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Fix up non-central T test data for 128-bit floats.
Fixes: https://github.com/boostorg/math/issues/544. Also fixes uncovered issue in tgamma_ratio where we were previously relying on sub-normals to get the correct result.
This commit is contained in:
jzmaddock
@@ -1555,9 +1555,17 @@ T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const Lanczos&
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T result;
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if(z + delta == z)
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{
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if(fabs(delta) < 10)
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result = exp((constants::half<T>() - z) * boost::math::log1p(delta / zgh, pol));
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if (fabs(delta / zgh) < boost::math::tools::epsilon<T>())
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{
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// We have:
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// result = exp((constants::half<T>() - z) * boost::math::log1p(delta / zgh, pol));
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// 0.5 - z == -z
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// log1p(delta / zgh) = delta / zgh = delta / z
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// multiplying we get -delta.
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result = exp(-delta);
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}
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else
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// from the pow formula below... but this may actually be wrong, we just can't really calculate it :(
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result = 1;
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}
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else
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@@ -843,6 +843,7 @@ test-suite distribution_tests :
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test-suite mp :
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[ run test_nc_t_quad.cpp pch ../../test/build//boost_unit_test_framework : : : release ]
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[ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST1 : test_polynomial_1 ]
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[ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST2 : test_polynomial_2 ]
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[ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST3 : test_polynomial_3 ]
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413
test/nct.ipp
413
test/nct.ipp
@@ -8,209 +8,214 @@
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#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
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#endif
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static const boost::array<boost::array<typename table_type<T>::type, 5>, 209-7> nct = {{
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{{ SC_(5.637862086296081542968750000000000000000e-1), SC_(-5.074075460433959960937500000000000000000e-1), SC_(-3.162277862429618835449218750000000000000e-2), SC_(6.862274577179818450132372470056769938949e-1), SC_(3.137725422820181549867627529943230061051e-1) }},
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{{ SC_(9.567963480949401855468750000000000000000e-1), SC_(-9.472283720970153808593750000000000000000e-1), SC_(-7.905694097280502319335937500000000000000e-2), SC_(8.115615601997266002916301508229723403909e-1), SC_(1.884384398002733997083698491770276596091e-1) }},
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{{ SC_(2.380512714385986328125000000000000000000), SC_(-2.378132343292236328125000000000000000000), SC_(-6.344355583190917968750000000000000000000), SC_(1.181983559218041139443788725932712768639e-1), SC_(8.818016440781958860556211274067287231361e-1) }},
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{{ SC_(2.707923889160156250000000000000000000000), SC_(2.707923889160156250000000000000000000000), SC_(6.967820167541503906250000000000000000000), SC_(8.962869141158998144131448676176096050228e-1), SC_(1.037130858841001855868551323823903949772e-1) }},
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{{ SC_(3.554877519607543945312500000000000000000), SC_(3.555233001708984375000000000000000000000), SC_(7.444825649261474609375000000000000000000), SC_(8.868528863556108953156241536058758129831e-1), SC_(1.131471136443891046843758463941241870169e-1) }},
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{{ SC_(6.366665840148925781250000000000000000000), SC_(-6.373032569885253906250000000000000000000), SC_(-1.003813362121582031250000000000000000000e1), SC_(1.297164612941840729663335994423583046378e-1), SC_(8.702835387058159270336664005576416953622e-1) }},
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{{ SC_(7.142432212829589843750000000000000000000), SC_(-7.856675624847412109375000000000000000000), SC_(-1.186992073059082031250000000000000000000e1), SC_(1.313759752665446453920643109581266741211e-1), SC_(8.686240247334553546079356890418733258789e-1) }},
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{{ SC_(7.288346767425537109375000000000000000000), SC_(-8.746016502380371093750000000000000000000), SC_(-1.308834171295166015625000000000000000000e1), SC_(1.317487167403902234213465542239538177641e-1), SC_(8.682512832596097765786534457760461822359e-1) }},
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{{ SC_(9.234373092651367187500000000000000000000), SC_(-1.200468444824218750000000000000000000000e1), SC_(-1.678483200073242187500000000000000000000e1), SC_(1.371773284108319849485042712205994589836e-1), SC_(8.628226715891680150514957287794005410164e-1) }},
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{{ SC_(1.024338054656982421875000000000000000000e1), SC_(-1.536507034301757812500000000000000000000e1), SC_(-2.095777320861816406250000000000000000000e1), SC_(1.376443537392091127705735460070325295078e-1), SC_(8.623556462607908872294264539929674704922e-1) }},
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|
||||
{{ SC_(10.24338054656982421875), SC_(-15.365070343017578125), SC_(-20.9577732086181640625), SC_(0.1376443537392091127705735460070325295078), SC_(0.8623556462607908872294264539929674704922) }},
|
||||
// Accuracy for cdf was 1.622351158972134369182482692488613274872e-35 reverting to ibeta method
|
||||
{{ SC_(10.79011821746826171875), SC_(21.5802364349365234375), SC_(29.537731170654296875), SC_(0.8756990872254366689422087613232016840613), SC_(0.1243009127745633310577912386767983159387) }},
|
||||
// Accuracy for cdf was 4.160454383617042892649968592965892889131e-33 reverting to ibeta method
|
||||
{{ SC_(13.519168853759765625), SC_(40.557506561279296875), SC_(53.932964324951171875), SC_(0.8875082903101746924904055764230529369583), SC_(0.1124917096898253075095944235769470630417) }},
|
||||
// Accuracy for cdf was 1.604620391037388264598463685671917292006e-31 reverting to ibeta method
|
||||
{{ SC_(15.17095088958740234375), SC_(60.683803558349609375), SC_(80.29798126220703125), SC_(0.8999784514511157146615339407607497230611), SC_(0.1000215485488842853384660592392502769389) }},
|
||||
// Accuracy for complement cdf was 1.877283192112248869020882051946325886895e-31 reverting to ibeta method
|
||||
{{ SC_(19.42644500732421875), SC_(-97.13222503662109375), SC_(-127.0076446533203125), SC_(0.07762632640481949429728015088679192552401), SC_(0.922373673595180505702719849113208074476) }},
|
||||
{{ SC_(19.50817108154296875), SC_(-1.950817108154296875), SC_(-4.251358509063720703125), SC_(0.03051855543632768793517707982155241831073), SC_(0.9694814445636723120648229201784475816893) }},
|
||||
{{ SC_(21.9724407196044921875), SC_(5.493110179901123046875), SC_(9.84743499755859375), SC_(0.992986065543250281397900520551747563875), SC_(0.007013934456749718602099479448252436125022) }},
|
||||
{{ SC_(22.492992401123046875), SC_(-11.2464962005615234375), SC_(-20.0706157684326171875), SC_(0.001741152139887334291426335869016989927262), SC_(0.9982588478601126657085736641309830100727) }},
|
||||
// Accuracy for cdf was 1.377945317134861778664593003010615381153e-35 reverting to ibeta method
