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nest-open-source / nest-cam / 4320010 / boost / 62d1066a6d52d5ac4e10c106f0eab14c820be0ce / . / boost / libs / math / test / test_trigamma.hpp
blob: 9535bbba8fc9387a3b096f2126f38c490f3f3d81 [file] [log] [blame]
// Copyright John Maddock 2014
// 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)
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/math/concepts/real_concept.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/tools/stats.hpp>
#include <boost/math/tools/test.hpp>
#include <boost/math/constants/constants.hpp>
#include <boost/type_traits/is_floating_point.hpp>
#include <boost/array.hpp>
#include "functor.hpp"
#include "handle_test_result.hpp"
#include "table_type.hpp"
#ifndef SC_
#ifndef BOOST_FLOAT128_C
#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
#else
#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
#endif
#endif
template <class Real, class T>
void do_test_trigamma(const T& data, const char* type_name, const char* test_name)
{
typedef Real value_type;
typedef value_type(*pg)(value_type);
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
pg funcp = boost::math::trigamma<value_type>;
#else
pg funcp = boost::math::trigamma;
#endif
boost::math::tools::test_result<value_type> result;
std::cout << "Testing " << test_name << " with type " << type_name
<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
//
// test trigamma against data:
//
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(1));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::trigamma", test_name);
std::cout << std::endl;
}
template <class T>
void test_trigamma(T, const char* name)
{
typedef typename table_type<T>::type value_type;
boost::array<boost::array<value_type, 3>, 659> data =
{ {
{ 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), SC_(0.0077219693512491412998414312568974918) }, { SC_(131.0), SC_(0.0076627977536160052051668750438797403) }, { SC_(132.0), SC_(0.0076045260911254743503215863077920997) }, { SC_(133.0), SC_(0.0075471339882788260491278305685818151) }, { SC_(134.0), SC_(0.0074906016800646816656126516438263173) }, { SC_(135.0), SC_(0.0074349099892649489857284903606897613) }, { SC_(136.0), SC_(0.0073800403047656348567847317873015583) }, { SC_(137.0), SC_(0.0073259745608209981785840397457790669) }, { SC_(138.0), SC_(0.0072726952172225113119422367727916941) }, { SC_(139.0), SC_(0.0072201852403269011460107097826635698) }, { SC_(140.0), SC_(0.0071684280849001633995172570628250521) }, { SC_(141.0), SC_(0.0071174076767368980933948080832332154) }, { SC_(142.0), SC_(0.0070671083960166123934803168604577010) }, { SC_(143.0), SC_(0.0070175150613607901359917233274285402) }, { SC_(144.0), SC_(0.0069686129145565454296491148869180018) }, { SC_(145.0), SC_(0.0069203876059145701210071395782760264) }, { SC_(146.0), 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_(0.0051679471543725143946515809832794503) }, { SC_(195.0), SC_(0.0051413768493454126835239372379292537) }, { SC_(196.0), SC_(0.0051150783615084633081130233654769197) }, { SC_(197.0), SC_(0.0050890475410170014172342228656851663) }, { SC_(198.0), SC_(0.0050632803220729420495617757529020490) }, { SC_(199.0), SC_(0.0050377727208077650268089954243641447) }, { SC_(200.0), SC_(0.0050125208332291685267206138178390569) }, { SC_(201.0), SC_(0.0049875208332291685267206138178390569) }, { SC_(202.0), SC_(0.0049627689706515095578832088031116987) }, { SC_(203.0), SC_(0.0049382615694163365356304884815745945) }, { SC_(204.0), SC_(0.0049139950257001580309349122724940538) }, { SC_(205.0), SC_(0.0048899658061692083961790491429285021) }, { SC_(206.0), SC_(0.0048661704462643898357983233844514052) }, { SC_(207.0), SC_(0.0048426055485360459768106713908610573) }, { SC_(208.0), SC_(0.0048192677810268859030633260619152243) }, { SC_(209.0), SC_(0.0047961538757014421160810775412051651) }, { SC_(210.0), 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} };
do_test_trigamma<T>(data, name, "Mathematica Data");
}