| /////////////////////////////////////////////////////////////// |
| // Copyright Christopher Kormanyos 2002 - 2011. |
| // Copyright 2011 John Maddock. Distributed under the Boost |
| // Software License, Version 1.0. (See accompanying file |
| // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_ |
| // |
| // This work is based on an earlier work: |
| // "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations", |
| // in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469 |
| |
| #ifdef _MSC_VER |
| # define _SCL_SECURE_NO_WARNINGS |
| #endif |
| |
| #include <boost/detail/lightweight_test.hpp> |
| #include <boost/array.hpp> |
| #include "test.hpp" |
| |
| #if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT) |
| # define TEST_MPF_50 |
| # define TEST_MPFI_50 |
| # define TEST_BACKEND |
| # define TEST_CPP_DEC_FLOAT |
| # define TEST_MPFR_50 |
| # define TEST_FLOAT128 |
| # define TEST_CPP_BIN_FLOAT |
| |
| #ifdef _MSC_VER |
| #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!") |
| #endif |
| #ifdef __GNUC__ |
| #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!" |
| #endif |
| |
| #endif |
| |
| #if defined(TEST_MPF_50) |
| #include <boost/multiprecision/gmp.hpp> |
| #endif |
| #if defined(TEST_MPFR_50) |
| #include <boost/multiprecision/mpfr.hpp> |
| #endif |
| #if defined(TEST_MPFI_50) |
| #include <boost/multiprecision/mpfi.hpp> |
| #endif |
| #ifdef TEST_BACKEND |
| #include <boost/multiprecision/concepts/mp_number_archetypes.hpp> |
| #endif |
| #ifdef TEST_CPP_DEC_FLOAT |
| #include <boost/multiprecision/cpp_dec_float.hpp> |
| #endif |
| #ifdef TEST_FLOAT128 |
| #include <boost/multiprecision/float128.hpp> |
| #endif |
| #ifdef TEST_CPP_BIN_FLOAT |
| #include <boost/multiprecision/cpp_bin_float.hpp> |
| #endif |
| |
| template <class T> |
| void test() |
| { |
| std::cout << "Testing type: " << typeid(T).name() << std::endl; |
| static const boost::array<boost::array<const char*, 2>, 500> data = |
| {{ |
| {{ "0", "0" }}, |
| {{ "0.03125", "0.03126017650125595642059651621507489147877835880393069701338513042228140662868270178810496567920444849" }}, |
| {{ "0.0625", "0.06258150756627501465828481747745378814263718044751609194477198396918772026898277636891147279909599223" }}, |
| {{ "0.09375", "0.09402562724573195576489755283678159034525247904824579838425258406126459673745015890895186868431790389" }}, |
| {{ "0.125", "0.1256551365751309677926782186297740007586657638922255426688666139272557034809288714758416649081949452" }}, |
| {{ "0.15625", "0.1575341073252716106852257741724104906661974475121544257009051769486388715993896887955248205741956572" }}, |
| {{ "0.1875", "0.1897286107180591328910833700730338162710122536010363055257273177325079653665703027537671734777793159" }}, |
| {{ "0.21875", "0.2223072805534313308722888175879995822319104918387718270273535559005416973923742249393961682186904743" }}, |
| {{ "0.25", "0.2553419212210362665044822364904736782042016388008226217404756502588831981346542579493165026310550454" }}, |
| {{ "0.28125", "0.2889081724405147260015884454642448286982056723714186732378896291489603033944207768995735063901118923" }}, |
| {{ "0.3125", "0.3230862443517455201183006557179619743037036164759656335249943943470835620899848486165999610265179128" }}, |
| {{ "0.34375", "0.3579617388480169983883959631794471406375375900948760280972554801967920011385682070576100261097824193" }}, |
| {{ "0.375", "0.3936265759256327582294137871012180981856966444080712949818309739116951585799388015457993878787997269" }}, |
| {{ "0.40625", "0.4301800474642300490203296054472752679963181652078151755042924196261397876727827800621729454863519218" }}, |
| {{ "0.4375", "0.467730025452391799921342706961992620413738282701114114727311802060193364671415150855360089743973883" }}, |
| {{ "0.46875", "0.5063943574962298120708227547071771387085972911587370796115595547436950963394141008177411206688111652" }}, |
| {{ "0.5", "0.5463024898437905132551794657802853832975517201797912461640913859329075105180258157151806482706562186" }}, |
| {{ "0.53125", "0.5875973675914432213941588631578976924522062928763012976297627647411436985181631978010052165746790249" }}, |
