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79 lines
47 KiB
C++
79 lines
47 KiB
C++
// Copyright John Maddock 2014
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
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#include <boost/math/concepts/real_concept.hpp>
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#include <boost/math/special_functions/math_fwd.hpp>
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <boost/test/floating_point_comparison.hpp>
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#include <boost/math/tools/stats.hpp>
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#include <boost/math/tools/test.hpp>
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#include <boost/math/constants/constants.hpp>
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#include <boost/type_traits/is_floating_point.hpp>
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#include <boost/array.hpp>
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#include "functor.hpp"
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#include "handle_test_result.hpp"
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#include "table_type.hpp"
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#ifndef SC_
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#ifndef BOOST_FLOAT128_C
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#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
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#else
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#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
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#endif
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#endif
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template <class Real, class T>
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void do_test_trigamma(const T& data, const char* type_name, const char* test_name)
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{
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#if !(defined(ERROR_REPORTING_MODE) && !defined(TRIGAMMA_RATIO_FUNCTION_TO_TEST))
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typedef Real value_type;
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typedef value_type(*pg)(value_type);
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#ifdef TRIGAMMA_RATIO_FUNCTION_TO_TEST
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pg funcp = TRIGAMMA_RATIO_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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pg funcp = boost::math::trigamma<value_type>;
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#else
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pg funcp = boost::math::trigamma;
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#endif
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boost::math::tools::test_result<value_type> result;
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std::cout << "Testing " << test_name << " with type " << type_name
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<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
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//
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// test trigamma against data:
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//
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(1));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "trigamma", test_name);
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std::cout << std::endl;
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#endif
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}
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template <class T>
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void test_trigamma(T, const char* name)
