WSJT-X/boost/libs/math/test/nct.ipp

230 lines
55 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<typename table_type<T>::type>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<typename table_type<T>::type, 5>, 209-7> nct = {{
{{ SC_(5.637862086296081542968750000000000000000e-1), SC_(-5.074075460433959960937500000000000000000e-1), SC_(-3.162277862429618835449218750000000000000e-2), SC_(6.862274577179818450132372470056769938949e-1), SC_(3.137725422820181549867627529943230061051e-1) }},
{{ SC_(9.567963480949401855468750000000000000000e-1), SC_(-9.472283720970153808593750000000000000000e-1), SC_(-7.905694097280502319335937500000000000000e-2), SC_(8.115615601997266002916301508229723403909e-1), SC_(1.884384398002733997083698491770276596091e-1) }},
{{ SC_(2.380512714385986328125000000000000000000), SC_(-2.378132343292236328125000000000000000000), SC_(-6.344355583190917968750000000000000000000), SC_(1.181983559218041139443788725932712768639e-1), SC_(8.818016440781958860556211274067287231361e-1) }},
{{ SC_(2.707923889160156250000000000000000000000), SC_(2.707923889160156250000000000000000000000), SC_(6.967820167541503906250000000000000000000), SC_(8.962869141158998144131448676176096050228e-1), SC_(1.037130858841001855868551323823903949772e-1) }},
{{ SC_(3.554877519607543945312500000000000000000), SC_(3.555233001708984375000000000000000000000), SC_(7.444825649261474609375000000000000000000), SC_(8.868528863556108953156241536058758129831e-1), SC_(1.131471136443891046843758463941241870169e-1) }},
{{ SC_(6.366665840148925781250000000000000000000), SC_(-6.373032569885253906250000000000000000000), SC_(-1.003813362121582031250000000000000000000e1), SC_(1.297164612941840729663335994423583046378e-1), SC_(8.702835387058159270336664005576416953622e-1) }},
{{ SC_(6.889312267303466796875000000000000000000), SC_(6.958205223083496093750000000000000000000), SC_(1.067599391937255859375000000000000000000e1), SC_(8.692923253313482797187029403902244593628e-1), SC_(1.307076746686517202812970596097755406372e-1) }},
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{{ SC_(7.288346767425537109375000000000000000000), SC_(-8.746016502380371093750000000000000000000), SC_(-1.308834171295166015625000000000000000000e1), SC_(1.317487167403902234213465542239538177641e-1), SC_(8.682512832596097765786534457760461822359e-1) }},
{{ SC_(9.234373092651367187500000000000000000000), SC_(-1.200468444824218750000000000000000000000e1), SC_(-1.678483200073242187500000000000000000000e1), SC_(1.371773284108319849485042712205994589836e-1), SC_(8.628226715891680150514957287794005410164e-1) }},
{{ SC_(1.024338054656982421875000000000000000000e1), SC_(-1.536507034301757812500000000000000000000e1), SC_(-2.095777320861816406250000000000000000000e1), SC_(1.376443537392091127705735460070325295078e-1), SC_(8.623556462607908872294264539929674704922e-1) }},
{{ SC_(1.079011821746826171875000000000000000000e1), SC_(2.158023643493652343750000000000000000000e1), SC_(2.953773117065429687500000000000000000000e1), SC_(8.756990872254366689422087613232016840613e-1), SC_(1.243009127745633310577912386767983159387e-1) }},
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{{ SC_(1.517095088958740234375000000000000000000e1), SC_(6.068380355834960937500000000000000000000e1), SC_(8.029798126220703125000000000000000000000e1), SC_(8.999784514511157146615339407607497230611e-1), SC_(1.000215485488842853384660592392502769389e-1) }},
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{{ SC_(3.152270126342773437500000000000000000000e1), SC_(4.728404998779296875000000000000000000000e1), SC_(5.492649841308593750000000000000000000000e1), SC_(8.498252445594378197691615470039570119257e-1), SC_(1.501747554405621802308384529960429880743e-1) }},
