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Diffstat (limited to 'ext/json/vendor/ryu.h')
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diff --git a/ext/json/vendor/ryu.h b/ext/json/vendor/ryu.h new file mode 100644 index 0000000000..f06ec814b4 --- /dev/null +++ b/ext/json/vendor/ryu.h @@ -0,0 +1,819 @@ +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// +// 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. +// +// --- +// +// Apache License +// Version 2.0, January 2004 +// http://www.apache.org/licenses/ +// +// TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION +// +// 1. 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IN NO EVENT +// SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +// FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, +// ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +// DEALINGS IN THE SOFTWARE. +// +// --- +// Minimal Ryu implementation adapted for Ruby JSON gem by Josef Šimánek +// Optimized for pre-extracted mantissa/exponent from JSON parsing +// This is a stripped-down version containing only what's needed for +// converting decimal mantissa+exponent to IEEE 754 double precision. + +#ifndef RYU_H +#define RYU_H + +#include <stdint.h> +#include <stdbool.h> +#include <string.h> + +// Detect __builtin_clzll availability (for floor_log2) +// Note: MSVC doesn't have __builtin_clzll, so we provide a fallback +#ifdef __clang__ + #if __has_builtin(__builtin_clzll) + #define RYU_HAVE_BUILTIN_CLZLL 1 + #else + #define RYU_HAVE_BUILTIN_CLZLL 0 + #endif +#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3)) + #define RYU_HAVE_BUILTIN_CLZLL 1 +#else + #define RYU_HAVE_BUILTIN_CLZLL 0 +#endif + +// Count leading zeros (for floor_log2) +static inline uint32_t ryu_leading_zeros64(uint64_t input) +{ +#if RYU_HAVE_BUILTIN_CLZLL + return __builtin_clzll(input); +#else + // Fallback: binary search for the highest set bit + // This works on MSVC and other compilers without __builtin_clzll + if (input == 0) return 64; + uint32_t n = 0; + if (input <= 0x00000000FFFFFFFFULL) { n += 32; input <<= 32; } + if (input <= 0x0000FFFFFFFFFFFFULL) { n += 16; input <<= 16; } + if (input <= 0x00FFFFFFFFFFFFFFULL) { n += 8; input <<= 8; } + if (input <= 0x0FFFFFFFFFFFFFFFULL) { n += 4; input <<= 4; } + if (input <= 0x3FFFFFFFFFFFFFFFULL) { n += 2; input <<= 2; } + if (input <= 0x7FFFFFFFFFFFFFFFULL) { n += 1; } + return n; +#endif +} + +// These tables are generated by PrintDoubleLookupTable. +#define DOUBLE_POW5_INV_BITCOUNT 125 +#define DOUBLE_POW5_BITCOUNT 125 + +#define DOUBLE_POW5_INV_TABLE_SIZE 342 +#define DOUBLE_POW5_TABLE_SIZE 326 + +static const uint64_t DOUBLE_POW5_INV_SPLIT[DOUBLE_POW5_INV_TABLE_SIZE][2] = { + { 1u, 2305843009213693952u }, { 11068046444225730970u, 1844674407370955161u }, + { 5165088340638674453u, 1475739525896764129u }, { 7821419487252849886u, 1180591620717411303u }, + { 8824922364862649494u, 1888946593147858085u }, { 7059937891890119595u, 1511157274518286468u }, + { 13026647942995916322u, 1208925819614629174u }, { 9774590264567735146u, 1934281311383406679u }, + { 11509021026396098440u, 1547425049106725343u }, { 16585914450600699399u, 1237940039285380274u }, + { 15469416676735388068u, 1980704062856608439u }, { 16064882156130220778u, 1584563250285286751u }, + { 9162556910162266299u, 1267650600228229401u }, { 7281393426775805432u, 2028240960365167042u }, + { 16893161185646375315u, 1622592768292133633u }, { 2446482504291369283u, 1298074214633706907u }, + { 7603720821608101175u, 2076918743413931051u }, { 2393627842544570617u, 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1723641332219371030u }, + { 12584037722297574282u, 1378913065775496824u }, { 9066413911450387881u, 2206260905240794919u }, + { 10942479943902220628u, 1765008724192635935u }, { 8753983955121776503u, 1412006979354108748u }, + { 10317025513452932081u, 2259211166966573997u }, { 874922781278525018u, 1807368933573259198u }, + { 8078635854506640661u, 1445895146858607358u }, { 13841606313089133175u, 1156716117486885886u }, + { 14767872471458792434u, 1850745787979017418u }, { 746251532941302978u, 1480596630383213935u }, + { 597001226353042382u, 1184477304306571148u }, { 15712597221132509104u, 1895163686890513836u }, + { 8880728962164096960u, 1516130949512411069u }, { 10793931984473187891u, 1212904759609928855u }, + { 17270291175157100626u, 1940647615375886168u }, { 2748186495899949531u, 1552518092300708935u }, + { 2198549196719959625u, 1242014473840567148u }, { 18275073973719576693u, 1987223158144907436u }, + { 10930710364233751031u, 1589778526515925949u }, { 12433917106128911148u, 1271822821212740759u }, + { 8826220925580526867u, 2034916513940385215u }, { 7060976740464421494u, 1627933211152308172u }, + { 16716827836597268165u, 1302346568921846537u }, { 11989529279587987770u, 2083754510274954460u }, + { 9591623423670390216u, 1667003608219963568u }, { 15051996368420132820u, 1333602886575970854u }, + { 13015147745246481542u, 2133764618521553367u }, { 3033420566713364587u, 1707011694817242694u }, + { 6116085268112601993u, 1365609355853794155u }, { 9785736428980163188u, 2184974969366070648u }, + { 15207286772667951197u, 1747979975492856518u }, { 1097782973908629988u, 1398383980394285215u }, + { 1756452758253807981u, 2237414368630856344u }, { 5094511021344956708u, 1789931494904685075u }, + { 4075608817075965366u, 1431945195923748060u }, { 6520974107321544586u, 2291112313477996896u }, + { 1527430471115325346u, 1832889850782397517u }, { 12289990821117991246u, 1466311880625918013u }, + { 17210690286378213644u, 1173049504500734410u }, { 9090360384495590213u, 1876879207201175057u }, + { 18340334751822203140u, 1501503365760940045u }, { 14672267801457762512u, 1201202692608752036u }, + { 16096930852848599373u, 1921924308174003258u }, { 1809498238053148529u, 1537539446539202607u }, + { 12515645034668249793u, 1230031557231362085u }, { 1578287981759648052u, 1968050491570179337u }, + { 12330676829633449412u, 1574440393256143469u }, { 13553890278448669853u, 1259552314604914775u }, + { 3239480371808320148u, 2015283703367863641u }, { 17348979556414297411u, 1612226962694290912u }, + { 6500486015647617283u, 1289781570155432730u }, { 10400777625036187652u, 2063650512248692368u }, + { 15699319729512770768u, 1650920409798953894u }, { 16248804598352126938u, 1320736327839163115u }, + { 7551343283653851484u, 2113178124542660985u }, { 6041074626923081187u, 1690542499634128788u }, + { 12211557331022285596u, 1352433999707303030u }, { 1091747655926105338u, 2163894399531684849u }, + { 4562746939482794594u, 1731115519625347879u }, { 7339546366328145998u, 1384892415700278303u }, + { 8053925371383123274u, 2215827865120445285u }, { 6443140297106498619u, 1772662292096356228u }, + { 12533209867169019542u, 1418129833677084982u }, { 5295740528502789974u, 2269007733883335972u }, + { 15304638867027962949u, 1815206187106668777u }, { 4865013464138549713u, 1452164949685335022u }, + { 14960057215536570740u, 1161731959748268017u }, { 9178696285890871890u, 1858771135597228828u }, + { 14721654658196518159u, 1487016908477783062u }, { 4398626097073393881u, 1189613526782226450u }, + { 7037801755317430209u, 1903381642851562320u }, { 5630241404253944167u, 1522705314281249856u }, + { 814844308661245011u, 1218164251424999885u }, { 1303750893857992017u, 1949062802279999816u }, + { 15800395974054034906u, 1559250241823999852u }, { 5261619149759407279u, 1247400193459199882u }, + { 12107939454356961969u, 1995840309534719811u }, { 5997002748743659252u, 1596672247627775849u }, + { 8486951013736837725u, 1277337798102220679u }, { 2511075177753209390u, 2043740476963553087u }, + { 13076906586428298482u, 1634992381570842469u }, { 14150874083884549109u, 1307993905256673975u }, + { 4194654460505726958u, 2092790248410678361u }, { 18113118827372222859u, 1674232198728542688u }, + { 3422448617672047318u, 1339385758982834151u }, { 16543964232501006678u, 2143017214372534641u }, + { 9545822571258895019u, 1714413771498027713u }, { 15015355686490936662u, 1371531017198422170u }, + { 5577825024675947042u, 2194449627517475473u }, { 11840957649224578280u, 1755559702013980378u }, + { 16851463748863483271u, 1404447761611184302u }, { 12204946739213931940u, 