ibeta_derivative_data.ipp 107 KB

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  1. // (C) Copyright John Maddock 2006.
  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. static const boost::array<boost::array<typename table_type<T>::type, 4>, 500> ibeta_derivative_data = { {
  6. {{ SC_(1.1510574072599411010742187500000000000000e-01), SC_(2.7266698837280273437500000000000000000000e+01), SC_(9.1334599256515502929687500000000000000000e-01), SC_(2.4207408975542468276471409063557340041241e-29) }},
  7. {{ SC_(4.6342256665229797363281250000000000000000e-01), SC_(3.4317314624786376953125000000000000000000e+00), SC_(2.4176712334156036376953125000000000000000e-01), SC_(9.7664819482450522256458342803161978618775e-01) }},
  8. {{ SC_(6.7153173685073852539062500000000000000000e-01), SC_(2.3063192367553710937500000000000000000000e+01), SC_(9.0844279527664184570312500000000000000000e-01), SC_(7.7554246601041672683444057212131973997266e-23) }},
  9. {{ SC_(1.1902070045471191406250000000000000000000e+00), SC_(7.2695472717285156250000000000000000000000e+01), SC_(1.9963125884532928466796875000000000000000e-01), SC_(1.5321906748924114891745060032886406946431e-05) }},
  10. {{ SC_(1.5403441190719604492187500000000000000000e+00), SC_(4.0498138427734375000000000000000000000000e+01), SC_(3.4629878401756286621093750000000000000000e-01), SC_(9.7923759539017191739927492689320033465430e-06) }},
  11. {{ SC_(1.5487123727798461914062500000000000000000e+00), SC_(8.1611701965332031250000000000000000000000e+01), SC_(6.7876726388931274414062500000000000000000e-01), SC_(1.4648121492813252292768373177014159640882e-37) }},
  12. {{ SC_(2.2512593269348144531250000000000000000000e+00), SC_(4.8983201980590820312500000000000000000000e+00), SC_(7.9967319965362548828125000000000000000000e-01), SC_(5.8540689042279303280934853157536449193018e-02) }},
  13. {{ SC_(2.8674151897430419921875000000000000000000e+00), SC_(5.9605796813964843750000000000000000000000e+01), SC_(5.7525110244750976562500000000000000000000e-01), SC_(4.1520494356899987293263524909301504576644e-18) }},
  14. {{ SC_(2.9220280647277832031250000000000000000000e+00), SC_(2.6592067718505859375000000000000000000000e+01), SC_(4.7334149479866027832031250000000000000000e-01), SC_(1.5360804982518247618055790218134454683015e-04) }},
  15. {{ SC_(3.0540943145751953125000000000000000000000e+00), SC_(4.2397834777832031250000000000000000000000e+01), SC_(5.4692679643630981445312500000000000000000e-01), SC_(8.0612663701892327894335289230344080268832e-11) }},
  16. {{ SC_(3.1832842826843261718750000000000000000000e+00), SC_(3.1655042648315429687500000000000000000000e+01), SC_(7.7649272978305816650390625000000000000000e-02), SC_(8.8341058727651780743888393582017562906730e+00) }},
  17. {{ SC_(3.2600824832916259765625000000000000000000e+00), SC_(6.2543244361877441406250000000000000000000e+00), SC_(7.4315816164016723632812500000000000000000e-01), SC_(1.0379733790217871357173865887253816637006e-01) }},
  18. {{ SC_(3.3603835105895996093750000000000000000000e+00), SC_(5.2892066955566406250000000000000000000000e+01), SC_(8.1474220752716064453125000000000000000000e-01), SC_(1.4471713407452094696775820779224978323052e-33) }},
  19. {{ SC_(3.4446079730987548828125000000000000000000e+00), SC_(6.6360549926757812500000000000000000000000e+01), SC_(9.6544884145259857177734375000000000000000e-02), SC_(2.7781298937691931090821146699278519297691e+00) }},
  20. {{ SC_(3.5711679458618164062500000000000000000000e+00), SC_(3.6129398345947265625000000000000000000000e+01), SC_(4.6266771852970123291015625000000000000000e-02), SC_(8.0630029089023351756097144189618087805396e+00) }},
  21. {{ SC_(3.5762732028961181640625000000000000000000e+00), SC_(8.0645103454589843750000000000000000000000e+01), SC_(9.2886126041412353515625000000000000000000e-01), SC_(5.9940422450869549098960555214416305547326e-86) }},
  22. {{ SC_(3.7738864421844482421875000000000000000000e+00), SC_(8.8396858215332031250000000000000000000000e+01), SC_(5.0323975086212158203125000000000000000000e-01), SC_(2.1377651869822463634780753524564708635893e-21) }},
