| // (C) Copyright John Maddock 2006. |
| // 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> |
| |
| #include <boost/math/concepts/real_concept.hpp> |
| #include <boost/test/test_exec_monitor.hpp> |
| #include <boost/test/floating_point_comparison.hpp> |
| #include <boost/math/special_functions/sqrt1pm1.hpp> |
| #include <boost/math/special_functions/powm1.hpp> |
| #include <boost/math/tools/test.hpp> |
| #include <boost/array.hpp> |
| #include "functor.hpp" |
| |
| #include "handle_test_result.hpp" |
| |
| // |
| // DESCRIPTION: |
| // ~~~~~~~~~~~~ |
| // |
| // This file tests the functions powm1 and sqrt1pm1. |
| // The accuracy tests |
| // use values generated with NTL::RR at 1000-bit precision |
| // and our generic versions of these functions. |
| // |
| // Note that when this file is first run on a new platform many of |
| // these tests will fail: the default accuracy is 1 epsilon which |
| // is too tight for most platforms. In this situation you will |
| // need to cast a human eye over the error rates reported and make |
| // a judgement as to whether they are acceptable. Either way please |
| // report the results to the Boost mailing list. Acceptable rates of |
| // error are marked up below as a series of regular expressions that |
| // identify the compiler/stdlib/platform/data-type/test-data/test-function |
| // along with the maximum expected peek and RMS mean errors for that |
| // test. |
| // |
| |
| void expected_results() |
| { |
| // |
| // Define the max and mean errors expected for |
| // various compilers and platforms. |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| ".*", // test type(s) |
| ".*", // test data group |
| ".*", 5, 2); // 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; |
| } |
| |
| template <class T> |
| void test_powm1_sqrtp1m1(T, const char* type_name) |
| { |
| #define SC_(x) static_cast<T>(BOOST_JOIN(x, L)) |
| static const boost::array<boost::array<T, 2>, 141> sqrtp1m1_data = { |
| SC_(-0.990433037281036376953125), SC_(-0.902189148255607021082179865003660033379), |
| SC_(-0.928576648235321044921875), SC_(-0.7327485233629588435419837213946140663952), |
| SC_(-0.804919183254241943359375), SC_(-0.5583204592175928547330219789723812512248), |
| SC_(-0.780276477336883544921875), SC_(-0.5312532425038905348288090678272629719499), |
| SC_(-0.775070965290069580078125), SC_(-0.525733160857803152349794525146692520785), |
| SC_(-0.74602639675140380859375), SC_(-0.4960420620244223284705423670972348730775), |
| SC_(-0.72904598712921142578125), SC_(-0.4794675678972648545670296583048773096015), |
| SC_(-0.7162272930145263671875), SC_(-0.4672967927771847619430106324762494277417), |
| SC_(-0.68477380275726318359375), SC_(-0.4385499156267435234127335149836228483716), |
| SC_(-0.62323606014251708984375), SC_(-0.3861890031471553130754715740017444288273), |
| SC_(-0.576151371002197265625), SC_(-0.3489634196162225368137418186622322770468), |
| SC_(-0.5579319000244140625), SC_(-0.3351179804088653673227401220715512851566), |
| SC_(-0.44300353527069091796875), SC_(-0.2536780421766293214167684432407843582845), |
| SC_(-0.40594112873077392578125), SC_(-0.2292478535422518369418742953348121057781), |
| SC_(-0.38366591930389404296875), SC_(-0.2149305249240001453212315877592832894955), |
| SC_(-0.277411997318267822265625), SC_(-0.1499482352928545459530860365223688354153), |
| SC_(-0.202522933483123779296875), SC_(-0.1069842854031759981174720343292165991554), |
| SC_(-0.156477451324462890625), SC_(-0.08156516362044655434273010203540784115386), |
| SC_(-0.029248714447021484375), SC_(-0.01473288619127324715091701268111937769847), |
| SC_(0.1431564604442703013402649929484277542953e-29), SC_(0.7157823022213515067013249647418825993242e-30), |
| SC_(0.1791466932348087634896446282571611213266e-29), SC_(0.8957334661740438174482231412854044374117e-30), |
| SC_(0.6013619202535540063110633226832922483532e-29), SC_(0.3006809601267770031555316613411940789777e-29), |
| SC_(0.115805324961653822428570241697281798758e-28), SC_(0.5790266248082691121428512084847326346288e-29), |
| SC_(0.1422457400834001098175711728787848259007e-28), SC_(0.711228700417000549087855864391394898182e-29), |
| SC_(0.4970121018327539153628705477876439795096e-28), SC_(0.2485060509163769576814352738907342268877e-28), |
| SC_(0.9660079415057497591758174164417478444323e-28), SC_(0.483003970752874879587908708209209280428e-28), |
| SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.6164646566265910656881655476946945507336e-28), |
| SC_(0.3296523285617759312781860549364832953326e-27), SC_(0.1648261642808879656390930274546578154505e-27), |
| SC_(0.528364435768055252017009628713605422886e-27), SC_(0.26418221788402762600850481432190658932e-27), |
| SC_(0.886586057273120049620324386849842094685e-27), SC_(0.4432930286365600248101621933266666927236e-27), |
| SC_(0.2499669674831043259218157022821422146034e-26), SC_(0.1249834837415521629609078510629667512608e-26), |
