| // 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, k, PI(n, k) |
| // |
| #define SC_(x) static_cast<T>(BOOST_JOIN(x, L)) |
| static const boost::array<boost::array<T, 3>, 500> ellint_pi2_data = { |
| SC_(-0.871743316650390625e2), SC_(0.12698681652545928955078125e0), SC_(0.1674125184786922275852201144520277497358358213892e0), |
| SC_(-0.871743316650390625e2), SC_(0.135477006435394287109375e0), SC_(0.16743071541243053183466547814319460702264753849723e0), |
| SC_(-0.871743316650390625e2), SC_(0.22103404998779296875e0), SC_(0.16768328087467940131221559947745677007068360020936e0), |
| SC_(-0.871743316650390625e2), SC_(0.308167040348052978515625e0), SC_(0.16807808560619590184466399113136263382376022541855e0), |
| SC_(-0.871743316650390625e2), SC_(0.6323592662811279296875e0), SC_(0.17122026715243530525631538196923732076962513344995e0), |
| SC_(-0.871743316650390625e2), SC_(0.814723670482635498046875e0), SC_(0.17534141630242782956646324755267751416323066482835e0), |
| SC_(-0.871743316650390625e2), SC_(0.835008561611175537109375e0), SC_(0.17605554592184937069060075230541493581360045985831e0), |
| SC_(-0.871743316650390625e2), SC_(0.905791938304901123046875e0), SC_(0.17950085945970126738588840411224305832081644195523e0), |
| SC_(-0.871743316650390625e2), SC_(0.9133758544921875e0), SC_(0.18001354683126288823677625533339788309413921715434e0), |
| SC_(-0.871743316650390625e2), SC_(0.968867778778076171875e0), SC_(0.1861623643134889055406196973715380337805086459718e0), |
| SC_(-0.8631682586669921875e2), SC_(0.12698681652545928955078125e0), SC_(0.16823313926270090905448439997177323604952165614363e0), |
| SC_(-0.8631682586669921875e2), SC_(0.135477006435394287109375e0), SC_(0.16825150634432729564119302859989272874459890613116e0), |
| SC_(-0.8631682586669921875e2), SC_(0.22103404998779296875e0), SC_(0.1685064347403877889119812191305941553416022238658e0), |
| SC_(-0.8631682586669921875e2), SC_(0.308167040348052978515625e0), SC_(0.16890493817434378352408134048753732273764880942954e0), |
| SC_(-0.8631682586669921875e2), SC_(0.6323592662811279296875e0), SC_(0.17207676229429286979803490409285729827120332255809e0), |
| SC_(-0.8631682586669921875e2), SC_(0.814723670482635498046875e0), SC_(0.17623726816880267488571098227884869828610508117243e0), |
| SC_(-0.8631682586669921875e2), SC_(0.835008561611175537109375e0), SC_(0.17695826377184426719315773208991477000910029521482e0), |
| SC_(-0.8631682586669921875e2), SC_(0.905791938304901123046875e0), SC_(0.18043685472666137350386874269852689421871499307432e0), |
| SC_(-0.8631682586669921875e2), SC_(0.9133758544921875e0), SC_(0.18095451269215495642582809340040493458719660291695e0), |
| SC_(-0.8631682586669921875e2), SC_(0.968867778778076171875e0), SC_(0.18716320978769236210159810482536135896363176742343e0), |
| SC_(-0.7767555999755859375e2), SC_(0.12698681652545928955078125e0), SC_(0.17723805469497005138970658754479684034139004976308e0), |
| SC_(-0.7767555999755859375e2), SC_(0.135477006435394287109375e0), SC_(0.17725833547565335175365419889134424107345532565877e0), |
| SC_(-0.7767555999755859375e2), SC_(0.22103404998779296875e0), SC_(0.17753984165266644170812805305717146395671420094776e0), |
| SC_(-0.7767555999755859375e2), SC_(0.308167040348052978515625e0), SC_(0.17797995186642175489596380169052339842058010566152e0), |
| SC_(-0.7767555999755859375e2), SC_(0.6323592662811279296875e0), SC_(0.18148541433576540744902539513186881476311716728227e0), |
| SC_(-0.7767555999755859375e2), SC_(0.814723670482635498046875e0), SC_(0.18608934162792226467645945802477829030064897877359e0), |
| SC_(-0.7767555999755859375e2), SC_(0.835008561611175537109375e0), SC_(0.18688773786015825638183632881144496436170974248241e0), |
