// Copyright 2018 Ulf Adams // // The contents of this file may be used under the terms of the Apache License, // Version 2.0. // // (See accompanying file LICENSE-Apache or copy at // http://www.apache.org/licenses/LICENSE-2.0) // // Alternatively, the contents of this file may be used under the terms of // the Boost Software License, Version 1.0. // (See accompanying file LICENSE-Boost or copy at // https://www.boost.org/LICENSE_1_0.txt) // // Unless required by applicable law or agreed to in writing, this software // is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY // KIND, either express or implied. #include #include #include #include #include "gtest.hpp" namespace boost { namespace json { namespace detail { namespace ryu { struct test_case { double value; uint32_t fixed_precision; const char* fixed_string; uint32_t exp_precision; const char* exp_string; }; // These values test every power of ten that's within the range of doubles. const test_case all_powers_of_ten[] = { { 1e-323, 1073, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000098813129168249308835313758573644274" "473011960522864952885117136500135101454041750373059967272327198475959312939089143546185331" "342071187959279754959202156375625260142638062280905569163433569796420737743727211399746144" "610001277481830712996877462494679454633923028006343077079614825247713118234205331711337353" "637407912062124986389054318298491065861091308880225496025941999908386397881816083312664904" "951429573802945356031871047722310026960705298694403875805362142149834066644536895066714416" "648638721847657869167361202120230123396195061566845546366584958099650494615527518544957493" 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"368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103" "083735673849899204570498157510656", 302, "1.0000000000000000762970307908489492534734685515065681170160173420621138028812579448414218" "896469178407663974757713854876137221038784479993829181561135051983075016764985648898162653" "636809541460731423515105837345898689082515565906361771586320528262239050928418343985861710" "3083735673849899204570498157510656e+302" }, { 1e303, 0, "100000000000000000016176507678645643821266864623165943829549501710111749922573874786526024" "303421391525377977356818033741602744582056777919964339154160602606861115074612228497617725" "665004420052727680732706769046211266142750019705122648989826067876339144937608854729232081" "4127957486330655468919122263277568", 303, "1.0000000000000000001617650767864564382126686462316594382954950171011174992257387478652602" "430342139152537797735681803374160274458205677791996433915416060260686111507461222849761772" "566500442005272768073270676904621126614275001970512264898982606787633914493760885472923208" "14127957486330655468919122263277568e+303" }, { 1e304, 0, "999999999999999939253552505536462186004028722011732495319077157132320456301323390284330925" "744050774843685611805616217257871719374263603053023579884086688277498730144168201104106771" "025316244090584371980254855159907663968255082183265954911226960794980534603491866257240640" "7604380845959862074904348138143744", 303, "9.9999999999999993925355250553646218600402872201173249531907715713232045630132339028433092" "574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677" "102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064" "07604380845959862074904348138143744e+303" }, { 1e305, 0, "999999999999999939253552505536462186004028722011732495319077157132320456301323390284330925" "744050774843685611805616217257871719374263603053023579884086688277498730144168201104106771" "025316244090584371980254855159907663968255082183265954911226960794980534603491866257240640" "76043808459598620749043481381437440", 303, "9.9999999999999993925355250553646218600402872201173249531907715713232045630132339028433092" "574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677" "102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064" "07604380845959862074904348138143744e+304" }, { 1e306, 0, "100000000000000001721606459673645482883108782501323898232889201789238067124457504798792045" "187545959456860613886169829106031104922553294852069693880571144065012262851466942846035699" "262496802832955068922417528434673006071608882921425543969463011979454650551241561798214326" "2670862918816362862119154749127262208", 