legendre_p.ipp

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//  (C) Copyright John Maddock 2006-7.
//  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)

#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
   static const boost::array<boost::array<T, 4>, 140> legendre_p = {
      SC_(3), SC_(-0.804919183254241943359375), SC_(-0.09637879251279735399302410605920296560178428535437), SC_(-0.84585603807674271376114723023136351467791030262194), 
      SC_(3), SC_(-0.74602639675140380859375), SC_(0.081027074619746344180737168075984167003866787126753), SC_(-0.80282652754865351221792807765781454966620965987346), 
      SC_(3), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886), SC_(-0.77778604740049228448138273219369426999256253154477), 
      SC_(3), SC_(-0.62323606014251708984375), SC_(0.32965574890576083785628027375894100181596968468511), SC_(-0.54513199810739721932916528089324249381856320981233), 
      SC_(3), SC_(-0.5579319000244140625), SC_(0.40270407973501426077134190961714921286329627037048), SC_(-0.36518655840013507868281802164420656404202160032323), 
      SC_(3), SC_(-0.44300353527069091796875), SC_(0.44715433191447753543307951822408097264371917844983), SC_(-0.036791936427532285617966259083782977179826877960429), 
      SC_(3), SC_(-0.38366591930389404296875), SC_(0.43431026413595020613207998332397363761003816762241), SC_(0.12305391050245773781086426664843252339855233834581), 
      SC_(3), SC_(0.09376299381256103515625), SC_(-0.13858369755095318860018104847528497280961801152444), SC_(0.63165561565784611978985918320060987131739507929363), 
      SC_(3), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978), SC_(0.63114960637026901412475946814198954544987429570206), 
      SC_(3), SC_(0.264718532562255859375), SC_(-0.35070182432271000038054645231433426033618161454797), SC_(0.39637508312826953308089998658220280933868101174524), 
      SC_(3), SC_(0.62944734096527099609375), SC_(-0.32069719648529449984920462269136209876307930244366), SC_(-0.561319593950734471650860089348537659182887471015), 
      SC_(3), SC_(0.67001712322235107421875), SC_(-0.25306053375130974366335052634993663112084050226258), SC_(-0.66081564793406011705012545543655510789740391137235), 
      SC_(3), SC_(0.81158387660980224609375), SC_(0.11903579598709513016345544955329471825677956076106), SC_(-0.84529721625683760880474150426292608647145977571808), 
      SC_(3), SC_(0.826751708984375), SC_(0.1726224256643575927228084765374660491943359375), SC_(-0.83881729781391507585288129748948101183986537673708), 
      SC_(3), SC_(0.91501367092132568359375), SC_(0.54271752467888026988712457448701953488523486157646), SC_(-0.58117864722536578272928121147096403274716994164107), 
      SC_(3), SC_(0.92977702617645263671875), SC_(0.61478093203605979210896718576903619002393952541752), SC_(-0.47601316933958185359002896997987802108555441085956), 
      SC_(3), SC_(0.93538987636566162109375), SC_(0.6429734865180513243156944550547871042311953715398), SC_(-0.42776266738524467923677588882284251961316602328383), 
      SC_(3), SC_(0.93773555755615234375), SC_(0.65488632484399120345028300071987814590102061629295), SC_(-0.40599139678289761995855284290619999445381396586062), 
      SC_(3), SC_(0.98576259613037109375), SC_(0.91608863936432686136610015203984858089825138449669), SC_(0.49911743300628611193386173368321463301956284745397), 
      SC_(3), SC_(0.99292266368865966796875), SC_(0.95791076106518834501582130387317692843396343960194), SC_(0.90345674705561627727354266945334737890516023119515), 
      SC_(5), SC_(-0.804919183254241943359375), SC_(0.39312973382980111956333250391790337182567613112521), SC_(-0.30797722800923861903533473474484308050729533072248), 
      SC_(5), SC_(-0.74602639675140380859375), SC_(0.4144532363564166856565791456062465926118819061177), SC_(0.036750999302184486102911681342167235245694654813727), 