  23. {{ SC_(4.2431135177612304687500000000000000000000e+00), SC_(8.7180511474609375000000000000000000000000e+01), SC_(5.9454411268234252929687500000000000000000e-01), SC_(6.8062834654037274734122915634980312931827e-28) }},
  24. {{ SC_(4.3023800849914550781250000000000000000000e+00), SC_(9.0843360900878906250000000000000000000000e+01), SC_(3.5004875063896179199218750000000000000000e-01), SC_(1.5608126308518008133492289115131279859932e-11) }},
  25. {{ SC_(4.6171388626098632812500000000000000000000e+00), SC_(1.4911397933959960937500000000000000000000e+01), SC_(8.1217654049396514892578125000000000000000e-02), SC_(1.1194404395979094886693390163859136406908e+00) }},
  26. {{ SC_(4.9654426574707031250000000000000000000000e+00), SC_(8.2345542907714843750000000000000000000000e+01), SC_(3.0131623148918151855468750000000000000000e-01), SC_(2.9673202581029389290761763702686503576267e-07) }},
  27. {{ SC_(5.2676992416381835937500000000000000000000e+00), SC_(9.4657722473144531250000000000000000000000e+01), SC_(6.9526332616806030273437500000000000000000e-01), SC_(7.8295573513376509498686599296931122513815e-41) }},
  28. {{ SC_(5.3950119018554687500000000000000000000000e+00), SC_(3.5276241302490234375000000000000000000000e+01), SC_(1.8489784002304077148437500000000000000000e-01), SC_(3.7781645456892386738803801132041850052157e+00) }},
  29. {{ SC_(5.9618859291076660156250000000000000000000e+00), SC_(9.5247200012207031250000000000000000000000e+01), SC_(5.8708602190017700195312500000000000000000e-01), SC_(2.8909997138823406017647215950584284274946e-28) }},
  30. {{ SC_(5.9779543876647949218750000000000000000000e+00), SC_(4.3524570465087890625000000000000000000000e+01), SC_(3.4045168757438659667968750000000000000000e-01), SC_(7.2467962642427209493327424376129419910391e-03) }},
  31. {{ SC_(6.0471181869506835937500000000000000000000e+00), SC_(2.7766407012939453125000000000000000000000e+01), SC_(6.5411365032196044921875000000000000000000e-01), SC_(3.6952018127816630664368058046263404187981e-07) }},
  32. {{ SC_(6.7992763519287109375000000000000000000000e+00), SC_(9.0447486877441406250000000000000000000000e+01), SC_(8.8773733377456665039062500000000000000000e-01), SC_(2.7875020546746494594346164754545861934449e-75) }},
  33. {{ SC_(6.8806104660034179687500000000000000000000e+00), SC_(2.9616764068603515625000000000000000000000e+01), SC_(8.1578749418258666992187500000000000000000e-01), SC_(1.2519441814941828724197920489286372161610e-14) }},
  34. {{ SC_(7.1445455551147460937500000000000000000000e+00), SC_(9.3460266113281250000000000000000000000000e+01), SC_(5.9493660926818847656250000000000000000000e-01), SC_(3.3806876322733292327628646174748719062289e-27) }},
  35. {{ SC_(7.5854291915893554687500000000000000000000e+00), SC_(4.0420852661132812500000000000000000000000e+01), SC_(1.8398940563201904296875000000000000000000e-01), SC_(5.9352775227542433026391305724764114725504e+00) }},
  36. {{ SC_(7.5966687202453613281250000000000000000000e+00), SC_(7.6242134094238281250000000000000000000000e+01), SC_(2.8591042757034301757812500000000000000000e-01), SC_(3.1025894314359612153177644554585512270890e-04) }},
  37. {{ SC_(7.8175530433654785156250000000000000000000e+00), SC_(8.5445098876953125000000000000000000000000e+01), SC_(2.3957851529121398925781250000000000000000e-01), SC_(2.5947254244338476680603761727344934747223e-03) }},
  38. {{ SC_(8.1125764846801757812500000000000000000000e+00), SC_(3.7941886901855468750000000000000000000000e+01), SC_(3.7948089838027954101562500000000000000000e-01), SC_(4.6821088167936976010051494286864725775883e-02) }},
  39. {{ SC_(8.3469820022583007812500000000000000000000e+00), SC_(9.0694412231445312500000000000000000000000e+01), SC_(6.4435368776321411132812500000000000000000e-01), SC_(6.3030072588196834030170112173608791329327e-30) }},
  40. {{ SC_(8.3821382522583007812500000000000000000000e+00), SC_(9.1257751464843750000000000000000000000000e+01), SC_(2.2599919140338897705078125000000000000000e-01), SC_(5.2881469602643104844542650964221707463689e-03) }},