2247116418577894884u }, + { 13453306206113055875u, 1797693134862315907u }, { 3383947335406624054u, 1438154507889852726u }, + { 16482362180876329456u, 2301047212623764361u }, { 9496540929959153242u, 1840837770099011489u }, + { 11286581558709232917u, 1472670216079209191u }, { 5339916432225476010u, 1178136172863367353u }, + { 4854517476818851293u, 1885017876581387765u }, { 3883613981455081034u, 1508014301265110212u }, + { 14174937629389795797u, 1206411441012088169u }, { 11611853762797942306u, 1930258305619341071u }, + { 5600134195496443521u, 1544206644495472857u }, { 15548153800622885787u, 1235365315596378285u }, + { 6430302007287065643u, 1976584504954205257u }, { 16212288050055383484u, 1581267603963364205u }, + { 12969830440044306787u, 1265014083170691364u }, { 9683682259845159889u, 2024022533073106183u }, + { 15125643437359948558u, 1619218026458484946u }, { 8411165935146048523u, 1295374421166787957u }, + { 17147214310975587960u, 2072599073866860731u }, { 10028422634038560045u, 1658079259093488585u }, + { 8022738107230848036u, 1326463407274790868u }, { 9147032156827446534u, 2122341451639665389u }, + { 11006974540203867551u, 1697873161311732311u }, { 5116230817421183718u, 1358298529049385849u }, + { 15564666937357714594u, 2173277646479017358u }, { 1383687105660440706u, 1738622117183213887u }, + { 12174996128754083534u, 1390897693746571109u }, { 8411947361780802685u, 2225436309994513775u }, + { 6729557889424642148u, 1780349047995611020u }, { 5383646311539713719u, 1424279238396488816u }, + { 1235136468979721303u, 2278846781434382106u }, { 15745504434151418335u, 1823077425147505684u }, + { 16285752362063044992u, 1458461940118004547u }, { 5649904260166615347u, 1166769552094403638u }, + { 5350498001524674232u, 1866831283351045821u }, { 591049586477829062u, 1493465026680836657u }, + { 11540886113407994219u, 1194772021344669325u }, { 18673707743239135u, 1911635234151470921u }, + { 14772334225162232601u, 1529308187321176736u }, { 8128518565387875758u, 1223446549856941389u }, + { 1937583260394870242u, 1957514479771106223u }, { 8928764237799716840u, 1566011583816884978u }, + { 14521709019723594119u, 1252809267053507982u }, { 8477339172590109297u, 2004494827285612772u }, + { 17849917782297818407u, 1603595861828490217u }, { 6901236596354434079u, 1282876689462792174u }, + { 18420676183650915173u, 2052602703140467478u }, { 3668494502695001169u, 1642082162512373983u }, + { 10313493231639821582u, 1313665730009899186u }, { 9122891541139893884u, 2101865168015838698u }, + { 14677010862395735754u, 1681492134412670958u }, { 673562245690857633u, 1345193707530136767u } +}; + +static const uint64_t DOUBLE_POW5_SPLIT[DOUBLE_POW5_TABLE_SIZE][2] = { + { 0u, 1152921504606846976u }, { 0u, 1441151880758558720u }, + { 0u, 1801439850948198400u }, { 0u, 2251799813685248000u }, + { 0u, 1407374883553280000u }, { 0u, 1759218604441600000u }, + { 0u, 2199023255552000000u }, { 0u, 1374389534720000000u }, + { 0u, 1717986918400000000u }, { 0u, 2147483648000000000u }, + { 0u, 1342177280000000000u }, { 0u, 1677721600000000000u }, + { 0u, 2097152000000000000u }, { 0u, 1310720000000000000u }, + { 0u, 1638400000000000000u }, { 0u, 2048000000000000000u }, + { 0u, 1280000000000000000u }, { 0u, 1600000000000000000u }, + { 0u, 2000000000000000000u }, { 0u, 1250000000000000000u }, + { 0u, 1562500000000000000u }, { 0u, 1953125000000000000u }, + { 0u, 1220703125000000000u }, { 0u, 1525878906250000000u }, + { 0u, 1907348632812500000u }, { 0u, 1192092895507812500u }, + { 0u, 1490116119384765625u }, { 4611686018427387904u, 1862645149230957031u }, + { 9799832789158199296u, 1164153218269348144u }, { 12249790986447749120u, 1455191522836685180u }, + { 15312238733059686400u, 1818989403545856475u }, { 14528612397897220096u, 2273736754432320594u }, + { 13692068767113150464u, 1421085471520200371u }, { 12503399940464050176u, 1776356839400250464u }, + { 15629249925580062720u, 2220446049250313080u }, { 9768281203487539200u, 1387778780781445675u }, + { 7598665485932036096u, 1734723475976807094u }, { 274959820560269312u, 2168404344971008868u }, + { 9395221924704944128u, 