|
||||
{{ SC_(23.7996234893798828125), SC_(17.8497180938720703125), SC_(33.418292999267578125), SC_(0.9996211766573392792339813291721999010055), SC_(0.0003788233426607207660186708278000989945169) }},
|
||||
{{ SC_(25.036640167236328125), SC_(-22.5329761505126953125), SC_(-23.5968837738037109375), SC_(0.4134518081460681240313822521036373281691), SC_(0.5865481918539318759686177478963626718309) }},
|
||||
{{ SC_(25.1794147491455078125), SC_(24.92761993408203125), SC_(26.6859874725341796875), SC_(0.6429374782181830684645655350039514639861), SC_(0.3570625217818169315354344649960485360139) }},
|
||||
{{ SC_(25.3974514007568359375), SC_(25.3720550537109375), SC_(28.144287109375), SC_(0.7259483462797133090367177861426920725105), SC_(0.2740516537202866909632822138573079274895) }},
|
||||
{{ SC_(25.9813289642333984375), SC_(-25.9813289642333984375), SC_(-29.77846527099609375), SC_(0.2056285524153440036454579324861282902585), SC_(0.7943714475846559963545420675138717097415) }},
|
||||
{{ SC_(27.0954875946044921875), SC_(27.09819793701171875), SC_(31.5578861236572265625), SC_(0.828431929449262988498157070696003843914), SC_(0.171568070550737011501842929303996156086) }},
|
||||
{{ SC_(27.7249755859375), SC_(-27.7527027130126953125), SC_(-32.620880126953125), SC_(0.1533040128385550877036403158398526326095), SC_(0.8466959871614449122963596841601473673905) }},
|
||||
{{ SC_(28.377353668212890625), SC_(-28.6611270904541015625), SC_(-33.646392822265625), SC_(0.1517071461091471563002300276017556302873), SC_(0.8482928538908528436997699723982443697127) }},
|
||||
{{ SC_(29.8228816986083984375), SC_(-32.805171966552734375), SC_(-38.3089447021484375), SC_(0.1518216968394176742712403142990093487196), SC_(0.8481783031605823257287596857009906512804) }},
|
||||
{{ SC_(29.85888671875), SC_(-35.83066558837890625), SC_(-41.81766510009765625), SC_(0.1517913318103332394681789642601874730845), SC_(0.8482086681896667605318210357398125269155) }},
|
||||
{{ SC_(30.8877696990966796875), SC_(-40.1540985107421875), SC_(-46.704540252685546875), SC_(0.151820911717382118330639220492336736004), SC_(0.848179088282617881669360779507663263996) }},
|
||||
{{ SC_(31.522701263427734375), SC_(47.28404998779296875), SC_(54.9264984130859375), SC_(0.8498252445594378197691615470039570119257), SC_(0.1501747554405621802308384529960429880743) }},
|
||||
{{ SC_(31.6116008758544921875), SC_(63.223201751708984375), SC_(74.14052581787109375), SC_(0.8664876685568435851658590203027698501092), SC_(0.1335123314431564148341409796972301498908) }},
|
||||
{{ SC_(32.522430419921875), SC_(97.567291259765625), SC_(115.3452301025390625), SC_(0.8831031107955767113232711697542937898518), SC_(0.1168968892044232886767288302457062101482) }},
|
||||
{{ SC_(34.23741912841796875), SC_(136.949676513671875), SC_(162.8426971435546875), SC_(0.8979978036187864055320169695913375830185), SC_(0.1020021963812135944679830304086624169815) }},
|
||||
{{ SC_(34.7731170654296875), SC_(173.8655853271484375), SC_(210.820098876953125), SC_(0.9231547098404640045345676119885187046564), SC_(0.07684529015953599546543238801148129534355) }},
|
||||
{{ SC_(37.374603271484375), SC_(-3.7374603748321533203125), SC_(-6.06284999847412109375), SC_(0.02989407974199651137619128615323098044931), SC_(0.9701059202580034886238087138467690195507) }},
|
||||
{{ SC_(37.67647552490234375), SC_(9.4191188812255859375), SC_(14.2204608917236328125), SC_(0.9942432836401959725307634033893315517704), SC_(0.005756716359804027469236596610668448229627) }},
|
||||
{{ SC_(39.31912994384765625), SC_(-19.659564971923828125), SC_(-30.221057891845703125), SC_(0.001018579099877846617752492244992008361556), SC_(0.9989814209001221533822475077550079916384) }},
|
||||
{{ SC_(41.613689422607421875), SC_(-31.21026611328125), SC_(-50.417530059814453125), SC_(0.0001504952224329608441786737013794940554069), SC_(0.9998495047775670391558213262986205059446) }},
|
||||
{{ SC_(42.04189300537109375), SC_(-37.837703704833984375), SC_(-38.973720550537109375), SC_(0.4241964739668615107939485538821951273245), SC_(0.5758035260331384892060514461178048726755) }},
|
||||
{{ SC_(42.384944915771484375), SC_(41.96109771728515625), SC_(43.941558837890625), SC_(0.6324772961255670448387378401509919194938), SC_(0.3675227038744329551612621598490080805062) }},
|
||||
{{ SC_(43.4476470947265625), SC_(43.404201507568359375), SC_(46.65811920166015625), SC_(0.7171851424088798130212692227040859394821), SC_(0.2828148575911201869787307772959140605179) }},
|
||||
{{ SC_(44.20688629150390625), SC_(-44.20688629150390625), SC_(-48.7362060546875), SC_(0.2114948742992961572807034016738007587978), SC_(0.7885051257007038427192965983261992412022) }},
|
||||
{{ SC_(44.7624664306640625), SC_(44.76694488525390625), SC_(50.073467254638671875), SC_(0.8245850473011781305822593524388817446911), SC_(0.1754149526988218694177406475611182553089) }},
|
||||
{{ SC_(46.03128814697265625), SC_(-46.077320098876953125), SC_(-51.90364837646484375), SC_(0.1561987365681882768738847432273329720561), SC_(0.8438012634318117231261152567726670279439) }},
|
||||
{{ SC_(48.70507049560546875), SC_(-49.192119598388671875), SC_(-55.244049072265625), SC_(0.1545907695642567335795228865061980095925), SC_(0.8454092304357432664204771134938019904075) }},
|
||||
{{ SC_(50.216846466064453125), SC_(-55.23853302001953125), SC_(-61.89676666259765625), SC_(0.1544995294701398525596552628473387177431), SC_(0.8455004705298601474403447371526612822569) }},
|
||||
{{ SC_(50.856510162353515625), SC_(-61.027812957763671875), SC_(-68.31215667724609375), SC_(0.1545232378558417400408592895047673900682), SC_(0.8454767621441582599591407104952326099318) }},
|
||||
{{ SC_(51.019100189208984375), SC_(66.3248291015625), SC_(74.21913909912109375), SC_(0.8456541431034008370031368689430412936904), SC_(0.1543458568965991629968631310569587063096) }},
|
||||
{{ SC_(51.5017242431640625), SC_(77.25258636474609375), SC_(86.4451904296875), SC_(0.8474644525606726641165548052803633498981), SC_(0.1525355474393273358834451947196366501019) }},
|
||||
{{ SC_(55.205089569091796875), SC_(110.41017913818359375), SC_(123.955841064453125), SC_(0.8647754825744024885372806932758253507646), SC_(0.1352245174255975114627193067241746492354) }},
|
||||
{{ SC_(55.38466644287109375), SC_(-166.15399169921875), SC_(-188.0928497314453125), SC_(0.1176367155276893515668241466414954864808), SC_(0.8823632844723106484331758533585045135192) }},
|
||||
{{ SC_(55.699718475341796875), SC_(-222.7988739013671875), SC_(-254.2837982177734375), SC_(0.1019403002101509742082139198401058375579), SC_(0.8980596997898490257917860801598941624421) }},
|
||||
{{ SC_(57.167877197265625), SC_(285.839385986328125), SC_(331.14361572265625), SC_(0.9243557983861765858351445901197402396614), SC_(0.07564420161382341416485540988025976033856) }},
|
||||
{{ SC_(59.405956268310546875), SC_(-5.9405956268310546875), SC_(-8.3420429229736328125), SC_(0.02940324430636967427049432143992117341216), SC_(0.9705967556936303257295056785600788265878) }},
|
||||
{{ SC_(59.9664154052734375), SC_(14.991603851318359375), SC_(20.4055805206298828125), SC_(0.9951502301879146945725572007339419287614), SC_(0.004849769812085305427442799266058071238551) }},
|
||||
{{ SC_(60.3826904296875), SC_(-30.19134521484375), SC_(-42.621673583984375), SC_(0.0006766671899196952261749430708777551897478), SC_(0.9993233328100803047738250569291222448103) }},
|
||||
{{ SC_(61.63347625732421875), SC_(46.22510528564453125), SC_(68.86083984375), SC_(0.999921480846639591866272783169362504029), SC_(7.851915336040813372721683063749597101964e-05) }},
|
||||
{{ SC_(63.310153961181640625), SC_(56.979137420654296875), SC_(58.197040557861328125), SC_(0.5691117562119799871740176343388579182663), SC_(0.4308882437880200128259823656611420817337) }},
|
||||
{{ SC_(63.419963836669921875), SC_(-62.7857666015625), SC_(-64.99910736083984375), SC_(0.3738322953142596763505873683039233783243), SC_(0.6261677046857403236494126316960766216757) }},
|
||||
{{ SC_(66.48972320556640625), SC_(66.4232330322265625), SC_(70.19112396240234375), SC_(0.7119390284265793812685305565956948386364), SC_(0.2880609715734206187314694434043051613636) }},
|
||||
{{ SC_(67.42459869384765625), SC_(-67.42459869384765625), SC_(-72.7297515869140625), SC_(0.2148706954365362031394123362488999649409), SC_(0.7851293045634637968605876637511000350591) }},
|
||||