| SC_(0.4131050397232622964314362671638736040881e-26), SC_(0.2065525198616311482157181333686170847381e-26), |
| SC_(0.7679738097881433551381658732998641759182e-26), SC_(0.3839869048940716775690829359127023723085e-26), |
| SC_(0.199929739820949207249437007767740538737e-25), SC_(0.9996486991047460362471850338422150855758e-26), |
| SC_(0.5151477415246978459754129800826163591626e-25), SC_(0.2575738707623489229877064867240932346063e-25), |
| SC_(0.101200734533556026342258477595279955025e-24), SC_(0.5060036726677801317112923751744139374608e-25), |
| SC_(0.2064292695896540981798546456623054911033e-24), SC_(0.1032146347948270490899273175045223276369e-24), |
| SC_(0.4063294332896333395257434433879773416284e-24), SC_(0.2031647166448166697628717010560376261299e-24), |
| SC_(0.8138195767936862452966745688936976428456e-24), SC_(0.406909788396843122648337201659060874841e-24), |
| SC_(0.9575550627132253801929510132578249716542e-24), SC_(0.478777531356612690096475392014950219861e-24), |
| SC_(0.2855160956298500804375620841706273850616e-23), SC_(0.1427580478149250402187809401860126128887e-23), |
| SC_(0.65201444297915461398563707001320281266e-23), SC_(0.3260072214895773069928180036030590895584e-23), |
| SC_(0.1310988374636350038320977491775043421995e-22), SC_(0.6554941873181750191604865975243736714241e-23), |
| SC_(0.2590288837798696209228010176465529547374e-22), SC_(0.1295144418899348104613996701237435743037e-22), |
| SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.1468889771096827601137038857784795823862e-22), |
| SC_(0.7863513178004503049754083414326234074965e-22), SC_(0.3931756589002251524876964413613741224383e-22), |
| SC_(0.1903818607087388763706780167350761726053e-21), SC_(0.9519093035436943818533447771092722109619e-22), |
| SC_(0.3812242142377350870566942975497647799754e-21), SC_(0.1906121071188675435283289822871922426703e-21), |
| SC_(0.5493133580141330277178034419485741501887e-21), SC_(0.2746566790070665138588640028286254797086e-21), |
| SC_(0.9672153634284186955666772243312215295852e-21), SC_(0.4836076817142093477832216739707042687854e-21), |
| SC_(0.1702169477623814384559878647986894129041e-20), SC_(0.8510847388119071922795771513771277983779e-21), |
| SC_(0.4817114569977399785676754474621208412799e-20), SC_(0.2408557284988699892835476663213068137742e-20), |
| SC_(0.7538352992756463183303278501219690799218e-20), SC_(0.3769176496378231591644535904879420358976e-20), |
| SC_(0.2596305715949999708394617609422128090557e-19), SC_(0.1298152857974999854188882800497720744566e-19), |
| SC_(0.4444587480324321591032923385589104015025e-19), SC_(0.2222293740162160795491768745456732380306e-19), |
| SC_(0.9715574921498573937069095571295029856174e-19), SC_(0.4857787460749286968416557290578449901693e-19), |
| SC_(0.2036598542733453787268262970278076551267e-18), SC_(0.1018299271366726893582284814835737930738e-18), |
| SC_(0.4248971931658660264162106698360155121463e-18), SC_(0.2124485965829330131855381318229788476899e-18), |
| SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.3260548743806729481275307007092796054895e-18), |
| SC_(0.1436126164096190058281493628911107407475e-17), SC_(0.718063082048095028882939519555349077068e-18), |
| SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.1559454450729630579993578498052878596544e-17), |
| SC_(0.3593346613595175715618300349429858897565e-17), SC_(0.1796673306797587856195132689035439820049e-17), |
| SC_(0.9445874854124767215374919304693435151421e-17), SC_(0.4722937427062383596534390682373393588305e-17), |
| SC_(0.2566182432094081539023303073498993853718e-16), SC_(0.1283091216047040761280036193264127770924e-16), |
| SC_(0.3363765695149349330660137891158001366421e-16), SC_(0.1681882847574674651186419380749519252198e-16), |
| SC_(0.1073581901339262605326457800103412409953e-15), SC_(0.53679095066963128825600266401137964529e-16), |
| SC_(0.186668406231853462907965823802669547149e-15), SC_(0.9333420311592672709834617625880158673234e-16), |
| SC_(0.3727540802657755688795382376099496468669e-15), SC_(0.1863770401328877670715685744569461355954e-15), |
| SC_(0.6211646767866855090717281839829411183018e-15), SC_(0.3105823383933427063051696310530511222847e-15), |
| SC_(0.1561186859754253464932505224282976996619e-14), SC_(0.7805934298771264278032012284733416682125e-15), |
| SC_(0.3092010764722992466335682593125966377556e-14), SC_(0.1546005382361495038101520151206746652194e-14), |
| SC_(0.6192850577371690132255643845837767003104e-14), SC_(0.3096425288685840272203037716324248888074e-14), |
| SC_(0.1047879028014987723427253740737796761096e-13), SC_(0.5239395140074924891505551783318071383455e-14), |
| SC_(0.1978473638988408750405412206418986897916e-13), SC_(0.989236819494199482255280888212449451182e-14), |
| SC_(0.4041816252346730475863978426787070930004e-13), SC_(0.2020908126173344817583717046094650765545e-13), |
