math/test/hypergeometric_1F1.ipp

2574 lines
559 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, 4>, 2560> hypergeometric_1F1 = {{
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.1192211540270692135684850769467754943864e+07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(2.5143811314216628861217890131957547270332e+07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.8490645992100905657010395716213517079320e+04) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.2584998744350866041098736430457431758187e+08) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.6000347009421229528205145741103121287486e+08) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.9310911983866698694771550134279429856052e+10) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(2.6330059700153438121714438258323563534913e+10) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(2.2537006694081032175908514583194485875714e+11) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.6237309362366581930053548040412248168521e+08) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.9626220234068125064350589227213124310459e+07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(3.3200784547211743132061867908668953518000e+05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(6.0959134328264263700796956004993971891222e+08) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(1.6540578259446250549219669834573986864094e+09) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(4.0170925241529790410295616043598253646110e+10) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.5155993297162409281822542019370194297033e+10) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.9360683328099093749507850506373936413405e+11) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(-9.7525833709353354966279157903896435385931e+15) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(-6.2825210881714224212672547825813138849727e+15) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(-3.8757505732987639831380304268522524550201e+13) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.4497155514636404513968826200000866632580e+11) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-5.8263811346507854556425569414825426998446e+12) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-1.5535497967956674593905372806396195361000e+15) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-2.4531729513823375531857961435127834737997e+15) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-4.8449036469827200268157658927345360703885e+16) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2023016806095826062560744356589208962321e+07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.5117908330406493968101436984219340382937e+06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.3805493458724361725255413925649780149519e+05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.8625136572679071818542020295525974734853e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-4.0742388232269332201527679924750480985781e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.0401820915092759295927802900824189286969e-05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.2171854266988646271515043865783488146673e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.2273907467953269510681662585494726655634e-05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.1662899752201558926692508855790084872754e+06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(5.6930811346973633228760609012281444374845e+06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(4.6392501669169102298863828043571358947474e+05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(2.1505542162847578119830769451665124064327e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.9753772535784104155251163229589487376403e-08) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.8693544100889813009208758683031529490469e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(7.4392694539110955728991171086048010844426e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.9471039344612588380101299129118206752508e-05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.4926608456056184648659183467188639954264e+06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.2019789969070818410907631377317029885175e+06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(1.1481295077183033833177281867723829306898e+05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.9163769347312715966829685000237278929992e-07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-6.7590218595561886672742019750656682985281e-08) },
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{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.4844480302368899715476035090290400119866e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2854301294129886596311808819952551214732e+06) },
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{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.1485939034768644279791008360361077831082e-07) },
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{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-6.4019735175162124788647358321468454636222e-07) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.2802251093504580453605415737875243656637e-06) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.7104821806071019992487684423413509304853e+05) },
{ SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(3.8348835076786326524031386558176679447254e+05) },
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{ SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(3.0536615279056920437855666155795885379621e+10) },
{ SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(-9.8009339159280899993413360224354080795338e+06) },
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{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(6.7308975315302781016305361824663266984848e+13) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.6295399432189323162542831232082150482646e-08) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.0194297154567438456087626808728266472124e-07) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(2.3119032708921826042467399899541287797659e-06) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.6411993227997707183522199448336883950595e+08) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(6.1374461568405594813525139923227866410862e+08) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.5384616052888809928433157372272489553006e+10) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(1.0842828456086984753186911473077983080517e+11) },
{ SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.5218251677481531875880698139531607502434e+12) }
}};
//#undef SC_