| // Copyright (c) 2006 John Maddock |
| // 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) |
| // |
| // Each row of data contains in order: |
| // |
| // n, phi, k, PI(n, phi, k) |
| // |
| #define SC_(x) static_cast<T>(BOOST_JOIN(x, L)) |
| static const boost::array<boost::array<T, 4>, 400> ellint_pi3_data = { |
| SC_(0.97540400922298431396484375e-1), SC_(0.15321610867977142333984375e0), SC_(0.814723670482635498046875e0), SC_(0.15373203842748125370338546651780574888816846402842e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.1994704306125640869140625e0), SC_(0.135477006435394287109375e0), SC_(0.19975117232566753482238350513231879856319046077755e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.2128067910671234130859375e0), SC_(0.905791938304901123046875e0), SC_(0.21444962146028791552496083456124507126701014421723e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.295909702777862548828125e0), SC_(0.835008561611175537109375e0), SC_(0.2997980220798275355640498732995940042091456814389e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.3471994698047637939453125e0), SC_(0.12698681652545928955078125e0), SC_(0.3486476485633547682857103272510437125962758824058e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.4374639987945556640625e0), SC_(0.968867778778076171875e0), SC_(0.45394401267101670348318068398554096043112056011139e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.4840676784515380859375e0), SC_(0.9133758544921875e0), SC_(0.50429356834860180919136192213432534063086058053706e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.859039485454559326171875e0), SC_(0.22103404998779296875e0), SC_(0.88214398516284753446093152446515519356116616485632e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.859572112560272216796875e0), SC_(0.6323592662811279296875e0), SC_(0.92068616339339750141383142107393122316780108757901e0), |
| SC_(0.97540400922298431396484375e-1), SC_(0.993307650089263916015625e0), SC_(0.308167040348052978515625e0), SC_(0.10344161605846899329010060099405650089702846030678e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.127976500988006591796875e1), SC_(0.97540400922298431396484375e-1), SC_(0.13345405612458198850035058621296608418958648996025e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.131162846088409423828125e1), SC_(0.54722058773040771484375e0), SC_(0.1467211661750789199498096403270216766602112811216e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.142281472682952880859375e1), SC_(0.278498232364654541015625e0), SC_(0.1517376955674343715832681461618162299318704226245e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.14347274303436279296875e1), SC_(0.188381969928741455078125e0), SC_(0.15154584947701684136724391750741680569501800622377e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.150404822826385498046875e1), SC_(0.546881496906280517578125e0), SC_(0.17193768372540183459266121250638009185486028760609e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.15156433582305908203125e1), SC_(0.992881298065185546875e0), SC_(0.32971643837652261637854814203821825514327178475199e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.15200517177581787109375e1), SC_(0.957506835460662841796875e0), SC_(0.26533602409619323321869623248304538129999833091585e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.1521893978118896484375e1), SC_(0.996461331844329833984375e0), SC_(0.3561780644579714064351594651991953922505125185799e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.155961430072784423828125e1), SC_(0.964888513088226318359375e0), SC_(0.28980698413581142714910692917445567690962125009838e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.156523787975311279296875e1), SC_(0.967694938182830810546875e0), SC_(0.2963846383355250968965561470164902664673523718254e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.15321610867977142333984375e0), SC_(0.15761308372020721435546875e0), SC_(0.15338276528480469307645524589925911983842933545318e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.1994704306125640869140