math/test/hypergeometric_0F2.ipp

270 lines
56 KiB
C++

// Copyright John Maddock 2008.
// 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, 4>, 255> hypergeometric_0F2 = {{
{ SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(1.0013550123274012503281643629835481621491e+00) },
{ SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(-6.1255645751953125000000000000000000000000e+01), SC_(1.0008045482288008613878905914537628888437e+00) },
{ SC_(-4.6428833007812500000000000000000000000000e+02), SC_(-1.3870599365234375000000000000000000000000e+02), SC_(3.4912927246093750000000000000000000000000e+02), SC_(1.0054361590960244514317052562813343972063e+00) },
{ SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(9.9937142193458336300712662386851304924744e-01) },
{ SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(-4.0286828613281250000000000000000000000000e+02), SC_(9.9747330394796032410538209647331764537338e-01) },
{ SC_(-3.8753552246093750000000000000000000000000e+02), SC_(4.1573547363281250000000000000000000000000e+02), SC_(1.3976336669921875000000000000000000000000e+02), SC_(9.9913288567800670560465376832731165310591e-01) },
{ SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(9.9990234705498153808404610903859529590335e-01) },
{ SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(9.9348140693863510115749506422371573420155e-01) },
{ SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(-7.8238739013671875000000000000000000000000e+01), SC_(9.9955892792802478635575395801641016109872e-01) },
{ SC_(-3.2613488769531250000000000000000000000000e+02), SC_(-3.2881335449218750000000000000000000000000e+02), SC_(-1.9808691406250000000000000000000000000000e+02), SC_(9.9815453602218599515426271662441282707593e-01) },
{ SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(9.9855044188853804894946990947110500188253e-01) },
{ SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(3.4071728515625000000000000000000000000000e+02), SC_(9.9547392211818475702670044866243182131780e-01) },
{ SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.0006794383636374608834847128496473193998e+00) },
{ SC_(-1.9183294677734375000000000000000000000000e+02), SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(1.0006118143959052029406077900452398537572e+00) },
{ SC_(-1.8344958496093750000000000000000000000000e+02), SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(1.0091425903971098776250072125842027790700e+00) },
{ SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(8.5267700195312500000000000000000000000000e+01), SC_(9.9858309073053077899790756504828564947261e-01) },
{ SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(1.0049771857160769715415635506383574939497e+00) },
{ SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-7.7912322998046875000000000000000000000000e+01), SC_(1.5547790527343750000000000000000000000000e+02), SC_(1.0186926506384631817121334358716076224150e+00) },
{ SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(9.9770859113172567045095290396207748713121e-01) },
{ SC_(-1.9458435058593750000000000000000000000000e+01), SC_(1.7170547485351562500000000000000000000000e+01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(1.1843708637562542794889169551315847867164e+00) },
{ SC_(-1.8622161865234375000000000000000000000000e+01), SC_(6.5442199707031250000000000000000000000000e+00), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.1052961337782846547617500779699305041287e+00) },
{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.1709699265294645468109432587150419519616e+00) },
{ SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(9.2483070051031126644961165795654718381906e-01) },
{ SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.3371925642946384664229703773889948055531e-01) },
{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(8.9727834112725954814592158721591001531270e-01) },
{ SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-1.7586879730224609375000000000000000000000e+00), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(9.8798390454175472844979515494836456136983e-01) },
{ SC_(-1.4964134216308593750000000000000000000000e+01), SC_(-4.7376632690429687500000000000000000000000e+00), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(-1.6307154809189961783800358984496085912050e+00) },
