e+00) },
{ SC_(-3.3435131835937500000000000000000000000000e+02), SC_(-3.8045288085937500000000000000000000000000e+02), SC_(1.0198193359375000000000000000000000000000e+02), SC_(-2.8043212890625000000000000000000000000000e+01), SC_(7.8509068293092183850912864620461919495373e-01) },
{ SC_(-3.1815307617187500000000000000000000000000e+02), SC_(4.8236047363281250000000000000000000000000e+02), SC_(-2.3619708251953125000000000000000000000000e+02), SC_(-4.0464489746093750000000000000000000000000e+02), SC_(3.2284305619312206575036028397068097398837e-01) },
{ SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(2.0681843344609826233997194529693269163853e+12) },
{ SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-1.1434801258896651208704659123724449421769e+05) },
{ SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(4.5501757812500000000000000000000000000000e+02), SC_(4.8984161004382169077893149986653301379522e+00) },
{ SC_(-2.7102307128906250000000000000000000000000e+02), SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(2.3772578658335831769915649816518556238736e-03) },
{ SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(8.4892537677592787989991483572127549572789e-09) },
{ SC_(-2.6008386230468750000000000000000000000000e+02), SC_(-4.5952893066406250000000000000000000000000e+02), SC_(-3.7668115234375000000000000000000000000000e+02), SC_(-2.4704406738281250000000000000000000000000e+02), SC_(1.4495627712429950621933072560877302044965e+00) },
{ SC_(-2.5830871582031250000000000000000000000000e+02), SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(1.0935759282076007044751382503570393444482e+00) },
{ SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(1.3250416124772042353426751277966619703625e+00) },
{ SC_(-2.3702874755859375000000000000000000000000e+02), SC_(-1.5978033447265625000000000000000000000000e+02), SC_(1.5407910156250000000000000000000000000000e+02), SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.3326049952467952598653371651232863684134e+00) },
{ SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.9056234941228406055930919346670994692304e+01) },
{ SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(6.2898720554615802418327146735741736394814e-01) },
{ SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(4.9288122558593750000000000000000000000000e+02), SC_(1.0487435494209809074694724050956547440689e+03) },
{ SC_(-1.8878497314453125000000000000000000000000e+02), SC_(3.6267810058593750000000000000000000000000e+02), SC_(2.8533142089843750000000000000000000000000e+01), SC_(1.2036004638671875000000000000000000000000e+02), SC_(9.9383072015492347795086661518016762849065e-02) },
{ SC_(-1.6228057861328125000000000000000000000000e+02), SC_(3.8772607421875000000000000000000000000000e+02), SC_(4.0005383300781250000000000000000000000000e+02), SC_(-1.5616046142578125000000000000000000000000e+02), SC_(1.1773064181329539807646132943923713860725e+00) },
{ SC_(-1.4904760742187500000000000000000000000000e+02), SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-2.4029573460782352192606632604885723921759e-06) },
{ SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(1.3554151740644619074420270217185158298084e+00) },
{ SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(3.1576904296875000000000000000000000000000e+02), SC_(8.1520938504033295486071048439136075568494e+00) },
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{ SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(1.1794084458977569869956360625369446312629e+00) },
{ SC_(-9.8191986083984375000000000000000000000000e+01), SC_(-1.1766705322265625000000000000000000000000e+02), SC_(-4.2403332519531250000000000000000000000000e+02), SC_(2.6242126464843750000000000000000000000000e+02), SC_(5.9669343007090826088072192231073904673194e-01) },
{ SC_(-8.2732940673828125000000000000000000000000e+01), SC_(4.8172314453125000000000000000000000000000e+02), SC_(-4.5034558105468750000000000000000000000000e+02), SC_(3.2345532226562500000000000000000000000000e+02), SC_(1.1311809199747059032676993957739437928526e+00) },