{{ SC_(68.07720947265625), SC_(-68.084014892578125), SC_(-74.32244873046875), SC_(0.1776439566292221945541793890548658391722), SC_(0.8223560433707778054458206109451341608278) }},
|
||||
{{ SC_(69.99681854248046875), SC_(-70.0668182373046875), SC_(-76.93597412109375), SC_(0.1577535764502030296887928772651871118171), SC_(0.8422464235497969703112071227348128881829) }},
|
||||
{{ SC_(70.33196258544921875), SC_(-71.0352783203125), SC_(-78.0343017578125), SC_(0.1558634226083869070482127670970449973749), SC_(0.8441365773916130929517872329029550026251) }},
|
||||
{{ SC_(70.55254364013671875), SC_(-77.6078033447265625), SC_(-85.2329864501953125), SC_(0.1556562126060282523263838362925862437733), SC_(0.8443437873939717476736161637074137562267) }},
|
||||
{{ SC_(71.26909637451171875), SC_(85.522918701171875), SC_(93.863372802734375), SC_(0.8443386617309688556005324345130120474997), SC_(0.1556613382690311443994675654869879525003) }},
|
||||
{{ SC_(72.2588653564453125), SC_(93.9365234375), SC_(103.01971435546875), SC_(0.844491406920337327662789045605334054664), SC_(0.155508593079662672337210954394665945336) }},
|
||||
{{ SC_(76.08922576904296875), SC_(114.1338348388671875), SC_(124.9094085693359375), SC_(0.8462455172091029135550405319225529771034), SC_(0.1537544827908970864449594680774470228966) }},
|
||||
{{ SC_(76.3117523193359375), SC_(152.623504638671875), SC_(168.1202545166015625), SC_(0.8642245358680997765157973865161523708951), SC_(0.1357754641319002234842026134838476291049) }},
|
||||
{{ SC_(77.4592437744140625), SC_(232.3777313232421875), SC_(257.64971923828125), SC_(0.8822460282057177670054617261080172681685), SC_(0.1177539717942822329945382738919827318315) }},
|
||||
{{ SC_(77.714019775390625), SC_(-310.8560791015625), SC_(-347.13818359375), SC_(0.1016627586995156636256699525275530770775), SC_(0.8983372413004843363743300474724469229225) }},
|
||||
{{ SC_(78.445465087890625), SC_(392.227325439453125), SC_(444.172149658203125), SC_(0.9251952554103925652189675447975151362173), SC_(0.0748047445896074347810324552024848637827) }},
|
||||
{{ SC_(78.46414947509765625), SC_(-7.846415042877197265625), SC_(-10.3206844329833984375), SC_(0.02908026560846077815486950206875373595512), SC_(0.9709197343915392218451304979312462640449) }},
|
||||
{{ SC_(78.9817047119140625), SC_(-19.745426177978515625), SC_(-25.6398372650146484375), SC_(0.00438383428342180536783922758878730206115), SC_(0.9956161657165781946321607724112126979388) }},
|
||||
{{ SC_(79.74776458740234375), SC_(-39.873882293701171875), SC_(-53.80655670166015625), SC_(0.0005228576912257536245328204786653287401733), SC_(0.9994771423087742463754671795213346712598) }},
|
||||
{{ SC_(80.84175872802734375), SC_(60.631317138671875), SC_(86.1278228759765625), SC_(0.9999494656184139932380947921912622194169), SC_(5.053438158600676190520780873778058313339e-05) }},
|
||||
{{ SC_(81.7462921142578125), SC_(73.57166290283203125), SC_(74.8529052734375), SC_(0.5655840801077873664237520358202778390053), SC_(0.4344159198922126335762479641797221609947) }},
|
||||
{{ SC_(82.53336334228515625), SC_(-81.70803070068359375), SC_(-84.10645294189453125), SC_(0.3772901925024934280799760328614783682602), SC_(0.6227098074975065719200239671385216317398) }},
|
||||
{{ SC_(84.3523101806640625), SC_(84.2679595947265625), SC_(88.38256072998046875), SC_(0.7095092141414201401595613557076085674612), SC_(0.2904907858585798598404386442923914325388) }},
|
||||
{{ SC_(84.41759490966796875), SC_(-84.41759490966796875), SC_(-90.21768951416015625), SC_(0.2163237673254140132965728518405243664117), SC_(0.7836762326745859867034271481594756335883) }},
|
||||
{{ SC_(84.63307952880859375), SC_(-84.64154052734375), SC_(-91.45754241943359375), SC_(0.1785481960614030672991952102246403868729), SC_(0.8214518039385969327008047897753596131271) }},
|
||||
{{ SC_(87.748931884765625), SC_(-87.8366851806640625), SC_(-95.3781280517578125), SC_(0.1583748894523595322365118318645909249134), SC_(0.8416251105476404677634881681354090750866) }},
|
||||
{{ SC_(89.1172943115234375), SC_(-90.0084686279296875), SC_(-97.72855377197265625), SC_(0.1564796419002191746060667690099037742646), SC_(0.8435203580997808253939332309900962257354) }},
|
||||
{{ SC_(91.2066192626953125), SC_(100.3272857666015625), SC_(108.81313323974609375), SC_(0.8436881491498766749138579299643346271245), SC_(0.1563118508501233250861420700356653728755) }},
|
||||
{{ SC_(91.5978851318359375), SC_(109.9174652099609375), SC_(119.18065643310546875), SC_(0.8436998684250685584554679000155809441252), SC_(0.1563001315749314415445320999844190558748) }},
|
||||
{{ SC_(93.87818145751953125), SC_(122.04163360595703125), SC_(132.1806793212890625), SC_(0.8438388267176051940156151919229634663964), SC_(0.1561611732823948059843848080770365336036) }},
|
||||
{{ SC_(94.6578216552734375), SC_(-141.986724853515625), SC_(-153.80615234375), SC_(0.1542575078724520656934634164864737570272), SC_(0.8457424921275479343065365835135262429728) }},
|
||||
{{ SC_(94.95178985595703125), SC_(-189.9035797119140625), SC_(-206.92413330078125), SC_(0.1360186009574374276611518252559314655877), SC_(0.8639813990425625723388481747440685344123) }},
|
||||
{{ SC_(97.0751800537109375), SC_(291.22552490234375), SC_(319.10357666015625), SC_(0.8822655381642828923075490778187253383656), SC_(0.1177344618357171076924509221812746616344) }},
|
||||
{{ SC_(97.51383209228515625), SC_(-390.055328369140625), SC_(-430.13201904296875), SC_(0.1014157604642255949734297362476750672209), SC_(0.8985842395357744050265702637523249327791) }},
|
||||
{{ SC_(97.9529266357421875), SC_(489.7646484375), SC_(547.08740234375), SC_(0.9257845109655273426610446674444422602715), SC_(0.0742154890344726573389553325555577397285) }},
|
||||
{{ SC_(98.11785888671875), SC_(-9.81178569793701171875), SC_(-12.3620128631591796875), SC_(0.02880258322680070072360530321279147954814), SC_(0.9711974167731992992763946967872085204519) }},
|
||||
{{ SC_(99.67285919189453125), SC_(24.9182147979736328125), SC_(31.296527862548828125), SC_(0.9959694490932389280305926013689480489171), SC_(0.004030550906761071969407398631051951082947) }},
|
||||
{{ SC_(100.7325897216796875), SC_(50.36629486083984375), SC_(65.76190185546875), SC_(0.9995760725264885593399305628081933864539), SC_(0.0004239274735114406600694371918066135461242) }},
|
||||
{{ SC_(101.19145965576171875), SC_(-75.89359283447265625), SC_(-104.10439300537109375), SC_(3.54024190807848363176773512852495399553e-05), SC_(0.99996459758091921516368232264871475046) }},
|
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|
||||
{{ SC_(191.0035247802734375), SC_(573.01055908203125), SC_(610.82342529296875), SC_(0.8825546776651612915449270809923133302827), SC_(0.1174453223348387084550729190076866697173) }},
|
||||
{{ SC_(191.4333953857421875), SC_(765.73358154296875), SC_(820.14422607421875), SC_(0.8994307655353378788627687172889911875494), SC_(0.1005692344646621211372312827110088124506) }},
|
||||
{{ SC_(191.501373291015625), SC_(-957.5068359375), SC_(-1035.4078369140625), SC_(0.07254550295882910100884475499526303225815), SC_(0.9274544970411708989911552450047369677418) }},
|
||||
{{ SC_(191.8582763671875), SC_(19.1858272552490234375), SC_(22.081790924072265625), SC_(0.9721242618485546393356290361951045322104), SC_(0.02787573815144536066437096380489546778959) }},
|
||||
{{ SC_(191.89849853515625), SC_(-47.9746246337890625), SC_(-56.171573638916015625), SC_(0.003221111566392305522573892879121826455479), SC_(0.9967788884336076944774261071208781735445) }},
|
||||
{{ SC_(191.9488067626953125), SC_(-95.97440338134765625), SC_(-116.54215240478515625), SC_(0.0002481260732563524200219933878692461610213), SC_(0.999751873926743647579978006612130753839) }},
|
||||
{{ SC_(192.9777069091796875), SC_(-144.7332763671875), SC_(-182.8341522216796875), SC_(1.358098637444654191572655104301270829943e-05), SC_(0.9999864190136255534580842734489569872917) }},
|
||||
{{ SC_(192.9932708740234375), SC_(-173.693939208984375), SC_(-175.2710113525390625), SC_(0.4434359641618019366789276090072593648763), SC_(0.5565640358381980633210723909927406351237) }},
|
||||
{{ SC_(193.5389862060546875), SC_(191.6035919189453125), SC_(194.821441650390625), SC_(0.6142723104748303441684413193877427660393), SC_(0.3857276895251696558315586806122572339607) }},
|
||||
