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

415 lines
226 KiB
C++

// Copyright John Maddock 2012.
// 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<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 5>, 400> jacobi_elliptic = {{
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7384321813508780300050309993112921610348339609531096226291156957843807163438391463300771570266454611e-02), SC_(9.9524685071841496279438927849850673342525676921414792528840427410727111940782381944976305408868157855e-01), SC_(9.9995488439733316729114394585903874689886199946693440341361736436672692239264636048488084336908171547e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7383306026428126815811673852101862643417212675894886262329096942831342806175591481538515201116435095e-02), SC_(9.9524695011206291426731901545274769005867525867705503210833924341584688692109569818882782443312019870e-01), SC_(9.9992353321916073154296514614318371763529995049379965142148455053362169878708374701587696243287582131e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7382963663268679354766311462039914384149178492941126840831062817834448292082576674044335924290112792e-02), SC_(9.9524698361168545268757042933526662768772514619668023376490370653166168736869277815425438301697322693e-01), SC_(9.9991296657753407444565165371686075323189094367991128619066744668429579140503359966446931860569605749e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7380331287488173017819681812505333548000401340832607031998520409371778408842832201970632399407455377e-02), SC_(9.9524724118097360944629737689090579536626111956092105184429209919209960381948277540779135011872980164e-01), SC_(9.9983172185713251267253025953154802657840786163407200767760200375372426265381549093953869220602182213e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7378277454797060918439287025630752988524259325176347053163180340804501139998370882347991305783292950e-02), SC_(9.9524744213684697238369251137951559191374873239697065458847170083807556278595809556474002748294261664e-01), SC_(9.9976833370589598055738289274893465677056797771478451409770833086130339040015264801585644093126658918e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7373867428466078827183319249605829662038878958674322241785141561706308176062148140500575389736858636e-02), SC_(9.9524787361843859046684503694959443606213073331077397309037690642929126741546581484860725317608308903e-01), SC_(9.9963222736499384529570421859460465646281312249068720158613197297025393833765853405888603462853042983e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7371193424879810007588652514672604171038551577576512840133215162813719206019907024377008226545048940e-02), SC_(9.9524813523614031580155154272347701177066765446592058958809789667054121097494545539509044453284397477e-01), SC_(9.9954970099303609847458849068667534444745484953685258900209171332658289031259888119908884757012452532e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7339839179579928018704143000418077269746964304983646252493319558842047662986337736134976401214155303e-02), SC_(9.9525120231451793830985245843366966203733236112111860397852232906222180662225991758767056042339001978e-01), SC_(9.9858209994199781278941437194680143132324188699653873991712233555081338659514668305299268048007246328e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(5.4722046852111816406250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7339782204735098983141505623993711911459001259399602837752570540694687172295574882766475269842999767e-02), SC_(9.9525120788690065078512180252804658575870883738949865086421010712034580246577640951605540994760241665e-01), SC_(9.9858034179693371185530389839478102909306909444244139828444148460849700760700112751223062617432481898e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7324357382337915060878514538001614103127959113855749132567239992517451675127438717163091023277436887e-02), SC_(9.9525271637916917939363212827434662588809382803755724970123962674618546815060076204600270615937503766e-01), SC_(9.9810437384215507531192865121492102169160078954931664380383811419406897938852089977538372535612829971e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7283832207787332968350504435429144214762136106042661009244142576287985290132328716551768340406726525e-02), SC_(9.9525667844580027212519964525662529454780451004601160492220566958669619783126116364988358493401101876e-01), SC_(9.9685402331179302384119860067365790061187418556554456085008029417476701630546266620873973439295183575e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7278693925629101473730435341228310212032309563196883073408404976412708107672325578164629264874000079e-02), SC_(9.9525718068654182996379555937806239819599280949500315783758413223431440712177599882842080674201603958e-01), SC_(9.9669550352317052980773857626559666269204531893591114427801701253901312521428606453243059354958930545e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7259775696151969231560088118671897900432100312079923769575924893086166745621797945635252162042457459e-02), SC_(9.9525902961567457799459980362930626346578307070578660454715450064990786754293178291486280639555469960e-01), SC_(9.9611189149631570780194584866472514410147478802889450853381129958809506344781648993683324004393139400e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7257657583072734398564817378715512213597927085867646425816327114748354915967246517590740628001648382e-02), SC_(9.9525923660192864077140433651715283184822491030430309366345862602952814976707227038950564349076111474e-01), SC_(9.9604655229407085613020817827545499990274574505860169796764685614255261186781008745763895029260399934e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7244982770042818904024531685011575954627230233210286803989361976045451794730571449048456332621323951e-02), SC_(9.9526047511495907655064681291117857597207801050777388462844588407020878200858505148516677103386126487e-01), SC_(9.9565557382340077224630623621638890196227919522504229996558938083078176693734660018540050675794907254e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7242804401238