625e0), SC_(0.725838959217071533203125e0), SC_(0.20050472017966223244832559958930749817872953420574e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.2128067910671234130859375e0), SC_(0.970592796802520751953125e0), SC_(0.21474633975859950860058990149085299903493818118173e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.295909702777862548828125e0), SC_(0.981109678745269775390625e0), SC_(0.30126622877564752427416022416319928001205083826745e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.3471994698047637939453125e0), SC_(0.957166969776153564453125e0), SC_(0.35556281810161664845441307089338900623226704681013e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.4374639987945556640625e0), SC_(0.109861753880977630615234375e0), SC_(0.44108704490870617851306791784352122043342900288043e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.4840676784515380859375e0), SC_(0.4853756427764892578125e0), SC_(0.4931534053333340013873746669080440363943172483071e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.859039485454559326171875e0), SC_(0.79810583591461181640625e0), SC_(0.95793555582395747656127633027011309520362186574239e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.859572112560272216796875e0), SC_(0.80028045177459716796875e0), SC_(0.95916493478176953527039854676450394699681072398641e0), |
| SC_(0.12698681652545928955078125e0), SC_(0.993307650089263916015625e0), SC_(0.297029435634613037109375e0), SC_(0.10423576221417789616871878908198112649827548095731e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.127976500988006591796875e1), SC_(0.14188633859157562255859375e0), SC_(0.13546856275247299959686911377471236914557130492097e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.131162846088409423828125e1), SC_(0.47834846191108226776123046875e-2), SC_(0.13852508127489059545144640536254575613018719622883e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.142281472682952880859375e1), SC_(0.4217612743377685546875e0), SC_(0.1580806460730606927026951555195055758185719667744e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.14347274303436279296875e1), SC_(0.1124645173549652099609375e0), SC_(0.15299877934449998899665605808479497934876736447949e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.150404822826385498046875e1), SC_(0.915735542774200439453125e0), SC_(0.23689609442676919170416815484427154520853373075881e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.15156433582305908203125e1), SC_(0.639763355255126953125e0), SC_(0.1835738109897334786523262319533878046183264001931e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.15200517177581787109375e1), SC_(0.792207300662994384765625e0), SC_(0.20421897283663486226184747704649952019905530832883e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.1521893978118896484375e1), SC_(0.878430664539337158203125e0), SC_(0.22634516501807612485356151537759920819079714452558e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.155961430072784423828125e1), SC_(0.9594924449920654296875e0), SC_(0.28887516554719816744397706140122177270738385968024e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.156523787975311279296875e1), SC_(0.50366270542144775390625e0), SC_(0.18034472925184640376371577046428385276285373444411e1), |
| SC_(0.135477006435394287109375e0), SC_(0.15321610867977142333984375e0), SC_(0.655740678310394287109375e0), SC_(0.15363629557196132980883089360225522896492220958322e0), |
| SC_(0.135477006435394287109375e0), SC_(0.1994704306125640869140625e0), SC_(0.797928631305694580078125e0), SC_(0.20067494179979137242421676287559757328741739620642e0), |
| SC_(0.135477006435394287109375e0), SC_(0.2128067910671234130859375e0), SC_(0.357116796076297760009765625e-1), SC_(0.21324169024677035294223198881641105042673468575295e0), |
| SC_(0.135477006435394287109375e0), SC_(0.295909702777862548828125e0), SC_(0.3612940013408660888671875e0), SC_(0.29762814633345360441629373229306400484051906392213e0), |
| SC_(0.135477006435394287109375e0), SC_(0.3471994698047637939453125e0), SC_(0.84912931919097900390625e0), SC_(0.35421678576166500134526995976876470429367721514915e0), |