{ SC_(-1.4324546813964843750000000000000000000000e+01), SC_(-1.9808662414550781250000000000000000000000e+01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(9.4653528197910165241384386830302720544485e-01) },
{ SC_(-1.3045394897460937500000000000000000000000e+01), SC_(-1.3152534484863281250000000000000000000000e+01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(7.9729506879938767419504797215381191262438e-01) },
{ SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(8.5163048830387097953496533791624327293711e-01) },
{ SC_(-1.1523029327392578125000000000000000000000e+01), SC_(1.7359725952148437500000000000000000000000e+01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(8.3463455244679145149454273225637625080044e-01) },
{ SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-5.4413787841796875000000000000000000000000e+01), SC_(8.8207047103340533881092961234370287124678e-01) },
{ SC_(-9.6996726989746093750000000000000000000000e+00), SC_(1.2389381408691406250000000000000000000000e+01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(5.6971226882974825102327326343955088655941e-01) },
{ SC_(-8.8600730895996093750000000000000000000000e+00), SC_(-1.2464721679687500000000000000000000000000e+01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(1.0895185083879982269540444508574348779709e+00) },
{ SC_(-7.6733188629150390625000000000000000000000e+00), SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(1.0801829563303742714796062386840372944152e+00) },
{ SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-8.9230842590332031250000000000000000000000e+00), SC_(7.4485748291015625000000000000000000000000e+01), SC_(-9.7375683797737559231310591870347355470131e+04) },
{ SC_(-6.3845710754394531250000000000000000000000e+00), SC_(1.5070297241210937500000000000000000000000e+01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(8.3898488099816853847904405648254326769818e-01) },
{ SC_(-6.0006504058837890625000000000000000000000e+00), SC_(1.6294586181640625000000000000000000000000e+01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(2.8785236681083962893832262874724843440580e+00) },
{ SC_(-4.3109188079833984375000000000000000000000e+00), SC_(-3.1164932250976562500000000000000000000000e+00), SC_(3.1095581054687500000000000000000000000000e+01), SC_(-2.4338784712090861161103813511742621752907e+05) },
{ SC_(-3.0733947753906250000000000000000000000000e+00), SC_(1.8371650695800781250000000000000000000000e+01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(7.9969594372684567479200044534448737112353e-01) },
{ SC_(-9.7292184829711914062500000000000000000000e-01), SC_(8.5852718353271484375000000000000000000000e-01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-3.8479643557626853493282070912407630508011e+03) },
{ SC_(-9.3110799789428710937500000000000000000000e-01), SC_(3.2721102237701416015625000000000000000000e-01), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.3274006715855418802747314856512628074356e+02) },
{ SC_(-9.2857670783996582031250000000000000000000e-01), SC_(-2.7741205692291259765625000000000000000000e-01), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.5957327900372311760684559064565560425989e+07) },
{ SC_(-9.2711758613586425781250000000000000000000e-01), SC_(-6.2625479698181152343750000000000000000000e-01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.6481448511821567942224413485705877737751e+03) },
{ SC_(-9.0765738487243652343750000000000000000000e-01), SC_(-7.0177221298217773437500000000000000000000e-01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(-2.9128274990676818556608864647623770251180e+03) },
{ SC_(-7.7507114410400390625000000000000000000000e-01), SC_(8.3147096633911132812500000000000000000000e-01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-1.0117101938884752665856634793174177451829e+04) },
{ SC_(-7.6200461387634277343750000000000000000000e-01), SC_(-8.7934374809265136718750000000000000000000e-02), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(-3.7033113793470643167656496040611055767304e-01) },
{ SC_(-7.4820685386657714843750000000000000000000e-01), SC_(-2.3688310384750366210937500000000000000000e-01), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(1.9319431967800207473506144425283470401615e+04) },
{ SC_(-7.1622729301452636718750000000000000000000e-01), SC_(-9.9043321609497070312500000000000000000000e-01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(-3.3628263866410287728387295371785295757993e+04) },