| SC_(0.9410302262901834580155480125540634617209e-13), SC_(0.4705151131450806597841891098742774312111e-13), |
| SC_(0.1334530223958893535574077304772799834609e-12), SC_(0.6672651119794245056505554066901540498883e-13), |
| SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1331485106632107793053653966876952769505e-12), |
| SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.29602077625079163483389193486561174812e-12), |
| SC_(0.155163989296047688526414276566356420517e-11), SC_(0.7758199464799374943373933162927267207972e-12), |
| SC_(0.326923297461201300961874949280172586441e-11), SC_(0.1634616487304670519279090616362400067267e-11), |
| SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.1876892955289159453352533516401529801122e-11), |
| SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.4789582792863088185252592080679746767978e-11), |
| SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.9290837196763851538764282981715353513818e-11), |
| SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.2724742653688676823559737485578304836506e-10), |
| SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.3044759583301913769320592805847923970217e-10), |
| SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.6688723880097794765058899684143827289977e-10), |
| SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1277229433245854586915920539477320784002e-9), |
| SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.4642802530240543332889135775318577029962e-9), |
| SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.8491137234171087978551371134983090509552e-9), |
| SC_(0.339355921141759608872234821319580078125e-8), SC_(0.1696779604269267531629088042873986404561e-8), |
| SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.3156864320521319970871232105329124668304e-8), |
| SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.4191632365743462521529019590756957227221e-8), |
| SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.9813155573280803193195787399755096477409e-8), |
| SC_(0.5256384838503436185419559478759765625e-7), SC_(0.2628192384714742037346966666026188341227e-7), |
| SC_(0.116242290459922514855861663818359375e-6), SC_(0.5812114354092759417537613189484537667262e-7), |
| SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.8884602525353202473263890111106254261705e-7), |
| SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1233155794716463747702014149912298889881e-6), |
| SC_(0.7932688959044753573834896087646484375e-6), SC_(0.3966343692928262265327186740527956086072e-6), |
| SC_(0.1372093493046122603118419647216796875e-5), SC_(0.6860465111931535414103361330991297079332e-6), |
| SC_(0.214747751670074649155139923095703125e-5), SC_(0.1073738181893531617762304794194699568343e-5), |
| SC_(0.527022712049074470996856689453125e-5), SC_(0.2635110088342783512028120843144783486949e-5), |
| SC_(0.9233162927557714283466339111328125e-5), SC_(0.461657080741584719962950298693491037714e-5), |
| SC_(0.269396477960981428623199462890625e-4), SC_(0.1346973318119308516416495011442959614762e-4), |
| SC_(0.3208058114978484809398651123046875e-4), SC_(0.1604016193149502975581143111396377659995e-4), |
| SC_(0.00010957030463032424449920654296875), SC_(0.5478365169091582645735757270110530879622e-4), |
| SC_(0.000126518702018074691295623779296875), SC_(0.6325735026285620681070344590408428362373e-4), |
| SC_(0.00028976381872780621051788330078125), SC_(0.0001448714155003885621472683658275189243597), |
| SC_(0.000687857042066752910614013671875), SC_(0.0003438693979519525361574726383087724411954), |
| SC_(0.00145484809763729572296142578125), SC_(0.0007271596682270997885618336103424497281234), |
| SC_(0.0073254108428955078125), SC_(0.003656022172385267560713803761753901548099), |
| SC_(0.09376299381256103515625), SC_(0.04583124537975104196281645139037475336575), |
| SC_(0.0944411754608154296875), SC_(0.04615542605332570615786127417302399776704), |
| SC_(0.264718532562255859375), SC_(0.1245970534205822199491885900676517027912), |
| SC_(0.27952671051025390625), SC_(0.1311616641799057655376985599143742875242), |
| SC_(0.31148135662078857421875), SC_(0.1451992650280511659331021017070743457453), |
| SC_(0.3574702739715576171875), SC_(0.1651052630434546351309425398611544399279), |
| SC_(0.362719058990478515625), SC_(0.1673555837834839069815597770182209283592), |
| SC_(0.45167791843414306640625), SC_(0.2048559741455171397876451754340651729329), |
| SC_(0.58441460132598876953125), SC_(0.2587353182166570039327003862804562417757), |
| SC_(0.59585726261138916015625), SC_(0.263272441958340655449252054139087309968), |
| SC_(0.5962116718292236328125), SC_(0.2634127084326893190571263246997038824839), |
| SC_(0.6005609035491943359375), SC_(0.265132761234643838648662687260938123223), |
| SC_(0.62944734096527099609375), SC_(0.2764980771490691893425893413189776581002), |
| SC_(0.67001712322235107421875), SC_(0.2922914234886615056408835783570718269519), |