306, "1.0000000000000000172160645967364548288310878250132389823288920178923806712445750479879204" "518754595945686061388616982910603110492255329485206969388057114406501226285146694284603569" "926249680283295506892241752843467300607160888292142554396946301197945465055124156179821432" "62670862918816362862119154749127262208e+306" }, { 1e307, 0, "999999999999999986031059760256457771700264183812636387524966073588356585267274384906484641" "422896066678637928039265461539335317285025210333627595237061539701073069166468937517856903" "985107314633964162326607112672001102016955330401859645781268856194720117148846117292182213" "9066929851282122002676667750021070848", 306, "9.9999999999999998603105976025645777170026418381263638752496607358835658526727438490648464" "142289606667863792803926546153933531728502521033362759523706153970107306916646893751785690" "398510731463396416232660711267200110201695533040185964578126885619472011714884611729218221" "39066929851282122002676667750021070848e+306" }, { 1e308, 0, "100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328" "978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697" "489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105" "291802893207873272974885715430223118336", 308, "1.0000000000000000109790636294404554174049230967731184633681068290315758540491149153716332" "897849468889906124966972117251561159028374314008832830700919814604603127166450293302718569" "748969958855904333838446616500117842689762621294517762809119578670745812278397017178441510" "5291802893207873272974885715430223118336e+308" }, }; // These values test every binary exponent (which would be more obvious with hexfloats). // The mantissas were randomly generated. const test_case all_binary_exponents[] = { { 8.667315560151837e-309, 1074, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000086673155601518373204745615934992065170006880827787" "289636461039456117181014435225731420739682086431846196084055971776197678140145261761209000" "307554293026077781251866965924172972401068174664168662349984846821559496820210791534029454" "719229889718739090124407402205278009112442448229109027730844488969500029631608590626296609" "882885374947604962348974323036144310657614326754120115556509383797380330234783520222245524" "583876671362471849408043185861726089996302842330553125394555226033512393900059324065691066" "929863218174741264971497401985883562857614025818809269477830515183406516097939800531603134" "250276197118962555458534787484939232126232153092624291889535798750202922731324119623206905" "40877906325907159510518339181289381166448950420677643791123045957647264003753662109375", 765, "8.6673155601518373204745615934992065170006880827787289636461039456117181014435225731420739" "682086431846196084055971776197678140145261761209000307554293026077781251866965924172972401" "068174664168662349984846821559496820210791534029454719229889718739090124407402205278009112" "442448229109027730844488969500029631608590626296609882885374947604962348974323036144310657" "614326754120115556509383797380330234783520222245524583876671362471849408043185861726089996" "302842330553125394555226033512393900059324065691066929863218174741264971497401985883562857" "614025818809269477830515183406516097939800531603134250276197118962555458534787484939232126" "232153092624291889535798750202922731324119623206905408779063259071595105183391812893811664" "48950420677643791123045957647264003753662109375e-309" }, { 3.402496288854889e-308, 1072, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" 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"909422095574730572935613200283098897446182155845928463122618268243968486785888671875", 764, "3.4024962888548891870780380223721963415936057267215768489022880931036340709664117046765987" "977180526441192766798023337784933816139839636198863534356185968647800204165829627916726963" "354988718039868146708504836604591566763709515096631215158510441977866477856881896988317751" "492854297037574001592689593245951090014597401089987064349011889817819942001416735892399032" "878298656443356501797788246594163297203747575928614864543561706962715019056066100446376015" "327680065456774820369190819330786801827496190387850851976546308782392588036109226798807318" "461295595610061523269781283221357431760026778081133972233612002223605221826818897235077493" "324279732240457324020870731250050608330505053074385990942209557473057293561320028309889744" "6182155845928463122618268243968486785888671875e-308" }, { 5.674095874064163e-308, 