1355252715606880542u }, { 2520655369026404352u, 1694065894508600678u }, + { 12374191248137781248u, 2117582368135750847u }, { 14651398557727195136u, 1323488980084844279u }, + { 13702562178731606016u, 1654361225106055349u }, { 3293144668132343808u, 2067951531382569187u }, + { 18199116482078572544u, 1292469707114105741u }, { 8913837547316051968u, 1615587133892632177u }, + { 15753982952572452864u, 2019483917365790221u }, { 12152082354571476992u, 1262177448353618888u }, + { 15190102943214346240u, 1577721810442023610u }, { 9764256642163156992u, 1972152263052529513u }, + { 17631875447420442880u, 1232595164407830945u }, { 8204786253993389888u, 1540743955509788682u }, + { 1032610780636961552u, 1925929944387235853u }, { 2951224747111794922u, 1203706215242022408u }, + { 3689030933889743652u, 1504632769052528010u }, { 13834660704216955373u, 1880790961315660012u }, + { 17870034976990372916u, 1175494350822287507u }, { 17725857702810578241u, 1469367938527859384u }, + { 3710578054803671186u, 1836709923159824231u }, { 26536550077201078u, 2295887403949780289u }, + { 11545800389866720434u, 1434929627468612680u }, { 14432250487333400542u, 1793662034335765850u }, + { 8816941072311974870u, 2242077542919707313u }, { 17039803216263454053u, 1401298464324817070u }, + { 12076381983474541759u, 1751623080406021338u }, { 5872105442488401391u, 2189528850507526673u }, + { 15199280947623720629u, 1368455531567204170u }, { 9775729147674874978u, 1710569414459005213u }, + { 16831347453020981627u, 2138211768073756516u }, { 1296220121283337709u, 1336382355046097823u }, + { 15455333206886335848u, 1670477943807622278u }, { 10095794471753144002u, 2088097429759527848u }, + { 6309871544845715001u, 1305060893599704905u }, { 12499025449484531656u, 1631326116999631131u }, + { 11012095793428276666u, 2039157646249538914u }, { 11494245889320060820u, 1274473528905961821u }, + { 532749306367912313u, 1593091911132452277u }, { 5277622651387278295u, 1991364888915565346u }, + { 7910200175544436838u, 1244603055572228341u }, { 14499436237857933952u, 1555753819465285426u }, + { 8900923260467641632u, 1944692274331606783u }, { 12480606065433357876u, 1215432671457254239u }, + { 10989071563364309441u, 1519290839321567799u }, { 9124653435777998898u, 1899113549151959749u }, + { 8008751406574943263u, 1186945968219974843u }, { 5399253239791291175u, 1483682460274968554u }, + { 15972438586593889776u, 1854603075343710692u }, { 759402079766405302u, 1159126922089819183u }, + { 14784310654990170340u, 1448908652612273978u }, { 9257016281882937117u, 1811135815765342473u }, + { 16182956370781059300u, 2263919769706678091u }, { 7808504722524468110u, 1414949856066673807u }, + { 5148944884728197234u, 1768687320083342259u }, { 1824495087482858639u, 2210859150104177824u }, + { 1140309429676786649u, 1381786968815111140u }, { 1425386787095983311u, 1727233711018888925u }, + { 6393419502297367043u, 2159042138773611156u }, { 13219259225790630210u, 1349401336733506972u }, + { 16524074032238287762u, 1686751670916883715u }, { 16043406521870471799u, 2108439588646104644u }, + { 803757039314269066u, 1317774742903815403u }, { 14839754354425000045u, 1647218428629769253u }, + { 4714634887749086344u, 2059023035787211567u }, { 9864175832484260821u, 1286889397367007229u }, + { 16941905809032713930u, 1608611746708759036u }, { 2730638187581340797u, 2010764683385948796u }, + { 10930020904093113806u, 1256727927116217997u }, { 18274212148543780162u, 1570909908895272496u }, + { 4396021111970173586u, 1963637386119090621u }, { 5053356204195052443u, 1227273366324431638u }, + { 15540067292098591362u, 1534091707905539547u }, { 14813398096695851299u, 1917614634881924434u }, + { 13870059828862294966u, 1198509146801202771u }, { 12725888767650480803u, 1498136433501503464u }, + { 15907360959563101004u, 1872670541876879330u }, { 14553786618154326031u, 1170419088673049581u }, + { 4357175217410743827u, 1463023860841311977u }, { 10058155040190817688u, 1828779826051639971u }, + { 7961007781811134206u, 2285974782564549964u }, { 14199001900486734687u, 1428734239102843727u }, + { 13137066357181030455u, 1785917798878554659u }, { 