| {{ "0.5625", "0.630437673835884766852611429299775209903293946951939898251650513745196222165381994293674222073197888" }}, |
| {{ "0.59375", "0.6750004851442429076631779494777229128864061685897319107997999948317524157945835559284790797708856594" }}, |
| {{ "0.625", "0.7214844409909044199895178832795946807605892812145963657590722733756611374332889471678213489198161525" }}, |
| {{ "0.65625", "0.770113551344208705005983660052773240245517035179766333813336659352553100285016757206110401160028615" }}, |
| {{ "0.6875", "0.8211418015898941219114239653747117008753716453086877023306268412086961091026737960147423436480371207" }}, |
| {{ "0.71875", "0.874858760554482349539671907932155532231782257040588572549027780010892786023906162883923961511720127" }}, |
| {{ "0.75", "0.9315964599440724611652027565739364281886913399722189970823760758473440872606463942290222395451727347" }}, |
| {{ "0.78125", "0.9917378983632686802568573899299023689572109767948642785884455151680071204845003794305054375396567381" }}, |
| {{ "0.8125", "1.055727639411919906905928322585893795895648561782414602487481288436493656539800004691156074588329712" }}, |
| {{ "0.84375", "1.124085134704560944131255965236688143403009777898521429483610660496648114350313475950507899270640935" }}, |
| {{ "0.875", "1.197421629234347972339226617276609445975806623418086002265951386950959459751336541541255052511392263" }}, |
| {{ "0.90625", "1.276461828982383445402617843263224436254612963462020761243811395954456362359102470162910199798207331" }}, |
| {{ "0.9375", "1.362071976376228231137266640571127531383954502011184315622281795551984309995647087587519913956728759" }}, |
| {{ "0.96875", "1.455296662469072910283351203225910848640458285194500237036240390915811463257413817682188441906818248" }}, |
| {{ "1", "1.557407724654902230506974807458360173087250772381520038383946605698861397151727289555099965202242984" }}, |
| {{ "1.03125", "1.669970130353601668362228999287655840466243330137306547430306024592587314737242276409239980979443174" }}, |
| {{ "1.0625", "1.794932157265411111412512666640647365321540790157497713363548060626019826336277151761592643681562889" }}, |
| {{ "1.09375", "1.934751011916103924218794082343652203808222523749686394781135509079848569244264225172363092871198012" }}, |
| {{ "1.125", "2.092571276372179004423733981234886782259941716148720572913991515339894408382371607574079035650497628" }}, |
| {{ "1.15625", "2.272484060247449371554848155118626331407879143446651944395567708418983252993702557436552564850427597" }}, |
| {{ "1.1875", "2.479912917556758792437515574454698934001624072586467858166295252178386457324268836053055868956236971" }}, |
| {{ "1.21875", "2.722205296368710926927932441765877991142333599010908457349133016162381084884183783877142234320889929" }}, |
| {{ "1.25", "3.009569673862831288157563894386243931391637699606062181047618417194668052548525026087449023543493348" }}, |
| {{ "1.28125", "3.356619539863437446801254212059537717694035906934171604782430676182834617443082960603002796648697006" }}, |
| {{ "1.3125", "3.785038166535876194630450975067081020082611278470578710038656250838244608554256510046862645943214168" }}, |
| {{ "1.34375", "4.328443997051826678273102914917348524900160978527585314859991445919675557868173766988955991311583481" }}, |
| {{ "1.375", "5.04191525648136332110647205436422898660842030191113551461354742130497045161358084541551547909572374" }}, |
| {{ "1.40625", "6.02236781523945747670227618692239447637023828129226996489330674807031833318199939459376428890858723" }}, |
| {{ "1.4375", "7.457597366497314807346683309400119820853357043059007743950216525315136075258562571085388447049580691" }}, |
| {{ "1.46875", "9.765431722939984318153137075537986427219225446494026346174651506537333303940271000197727980305021618" }}, |
| {{ "1.5", "14.10141994717171938764608365198775644565954357723586186612326758608969627041415526864870292630944229" }}, |
| {{ "1.53125", "25.27361509038201021888564593774203447137999639112919943365223977030408052066444435679945642193151117" }}, |
| {{ "1.5625", "120.5325057225426126499709994255564804478992494692406282802019970839232698437518852292295322760051977" }}, |