  41. {{ SC_(8.4435853958129882812500000000000000000000e+00), SC_(3.4623340606689453125000000000000000000000e+01), SC_(2.5115874409675598144531250000000000000000e-01), SC_(3.7894245667769801680359258792926483054189e+00) }},
  42. {{ SC_(8.5515785217285156250000000000000000000000e+00), SC_(9.9353477478027343750000000000000000000000e+01), SC_(4.7097623348236083984375000000000000000000e-01), SC_(2.2705544683357531139851779880974016500933e-17) }},
  43. {{ SC_(9.0823287963867187500000000000000000000000e+00), SC_(6.7884831428527832031250000000000000000000e+00), SC_(8.4073317050933837890625000000000000000000e-01), SC_(2.3253553052043743572314085978783936666270e-01) }},
  44. {{ SC_(9.1113471984863281250000000000000000000000e+00), SC_(8.6217231750488281250000000000000000000000e+00), SC_(9.5751106739044189453125000000000000000000e-01), SC_(4.4195677053725254695509680571117699443277e-06) }},
  45. {{ SC_(9.4229335784912109375000000000000000000000e+00), SC_(7.7645378112792968750000000000000000000000e+01), SC_(8.0819469690322875976562500000000000000000e-01), SC_(1.8912473365492082636877902718276687259004e-43) }},
  46. {{ SC_(9.6454534530639648437500000000000000000000e+00), SC_(2.2341995239257812500000000000000000000000e+01), SC_(3.2503104209899902343750000000000000000000e-01), SC_(4.4873628180983870635954156690826834427898e+00) }},
  47. {{ SC_(9.6730031967163085937500000000000000000000e+00), SC_(2.8968938827514648437500000000000000000000e+01), SC_(6.0288280248641967773437500000000000000000e-01), SC_(2.2196350401144129220977327421878629614844e-04) }},
  48. {{ SC_(9.7131776809692382812500000000000000000000e+00), SC_(9.9406852722167968750000000000000000000000e+01), SC_(8.3912998437881469726562500000000000000000e-02), SC_(1.5029593975108844998316495940601529495151e+01) }},
  49. {{ SC_(9.7540397644042968750000000000000000000000e+00), SC_(5.4722057342529296875000000000000000000000e+01), SC_(1.3637771829962730407714843750000000000000e-02), SC_(2.0219479728388344001129177285423984401507e-05) }},
  50. {{ SC_(9.8712282180786132812500000000000000000000e+00), SC_(7.6685409545898437500000000000000000000000e+01), SC_(5.0600647926330566406250000000000000000000e-01), SC_(4.0116702034246323475372693058426121485208e-13) }},
  51. {{ SC_(1.0562920570373535156250000000000000000000e+01), SC_(6.8127136230468750000000000000000000000000e+01), SC_(8.2583439350128173828125000000000000000000e-01), SC_(6.4310333468233385232924679451034802639381e-39) }},
  52. {{ SC_(1.0621634483337402343750000000000000000000e+01), SC_(4.9278961181640625000000000000000000000000e+01), SC_(6.7985177040100097656250000000000000000000e-01), SC_(5.3858309965358079937490625366688470394612e-14) }},
  53. {{ SC_(1.0665277481079101562500000000000000000000e+01), SC_(4.9854419708251953125000000000000000000000e+01), SC_(2.4002853035926818847656250000000000000000e-01), SC_(3.1187513746257366856970775676846723472293e+00) }},
  54. {{ SC_(1.0676186561584472656250000000000000000000e+01), SC_(5.0197441101074218750000000000000000000000e+01), SC_(5.2858030796051025390625000000000000000000e-01), SC_(3.9650283939187534962311144517331442971100e-07) }},
  55. {{ SC_(1.0776901245117187500000000000000000000000e+01), SC_(3.7481258392333984375000000000000000000000e+01), SC_(7.9485189914703369140625000000000000000000e-01), SC_(1.3109221711129630407433152885373626068431e-15) }},
  56. {{ SC_(1.1111922264099121093750000000000000000000e+01), SC_(7.0732154846191406250000000000000000000000e+01), SC_(4.4273400306701660156250000000000000000000e-01), SC_(8.3478045067836009543710006747196699193666e-08) }},
  57. {{ SC_(1.1120275497436523437500000000000000000000e+01), SC_(1.6287212371826171875000000000000000000000e+01), SC_(3.1257674098014831542968750000000000000000e-01), SC_(2.7856134359777401694323253950114592152215e+00) }},
  58. {{ SC_(1.1741765975952148437500000000000000000000e+01), SC_(3.2496353149414062500000000000000000000000e+01), SC_(4.5804336667060852050781250000000000000000e-01), SC_(1.4490615315893460413800248058644705625580e-01) }},
  59. {{ SC_(1.1899767875671386718750000000000000000000e+01), SC_(4.5603282928466796875000000000000000000000e+01), SC_(1.2527024745941162109375000000000000000000e-01), SC_(2.4690575982516011251678784255121134385404e+00) }},