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{{ SC_(1.596211853027343750000000000000000000000e2), SC_(-1.436590576171875000000000000000000000000e2), SC_(-1.451582641601562500000000000000000000000e2), SC_(4.417643071241765182473614578442729999156e-1), SC_(5.582356928758234817526385421557270000844e-1) }},
{{ SC_(1.600561065673828125000000000000000000000e2), SC_(-1.584555511474609375000000000000000000000e2), SC_(-1.614573516845703125000000000000000000000e2), SC_(3.841539866041050632940487868711941827449e-1), SC_(6.158460133958949367059512131288058172551e-1) }},
{{ SC_(1.615062255859375000000000000000000000000e2), SC_(-1.613447265625000000000000000000000000000e2), SC_(-1.666679534912109375000000000000000000000e2), SC_(2.957088865758827952297766445373411369744e-1), SC_(7.042911134241172047702233554626588630256e-1) }},
{{ SC_(1.616351165771484375000000000000000000000e2), SC_(1.616351165771484375000000000000000000000e2), SC_(1.692530822753906250000000000000000000000e2), SC_(7.804668164082968299377228824699980687650e-1), SC_(2.195331835917031700622771175300019312350e-1) }},
{{ SC_(1.619469299316406250000000000000000000000e2), SC_(1.619631347656250000000000000000000000000e2), SC_(1.709622802734375000000000000000000000000e2), SC_(8.194965436733574620900731290907810363677e-1), SC_(1.805034563266425379099268709092189636323e-1) }},
{{ SC_(1.628569793701171875000000000000000000000e2), SC_(1.630198364257812500000000000000000000000e2), SC_(1.728768768310546875000000000000000000000e2), SC_(8.404660764783773469174485040522021093442e-1), SC_(1.595339235216226530825514959477978906558e-1) }},
{{ SC_(1.629447479248046875000000000000000000000e2), SC_(-1.645741882324218750000000000000000000000e2), SC_(-1.746045227050781250000000000000000000000e2), SC_(1.575424483959909318404851228183550185556e-1), SC_(8.424575516040090681595148771816449814444e-1) }},
{{ SC_(1.641681671142578125000000000000000000000e2), SC_(-1.805849914550781250000000000000000000000e2), SC_(-1.915462799072265625000000000000000000000e2), SC_(1.573335944854494629142736979246659337814e-1), SC_(8.426664055145505370857263020753340662186e-1) }},
{{ SC_(1.642492065429687500000000000000000000000e2), SC_(1.970990600585937500000000000000000000000e2), SC_(2.090523681640625000000000000000000000000e2), SC_(8.426987091196232350996963931516288297837e-1), SC_(1.573012908803767649003036068483711702163e-1) }},
{{ SC_(1.643806762695312500000000000000000000000e2), SC_(-2.136948699951171875000000000000000000000e2), SC_(-2.266521148681640625000000000000000000000e2), SC_(1.571073429860085281224507682808356620294e-1), SC_(8.428926570139914718775492317191643379706e-1) }},
{{ SC_(1.646915893554687500000000000000000000000e2), SC_(2.470373840332031250000000000000000000000e2), SC_(2.621127624511718750000000000000000000000e2), SC_(8.448668099691590627588855606599569135540e-1), SC_(1.551331900308409372411144393400430864460e-1) }},
{{ SC_(1.661657409667968750000000000000000000000e2), SC_(-3.323314819335937500000000000000000000000e2), SC_(-3.541530151367187500000000000000000000000e2), SC_(1.363546046209669111927130706242072700954e-1), SC_(8.636453953790330888072869293757927299046e-1) }},
{{ SC_(1.670017242431640625000000000000000000000e2), SC_(5.010051879882812500000000000000000000000e2), SC_(5.365607299804687500000000000000000000000e2), SC_(8.824746044843330736469612185701136118524e-1), SC_(1.175253955156669263530387814298863881476e-1) }},
{{ SC_(1.681434631347656250000000000000000000000e2), SC_(6.725738525390625000000000000000000000000e2), SC_(7.238276367187500000000000000000000000000e2), SC_(8.992656987013872665209365356081730016699e-1), SC_(1.007343012986127334790634643918269983301e-1) }},