{{ SC_(193.7735595703125), SC_(193.5797882080078125), SC_(199.3231201171875), SC_(0.7031303801855181023960454440247304541731), SC_(0.2968696198144818976039545559752695458269) }},
|
||||
{{ SC_(194.118560791015625), SC_(194.118560791015625), SC_(202.37158203125), SC_(0.7797728872340829673174837038355921015185), SC_(0.2202271127659170326825162961644078984815) }},
|
||||
{{ SC_(196.2219390869140625), SC_(-196.2415618896484375), SC_(-206.04248046875), SC_(0.1809237828594511737114522040101156011652), SC_(0.8190762171405488262885477959898843988348) }},
|
||||
{{ SC_(197.4919281005859375), SC_(-197.689422607421875), SC_(-208.4357757568359375), SC_(0.1597848828006174813168828984223774741925), SC_(0.8402151171993825186831171015776225258075) }},
|
||||
{{ SC_(197.704315185546875), SC_(199.6813507080078125), SC_(210.62042236328125), SC_(0.8422293832834955684228336504298493504347), SC_(0.1577706167165044315771663495701506495653) }},
|
||||
{{ SC_(198.576263427734375), SC_(-218.43389892578125), SC_(-230.3740386962890625), SC_(0.1575531385245673058508978138666145574355), SC_(0.8424468614754326941491021861333854425645) }},
|
||||
{{ SC_(198.8137054443359375), SC_(238.5764617919921875), SC_(251.6024322509765625), SC_(0.8424688825000982079679215138264048043475), SC_(0.1575311174999017920320784861735951956525) }},
|
||||
{{ SC_(199.292266845703125), SC_(-259.079925537109375), SC_(-273.21160888671875), SC_(0.1573382255153084153679636715700757369509), SC_(0.8426617744846915846320363284299242630491) }},
|
||||
{{ SC_(232.284637451171875), SC_(348.42694091796875), SC_(366.048248291015625), SC_(0.8445224219835303698101085035756072755625), SC_(0.1554775780164696301898914964243927244375) }},
|
||||
{{ SC_(290.68212890625), SC_(581.3642578125), SC_(609.58770751953125), SC_(0.8635682877769042305180745412047783757853), SC_(0.1364317122230957694819254587952216242147) }},
|
||||
/*
|
||||
//
|
||||
// These last few values are commented out, the complexity of the implementation
|
||||
// depends upon the square of the non-centrality parameter, so these both take
|
||||
@@ -225,5 +230,5 @@
|
||||
{{ SC_(5.348914843750000000000000000000000000000e4), SC_(-4.011685937500000000000000000000000000000e4), SC_(-4.073089843750000000000000000000000000000e4), SC_(3.883382003866549840825255916580316551597e-7), SC_(9.999996116617996133450159174744083419683e-1) }}
|
||||
*/
|
||||
}};
|
||||
#undef SC_
|
||||
//#undef SC_
|
||||
|
||||
|
||||
@@ -9,32 +9,58 @@
|
||||
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
|
||||
#endif
|
||||
static const boost::array<boost::array<T, 5>, 26> nct_asym = {{
|
||||
{{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(-0.481173217296600341796875), SC_(0.1749317497754352460810908541491372795891542325487), SC_(0.8250682502245647539189091458508627204108457674513) }},
|
||||
{{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(1.3978519439697265625), SC_(0.82745888213761221622777144575509830758765026825781), SC_(0.17254111786238778377222855424490169241234973174219) }},
|
||||
{{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(-0.5258305072784423828125), SC_(0.13707201688604064907083148328658590547016675560101), SC_(0.86292798311395935092916851671341409452983324439899) }},
|
||||
{{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(0.708383023738861083984375), SC_(0.55592460048261968604418681822217801676118984510485), SC_(0.44407539951738031395581318177782198323881015489515) }},
|
||||
{{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.123167514801025390625), SC_(0.88826935840310006680843037482396692978657176631796), SC_(0.11173064159689993319156962517603307021342823368204) }},
|
||||
{{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.3844356536865234375), SC_(0.93038224262142835995452986318222481740507172432515), SC_(0.069617757378571640045470136817775182594928275674854) }},
|
||||
{{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(4.6750431060791015625), SC_(0.84255780194329132905115240305424746317298104246855), SC_(0.15744219805670867094884759694575253682701895753145) }},
|
||||
{{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(5.042537689208984375), SC_(0.91504926091817108755289153804799207257503305462555), SC_(0.084950739081828912447108461952007927424966945374453) }},
|
||||
{{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(3.3889064788818359375), SC_(0.13156163646802619543156433884136170088487556815931), SC_(0.86843836353197380456843566115863829911512443184069) }},
|
||||
{{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(5.9973297119140625), SC_(0.93180682050435927369046460493686411555287073533266), SC_(0.068193179495640726309535395063135884447129264667335) }},
|
||||
{{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.14560699462890625), SC_(0.91844152246389020936377208106238904518645300898785), SC_(0.081558477536109790636227918937610954813546991012154) }},
|
||||
{{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.1575450897216796875), SC_(0.92022740765138483503818882082673489052943410104556), SC_(0.079772592348615164961811179173265109470565898954439) }},
|
||||
{{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(31.8541412353515625), SC_(0.89253589230213680868361632253582462638850083853234), SC_(0.10746410769786319131638367746417537361149916146766) }},
|
||||
{{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(32.01709747314453125), SC_(0.91970407450026572598532504589599032507374844769296), SC_(0.080295925499734274014674954104009674926251552307043) }},
|
||||
{{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.045928955078125), SC_(0.15217241315852103004776349323469720103276253578469), SC_(0.84782758684147896995223650676530279896723746421531) }},
|
||||
{{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.2361907958984375), SC_(0.20132472643110592660423913551748708698902279471476), SC_(0.79867527356889407339576086448251291301097720528524) }},
|
||||
{{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(104.8680572509765625), SC_(0.65434556985043816570960826185482905142969403857975), SC_(0.34565443014956183429039173814517094857030596142025) }},
|
||||
{{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(105.14849090576171875), SC_(0.75095977650749132960934905238656630719173158415557), SC_(0.24904022349250867039065094761343369280826841584443) }},
|
||||
{{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(166.869873046875), SC_(0.28247643026063070467278298745564297946418695359089), SC_(0.71752356973936929532721701254435702053581304640911) }},
|
||||
{{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(168.857147216796875), SC_(0.92099169494016061238522995952802645037178736022794), SC_(0.079008305059839387614770040471973549628212639772055) }},
|
||||
{{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(279.762969970703125), SC_(0.11364543011784098836896955307019184576823123795544), SC_(0.88635456988215901163103044692980815423176876204456) }},
|
||||
{{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(282.413665771484375), SC_(0.92553607281289461499104965729721028764390548597727), SC_(0.074463927187105385008950342702789712356094514022729) }},
|
||||
{{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(792.31842041015625), SC_(0.5563267401667033086322021527186481547238720682263), SC_(0.4436732598332966913677978472813518452761279317737) }},
|
||||
{{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(793.54827880859375), SC_(0.91489369852628004292795662749916567238372650186026), SC_(0.085106301473719957072043372500834327616273498139738) }},
|
||||
{{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.01171875), SC_(0.12091797523015676375913420093212297337117969426545), SC_(0.87908202476984323624086579906787702662882030573455) }},
|
||||
{{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.517578125), SC_(0.25316892936238242974380182772830364755920164172871), SC_(0.74683107063761757025619817227169635244079835827129) }}
|
||||
}};