11809646928048900164u, 2232397248598193324u }, + { 16604401366885338411u, 1395248280373870827u }, { 16143815690179285109u, 1744060350467338534u }, + { 10956397575869330579u, 2180075438084173168u }, { 6847748484918331612u, 1362547148802608230u }, + { 17783057643002690323u, 1703183936003260287u }, { 17617136035325974999u, 2128979920004075359u }, + { 17928239049719816230u, 1330612450002547099u }, { 17798612793722382384u, 1663265562503183874u }, + { 13024893955298202172u, 2079081953128979843u }, { 5834715712847682405u, 1299426220705612402u }, + { 16516766677914378815u, 1624282775882015502u }, { 11422586310538197711u, 2030353469852519378u }, + { 11750802462513761473u, 1268970918657824611u }, { 10076817059714813937u, 1586213648322280764u }, + { 12596021324643517422u, 1982767060402850955u }, { 5566670318688504437u, 1239229412751781847u }, + { 2346651879933242642u, 1549036765939727309u }, { 7545000868343941206u, 1936295957424659136u }, + { 4715625542714963254u, 1210184973390411960u }, { 5894531928393704067u, 1512731216738014950u }, + { 16591536947346905892u, 1890914020922518687u }, { 17287239619732898039u, 1181821263076574179u }, + { 16997363506238734644u, 1477276578845717724u }, { 2799960309088866689u, 1846595723557147156u }, + { 10973347230035317489u, 1154122327223216972u }, { 13716684037544146861u, 1442652909029021215u }, + { 12534169028502795672u, 1803316136286276519u }, { 11056025267201106687u, 2254145170357845649u }, + { 18439230838069161439u, 1408840731473653530u }, { 13825666510731675991u, 1761050914342066913u }, + { 3447025083132431277u, 2201313642927583642u }, { 6766076695385157452u, 1375821026829739776u }, + { 8457595869231446815u, 1719776283537174720u }, { 10571994836539308519u, 2149720354421468400u }, + { 6607496772837067824u, 1343575221513417750u }, { 17482743002901110588u, 1679469026891772187u }, + { 17241742735199000331u, 2099336283614715234u }, { 15387775227926763111u, 1312085177259197021u }, + { 5399660979626290177u, 1640106471573996277u }, { 11361262242960250625u, 2050133089467495346u }, + { 11712474920277544544u, 1281333180917184591u }, { 10028907631919542777u, 1601666476146480739u }, + { 7924448521472040567u, 2002083095183100924u }, { 14176152362774801162u, 1251301934489438077u }, + { 3885132398186337741u, 1564127418111797597u }, { 9468101516160310080u, 1955159272639746996u }, + { 15140935484454969608u, 1221974545399841872u }, { 479425281859160394u, 1527468181749802341u }, + { 5210967620751338397u, 1909335227187252926u }, { 17091912818251750210u, 1193334516992033078u }, + { 12141518985959911954u, 1491668146240041348u }, { 15176898732449889943u, 1864585182800051685u }, + { 11791404716994875166u, 1165365739250032303u }, { 10127569877816206054u, 1456707174062540379u }, + { 8047776328842869663u, 1820883967578175474u }, { 836348374198811271u, 2276104959472719343u }, + { 7440246761515338900u, 1422565599670449589u }, { 13911994470321561530u, 1778206999588061986u }, + { 8166621051047176104u, 2222758749485077483u }, { 2798295147690791113u, 1389224218428173427u }, + { 17332926989895652603u, 1736530273035216783u }, { 17054472718942177850u, 2170662841294020979u }, + { 8353202440125167204u, 1356664275808763112u }, { 10441503050156459005u, 1695830344760953890u }, + { 3828506775840797949u, 2119787930951192363u }, { 86973725686804766u, 1324867456844495227u }, + { 13943775212390669669u, 1656084321055619033u }, { 3594660960206173375u, 2070105401319523792u }, + { 2246663100128858359u, 1293815875824702370u }, { 12031700912015848757u, 1617269844780877962u }, + { 5816254103165035138u, 2021587305976097453u }, { 5941001823691840913u, 1263492066235060908u }, + { 7426252279614801142u, 1579365082793826135u }, { 4671129331091113523u, 1974206353492282669u }, + { 5225298841145639904u, 1233878970932676668u }, { 6531623551432049880u, 1542348713665845835u }, + { 3552843420862674446u, 1927935892082307294u }, { 16055585193321335241u, 1204959932551442058u }, + { 10846109454796893243u, 1506199915689302573u }, { 18169322836923504458u, 1882749894611628216u }, + { 11355826773077190286u, 1176718684132267635u }, { 9583097447919099954u, 