math/test/ibeta_derivative_large_data.ipp
jzmaddock 3287c922ea Fix some corner cases in the beta functions.
Add better tests for the incomplete beta derivative.
Update docs to match.
2015-09-11 12:02:04 +01:00

1220 lines
259 KiB
C++

// (C) Copyright John Maddock 2006.
// 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)
static const boost::array<boost::array<typename table_type<T>::type, 4>, 1210> ibeta_derivative_large_data = { {
{{ SC_(1.0476082934474106878042221069335937500000e-05), SC_(3.9078187500000000000000000000000000000000e+04), SC_(9.1338449716567993164062500000000000000000e-01), SC_(1.9269302505055971245108533005908825520385e-41521) }},
{{ SC_(1.1273314157733693718910217285156250000000e-05), SC_(2.2662017494440078735351562500000000000000e-02), SC_(1.3556346297264099121093750000000000000000e-01), SC_(9.5833311060979905221980727295357737468569e-05) }},
{{ SC_(1.1377843293303158134222030639648437500000e-05), SC_(3.6544218659400939941406250000000000000000e-02), SC_(9.6887087821960449218750000000000000000000e-01), SC_(3.3222023158036735998897099680773504451652e-04) }},
{{ SC_(1.1428466677898541092872619628906250000000e-05), SC_(2.4451760109513998031616210937500000000000e-03), SC_(1.3556346297264099121093750000000000000000e-01), SC_(9.7033676664585638381273746677575810050956e-05) }},
{{ SC_(1.1846856068586930632591247558593750000000e-05), SC_(1.5964560210704803466796875000000000000000e-02), SC_(3.0823621153831481933593750000000000000000e-01), SC_(5.5192306869844455469962545850631999485560e-05) }},
{{ SC_(1.2158005119999870657920837402343750000000e-05), SC_(2.4110496093750000000000000000000000000000e+04), SC_(1.3556346297264099121093750000000000000000e-01), SC_(4.1691304653994518958586532492091054824083e-1530) }},
{{ SC_(1.3034172297921031713485717773437500000000e-05), SC_(2.6168341796875000000000000000000000000000e+04), SC_(1.2707412242889404296875000000000000000000e-01), SC_(3.5131369801838022244189263561014529757933e-1549) }},
{{ SC_(1.3885271982871927320957183837890625000000e-05), SC_(4.9762740731239318847656250000000000000000e-02), SC_(6.3239604234695434570312500000000000000000e-01), SC_(5.6811171490789982191243977143552781827692e-05) }},
{{ SC_(1.3901616512157488614320755004882812500000e-05), SC_(3.1888823286863043904304504394531250000000e-05), SC_(8.1474220752716064453125000000000000000000e-01), SC_(6.4136860372805759679245829936722379832552e-05) }},
{{ SC_(1.4759907571715302765369415283203125000000e-05), SC_(2.8241312503814697265625000000000000000000e+00), SC_(6.3239604234695434570312500000000000000000e-01), SC_(3.7609461264452087672100113133375774171817e-06) }},
{{ SC_(1.5079472177603747695684432983398437500000e-05), SC_(4.8754711315268650650978088378906250000000e-05), SC_(2.2111195325851440429687500000000000000000e-01), SC_(6.6872412074058490069916374670256458887574e-05) }},
{{ SC_(1.5196248568827286362648010253906250000000e-05), SC_(1.6177537109375000000000000000000000000000e+04), SC_(8.1474220752716064453125000000000000000000e-01), SC_(2.6910083770664820015271856038619503004517e-11850) }},
{{ SC_(1.5544977941317483782768249511718750000000e-05), SC_(4.0469245910644531250000000000000000000000e+01), SC_(9.0580135583877563476562500000000000000000e-01), SC_(5.5068258519819312527899610527681704563872e-46) }},
{{ SC_(1.5675454051233828067779541015625000000000e-05), SC_(1.0191339242737740278244018554687500000000e-04), SC_(8.1474220752716064453125000000000000000000e-01), SC_(8.9993789667585905658020173941717362428122e-05) }},
{{ SC_(1.5971760149113833904266357421875000000000e-05), SC_(1.9206241607666015625000000000000000000000e+01), SC_(9.1338449716567993164062500000000000000000e-01), SC_(7.9493607822778359703597009221512935383254e-25) }},
{{ SC_(1.6304524251609109342098236083984375000000e-05), SC_(3.9033559733070433139801025390625000000000e-04), SC_(1.2707412242889404296875000000000000000000e-01), SC_(1.4107950737191129013664827309554815349320e-04) }},
{{ SC_(1.6487292668898589909076690673828125000000e-05), SC_(4.7099715625000000000000000000000000000000e+05), SC_(1.2707412242889404296875000000000000000000e-01), SC_(4.7913621881963152427739710649393818331186e-27804) }},
{{ SC_(1.6504469385836273431777954101562500000000e-05), SC_(3.5758438110351562500000000000000000000000e+00), SC_(3.0823621153831481933593750000000000000000e-01), SC_(2.0724212982706756891833285332465709443072e-05) }},