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{
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typedef typename table_type<T>::type value_type;
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boost::array<boost::array<value_type, 3>, 659> data =
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{ {
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{ SC_(1.0), SC_(1.6449340668482264364724151666460252) }, { SC_(2.0), SC_(0.64493406684822643647241516664602519) }, { SC_(3.0), SC_(0.39493406684822643647241516664602519) }, { SC_(4.0), SC_(0.28382295573711532536130405553491408) }, { SC_(5.0), SC_(0.22132295573711532536130405553491408) }, { SC_(6.0), SC_(0.18132295573711532536130405553491408) }, { SC_(7.0), SC_(0.15354517795933754758352627775713630) }, { SC_(8.0), SC_(0.13313701469403142513454668592040161) }, { SC_(9.0), SC_(0.11751201469403142513454668592040161) }, { SC_(10.0), SC_(0.10516633568168574612220100690805593) }, { SC_(11.0), SC_(0.095166335681685746122201006908055927) }, { SC_(12.0), SC_(0.086901872871768390750300180461774936) }, { SC_(13.0), SC_(0.079957428427323946305855736017330491) }, { SC_(14.0), SC_(0.074040268664010336838400114715555343) }, { SC_(15.0), SC_(0.068938227847683806226155216756371670) }, { SC_(16.0), SC_(0.064493783403239361781710772311927225) }, { SC_(17.0), SC_(0.060587533403239361781710772311927225) }, { SC_(18.0), SC_(0.057127325790782614376866481654487779) }, { SC_(19.0), SC_(0.054040906037696194623780061901401359) }, { SC_(20.0), SC_(0.051270822935203119831536294588381969) }, { SC_(21.0), SC_(0.048770822935203119831536294588381969) }, { SC_(22.0), SC_(0.046503249239057995114983006606522558) }, { SC_(23.0), SC_(0.044437133536578656272007799994952310) }, { SC_(24.0), SC_(0.042546774368336690298472828350339834) }, { SC_(25.0), SC_(0.040810663257225579187361717239228723) }, { SC_(26.0), SC_(0.039210663257225579187361717239228723) }, { SC_(27.0), SC_(0.037731373316397176820497811913784936) }, { SC_(28.0), SC_(0.036359631203914323596903847579079860) }, { SC_(29.0), SC_(0.035084120999832690943842623089283942) }, { SC_(30.0), SC_(0.033895060357739944213759388844337450) }, { SC_(31.0), SC_(0.032783949246628833102648277733226339) }, { SC_(32.0), SC_(0.031743366520302090126581680438741427) }, { SC_(33.0), SC_(0.030766804020302090126581680438741427) }, { SC_(34.0), SC_(0.029848530374755717307481588611376873) }, { SC_(35.0), SC_(0.028983478471641530456270515947017011) }, { SC_(36.0), SC_(0.028167151941029285558311332273547623) }, { SC_(37.0), SC_(0.027395547002757680620039727335276018) }, { SC_(38.0), SC_(0.026665086812838031240930888766977990) }, { SC_(39.0), SC_(0.025972566037214762542869946938723143) }, { SC_(40.0), SC_(0.025315103841291028157597100127414793) }, { SC_(41.0), SC_(0.024690103841291028157597100127414793) }, { SC_(42.0), SC_(0.024095219843670564148078956165487369) }, { SC_(43.0), SC_(0.023528326419634282968940634170022516) }, { SC_(44.0), SC_(0.022987493536995018501661023569698017) }, { SC_(45.0), SC_(0.022470964611375183790917221916805455) }, { SC_(46.0), SC_(0.021977137450881356630423394756311627) }, { SC_(47.0), SC_(0.021504547658820865137039651845158508) }, { SC_(48.0), SC_(0.021051854132338293837809230840178880) }, { SC_(49.0), SC_(0.020617826354560516060031453062401102) }, { SC_(50.0), SC_(0.020201333226697125805970645065733047) }, { SC_(51.0), SC_(0.019801333226697125805970645065733047) }, { SC_(52.0), SC_(0.019416865714201931649876834992684219) }, { SC_(53.0), SC_(0.019047043228994831058160858661323273) }, { SC_(54.0), SC_(0.018691044652989135080944767525687815) }, { SC_(55.0), SC_(0.018348109124868421775046276442011546) }, { SC_(56.0), SC_(0.018017530612471727560170243384160307) }, { SC_(57.0), SC_(0.017698653061451319396904937261711327) }, { SC_(58.0), SC_(0.017390866050