| {{ "1.59375", "-43.55836040673973128976461522014256814059799632626649998645431997677346427573993827534701436489680689" }}, |
| {{ "1.625", "-18.43086276236962258434966752738448975654856844592479276671012332110139541995382323486170528839748939" }}, |
| {{ "1.65625", "-11.67374867215481348216513536293945130766869617358776549669176281104274968860961548954064974733991076" }}, |
| {{ "1.6875", "-8.529773993911653209272999783778324026196719414411590092375294867302897481134537117581472896391856125" }}, |
| {{ "1.71875", "-6.709482397820695376442251396240149572345307174060614879543507453718786710576833294867753884694537068" }}, |
| {{ "1.75", "-5.520379922509330168089935698420205500301122430036809938027371836902288281994865833387763391132527793" }}, |
| {{ "1.78125", "-4.681280325336429567316481395066494078522124421106252324368679821712511116596067067167862140573504461" }}, |
| {{ "1.8125", "-4.056414052170035671394695838412072312925972547334020477371203912084804008892977770267448199074447777" }}, |
| {{ "1.84375", "-3.572185661861125859870109039981697499670205624150737204067785923886464814599307447743073100872203818" }}, |
| {{ "1.875", "-3.185238919501229169914672833591055563068190813252958079987355697225012578404488535638528315769681186" }}, |
| {{ "1.90625", "-2.868371726567042158384165205507273428429609298347592604875428057959086996590505442480814626239318494" }}, |
| {{ "1.9375", "-2.603652912010850547260718033703880538638622594696262109914178307203938532760442947667909676035790898" }}, |
| {{ "1.96875", "-2.378782114044268462754557076702009514149544247914950239975234530609231791907385965883627186285245033" }}, |
| {{ "2", "-2.185039863261518991643306102313682543432017746227663164562955869966773747209194182319743542104728548" }}, |
| {{ "2.03125", "-2.016072402071886080344963601799448100479409508905552305715636690184075224937451135890591580854847922" }}, |
| {{ "2.0625", "-1.86713988123437020407782794323860043132451055327769468817959958079457004467338400013589662215485346" }}, |
| {{ "2.09375", "-1.734634103946532053863260773540976834775727590591832428183425859927779370855756294581920109583545138" }}, |
| {{ "2.125", "-1.615759423973460045704218998135983105718634789435135146363364502252797531256854000679335498343468236" }}, |
| {{ "2.15625", "-1.508315836353881219959349807787957061590021089263168744744644715237923771519750208817662219357365791" }}, |
| {{ "2.1875", "-1.410548011813148830578875195416796900655621273730614063607851296345238287109255775298602026828637775" }}, |
| {{ "2.21875", "-1.321038011883972941371242354544773427461451983076687172335288474134737150563349929598365091185906691" }}, |
| {{ "2.25", "-1.238627616224096475286573358483115818987811679840895892063010057942989763968416082248247538779346115" }}, |
| {{ "2.28125", "-1.162361144121629479886631062456510653121514437736910570208484412489182649570861593071569298439919991" }}, |
| {{ "2.3125", "-1.091442725473163592445273166049218471062020679322657236270267019564600575624640388147984118518979059" }}, |
| {{ "2.34375", "-1.025203931548868392935198625444103909279764848147237361743751176005185409221197679274034521026108332" }}, |
| {{ "2.375", "-0.9630789471610371325783309326887526239686440615099207880230611368370468000350460791927023591069451265" }}, |
| {{ "2.40625", "-0.9045853091742213054875350240709441597937968403208608690036487459318455608785453421438664490396695609" }}, |
| {{ "2.4375", "-0.8493088059488314622450104194218363224080665638942044768228802750401486144919082454646163741529209686" }}, |
| {{ "2.46875", "-0.7968915235352686521345041809817019192899787435677815043081356746793473472915009329509869865385574704" }}, |
| {{ "2.5", "-0.747022297238660279355352687825274557904116956883011279066593089700271855760843718388592769933778409" }}, |
| {{ "2.53125", "-0.699429020084844342139783831016239425344370000759297142831905446726651787263273111657622358057530982" }}, |
| {{ "2.5625", "-0.653872397910572369605836837404416068498526729423046632151562590225826018439381877458767572737519508" }}, |