1068, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000567409587406416315113843845367765611463402272605773" "579309805044238876264896175716378374414880313837549557854086594144651757106826827082053224" "819137614951757164822186954713633389739294124192094600295957101411513892229222775656755797" "001569791833154964609151380870932502682826741267747086941264281692372695316993299328269619" "707002817860044551711084995833922394577051992453091701226019440181486036346841321732890759" "392314160217956773831481083699810908312929539145137356475139290129992626736771448814573026" "906644585538148884867233811394239534391479312597313753909725290390851223382408696877615721" "229933837546642765730256661271873445479155973842968298711175582031872758195259747569288096" "49794138442664770396059164903717939140888326665645990942721255123615264892578125", 760, "5.6740958740641631511384384536776561146340227260577357930980504423887626489617571637837441" "488031383754955785408659414465175710682682708205322481913761495175716482218695471363338973" "929412419209460029595710141151389222922277565675579700156979183315496460915138087093250268" "282674126774708694126428169237269531699329932826961970700281786004455171108499583392239457" "705199245309170122601944018148603634684132173289075939231416021795677383148108369981090831" "292953914513735647513929012999262673677144881457302690664458553814888486723381139423953439" "147931259731375390972529039085122338240869687761572122993383754664276573025666127187344547" "915597384296829871117558203187275819525974756928809649794138442664770396059164903717939140" "888326665645990942721255123615264892578125e-308" }, { 1.5540526173622352e-307, 1072, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000001554052617362235237599344524566268329346499410781820" "240377373211399724292118817533439328423661067387776003211400451369308809328471980946673335" "155886367588496521935894886476286230147591992600623876485166587589022024414313323949909142" "159529537456605070198347779192598243095403947592025125119457352938379814319820278343589774" "730296120303664088965600921426179216076245193704452662458429835783277758594438863220080552" "115251534233085611706230850346463513607451896716425893805860802544849432794739623937039499" "266977883786031463582126957812370158648390166491038532530966495890940486561351377873613480" 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1.990320005135143e-307, 1071, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000001990320005135142880561598924319312704477072269270245" "936137839955953465230545195415127755767083901447533947828678376962884082735327248251273418" "654936650677742426069650358358476393365497312325560741512426890538065472696077887804553644" "884150043878406627507745699995507099147377175105877153481526330603572499358626260756240816" "174503154885783858040748854022822093131458054271092923292182143582852711297479202477529680" "286154546026438265660119066696435931082590283442526670222949478974719486467415453971990534" "454470599633245287624684280561552964343633309851882307590384491177630806444328543647075668" "536514853052975155234251635207407297067719395388405831420311524001253621714021938613841338" "24689620350520245119381221877393126954932690841904019407593295909464359283447265625", 764, "1.9903200051351428805615989243193127044770722692702459361378399559534652305451954151277557" "670839014475339478286783769628840827353272482512734186549366506777424260696503583584763933" "654973123255607415124268905380654726960778878045536448841500438784066275077456999955070991" "473771751058771534815263306035724993586262607562408161745031548857838580407488540228220931" "314580542710929232921821435828527112974792024775296802861545460264382656601190666964359310" "825902834425266702229494789747194864674154539719905344544705996332452876246842805615529643" "436333098518823075903844911776308064443285436470756685365148530529751552342516352074072970" "677193953884058314203115240012536217140219386138413382468962035052024511938122187739312695" "4932690841904019407593295909464359283447265625e-307" }, { 5.107418539046847e-307, 1070, "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000005107418539046846927047373682830132718075006256443666" "199351873286782041441258279676361749462207484160512079462800015135124764152600937802744585" "502617458841717705897103693609800077882088804203101790655437325897778001026322540349851343" "686142888941809812697130982668148593939074359425039990092398040350897342987033684062247889" "191004578703872406975692839527795367059563095996889887433505152749668146313379417615714580" "759187210921661443825061507972674365098970496562064290123980918945039727952980165470646623" "479202855278722883908955176044191810941642460040564082188712438936906291867000270523960550" "332664002210898302673308442754015967789648657719964005852935700696823519264465123996032196" "8186374102417320609944271040560945042782563241257065556055749766528606414794921875", 