{{ SC_(1.6625948774162679910659790039062500000000e-05), SC_(1.4781887500000000000000000000000000000000e+05), SC_(6.3239604234695434570312500000000000000000e-01), SC_(6.9409752645519688050551102031654135482280e-64250) }},
{{ SC_(1.6847467122715897858142852783203125000000e-05), SC_(2.2076526656746864318847656250000000000000e-03), SC_(9.6887087821960449218750000000000000000000e-01), SC_(5.5014020851638370971095475825558113712879e-04) }},
{{ SC_(1.7474903870606794953346252441406250000000e-05), SC_(2.6349246501922607421875000000000000000000e-01), SC_(6.3239604234695434570312500000000000000000e-01), SC_(5.7742678064008213233661580897444084068984e-05) }},
{{ SC_(1.7863809262053109705448150634765625000000e-05), SC_(4.3938714599609375000000000000000000000000e+02), SC_(8.3502507209777832031250000000000000000000e-01), SC_(1.8047299302665262153684660799151120674515e-348) }},
{{ SC_(1.8952476239064708352088928222656250000000e-05), SC_(1.0710955858230590820312500000000000000000e+00), SC_(9.6887087821960449218750000000000000000000e-01), SC_(1.5285214215785027121846881868390257772640e-05) }},
{{ SC_(1.9740999050554819405078887939453125000000e-05), SC_(1.0541565704345703125000000000000000000000e+02), SC_(3.0823621153831481933593750000000000000000e-01), SC_(1.2462675909278790257612853184177372341877e-21) }},
{{ SC_(2.0043353288201615214347839355468750000000e-05), SC_(4.8200701904296875000000000000000000000000e+02), SC_(9.0580135583877563476562500000000000000000e-01), SC_(7.1329908730035636587973495274032238697837e-499) }},
{{ SC_(2.0171286450931802392005920410156250000000e-05), SC_(2.3297929382324218750000000000000000000000e+02), SC_(1.3556346297264099121093750000000000000000e-01), SC_(3.1334220174761613485155713513907281344154e-19) }},
{{ SC_(2.0203804524498991668224334716796875000000e-05), SC_(4.2833633422851562500000000000000000000000e+01), SC_(1.3556346297264099121093750000000000000000e-01), SC_(3.3622284538930603368044557590928521727262e-07) }},
{{ SC_(2.0300331016187556087970733642578125000000e-05), SC_(4.2389381408691406250000000000000000000000e+01), SC_(9.6887087821960449218750000000000000000000e-01), SC_(9.0029275784954506006618232886585004960739e-68) }},
{{ SC_(2.0518851670203730463981628417968750000000e-05), SC_(2.3608789062500000000000000000000000000000e+05), SC_(8.3502507209777832031250000000000000000000e-01), SC_(1.0643188085559563702319912328927622466179e-184762) }},
{{ SC_(2.1041001673438586294651031494140625000000e-05), SC_(3.8230969905853271484375000000000000000000e+00), SC_(1.2707412242889404296875000000000000000000e-01), SC_(1.1281844466426513832141657582696990453916e-04) }},
{{ SC_(2.1076917619211599230766296386718750000000e-05), SC_(4.4897153973579406738281250000000000000000e-02), SC_(2.2111195325851440429687500000000000000000e-01), SC_(1.2095682710935519338811690842309612816165e-04) }},
{{ SC_(2.1139929231139831244945526123046875000000e-05), SC_(1.7535277947899885475635528564453125000000e-05), SC_(8.3502507209777832031250000000000000000000e-01), SC_(6.9574596097337548293956783627770428210152e-05) }},
{{ SC_(2.1433561414596624672412872314453125000000e-05), SC_(3.7192790527343750000000000000000000000000e+03), SC_(8.1474220752716064453125000000000000000000e-01), SC_(6.4386567373877537247094205103572131215090e-2728) }},
{{ SC_(2.2448601157520897686481475830078125000000e-05), SC_(4.4507128125000000000000000000000000000000e+05), SC_(2.2111195325851440429687500000000000000000e-01), SC_(5.9123809355675617071100882089078885260769e-48306) }},
{{ SC_(2.2683978386339731514453887939453125000000e-05), SC_(4.0550004690885543823242187500000000000000e-02), SC_(9.0580135583877563476562500000000000000000e-01), SC_(2.4143259165111534783158028596193412141163e-04) }},
{{ SC_(2.3484906705562025308609008789062500000000e-05), SC_(2.5542792968750000000000000000000000000000e+04), SC_(9.6887087821960449218750000000000000000000e-01), SC_(1.4613292200324103655664350909547841376771e-38492) }},
{{ SC_(2.3615430109202861785888671875000000000000e-05), SC_(4.5070295333862304687500000000000000000000e+00), SC_(9.0580135583877563476562500000000000000000e-01), SC_(6.5784920607079156960448372936358673309457e-09) }},
{{ SC_(2.3999349650694057345390319824218750000000e-05), SC_(4.6294589233398437500000000000000000000000e+02), SC_(8.1474220752716064453125000000000000000000e-01), SC_(1.6657197560684365482736346376325868555654e-343) }},