| SC_(0.6982586383819580078125), SC_(0.3031725282486421443925178739003813209589), |
| SC_(0.75686132907867431640625), SC_(0.3254664571684469135448954017993676523574), |
| SC_(0.81158387660980224609375), SC_(0.3459509190939327287182180832834475919551), |
| SC_(0.826751708984375), SC_(0.3515737896927326105907938446356122609441), |
| SC_(0.83147108554840087890625), SC_(0.3533185454830658156956304096558121255029), |
| SC_(0.8679864406585693359375), SC_(0.3667430046129994134441282712127036765511), |
| SC_(0.91433393955230712890625), SC_(0.3835945719582406373102286771719657103388), |
| SC_(0.91501367092132568359375), SC_(0.3838401898056457601350544781643172326518), |
| SC_(0.918984889984130859375), SC_(0.3852743013512272831269535677278325535267), |
| SC_(0.92977702617645263671875), SC_(0.3891641465919182859360893492188078577616), |
| SC_(0.93538987636566162109375), SC_(0.3911829054317989358513931994433199352401), |
| SC_(0.93773555755615234375), SC_(0.3920257029078710024155036194055376074007), |
| SC_(0.94118559360504150390625), SC_(0.3932643660142325996680401116017235829116), |
| SC_(0.96221935749053955078125), SC_(0.4007924034240546775728864480529865192659), |
| SC_(0.98576259613037109375), SC_(0.4091708896121758495875515950932191750449), |
| SC_(0.99292266368865966796875), SC_(0.4117091285702801135545007937655927942821), |
| }; |
| #undef SC_ |
| |
| #define SC_(x) static_cast<T>(BOOST_JOIN(x, L)) |
| static const boost::array<boost::array<T, 3>, 1400> powm1_data = { |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4876113153308343652049349438365788782568e-28), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.6101991796549119337733033929476086235147e-28), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.2048324441766037485142714404837079817647e-27), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3944494481885382670819636026287935618847e-27), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.1692894082166527210362866376720838911671e-26), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1232929313253182131376331095427391968754e-27), SC_(-0.4199533030361316903341770129910084958631e-26), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2499669674831043259218157022821422146034e-26), SC_(-0.851423131205077246153257242575159396693e-25), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7679738097881433551381658732998641759182e-26), SC_(-0.261582829282236901328884539002832986633e-24), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2855160956298500804375620841706273850616e-23), SC_(-0.9725085302202836634236273890970136659468e-22), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2590288837798696209228010176465529547374e-22), SC_(-0.8822893101478278733146155237640398711321e-21), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2937779542193655202274099291941187976629e-22), SC_(-0.1000649598540977920935091326953457942208e-20), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7863513178004503049754083414326234074965e-22), SC_(-0.2678424705352926224139081344679444879469e-20), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1903818607087388763706780167350761726053e-21), SC_(-0.6484677619663470968358777401078973025876e-20), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3812242142377350870566942975497647799754e-21), SC_(-0.1298504028134944266344521819289603363198e-19), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.1871039617763820057590094637996686252126e-19), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9672153634284186955666772243312215295852e-21), SC_(-0.3294473432116758998094638207256180094583e-19), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.5797831933845967032001409153808505427486e-19), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.1513889866135372642811595930728137815273e-17), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.4891650475869226303643170206367209825168e-16), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1062344840825147041561189485134686674784e-15), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3593346613595175715618300349429858897565e-17), SC_(-0.1223945090048411651974452688903537147646e-15), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9445874854124767215374919304693435151421e-17), SC_(-0.3217399653341720695630524182811530497325e-15), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.114574655589157486912055633512820155344e-14), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1073581901339262605326457800103412409953e-15), SC_(-0.3656773025840533327467103325113205753957e-14), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3727540802657755688795382376099496468669e-15), SC_(-0.1269653544166010514919541179082417894329e-13), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6211646767866855090717281839829411183018e-15), SC_(-0.2115775453968538439661164062909478793222e-13), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1561186859754253464932505224282976996619e-14), SC_(-0.5317625036268033276607060773206517931366e-13), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1047879028014987723427253740737796761096e-13), SC_(-0.3569225374615943825992302718383009611711e-12), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.673896330253118868079779235488630600479e-12), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4041816252346730475863978426787070930004e-13), SC_(-0.1376700243226680691549667180741589712713e-11), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.3205283121576780981640095118048982901968e-11), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.4545600218337299481258164553284154943185e-11), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.9070456229087110845090862250063546365371e-11), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.2016577940297158071169597347971748413736e-10), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1113547363379608255313626394695583529731e-9), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.1278593002042478917504524915640565559874e-9), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.3262800376442197422488996705022038458178e-9), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1858167439361402273334533674642443656921e-10), SC_(-0.6329183231503080899469654537111874935801e-9), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.1856172392031744263095629658180062804824e-8), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.2074177049579756457337028786392419850624e-8), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2554458866654840676346793770790100097656e-9), SC_(-0.8700851073320290645945712060227430593679e-8), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9285605062636648199259070679545402526855e-9), SC_(-0.3162809427238687518730427707811416855358e-7), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1698227447555211711005540564656257629395e-8), SC_(-0.5784404650086212080717891696990416782702e-7), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1155894585519911283131451474518816660213e-6), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.2150545767594101004999522536841406461754e-6), |
| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.8383264749056706932606175541877746582031e-8), SC_(-0.2855459093319640788691378100921481385269e-6), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1776920584006802528165280818939208984375e-6), SC_(-0.6052426544092270726332077550989562797738e-5), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3208058114978484809398651123046875e-4), SC_(-0.001092113543483231235223797564026187686493), |
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| SC_(0.161179845478123719842988847972264920827e-14), SC_(0.002847635187208652496337890625), SC_(-0.09243901554235025144966433539780526547712), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4844007908534772131394346887325243880064e-28), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.5759657919515339462877754431293255193149e-19), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.6694592702517320235988690147574107350722e-12), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.3184178935527112257177727440556197379289e-11), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.4515671132800559230661721186901784591853e-11), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.9010734641772444722067928174106284922519e-11), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.2003300412409264445197987894935007034666e-10), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.5250308570899088268956597325889034576883e-10), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1106215558406617834692768957077652441882e-9), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.1270174505587799408364463356223313843969e-9), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.3241317485987752496947990132937528973582e-9), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.1843951004410181545727179659293501080432e-8), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1148283958919762100905636417765440193453e-6), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.2136386171883463991491417449073061348682e-6), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.8383264749056706932606175541877746582031e-8), SC_(-0.2836658217038255820052319695862381911414e-6), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1962631124285962869180366396903991699219e-7), SC_(-0.6640983928550264487076716288393362934515e-6), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.116242290459922514855861663818359375e-6), SC_(-0.3933301124986543207818818644487273191085e-5), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.1372093493046122603118419647216796875e-5), SC_(-0.4642666788425309547022984501278551973067e-4), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.269396477960981428623199462890625e-4), SC_(-0.000911145799218773746646444219615156988864), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.00010957030463032424449920654296875), SC_(-0.003700683345993665188517190883989775516663), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.000126518702018074691295623779296875), SC_(-0.004271882870878222814910007056691176648148), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.00028976381872780621051788330078125), SC_(-0.009756874208170178110266341097702108886193), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.00145484809763729572296142578125), SC_(-0.04803587273567413116934075718056596923777), |
| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.002847635187208652496337890625), SC_(-0.09185923466664269951387331370012753321941), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.011621631681919097900390625), SC_(-0.3251352635416613049576932478851735637997), |
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| SC_(0.201701245224235325981254618454840965569e-14), SC_(0.903765499591827392578125), SC_(-0.9999999999999476516969892665713129740181), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4670646585263469940709901808955382437758e-28), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.5844869930575957226200600044822824983155e-28), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.19620134436288115149103308253280183024e-27), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3778283871429173295224218281033374232068e-27), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.4640933270681455745331795406744730255659e-27), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.1792198935267128535562926214858722343728e-19), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.55535265635450219027295966056920134225e-19), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.4817114569977399785676754474621208412799e-20), SC_(-0.157163984407441759959674443782140863952e-18), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.7538352992756463183303278501219690799218e-20), SC_(-0.2459475636297617006441590683912433787683e-18), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.1450098533692296614683964680209407156037e-17), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.4248971931658660264162106698360155121463e-18), SC_(-0.1386276678111046853303166140297811374299e-16), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.4685529205965962627641463132289456691771e-16), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1017580426698205682533290718321643209762e-15), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.2566182432094081539023303073498993853718e-16), SC_(-0.8372469657622804501545876592687226293867e-15), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.1097467813112902235711533181290032884344e-14), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.4354060595035063074489098732513294021707e-11), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.8688251088765620667457021296035152000077e-11), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.1931604656134805361799836893722292796705e-10), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.5062406226683881116608414737604687082455e-10), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1066625409785978045275661888117913045346e-9), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.1777958175347169005832208106622024055763e-8), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.1986776690713578859161025588821554119682e-8), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.2059927441298561653785769202991913439107e-6), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.8383264749056706932606175541877746582031e-8), SC_(-0.2735137582842921999867218511345265044419e-6), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.9233162927557714283466339111328125e-5), SC_(-0.0003011973465610182074617306088919186693139), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.269396477960981428623199462890625e-4), SC_(-0.0008785512954806844971925787811026104679626), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.3208058114978484809398651123046875e-4), SC_(-0.001046118833759536454554604741205345872518), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.000126518702018074691295623779296875), SC_(-0.004119312560332169043533898018737790564652), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.002847635187208652496337890625), SC_(-0.08872213856761157161353738758915939189135), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.011621631681919097900390625), SC_(-0.315570268386307973049039982116169159971), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.0257236398756504058837890625), SC_(-0.5679715214637885742711302281747963865236), |
| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.0560617186129093170166015625), SC_(-0.8394386222531893115849360215766369975108), |
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| SC_(0.6770733299921779385632802927830198314041e-14), SC_(0.2401093542575836181640625), SC_(-0.9996039015988134850627985522402102650313), |
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| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.5727475336975031881646903362900562654118e-28), |
| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.1922606275703748803999379921456053425121e-27), |
| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3702396793553404218237800202711211418232e-27), |
| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.4547719823382898701812602276896112982996e-27), |
| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.1588990845448724714046351014391003029543e-26), |
| SC_(0.1303852045862058384173565173114184290171e-13), SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.3088411268102136096173518347405241169365e-26), |
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| SC_(9.68867778778076171875), SC_(0.527022712049074470996856689453125e-5), SC_(0.1196853588100977502339779488819564685125e-4), |
| SC_(9.68867778778076171875), SC_(0.9233162927557714283466339111328125e-5), SC_(0.2096834472868302910410196802704006676419e-4), |
| SC_(9.68867778778076171875), SC_(0.269396477960981428623199462890625e-4), SC_(0.6118067920858328215848432186906668843509e-4), |
| SC_(9.68867778778076171875), SC_(0.3208058114978484809398651123046875e-4), SC_(0.728563051879196577689828782571903259951e-4), |
| SC_(9.68867778778076171875), SC_(0.00010957030463032424449920654296875), SC_(0.0002488605167115786508690708436538612267867), |
| SC_(9.68867778778076171875), SC_(0.000126518702018074691295623779296875), SC_(0.0002873599340757661525877158215704810459439), |
| SC_(9.68867778778076171875), SC_(0.00028976381872780621051788330078125), SC_(0.0006582580089946178862548800972604646079047), |
| SC_(9.68867778778076171875), SC_(0.000687857042066752910614013671875), SC_(0.001563315133764469862768389959281037577749), |
| SC_(9.68867778778076171875), SC_(0.00145484809763729572296142578125), SC_(0.003309362765364723055307278727456538237784), |
| SC_(9.68867778778076171875), SC_(0.002847635187208652496337890625), SC_(0.006487815096079959006202372484557638978379), |
| SC_(9.68867778778076171875), SC_(0.0056468211114406585693359375), SC_(0.01290626953766988799660445158177424847916), |
| SC_(9.68867778778076171875), SC_(0.011621631681919097900390625), SC_(0.02674359636941844621991721651837741451166), |
| SC_(9.68867778778076171875), SC_(0.0257236398756504058837890625), SC_(0.06015731222731434671073651753326632370858), |
| SC_(9.68867778778076171875), SC_(0.0560617186129093170166015625), SC_(0.1357733748610437010694097215927829841061), |
| SC_(9.68867778778076171875), SC_(0.106835305690765380859375), SC_(0.2745822634838372037418174975910269667509), |
| SC_(9.68867778778076171875), SC_(0.2401093542575836181640625), SC_(0.7250883224868308476529921117348408126984), |
| SC_(9.68867778778076171875), SC_(0.438671648502349853515625), SC_(1.707985158316040663526167707818201486792), |
| SC_(9.68867778778076171875), SC_(0.903765499591827392578125), SC_(6.786671267376742594913276377075578069747), |
| }; |
| #undef SC_ |
| |
| |
| using namespace std; |
| |
| typedef T (*func_t)(const T&); |
| func_t f = &boost::math::sqrt1pm1<T>; |
| |
| boost::math::tools::test_result<T> result = boost::math::tools::test( |
| sqrtp1m1_data, |
| bind_func(f, 0), |
| extract_result(1)); |
| |
| std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n" |
| "Test results for type " << type_name << std::endl << std::endl; |
| handle_test_result(result, sqrtp1m1_data[result.worst()], result.worst(), type_name, "boost::math::sqrt1pm1", "sqrt1pm1"); |
| |
| typedef T (*func2_t)(T const, T const); |
| func2_t f2 = &boost::math::powm1<T,T>; |
| result = boost::math::tools::test( |
| powm1_data, |
| bind_func(f2, 0, 1), |
| extract_result(2)); |
| handle_test_result(result, powm1_data[result.worst()], result.worst(), type_name, "boost::math::powm1", "powm1"); |
| } |
| |
| int test_main(int, char* []) |
| { |
| expected_results(); |
| BOOST_MATH_CONTROL_FP; |
| test_powm1_sqrtp1m1(1.0F, "float"); |
| test_powm1_sqrtp1m1(1.0, "double"); |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| test_powm1_sqrtp1m1(1.0L, "long double"); |
| #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS |
| test_powm1_sqrtp1m1(boost::math::concepts::real_concept(), "real_concept"); |
| #endif |
| #else |
| std::cout << "<note>The long double tests have been disabled on this platform " |
| "either because the long double overloads of the usual math functions are " |
| "not available at all, or because they are too inaccurate for these tests " |
| "to pass.</note>" << std::cout; |
| #endif |
| return 0; |
| } |
| |
| |