      SC_(5), SC_(-0.72904598712921142578125), SC_(0.40170549167165668611417028849058086074027575851596), SC_(0.12520396031165822675600338672833850727710544023424), 
      SC_(5), SC_(-0.62323606014251708984375), SC_(0.20914641668663499200234579439954172182527145448352), SC_(0.50490192751447088632949650396821036768725468002192), 
      SC_(5), SC_(-0.5579319000244140625), SC_(0.047804048918209109846499488120279081448233535491368), SC_(0.58010824986594190037517814500067698165903587991196), 
      SC_(5), SC_(-0.44300353527069091796875), SC_(-0.20426834340719068505951661242682923196540890996203), SC_(0.46263002281764960331577712774593562735119375851165), 
      SC_(5), SC_(-0.38366591930389404296875), SC_(-0.29067957811088193540744987867754401309946084909752), SC_(0.31516732667905959819121026003137539434799697742685), 
      SC_(5), SC_(0.09376299381256103515625), SC_(0.16864990731338440263027533820227754755159887863031), SC_(-0.46423435769108284256474941359029876833900529649787), 
      SC_(5), SC_(0.0944411754608154296875), SC_(0.1697659485252767697264924108060913297868060247664), SC_(-0.46324927263674125093814131181689301223878566421762), 
      SC_(5), SC_(0.264718532562255859375), SC_(0.34426832813003273714672924371824224133559143244821), SC_(-0.049432441822728069543372084272506540578906568566679), 
      SC_(5), SC_(0.62944734096527099609375), SC_(-0.22382279528405448977447983371074041669623686569369), SC_(0.49147664711760436466007581944059038967809611892101), 
      SC_(5), SC_(0.67001712322235107421875), SC_(-0.31223652976417549895070288708720094161868379195206), SC_(0.37610337461310797969209584800253042022904925554525), 
      SC_(5), SC_(0.81158387660980224609375), SC_(-0.38292680966875416452976755202641274083447045975907), SC_(-0.34885118284757894374218709400505373551960888245662), 
      SC_(5), SC_(0.826751708984375), SC_(-0.35269763131671469331857533366092200943081591546502), SC_(-0.44136440965471238150156372311112451085353528866709), 
      SC_(5), SC_(0.91501367092132568359375), SC_(0.063446713438062204473932078136911612759332109107889), SC_(-0.82663633769127728796241230589411701186971587004582), 
      SC_(5), SC_(0.92977702617645263671875), SC_(0.18225073809630641977015280395310276646936069311641), SC_(-0.82168035297079603201814519993667772968868461426771), 
      SC_(5), SC_(0.93538987636566162109375), SC_(0.23180510604150429189260138185795569842018206442858), SC_(-0.80887163427971286589959630152315983255456115675709), 
      SC_(5), SC_(0.93773555755615234375), SC_(0.25325565314935514475658826960850521331006389130604), SC_(-0.80136139259062971113064196979296442577453518790514), 
      SC_(5), SC_(0.98576259613037109375), SC_(0.79688047965898906667942422168075865228912496237335), SC_(-0.050056541330186097160719119175881895101011997635397), 
      SC_(5), SC_(0.99292266368865966796875), SC_(0.89644489554848727542361918961404754824639399670787), SC_(0.37903738567797794270627705612855765856516256104433), 
      SC_(6), SC_(-0.804919183254241943359375), SC_(-0.39836758461472829348998598547346973134856336403357), SC_(-0.11186770789341157073263552304164952167231422725269), 
      SC_(6), SC_(-0.74602639675140380859375), SC_(-0.26942943612721316815918357350921061418816560550185), SC_(-0.42602747957292468844799426387152791743497741383254), 
      SC_(6), SC_(-0.72904598712921142578125), SC_(-0.21840146170346573698680050916460454542235139698046), SC_(-0.48296923649820365053381714059193346150823509339657), 
      SC_(6), SC_(-0.62323606014251708984375), SC_(0.11229562713036701432807908627179645376710821780817), SC_(-0.52579618536742217260788491630929608589881417853436), 
      SC_(6), SC_(-0.5579319000244140625), SC_(0.25809538238812630583446736370855025636974655379774), SC_(-0.35443454005327430793711175663169328286248363280561), 
      SC_(6), SC_(-0.44300353527069091796875), SC_(0.32627027269443981686050692334106934126675080884247), SC_(0.076978364356597061911602221500765420329999192593694), 
