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json/test/ryu/d2fixed_test.cpp
Vinnie Falco e73d4886ea doc work
2019-10-23 10:00:46 -07:00

36048 lines
2.0 MiB

// 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 <boost/json/detail/ryu/ryu.hpp>
#include <boost/json/detail/assert.hpp>
#include <cmath>
#include <cstdint>
#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"
"121695564074689393990672940359453554351702513211023982630097822029020757254763345019116747"
"7946719798732961988232841140527418055848553508913045817507736501283943653106689453125",
749,
"9.8813129168249308835313758573644274473011960522864952885117136500135101454041750373059967"
"272327198475959312939089143546185331342071187959279754959202156375625260142638062280905569"
"163433569796420737743727211399746144610001277481830712996877462494679454633923028006343077"
"079614825247713118234205331711337353637407912062124986389054318298491065861091308880225496"
"025941999908386397881816083312664904951429573802945356031871047722310026960705298694403875"
"805362142149834066644536895066714416648638721847657869167361202120230123396195061566845546"
"366584958099650494615527518544957493121695564074689393990672940359453554351702513211023982"
"630097822029020757254763345019116747794671979873296198823284114052741805584855350891304581"
"7507736501283943653106689453125e-324"
},
{
1e-322,
1072,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000988131291682493088353137585736442744"
"730119605228649528851171365001351014540417503730599672723271984759593129390891435461853313"
"420711879592797549592021563756252601426380622809055691634335697964207377437272113997461446"
"100012774818307129968774624946794546339230280063430770796148252477131182342053317113373536"
"374079120621249863890543182984910658610913088802254960259419999083863978818160833126649049"
"514295738029453560318710477223100269607052986944038758053621421498340666445368950667144166"
"486387218476578691673612021202301233961950615668455463665849580996504946155275185449574931"
"216955640746893939906729403594535543517025132110239826300978220290207572547633450191167477"
"946719798732961988232841140527418055848553508913045817507736501283943653106689453125",
749,
"9.8813129168249308835313758573644274473011960522864952885117136500135101454041750373059967"
"272327198475959312939089143546185331342071187959279754959202156375625260142638062280905569"
"163433569796420737743727211399746144610001277481830712996877462494679454633923028006343077"
"079614825247713118234205331711337353637407912062124986389054318298491065861091308880225496"
"025941999908386397881816083312664904951429573802945356031871047722310026960705298694403875"
"805362142149834066644536895066714416648638721847657869167361202120230123396195061566845546"
"366584958099650494615527518544957493121695564074689393990672940359453554351702513211023982"
"630097822029020757254763345019116747794671979873296198823284114052741805584855350891304581"
"7507736501283943653106689453125e-323"
},
{
1e-321,
1073,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000009980126045993180192366689615938071721"
"774208012809360241396830786513645246858216787679056694505047046071890606848003498164718465"
"549189983887255250879417793938151274406444290371462485506790549438494512116448351374360605"
"610129025664902012684623711962624918026225828640650785041097350019024941654738502845072717"
"378199118274623625294486148147597651970222196902775098620141990747026186063424414579155400"
"094386954097480959218975819953312723031235168134791456341576357133240731098226401738156081"
"512510906613444785903481414143242463015701218251400183025080768064699956168279373040706805"
"291251971543628793057966976304808989521953834313422245639880024931096482731097846930791527"
"2618699672029160811516955193269223640703904400217627568281386629678308963775634765625",
751,
"9.9801260459931801923666896159380717217742080128093602413968307865136452468582167876790566"
"945050470460718906068480034981647184655491899838872552508794177939381512744064442903714624"
"855067905494384945121164483513743606056101290256649020126846237119626249180262258286406507"
"850410973500190249416547385028450727173781991182746236252944861481475976519702221969027750"
"986201419907470261860634244145791554000943869540974809592189758199533127230312351681347914"
"563415763571332407310982264017381560815125109066134447859034814141432424630157012182514001"
"830250807680646999561682793730407068052912519715436287930579669763048089895219538343134222"
"456398800249310964827310978469307915272618699672029160811516955193269223640703904400217627"
"568281386629678308963775634765625e-322"
},
{
1e-320,
1071,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000099998886718268300541337523676528005766"
"688104049139332319738542138136722671490251377536686879595124857670824694358213268739555318"
"176042214791112018712582252132763264349719028276435993394772633977786596651937936543098345"
"321292811612681552839992044615608089530104342419194004570203150685675653015795691873401881"
"056807006870486225722970118072958651424404586788201978253303907287034656397876312416883810"
"846728688580700304253500294977747284233762278736722315026487855632075444271337807514989648"