763, "5.1074185390468469270473736828301327180750062564436661993518732867820414412582796763617494" "622074841605120794628000151351247641526009378027445855026174588417177058971036936098000778" "820888042031017906554373258977780010263225403498513436861428889418098126971309826681485939" "390743594250399900923980403508973429870336840622478891910045787038724069756928395277953670" "595630959968898874335051527496681463133794176157145807591872109216614438250615079726743650" "989704965620642901239809189450397279529801654706466234792028552787228839089551760441918109" "416424600405640821887124389369062918670002705239605503326640022108983026733084427540159677" "896486577199640058529357006968235192644651239960321968186374102417320609944271040560945042" "782563241257065556055749766528606414794921875e-307" }, { 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"711865946685512629849272947937037080011581203332426168619415862460756069100292337181478478" "510557557506918137532825769631310693972479511748662180221113394836543075210717029725044946" "195117678217681054268005181200990732288", 308, "1.7026387749989901049352803345551957967504365590849171315485933257848664869760810216798351" "071186594668551262984927294793703708001158120333242616861941586246075606910029233718147847" "851055755750691813753282576963131069397247951174866218022111339483654307521071702972504494" "6195117678217681054268005181200990732288e+308" }, }; static double int64Bits2Double(uint64_t bits) { double f; memcpy(&f, &bits, sizeof(double)); return f; } static double ieeeParts2Double(const bool sign, const uint32_t ieeeExponent, const uint64_t ieeeMantissa) { BOOST_ASSERT(ieeeExponent <= 2047); BOOST_ASSERT(ieeeMantissa <= ((std::uint64_t)1 << 53) - 1); return int64Bits2Double(((std::uint64_t)sign << 63) | ((std::uint64_t)ieeeExponent << 52) | ieeeMantissa); } TEST(D2fixedTest, Basic) { EXPECT_STREQ( "3291009114715486435425664845573426149758869524108446525879746560", d2fixed(ieeeParts2Double(false, 1234, 99999), 0)); } TEST(D2fixedTest, Zero) { EXPECT_STREQ(d2fixed(0.0, 4), "0.0000"); EXPECT_STREQ(d2fixed(0.0, 3), "0.000" ); EXPECT_STREQ(d2fixed(0.0, 2), "0.00" ); EXPECT_STREQ(d2fixed(0.0, 1), "0.0" ); EXPECT_STREQ(d2fixed(0.0, 0), "0" ); } TEST(D2fixedTest, MinMax) { EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 0, 1), 1074), "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000049406564584124654417656879286822137" "236505980261432476442558568250067550727020875186529983636163599237979656469544571773092665" "671035593979639877479601078187812630071319031140452784581716784898210368871863605699873072" "305000638740915356498438731247339727316961514003171538539807412623856559117102665855668676" "818703956031062493194527159149245532930545654440112748012970999954193198940908041656332452" "475714786901472678015935523861155013480352649347201937902681071074917033322268447533357208" "324319360923828934583680601060115061698097530783422773183292479049825247307763759272478746" "560847782037344696995336470179726777175851256605511991315048911014510378627381672509558373" "89733598993664809941164205702637090279242767544565229087538682506419718265533447265625"); EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 2046, 0xFFFFFFFFFFFFFu), 0), "179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558" "632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245" "490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168" "738177180919299881250404026184124858368"); } TEST(D2fixedTest, AllPowersOfTen) { for (const auto& tc : all_powers_of_ten) { EXPECT_STREQ(d2fixed(tc.value, tc.fixed_precision), tc.fixed_string); } } TEST(D2fixedTest, RoundToEven) { EXPECT_STREQ(d2fixed(0.125, 3), "0.125"); EXPECT_STREQ(d2fixed(0.125, 2), "0.12" ); EXPECT_STREQ(d2fixed(0.375, 3), "0.375"); EXPECT_STREQ(d2fixed(0.375, 2), "0.38" ); } TEST(D2fixedTest, RoundToEvenInteger) { EXPECT_STREQ(d2fixed(2.5, 1), "2.5"); EXPECT_STREQ(d2fixed(2.5, 0), "2" ); EXPECT_STREQ(d2fixed(3.5, 1), "3.5"); EXPECT_STREQ(d2fixed(3.5, 