{{ SC_(1.696935729980468750000000000000000000000e2), SC_(-8.484678955078125000000000000000000000000e2), SC_(-9.221135864257812500000000000000000000000e2), SC_(7.282932970219271023945143904387565677350e-2), SC_(9.271706702978072897605485609561243432265e-1) }},
{{ SC_(1.698258819580078125000000000000000000000e2), SC_(1.698258781433105468750000000000000000000e1), SC_(1.980040931701660156250000000000000000000e1), SC_(9.719470387146119542829851768946449119598e-1), SC_(2.805296128538804571701482310535508804017e-2) }},
{{ SC_(1.744857788085937500000000000000000000000e2), SC_(-4.362144470214843750000000000000000000000e1), SC_(-5.150732040405273437500000000000000000000e1), SC_(3.322995169190575236751479836974775618462e-3), SC_(9.966770048308094247632485201630252243815e-1) }},
{{ SC_(1.753515014648437500000000000000000000000e2), SC_(-8.767575073242187500000000000000000000000e1), SC_(-1.074056930541992187500000000000000000000e2), SC_(2.662223893738321424320630318453652402469e-4), SC_(9.997337776106261678575679369681546347598e-1) }},
{{ SC_(1.756861419677734375000000000000000000000e2), SC_(-1.317646026611328125000000000000000000000e2), SC_(-1.682105255126953125000000000000000000000e2), SC_(1.550232998735350754650765720581070782100e-5), SC_(9.999844976700126464924534923427941892922e-1) }},
{{ SC_(1.781806640625000000000000000000000000000e2), SC_(-1.603625946044921875000000000000000000000e2), SC_(-1.619059753417968750000000000000000000000e2), SC_(4.427510840848753942205017300207371637469e-1), SC_(5.572489159151246057794982699792628362531e-1) }},
{{ SC_(1.811584014892578125000000000000000000000e2), SC_(-1.793468170166015625000000000000000000000e2), SC_(-1.824870758056640625000000000000000000000e2), SC_(3.851955828443047286965619499537351163898e-1), SC_(6.148044171556952713034380500462648836102e-1) }},
{{ SC_(1.814729614257812500000000000000000000000e2), SC_(1.812914886474609375000000000000000000000e2), SC_(1.868789825439453125000000000000000000000e2), SC_(7.035362100484691927399429102560977978734e-1), SC_(2.964637899515308072600570897439022021266e-1) }},
{{ SC_(1.826751861572265625000000000000000000000e2), SC_(1.826751861572265625000000000000000000000e2), SC_(1.907105255126953125000000000000000000000e2), SC_(7.799873196049647286222313130314984070929e-1), SC_(2.200126803950352713777686869685015929071e-1) }},
{{ SC_(1.831471099853515625000000000000000000000e2), SC_(1.831654205322265625000000000000000000000e2), SC_(1.926689605712890625000000000000000000000e2), SC_(8.192163967452918136616703813674191971081e-1), SC_(1.807836032547081863383296186325808028919e-1) }},
{{ SC_(1.834387359619140625000000000000000000000e2), SC_(1.836221771240234375000000000000000000000e2), SC_(1.940174407958984375000000000000000000000e2), SC_(8.403035276172555322739380106234387661243e-1), SC_(1.596964723827444677260619893765612338757e-1) }},
{{ SC_(1.841749572753906250000000000000000000000e2), SC_(1.860167083740234375000000000000000000000e2), SC_(1.966119689941406250000000000000000000000e2), SC_(8.423069271382795700398439101444273937711e-1), SC_(1.576930728617204299601560898555726062289e-1) }},
{{ SC_(1.858527374267578125000000000000000000000e2), SC_(-2.044380187988281250000000000000000000000e2), SC_(-2.160265808105468750000000000000000000000e2), SC_(1.574804038174927854751974225084637112666e-1), SC_(8.425195961825072145248025774915362887334e-1) }},
{{ SC_(1.867986450195312500000000000000000000000e2), SC_(2.241583862304687500000000000000000000000e2), SC_(2.368225402832031250000000000000000000000e2), SC_(8.425392206438456186820694371845737047599e-1), SC_(1.574607793561543813179305628154262952401e-1) }},
{{ SC_(1.868021392822265625000000000000000000000e2), SC_(-2.428427734375000000000000000000000000000e2), SC_(-2.565665283203125000000000000000000000000e2), SC_(1.572680326600672177070073925543010532140e-1), SC_(8.427319673399327822929926074456989467860e-1) }},