| {{ "2.59375", "-0.6101408409895599924272199138429116429964861640554001463611527892708422318404310839955568952517348978" }}, |
| {{ "2.625", "-0.5680462555551780726648895974757705443146437970424414412380682777625097984947690751561280498460825515" }}, |
| {{ "2.65625", "-0.5274205529869757121326571336563206310413652365485599902702063856643631953989601868253259786432770197" }}, |
| {{ "2.6875", "-0.4881127351190876547388242189029165584838796506348536005759885166591812246270986452391896414818116207" }}, |
| {{ "2.71875", "-0.4499864448356251166356611982487791354890745233650543094554613558499691453012194865420102877343872536" }}, |
| {{ "2.75", "-0.412917894484932487763966873261129123736255820362062889934249403216388494265361969753200463293305801" }}, |
| {{ "2.78125", "-0.3767941025635464453019403649599866905758314392515266200296815335892123350214817069316692446879993786" }}, |
| {{ "2.8125", "-0.3415113829599005939054709337126887266408130303329754956325710946559071503247227755879401227074384719" }}, |
| {{ "2.84375", "-0.3069740418053874743538801719778118186539092328300496832334808000582741898558068313989599567333495833" }}, |
| {{ "2.875", "-0.2730932453907306446782089914481699536905769611886147850801712661656164014954781669815730570254890551" }}, |
| {{ "2.90625", "-0.2397860292133634315864717364763276794949749917725083450148739709007738169658284872978100162537831057" }}, |
| {{ "2.9375", "-0.2069744234334290889140606202259876249518274239071734165293810142417092926391409078539182667795178826" }}, |
| {{ "2.96875", "-0.1745846741378176862031217701953393007964354401947395498383109594878301292911980508212117939922029155" }}, |
| {{ "3", "-0.1425465430742778052956354105339134932260922849018046476332389766888585952215385380591060583477669114" }}, |
| {{ "3.03125", "-0.1107926710961848652307179061543482824777047419183290635786540267776792824053626901819122659270065422" }}, |
| {{ "3.0625", "-0.07925799258597813975964847855303205226643624625818783981886842299834648957527837719024324414633813629" }}, |
| {{ "3.09375", "-0.04787918970239737242913390208792864526960233706882073548585416320272138422285616307162127608218497512" }}, |
| {{ "3.125", "-0.01659417649935840190191646601956655481659118246051776036792478758448298530865094236374141834995963483" }}, |
| {{ "3.15625", "0.01465839615112051363829193218735346545420611046761168233490628016451488745447998876530695315188732072" }}, |
| {{ "3.1875", "0.04593962329265888212191655478619122278727029224118607262776824432506068644004151566997697327162767079" }}, |
| {{ "3.21875", "0.07731082437922182842323045510047455560710445548270932232603347976675416898602720984389229982663062937" }}, |
| {{ "3.25", "0.1088340255133297195139603974000083015109646348076838424061656004036607221464457317348103204356071731" }}, |
| {{ "3.28125", "0.1405724535178196442425946789234394740490046721659763531803771463602023716095051057689530418533761391" }}, |
| {{ "3.3125", "0.172591050272744891901962315250310519786980119755314731828011976218754514667360156546007027602360458" }}, |
| {{ "3.34375", "0.2049570163396922924222670027465798026391019465616329916778651389384367221289434591672530287680469817" }}, |
| {{ "3.375", "0.237740393762143806988724415397077124401764815151774813277613941354927085310634989951327775643776322" }}, |
| {{ "3.40625", "0.2710146991120596316784994914008470605846614604634004480958302230976152416477575814862222371539690966" }}, |
| {{ "3.4375", "0.3048576194048116313509686061976383012732471442214687629070980813100980504220010433668547826451536192" }}, |
| {{ "3.46875", "0.33935178550149794902043849733017382894738729159656755127388089028458110314950118486374283672385814" }}, |
| {{ "3.5", "0.3745856401585946663305125799891473884508822842892592306930231225774355972615263725457922224498281269" }}, |
| {{ "3.53125", "0.4106544211005646795132687105613188412302653916099336518744517138690111552283413041415216571077234329" }}, |
| {{ "3.5625", "0.447661283553583556404846819303519593092219301719424669894622854440119111664920988209774876249304265" }}, |
| {{ "3.59375", "0.4857185918149514991806435613800961704649349211376530235980832426061445834319868210377502054789684188" }}, |