"422386509829763597369536545672884876949402305647692922983977596846300550913848767496983039"
"155910843585666718561015643766997003922943369556270421658995893369006341820505159346148768"
"20804363177575320916352342137470725187361510200023673178293392993509769439697265625",
750,
"9.9998886718268300541337523676528005766688104049139332319738542138136722671490251377536686"
"879595124857670824694358213268739555318176042214791112018712582252132763264349719028276435"
"993394772633977786596651937936543098345321292811612681552839992044615608089530104342419194"
"004570203150685675653015795691873401881056807006870486225722970118072958651424404586788201"
"978253303907287034656397876312416883810846728688580700304253500294977747284233762278736722"
"315026487855632075444271337807514989648422386509829763597369536545672884876949402305647692"
"922983977596846300550913848767496983039155910843585666718561015643766997003922943369556270"
"421658995893369006341820505159346148768208043631775753209163523421374707251873615102000236"
"73178293392993509769439697265625e-321"
},
{
1e-319,
1070,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000999988867182683005413375236765280057666"
"881040491393323197385421381367226714902513775366868795951248576708246943582132687395553181"
"760422147911120187125822521327632643497190282764359933947726339777865966519379365430983453"
"212928116126815528399920446156080895301043424191940045702031506856756530157956918734018810"
"568070068704862257229701180729586514244045867882019782533039072870346563978763124168838108"
"467286885807003042535002949777472842337622787367223150264878556320754442713378075149896484"
"223865098297635973695365456728848769494023056476929229839775968463005509138487674969830391"
"559108435856667185610156437669970039229433695562704216589958933690063418205051593461487682"
"0804363177575320916352342137470725187361510200023673178293392993509769439697265625",
750,
"9.9998886718268300541337523676528005766688104049139332319738542138136722671490251377536686"
"879595124857670824694358213268739555318176042214791112018712582252132763264349719028276435"
"993394772633977786596651937936543098345321292811612681552839992044615608089530104342419194"
"004570203150685675653015795691873401881056807006870486225722970118072958651424404586788201"
"978253303907287034656397876312416883810846728688580700304253500294977747284233762278736722"
"315026487855632075444271337807514989648422386509829763597369536545672884876949402305647692"
"922983977596846300550913848767496983039155910843585666718561015643766997003922943369556270"
"421658995893369006341820505159346148768208043631775753209163523421374707251873615102000236"
"73178293392993509769439697265625e-320"
},
{
1e-318,
1073,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000009999987484955998303442587681411374220943"
"283416874456096926739330950172402250479179504041747926784812965558428748760416017501717148"
"946292667070481626217427369651951695114540889924504908640696967575080402937520865709580676"
"739282438749985996996081924055488407644357269925743534099929893815278419813774519051525459"
"318108599110747558686066125594356208301549987700423321356332728611852037669447325001045989"
"624298431872975781381900545497038450336933172366635378454147705357378493778317646565679258"
"887289704824017606121015769408717818336425626336137844764344642729705586000404268243261408"
"712779922641361250092237317059153946646039468838066148529687158929654939305279279633993568"
"5990351574486171151756262515234669929463655509149777600441666436381638050079345703125",
754,
"9.9999874849559983034425876814113742209432834168744560969267393309501724022504791795040417"
"479267848129655584287487604160175017171489462926670704816262174273696519516951145408899245"
"049086406969675750804029375208657095806767392824387499859969960819240554884076443572699257"
"435340999298938152784198137745190515254593181085991107475586860661255943562083015499877004"
"233213563327286118520376694473250010459896242984318729757813819005454970384503369331723666"
"353784541477053573784937783176465656792588872897048240176061210157694087178183364256263361"
"378447643446427297055860004042682432614087127799226413612500922373170591539466460394688380"
"661485296871589296549393052792796339935685990351574486171151756262515234669929463655509149"
"777600441666436381638050079345703125e-319"
},
{
1e-317,
1074,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
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"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000100000023069253735408389129784751602675844"
"543686685345266696720985206474225156972857665977069218756620453298226457012793890336449486"
"476033452643735894613076931082954841359365992666407440152120030445435135990799474195425984"
"307826303722606039456135434296903258394457241266949956618721176024353875489053188082260623"
"637197859200663066444242733391298681807136840324571457602240285981099973517197374979457253"
"670128679434175847866812026553849543810389671707959598249520266798536037749981808256864213"
"845855131011662864961199497267523368458548855711646767193323864446531601927333960250050326"