0), "4" ); } TEST(D2fixedTest, NonRoundToEvenScenarios) { EXPECT_STREQ(d2fixed(0.748046875, 3), "0.748"); EXPECT_STREQ(d2fixed(0.748046875, 2), "0.75" ); EXPECT_STREQ(d2fixed(0.748046875, 1), "0.7" ); // 0.75 would round to "0.8", but this is smaller EXPECT_STREQ(d2fixed(0.2509765625, 3), "0.251"); EXPECT_STREQ(d2fixed(0.2509765625, 2), "0.25" ); EXPECT_STREQ(d2fixed(0.2509765625, 1), "0.3" ); // 0.25 would round to "0.2", but this is larger EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 1021, 1), 54), "0.250000000000000055511151231257827021181583404541015625"); EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 1021, 1), 3), "0.250"); EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 1021, 1), 2), "0.25" ); EXPECT_STREQ(d2fixed(ieeeParts2Double(false, 1021, 1), 1), "0.3" ); // 0.25 would round to "0.2", but this is larger (again) } TEST(D2fixedTest, VaryingPrecision) { EXPECT_STREQ(d2fixed(1729.142857142857, 47), "1729.14285714285711037518922239542007446289062500000"); EXPECT_STREQ(d2fixed(1729.142857142857, 46), "1729.1428571428571103751892223954200744628906250000"); EXPECT_STREQ(d2fixed(1729.142857142857, 45), "1729.142857142857110375189222395420074462890625000"); EXPECT_STREQ(d2fixed(1729.142857142857, 44), "1729.14285714285711037518922239542007446289062500"); EXPECT_STREQ(d2fixed(1729.142857142857, 43), "1729.1428571428571103751892223954200744628906250"); EXPECT_STREQ(d2fixed(1729.142857142857, 42), "1729.142857142857110375189222395420074462890625"); EXPECT_STREQ(d2fixed(1729.142857142857, 41), "1729.14285714285711037518922239542007446289062"); EXPECT_STREQ(d2fixed(1729.142857142857, 40), "1729.1428571428571103751892223954200744628906"); EXPECT_STREQ(d2fixed(1729.142857142857, 39), "1729.142857142857110375189222395420074462891"); EXPECT_STREQ(d2fixed(1729.142857142857, 38), "1729.14285714285711037518922239542007446289"); EXPECT_STREQ(d2fixed(1729.142857142857, 37), "1729.1428571428571103751892223954200744629"); EXPECT_STREQ(d2fixed(1729.142857142857, 36), "1729.142857142857110375189222395420074463"); EXPECT_STREQ(d2fixed(1729.142857142857, 35), "1729.14285714285711037518922239542007446"); EXPECT_STREQ(d2fixed(1729.142857142857, 34), "1729.1428571428571103751892223954200745"); EXPECT_STREQ(d2fixed(1729.142857142857, 33), "1729.142857142857110375189222395420074"); EXPECT_STREQ(d2fixed(1729.142857142857, 32), "1729.14285714285711037518922239542007"); EXPECT_STREQ(d2fixed(1729.142857142857, 31), "1729.1428571428571103751892223954201"); EXPECT_STREQ(d2fixed(1729.142857142857, 30), "1729.142857142857110375189222395420"); EXPECT_STREQ(d2fixed(1729.142857142857, 29), "1729.14285714285711037518922239542"); EXPECT_STREQ(d2fixed(1729.142857142857, 28), "1729.1428571428571103751892223954"); EXPECT_STREQ(d2fixed(1729.142857142857, 27), "1729.142857142857110375189222395"); EXPECT_STREQ(d2fixed(1729.142857142857, 26), "1729.14285714285711037518922240"); EXPECT_STREQ(d2fixed(1729.142857142857, 25), "1729.1428571428571103751892224"); EXPECT_STREQ(d2fixed(1729.142857142857, 24), "1729.142857142857110375189222"); EXPECT_STREQ(d2fixed(1729.142857142857, 23), "1729.14285714285711037518922"); EXPECT_STREQ(d2fixed(1729.142857142857, 22), "1729.1428571428571103751892"); EXPECT_STREQ(d2fixed(1729.142857142857, 21), "1729.142857142857110375189"); EXPECT_STREQ(d2fixed(1729.142857142857, 20), "1729.14285714285711037519"); EXPECT_STREQ(d2fixed(1729.142857142857, 19), "1729.1428571428571103752"); EXPECT_STREQ(d2fixed(1729.142857142857, 18), "1729.142857142857110375"); EXPECT_STREQ(d2fixed(1729.142857142857, 17), "1729.14285714285711038"); EXPECT_STREQ(d2fixed(1729.142857142857, 16), "1729.1428571428571104"); EXPECT_STREQ(d2fixed(1729.142857142857, 15), "1729.142857142857110"); EXPECT_STREQ(d2fixed(1729.142857142857, 14), "1729.14285714285711"); EXPECT_STREQ(d2fixed(1729.142857142857, 13), "1729.1428571428571"); EXPECT_STREQ(d2fixed(1729.142857142857, 12), "1729.142857142857"); EXPECT_STREQ(d2fixed(1729.142857142857, 11), "1729.14285714286"); EXPECT_STREQ(d2fixed(1729.142857142857, 10), "1729.1428571429"); EXPECT_STREQ(d2fixed(1729.142857142857, 9), "1729.142857143"); EXPECT_STREQ(d2fixed(1729.142857142857, 8), "1729.14285714"); EXPECT_STREQ(d2fixed(1729.142857142857, 7), "1729.1428571"); EXPECT_STREQ(d2fixed(1729.142857142857, 6), "1729.142857"); EXPECT_STREQ(d2fixed(1729.142857142857, 5), "1729.14286"); EXPECT_STREQ(d2fixed(1729.142857142857, 4), "1729.1429"); EXPECT_STREQ(d2fixed(1729.142857142857, 