063199975544518671375839) }, { SC_(59.0), SC_(0.017093600889540013293023710110139216) }, { SC_(60.0), SC_(0.016806327117635388185296045645904801) }, { SC_(61.0), SC_(0.016528549339857610407518267868127023) }, { SC_(62.0), SC_(0.016259804378825629757155462170733849) }, { SC_(63.0), SC_(0.015999658697243944013138812847112621) }, { SC_(64.0), SC_(0.015747706064338930155744003071350465) }, { SC_(65.0), SC_(0.015503565439338930155744003071350465) }, { SC_(66.0), SC_(0.015266879048806385777045778219279459) }, { SC_(67.0), SC_(0.015037310637419792572270755262438320) }, { SC_(68.0), SC_(0.014814543874220861852734110129892096) }, { SC_(69.0), SC_(0.014598280898442315139931341963802130) }, { SC_(70.0), SC_(0.014388240990859874476205234003289633) }, { SC_(71.0), SC_(0.014184159358206813251715438084922286) }, { SC_(72.0), SC_(0.013985786019583524221761063952805643) }, { SC_(73.0), SC_(0.013792884785015622987193162718237741) }, { SC_(74.0), SC_(0.013605232317385673653359422804557876) }, { SC_(75.0), SC_(0.013422617269905761308582213162483370) }, { SC_(76.0), SC_(0.013244839492127983530804435384705592) }, { SC_(77.0), SC_(0.013071709298222166356289199927641880) }, { SC_(78.0), SC_(0.012903046791897322369107550408330023) }, { SC_(79.0), SC_(0.012738681242916388772789338705502935) }, { SC_(80.0), SC_(0.012578450510661942369969277817824679) }, { SC_(81.0), SC_(0.012422200510661942369969277817824679) }, { SC_(82.0), SC_(0.012269784720386069789569948447301893) }, { SC_(83.0), SC_(0.012121063720980953787190412456820037) }, { SC_(84.0), SC_(0.011975904771931744903462730645236352) }, { SC_(85.0), SC_(0.011834181415922674608678150146370139) }, { SC_(86.0), SC_(0.011695773111424404712484378520072561) }, { SC_(87.0), SC_(0.011560564890764588595664475869991436) }, { SC_(88.0), SC_(0.011428447041643172292321894287219604) }, { SC_(89.0), SC_(0.011299314810238213614635943873996463) }, { SC_(90.0), SC_(0.011173068124213721757547192453721246) }, { SC_(91.0), SC_(0.011049611334090264967423735663597789) }, { SC_(92.0), SC_(0.010928852971573660692577702575806459) }, { SC_(93.0), SC_(0.010810705523558537819231766848018180) }, { SC_(94.0), SC_(0.010695085220633344155224367148630967) }, { SC_(95.0), SC_(0.010581911839012701330416761897386060) }, { SC_(96.0), SC_(0.010471108514912978338727011204865284) }, { SC_(97.0), SC_(0.010362601570468533894282566760420840) }, { SC_(98.0), SC_(0.010256320350360127049771991779020053) }, { SC_(99.0), SC_(0.010152197068394279486256789779853040) }, { SC_(100.0), SC_(0.010050166663333571395245668465701423) }, { SC_(101.0), SC_(0.0099501666633335713952456684657014225) }, { SC_(102.0), SC_(0.0098521370583928793062347871795530057) }, { SC_(103.0), SC_(0.0097560201802690807672113346612907989) }, { SC_(104.0), SC_(0.0096617605893557053312607266869294076) }, { SC_(105.0), SC_(0.0095693049680539301833317326040891709) }, { SC_(106.0), SC_(0.0094786020202081251946696010848147945) }, { SC_(107.0), SC_(0.0093896023762067012003655783009059301) }, { SC_(108.0), SC_(0.0093022585033793800369451922409880334) }, { SC_(109.0), SC_(0.0092165246213492017104705694700689662) }, { SC_(110.0), SC_(0.0091323566220225457050838175131629818) }, { SC_(111.0), SC_(0.0090497119939233721513648092487001719) }, { SC_(112.0), SC_(0.0089685497505989666647971605188892799) }, { SC_(113.0), SC_(0.0088888303628438646239808339882770350) }, { SC_(114.0), SC_(0.0088105156945064850327834027093985011) }, { SC_(115.0), SC_(0.0087335689416594551774432980618146291) }, { SC_(116.0), SC_(0.0086579545749297765385018991960301301) }, { SC_(117.0), SC_(0.0085836382847989798678716970557209743) }, { SC_(118.0), SC_(0.0085105869296963427139524918544644910) }, { SC_(119.0), SC_(0.0084387684867201864370205757384058871) }, { SC_(120.0), SC_(0.0083681520048333140410033453168254903) }, { SC_(121.0), SC_(0.0082987075603888695965589008723810458) }, { SC_(122.0), SC_(0.0082304062148523625273696378438993847) }, { SC_(123.0), SC_(0.0081632199745943673647789364195510913) }, { SC_(124.0), SC_(0.0080971217526365380303880315348924886) }, { SC_(125.0), SC_(0.0080320853322411165943838692039871816) }, { SC_(126.0), SC_(0.0079680853322411165943838692039871816) }, { SC_(127.0), SC_(0.0079050971740148631300351667600466424) }, { SC_(128.0), SC_(0.0078430970500146151295391657680446584) }, { SC_(129.0), SC_(0.0077820618937646151295391657680446584) }, { SC_(130.0), 