| {{ "3.625", "0.5249494159434426029201266393240939090334746308513972623727472919160131375298663507047002581644827389" }}, |
| {{ "3.65625", "0.5654892779403682511970427653303379875705726194565986095362182202060326386665976843463927284690694492" }}, |
| {{ "3.6875", "0.6074882023842700195137806696254362966726637333828709216522375901698082716779542882925451551904376524" }}, |
| {{ "3.71875", "0.6511131401046877694771154604832169765858772246556092408841970307496747807017677126165226354908150626" }}, |
| {{ "3.75", "0.6965508511114601330600221624003410002384063251948773727536766307711270568580190864635818668189622464" }}, |
| {{ "3.78125", "0.7440113559767865266278722337979770721544668975249127911732590346704528413537145792818180362367062195" }}, |
| {{ "3.8125", "0.7937320950520845038640709755691971987193904745863880210276991068348251595048327258835950484424829585" }}, |
| {{ "3.84375", "0.8459829748791345210684014414635237310065611239815471815195561711011715779741435605360151278986068963" }}, |
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| {{ "12.3125", "-0.2594689972120933396662267471796226223140842016040887149108653318448105627021634377488137220685751418" }}, |
| {{ "12.34375", "-0.2263727011714726746425617255174464360665584672063083345910005855017649693977414015628137560181413471" }}, |
| {{ "12.375", "-0.1937415223592955920421472499371716132396126974936842056246045191659136204224066400221303821918510103" }}, |
| {{ "12.40625", "-0.1615032187034938758288345646836288312549849485871893783750506125037934982810946747034471565118071181" }}, |
| {{ "12.4375", "-0.1295887977200466002615144930375243133915724779506460096421464176334192279649808190617654665646655393" }}, |
| {{ "12.46875", "-0.09793190214949804406939767223801097423536917158984066549241688209747906679339832186909184479038423885" }}, |
| {{ "12.5", "-0.06646824186327419610199266949441387194390610792357612079517505380578030434009894147743014400122005453" }}, |
| {{ "12.53125", "-0.03513506141616282076636047393093268566965509833708523530838721391339373252314877573835767237228949322" }}, |
| {{ "12.5625", "-0.003870633688692445796420680716701608075985971581256241161345780831826430572573689071744247468488929075" }}, |
| {{ "12.59375", "0.02738622916941998236655243276631287278486472025157424329703232697741123275406245628528750156873296529" }}, |
| {{ "12.625", "0.05869665578128338112635128913606850911677921227526205464651894469274626817414600063862113806671147531" }}, |
| {{ "12.65625", "0.09012219459725165729474121609816933257302657281344601700769732387220992191083677289387048548334265912" }}, |
| {{ "12.6875", "0.1217252999603408610668897042413571531127645503736599822403036205555496676066474076056000689949341066" }}, |
| {{ "12.71875", "0.1535698333828775342772949638706552097777256705040011551078273258533143177119249497623834514512966756" }}, |
| {{ "12.75", "0.1857215886751401902594186441708939448272141506734588329272148156845153012668419405756499880982943312" }}, |
| {{ "12.78125", "0.2182488502657797346752690950871572837813792443000041521932413723748578742375061893600646885986149118" }}, |
| {{ "12.8125", "0.2512229950428828425999138094132092852018197118941615412720196242900796512859843472371170313836583775" }}, |
| {{ "12.84375", "0.2847191493692259054394416502657415422614131291273802036428533121457701035912610846112501083132620008" }}, |
| {{ "12.875", "0.3188169146481101964165914224483354040480603343474688683709071564169780696806924149291320418944830542" }}, |
| {{ "12.90625", "0.3536011770209831976646321735648611242564793780159081807119024532891168112397727872069370118132852613" }}, |
| {{ "12.9375", "0.389163019575800390066324389631248715515481435421443727622672043630746566664120384677948936473787333" }}, |
| {{ "12.96875", "0.4256007589819842824595519481972026675555296385735056063290277948532474177383987445148843331908874667" }}, |
| {{ "13", "0.4630211329364895955117902835081206683532120959519440470950206693928302579327807145125758116501924079" }}, |