1470898355165334544u }, + { 11978871809898874942u, 1838622943956668180u }, { 14973589762373593678u, 2298278679945835225u }, + { 2440964573842414192u, 1436424174966147016u }, { 3051205717303017741u, 1795530218707683770u }, + { 13037379183483547984u, 2244412773384604712u }, { 8148361989677217490u, 1402757983365377945u }, + { 14797138505523909766u, 1753447479206722431u }, { 13884737113477499304u, 2191809349008403039u }, + { 15595489723564518921u, 1369880843130251899u }, { 14882676136028260747u, 1712351053912814874u }, + { 9379973133180550126u, 2140438817391018593u }, { 17391698254306313589u, 1337774260869386620u }, + { 3292878744173340370u, 1672217826086733276u }, { 4116098430216675462u, 2090272282608416595u }, + { 266718509671728212u, 1306420176630260372u }, { 333398137089660265u, 1633025220787825465u }, + { 5028433689789463235u, 2041281525984781831u }, { 10060300083759496378u, 1275800953740488644u }, + { 12575375104699370472u, 1594751192175610805u }, { 1884160825592049379u, 1993438990219513507u }, + { 17318501580490888525u, 1245899368887195941u }, { 7813068920331446945u, 1557374211108994927u }, + { 5154650131986920777u, 1946717763886243659u }, { 915813323278131534u, 1216698602428902287u }, + { 14979824709379828129u, 1520873253036127858u }, { 9501408849870009354u, 1901091566295159823u }, + { 12855909558809837702u, 1188182228934474889u }, { 2234828893230133415u, 1485227786168093612u }, + { 2793536116537666769u, 1856534732710117015u }, { 8663489100477123587u, 1160334207943823134u }, + { 1605989338741628675u, 1450417759929778918u }, { 11230858710281811652u, 1813022199912223647u }, + { 9426887369424876662u, 2266277749890279559u }, { 12809333633531629769u, 1416423593681424724u }, + { 16011667041914537212u, 1770529492101780905u }, { 6179525747111007803u, 2213161865127226132u }, + { 13085575628799155685u, 1383226165704516332u }, { 16356969535998944606u, 1729032707130645415u }, + { 15834525901571292854u, 2161290883913306769u }, { 2979049660840976177u, 1350806802445816731u }, + { 17558870131333383934u, 1688508503057270913u }, { 8113529608884566205u, 2110635628821588642u }, + { 9682642023980241782u, 1319147268013492901u }, { 16714988548402690132u, 1648934085016866126u }, + { 11670363648648586857u, 2061167606271082658u }, { 11905663298832754689u, 1288229753919426661u }, + { 1047021068258779650u, 1610287192399283327u }, { 15143834390605638274u, 2012858990499104158u }, + { 4853210475701136017u, 1258036869061940099u }, { 1454827076199032118u, 1572546086327425124u }, + { 1818533845248790147u, 1965682607909281405u }, { 3442426662494187794u, 1228551629943300878u }, + { 13526405364972510550u, 1535689537429126097u }, { 3072948650933474476u, 1919611921786407622u }, + { 15755650962115585259u, 1199757451116504763u }, { 15082877684217093670u, 1499696813895630954u }, + { 9630225068416591280u, 1874621017369538693u }, { 8324733676974063502u, 1171638135855961683u }, + { 5794231077790191473u, 1464547669819952104u }, { 7242788847237739342u, 1830684587274940130u }, + { 18276858095901949986u, 2288355734093675162u }, { 16034722328366106645u, 1430222333808546976u }, + { 1596658836748081690u, 1787777917260683721u }, { 6607509564362490017u, 2234722396575854651u }, + { 1823850468512862308u, 1396701497859909157u }, { 6891499104068465790u, 1745876872324886446u }, + { 17837745916940358045u, 2182346090406108057u }, { 4231062170446641922u, 1363966306503817536u }, + { 5288827713058302403u, 1704957883129771920u }, { 6611034641322878003u, 2131197353912214900u }, + { 13355268687681574560u, 1331998346195134312u }, { 16694085859601968200u, 1664997932743917890u }, + { 11644235287647684442u, 2081247415929897363u }, { 4971804045566108824u, 1300779634956185852u }, + { 6214755056957636030u, 1625974543695232315u }, { 3156757802769657134u, 2032468179619040394u }, + { 6584659645158423613u, 1270292612261900246u }, { 17454196593302805324u, 1587865765327375307u }, + { 17206059723201118751u, 1984832206659219134u }, { 6142101308573311315u, 1240520129162011959u }, + { 3065940617289251240u, 1550650161452514949u }, { 8444111790038951954u, 1938312701815643686u }, + { 