"810342572525646591908382581130719797987948458197197459242018322340080528934937813868610807"
"68235954429611544999118868631378263784093853548673447306782691157422959804534912109375",
757,
"1.0000002306925373540838912978475160267584454368668534526669672098520647422515697285766597"
"706921875662045329822645701279389033644948647603345264373589461307693108295484135936599266"
"640744015212003044543513599079947419542598430782630372260603945613543429690325839445724126"
"694995661872117602435387548905318808226062363719785920066306644424273339129868180713684032"
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"795959824952026679853603774998180825686421384585513101166286496119949726752336845854885571"
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"719745924201832234008052893493781386861080768235954429611544999118868631378263784093853548"
"673447306782691157422959804534912109375e-317"
},
{
1e-316,
1074,
"0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
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"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000999999983659714433460619209563119592647759"
"254336952145504584997059223491913816093472283838042269385386536792366287780216044499031536"
"405156556539159558732763919890485263237064770961810478612616379963299515548676713454894481"
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"278458811851318198469791538166759153418640131045150835957547860040033740467433541512910274"
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"33691549327791400285367657800597186444724697763908327630133499042131006717681884765625",
757,
"9.9999998365971443346061920956311959264775925433695214550458499705922349191381609347228383"
"804226938538653679236628778021604449903153640515655653915955873276391989048526323706477096"
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"364187348817469712425595930501855154426285227845881185131819846979153816675915341864013104"
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"908327630133499042131006717681884765625e-317"
},
{
1e-315,
1074,
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"674411496809458432057444014624821271529836759260682332394533416326065098006842778911837195"
"06116290258908432677169195113883135284975280272778963563951037940569221973419189453125",
758,
"9.9999999848168380869801553486018337869440042528874622393432792982679396693408131157854639"
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"2778963563951037940569221973419189453125e-316"
},
{
1e-314,
1074,
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"659830255244071830103227569246343116060005123815989752458291897970893727639170333585259541"
"391005430598567971364546804395605737436214227468848120631114329012862381366243127663351562"
"863111734156882122398550068601017928572019701038804280182829002491749611793319525949998363"
"969873951188107233370136910690152515064984462816293248968206606549783188482443258786397558"
"397989460234752510620656572449634645537308835788332116726276730263211434608284669802752166"
"426658314206618411560449556787393046825921362423359297890480896304182115950572806647047072"
"30363699570078756595184568246742623687481105361485322902126426924951374530792236328125",
759,
"9.9999999996388074622175516738988975729906454238392563177730222310355101443610783338917264"
"959716398532052454089957441516575318415211607659830255244071830103227569246343116060005123"
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"468848120631114329012862381366243127663351562863111734156882122398550068601017928572019701"
"038804280182829002491749611793319525949998363969873951188107233370136910690152515064984462"
"816293248968206606549783188482443258786397558397989460234752510620656572449634645537308835"
"788332116726276730263211434608284669802752166426658314206618411560449556787393046825921362"
"423359297890480896304182115950572806647047072303636995700787565951845682467426236874811053"
"61485322902126426924951374530792236328125e-315"
},
{
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"654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849"
"307718019341877248",
287,
"1.0000000000000000752521735249401871936142708048258363851925443970635243430154657100253910"
"763966211992393922091755152714140104196817220558967702128769386220391563888697428719907160"
"465407126676909922607121189796634073688250291099034543435355368070225333842863667546468484"
"9307718019341877248e+287"
},
{
1e288,
0,
"100000000000000000763047353957503566051477833551171075078008666443996951063649495461113154"
"913583918651398345555539522089568786054480958499982972526059487327108739962648660614644255"
"098884001691739462644953639520862026701277807778772339591406460711996206948332457397785783"
"2138825282954985472",
288,
"1.0000000000000000076304735395750356605147783355117107507800866644399695106364949546111315"
"491358391865139834555553952208956878605448095849998297252605948732710873996264866061464425"
"509888400169173946264495363952086202670127780777877233959140646071199620694833245739778578"
"32138825282954985472e+288"
},
{
1e289,
0,
"100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917"
"094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134"