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{{ SC_(2.5217834263457916676998138427734375000000e-05), SC_(1.8322723388671875000000000000000000000000e+03), SC_(9.1338449716567993164062500000000000000000e-01), SC_(7.7518981066572793563324226008490523514466e-1951) }},
{{ SC_(2.5262335839215666055679321289062500000000e-05), SC_(1.8408362567424774169921875000000000000000e-01), SC_(1.3556346297264099121093750000000000000000e-01), SC_(2.0983250061850652554283295484076766673708e-04) }},
{{ SC_(2.5689081667223945260047912597656250000000e-05), SC_(2.6883506216108798980712890625000000000000e-03), SC_(9.0580135583877563476562500000000000000000e-01), SC_(2.9633400604718586720743586615432362801330e-04) }},
{{ SC_(2.6870451620197854936122894287109375000000e-05), SC_(1.4498581003863364458084106445312500000000e-04), SC_(8.3502507209777832031250000000000000000000e-01), SC_(1.6451370278130605379032750160762035080215e-04) }},
{{ SC_(2.7549775040824897587299346923828125000000e-05), SC_(1.5035864710807800292968750000000000000000e-01), SC_(1.2707412242889404296875000000000000000000e-01), SC_(2.4328057232001415511194591117290876249375e-04) }},
{{ SC_(2.7823447453556582331657409667968750000000e-05), SC_(2.9502755403518676757812500000000000000000e-01), SC_(8.3502507209777832031250000000000000000000e-01), SC_(1.1867846931583283922909126369607443422528e-04) }},
{{ SC_(2.8775624741683714091777801513671875000000e-05), SC_(2.5491835937500000000000000000000000000000e+04), SC_(9.0580135583877563476562500000000000000000e-01), SC_(1.1032298987116139029535922026525897628421e-26157) }},
{{ SC_(2.8931553970323875546455383300781250000000e-05), SC_(4.9498385620117187500000000000000000000000e+02), SC_(9.6887087821960449218750000000000000000000e-01), SC_(1.3303003211363903594153077624232194967656e-749) }},
{{ SC_(2.9415024982881732285022735595703125000000e-05), SC_(4.1924233664758503437042236328125000000000e-04), SC_(3.0823621153831481933593750000000000000000e-01), SC_(1.2888309347861001413319390810778229090474e-04) }},
{{ SC_(2.9590575650217942893505096435546875000000e-05), SC_(2.8319567441940307617187500000000000000000e-01), SC_(8.1474220752716064453125000000000000000000e-01), SC_(1.2160492624859091163816259840837589444100e-04) }},
{{ SC_(2.9934562917333096265792846679687500000000e-05), SC_(4.0956687927246093750000000000000000000000e+00), SC_(8.1474220752716064453125000000000000000000e-01), SC_(1.9881664406985553711866073630971898194878e-07) }},
{{ SC_(3.0238283216021955013275146484375000000000e-05), SC_(4.7602958679199218750000000000000000000000e+01), SC_(2.2111195325851440429687500000000000000000e-01), SC_(1.1978404831482692130972775801809405653434e-09) }},
{{ SC_(3.1141327781369909644126892089843750000000e-05), SC_(3.4814400000000000000000000000000000000000e+05), SC_(3.0823621153831481933593750000000000000000e-01), SC_(2.7636151215428645239088811782828970918951e-55722) }},
{{ SC_(3.1231902539730072021484375000000000000000e-05), SC_(3.3712953125000000000000000000000000000000e+04), SC_(2.2111195325851440429687500000000000000000e-01), SC_(3.6451511761351381992689647997951726838636e-3663) }},
{{ SC_(3.1875260901870205998420715332031250000000e-05), SC_(4.9715250497683882713317871093750000000000e-05), SC_(9.0580135583877563476562500000000000000000e-01), SC_(2.2760077294040193845593750743527635175590e-04) }},
{{ SC_(3.1888619560049846768379211425781250000000e-05), SC_(1.6322303771972656250000000000000000000000e+01), SC_(8.3502507209777832031250000000000000000000e-01), SC_(3.8995995065514632081453892228370578058073e-17) }},
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{{ SC_(3.2712865504436194896697998046875000000000e-05), SC_(3.1094858398437500000000000000000000000000e+03), SC_(9.6887087821960449218750000000000000000000e-01), SC_(3.6234504641719643657188349243191166942956e-4689) }},
{{ SC_(3.2752945116953924298286437988281250000000e-05), SC_(2.5796328125000000000000000000000000000000e+04), SC_(8.3502507209777832031250000000000000000000e-01), SC_(4.2940316248959287719701453977114063200351e-20192) }},
{{ SC_(3.3410564356017857789993286132812500000000e-05), SC_(3.3780144042968750000000000000000000000000e+03), SC_(2.2111195325851440429687500000000000000000e-01), SC_(4.8867408213533821609255170573649789313858e-371) }},
{{ SC_(3.3410709875170141458511352539062500000000e-05), SC_(4.2327022552490234375000000000000000000000e+00), SC_(9.1338449716567993164062500000000000000000e-01), SC_(1.3453066297259572962863201470082350879275e-08) }},
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