| {{ "13.03125", "0.5015406704601738993466207755375547536965260852964643732753893793547109382261801451895601761930463122" }}, |
| {{ "13.0625", "0.5412872842615681585626378992160244527886510964571032692368478641312818490839188830849928560962861538" }}, |
| {{ "13.09375", "0.5824021335357886328662589223215248727421699777193264549116653046243519880397055116969487363618353957" }}, |
| {{ "13.125", "0.6250418172930577232327055575810817395750497037126950514585195397519699819130820731538599564259401139" }}, |
| {{ "13.15625", "0.6693809734298055686754246761212833674742679018564325405072602539903766997859347462285344333571366362" }}, |
| {{ "13.1875", "0.7156153783773706463324211230116191534127258818669295732823217991324981875804470761472072117982861964" }}, |
| {{ "13.21875", "0.7639656678174816067986696149135126827704120185065555912507382354963651332883430075609034401555571502" }}, |
| {{ "13.25", "0.8146818327614344736464451806034453710444224291621571573625236805118070729970340362557654528804594448" }}, |
| {{ "13.28125", "0.8680486902251570873258425734584921956065820604675624643643164481487468794096033758920520511975882962" }}, |
| {{ "13.3125", "0.9243925880092635749600582006440809362226783655074073519865821148035556209179629462013383469424274175" }}, |
| {{ "13.34375", "0.984089684751991735962930471741445607987192320278600727525448404432994693600540790050738561865588772" }}, |
| {{ "13.375", "1.04757625822842897028900134354672689006793126569323519874122370449523706721491998653522405351511" }}, |
| {{ "13.40625", "1.115361649708918497565229580465214098442269312226313131576538895853120727413355048723361997440716611" }}, |
| {{ "13.4375", "1.188044669282090096413968423531415025467187597047077575491037309801518019505454161493737933958668965" }}, |
| {{ "13.46875", "1.266334595496805761839284321117713547689424188079416196364317291844437171872585239983180116380091394" }}, |
| {{ "13.5", "1.351078347287010480371085577712699470101212829099407611657174914155576868564657173832374341089513584" }}, |
| {{ "13.53125", "1.443296057137394170028536177718664041051292527024487177527337760724543655637891131854085251072201818" }}, |
| {{ "13.5625", "1.544228244055125768572769325179666059641117940456933228593668266762756226316757718141030898582889678" }}, |
| {{ "13.59375", "1.65539925635608625536146268504299540984757874423396346584219270902415141849546774423536235044651061" }}, |
| {{ "13.625", "1.778703933748487611100295794480392286774372855795510955005500225382241572963111907877924106343034439" }}, |
| {{ "13.65625", "1.916528050760659646742064707886848214342582893475968412683323141359371632373241621750396872855231387" }}, |
| {{ "13.6875", "2.071918975654530318165994049833557729201414960634819277207514404216213840009455116234485076356302166" }}, |
| {{ "13.71875", "2.248832798150414958768559692131859458258869348641929756045263587943996112471489439485863476093034658" }}, |
| {{ "13.75", "2.452501131436276534259505261160229408535827308333544989748716942417182101185885609613251793631088723" }}, |
| {{ "13.78125", "2.689991141885544485574819071146851902487462547699495662222675009146133600868249015967786252574495347" }}, |
| {{ "13.8125", "2.971088997454883061146937345921981294715821069297105784485484470539822403438727250351950923586461683" }}, |
| {{ "13.84375", "3.309747852278236334086030022253642441335045150382837946015733966046635972988597769925369044448793434" }}, |
| {{ "13.875", "3.726571412380592611642200928513525816649689030739311675986112325390668863787780356510815096395312152" }}, |
| {{ "13.90625", "4.253314099623669334835259848593744934346239237141072606237802004691075608138259425654524049734148683" }}, |
| {{ "13.9375", "4.941607147834976432334070015221138910450692007921150173618524899066416996751652602822476062787651509" }}, |
| {{ "13.96875", "5.881399525150031955799636707531603412059246766703476508448423108137501182284498677930575806202198028" }}, |
| {{ "14", "7.244606616094805116868776904419943839744730261240134752545587919443539234559937291680749763590851956" }}, |
| {{ "14.03125", "9.406028188605279696133223875198323737712453281000019998207973537233195589286463672078393783342949057" }}, |