"743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036"
"08895092113260150784",
289,
"1.0000000000000000617278335278671568869943723109630112583100528505388133765396715589425391"
"709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613"
"474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503"
"608895092113260150784e+289"
},
{
1e290,
0,
"100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917"
"094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134"
"743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036"
"088950921132601507840",
289,
"1.0000000000000000617278335278671568869943723109630112583100528505388133765396715589425391"
"709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613"
"474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503"
"608895092113260150784e+290"
},
{
1e291,
0,
"999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537"
"071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258"
"262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705"
"688196068853638234112",
290,
"9.9999999999999995786090235034628413215355187809651428385251777322903315400557247862623653"
"707190362514808261289098686371420245702004200641968152637496587417778862354344999448505725"
"826266174594802676763227561304989696007896131815054541846466106799166958178828552900548070"
"5688196068853638234112e+290"
},
{
1e292,
0,
"100000000000000001325659897835741626806865610895864600356320314779424927269042532146159794"
"180393624997273746385658920909881229746500070257845517383027467316859073953152552746468610"
"581875582146175794962018326623525855388355736365975221075617109415185600287493768340951785"
"51288964115055725510656",
292,
"1.0000000000000000132565989783574162680686561089586460035632031477942492726904253214615979"
"418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861"
"058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178"
"551288964115055725510656e+292"
},
{
1e293,
0,
"999999999999999924623484373539604850604489339579235252026106548489903482794660772925019694"
"232684050253289702311625456483436552753066788724417337901780594783307353950604674697279949"
"729005300639788058439531021138680003796203690845021343089755052295557729136294236363058416"
"02377586326247764393984",
292,
"9.9999999999999992462348437353960485060448933957923525202610654848990348279466077292501969"
"423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994"
"972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841"
"602377586326247764393984e+292"
},
{
1e294,
0,
"100000000000000006643646774124810311854715617058629245448546110737685674662788405058354489"
"034668756980440612078356746066803774429216105089087787538737112019976077088007803912512979"
"947260613395493988432857461329320568393596956734859073135602071926563496711812375163739351"
"8591968740451429495341056",
294,
"1.0000000000000000664364677412481031185471561705862924544854611073768567466278840505835448"
"903466875698044061207835674606680377442921610508908778753873711201997607708800780391251297"
"994726061339549398843285746132932056839359695673485907313560207192656349671181237516373935"
"18591968740451429495341056e+294"
},
{
1e295,
0,
"999999999999999981348677720623004157781556071982058133009848372044684788327950083988429772"
"678285458073736269700402258157277029368704493591001552896016804949888720722394020468419889"
"626445633965848788795148458000490275852110041446449098396261319083588624329026042472792457"
"0510530141380583845003264",
294,
"9.9999999999999998134867772062300415778155607198205813300984837204468478832795008398842977"
"267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988"
"962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245"
"70510530141380583845003264e+294"
},
{
1e296,
0,
"999999999999999981348677720623004157781556071982058133009848372044684788327950083988429772"
"678285458073736269700402258157277029368704493591001552896016804949888720722394020468419889"
"626445633965848788795148458000490275852110041446449098396261319083588624329026042472792457"
"05105301413805838450032640",
294,
"9.9999999999999998134867772062300415778155607198205813300984837204468478832795008398842977"
"267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988"
"962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245"
"70510530141380583845003264e+295"
},
{
1e297,
0,
"100000000000000001765280146275637971437487878071986477683944313911974482386925524306901222"
"288347035907882207282921941122853493440271262470561545049232797945650079545633920176194945"
"116080744729452765622274361759204884996789010583136286179242532982792839725237439838302224"
"3308510390698430058459037696",
297,
"1.0000000000000000176528014627563797143748787807198647768394431391197448238692552430690122"
"228834703590788220728292194112285349344027126247056154504923279794565007954563392017619494"
"511608074472945276562227436175920488499678901058313628617924253298279283972523743983830222"
"43308510390698430058459037696e+297"
},
{
1e298,
0,
"999999999999999959566203475342978823825562446739374146712091511799648767003166988540080302"
"555174517470684787823111966314522286348299614922233214338230100245921475882026911692302152"
