79 lines
48 KiB
C++
79 lines
48 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/tools/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), 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), SC_(0.0056337879157832888159525096559612586) }}, {{ SC_(179.0), SC_(0.0056022262442771658516803218008924541) }}, {{ SC_(180.0), SC_(0.0055710162321052611046374704541804289) }}, {{ SC_(181.0), SC_(0.0055401520345743969071066062566495647) }}, {{ SC_(182.0), SC_(0.0055096279357984132680235501838801132) }}, {{ SC_(183.0), SC_(0.0054794383451692621993120419119322808) }}, {{ SC_(184.0), SC_(0.0054495777939434865714939523899997060) }}, {{ SC_(185.0), SC_(0.0054200409319397058531574684580526360) }}, {{ SC_(186.0), SC_(0.0053908225243429198779931149153207149) }}, {{ SC_(187.0), SC_(0.0053619174486116214619912649904739118) }}, {{ SC_(188.0), SC_(0.0053333206914838797479016427536355693) }}, {{ SC_(189.0), SC_(0.0053050273460787190416997414408243425) }}, {{ SC_(190.0), SC_(0.0052770326090892730575447625768507695) }}, {{ SC_(191.0), SC_(0.0052493317780643423096223249037205756) }}, {{ SC_(192.0), SC_(0.0052219202487751232640917747543277410) }}, {{ SC_(193.0), SC_(0.0051947935126640121529806636432166299) }}, {{ SC_(194.0), 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), 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|
|
} };
|
|
do_test_trigamma<T>(data, name, "Mathematica Data");
|
|
}
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|