ellint_rg_00x.ipp 146 KB

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  1. // Copyright John Maddock 2015.
  2. // Use, modification and distribution are subject to the
  3. // Boost Software License, Version 1.0. (See accompanying file
  4. // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
  5. #ifndef SC_
  6. # define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
  7. #endif
  8. static const boost::array<boost::array<typename table_type<T>::type, 4>, 663> ellint_rg_00x = {{
  9. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8695000169531189693636701563837803699463e-17) }},
  10. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.0913389407991590131117739644875098957769e-17) }},
  11. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.8316687838956488016434687257271923313486e-17) }},
  12. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(5.3172158517843024689477691002220959899307e-17) }},
  13. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(5.8930427511845963170368827281430457466577e-17) }},
  14. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.1015482067254804730500197721409557719541e-16) }},
  15. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.5357141094428259087485341009850587033597e-16) }},
  16. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.7349585963891261367539507231389649871186e-16) }},
  17. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.8369263961695202702934514450953761444918e-16) }},
  18. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(3.5915905052801518433569362444869627546944e-16) }},
  19. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(4.6524367178817738822406615091874289995103e-16) }},
  20. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(7.8119829470338423930192781664793621737565e-16) }},
  21. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.0042694986341419504582649316904466296073e-15) }},
  22. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.3692829082753103947758067732865084585846e-15) }},
  23. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2093203505333961026893840214478165808216e-15) }},
  24. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(3.5463853651736465659350239323451562267196e-15) }},
  25. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(4.9706345239029507266434873446587342440930e-15) }},
  26. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0991387432498912292619373853169078278675e-15) }},
  27. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(9.9599960742576043212497479078858903147334e-15) }},
  28. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.4095616199426038257903753238904109076566e-14) }},
  29. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(1.5289801939020414609906770546277462295745e-14) }},
  30. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.6401906826019526228015819090913075955906e-14) }},
  31. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(3.9897768654231557860058176028361758280846e-14) }},
  32. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(5.6574333504819360450100112265404995427795e-14) }},
  33. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(7.9523245579735963214733273604345486304799e-14) }},
  34. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(8.4689497721487256772525847403176899231508e-14) }},
  35. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(1.3855694547098548554317861053030936606666e-13) }},
  36. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.1559207634003282454531254669497672386290e-13) }},
  37. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.0507753021192346839846744931085396804866e-13) }},
  38. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(3.6620992141996808033471281550077436845216e-13) }},
  39. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(4.8593882195716056509977625375072570125253e-13) }},
  40. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(6.4464608291029104010136202972823608894938e-13) }},
  41. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.0844598492317095988877630610447335661034e-12) }},
  42. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(1.3566200698452596197711626216879321590467e-12) }},
  43. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5176648333267374679682460563050603066757e-12) }},
  44. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(3.2940922350680393113450713321419925149264e-12) }},
  45. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(4.8702839070930842168909037214134643751813e-12) }},
  46. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0513571600661542320124270053683486242623e-12) }},
  47. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.0185021044577462080450357978829247002679e-11) }},
  48. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.2617704585597710031792788671092631410921e-11) }},
  49. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.8724762729639497382499017608610594455516e-11) }},
  50. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(2.7594424573564341023491743425095842340473e-11) }},
  51. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(2.9618939636019586771937139157788183265357e-11) }},
  52. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(4.8022092693478290594576330739524432645684e-11) }},
  53. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(7.9152343139403698793791078370791875230378e-11) }},
  54. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(9.0621834985206971622545306556298946794564e-11) }},
  55. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.6189654348195389829965943466574960353963e-10) }},
  56. {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(2.1347912053137670674742143235181056376938e-10) }},
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  647. {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4241415528748582299770320591950009202687e+12) }},
  648. {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1736353452632599784077638090281567199672e+12) }},
  649. {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0171275136141836317192779281982309228935e+13) }},
  650. {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4658471067051066783568147427705258231754e+13) }},
  651. {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8965178885264921222260202286143534060863e+13) }},
  652. {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4540702713924525243639503557917572766697e+13) }},
  653. {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7129782844325082182310626238780470804039e+13) }},
  654. {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9629304014430587663297316732825619498070e+13) }},
  655. {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.0578047987107379395246253358866915814541e+13) }},
  656. {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3581999085921361385489614154149704046472e+14) }},
  657. {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7399918067063716567060561978883081855268e+14) }},
  658. {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5335561696923270744676233140894501246453e+14) }},
  659. {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0389502406939312371731261423476572875272e+14) }},
  660. {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2118794608526631407393399696705143265567e+14) }},
  661. {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.1252245356299900262388215292670498952268e+14) }},
  662. {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.6590031373679192010017178725311277183004e+14) }},
  663. {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2653085988634809413230820274833081362941e+15) }},
  664. {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8433285386346460518233700036843373483381e+15) }},
  665. {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8960622831697886278887663202234470113675e+15) }},
  666. {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9388373945892361714711325360660524509593e+15) }},
  667. {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8533182821997908655188024659144315251737e+15) }},
  668. {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3434593750369609507568693568489478189925e+15) }},
  669. {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1909109246819302883781302864348400525701e+16) }},
  670. {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7961988092527235108682319995292332426926e+16) }},
  671. {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1696258396168112414049115446739966517574e+16) }}
  672. }};
  673. //#undef SC_