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(-0.481173217296600341796875), SC_(0.1749317497754352460810908541491372795961), SC_(0.8250682502245647539189091458508627204039) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(1.3978519439697265625), SC_(0.8274588821376122162277714457550983075594), SC_(0.1725411178623877837722285542449016924406) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(-0.5258305072784423828125), SC_(0.137072016886040649070831483286585905479), SC_(0.862927983113959350929168516713414094521) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(0.708383023738861083984375), SC_(0.5559246004826196860441868182221780167692), SC_(0.4440753995173803139558131817778219832308) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.123167514801025390625), SC_(0.8882693584031000668084303748239669297654), SC_(0.1117306415968999331915696251760330702346) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.3844356536865234375), SC_(0.9303822426214283599545298631822248173919), SC_(0.06961775737857164004547013681777518260807) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(4.6750431060791015625), SC_(0.8425578019432913290511524030542472494835), SC_(0.1574421980567086709488475969457527505165) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(5.042537689208984375), SC_(0.9150492609181710875528915380479919580801), SC_(0.0849507390818289124471084619520080419199) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(3.3889064788818359375), SC_(0.1315616364680261954315643388413662819654), SC_(0.8684383635319738045684356611586337180346) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(5.9973297119140625), SC_(0.9318068205043592736904646049368541650795), SC_(0.06819317949564072630953539506314583492049) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.14560699462890625), SC_(0.9184415224638902093700154370631565086606), SC_(0.0815584775361097906299845629368434913394) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.1575450897216796875), SC_(0.9202274076513848350442954661220200244337), SC_(0.07977259234861516495570453387797997556627) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(31.8541412353515625), SC_(0.8925358923021368182439913320687256692925), SC_(0.1074641076978631817560086679312743307075) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(32.01709747314453125), SC_(0.9197040745002657331287255352320149526394), SC_(0.08029592549973426687127446476798504736059) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.045928955078125), SC_(0.1521724131585209944834925359607566667082), SC_(0.8478275868414790055165074640392433332918) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.2361907958984375), SC_(0.2013247264311058795525628652843168853591), SC_(0.7986752735688941204474371347156831146409) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(104.8680572509765625), SC_(0.6543455698504382615047321613444272080983), SC_(0.3456544301495617384952678386555727919017) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(105.14849090576171875), SC_(0.7509597765074913986286845057143011805994), SC_(0.2490402234925086013713154942856988194006) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(166.869873046875), SC_(0.282476430260630666593269871489755711666), SC_(0.717523569739369333406730128510244288334) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(168.857147216796875), SC_(0.9209916949401606230360222611032921583631), SC_(0.07900830505983937696397773889670784163691) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(279.762969970703125), SC_(0.1136454301178409824030586744778744965366), SC_(0.8863545698821590175969413255221255034634) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(282.413665771484375), SC_(0.925536072812894618900095122720786515015), SC_(0.07446392718710538109990487727921348498497) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(792.31842041015625), SC_(0.5563267401667033116954538049254109887097), SC_(0.4436732598332966883045461950745890112903) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(793.54827880859375), SC_(0.9148936985262800435155557510085117871517), SC_(0.08510630147371995648444424899148821284827) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.01171875), SC_(0.12091797523015676345221876051940031312), SC_(0.87908202476984323654778123948059968688) }},
|
||||
// Error in function boost::math::tgamma<N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE>(N5boost14multiprecision6numberINS0_8backends18mpfr_float_backendILj200ELNS0_20mpfr_allocation_typeE1EEELNS0_26expression_template_optionE1EEE): Overflow Error reverting to ibeta method
|
||||
{{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.517578125), SC_(0.253168929362382429101205445294879889774), SC_(0.746831070637617570898794554705120110226) }},
|
||||
}};
|
||||
//#undef SC_
|
||||
|
||||
|
||||
@@ -8,85 +8,85 @@
|
||||
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
|
||||
#endif
|
||||
static const boost::array<boost::array<T, 5>, 78> nct_small_delta = {{
|
||||
{{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(-0.043873153626918792724609375), SC_(0.48250276576722336046483816401534117826515884583867), SC_(0.51749723423277663953516183598465882173484115416133) }},
|
||||
{{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.729398787021636962890625), SC_(0.76712095847007040756161950500140014007502095546645), SC_(0.23287904152992959243838049499859985992497904453355) }},
|
||||
{{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.944172799587249755859375), SC_(0.82745910775138122060234718854881274437593644597231), SC_(0.17254089224861877939765281145118725562406355402769) }},
|
||||
{{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-1.09357059001922607421875), SC_(0.13707187615241828790447496643413251920933193961981), SC_(0.86292812384758171209552503356586748079066806038019) }},
|
||||
{{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-0.075724057853221893310546875), SC_(0.46981932920499526656408951192932529155640100686028), SC_(0.53018067079500473343591048807067470844359899313972) }},
|
||||
{{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(0.894318759441375732421875), SC_(0.8144241543253204424707276799726958127232605442998), SC_(0.1855758456746795575292723200273041872767394557002) }},
|
||||
{{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(-0.32331907749176025390625), SC_(0.37322681889304995092918136348422956501557638199648), SC_(0.62677318110695004907081863651577043498442361800352) }},
|
||||
{{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(0.900841772556304931640625), SC_(0.81616372411403034488699018804029514822710817134975), SC_(0.18383627588596965511300981195970485177289182865025) }},
|
||||
{{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(1.21737635135650634765625), SC_(0.88826940695840047354018486823128837280979546898275), SC_(0.11173059304159952645981513176871162719020453101725) }},
|
||||
{{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.608911812305450439453125), SC_(0.27129146314707937854382467984874644387201484012076), SC_(0.72870853685292062145617532015125355612798515987924) }},
|
||||
{{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.233737051486968994140625), SC_(0.40759456615456790965120565572754800087372105257581), SC_(0.59240543384543209034879434427245199912627894742419) }},
|
||||
{{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(1.0050258636474609375), SC_(0.84255777338099392090018173116713612691826495532429), SC_(0.15744222661900607909981826883286387308173504467571) }},
|
||||
{{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.11903965473175048828125), SC_(0.13156163653841524718807085637540033587741857268684), SC_(0.86843836346158475281192914362459966412258142731316) }},
|
||||
{{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.0743410587310791015625), SC_(0.14133494913380490957172969254766861098247075035799), SC_(0.85866505086619509042827030745233138901752924964201) }},
|
||||
{{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(0.466433703899383544921875), SC_(0.67954744448251303029682738870296370754546775710788), SC_(0.32045255551748696970317261129703629245453224289212) }},
|
||||
{{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-1.485649585723876953125), SC_(0.068685924351077450776106805057666756267354379116941), SC_(0.93131407564892254922389319494233324373264562088306) }},
|
||||
{{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-0.978404521942138671875), SC_(0.1639371522987393851111295873413950142583525211773), SC_(0.8360628477012606148888704126586049857416474788227) }},
|
||||
{{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(1.406603336334228515625), SC_(0.92022746964275550779312032818254511021364287700111), SC_(0.079772530357244492206879671817454889786357122998891) }},