{{ SC_(1.880148162841796875000000000000000000000e2), SC_(-2.820222167968750000000000000000000000000e2), SC_(-2.980253295898437500000000000000000000000e2), SC_(1.552789395983287090937623733357006268049e-1), SC_(8.447210604016712909062376266642993731951e-1) }},
{{ SC_(1.900444183349609375000000000000000000000e2), SC_(-3.800888366699218750000000000000000000000e2), SC_(-4.032850341796875000000000000000000000000e2), SC_(1.363857890620788955477380353547122412928e-1), SC_(8.636142109379211044522619646452877587072e-1) }},
{{ SC_(1.910035247802734375000000000000000000000e2), SC_(5.730105590820312500000000000000000000000e2), SC_(6.108234252929687500000000000000000000000e2), SC_(8.825546776651612915449270809923133302827e-1), SC_(1.174453223348387084550729190076866697173e-1) }},
{{ SC_(1.914333953857421875000000000000000000000e2), SC_(7.657335815429687500000000000000000000000e2), SC_(8.201442260742187500000000000000000000000e2), SC_(8.994307655353378788627687172889911875494e-1), SC_(1.005692344646621211372312827110088124506e-1) }},
{{ SC_(1.915013732910156250000000000000000000000e2), SC_(-9.575068359375000000000000000000000000000e2), SC_(-1.035407836914062500000000000000000000000e3), SC_(7.254550295882910100884475499526303225815e-2), SC_(9.274544970411708989911552450047369677418e-1) }},
{{ SC_(1.918582763671875000000000000000000000000e2), SC_(1.918582725524902343750000000000000000000e1), SC_(2.208179092407226562500000000000000000000e1), SC_(9.721242618485546393356290361951045322104e-1), SC_(2.787573815144536066437096380489546778959e-2) }},
{{ SC_(1.918984985351562500000000000000000000000e2), SC_(-4.797462463378906250000000000000000000000e1), SC_(-5.617157363891601562500000000000000000000e1), SC_(3.221111566392305522573892879121826455479e-3), SC_(9.967788884336076944774261071208781735445e-1) }},
{{ SC_(1.919488067626953125000000000000000000000e2), SC_(-9.597440338134765625000000000000000000000e1), SC_(-1.165421524047851562500000000000000000000e2), SC_(2.481260732563524200219933878692461610213e-4), SC_(9.997518739267436475799780066121307538390e-1) }},
{{ SC_(1.929777069091796875000000000000000000000e2), SC_(-1.447332763671875000000000000000000000000e2), SC_(-1.828341522216796875000000000000000000000e2), SC_(1.358098637444654191572655104301270829943e-5), SC_(9.999864190136255534580842734489569872917e-1) }},
{{ SC_(1.929932708740234375000000000000000000000e2), SC_(-1.736939392089843750000000000000000000000e2), SC_(-1.752710113525390625000000000000000000000e2), SC_(4.434359641618019366789276090072593648763e-1), SC_(5.565640358381980633210723909927406351237e-1) }},
{{ SC_(1.935389862060546875000000000000000000000e2), SC_(1.916035919189453125000000000000000000000e2), SC_(1.948214416503906250000000000000000000000e2), SC_(6.142723104748303441684413193877427660393e-1), SC_(3.857276895251696558315586806122572339607e-1) }},
{{ SC_(1.937735595703125000000000000000000000000e2), SC_(1.935797882080078125000000000000000000000e2), SC_(1.993231201171875000000000000000000000000e2), SC_(7.031303801855181023960454440247304541731e-1), SC_(2.968696198144818976039545559752695458269e-1) }},
{{ SC_(1.941185607910156250000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(2.023715820312500000000000000000000000000e2), SC_(7.797728872340829673174837038355921015185e-1), SC_(2.202271127659170326825162961644078984815e-1) }},
{{ SC_(1.962219390869140625000000000000000000000e2), SC_(-1.962415618896484375000000000000000000000e2), SC_(-2.060424804687500000000000000000000000000e2), SC_(1.809237828594511737114522040101156011652e-1), SC_(8.190762171405488262885477959898843988348e-1) }},
{{ SC_(1.974919281005859375000000000000000000000e2), SC_(-1.976894226074218750000000000000000000000e2), SC_(-2.084357757568359375000000000000000000000e2), SC_(1.597848828006174813168828984223774741925e-1), SC_(8.402151171993825186831171015776225258075e-1) }},