{ SC_(-6.5226984024047851562500000000000000000000e-01), SC_(-6.5762662887573242187500000000000000000000e-01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(3.3169191367622573936844112940010935451687e+03) },
{ SC_(-5.7615137100219726562500000000000000000000e-01), SC_(8.6798644065856933593750000000000000000000e-01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(-1.4036374022754311606447155203103898229226e+04) },
{ SC_(-4.9724388122558593750000000000000000000000e-01), SC_(5.8525199890136718750000000000000000000000e+00), SC_(5.8794998168945312500000000000000000000000e+01), SC_(-7.4740521421705398588809627080752902584409e+02) },
{ SC_(-4.8498356342315673828125000000000000000000e-01), SC_(6.1946892738342285156250000000000000000000e-01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(-2.9423363385064323397108774744926829548419e+05) },
{ SC_(-4.4300353527069091796875000000000000000000e-01), SC_(-6.2323617935180664062500000000000000000000e-01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(2.3984966130592016791972025137424348979093e+03) },
{ SC_(-4.0942382812500000000000000000000000000000e-01), SC_(-1.6804332733154296875000000000000000000000e+00), SC_(-1.0882759094238281250000000000000000000000e+01), SC_(3.6544312817005565101925778445295506072267e+02) },
{ SC_(-3.8366591930389404296875000000000000000000e-01), SC_(-8.0491924285888671875000000000000000000000e-01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(4.1373931861772866189071974403747292693210e+03) },
{ SC_(-3.6689913272857666015625000000000000000000e-01), SC_(-4.4615411758422851562500000000000000000000e-01), SC_(7.4485748291015625000000000000000000000000e+01), SC_(4.6084954714223594122960231171187570977682e+06) },
{ SC_(-3.1922852993011474609375000000000000000000e-01), SC_(7.5351476669311523437500000000000000000000e-01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(-1.5189960576357276764846511052193798221294e+03) },
{ SC_(-3.0003249645233154296875000000000000000000e-01), SC_(8.1472945213317871093750000000000000000000e-01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(1.1425397218870863052081420295537529676230e+02) },
{ SC_(-2.1554595232009887695312500000000000000000e-01), SC_(-1.5582466125488281250000000000000000000000e-01), SC_(3.1095581054687500000000000000000000000000e+01), SC_(1.9440499950444617144099384945685593834293e+05) },
{ SC_(-1.5366977453231811523437500000000000000000e-01), SC_(9.1858267784118652343750000000000000000000e-01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(-1.5053688726396640756231727371601312898225e+03) },
{ SC_(-2.4862170219421386718750000000000000000000e-02), SC_(2.9262602329254150390625000000000000000000e-01), SC_(5.8794998168945312500000000000000000000000e+01), SC_(-3.4749896984152523485508001907364134791527e+06) },
{ SC_(-2.0471215248107910156250000000000000000000e-02), SC_(-8.4021687507629394531250000000000000000000e-02), SC_(-1.0882759094238281250000000000000000000000e+01), SC_(5.3461492782359630199105276366982841464942e+03) },
{ SC_(-9.7292195277987048029899597167968750000000e-07), SC_(8.5852730080659966915845870971679687500000e-07), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-1.9271103726166962938510569511179961586516e+13) },
{ SC_(-9.3110793386586010456085205078125000000000e-07), SC_(3.2721106890676310285925865173339843750000e-07), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(-2.8126605131038490797267494038927727182371e+13) },
{ SC_(-9.2857681011082604527473449707031250000000e-07), SC_(-2.7741202757169958204030990600585937500000e-07), SC_(6.9825866699218750000000000000000000000000e+01), SC_(3.2268478919705029323884116452244203327000e+17) },
{ SC_(-9.2711752586183138191699981689453125000000e-07), SC_(-6.2625485952594317495822906494140625000000e-07), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.4392155307412519401105138508294446700414e+12) },
{ SC_(-9.0765729510167147964239120483398437500000e-07), SC_(-7.0177202360355295240879058837890625000000e-07), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.6544067945091930530356731058579290758979e+14) },
{ SC_(-7.7507093010353855788707733154296875000000e-07), SC_(8.3147097029723227024078369140625000000000e-07), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-3.6211762821896067613320830313261896618602e+15) },