|
||||
{{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.9864399433135986328125), SC_(0.16195863866320448164806483040777245446296140149356), SC_(0.83804136133679551835193516959222754553703859850644) }},
|
||||
{{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.2347161769866943359375), SC_(0.40721451480880048322798573509892024502193304263547), SC_(0.59278548519119951677201426490107975497806695736453) }},
|
||||
{{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(1.2401275634765625), SC_(0.89253588756079690951410755269677773042628883005293), SC_(0.10746411243920309048589244730322226957371116994707) }},
|
||||
{{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-1.1626064777374267578125), SC_(0.12249460282273418971343108523190852402322477087166), SC_(0.87750539717726581028656891476809147597677522912834) }},
|
||||
{{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.83689785003662109375), SC_(0.20132499540381076102236383246070664744644381565087), SC_(0.79867500459618923897763616753929335255355618434913) }},
|
||||
{{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.594260692596435546875), SC_(0.27616888228432564767719590034089174423793663334908), SC_(0.72383111771567435232280409965910825576206336665092) }},
|
||||
{{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.3970777988433837890625), SC_(0.65434494968481063069505183722213499438179132868887), SC_(0.34565505031518936930494816277786500561820867131113) }},
|
||||
{{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.61813831329345703125), SC_(0.73175791107603006961198160308845586981919324758164), SC_(0.26824208892396993038801839691154413018080675241836) }},
|
||||
{{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(1.24720668792724609375), SC_(0.8938391359252750533876681559850381133400744586929), SC_(0.1061608640747249466123318440149618866599255413071) }},
|
||||
{{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(-0.575498878955841064453125), SC_(0.28247696804790908448299598525508816339233446215666), SC_(0.71752303195209091551700401474491183660766553784334) }},
|
||||
{{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.4192900955677032470703125), SC_(0.66249792556950493924206051736760665840039674490309), SC_(0.33750207443049506075793948263239334159960325509691) }},
|
||||
{{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.891839683055877685546875), SC_(0.81376056011022270595841292021652342060820308429614), SC_(0.18623943988977729404158707978347657939179691570386) }},
|
||||
{{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.404501438140869140625), SC_(0.080084787472122488844415495242012312453561424134301), SC_(0.9199152125278775111555845047579876875464385758657) }},
|
||||
{{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.20737874507904052734375), SC_(0.11364315277765295082194817827847616199631048415041), SC_(0.88635684722234704917805182172152383800368951584959) }},
|
||||
{{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(0.8766219615936279296875), SC_(0.80965398752936883769527309841930163032620924932467), SC_(0.19034601247063116230472690158069836967379075067533) }},
|
||||
{{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(-0.550348579883575439453125), SC_(0.29104012336625227702044178467603355057145302194928), SC_(0.70895987663374772297955821532396644942854697805072) }},
|
||||
{{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(0.1416618525981903076171875), SC_(0.55632640945989957068387202865702682448619885466383), SC_(0.44367359054010042931612797134297317551380114533617) }},
|
||||
{{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(1.13529217243194580078125), SC_(0.87187352013277999854694556458228781398877720084173), SC_(0.12812647986722000145305443541771218601122279915827) }},
|
||||
{{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.669230878353118896484375), SC_(0.25167405732584667576513293514194252242977450905894), SC_(0.74832594267415332423486706485805747757022549094106) }},
|
||||
{{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.66450512409210205078125), SC_(0.25318348652085408643723791160561950141473919546181), SC_(0.74681651347914591356276208839438049858526080453819) }},
|
||||
{{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(1.37847745418548583984375), SC_(0.9159720143264452800722709073773563686088927059612), SC_(0.084027985673554719927729092622643631391107294038796) }},
|
||||
{{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(-0.9348537921905517578125), SC_(0.17493175360129918436210468793967574035560766123375), SC_(0.82506824639870081563789531206032425964439233876625) }},
|
||||
{{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(0.01098839938640594482421875), SC_(0.50438353586498884681723519205661827951453610911603), SC_(0.49561646413501115318276480794338172048546389088397) }},
|
||||
{{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(1.11728668212890625), SC_(0.86806405541813070462577859975991426774401640081913), SC_(0.13193594458186929537422140024008573225598359918087) }},
|
||||
{{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(-1.36148512363433837890625), SC_(0.086680099352107115152692238918143641020516123095345), SC_(0.91331990064789288484730776108185635897948387690466) }},
|
||||
{{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.1406452357769012451171875), SC_(0.55592460342263048867879490949555684169178196778873), SC_(0.44407539657736951132120509050444315830821803221127) }},
|
||||
{{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.4672227799892425537109375), SC_(0.6798294875609898291245772837764000326600691290926), SC_(0.3201705124390101708754227162235999673399308709074) }},
|
||||
{{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(-1.0526561737060546875), SC_(0.14624886521046919412989626895906939222407293206212), SC_(0.85375113478953080587010373104093060777592706793788) }},
|
||||
{{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(0.893787801265716552734375), SC_(0.81428177283808104910080873651678647035668255855401), SC_(0.18571822716191895089919126348321352964331744144599) }},
|
||||
{{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(1.478645801544189453125), SC_(0.9303822435208431945428692571159084817569960338472), SC_(0.069617756479156805457130742884091518243003966152798) }},
|
||||
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{{ SC_(19005597696.0), SC_(1.90055970961111597716808319091796875e-06), SC_(0.893787801265716552734375), SC_(0.814281772838081049100808736516780779269), SC_(0.185718227161918950899191263483219220731) }},
|
||||
{{ SC_(19005597696.0), SC_(1.90055970961111597716808319091796875e-06), SC_(1.478645801544189453125), SC_(0.9303822435208431945428692571159022740881), SC_(0.06961775647915680545713074288409772591194) }},
|
||||
{{ SC_(37336477696.0), SC_(3.7336476452765055000782012939453125e-06), SC_(-1.39286124706268310546875), SC_(0.0818303119520303869509585286994936674797), SC_(0.9181696880479696130490414713005063325203) }},
|
||||
{{ SC_(37336477696.0), SC_(3.7336476452765055000782012939453125e-06), SC_(-1.2086009979248046875), SC_(0.113407368876991872932626626889765395472), SC_(0.886592631123008127067373373110234604528) }},
|
||||
{{ SC_(37336477696.0), SC_(3.7336476452765055000782012939453125e-06), SC_(1.37252414226531982421875), SC_(0.9150492549786484724511773932492870028366), SC_(0.08495074502135152754882260675071299716335) }},
|
||||
{{ SC_(76158959616.0), SC_(7.615895810886286199092864990234375e-06), SC_(-0.4161103665828704833984375), SC_(0.3386618359579220979415310964529371660134), SC_(0.6613381640420779020584689035470628339866) }},
|
||||
{{ SC_(76158959616.0), SC_(7.615895810886286199092864990234375e-06), SC_(1.48221313953399658203125), SC_(0.9308571913510816463315576068591806750488), SC_(0.06914280864891835366844239314081932495122) }},
|
||||
{{ SC_(76158959616.0), SC_(7.615895810886286199092864990234375e-06), SC_(1.4893915653228759765625), SC_(0.9318068536518751363352157512760846671316), SC_(0.06819314634812486366478424872391533286842) }},
|
||||
{{ SC_(149909094400.0), SC_(1.49909101310186088085174560546875e-05), SC_(0.97038853168487548828125), SC_(0.834069833759882506302253847329759649166), SC_(0.165930166240117493697746152670240350834) }},
|
||||