3), "1729.143"); EXPECT_STREQ(d2fixed(1729.142857142857, 2), "1729.14"); EXPECT_STREQ(d2fixed(1729.142857142857, 1), "1729.1"); EXPECT_STREQ(d2fixed(1729.142857142857, 0), "1729"); } TEST(D2fixedTest, Carrying) { EXPECT_STREQ(d2fixed( 0.0009, 4), "0.0009"); EXPECT_STREQ(d2fixed( 0.0009, 3), "0.001" ); EXPECT_STREQ(d2fixed( 0.0029, 4), "0.0029"); EXPECT_STREQ(d2fixed( 0.0029, 3), "0.003" ); EXPECT_STREQ(d2fixed( 0.0099, 4), "0.0099"); EXPECT_STREQ(d2fixed( 0.0099, 3), "0.010" ); EXPECT_STREQ(d2fixed( 0.0299, 4), "0.0299"); EXPECT_STREQ(d2fixed( 0.0299, 3), "0.030" ); EXPECT_STREQ(d2fixed( 0.0999, 4), "0.0999"); EXPECT_STREQ(d2fixed( 0.0999, 3), "0.100" ); EXPECT_STREQ(d2fixed( 0.2999, 4), "0.2999"); EXPECT_STREQ(d2fixed( 0.2999, 3), "0.300" ); EXPECT_STREQ(d2fixed( 0.9999, 4), "0.9999"); EXPECT_STREQ(d2fixed( 0.9999, 3), "1.000" ); EXPECT_STREQ(d2fixed( 2.9999, 4), "2.9999"); EXPECT_STREQ(d2fixed( 2.9999, 3), "3.000" ); EXPECT_STREQ(d2fixed( 9.9999, 4), "9.9999"); EXPECT_STREQ(d2fixed( 9.9999, 3), "10.000" ); EXPECT_STREQ(d2fixed( 29.9999, 4), "29.9999"); EXPECT_STREQ(d2fixed( 29.9999, 3), "30.000" ); EXPECT_STREQ(d2fixed( 99.9999, 4), "99.9999"); EXPECT_STREQ(d2fixed( 99.9999, 3), "100.000" ); EXPECT_STREQ(d2fixed(299.9999, 4), "299.9999"); EXPECT_STREQ(d2fixed(299.9999, 3), "300.000" ); EXPECT_STREQ(d2fixed( 0.09, 2), "0.09"); EXPECT_STREQ(d2fixed( 0.09, 1), "0.1" ); EXPECT_STREQ(d2fixed( 0.29, 2), "0.29"); EXPECT_STREQ(d2fixed( 0.29, 1), "0.3" ); EXPECT_STREQ(d2fixed( 0.99, 2), "0.99"); EXPECT_STREQ(d2fixed( 0.99, 1), "1.0" ); EXPECT_STREQ(d2fixed( 2.99, 2), "2.99"); EXPECT_STREQ(d2fixed( 2.99, 1), "3.0" ); EXPECT_STREQ(d2fixed( 9.99, 2), "9.99"); EXPECT_STREQ(d2fixed( 9.99, 1), "10.0" ); EXPECT_STREQ(d2fixed( 29.99, 2), "29.99"); EXPECT_STREQ(d2fixed( 29.99, 1), "30.0" ); EXPECT_STREQ(d2fixed( 99.99, 2), "99.99"); EXPECT_STREQ(d2fixed( 99.99, 1), "100.0" ); EXPECT_STREQ(d2fixed(299.99, 2), "299.99"); EXPECT_STREQ(d2fixed(299.99, 1), "300.0" ); EXPECT_STREQ(d2fixed( 0.9, 1), "0.9"); EXPECT_STREQ(d2fixed( 0.9, 0), "1" ); EXPECT_STREQ(d2fixed( 2.9, 1), "2.9"); EXPECT_STREQ(d2fixed( 2.9, 0), "3" ); EXPECT_STREQ(d2fixed( 9.9, 1), "9.9"); EXPECT_STREQ(d2fixed( 9.9, 0), "10" ); EXPECT_STREQ(d2fixed( 29.9, 1), "29.9"); EXPECT_STREQ(d2fixed( 29.9, 0), "30" ); EXPECT_STREQ(d2fixed( 99.9, 1), "99.9"); EXPECT_STREQ(d2fixed( 99.9, 0), "100" ); EXPECT_STREQ(d2fixed(299.9, 1), "299.9"); EXPECT_STREQ(d2fixed(299.9, 0), "300" ); } TEST(D2fixedTest, RoundingResultZero) { EXPECT_STREQ(d2fixed(0.004, 3), "0.004"); EXPECT_STREQ(d2fixed(0.004, 2), "0.00" ); EXPECT_STREQ(d2fixed(0.4, 1), "0.4"); EXPECT_STREQ(d2fixed(0.4, 0), "0" ); EXPECT_STREQ(d2fixed(0.5, 1), "0.5"); EXPECT_STREQ(d2fixed(0.5, 0), "0" ); } TEST(D2fixedTest, AllBinaryExponents) { for (const auto& tc : all_binary_exponents) { EXPECT_STREQ(d2fixed(tc.value, tc.fixed_precision), tc.fixed_string); } } TEST(D2fixedTest, Regression) { EXPECT_STREQ(d2fixed(7.018232e-82, 6), "0.000000"); } TEST(D2expTest, Basic) { EXPECT_STREQ(d2exp(ieeeParts2Double(false, 1234, 99999), 62), "3.29100911471548643542566484557342614975886952410844652587974656e+63"); } TEST(D2expTest, Zero) { EXPECT_STREQ(d2exp(0.0, 4), "0.0000e+00"); EXPECT_STREQ(d2exp(0.0, 3), "0.000e+00" ); EXPECT_STREQ(d2exp(0.0, 2), "0.00e+00" ); EXPECT_STREQ(d2exp(0.0, 1), "0.0e+00" ); EXPECT_STREQ(d2exp(0.0, 0), "0e+00" ); } TEST(D2expTest, MinMax) { EXPECT_STREQ(d2exp(ieeeParts2Double(false, 0, 1), 750), "4.9406564584124654417656879286822137236505980261432476442558568250067550727020875186529983" "636163599237979656469544571773092665671035593979639877479601078187812630071319031140452784" "581716784898210368871863605699873072305000638740915356498438731247339727316961514003171538" "539807412623856559117102665855668676818703956031062493194527159149245532930545654440112748" "012970999954193198940908041656332452475714786901472678015935523861155013480352649347201937" "902681071074917033322268447533357208324319360923828934583680601060115061698097530783422773" "183292479049825247307763759272478746560847782037344696995336470179726777175851256605511991" "315048911014510378627381672509558373897335989936648099411642057026370902792427675445652290" "87538682506419718265533447265625e-324"); EXPECT_STREQ(d2exp(ieeeParts2Double(false, 2046, 0xFFFFFFFFFFFFFu), 