665883850346957067u, 1211445438634777304u }, { 832354812933696334u, 1514306798293471630u }, + { 10263815553021896226u, 1892883497866839537u }, { 17944099766707154901u, 1183052186166774710u }, + { 13206752671529167818u, 1478815232708468388u }, { 16508440839411459773u, 1848519040885585485u }, + { 12623618533845856310u, 1155324400553490928u }, { 15779523167307320387u, 1444155500691863660u }, + { 1277659885424598868u, 1805194375864829576u }, { 1597074856780748586u, 2256492969831036970u }, + { 5609857803915355770u, 1410308106144398106u }, { 16235694291748970521u, 1762885132680497632u }, + { 1847873790976661535u, 2203606415850622041u }, { 12684136165428883219u, 1377254009906638775u }, + { 11243484188358716120u, 1721567512383298469u }, { 219297180166231438u, 2151959390479123087u }, + { 7054589765244976505u, 1344974619049451929u }, { 13429923224983608535u, 1681218273811814911u }, + { 12175718012802122765u, 2101522842264768639u }, { 14527352785642408584u, 1313451776415480399u }, + { 13547504963625622826u, 1641814720519350499u }, { 12322695186104640628u, 2052268400649188124u }, + { 16925056528170176201u, 1282667750405742577u }, { 7321262604930556539u, 1603334688007178222u }, + { 18374950293017971482u, 2004168360008972777u }, { 4566814905495150320u, 1252605225005607986u }, + { 14931890668723713708u, 1565756531257009982u }, { 9441491299049866327u, 1957195664071262478u }, + { 1289246043478778550u, 1223247290044539049u }, { 6223243572775861092u, 1529059112555673811u }, + { 3167368447542438461u, 1911323890694592264u }, { 1979605279714024038u, 1194577431684120165u }, + { 7086192618069917952u, 1493221789605150206u }, { 18081112809442173248u, 1866527237006437757u }, + { 13606538515115052232u, 1166579523129023598u }, { 7784801107039039482u, 1458224403911279498u }, + { 507629346944023544u, 1822780504889099373u }, { 5246222702107417334u, 2278475631111374216u }, + { 3278889188817135834u, 1424047269444608885u }, { 8710297504448807696u, 1780059086805761106u } +}; + +// IEEE 754 double precision constants +#define DOUBLE_MANTISSA_BITS 52 +#define DOUBLE_EXPONENT_BITS 11 +#define DOUBLE_EXPONENT_BIAS 1023 + +// Helper: floor(log2(value)) using ryu_leading_zeros64 +static inline uint32_t floor_log2(const uint64_t value) { + return 63 - ryu_leading_zeros64(value); +} + +// Helper: log2(5^e) approximation +static inline int32_t log2pow5(const int32_t e) { + return (int32_t) ((((uint32_t) e) * 1217359) >> 19); +} + +// Helper: ceil(log2(5^e)) +static inline int32_t ceil_log2pow5(const int32_t e) { + return log2pow5(e) + 1; +} + +// Helper: max of two int32 +static inline int32_t max32(int32_t a, int32_t b) { + return a < b ? b : a; +} + +// Helper: convert uint64 bits to double +static inline double int64Bits2Double(uint64_t bits) { + double f; + memcpy(&f, &bits, sizeof(double)); + return f; +} + +// Check if value is multiple of 2^p +static inline bool multipleOfPowerOf2(const uint64_t value, const uint32_t p) { + return (value & ((1ull << p) - 1)) == 0; +} + +// Count how many times value is divisible by 5 +// Uses modular inverse to avoid expensive division +static inline uint32_t pow5Factor(uint64_t value) { + const uint64_t m_inv_5 = 14757395258967641293u; // 5 * m_inv_5 = 1 (mod 2^64) + const uint64_t n_div_5 = 3689348814741910323u; // 2^64 / 5 + uint32_t count = 0; + for (;;) { + value *= m_inv_5; + if (value > n_div_5) + break; + ++count; + } + return count; +} + +// Check if value is multiple of 5^p +// Optimized: uses modular inverse instead of division +static inline bool multipleOfPowerOf5(const uint64_t value, const uint32_t p) { + return pow5Factor(value) >= p; +} + +// 128-bit multiplication with shift +// This is the core operation for converting decimal to binary +#if defined(__SIZEOF_INT128__) +// Use native 128-bit integers if available (GCC/Clang) +static inline uint64_t mulShift64(const uint64_t m, const uint64_t* const mul, const int32_t j) { + const unsigned __int128 b0 = ((unsigned __int128) m) * mul[0]; + const unsigned __int128 b2 = ((unsigned __int128) m) * mul[1]; + return (uint64_t) (((b0 >> 64) + b2) >> (j - 