{{ SC_(149909094400.0), SC_(1.49909101310186088085174560546875e-05), SC_(1.04740297794342041015625), SC_(0.8525396650136708308993275539706591504669), SC_(0.1474603349863291691006724460293408495331) }},
|
||||
{{ SC_(149909094400.0), SC_(1.49909101310186088085174560546875e-05), SC_(1.394680500030517578125), SC_(0.9184416348016342979766918182760341563023), SC_(0.08155836519836570202330818172396584369768) }},
|
||||
{{ SC_(300246401024.0), SC_(3.00246392725966870784759521484375e-05), SC_(-0.864196956157684326171875), SC_(0.1937316066765185395026371216270573424149), SC_(0.8062683933234814604973628783729426575851) }},
|
||||
{{ SC_(300246401024.0), SC_(3.00246392725966870784759521484375e-05), SC_(0.965739905834197998046875), SC_(0.8329053131719135784656498787010253011748), SC_(0.1670946868280864215343501212989746988252) }},
|
||||
{{ SC_(300246401024.0), SC_(3.00246392725966870784759521484375e-05), SC_(1.403114795684814453125), SC_(0.9197042190755344208536147279381751998829), SC_(0.08029578092446557914638527206182480011712) }},
|
||||
{{ SC_(353275379712.0), SC_(3.532753908075392246246337890625e-05), SC_(-1.02712547779083251953125), SC_(0.1521723753068302116636565588737811753928), SC_(0.8478276246931697883363434411262188246072) }},
|
||||
{{ SC_(353275379712.0), SC_(3.532753908075392246246337890625e-05), SC_(0.584521234035491943359375), SC_(0.7205532777382819909101143616466046239123), SC_(0.2794467222617180090898856383533953760877) }},
|
||||
{{ SC_(353275379712.0), SC_(3.532753908075392246246337890625e-05), SC_(1.30201494693756103515625), SC_(0.9035383236322879991288114211328768512822), SC_(0.09646167636771200087118857886712314871776) }},
|
||||
{{ SC_(1053368320000.0), SC_(0.0001053368323482573032379150390625), SC_(-1.12434637546539306640625), SC_(0.1304107223257610650575937099270536944144), SC_(0.8695892776742389349424062900729463055856) }},
|
||||
{{ SC_(1053368320000.0), SC_(0.0001053368323482573032379150390625), SC_(0.544183909893035888671875), SC_(0.7068062977291556785621484110283858020091), SC_(0.2931937022708443214378515889716141979909) }},
|
||||
{{ SC_(1053368320000.0), SC_(0.0001053368323482573032379150390625), SC_(0.67762219905853271484375), SC_(0.7509609624583321077439816304130233892785), SC_(0.2490390375416678922560183695869766107215) }},
|
||||
{{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(-0.54846096038818359375), SC_(0.2916051544582129010961521165853275280137), SC_(0.7083948455417870989038478834146724719863) }},
|
||||
{{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(0.53644597530364990234375), SC_(0.7040917075185122379649628500688822419283), SC_(0.2959082924814877620350371499311177580717) }},
|
||||
{{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(1.4120190143585205078125), SC_(0.9209923991622001088782396433884531598574), SC_(0.07900760083779989112176035661154684014255) }},
|
||||
{{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(-0.30330073833465576171875), SC_(0.380646073287868333291294347209201265689), SC_(0.619353926712131666708705652790798734311) }},
|
||||
{{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(0.79173374176025390625), SC_(0.7856009614299177306505267240009140506791), SC_(0.2143990385700822693494732759990859493209) }},
|
||||
{{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(1.44381272792816162109375), SC_(0.9255361011335089508559367692887983799345), SC_(0.07446389886649104914406323071120162006548) }},
|
||||
{{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(0.774176061153411865234375), SC_(0.7803040264394705352529458839294094504263), SC_(0.2196959735605294647470541160705905495737) }},
|
||||
{{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.35162198543548583984375), SC_(0.9115988299504571375696183470124964454498), SC_(0.0884011700495428624303816529875035545502) }},
|
||||
{{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.37245666980743408203125), SC_(0.9148905874291396376459013616831711410373), SC_(0.08510941257086036235409863831682885896268) }},
|
||||
{{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-1.1693308353424072265625), SC_(0.1209170645566716028407408585332405497975), SC_(0.8790829354433283971592591414667594502025) }},
|
||||
{{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-0.02714899368584156036376953125), SC_(0.4887382214922829621435709341922418354666), SC_(0.5112617785077170378564290658077581645334) }},
|
||||
{{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(0.723025619983673095703125), SC_(0.7648348608173275508885803152241488424013), SC_(0.2351651391826724491114196847758511575987) }},
|
||||
}};
|
||||
//#undef SC_
|
||||
|
||||
|
||||
|
||||
85
test/test_nc_t_quad.cpp
Normal file
85
test/test_nc_t_quad.cpp
Normal file
@@ -0,0 +1,85 @@
|
||||
// test_nc_t.cpp
|
||||
|
||||
// Copyright John Maddock 2008, 2012.
|
||||
// Copyright Paul A. Bristow 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)
|
||||
|
||||
#include <pch.hpp> // Need to include lib/math/test in path.
|
||||
|
||||
#ifdef _MSC_VER
|
||||
#pragma warning (disable:4127 4512)
|
||||
#endif
|
||||
|
||||
#include <boost/math/tools/test.hpp>
|
||||
#include <boost/math/concepts/real_concept.hpp> // for real_concept
|
||||
#include <boost/math/distributions/non_central_t.hpp> // for chi_squared_distribution.
|
||||
#include <boost/math/distributions/normal.hpp> // for normal distribution (for comparison).
|
||||
#include <boost/multiprecision/cpp_bin_float.hpp> // for normal distribution (for comparison).
|
||||
|
||||
#define BOOST_TEST_MAIN
|
||||
#include <boost/test/included/unit_test.hpp> // for test_main
|
||||
#include <boost/test/results_collector.hpp>
|
||||
#include <boost/test/unit_test.hpp>
|
||||
#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
|
||||
|
||||
#define SC_(x) static_cast<T>(BOOST_STRINGIZE(x))
|
||||
|
||||
#include "functor.hpp"
|
||||
#include "handle_test_result.hpp"
|
||||
#include "table_type.hpp"
|
||||
#include "test_nc_t.hpp"
|
||||
|
||||
#include <iostream>
|
||||
#include <iomanip>
|
||||
using std::cout;
|
||||
using std::endl;
|
||||
#include <limits>
|
||||
using std::numeric_limits;
|
||||
|
||||
|
||||
void expected_results()
|
||||
{
|
||||
//
|
||||
// Define the max and mean errors expected for
|
||||
// various compilers and platforms.
|
||||
//
|
||||
add_expected_result(
|
||||
"[^|]*", // compiler
|
||||
"[^|]*", // stdlib
|
||||
"[^|]*", // platform
|
||||
"cpp_bin_float_quad", // test type(s)
|
||||
".*large parameters.*", // test data group
|
||||
"[^|]*", 300000, 100000); // test function
|
||||
add_expected_result(
|
||||
"[^|]*", // compiler
|
||||
"[^|]*", // stdlib
|
||||
"[^|]*", // platform
|
||||
"cpp_bin_float_quad", // test type(s)
|
||||
"[^|]*", // test data group
|
||||
"[^|]*", 250, 50); // test function
|
||||
|
||||
//
|
||||
// Finish off by printing out the compiler/stdlib/platform names,
|
||||
// we do this to make it easier to mark up expected error rates.
|
||||
//
|
||||
std::cout << "Tests run with " << BOOST_COMPILER << ", "
|
||||
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
|
||||
}
|
||||
|
||||
|
||||
BOOST_AUTO_TEST_CASE( test_main )
|
||||
{
|
||||
BOOST_MATH_CONTROL_FP;
|
||||
// Basic sanity-check spot values.
|
||||
expected_results();
|
||||
|
||||
test_spots(boost::multiprecision::cpp_bin_float_quad(0));
|
||||
test_accuracy(boost::multiprecision::cpp_bin_float_quad(0), "cpp_bin_float_quad");
|
||||
// double precision tests only:
|
||||
//test_big_df(boost::multiprecision::cpp_bin_float_quad(0));
|
||||
} // BOOST_AUTO_TEST_CASE( test_main )
|
||||
|
||||
202
tools/nc_t_data.cpp
Normal file
202
tools/nc_t_data.cpp
Normal file
@@ -0,0 +1,202 @@
|
||||
// (C) Copyright John Maddock 2021.
|
||||
// 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)
|
||||
|
||||
//
|
||||
// As detailed in https://github.com/boostorg/math/issues/544
|
||||
// our original non-central T test data wasn't accurate past about
|
||||
// 20 decimal places. This data generator takes the original input
|
||||
// values and generates new CDF and CDF-complement values via
|
||||
// tanh_sinh integration - an option that wasn't available when
|
||||
// the original values were generated back in 2008.
|
||||
//
|
||||
// Note that this code will take SEVERAL DAYS to run on typical
|
||||
// 2021 hardware.