308), "1.7976931348623157081452742373170435679807056752584499659891747680315726078002853876058955" "863276687817154045895351438246423432132688946418276846754670353751698604991057655128207624" "549009038932894407586850845513394230458323690322294816580855933212334827479782620414472316" "8738177180919299881250404026184124858368e+308"); } TEST(D2expTest, AllPowersOfTen) { for (const auto& tc : all_powers_of_ten) { EXPECT_STREQ(d2exp(tc.value, tc.exp_precision), tc.exp_string); } } TEST(D2expTest, RoundToEven) { EXPECT_STREQ(d2exp(0.125, 2), "1.25e-01"); EXPECT_STREQ(d2exp(0.125, 1), "1.2e-01" ); EXPECT_STREQ(d2exp(0.375, 2), "3.75e-01"); EXPECT_STREQ(d2exp(0.375, 1), "3.8e-01" ); } TEST(D2expTest, RoundToEvenInteger) { EXPECT_STREQ(d2exp(2.5, 1), "2.5e+00"); EXPECT_STREQ(d2exp(2.5, 0), "2e+00" ); EXPECT_STREQ(d2exp(3.5, 1), "3.5e+00"); EXPECT_STREQ(d2exp(3.5, 0), "4e+00" ); } TEST(D2expTest, NonRoundToEvenScenarios) { EXPECT_STREQ(d2exp(0.748046875, 2), "7.48e-01"); EXPECT_STREQ(d2exp(0.748046875, 1), "7.5e-01" ); EXPECT_STREQ(d2exp(0.748046875, 0), "7e-01" ); // 0.75 would round to "8e-01", but this is smaller EXPECT_STREQ(d2exp(0.2509765625, 2), "2.51e-01"); EXPECT_STREQ(d2exp(0.2509765625, 1), "2.5e-01" ); EXPECT_STREQ(d2exp(0.2509765625, 0), "3e-01" ); // 0.25 would round to "2e-01", but this is larger EXPECT_STREQ(d2exp(ieeeParts2Double(false, 1021, 1), 53), "2.50000000000000055511151231257827021181583404541015625e-01"); EXPECT_STREQ(d2exp(ieeeParts2Double(false, 1021, 1), 2), "2.50e-01"); EXPECT_STREQ(d2exp(ieeeParts2Double(false, 1021, 1), 1), "2.5e-01" ); EXPECT_STREQ(d2exp(ieeeParts2Double(false, 1021, 1), 0), "3e-01" ); // 0.25 would round to "2e-01", but this is larger (again) } TEST(D2expTest, VaryingPrecision) { EXPECT_STREQ(d2exp(1729.142857142857, 50), "1.72914285714285711037518922239542007446289062500000e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 49), "1.7291428571428571103751892223954200744628906250000e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 48), "1.729142857142857110375189222395420074462890625000e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 47), "1.72914285714285711037518922239542007446289062500e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 46), "1.7291428571428571103751892223954200744628906250e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 45), "1.729142857142857110375189222395420074462890625e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 44), "1.72914285714285711037518922239542007446289062e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 43), "1.7291428571428571103751892223954200744628906e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 42), "1.729142857142857110375189222395420074462891e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 41), "1.72914285714285711037518922239542007446289e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 40), "1.7291428571428571103751892223954200744629e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 39), "1.729142857142857110375189222395420074463e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 38), "1.72914285714285711037518922239542007446e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 37), "1.7291428571428571103751892223954200745e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 36), "1.729142857142857110375189222395420074e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 35), "1.72914285714285711037518922239542007e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 34), "1.7291428571428571103751892223954201e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 33), "1.729142857142857110375189222395420e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 32), "1.72914285714285711037518922239542e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 31), "1.7291428571428571103751892223954e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 30), "1.729142857142857110375189222395e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 29), "1.72914285714285711037518922240e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 28), "1.7291428571428571103751892224e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 27), "1.729142857142857110375189222e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 26), "1.72914285714285711037518922e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 25), "1.7291428571428571103751892e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 24), "1.729142857142857110375189e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 23), "1.72914285714285711037519e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 