64)); +} +#else +// Fallback for systems without 128-bit integers +static inline uint64_t umul128(const uint64_t a, const uint64_t b, uint64_t* const productHi) { + const uint32_t aLo = (uint32_t)a; + const uint32_t aHi = (uint32_t)(a >> 32); + const uint32_t bLo = (uint32_t)b; + const uint32_t bHi = (uint32_t)(b >> 32); + + const uint64_t b00 = (uint64_t)aLo * bLo; + const uint64_t b01 = (uint64_t)aLo * bHi; + const uint64_t b10 = (uint64_t)aHi * bLo; + const uint64_t b11 = (uint64_t)aHi * bHi; + + const uint32_t b00Lo = (uint32_t)b00; + const uint32_t b00Hi = (uint32_t)(b00 >> 32); + + const uint64_t mid1 = b10 + b00Hi; + const uint32_t mid1Lo = (uint32_t)(mid1); + const uint32_t mid1Hi = (uint32_t)(mid1 >> 32); + + const uint64_t mid2 = b01 + mid1Lo; + const uint32_t mid2Lo = (uint32_t)(mid2); + const uint32_t mid2Hi = (uint32_t)(mid2 >> 32); + + const uint64_t pHi = b11 + mid1Hi + mid2Hi; + const uint64_t pLo = ((uint64_t)mid2Lo << 32) | b00Lo; + + *productHi = pHi; + return pLo; +} + +static inline uint64_t shiftright128(const uint64_t lo, const uint64_t hi, const uint32_t dist) { + return (hi << (64 - dist)) | (lo >> dist); +} + +static inline uint64_t mulShift64(const uint64_t m, const uint64_t* const mul, const int32_t j) { + uint64_t high1; + const uint64_t low1 = umul128(m, mul[1], &high1); + uint64_t high0; + umul128(m, mul[0], &high0); + const uint64_t sum = high0 + low1; + if (sum < high0) { + ++high1; + } + return shiftright128(sum, high1, j - 64); +} +#endif + +// Main conversion function: decimal mantissa+exponent to IEEE 754 double +// Optimized for JSON parsing with fast paths for edge cases +static inline double ryu_s2d_from_parts(uint64_t m10, int m10digits, int32_t e10, bool signedM) { + // Fast path: handle zero explicitly (e.g., "0.0", "0e0") + if (m10 == 0) { + return int64Bits2Double(((uint64_t) signedM) << 63); + } + + // Fast path: handle overflow/underflow early + if (m10digits + e10 <= -324) { + // Underflow to zero + return int64Bits2Double(((uint64_t) signedM) << 63); + } + + if (m10digits + e10 >= 310) { + // Overflow to infinity + return int64Bits2Double((((uint64_t) signedM) << 63) | 0x7ff0000000000000ULL); + } + + // Convert decimal to binary: m10 * 10^e10 = m2 * 2^e2 + int32_t e2; + uint64_t m2; + bool trailingZeros; + + if (e10 >= 0) { + // Positive exponent: multiply by 5^e10 and adjust binary exponent + e2 = floor_log2(m10) + e10 + log2pow5(e10) - (DOUBLE_MANTISSA_BITS + 1); + int j = e2 - e10 - ceil_log2pow5(e10) + DOUBLE_POW5_BITCOUNT; + m2 = mulShift64(m10, DOUBLE_POW5_SPLIT[e10], j); + trailingZeros = e2 < e10 || (e2 - e10 < 64 && multipleOfPowerOf2(m10, e2 - e10)); + } else { + // Negative exponent: divide by 5^(-e10) + e2 = floor_log2(m10) + e10 - ceil_log2pow5(-e10) - (DOUBLE_MANTISSA_BITS + 1); + int j = e2 - e10 + ceil_log2pow5(-e10) - 1 + DOUBLE_POW5_INV_BITCOUNT; + m2 = mulShift64(m10, DOUBLE_POW5_INV_SPLIT[-e10], j); + trailingZeros = multipleOfPowerOf5(m10, -e10); + } + + // Compute IEEE 754 exponent + uint32_t ieee_e2 = (uint32_t) max32(0, e2 + DOUBLE_EXPONENT_BIAS + floor_log2(m2)); + + if (ieee_e2 > 0x7fe) { + // Overflow to infinity + return int64Bits2Double((((uint64_t) signedM) << 63) | 0x7ff0000000000000ULL); + } + + // Compute shift amount for rounding + int32_t shift = (ieee_e2 == 0 ? 1 : ieee_e2) - e2 - DOUBLE_EXPONENT_BIAS - DOUBLE_MANTISSA_BITS; + + // IEEE 754 round-to-even (banker's rounding) + trailingZeros &= (m2 & ((1ull << (shift - 1)) - 1)) == 0; + uint64_t lastRemovedBit = (m2 >> (shift - 1)) & 1; + bool roundUp = (lastRemovedBit != 0) && (!trailingZeros || (((m2 >> shift) & 1) != 0)); + + uint64_t ieee_m2 = (m2 >> shift) + roundUp; + ieee_m2 &= (1ull << DOUBLE_MANTISSA_BITS) - 1; + + if (ieee_m2 == 0 && roundUp) { + ieee_e2++; + } + + // Pack sign, exponent, and mantissa into IEEE 754 format + // Match original Ryu: group sign+exponent, then shift and add mantissa + uint64_t ieee = (((((uint64_t) signedM) << DOUBLE_EXPONENT_BITS) | (uint64_t)ieee_e2) << DOUBLE_MANTISSA_BITS) | ieee_m2; + return int64Bits2Double(ieee); +} + +#endif // RYU_H |