| SC_(0.135477006435394287109375e0), SC_(0.4374639987945556640625e0), SC_(0.21192432940006256103515625e0), SC_(0.44177167179472452041878404853114448084677945000124e0), |
| SC_(0.135477006435394287109375e0), SC_(0.4840676784515380859375e0), SC_(0.93399322032928466796875e0), SC_(0.50663380674601173483407086537779743434452929228299e0), |
| SC_(0.135477006435394287109375e0), SC_(0.859039485454559326171875e0), SC_(0.6813595294952392578125e0), SC_(0.93627839278165512585472067471532220087472706511487e0), |
| SC_(0.135477006435394287109375e0), SC_(0.859572112560272216796875e0), SC_(0.67873513698577880859375e0), SC_(0.93649514133220802251023716495055301794222292469291e0), |
| SC_(0.135477006435394287109375e0), SC_(0.993307650089263916015625e0), SC_(0.3987385332584381103515625e0), SC_(0.10560205210680177542821652194191329203962951766098e1), |
| SC_(0.135477006435394287109375e0), SC_(0.127976500988006591796875e1), SC_(0.75774013996124267578125e0), SC_(0.15792362576660079817584588221413499564813109220967e1), |
| SC_(0.135477006435394287109375e0), SC_(0.131162846088409423828125e1), SC_(0.740647256374359130859375e0), SC_(0.16166573009327473944412502794295013421915138113773e1), |
| SC_(0.135477006435394287109375e0), SC_(0.142281472682952880859375e1), SC_(0.74313247203826904296875e0), SC_(0.18051149573204353151046319086097224034327358735037e1), |
| SC_(0.135477006435394287109375e0), SC_(0.14347274303436279296875e1), SC_(0.474758684635162353515625e0), SC_(0.16246331859624891584468937862242197255022663725014e1), |
| SC_(0.135477006435394287109375e0), SC_(0.150404822826385498046875e1), SC_(0.3922270238399505615234375e0), SC_(0.16794499146710961167059977468015447083859789387452e1), |
| SC_(0.135477006435394287109375e0), SC_(0.15156433582305908203125e1), SC_(0.42208766937255859375e0), SC_(0.17060778738061936719641657840144566082201208057621e1), |
| SC_(0.135477006435394287109375e0), SC_(0.15200517177581787109375e1), SC_(0.65547788143157958984375e0), SC_(0.18666567615959102360545655098338303883335250287837e1), |
| SC_(0.135477006435394287109375e0), SC_(0.1521893978118896484375e1), SC_(0.1738651692867279052734375e0), SC_(0.16454282072183386718850345865233706115846811877772e1), |
| SC_(0.135477006435394287109375e0), SC_(0.155961430072784423828125e1), SC_(0.1711866855621337890625e0), SC_(0.16893141542034271144719727903810757021076763554868e1), |
| SC_(0.135477006435394287109375e0), SC_(0.156523787975311279296875e1), SC_(0.3019131124019622802734375e0), SC_(0.17247629437572107835994205744033158553091594172942e1), |
| SC_(0.188381969928741455078125e0), SC_(0.15321610867977142333984375e0), SC_(0.70604610443115234375e0), SC_(0.15374129235371893318320391783184832151469294397024e0), |
| SC_(0.188381969928741455078125e0), SC_(0.1994704306125640869140625e0), SC_(0.797279894351959228515625e0), SC_(0.2008145356675702347171190965342317709807636891598e0), |
| SC_(0.188381969928741455078125e0), SC_(0.2128067910671234130859375e0), SC_(0.318328440189361572265625e-1), SC_(0.21341117056965599965495209080176878817755967511103e0), |
| SC_(0.188381969928741455078125e0), SC_(0.295909702777862548828125e0), SC_(0.316550433635711669921875e0), SC_(0.29795513263165928606457135223504215685844085773217e0), |
| SC_(0.188381969928741455078125e0), SC_(0.3471994698047637939453125e0), SC_(0.2769229710102081298828125e0), SC_(0.35033068412795226925211701071698054849499734821317e0), |
| SC_(0.188381969928741455078125e0), SC_(0.4374639987945556640625e0), SC_(0.872428834438323974609375e0), SC_(0.45377622361953390225693442448312860081404123131496e0), |
| SC_(0.188381969928741455078125e0), SC_(0.4840676784515380859375e0), SC_(0.46171389520168304443359375e-1), SC_(0.49107707095547017672688328632255114847364396826043e0), |
| SC_(0.188381969928741455078125e0), SC_(0.859039485454559326171875e0), SC_(0.1491139829158782958984375e0), SC_(0.89809346952145047341364443710813312775512398687315e0), |