22), "1.7291428571428571103752e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 21), "1.729142857142857110375e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 20), "1.72914285714285711038e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 19), "1.7291428571428571104e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 18), "1.729142857142857110e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 17), "1.72914285714285711e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 16), "1.7291428571428571e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 15), "1.729142857142857e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 14), "1.72914285714286e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 13), "1.7291428571429e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 12), "1.729142857143e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 11), "1.72914285714e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 10), "1.7291428571e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 9), "1.729142857e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 8), "1.72914286e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 7), "1.7291429e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 6), "1.729143e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 5), "1.72914e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 4), "1.7291e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 3), "1.729e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 2), "1.73e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 1), "1.7e+03"); EXPECT_STREQ(d2exp(1729.142857142857, 0), "2e+03"); } TEST(D2expTest, Carrying) { EXPECT_STREQ(d2exp(2.0009, 4), "2.0009e+00"); EXPECT_STREQ(d2exp(2.0009, 3), "2.001e+00" ); EXPECT_STREQ(d2exp(2.0029, 4), "2.0029e+00"); EXPECT_STREQ(d2exp(2.0029, 3), "2.003e+00" ); EXPECT_STREQ(d2exp(2.0099, 4), "2.0099e+00"); EXPECT_STREQ(d2exp(2.0099, 3), "2.010e+00" ); EXPECT_STREQ(d2exp(2.0299, 4), "2.0299e+00"); EXPECT_STREQ(d2exp(2.0299, 3), "2.030e+00" ); EXPECT_STREQ(d2exp(2.0999, 4), "2.0999e+00"); EXPECT_STREQ(d2exp(2.0999, 3), "2.100e+00" ); EXPECT_STREQ(d2exp(2.2999, 4), "2.2999e+00"); EXPECT_STREQ(d2exp(2.2999, 3), "2.300e+00" ); EXPECT_STREQ(d2exp(2.9999, 4), "2.9999e+00"); EXPECT_STREQ(d2exp(2.9999, 3), "3.000e+00" ); EXPECT_STREQ(d2exp(9.9999, 4), "9.9999e+00"); EXPECT_STREQ(d2exp(9.9999, 3), "1.000e+01" ); EXPECT_STREQ(d2exp(2.09, 2), "2.09e+00"); EXPECT_STREQ(d2exp(2.09, 1), "2.1e+00" ); EXPECT_STREQ(d2exp(2.29, 2), "2.29e+00"); EXPECT_STREQ(d2exp(2.29, 1), "2.3e+00" ); EXPECT_STREQ(d2exp(2.99, 2), "2.99e+00"); EXPECT_STREQ(d2exp(2.99, 1), "3.0e+00" ); EXPECT_STREQ(d2exp(9.99, 2), "9.99e+00"); EXPECT_STREQ(d2exp(9.99, 1), "1.0e+01" ); EXPECT_STREQ(d2exp(2.9, 1), "2.9e+00"); EXPECT_STREQ(d2exp(2.9, 0), "3e+00" ); EXPECT_STREQ(d2exp(9.9, 1), "9.9e+00"); EXPECT_STREQ(d2exp(9.9, 0), "1e+01" ); } TEST(D2expTest, Exponents) { EXPECT_STREQ(d2exp(9.99e-100, 2), "9.99e-100"); EXPECT_STREQ(d2exp(9.99e-99 , 2), "9.99e-99" ); EXPECT_STREQ(d2exp(9.99e-10 , 2), "9.99e-10" ); EXPECT_STREQ(d2exp(9.99e-09 , 2), "9.99e-09" ); EXPECT_STREQ(d2exp(9.99e-01 , 2), "9.99e-01" ); EXPECT_STREQ(d2exp(9.99e+00 , 2), "9.99e+00" ); EXPECT_STREQ(d2exp(9.99e+01 , 2), "9.99e+01" ); EXPECT_STREQ(d2exp(9.99e+09 , 2), "9.99e+09" ); EXPECT_STREQ(d2exp(9.99e+10 , 2), "9.99e+10" ); EXPECT_STREQ(d2exp(9.99e+99 , 2), "9.99e+99" ); EXPECT_STREQ(d2exp(9.99e+100, 2), "9.99e+100"); EXPECT_STREQ(d2exp(9.99e-100, 1), "1.0e-99" ); EXPECT_STREQ(d2exp(9.99e-99 , 1), "1.0e-98" ); EXPECT_STREQ(d2exp(9.99e-10 , 1), "1.0e-09" ); EXPECT_STREQ(d2exp(9.99e-09 , 1), "1.0e-08" ); EXPECT_STREQ(d2exp(9.99e-01 , 1), "1.0e+00" ); EXPECT_STREQ(d2exp(9.99e+00 , 1), "1.0e+01" ); EXPECT_STREQ(d2exp(9.99e+01 , 1), "1.0e+02" ); EXPECT_STREQ(d2exp(9.99e+09 , 1), "1.0e+10" ); EXPECT_STREQ(d2exp(9.99e+10 , 1), "1.0e+11" ); EXPECT_STREQ(d2exp(9.99e+99 , 1), "1.0e+100"); EXPECT_STREQ(d2exp(9.99e+100, 1), "1.0e+101"); } TEST(D2expTest, AllBinaryExponents) { for (const auto& tc : all_binary_exponents) { EXPECT_STREQ(d2exp(tc.value, tc.exp_precision), tc.exp_string); } } TEST(D2expTest, PrintDecimalPoint) { // These values exercise each codepath. EXPECT_STREQ(d2exp(1e+54, 0), "1e+54" ); EXPECT_STREQ(d2exp(1e+54, 1), "1.0e+54"); EXPECT_STREQ(d2exp(1e-63, 0), "1e-63" ); EXPECT_STREQ(d2exp(1e-63, 1), "1.0e-63"); EXPECT_STREQ(d2exp(1e+83, 0), "1e+83" ); EXPECT_STREQ(d2exp(1e+83, 1), "1.0e+83"); } } // ryu } // detail } // json } // boost