| {{ "14.0625", "13.36790967265482265511197119971831749461310263946778620293662813338523575832270133240885318460296722" }}, |
| {{ "14.09375", "23.0180098105772480411418077991835591801343058014965291845911306402355660736744079654039102037142972" }}, |
| {{ "14.125", "82.18587088008837479889498738727608856213126524631858084352266182200806013924238364295643998983071042" }}, |
| {{ "14.15625", "-52.39613928846073424250555787725052081495348867793023995281290229927733884543365803704289494278819236" }}, |
| {{ "14.1875", "-19.85087749437963381473636677142019044036915990708056158011806608744982156130940528545579140382954901" }}, |
| {{ "14.21875", "-12.23024032878110918179097238079573616977352169397336130087278904329232109578073694396971060087189843" }}, |
| {{ "14.25", "-8.825007825823643194479070661167279551172813025945214108644920017576189426949178857879125100439566237" }}, |
| {{ "14.28125", "-6.892346926954325909059194856822673062063097995636142714599547668355292064875194893124728097012275365" }}, |
| {{ "14.3125", "-5.644866498825540128381929944705578552248933555730964244899773528736917184084590171390597212873718595" }}, |
| {{ "14.34375", "-4.771610252795610046024685797665514766422880378783577882983742818079026166693261845053770481989424557" }}, |
| {{ "14.375", "-4.125051680440956814255997242162117938555651270642110578618995113301257483035180159821309310658332941" }}, |
| {{ "14.40625", "-3.626194314229776036712561256911661725676439848577743170654748551410882288678506147976699754338337632" }}, |
| {{ "14.4375", "-3.228918544653384166822369480885301355908586468628448310353628937744136710166892378083809771029038072" }}, |
| {{ "14.46875", "-2.904489208401961365438740405970863838028715766433251544998958231462070708355920879083964796103033733" }}, |
| {{ "14.5", "-2.634069132503832833409607035052858278935807513368801311481801280408668028920599740332367971681453643" }}, |
| {{ "14.53125", "-2.404794639925577553244012746285864594559572350297129379452932406519481483010765023196033751578709703" }}, |
| {{ "14.5625", "-2.207581089523679545128355853946391835592464237094323506839360879131859583353800754571132350944473674" }}, |
| {{ "14.59375", "-2.035829586659772321235017007716845648434117124540496962900856683971781311984497273615528750368081422" }}, |
| {{ "14.625", "-1.884630768865435904935595378906947231717012177189752377379403964925875302521199447518722408719775981" }}, |
| {{ "14.65625", "-1.750256190835124208623312849116061326812165846025415986783560739453729962659158203940996884358758139" }}, |
| {{ "14.6875", "-1.629822991609989147184189043054819627629510818289435539398133590083260226275976603564527843030512624" }}, |
| {{ "14.71875", "-1.521066667289361457373930052890176846963182405346389200320517277799503677666772192617687500257521097" }}, |
| {{ "14.75", "-1.42218336083774197380789085745137021789867848279597800468450871698744869740438289092755542692570482" }}, |
| {{ "14.78125", "-1.331718058572613129017722401996663023341875099157808098995252549045562547044521935057437210333349552" }}, |
| {{ "14.8125", "-1.248483823169844883793467308858957913772012915051151771810074084965259104516379708093866536649015936" }}, |
| {{ "14.84375", "-1.171502454280969620050113939757468091964527953537892858826299161314598145955301346129774398985079725" }}, |
| {{ "14.875", "-1.09996022360423379094065298284739111500559223495806048377446355428125902586706149601540328954397664" }}, |
| {{ "14.90625", "-1.033174396383465269461739738697259215672589493553897443441659340076220701053186730617856132398548093" }}, |
| {{ "14.9375", "-0.9705675907155131163149460322607739770705545946870992276893226926978460501228871025636381103213358614" }}, |
| {{ "14.96875", "-0.9116479124475490508064737825953723368462225788875404013990634500526165327350899245784037598875471869" }}, |
| {{ "15", "-0.8559934009085187640261927782380296049897864414742962979687446281783012594486541122545103129259226012" }}, |
| {{ "15.03125", "-0.8032397302332296612432159755337281904284459733163994877022298441144059785603187789136637043263789466" }}, |