  60. {{ SC_(1.1939624786376953125000000000000000000000e+01), SC_(1.1107936859130859375000000000000000000000e+01), SC_(9.7992765903472900390625000000000000000000e-01), SC_(4.5093593961851700039513260612173877438070e-11) }},
  61. {{ SC_(1.2061161994934082031250000000000000000000e+01), SC_(7.0715972900390625000000000000000000000000e+01), SC_(7.6554024219512939453125000000000000000000e-01), SC_(6.7681695831897014636544674296977262284443e-31) }},
  62. {{ SC_(1.2331892967224121093750000000000000000000e+01), SC_(2.5295597076416015625000000000000000000000e+01), SC_(2.9639115929603576660156250000000000000000e-01), SC_(5.0099622187368652150799464919858918200011e+00) }},
  63. {{ SC_(1.2698681831359863281250000000000000000000e+01), SC_(9.6886779785156250000000000000000000000000e+01), SC_(4.8830057494342327117919921875000000000000e-03), SC_(8.8759085372078204290481694902877166751910e-11) }},
  64. {{ SC_(1.2801440238952636718750000000000000000000e+01), SC_(8.8172546386718750000000000000000000000000e+01), SC_(7.3174923658370971679687500000000000000000e-01), SC_(2.3959684834938466018983877029879801481351e-35) }},
  65. {{ SC_(1.2990620613098144531250000000000000000000e+01), SC_(1.5443841934204101562500000000000000000000e+01), SC_(1.9457593560218811035156250000000000000000e-01), SC_(4.5009556206529124507563739506987037742597e-02) }},
  66. {{ SC_(1.3197329521179199218750000000000000000000e+01), SC_(4.9030147552490234375000000000000000000000e+01), SC_(3.3251503109931945800781250000000000000000e-01), SC_(6.3924992600767308554168553588533170799656e-01) }},
  67. {{ SC_(1.3317100524902343750000000000000000000000e+01), SC_(7.6503977775573730468750000000000000000000e+00), SC_(6.4458608627319335937500000000000000000000e-01), SC_(3.7729335933569342436967490852754916717382e+00) }},
  68. {{ SC_(1.3606855392456054687500000000000000000000e+01), SC_(8.0211143493652343750000000000000000000000e+01), SC_(2.6255598664283752441406250000000000000000e-01), SC_(1.5854052099622158348827849145379430722141e-01) }},
  69. {{ SC_(1.3655313491821289062500000000000000000000e+01), SC_(8.4710968017578125000000000000000000000000e+01), SC_(5.1329821348190307617187500000000000000000e-01), SC_(3.1394723131635399959244980908368501008223e-13) }},
  70. {{ SC_(1.3862444877624511718750000000000000000000e+01), SC_(7.6173118591308593750000000000000000000000e+01), SC_(1.4197215437889099121093750000000000000000e-01), SC_(1.0581979947827440430361070783605737372261e+01) }},
  71. {{ SC_(1.4188633918762207031250000000000000000000e+01), SC_(4.7834840416908264160156250000000000000000e-01), SC_(3.5808108747005462646484375000000000000000e-02), SC_(1.6478079705378913515997329679539301948765e-19) }},
  72. {{ SC_(1.4495479583740234375000000000000000000000e+01), SC_(6.8028709411621093750000000000000000000000e+01), SC_(2.7282574772834777832031250000000000000000e-01), SC_(8.0501710923851700513338638318708020804912e-01) }},
  73. {{ SC_(1.4553898811340332031250000000000000000000e+01), SC_(2.8267330169677734375000000000000000000000e+01), SC_(2.6228553056716918945312500000000000000000e-01), SC_(3.3798927638241715676810397320583363319808e+00) }},
  74. {{ SC_(1.4929400444030761718750000000000000000000e+01), SC_(2.3015605926513671875000000000000000000000e+01), SC_(1.4504030346870422363281250000000000000000e-01), SC_(8.7824944126020821934494175942001425002052e-03) }},
  75. {{ SC_(1.4986544609069824218750000000000000000000e+01), SC_(1.9510740280151367187500000000000000000000e+01), SC_(6.2209290266036987304687500000000000000000e-01), SC_(4.0843389894132075517906564367620589440411e-01) }},
  76. {{ SC_(1.5237802505493164062500000000000000000000e+01), SC_(5.0319004058837890625000000000000000000000e+01), SC_(2.3023304343223571777343750000000000000000e-01), SC_(7.6466348308792206006421445393460304137052e+00) }},
  77. {{ SC_(1.5272119522094726562500000000000000000000e+01), SC_(5.4025207519531250000000000000000000000000e+01), SC_(9.3401730060577392578125000000000000000000e-01), SC_(9.6697969079597332027763688276799076735701e-48) }},
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