{{ SC_(1.977043151855468750000000000000000000000e2), SC_(1.996813507080078125000000000000000000000e2), SC_(2.106204223632812500000000000000000000000e2), SC_(8.422293832834955684228336504298493504347e-1), SC_(1.577706167165044315771663495701506495653e-1) }},
{{ SC_(1.985762634277343750000000000000000000000e2), SC_(-2.184338989257812500000000000000000000000e2), SC_(-2.303740386962890625000000000000000000000e2), SC_(1.575531385245673058508978138666145574355e-1), SC_(8.424468614754326941491021861333854425645e-1) }},
{{ SC_(1.988137054443359375000000000000000000000e2), SC_(2.385764617919921875000000000000000000000e2), SC_(2.516024322509765625000000000000000000000e2), SC_(8.424688825000982079679215138264048043475e-1), SC_(1.575311174999017920320784861735951956525e-1) }},
{{ SC_(1.992922668457031250000000000000000000000e2), SC_(-2.590799255371093750000000000000000000000e2), SC_(-2.732116088867187500000000000000000000000e2), SC_(1.573382255153084153679636715700757369509e-1), SC_(8.426617744846915846320363284299242630491e-1) }},
{{ SC_(2.322846374511718750000000000000000000000e2), SC_(3.484269409179687500000000000000000000000e2), SC_(3.660482482910156250000000000000000000000e2), SC_(8.445224219835303698101085035756072755625e-1), SC_(1.554775780164696301898914964243927244375e-1) }},
{{ SC_(2.906821289062500000000000000000000000000e2), SC_(5.813642578125000000000000000000000000000e2), SC_(6.095877075195312500000000000000000000000e2), SC_(8.635682877769042305180745412047783757853e-1), SC_(1.364317122230957694819254587952216242147e-1) }},
/*
//
// These last few values are commented out, the complexity of the implementation
// depends upon the square of the non-centrality parameter, so these both take
// a long time to evaluate and are rather hard to evaluate accurately also.
//
{{ SC_(9.757655029296875000000000000000000000000e2), SC_(-2.927296386718750000000000000000000000000e3), SC_(-3.009226074218750000000000000000000000000e3), SC_(1.164317566424995639445047413284130115370e-1), SC_(8.835682433575004360554952586715869884630e-1) }},
{{ SC_(1.879048828125000000000000000000000000000e3), SC_(7.516195312500000000000000000000000000000e3), SC_(7.678772949218750000000000000000000000000e3), SC_(9.017566036730798342611358387622429767684e-1), SC_(9.824339632692016573886416123775702323164e-2) }},
{{ SC_(2.308069091796875000000000000000000000000e3), SC_(-1.154034570312500000000000000000000000000e4), SC_(-1.179905078125000000000000000000000000000e4), SC_(6.872608129209766834994044970484572985093e-2), SC_(9.312739187079023316500595502951542701491e-1) }},
{{ SC_(8.064482421875000000000000000000000000000e3), SC_(-8.064482421875000000000000000000000000000e2), SC_(-8.193711547851562500000000000000000000000e2), SC_(2.389575887949156628152767472787355181112e-2), SC_(9.761042411205084337184723252721264481889e-1) }},
{{ SC_(1.567437500000000000000000000000000000000e4), SC_(-3.918593750000000000000000000000000000000e3), SC_(-3.985162353515625000000000000000000000000e3), SC_(1.542392032294953892149510464673239432939e-3), SC_(9.984576079677050461078504895353267605671e-1) }},
{{ SC_(2.000542187500000000000000000000000000000e4), SC_(-1.000271093750000000000000000000000000000e4), SC_(-1.020245312500000000000000000000000000000e4), SC_(4.337531004895530778641649516506912837255e-5), SC_(9.999566246899510446922135835048349308716e-1) }},
{{ SC_(5.348914843750000000000000000000000000000e4), SC_(-4.011685937500000000000000000000000000000e4), SC_(-4.073089843750000000000000000000000000000e4), SC_(3.883382003866549840825255916580316551597e-7), SC_(9.999996116617996133450159174744083419683e-1) }}
*/
}};
#undef SC_