| {{ "15.0625", "-0.7530703960754939484978446924032015414437125508200990314934869704250553438069278960228507610120908637" }}, |
| {{ "15.09375", "-0.7052088187318415299725928408540094093554358958059088325375638362095004704432693353838375709463129551" }}, |
| {{ "15.125", "-0.659411937622644225218300893404169827076548649885412227383887901950221923526355502978543776575055119" }}, |
| {{ "15.15625", "-0.6154649762727536414801474029122625793755198617269250343988631456453788448149731706979351529235579577" }}, |
| {{ "15.1875", "-0.5731771332183040948793178896118867037269598773610412277642977614409075169432893108977656087532808068" }}, |
| {{ "15.21875", "-0.5323780107028691176788965668440942781647156607765742951342412648358988559400799809724920990286528734" }}, |
| {{ "15.25", "-0.4929146351866012621666401573415074523464609163340854530825224584649245974424596583470196176643838565" }}, |
| {{ "15.28125", "-0.4546489554738299415350063572461193751006928326854122963028434583535719327916356408447934270192962049" }}, |
| {{ "15.3125", "-0.4174557284251085623680148206370333657407709127949181945517726979253617292255491330234726669774559159" }}, |
| {{ "15.34375", "-0.3812207207302419203446046603506711987787377766806738457878506795815713138223264722913354548269137032" }}, |
| {{ "15.375", "-0.3458391695028422582485004568448026536356203654713446806415710694635885346246660520826948870993463705" }}, |
| {{ "15.40625", "-0.311214455551825073642663079591570618837743590849903018274057606911872122304533000910107606645650336" }}, |
| {{ "15.4375", "-0.2772569518534830079599506190692912755868921271423525814120233867695893487373304945292237740353757468" }}, |
| {{ "15.46875", "-0.2438830165543173054192587099181568413614402066070223778896735213919894343566763962867244846621486138" }}, |
| {{ "15.5", "-0.2110141052012553133863173741408514435037061655011970687100846880180438182550528565062101594891245018" }}, |
| {{ "15.53125", "-0.1785759811388596991279739233477573236616687666102227187311862264495771634608666297275574790232136991" }}, |
| {{ "15.5625", "-0.1464980063716879847555275878278898667317766571375499828106145375100216949704230935552550931052323183" }}, |
| {{ "15.59375", "-0.1147124978452713735943481847220917786442201384229215777788278473922030662630912256721375261600875605" }}, |
| }}; |
| |
| unsigned max_err = 0; |
| for(unsigned k = 0; k < data.size(); k++) |
| { |
| T val = tan(T(data[k][0])); |
| T e = relative_error(val, T(data[k][1])); |
| unsigned err = e.template convert_to<unsigned>(); |
| if(err > max_err) |
| { |
| max_err = err; |
| } |
| val = tan(-T(data[k][0])); |
| e = relative_error(val, T(-T(data[k][1]))); |
| err = e.template convert_to<unsigned>(); |
| if(err > max_err) |
| { |
| max_err = err; |
| } |
| } |
| std::cout << "Max error was: " << max_err << std::endl; |
| } |
| |
| |
| int main() |
| { |
| #ifdef TEST_BACKEND |
| test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >(); |
| #endif |
| #ifdef TEST_MPF_50 |
| test<boost::multiprecision::mpf_float_50>(); |
| test<boost::multiprecision::mpf_float_100>(); |
| #endif |
| #ifdef TEST_MPFR_50 |
| test<boost::multiprecision::mpfr_float_50>(); |
| test<boost::multiprecision::mpfr_float_100>(); |
| #endif |
| #ifdef TEST_MPFI_50 |
| test<boost::multiprecision::mpfi_float_50>(); |
| test<boost::multiprecision::mpfi_float_100>(); |
| #endif |
| #ifdef TEST_CPP_DEC_FLOAT |
| test<boost::multiprecision::cpp_dec_float_50>(); |
| test<boost::multiprecision::cpp_dec_float_100>(); |
| #ifndef SLOW_COMPLER |
| // Some "peculiar" digit counts which stress our code: |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<void> > > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<void> > > >(); |
| // Check low multiprecision digit counts. |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<9> > >(); |
| test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<18> > >(); |
| #endif |
| #endif |
| #ifdef TEST_FLOAT128 |
| test<boost::multiprecision::float128>(); |
| #endif |
| #ifdef TEST_CPP_BIN_FLOAT |
| test<boost::multiprecision::cpp_bin_float_50>(); |
| #endif |
| return boost::report_errors(); |
| } |
| |
| |
| |