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{ SC_(-6.8586181640625000000000000000000000000000e+01), SC_(2.4994097900390625000000000000000000000000e+02), SC_(4.1064758300781250000000000000000000000000e+02), SC_(-3.6700402832031250000000000000000000000000e+02), SC_(1.2771356300389206196314378574550847037874e+00) },
{ SC_(-6.1255645751953125000000000000000000000000e+01), SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(1.4921182330716139350597725372333505935146e+00) },
{ SC_(-5.4413787841796875000000000000000000000000e+01), SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(-2.5278953264648316431087258570812681778992e+04) },
{ SC_(-5.3216247558593750000000000000000000000000e+01), SC_(2.5578985595703125000000000000000000000000e+02), SC_(-1.9365051269531250000000000000000000000000e+02), SC_(-3.9193811035156250000000000000000000000000e+02), SC_(6.5531594455879472422876799045220598756408e-01) },
{ SC_(-4.9458404541015625000000000000000000000000e+01), SC_(2.2049340820312500000000000000000000000000e+02), SC_(-4.1617871093750000000000000000000000000000e+02), SC_(4.1257751464843750000000000000000000000000e+02), SC_(1.2483438748421501457339905802753720720856e+00) },
{ SC_(-1.3208374023437500000000000000000000000000e+01), SC_(4.1056494140625000000000000000000000000000e+02), SC_(-6.4141418457031250000000000000000000000000e+01), SC_(-1.1382293701171875000000000000000000000000e+01), SC_(9.9430625587774773590881102535071325517011e-01) },
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{ SC_(-1.5240092277526855468750000000000000000000e+00), SC_(-1.7586874961853027343750000000000000000000e-01), SC_(-6.5437555313110351562500000000000000000000e-03), SC_(5.4783432006835937500000000000000000000000e+01), SC_(8.7593445866548644784554153716920135220292e+07) },
{ SC_(-1.4920530319213867187500000000000000000000e+00), SC_(1.8754711151123046875000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+00), SC_(-5.5793197631835937500000000000000000000000e+01), SC_(5.9574323300473903736296340992008016775853e+01) },
{ SC_(-1.4028239250183105468750000000000000000000e+00), SC_(-1.0793757438659667968750000000000000000000e+00), SC_(-9.6996712684631347656250000000000000000000e-01), SC_(6.1946899414062500000000000000000000000000e+01), SC_(-3.0454988293761419029095887681263402220572e+09) },
{ SC_(-1.3695478439331054687500000000000000000000e+00), SC_(9.0335583686828613281250000000000000000000e-01), SC_(1.8823709487915039062500000000000000000000e+00), SC_(9.6221923828125000000000000000000000000000e+01), SC_(1.5993919919071500351168916827210844991695e+04) },
{ SC_(-1.3512711524963378906250000000000000000000e+00), SC_(1.7099714279174804687500000000000000000000e+00), SC_(1.1771378517150878906250000000000000000000e+00), SC_(-1.2776489257812500000000000000000000000000e+01), SC_(1.2240014879399043423175568994561403840721e+01) },
{ SC_(-1.2525095939636230468750000000000000000000e+00), SC_(-3.6507534980773925781250000000000000000000e-01), SC_(-4.0942430496215820312500000000000000000000e-02), SC_(-8.4021682739257812500000000000000000000000e+00), SC_(1.4097716434932852029816897270885530598483e+03) },
{ SC_(-1.2136192321777343750000000000000000000000e+00), SC_(1.3938708305358886718750000000000000000000e+00), SC_(-9.9566459655761718750000000000000000000000e-01), SC_(9.1003509521484375000000000000000000000000e+01), SC_(-2.1412398725284440675823281404424652677267e+08) },
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{ SC_(-6.2625485952594317495822906494140625000000e-07), SC_(-1.8253768985232454724609851837158203125000e-07), SC_(-2.0471247808018233627080917358398437500000e-08), SC_(-1.6804332733154296875000000000000000000000e+00), SC_(1.0272970389489382601204444664366227074609e+08) },
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}};
//#undef SC_