hypergeometric_2F0_half.ipp 34 KB

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  1. // Copyright John Maddock 2019.
  2. // Use, modification and distribution are subject to the
  3. // Boost Software License, Version 1.0.
  4. // (See accompanying file LICENSE_1_0.txt
  5. // or copy at http://www.boost.org/LICENSE_1_0.txt)
  6. #ifndef SC_
  7. # define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
  8. #endif
  9. static const boost::array<boost::array<T, 4>, 152> hypergeometric_2F0_half = {{
  10. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.2032157897563382410160422580627156030356e+27) },
  11. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-5.8552438403993540075445057576807515425389e+25) },
  12. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(1.8536215342403860903873766878985845837896e+26) },
  13. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.8933877135654357862948257668990833347521e+29) },
  14. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(5.7029786962671797374410568316289974479955e+29) },
  15. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.7256686022877808381153517416629897065172e+31) },
  16. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.4036795852930798689268880646401742536618e+31) },
  17. { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3108208371013991143749750060686093879128e+32) },
  18. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(2.2261151553219849602774257441342943187279e+26) },
  19. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(1.0026668728373103856616637520545354803538e+26) },
  20. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-2.8013886214392444940744423533118582725931e+24) },
  21. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(2.7177660267742394310298032400362721880877e+27) },
  22. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(7.7204232467149010826926166227567951910332e+27) },
  23. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.9504360238237116536694663721570401400599e+29) },
  24. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6696655078411082966297611860612782820774e+29) },
  25. { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.2781486793724450077029730324854395951302e+30) },
  26. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.4272935692950617393840572649372043642952e+24) },
  27. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-2.9787739478244595838217239400633538236065e+24) },
  28. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.1203884870112705735322844015795179077841e+22) },
  29. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(4.0982653063176939702943800803111332996020e+25) },
  30. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.0980973817736626660092561815773194839184e+26) },
  31. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.3168428306151719631431027465873901688692e+27) },
  32. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(3.1163030502892933547565652782161859863147e+27) },
  33. { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3609113476752708339828643717700228941000e+28) },
  34. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(1.1656421121187607877342422140840569562187e+23) },
  35. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(7.0021320491460322117459022932692503370530e+22) },
  36. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-5.5188743519606794936065870728126281186279e+20) },
  37. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(6.5095979752995215016570532743100421867381e+23) },
  38. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.6453391563790413040691524808609928654394e+24) },
  39. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.9001316875918613337076485266403316938733e+25) },
  40. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(3.8334681731758122408642315689935298949643e+25) },
  41. { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.5788906438618455324686375468189779687535e+26) },
  42. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-2.4230373655872434697755011822115451271442e+21) },
  43. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-1.5446221588026610617256990311676009383263e+21) },
  44. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(5.2039179437873750251202282607115305564081e+18) },
  45. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.0923380584793642789134552475058686982130e+22) },
  46. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(2.6047856302255220301623013289534164418422e+22) },
  47. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(3.8370314351121905972658449085955230994730e+23) },
  48. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(4.9844221333558154795317249715123383281341e+23) },
  49. { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.9781830965740745910605500904767647560904e+24) },
  50. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(5.0644424342158487881294138597841454452924e+19) },
  51. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(3.3812918660147447256197677418883785024773e+19) },
  52. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.4188764950171470672253965759049069766095e+16) },
  53. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.9428885513822720141998689138316087746558e+20) },
  54. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(4.3715437031599573901556906633979022383166e+20) },
  55. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(5.3838018759613374642581052449641152006731e+21) },
  56. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(6.8733673969699012600949680367789763452754e+21) },
  57. { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(3.6484269996513679951673558951935416684194e+22) },
  58. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-1.0865141223223570120139754116109481302512e+18) },
  59. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-7.5460625499065463274884794689243893020987e+17) },
  60. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-5.2696224103158161978709203372409976182064e+15) },
  61. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(3.6766552609030091557087821231880259491913e+18) },
  62. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(7.8068587233309904250155139526295672804466e+18) },
  63. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(8.0417261866112233532612611189738295611745e+19) },
  64. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(1.0090396036034582600949451074840239676639e+20) },
  65. { SC_(-1.4000000000000000000000000000000000000000e+01), SC_(-1.3500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(4.7594765663508724443483507541111761433157e+20) },
  66. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(2.4251604814618160012826816940036497312336e+16) },
  67. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(1.7451712329169837695116150808848215233858e+16) },
  68. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(2.5122076500229365069547526690121458782018e+14) },
  69. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(7.4340407355700938554121213329335429229979e+16) },
  70. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.4898981004933029132659563224941770192732e+17) },
  71. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.2842739825299535508488413184480942059033e+18) },
  72. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(1.5838516471694005715058654642976476087237e+18) },
  73. { SC_(-1.3000000000000000000000000000000000000000e+01), SC_(-1.2500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(6.6406307987120982994591227578030194224229e+18) },
  74. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.6898072119164321122419168372018837227839e+14) },
  75. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-4.2318039277775492649236087876812754141650e+14) },
  76. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-1.0320116752292687244792088051052615762343e+13) },
  77. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.6139671540149398267495152704824434098589e+15) },
  78. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(3.0536207892575778823959917105346115226548e+15) },
  79. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.2038398526358615407436591645827778714282e+16) },
  80. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6715090620038393105603895018667196718682e+16) },
  81. { SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-1.1500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(9.9595772133831924719423921552386695581699e+16) },
  82. { SC_(-1.1000000000000000000000000000000000000000e+01), SC_(-1.0500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(1.4154122126853155945577811325670848477986e+13) },
  83. { SC_(-1.1000000000000000000000000000000000000000e+01), SC_(-1.0500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(1.0862479081146393292799907385813507795891e+13) },
  84. { SC_(-1.1000000000000000000000000000000000000000e+01), SC_(-1.0500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.1324758456988467160422473202003867414016e+11) },
  85. { SC_(-1.1000000000000000000000000000000000000000e+01), SC_(-1.0500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(3.7838957515407207740379345721280023762909e+13) },
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  162. }};
  163. //#undef SC_