| SC_(-0.7767555999755859375e2), SC_(0.905791938304901123046875e0), SC_(0.19074161304026152406747562924366026789550786287803e0), |
| SC_(-0.7767555999755859375e2), SC_(0.9133758544921875e0), SC_(0.19131534459003262670423020772987735547496828534479e0), |
| SC_(-0.7767555999755859375e2), SC_(0.968867778778076171875e0), SC_(0.19819980751100172478383698040644955494927942439633e0), |
| SC_(-0.6887512969970703125e2), SC_(0.12698681652545928955078125e0), SC_(0.18807673277332863572439323149240003591140207896313e0), |
| SC_(-0.6887512969970703125e2), SC_(0.135477006435394287109375e0), SC_(0.18809942894445066895052818190744724738603008664113e0), |
| SC_(-0.6887512969970703125e2), SC_(0.22103404998779296875e0), SC_(0.18841448356519705070217464671784444233160761372693e0), |
| SC_(-0.6887512969970703125e2), SC_(0.308167040348052978515625e0), SC_(0.1889071243831848858362782229683818449975108831782e0), |
| SC_(-0.6887512969970703125e2), SC_(0.6323592662811279296875e0), SC_(0.19283429586558276570559152326779096606423284809356e0), |
| SC_(-0.6887512969970703125e2), SC_(0.814723670482635498046875e0), SC_(0.19799982175435638480350130578229601669520072124985e0), |
| SC_(-0.6887512969970703125e2), SC_(0.835008561611175537109375e0), SC_(0.19889635678180396557867565231805298960791065374116e0), |
| SC_(-0.6887512969970703125e2), SC_(0.905791938304901123046875e0), SC_(0.20322643729961523231468602423697484017124986208135e0), |
| SC_(-0.6887512969970703125e2), SC_(0.9133758544921875e0), SC_(0.20387136735607637387480442251720783691354881786227e0), |
| SC_(-0.6887512969970703125e2), SC_(0.968867778778076171875e0), SC_(0.21161453485391920919877033907030403099202567227684e0), |
| SC_(-0.361317138671875e2), SC_(0.12698681652545928955078125e0), SC_(0.25807395141922622129192766140410293065730739479983e0), |
| SC_(-0.361317138671875e2), SC_(0.135477006435394287109375e0), SC_(0.25811504785027394933935002408996823143204300773286e0), |
| SC_(-0.361317138671875e2), SC_(0.22103404998779296875e0), SC_(0.25868576719992802882962788582860568063380617782066e0), |
| SC_(-0.361317138671875e2), SC_(0.308167040348052978515625e0), SC_(0.25957908488371220675239650970681566250728634199314e0), |
| SC_(-0.361317138671875e2), SC_(0.6323592662811279296875e0), SC_(0.26673759528219383447347331664283586398767715711549e0), |
| SC_(-0.361317138671875e2), SC_(0.814723670482635498046875e0), SC_(0.27624188294753047128196814230568161804652916161863e0), |
| SC_(-0.361317138671875e2), SC_(0.835008561611175537109375e0), SC_(0.27790012081814387436020029758750215255750597263172e0), |
| SC_(-0.361317138671875e2), SC_(0.905791938304901123046875e0), SC_(0.2859382172923565009441543467819242355142627417165e0), |
| SC_(-0.361317138671875e2), SC_(0.9133758544921875e0), SC_(0.28713902465022766561269528868552426093781301498377e0), |
| SC_(-0.361317138671875e2), SC_(0.968867778778076171875e0), SC_(0.30160824142871788586221637018441354445836038223767e0), |
| SC_(-0.17712909698486328125e2), SC_(0.12698681652545928955078125e0), SC_(0.3636729206179323089584368881165294845044180186145e0), |
| SC_(-0.17712909698486328125e2), SC_(0.135477006435394287109375e0), SC_(0.36375007260253424844068666864895304741725434790239e0), |
| SC_(-0.17712909698486328125e2), SC_(0.22103404998779296875e0), SC_(0.36482213460485031933513677664348491484058391598753e0), |
| SC_(-0.17712909698486328125e2), SC_(0.308167040348052978515625e0), SC_(0.3665025099771102643902474028243205860953862778759e0), |
| SC_(-0.17712909698486328125e2), SC_(0.6323592662811279296875e0), SC_(0.38006573775283109160868693734996149636084699279112e0), |
| SC_(-0.17712909698486328125e2), SC_(0.814723670482635498046875e0), SC_(0.39831093780271045079340378355274398784600363650505e0), |