      SC_(6), SC_(-0.38366591930389404296875), SC_(0.27296210523874472670236080623125046782530388804834), SC_(0.27741174731966691723650037805968774957839220262642), 
      SC_(6), SC_(0.09376299381256103515625), SC_(-0.25631763331851885315854599502995062449465614809422), SC_(-0.28268746516151787527692774690914081177303614109476), 
      SC_(6), SC_(0.0944411754608154296875), SC_(-0.25552408862019782534903797380377055156453603599383), SC_(-0.28448177559590539095516583083575884593430785034601), 
      SC_(6), SC_(0.264718532562255859375), SC_(0.055663225234594337836693345273561919051283660765644), SC_(-0.49211101331909515135704356361137060677480116821877), 
      SC_(6), SC_(0.62944734096527099609375), SC_(0.095034738211053556569114686960941777812118998024525), SC_(0.53595663488501203764878594691541436002403012434814), 
      SC_(6), SC_(0.67001712322235107421875), SC_(-0.027907528859134634498084497388775217092645960712684), SC_(0.56739928086411463246848716706273921826782270933536), 
      SC_(6), SC_(0.81158387660980224609375), SC_(-0.40564261599347283927948120545903068249295719183982), SC_(0.065698612969198511696728446106187822049301308842024), 
      SC_(6), SC_(0.826751708984375), SC_(-0.41441668785915980661759850483046331378288487166901), SC_(-0.046051089316127435599875211778830659378778305951565), 
      SC_(6), SC_(0.91501367092132568359375), SC_(-0.14534417319305000517260528484257988550512306946976), SC_(-0.73321199968869349837797508987098833755655170036581), 
      SC_(6), SC_(0.92977702617645263671875), SC_(-0.02497873763140766287065827948618680160671583843944), SC_(-0.80187400193518611909857727430796462753119035734657), 
      SC_(6), SC_(0.93538987636566162109375), SC_(0.028201141383986142054022312024873160606967286580461), SC_(-0.81740119198478364508466660088619509288367234232148), 
      SC_(6), SC_(0.93773555755615234375), SC_(0.051703886374808225952970501830818053254301264204132), SC_(-0.82169997971024778036115328485043201232954643879117), 
      SC_(6), SC_(0.98576259613037109375), SC_(0.72170038823497209265542323838206061870527088205587), SC_(-0.25448294588059600387767244854330786413565245709897), 
      SC_(6), SC_(0.99292266368865966796875), SC_(0.85656129838850274253099953133227725425228299308345), SC_(0.17625410031563921455149796282056956604031098075843), 
      SC_(13), SC_(-0.804919183254241943359375), SC_(-0.021346989675489582899777513316783512919027984178499), SC_(-0.44112202059370695044753367609499513618897172902607), 
      SC_(13), SC_(-0.74602639675140380859375), SC_(0.24666838562906154791363844279971485004009388494544), SC_(-0.1559921230869429475133589681910169153699159544855), 
      SC_(13), SC_(-0.72904598712921142578125), SC_(0.26205171362935296430727406212496048008100313584788), SC_(-0.017605179298092333976782550762974395271667547123874), 
      SC_(13), SC_(-0.62323606014251708984375), SC_(-0.080372069801645230864998901272264760659582933477599), SC_(0.36425485923732018458592174575151844471405378913141), 
      SC_(13), SC_(-0.5579319000244140625), SC_(-0.23583528015736737224719659667717786026703268284614), SC_(0.053245393722305081751995109192359134354871591534969), 
      SC_(13), SC_(-0.44300353527069091796875), SC_(0.018972604977717555259851272576261414873385597702604), SC_(-0.35886939657929715282594368713239077257966834584912), 
      SC_(13), SC_(-0.38366591930389404296875), SC_(0.18550250811451569348004068552647395938057310465493), SC_(-0.20246148054258569990560069049122417793152050446365), 
      SC_(13), SC_(0.09376299381256103515625), SC_(0.20769838303968474575312727060982309147206670120161), SC_(-0.10173158142023370803559517312227984933062321078173), 
      SC_(13), SC_(0.0944411754608154296875), SC_(0.20829227701017635616317556146048162430074934166827), SC_(-0.098728123460385300129782227650749493941872811511327),