| SC_(0.188381969928741455078125e0), SC_(0.859572112560272216796875e0), SC_(0.9713177382946014404296875e-1), SC_(0.89742881227836558792767615520993058490648040919703e0), |
| SC_(0.188381969928741455078125e0), SC_(0.993307650089263916015625e0), SC_(0.99406850337982177734375e0), SC_(0.12866346097182797011525547537719695362479512768895e1), |
| SC_(0.188381969928741455078125e0), SC_(0.127976500988006591796875e1), SC_(0.82345783710479736328125e0), SC_(0.16914757898617543913705440681606954379713844698507e1), |
| SC_(0.188381969928741455078125e0), SC_(0.131162846088409423828125e1), SC_(0.821903288364410400390625e0), SC_(0.17526435342761314289792276986725477524729486307092e1), |
| SC_(0.188381969928741455078125e0), SC_(0.142281472682952880859375e1), SC_(0.69482862949371337890625e0), SC_(0.18074516959783082924161058130735089760598245925545e1), |
| SC_(0.188381969928741455078125e0), SC_(0.14347274303436279296875e1), SC_(0.12518276274204254150390625e0), SC_(0.15821089098843317773364875191045306220560055453024e1), |
| SC_(0.188381969928741455078125e0), SC_(0.150404822826385498046875e1), SC_(0.3170994818210601806640625e0), SC_(0.17058814441489491473297807610972946548213895543091e1), |
| SC_(0.188381969928741455078125e0), SC_(0.15156433582305908203125e1), SC_(0.763750016689300537109375e0), SC_(0.20637169193009524132911154276297356959219373460124e1), |
| SC_(0.188381969928741455078125e0), SC_(0.15200517177581787109375e1), SC_(0.950222074985504150390625e0), SC_(0.27609962127380559638098576214993238543182071812583e1), |
| SC_(0.188381969928741455078125e0), SC_(0.1521893978118896484375e1), SC_(0.4905890524387359619140625e0), SC_(0.18032026658448356902584396515553902990867775956652e1), |
| SC_(0.188381969928741455078125e0), SC_(0.155961430072784423828125e1), SC_(0.344460792839527130126953125e-1), SC_(0.17303476959832356294063472935024048455993292586807e1), |
| SC_(0.188381969928741455078125e0), SC_(0.156523787975311279296875e1), SC_(0.663605511188507080078125e0), SC_(0.20113750121583671741913865522845026629311302910205e1), |
| SC_(0.22103404998779296875e0), SC_(0.15321610867977142333984375e0), SC_(0.438744366168975830078125e0), SC_(0.1535961334273079861587554680902180767535933121918e0), |
| SC_(0.22103404998779296875e0), SC_(0.1994704306125640869140625e0), SC_(0.125896632671356201171875e0), SC_(0.20007451067950229557071601603618648918488711197919e0), |
| SC_(0.22103404998779296875e0), SC_(0.2128067910671234130859375e0), SC_(0.3815584480762481689453125e0), SC_(0.21374845606321022784859713852988170011624650844054e0), |
| SC_(0.22103404998779296875e0), SC_(0.295909702777862548828125e0), SC_(0.210209071636199951171875e0), SC_(0.29799713063089460727421513782103336686001971629263e0), |
| SC_(0.22103404998779296875e0), SC_(0.3471994698047637939453125e0), SC_(0.765516817569732666015625e0), SC_(0.35444071148127028925045636140809782748017213282674e0), |
| SC_(0.22103404998779296875e0), SC_(0.4374639987945556640625e0), SC_(0.512164272367954254150390625e-1), SC_(0.44358367380486624727607248832401085063181616261823e0), |
| SC_(0.22103404998779296875e0), SC_(0.4840676784515380859375e0), SC_(0.795199930667877197265625e0), SC_(0.50483832329245369216251822963557623972617072245322e0), |
| SC_(0.22103404998779296875e0), SC_(0.859039485454559326171875e0), SC_(0.3644125163555145263671875e-1), SC_(0.90299571928636336736922979730603695661988483695763e0), |
| SC_(0.22103404998779296875e0), SC_(0.859572112560272216796875e0), SC_(0.18687260150909423828125e0), SC_(0.90697574315316785499358809761253389134040276995581e0), |
| SC_(0.22103404998779296875e0), SC_(0.993307650089263916015625e0), SC_(0.408731162548065185546875e0), SC_(0.10856589748405692386816934071269772056858576647844e1), |
| SC_(0.22103404998779296875e0), SC_(0.127976500988006591796875e1), SC_(0.489764392375946044921875e0), SC_(0.14886223498445177499912691983828381727724836491669e1), |
| SC_(0.22103404998779296875e0), SC_(0.131162846088409423828125e1), SC_(0.457989156246185302734375e0), SC_(0.15220768540074777299689071277697836406097310372819e1), |
| SC_(0.22103404998779296875e0), SC_(0.142281472682952880859375e1), SC_(0.44558620452880859375e0), SC_(0.16744936605233572376252500760257564793127109126491e1), |