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SC_(0.0068728251802308602518038102084781668) }, { SC_(147.0), SC_(0.0068259120633233729183453752300582005) }, { SC_(148.0), SC_(0.0067796350491163295567830632304284166) }, { SC_(149.0), SC_(0.0067339812872463514705887608199097899) }, { SC_(150.0), SC_(0.0066889382711659947299014043945235460) }, { SC_(151.0), SC_(0.0066444938267215502854569599500791016) }, { SC_(152.0), SC_(0.0066006361011831967044736697435092143) }, { SC_(153.0), SC_(0.0065573535527067424108448608792432863) }, { SC_(154.0), SC_(0.0065146349402072763935011042044600833) }, { SC_(155.0), SC_(0.0064724693136260653967056918246321191) }, { SC_(156.0), SC_(0.0064308460045729956776630279328527226) }, { SC_(157.0), SC_(0.0063897546173277622785834750071459507) }, { SC_(158.0), SC_(0.0063491850201838619175140604264327372) }, { SC_(159.0), SC_(0.0063091273371202503168090452045131730) }, { SC_(160.0), SC_(0.0062695719397862840971183684116647889) }, { SC_(161.0), SC_(0.0062305094397862840971183684116647889) }, { SC_(162.0), SC_(0.0061919306812507337711278587862645343) }, { SC_(163.0), SC_(0.0061538267336817656260280264436338377) }, { SC_(164.0), SC_(0.0061161888850611927779720213248864253) }, { SC_(165.0), SC_(0.0060790086352099137773771373272659613) }, { SC_(166.0), SC_(0.0060422776893880588646131336541713791) }, { SC_(167.0), SC_(0.0060059879521257566436812132012754581) }, { SC_(168.0), SC_(0.0059701315212748835395899944411908369) }, { SC_(169.0), SC_(0.0059347006822726159658938493164742836) }, { SC_(170.0), SC_(0.0058996879026080383950805024448661467) }, { SC_(171.0), SC_(0.0058650858264834709210320595382917522) }, { SC_(172.0), SC_(0.0058308872696625687631031241393655869) }, { SC_(173.0), SC_(0.0057970852144976147338981484768453056) }, { SC_(174.0), SC_(0.0057636728051287751468755282757026012) }, { SC_(175.0), SC_(0.0057306433428484210710398828800096431) }, { SC_(176.0), SC_(0.0056979902816239312751215155330708676) }, { SC_(177.0), SC_(0.0056657072237726916057000279297650825) }, { SC_(178.0), 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SC_(2.1267647932558653966460912964485513e37) }, { SC_(1.0842021724855044340074528008699417e-19), SC_(8.5070591730234615865843651857942053e37) }, { SC_(5.4210108624275221700372640043497086e-20), SC_(3.4028236692093846346337460743176821e38) }, { SC_(2.7105054312137610850186320021748543e-20), SC_(1.3611294676837538538534984297270728e39) }, { SC_(1.3552527156068805425093160010874271e-20), SC_(5.4445178707350154154139937189082914e39) }, { SC_(6.7762635780344027125465800054371357e-21), SC_(2.1778071482940061661655974875633166e40) }, { SC_(3.3881317890172013562732900027185678e-21), SC_(8.7112285931760246646623899502532662e40) }, { SC_(1.6940658945086006781366450013592839e-21), SC_(3.4844914372704098658649559801013065e41) }, { SC_(8.4703294725430033906832250067964196e-22), SC_(1.3937965749081639463459823920405226e42) }, { SC_(4.2351647362715016953416125033982098e-22), SC_(5.5751862996326557853839295681620904e42) }, { SC_(2.1175823681357508476708062516991049e-22), SC_(2.2300745198530623141535718272648362e43) }, { SC_(1.0587911840678754238354031258495525e-22), SC_(8.9202980794122492566142873090593446e43) }, { SC_(5.2939559203393771191770156292477623e-23), SC_(3.5681192317648997026457149236237378e44