330394641034407571773598415791334970660265829118621816630813903078372035638501402854060e-02), SC_(9.9526068795676969770830147652098548970870591187020705631353682973051952503866517509360167878496802699e-01), SC_(9.9558838001891729294499891780505516968777413390971340214047171239353816575095609120301571391073133445e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7241971830040626580775446834986136249520903646682302901559733248423563672355475550286992004247011330e-02), SC_(9.9526076930350549471991585281853568963609976679114746406156151825336912211360294679020458186631077546e-01), SC_(9.9556269875012748079193459899059614648026964684907523159920139031085488131527377860967239854162520648e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7241623119621507768675533305231494633519052635102622629454283243024320020666848207623354683904466225e-02), SC_(9.9526080337420175720684817572609318291152213025067248310909549916814881246189911074085103017210067969e-01), SC_(9.9555194254819173899689090341202623861942977239356687223773368135903981199872362824922639858352857970e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7234391800827738968992450665433357666742411135127401009733638701177282347102378993477236969678654384e-02), SC_(9.9526150988125885796360273996610273175186092020643789825948701988318876024022145047763437281682892141e-01), SC_(9.9532889129818059354033929751614120883992975273268479379992266644335702830351636902588795874617070406e-01) }},
{{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7233298644478973403186335285900151115960047949746687839215967221911192031090096952634390287961810058e-02), SC_(9.9526161667910893238555566309439694986630762455664353906763841267218133910312675011879044026031301748e-01), SC_(9.9529517329166101513341571318056995313554164948688445541889776316051021077409476762097381272562596493e-01) }},
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{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2664034438368367615558599657163363971530646734795711968270194977547712684218447066591858350732790914e-01), SC_(9.9194869987030175974065452521412422683585122017884833703172127477318391160839598306916141357487061604e-01), SC_(9.9987068186822403724749028083081518011247091434035237209533262760757214065053721683798188881413986251e-01) }},
{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2663959243421258905813608345822828017922530244400625498512136982817465216522876223180316746892978949e-01), SC_(9.9194879587007742159475715284033058520863291944391982961636532662432995118718631907184665515795900253e-01), SC_(9.9985281208317985060971531909892334434677570476838685775408615707510438112357380797799157313711172762e-01) }},
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{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2661961429460418896967396810246571405727207422895958972385864065275488877136482238636675755124590557e-01), SC_(9.9195134622414100866733580145832318164333662539872220791472939170731476462823729405537088602256531729e-01), SC_(9.9937805532816590734549896953199729957319400587793257255984019593010016180390682729079027380693079026e-01) }},
{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2661374149642430498275814078314106907940053959163726876931088942592173877800165066908556638658111681e-01), SC_(9.9195209585154697731347941628428426390274881177960013587295374143129739974658168687491437531765414110e-01), SC_(9.9923850109148547626583577239570508951580732513750278611967550553394336805805481340265773352381893379e-01) }},
{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2654488424423158028146538144364661933525780622463738133669996961977781584193025131615978691374736521e-01), SC_(9.9196088243015612875932298709053672424734467141780120825856707350305433097042525294321552164863047109e-01), SC_(9.9760245654598811811584699102546894291904546191886429980627001499665291127151607954102898970245409851e-01) }},
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{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2651088778028249529681324961472643930079008980008330443355801794393510519029990510797116683182423634e-01), SC_(9.9196521878191110759219578926460974418887553288384632411906981490130493843683671418532806952146307632e-01), SC_(9.9679483689080146267036555206087036941264673152290486533337176224825544066841611926466991550562261874e-01) }},
{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2642190862830527580721215526505229730209030323519852184974507764030465101007745564782832625354258426e-01), SC_(9.9197656273662858755859536262180938253203297732542725317281233590840843833734141008855041566100980432e-01), SC_(9.9468147004035723310154343069206567712485541810261085505258701220192600870722139834124181369745440365e-01) }},
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{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2636444600483454929809127650268940119326928490721071275191947418049108665734760052441701951562321976e-01), SC_(9.9198388433779066797744876757243919372651978497089148515009099094125826299863226947736370553030004936e-01), SC_(9.9331698429837425360137946605738697988644994627479783349201698499483352546906337696828993453198700348e-01) }},
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{{ SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2632924764235816731122490282788085050476197822831510526557353497849620409416563257619528664279583130e-01), SC_(9.9198836746713705777141680982103677818496328716939109700349370063712332759617804108545679620324882243e-01), SC_(9.9248130287295519744310865030952607670744265802403537347802822028594500474500607852951661534106741075e-01) }},
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{{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6070308834386404159049681239553434730978977615881969147142722819631969635063229458010769940901615571e-01), SC_(6.4910000106617422443762696869434170692368988825415526998433303308325407487195203453870690819261137407e-01), SC_(6.5224167903128336698276201258993391810194122946207851950380395682119994293224476046299862066823494348e-01) }}
}};
//#undef SC_