"705828545968641468338591362245555131382642002815500840358562912636984760575017028926654585"
"2965785882018353801250996224",
297,
"9.9999999999999995956620347534297882382556244673937414671209151179964876700316698854008030"
"255517451747068478782311196631452228634829961492223321433823010024592147588202691169230215"
"270582854596864146833859136224555513138264200281550084035856291263698476057501702892665458"
"52965785882018353801250996224e+297"
},
{
1e299,
0,
"100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137"
"508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783"
"023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283"
"811566947219638686545940054016",
299,
"1.0000000000000000525047602552044202487044685811081591549158541155118024579889081957863713"
"750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378"
"302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428"
"3811566947219638686545940054016e+299"
},
{
1e300,
0,
"100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137"
"508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783"
"023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283"
"8115669472196386865459400540160",
299,
"1.0000000000000000525047602552044202487044685811081591549158541155118024579889081957863713"
"750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378"
"302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428"
"3811566947219638686545940054016e+300"
},
{
1e301,
0,
"100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137"
"508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783"
"023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283"
"81156694721963868654594005401600",
299,
"1.0000000000000000525047602552044202487044685811081591549158541155118024579889081957863713"
"750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378"
"302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428"
"3811566947219638686545940054016e+301"
},
{
1e302,
0,
"100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188"
"964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536"
"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"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000340249628885488918707803802237219634159360572672157"
"684890228809310363407096641170467659879771805264411927667980233377849338161398396361988635"
"343561859686478002041658296279167269633549887180398681467085048366045915667637095150966312"
"151585104419778664778568818969883177514928542970375740015926895932459510900145974010899870"
"643490118898178199420014167358923990328782986564433565017977882465941632972037475759286148"
"645435617069627150190560661004463760153276800654567748203691908193307868018274961903878508"
"519765463087823925880361092267988073184612955956100615232697812832213574317600267780811339"
"722336120022236052218268188972350774933242797322404573240208707312500506083305050530743859"
"909422095574730572935613200283098897446182155845928463122618268243968486785888671875",
764,
"3.4024962888548891870780380223721963415936057267215768489022880931036340709664117046765987"
"977180526441192766798023337784933816139839636198863534356185968647800204165829627916726963"
"354988718039868146708504836604591566763709515096631215158510441977866477856881896988317751"
"492854297037574001592689593245951090014597401089987064349011889817819942001416735892399032"
"878298656443356501797788246594163297203747575928614864543561706962715019056066100446376015"
"327680065456774820369190819330786801827496190387850851976546308782392588036109226798807318"
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"1.3747215164191864557360328902417183080909502773980053305016024875594667249734748345961089"
"521445251491076760161371030946104850545438257754381973659153645099708064799494869929937271"
"094708615446698975028528698722301001035870971748539621623471923106184604860296373642418814"
"5247774330747094015196695990582116352e+305"
},
{
3.3096929273918684e+305,
0,
"330969292739186836148696799160490423451195165353389471950122643252129226834745324594066390"
"628542538662581357719151111687362183898117765879272408632912053460554027589018196032181403"
"643752217046446854545876459118270311328170300273241053563917737426045554632200608705001740"
"820709150305846610578306477689143296",
305,
"3.3096929273918683614869679916049042345119516535338947195012264325212922683474532459406639"
"062854253866258135771915111168736218389811776587927240863291205346055402758901819603218140"
"364375221704644685454587645911827031132817030027324105356391773742604555463220060870500174"
"0820709150305846610578306477689143296e+305"
},
{
6.171133478197849e+305,
0,
"617113347819784928239051762743130646009480135989502597056240448109765781376353360993643967"
"915187146628423709280516241948225398658063408258944026475600604367395551060529895388440736"
"389998513454247897588963927412199886596463797584431228714343905526280539044788020033342657"
"437500226579170692177128139530436608",
305,
"6.1711334781978492823905176274313064600948013598950259705624044810976578137635336099364396"
"791518714662842370928051624194822539865806340825894402647560060436739555106052989538844073"