{ SC_(-7.6200467447051778435707092285156250000000e-07), SC_(-8.7934381554077845066785812377929687500000e-08), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(-4.1056848804321189047544136704129419095110e+12) },
{ SC_(-7.4820673034992069005966186523437500000000e-07), SC_(-2.3688312467129435390233993530273437500000e-07), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(2.0080747879640587194562579450431000362773e+14) },
{ SC_(-7.1622730501985643059015274047851562500000e-07), SC_(-9.9043336376780644059181213378906250000000e-07), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(6.0416000724638822195707249315021459452952e+12) },
{ SC_(-6.5226981860178057104349136352539062500000e-07), SC_(-6.5762674239522311836481094360351562500000e-07), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(-2.0199869670530172182787566553911441703018e+14) },
{ SC_(-5.7615147852629888802766799926757812500000e-07), SC_(8.6798627307871356606483459472656250000000e-07), SC_(3.6271911621093750000000000000000000000000e+01), SC_(-1.1695061128266791798094905778237240774796e+16) },
{ SC_(-4.8498350224690511822700500488281250000000e-07), SC_(6.1946889218233991414308547973632812500000e-07), SC_(6.8143432617187500000000000000000000000000e+01), SC_(-2.4820721181133432525728355038272265081430e+17) },
{ SC_(-4.4300361423665890470147132873535156250000e-07), SC_(-6.2323601923708338290452957153320312500000e-07), SC_(9.3762969970703125000000000000000000000000e+00), SC_(3.5401682639779261781455942285698959288172e+14) },
{ SC_(-3.8366590615623863413929939270019531250000e-07), SC_(-8.0491918197367340326309204101562500000000e-07), SC_(9.4441146850585937500000000000000000000000e+00), SC_(3.2220181618469867084434326831857832507200e+14) },
{ SC_(-3.6689914395537925884127616882324218750000e-07), SC_(-4.4615410388360032811760902404785156250000e-07), SC_(7.4485748291015625000000000000000000000000e+01), SC_(6.7970424303966198880037212409823672361687e+17) },
{ SC_(-3.1922854759613983333110809326171875000000e-07), SC_(7.5351476880314294248819351196289062500000e-07), SC_(1.7053543090820312500000000000000000000000e+01), SC_(-2.0387697384015538763129051381854518202058e+15) },
{ SC_(-3.0003252504684496670961380004882812500000e-07), SC_(8.1472944657434709370136260986328125000000e-07), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(-3.1805999648356634895599624901391402290975e+14) },
{ SC_(-2.1554592422035057097673416137695312500000e-07), SC_(-1.5582463674945756793022155761718750000000e-07), SC_(3.1095581054687500000000000000000000000000e+01), SC_(1.0030511650399026216269508869206697861543e+17) },
{ SC_(-1.5366975958386319689452648162841796875000e-07), SC_(9.1858260020671878010034561157226562500000e-07), SC_(1.6191337585449218750000000000000000000000e+01), SC_(-2.9869499707072794942586603211042643253053e+15) },
{ SC_(-2.4862174541340209543704986572265625000000e-08), SC_(2.9262605494295712560415267944335937500000e-07), SC_(5.8794998168945312500000000000000000000000e+01), SC_(-5.4045667308253995922835755248306334625698e+18) },
{ SC_(-2.0471247808018233627080917358398437500000e-08), SC_(-8.4021678503631846979260444641113281250000e-08), SC_(-1.0882759094238281250000000000000000000000e+01), SC_(5.1221368248059083280594747946762194141304e+15) },
{ SC_(-9.7292187954282303063548735725735096905845e-31), SC_(8.5852728321910516794400051740318495311654e-31), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-1.9271068181504199233782822208535432161009e+61) },
{ SC_(-9.3110813489085327723202983614451102360362e-31), SC_(3.2721098365308421385018005249687621799622e-31), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(-2.8126605770611150728936085352273563313542e+61) },
{ SC_(-9.2857696641511466198687091513364110643049e-31), SC_(-2.7741205885620462851359058533722406876215e-31), SC_(6.9825866699218750000000000000000000000000e+01), SC_(3.2268395441987645116852065871138985007905e+65) },
{ SC_(-9.2711747262913370981697693184902596619691e-31), SC_(-6.2625486571131284021741387758775596284020e-31), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.4391314827118519369869053426997014538135e+60) },
{ SC_(-9.0765730471059283879705545472369615567010e-31), SC_(-7.0177200823186695791734846270014022525083e-31), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.6543786760387080941447834665613701443679e+62) },
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}};
//#undef SC_