| SC_(-0.17712909698486328125e2), SC_(0.835008561611175537109375e0), SC_(0.40151794120384245966685931317645917709530730447343e0), |
| SC_(-0.17712909698486328125e2), SC_(0.905791938304901123046875e0), SC_(0.41714508520694688780251187692727469785205563133695e0), |
| SC_(-0.17712909698486328125e2), SC_(0.9133758544921875e0), SC_(0.41948979991844566329448196311636376356543866861521e0), |
| SC_(-0.17712909698486328125e2), SC_(0.968867778778076171875e0), SC_(0.44789348577906501674071047048613668162470396490226e0), |
| SC_(-0.15664134979248046875e2), SC_(0.12698681652545928955078125e0), SC_(0.38540911235754062027100516500243302844112919081157e0), |
| SC_(-0.15664134979248046875e2), SC_(0.135477006435394287109375e0), SC_(0.38549479957369784596836782557901855735579578476386e0), |
| SC_(-0.15664134979248046875e2), SC_(0.22103404998779296875e0), SC_(0.38668559678037966531615532383662693169751820619251e0), |
| SC_(-0.15664134979248046875e2), SC_(0.308167040348052978515625e0), SC_(0.38855258005908474248043155982604199055563647089976e0), |
| SC_(-0.15664134979248046875e2), SC_(0.6323592662811279296875e0), SC_(0.4036431452565898907217581801534326597925982641061e0), |
| SC_(-0.15664134979248046875e2), SC_(0.814723670482635498046875e0), SC_(0.42399489399858261609254890113247088932413060034193e0), |
| SC_(-0.15664134979248046875e2), SC_(0.835008561611175537109375e0), SC_(0.42757740157245514965345992590002825014839199992751e0), |
| SC_(-0.15664134979248046875e2), SC_(0.905791938304901123046875e0), SC_(0.44505252332215040025742915418095282301447922985417e0), |
| SC_(-0.15664134979248046875e2), SC_(0.9133758544921875e0), SC_(0.44767679456118756417042666801411008888573438377822e0), |
| SC_(-0.15664134979248046875e2), SC_(0.968867778778076171875e0), SC_(0.47950133312940792812445326014374908427710586619841e0), |
| SC_(-0.85150146484375e1), SC_(0.12698681652545928955078125e0), SC_(0.51024420337071918152663377907810133020609909421411e0), |
| SC_(-0.85150146484375e1), SC_(0.135477006435394287109375e0), SC_(0.51038538213980156116084936888558434244159146142024e0), |
| SC_(-0.85150146484375e1), SC_(0.22103404998779296875e0), SC_(0.51234852907158154983060025475260748897671531226719e0), |
| SC_(-0.85150146484375e1), SC_(0.308167040348052978515625e0), SC_(0.51543084244645024279702031896115309018656014885961e0), |
| SC_(-0.85150146484375e1), SC_(0.6323592662811279296875e0), SC_(0.54053307124193505250530229329510213640826062354041e0), |
| SC_(-0.85150146484375e1), SC_(0.814723670482635498046875e0), SC_(0.57485945052545126554066528283220704394725671520491e0), |
| SC_(-0.85150146484375e1), SC_(0.835008561611175537109375e0), SC_(0.58095036613926759413831871317625984920620978697546e0), |
| SC_(-0.85150146484375e1), SC_(0.905791938304901123046875e0), SC_(0.6108332503553336432615891037745891649411427341433e0), |
| SC_(-0.85150146484375e1), SC_(0.9133758544921875e0), SC_(0.61534259474950438497700068371964480496721253218291e0), |
| SC_(-0.85150146484375e1), SC_(0.968867778778076171875e0), SC_(0.67036117324955476789547801395426121216314167238235e0), |
| SC_(-0.77490386962890625e1), SC_(0.12698681652545928955078125e0), SC_(0.53214537749930974923530793848098446673924558763616e0), |
| SC_(-0.77490386962890625e1), SC_(0.135477006435394287109375e0), SC_(0.53229733769976224201856173461401623455938844211535e0), |
| SC_(-0.77490386962890625e1), SC_(0.22103404998779296875e0), SC_(0.53441061264437586894262479620958694286810111069806e0), |
| SC_(-0.77490386962890625e1), SC_(0.308167040348052978515625e0), SC_(0.5377294161924223676286300166620738439919478705884e0), |
| SC_(-0.77490386962890625e1), SC_(0.6323592662811279296875e0), SC_(0.56479107742731414101881346070741395143895861655694e0), |