"638999851345424789758896392741219988659646379758443122871434390552628053904478802003334265"
"7437500226579170692177128139530436608e+305"
},
{
1.2292521010494213e+306,
0,
"122925210104942132022083921209103473719749328619963626522153546836263542867784509770564579"
"888234066078518626637132565769582888977482809648230361989943269158655634268614343814815368"
"836427061857244021348551127969781105558044512677333039357873497072583454710051130855555978"
"5816417647601996123490828625750523904",
306,
"1.2292521010494213202208392120910347371974932861996362652215354683626354286778450977056457"
"988823406607851862663713256576958288897748280964823036198994326915865563426861434381481536"
"883642706185724402134855112796978110555804451267733303935787349707258345471005113085555597"
"85816417647601996123490828625750523904e+306"
},
{
2.2862202954633178e+306,
0,
"228622029546331782617235365096496856417072798503002908698039824202588624616473135764549222"
"810651164562191829590977426811173756270658087196535714508685519454569812805651039956703238"
"427854607968636622055258647292634684121390540222150085347564627967335399432454801846311963"
"4259994839858773138984052848465018880",
305,
"2.2862202954633178261723536509649685641707279850300290869803982420258862461647313576454922"
"281065116456219182959097742681117375627065808719653571450868551945456981280565103995670323"
"842785460796863662205525864729263468412139054022215008534756462796733539943245480184631196"
"3425999483985877313898405284846501888e+306"
},
{
3.5065941308845355e+306,
0,
"350659413088453549847534645424313910076742276043356121485220657480178251045388443070575508"
"955804084161794247118416307944385786855208364451666760483209546178608196510513690039018180"
"918045791524606584522427293544334624373988141948222833451632637250311538664393784587840190"
"3583322133727281304761523559911653376",
306,
"3.5065941308845354984753464542431391007674227604335612148522065748017825104538844307057550"
"895580408416179424711841630794438578685520836445166676048320954617860819651051369003901818"
"091804579152460658452242729354433462437398814194822283345163263725031153866439378458784019"
"03583322133727281304761523559911653376e+306"
},
{
1.0940422247589228e+307,
0,
"109404222475892277433162852575234467711491216086265592531046389310061522891256647624188374"
"878905172858685441970842686935351143015218862511720392429343778632449186329279729720913087"
"020406559756094832031600186601946420906692157824719066327756721485571492633195903564752720"
"60941885997193903260433671483161575424",
307,
"1.0940422247589227743316285257523446771149121608626559253104638931006152289125664762418837"
"487890517285868544197084268693535114301521886251172039242934377863244918632927972972091308"
"702040655975609483203160018660194642090669215782471906632775672148557149263319590356475272"
"060941885997193903260433671483161575424e+307"
},
{
2.0068458193014486e+307,
0,
"200684581930144856592336909650465415771502229224488768020796987495949276594849253640790518"
"636930799225499623702340752679075101040300153750541846589137823389048924711303393882024589"
"282733583930812172225616249563429786816896793667413396353103163495002492074467524335630458"
"42746492341156586638953143467738398720",
306,
"2.0068458193014485659233690965046541577150222922448876802079698749594927659484925364079051"
"863693079922549962370234075267907510104030015375054184658913782338904892471130339388202458"
"928273358393081217222561624956342978681689679366741339635310316349500249207446752433563045"
"84274649234115658663895314346773839872e+307"
},
{
2.7914963723745636e+307,
0,
"279149637237456364333270986680929098111473022437805060699482281822832659478100016278032391"
"110451727789063930987072447572980908861942482392189431390905934840154072184967491283583766"
"051866632563025027572585713651756302153885103345257432399258113526932801118726378848117421"
"38711874263709333351600610928924557312",
307,
"2.7914963723745636433327098668092909811147302243780506069948228182283265947810001627803239"
"111045172778906393098707244757298090886194248239218943139090593484015407218496749128358376"
"605186663256302502757258571365175630215388510334525743239925811352693280111872637884811742"
"138711874263709333351600610928924557312e+307"
},
{
6.123699292104195e+307,
0,
"612369929210419498177140418919285288397869383369423220841370951860429618198139360480289267"
"235486604689712784969654586939917432251493887838173965737887781285740992515883352944011799"
"461643423393002121460091055587179854525762601858879792419836735035589464140351030046498020"
"78842226017422195444929429676453003264",
307,
"6.1236992921041949817714041891928528839786938336942322084137095186042961819813936048028926"
"723548660468971278496965458693991743225149388783817396573788778128574099251588335294401179"
"946164342339300212146009105558717985452576260185887979241983673503558946414035103004649802"
"078842226017422195444929429676453003264e+307"
},
{
1.7026387749989901e+308,
0,
"170263877499899010493528033455519579675043655908491713154859332578486648697608102167983510"
"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_JSON_ASSERT(ieeeExponent <= 2047);
BOOST_JSON_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