) }, { SC_(2.6469779601696885595885078146238811e-23), SC_(1.4272476927059598810582859694494951e45) }, { SC_(1.3234889800848442797942539073119406e-23), SC_(5.7089907708238395242331438777979805e45) }, { SC_(6.6174449004242213989712695365597028e-24), SC_(2.2835963083295358096932575511191922e46) }, { SC_(3.3087224502121106994856347682798514e-24), SC_(9.1343852333181432387730302044767689e46) }, { SC_(1.6543612251060553497428173841399257e-24), SC_(3.6537540933272572955092120817907075e47) }, { SC_(8.2718061255302767487140869206996285e-25), SC_(1.4615016373309029182036848327162830e48) }, { SC_(4.1359030627651383743570434603498143e-25), SC_(5.8460065493236116728147393308651321e48) }, { SC_(2.0679515313825691871785217301749071e-25), SC_(2.3384026197294446691258957323460528e49) }, { SC_(1.0339757656912845935892608650874536e-25), SC_(9.3536104789177786765035829293842113e49) }, { SC_(5.1698788284564229679463043254372678e-26), SC_(3.7414441915671114706014331717536845e50) }, { SC_(2.5849394142282114839731521627186339e-26), SC_(1.4965776766268445882405732687014738e51) }, { SC_(1.2924697071141057419865760813593170e-26), SC_(5.9863107065073783529622930748058952e51) }, { SC_(6.4623485355705287099328804067965848e-27), SC_(2.3945242826029513411849172299223581e52) }, { SC_(3.2311742677852643549664402033982924e-27), SC_(9.5780971304118053647396689196894324e52) }, { SC_(1.6155871338926321774832201016991462e-27), SC_(3.8312388521647221458958675678757730e53) }, { SC_(8.0779356694631608874161005084957310e-28), SC_(1.5324955408658888583583470271503092e54) }, { SC_(4.0389678347315804437080502542478655e-28), SC_(6.1299821634635554334333881086012367e54) }, { SC_(2.0194839173657902218540251271239327e-28), SC_(2.4519928653854221733733552434404947e55) }, { SC_(1.0097419586828951109270125635619664e-28), SC_(9.8079714615416886934934209737619788e55) }, { SC_(5.0487097934144755546350628178098319e-29), SC_(3.9231885846166754773973683895047915e56) }, { SC_(2.5243548967072377773175314089049159e-29), SC_(1.5692754338466701909589473558019166e57) }, { SC_(1.2621774483536188886587657044524580e-29), SC_(6.2771017353866807638357894232076664e57) }, { SC_(6.3108872417680944432938285222622898e-30), SC_(2.5108406941546723055343157692830666e58) }, { SC_(3.1554436208840472216469142611311449e-30), SC_(1.0043362776618689222137263077132266e59) }, { SC_(1.5777218104420236108234571305655725e-30), SC_(4.0173451106474756888549052308529065e59) }, { SC_(7.8886090522101180541172856528278623e-31), SC_(1.6069380442589902755419620923411626e60) },
|
|
{ SC_(-0.5000000000), SC_(8.9348022005446793094172454999380756) }, { SC_(-1.500000000), SC_(9.3792466449891237538616899443825200) }, { SC_(-2.500000000), SC_(9.5392466449891237538616899443825200) }, { SC_(-3.500000000), SC_(9.6208792980503482436576083117294588) }, { SC_(-4.500000000), SC_(9.6702620140997309597069910277788415) }, { SC_(-5.500000000), SC_(9.7033198653394003811945943335639655) }, { SC_(-6.500000000), SC_(9.7269885043926548190644168187710661) }, { SC_(-7.500000000), SC_(9.7447662821704325968421945965488438) }, { SC_(-8.500000000), SC_(9.7586071126202595864615717591786016) }, { SC_(-9.500000000), SC_(9.7696874450302318856305468284306792) }, { SC_(-10.50000000), SC_(9.7787577398148123844967599803581168) }, { SC_(-11.50000000), SC_(9.7863191764877802483908998669365667) }, { SC_(-12.50000000), SC_(9.7927191764877802483908998669365667) }, { SC_(-13.50000000), SC_(9.7982061449377116612852757242753870) }, { SC_(-14.50000000), SC_(9.8029623875060826482056086612551730) }, { SC_(-15.50000000), SC_(9.8071247184113896201098750504331127) }, { SC_(-16.50000000), SC_(9.8107978129935751113862754177425709) }, { SC_(-17.50000000), SC_(9.8140631191160240909781121524364484) }, { SC_(-18.50000000), SC_(9.8169849598757026884945475067096405) }, { SC_(-19.50000000), SC_(9.8196148086593976260356388939548739) },