| SC_(-0.77490386962890625e1), SC_(0.814723670482635498046875e0), SC_(0.601881967717377378801568953100251074711843156646e0), |
| SC_(-0.77490386962890625e1), SC_(0.835008561611175537109375e0), SC_(0.6084722098461551401225157616926834919686419666249e0), |
| SC_(-0.77490386962890625e1), SC_(0.905791938304901123046875e0), SC_(0.6408364334233277447605831932496202047571760069003e0), |
| SC_(-0.77490386962890625e1), SC_(0.9133758544921875e0), SC_(0.6457242303367545109978589926395419470832321596317e0), |
| SC_(-0.77490386962890625e1), SC_(0.968867778778076171875e0), SC_(0.70542281927214050120129262462084303700899187217965e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.12698681652545928955078125e0), SC_(0.8884345345550095441084403163369684177500561715756e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.135477006435394287109375e0), SC_(0.8887968025591633966992484831363379920765936172689e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.22103404998779296875e0), SC_(0.89384161922839613483917173517149866654437346469257e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.308167040348052978515625e0), SC_(0.90178990573641241465368857232390076077058848312029e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.6323592662811279296875e0), SC_(0.96773060709736540924264715674562047296122735253741e0), |
| SC_(-0.2144354343414306640625e1), SC_(0.814723670482635498046875e0), SC_(0.10611068880605475995293214915625250910296775013033e1), |
| SC_(-0.2144354343414306640625e1), SC_(0.835008561611175537109375e0), SC_(0.10780213170897016729377668066373680364223012950482e1), |
| SC_(-0.2144354343414306640625e1), SC_(0.905791938304901123046875e0), SC_(0.11623009444183199820310279726943206804138051586191e1), |
| SC_(-0.2144354343414306640625e1), SC_(0.9133758544921875e0), SC_(0.1175187305462279478043232980591313771690049845558e1), |
| SC_(-0.2144354343414306640625e1), SC_(0.968867778778076171875e0), SC_(0.13351521542704530399309520432473912325010294185526e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.97540400922298431396484375e-1), SC_(0.16575625537539334492135469554161301069952233501127e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.12698681652545928955078125e0), SC_(0.16604070522066793218689200133443291186241997132459e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.135477006435394287109375e0), SC_(0.16613706575726806739443199730186852538567183836454e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.188381969928741455078125e0), SC_(0.16688635821372355395722986731779999976891844033276e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.22103404998779296875e0), SC_(0.16748152996721641722488207500769930971424945210048e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.278498232364654541015625e0), SC_(0.16879215145724407449379423186230158674479606429932e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.308167040348052978515625e0), SC_(0.1696095260039130373699296075781152727841065441201e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.546881496906280517578125e0), SC_(0.18076786679621317362691990942335058424411444922867e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.54722058773040771484375e0), SC_(0.18079134451426267469684927957112878148158019786046e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.6323592662811279296875e0), SC_(0.18771472642488059146880340777640910527661803171727e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.814723670482635498046875e0), SC_(0.21465590874631142389243971571908703626422382902216e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.835008561611175537109375e0), SC_(0.2196877276017096924893565785411603522535388560468e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