|
||||
//
|
||||
|
||||
#include <boost/math/special_functions/gamma.hpp>
|
||||
#include <boost/math/special_functions/beta.hpp>
|
||||
#include <boost/math/special_functions/hypergeometric_1F1.hpp>
|
||||
#include <boost/math/constants/constants.hpp>
|
||||
#include <boost/math/quadrature/exp_sinh.hpp>
|
||||
#include <boost/multiprecision/cpp_bin_float.hpp>
|
||||
#include <boost/multiprecision/mpfr.hpp>
|
||||
#include <fstream>
|
||||
|
||||
#include <libs/math/test/table_type.hpp>
|
||||
|
||||
using namespace boost::math::tools;
|
||||
using namespace boost::math;
|
||||
using namespace std;
|
||||
using namespace boost::multiprecision;
|
||||
|
||||
//using big_t = number<cpp_bin_float<200, digit_base_10, void, long long>>;
|
||||
using big_t = number<mpfr_float_backend<200>>;
|
||||
|
||||
big_t nct_A(big_t v, big_t x, big_t nu)
|
||||
{
|
||||
big_t result = boost::math::hypergeometric_1F1(v / 2 + 1, big_t(3) / 2, nu * nu * x * x / (2 * (v + x * x)));
|
||||
result *= boost::math::constants::root_two<big_t>() * nu * x;
|
||||
result /= (v + x * x) * boost::math::tgamma((v + 1) / 2);
|
||||
return result;
|
||||
}
|
||||
big_t nct_B(big_t v, big_t x, big_t nu)
|
||||
{
|
||||
big_t result = boost::math::hypergeometric_1F1((v + 1) / 2, big_t(1) / 2, nu * nu * x * x / (2 * (x * x + v)));
|
||||
result /= sqrt(v + x * x) * boost::math::tgamma(v / 2 + 1);
|
||||
return result;
|
||||
}
|
||||
big_t nct_PDF(big_t v, big_t nu, big_t x)
|
||||
{
|
||||
big_t result = nct_A(v, x, nu) + nct_B(v, x, nu);
|
||||
result *= pow(v, v / 2) * boost::math::tgamma(v + 1);
|
||||
result /= pow(big_t(2), v) * exp(nu * nu / 2) * pow(v + x * x, v / 2) * boost::math::tgamma(v / 2);
|
||||
return result;
|
||||
}
|
||||
|
||||
big_t nc_t_F(big_t v, big_t nc, big_t t)
|
||||
{
|
||||
unsigned j = 0;
|
||||
big_t sum = 0;
|
||||
big_t tol = std::numeric_limits<big_t>::epsilon();
|
||||
do
|
||||
{
|
||||
big_t x = t * t / (t * t + v);
|
||||
big_t p = exp(-nc * nc / 2) * pow(nc * nc / 2, j) / (2 * boost::math::factorial<big_t>(j));
|
||||
big_t q = (nc / 2) * exp(-nc * nc / 2) * pow(nc * nc / 2, j) / (boost::math::constants::root_two<big_t>() * boost::math::tgamma(j + big_t(3) / 2));
|
||||
big_t term = p * boost::math::ibeta(big_t(j) + 0.5, v / 2, x) + q * boost::math::ibeta(big_t(j + 1), v / 2, x);
|
||||
++j;
|
||||
|
||||
sum += term;
|
||||
|
||||
if (fabs(sum * tol) > fabs(term))
|
||||
break;
|
||||
} while (true);
|
||||
|
||||
return sum + boost::math::constants::half<big_t>() * (1 + boost::math::erf(-nc / boost::math::constants::root_two<big_t>()));
|
||||
}
|
||||
big_t nc_t(big_t v, big_t nc, big_t t)
|
||||
{
|
||||
return t < 0 ? 1 - nc_t_F(v, -nc, t) : nc_t_F(v, nc, t);
|
||||
}
|
||||
|
||||
#define SC_(x) BOOST_JOIN(x, f)
|
||||
|
||||
int main(int, char* [])
|
||||
{
|
||||
mpfr_set_emax(mpfr_get_emax_max());
|
||||
mpfr_set_emin(mpfr_get_emin_min());
|
||||
|
||||
boost::math::quadrature::exp_sinh<big_t> integrator(10);
|
||||
using T = float;
|
||||
|
||||
#include <libs/math/test/nct.ipp>
|
||||
|
||||
|
||||
for (unsigned i = 0; i < nct.size(); ++i)
|
||||
{
|
||||
big_t error1, error2;
|
||||
big_t v(nct[i][0]), nc(nct[i][1]), x(nct[i][2]);
|
||||
big_t cdf, ccdf;
|
||||
try{
|
||||
cdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, -std::numeric_limits<big_t>::infinity(), x, big_t(1e-36), &error1);
|
||||
ccdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, x, std::numeric_limits<big_t>::infinity(), big_t(1e-36), &error2);
|
||||
}
|
||||
catch(const std::exception& e)
|
||||
{
|
||||
std::cout << "// " << e.what() << " reverting to ibeta method" << std::endl;
|
||||
error1 = error2 = 0;
|
||||
cdf = nc_t(v, nc, x);
|
||||
ccdf = 1 - cdf;
|
||||
}
|
||||
|
||||
if (error1 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for cdf was " << error1 << " reverting to ibeta method" << std::endl;
|
||||
cdf = nc_t(v, nc, x);
|
||||
}
|
||||
if (error2 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for complement cdf was " << error2 << " reverting to ibeta method" << std::endl;
|
||||
ccdf = 1 - nc_t(v, nc, x);
|
||||
}
|
||||
|
||||
std::cout << std::setprecision(40);
|
||||
std::cout << "{{ SC_(" << nct[i][0] << "), SC_(" << nct[i][1] << "), SC_(" << nct[i][2] << "), SC_(";
|
||||
std::cout << cdf << "), SC_(" << ccdf << ") }}," << std::endl;
|
||||
}
|
||||
|
||||
#include <libs/math/test/nct_small_delta.ipp>
|
||||
for (unsigned i = 0; i < nct_small_delta.size(); ++i)
|
||||
{
|
||||
big_t error1, error2;
|
||||
big_t v(nct_small_delta[i][0]), nc(nct_small_delta[i][1]), x(nct_small_delta[i][2]);
|
||||
big_t cdf, ccdf;
|
||||
try {
|
||||
cdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, -std::numeric_limits<big_t>::infinity(), x, big_t(1e-36), &error1);
|
||||
ccdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, x, std::numeric_limits<big_t>::infinity(), big_t(1e-36), &error2);
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
std::cout << "// " << e.what() << " reverting to ibeta method" << std::endl;
|
||||
error1 = error2 = 0;
|
||||
cdf = nc_t(v, nc, x);
|
||||
ccdf = 1 - cdf;
|
||||
}
|
||||
|
||||
if (error1 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for cdf was " << error1 << " reverting to ibeta method" << std::endl;
|
||||
cdf = nc_t(v, nc, x);
|
||||
}
|
||||
if (error2 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for complement cdf was " << error2 << " reverting to ibeta method" << std::endl;
|
||||
ccdf = 1 - nc_t(v, nc, x);
|
||||
}
|
||||
|
||||
std::cout << std::setprecision(40);
|
||||
std::cout << "{{ SC_(" << v << "), SC_(" << nc << "), SC_(" << x << "), SC_(";
|
||||
std::cout << cdf << "), SC_(" << ccdf << ") }}," << std::endl;
|
||||
}
|
||||
|
||||
#include "../test/nct_asym.ipp"
|
||||
for (unsigned i = 0; i < nct_asym.size(); ++i)
|
||||
{
|
||||
big_t error1, error2;
|
||||
big_t v(nct_asym[i][0]), nc(nct_asym[i][1]), x(nct_asym[i][2]);
|
||||
big_t cdf, ccdf;
|
||||
try {
|
||||
cdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, -std::numeric_limits<big_t>::infinity(), x, big_t(1e-36), &error1);
|
||||
ccdf = integrator.integrate([&](big_t y) { return nct_PDF(v, nc, y); }, x, std::numeric_limits<big_t>::infinity(), big_t(1e-36), &error2);
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
std::cout << "// " << e.what() << " reverting to ibeta method" << std::endl;
|
||||
error1 = error2 = 0;
|
||||
cdf = nc_t(v, nc, x);
|
||||
ccdf = 1 - cdf;
|
||||
}
|
||||
|
||||
if (error1 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for cdf was " << error1 << " reverting to ibeta method" << std::endl;
|
||||
cdf = nc_t(v, nc, x);
|
||||
}
|
||||
if (error2 > 1e-35)
|
||||
{
|
||||
std::cout << "// Accuracy for complement cdf was " << error2 << " reverting to ibeta method" << std::endl;
|
||||
ccdf = 1 - nc_t(v, nc, x);
|
||||
}
|
||||
|
||||
std::cout << std::setprecision(40);
|
||||
std::cout << "{{ SC_(" << v << "), SC_(" << nc << "), SC_(" << x << "), SC_(";
|
||||
std::cout << cdf << "), SC_(" << ccdf << ") }}," << std::endl;
|
||||
}
|
||||
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user