|
|
{ SC_(-0.99902343750000000000000000000000000), SC_(1.0485786445453819054093666757806164e6) }, { SC_(-1.9990234375000000000000000000000000), SC_(1.0485788947897014608301106052600290e6) }, { SC_(-2.9990234375000000000000000000000000), SC_(1.0485790059731858715118158380121717e6) }, { SC_(-3.9990234375000000000000000000000000), SC_(1.0485790685037146291468005792240191e6) }, { SC_(-4.9990234375000000000000000000000000), SC_(1.0485791085193442079759033312640482e6) }, { SC_(-5.9990234375000000000000000000000000), SC_(1.0485791363061664391826604906353499e6) }, { SC_(-6.9990234375000000000000000000000000), SC_(1.0485791567200251382893770121774963e6) }, { SC_(-7.9990234375000000000000000000000000), SC_(1.0485791723488405341606371612842196e6) }, { SC_(-8.9990234375000000000000000000000000), SC_(1.0485791846971991664479297252200281e6) }, { SC_(-9.9990234375000000000000000000000000), SC_(1.0485791946991525775874820980861239e6) }, { SC_(-10.999023437500000000000000000000000), SC_(1.0485792029650829946601990955306663e6) }, { SC_(-11.999023437500000000000000000000000), SC_(1.0485792099106578577646272234105154e6) }, { SC_(-12.999023437500000000000000000000000), SC_(1.0485792158287067176193079741367670e6) }, { SC_(-13.999023437500000000000000000000000), SC_(1.0485792209314593886753540118883170e6) }, { SC_(-14.999023437500000000000000000000000), SC_(1.0485792253764825933424418561922499e6) }, { SC_(-15.999023437500000000000000000000000), SC_(1.0485792292832094741599436510420027e6) }, { SC_(-16.999023437500000000000000000000000), SC_(1.0485792327438146631093348182751076e6) }, { SC_(-17.999023437500000000000000000000000), SC_(1.0485792358305693414284737055180265e6) }, { SC_(-18.999023437500000000000000000000000), SC_(1.0485792386009372194851110066962854e6) }, { SC_(-19.999023437500000000000000000000000), SC_(1.0485792411011813779926686635901794e6) },
|
|
{ SC_(-1.0009765625000000000000000000000000), SC_(1.0485786453346669585098368000725210e6)}, { SC_(-2.0009765625000000000000000000000000), SC_(1.0485788950907050310998538089289880e6) }, { SC_(-3.0009765625000000000000000000000000), SC_(1.0485790061295134851948027406034007e6) }, { SC_(-4.0009765625000000000000000000000000), SC_(1.0485790685990070793038292171104670e6) }, { SC_(-5.0009765625000000000000000000000000), SC_(1.0485791085833866557487460417106589e6) }, { SC_(-6.0009765625000000000000000000000000), SC_(1.0485791363521243952566116253382220e6) }, { SC_(-7.0009765625000000000000000000000000), SC_(1.0485791567545946099550113256489222e6) }, { SC_(-8.0009765625000000000000000000000000), SC_(1.0485791723757806110676477942302156e6) }, { SC_(-9.0009765625000000000000000000000000), SC_(1.0485791847187808756018779739003157e6) }, { SC_(-10.000976562500000000000000000000000), SC_(1.0485791947168280366669245397313590e6) }, { SC_(-11.000976562500000000000000000000000), SC_(1.0485792029798236302523575048817360e6) }, { SC_(-12.000976562500000000000000000000000), SC_(1.0485792099231379319842508274674963e6) }, { SC_(-13.000976562500000000000000000000000), SC_(1.0485792158394087991015231685011609e6) }, { SC_(-14.000976562500000000000000000000000), SC_(1.0485792209407379096480891892744762e6) }, { SC_(-15.000976562500000000000000000000000), SC_(1.0485792253846037068979581619480639e6) }, { SC_(-16.000976562500000000000000000000000), SC_(1.0485792292903769133919482794005111e6) }, { SC_(-17.000976562500000000000000000000000), SC_(1.0485792327501870178663179616292787e6) }, { SC_(-18.000976562500000000000000000000000), SC_(1.0485792358362719002281530732844340e6) }, { SC_(-19.000976562500000000000000000000000), SC_(1.0485792386060702710649859237414384e6) }, { SC_(-20.000976562500000000000000000000000), SC_(1.0485792411058261483202152741904670e6) },
|
|
} };
|
|
do_test_trigamma<T>(data, name, "Mathematica Data");
|
|
}
|
|
|