.905791938304901123046875e0), SC_(0.24538194571328338426625153260376589509956095921724e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.9133758544921875e0), SC_(0.24939528667597863131268459408612241086050185482663e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.957506835460662841796875e0), SC_(0.28473945726623744384547972404197314438342254491406e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.964888513088226318359375e0), SC_(0.29452299884896515169797221101771945213762664439833e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.967694938182830810546875e0), SC_(0.29882738319780340222842473815959127498505628778533e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.968867778778076171875e0), SC_(0.30074420759294457808064044871395510915970675750267e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.992881298065185546875e0), SC_(0.37936720689726111042340848424079527101282549905212e1), |
| SC_(0.97540400922298431396484375e-1), SC_(0.996461331844329833984375e0), SC_(0.41748893503811021098590196808435433394940293727937e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.97540400922298431396484375e-1), SC_(0.1685318587788206678609582703151072137667430882881e1), |
| SC_(0.12698681652545928955078125e0), SC_(0.12698681652545928955078125e0), SC_(0.1688234141309562807863225412410437395324346243701e1), |
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| SC_(0.996461331844329833984375e0), SC_(0.188381969928741455078125e0), SC_(0.26859854936512317034208182700195391532482709459344e2), |
| SC_(0.996461331844329833984375e0), SC_(0.22103404998779296875e0), SC_(0.27037248327624528229706950425004550527856127233531e2), |
| SC_(0.996461331844329833984375e0), SC_(0.278498232364654541015625e0), SC_(0.27430729276514554098633382905293142866236072404168e2), |
| SC_(0.996461331844329833984375e0), SC_(0.308167040348052978515625e0), SC_(0.27678118753104768841544241662525580388107866876282e2), |
| SC_(0.996461331844329833984375e0), SC_(0.546881496906280517578125e0), SC_(0.31213240738021743521644147864390542809845218224843e2), |
| SC_(0.996461331844329833984375e0), SC_(0.54722058773040771484375e0), SC_(0.31220997617474390630713051844594666758716918064286e2), |
| SC_(0.996461331844329833984375e0), SC_(0.6323592662811279296875e0), SC_(0.33569286497756543464285670293321380122426984476525e2), |
| SC_(0.996461331844329833984375e0), SC_(0.814723670482635498046875e0), SC_(0.4395386723690573604089341802484590769216982250272e2), |
| SC_(0.996461331844329833984375e0), SC_(0.835008561611175537109375e0), SC_(0.46132844280074174499202090082014892744405520616437e2), |
| SC_(0.996461331844329833984375e0), SC_(0.905791938304901123046875e0), SC_(0.58587652855298148334031858334558601606458070313074e2), |
| SC_(0.996461331844329833984375e0), SC_(0.9133758544921875e0), SC_(0.60748367915375862531255830821598900720628098154312e2), |
| SC_(0.996461331844329833984375e0), SC_(0.957506835460662841796875e0), SC_(0.82625470558383026944908893678685038814065230848324e2), |
| SC_(0.996461331844329833984375e0), SC_(0.964888513088226318359375e0), SC_(0.89667844444233284890246553088819296424506047104969e2), |
| SC_(0.996461331844329833984375e0), SC_(0.967694938182830810546875e0), SC_(0.92913130201351090779050947500643074594936139585892e2), |
| SC_(0.996461331844329833984375e0), SC_(0.968867778778076171875e0), SC_(0.94387923495063103062113556546657899915314134335375e2), |
| SC_(0.996461331844329833984375e0), SC_(0.992881298065185546875e0), SC_(0.17241273531195384234344983626787913729253040033677e3), |
| SC_(0.996461331844329833984375e0), SC_(0.996461331844329833984375e0), SC_(0.22388123241793230536309311882526020237726710081432e3) |
| }; |
| #undef SC_ |
| |