| SC_(0.22103404998779296875e0), SC_(0.14347274303436279296875e1), SC_(0.487568914890289306640625e0), SC_(0.17110729628156196981212899770183869772565168863267e1), |
| SC_(0.22103404998779296875e0), SC_(0.150404822826385498046875e1), SC_(0.646313011646270751953125e0), SC_(0.1933092756197274518916224005354708607388503185371e1), |
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| SC_(0.992881298065185546875e0), SC_(0.156523787975311279296875e1), SC_(0.379418849945068359375e0), SC_(0.19155786972659388496036522827203540528048007161044e2), |
| SC_(0.996461331844329833984375e0), SC_(0.15321610867977142333984375e0), SC_(0.929385960102081298828125e0), SC_(0.15494953789788259980228066836666586023123819724425e0), |
| SC_(0.996461331844329833984375e0), SC_(0.1994704306125640869140625e0), SC_(0.4584968984127044677734375e0), SC_(0.20243262749758402603750294407634188860785303898664e0), |
| SC_(0.996461331844329833984375e0), SC_(0.2128067910671234130859375e0), SC_(0.775712668895721435546875e0), SC_(0.21706303863374380621352712917030134681912729698606e0), |
| SC_(0.996461331844329833984375e0), SC_(0.295909702777862548828125e0), SC_(0.303613960742950439453125e0), SC_(0.30524071829572125811103009319660245769811854653147e0), |
| SC_(0.996461331844329833984375e0), SC_(0.3471994698047637939453125e0), SC_(0.4867916405200958251953125e0), SC_(0.36356073608058866564834344897710010972287253451556e0), |
| SC_(0.996461331844329833984375e0), SC_(0.4374639987945556640625e0), SC_(0.910564959049224853515625e0), SC_(0.48104301408957402493870044558559339292659904746407e0), |
| SC_(0.996461331844329833984375e0), SC_(0.4840676784515380859375e0), SC_(0.4358585774898529052734375e0), SC_(0.5296599894432982217860267176354900496432490384687e0), |
| SC_(0.996461331844329833984375e0), SC_(0.859039485454559326171875e0), SC_(0.488617718219757080078125e0), SC_(0.11959816962457412713215082894885440106679306405223e1), |
| SC_(0.996461331844329833984375e0), SC_(0.859572112560272216796875e0), SC_(0.4467837512493133544921875e0), SC_(0.11905815264303277217419460505969483267592093504852e1), |
| SC_(0.996461331844329833984375e0), SC_(0.993307650089263916015625e0), SC_(0.75578987598419189453125e0), SC_(0.17303829899385816376582825125863049753469531971278e1), |
| SC_(0.996461331844329833984375e0), SC_(0.127976500988006591796875e1), SC_(0.3063494861125946044921875e0), SC_(0.33959201984939021366299708945798000348464210899788e1), |
| SC_(0.996461331844329833984375e0), SC_(0.131162846088409423828125e1), SC_(0.108061917126178741455078125e0), SC_(0.37244311575010030859404652598599661337479280352413e1), |
| SC_(0.996461331844329833984375e0), SC_(0.142281472682952880859375e1), SC_(0.5085086822509765625e0), SC_(0.71622395151588347106386969682257760699123684023386e1), |
| SC_(0.996461331844329833984375e0), SC_(0.14347274303436279296875e1), SC_(0.39358985424041748046875e0), SC_(0.73636293852590201326616972102360781065664379097234e1), |
| SC_(0.996461331844329833984375e0), SC_(0.150404822826385498046875e1), SC_(0.510771572589874267578125e0), SC_(0.13953417098210141831895151114277855224069335314941e2), |
| SC_(0.996461331844329833984375e0), SC_(0.15156433582305908203125e1), SC_(0.870186746120452880859375e0), SC_(0.2556857706461314333232853600430574327145004073045e2), |
| SC_(0.996461331844329833984375e0), SC_(0.15200517177581787109375e1), SC_(0.817627727985382080078125e0), SC_(0.23625019083977016071256452688852096136119845707138e2), |
| SC_(0.996461331844329833984375e0), SC_(0.1521893978118896484375e1), SC_(0.36086070537567138671875e0), SC_(0.15792458525021165627427857010031529171479777626611e2), |
| SC_(0.996461331844329833984375e0), SC_(0.155961430072784423828125e1), SC_(0.79483139514923095703125e0), SC_(0.36995201253231850772712106938485439098332159356711e2), |
| SC_(0.996461331844329833984375e0), SC_(0.156523787975311279296875e1), SC_(0.917117893695831298828125e0), SC_(0.57989207945838172546694589268843963845498536168854e2) |
| }; |
| #undef SC_ |
| |
