/* Exponential function. Copyright (C) 2011-2024 Free Software Foundation, Inc. This file is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This file is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . */ #include /* gl_expl_table[i] = exp((i - 128) * log(2)/256). Computed in GNU clisp through (setf (long-float-digits) 128) (setq a 0L0) (setf (long-float-digits) 256) (dotimes (i 257) (format t " ~D,~%" (float (exp (* (/ (- i 128) 256) (log 2L0))) a))) */ const long double gl_expl_table[257] = { 0.707106781186547524400844362104849039284L, 0.709023942160207598920563322257676190836L, 0.710946301084582779904674297352120049962L, 0.71287387205274715340350157671438300618L, 0.714806669195985005617532889137569953044L, 0.71674470668389442125974978427737336719L, 0.71868799872449116280161304224785251353L, 0.720636559564312831364255957304947586072L, 0.72259040348852331001850312073583545284L, 0.724549544821017490259402705487111270714L, 0.726513997924526282423036245842287293786L, 0.728483777200721910815451524818606761737L, 0.730458897090323494325651445155310766577L, 0.732439372073202913296664682112279175616L, 0.734425216668490963430822513132890712652L, 0.736416445434683797507470506133110286942L, 0.738413072969749655693453740187024961962L, 0.740415113911235885228829945155951253966L, 0.742422582936376250272386395864403155277L, 0.744435494762198532693663597314273242753L, 0.746453864145632424600321765743336770838L, 0.748477705883617713391824861712720862423L, 0.750507034813212760132561481529764324813L, 0.752541865811703272039672277899716132493L, 0.75458221379671136988300977551659676571L, 0.756628093726304951096818488157633113612L, 0.75867952059910734940489114658718937343L, 0.760736509454407291763130627098242426467L, 0.762799075372269153425626844758470477304L, 0.76486723347364351194254345936342587308L, 0.766940998920478000900300751753859329456L, 0.769020386915828464216738479594307884331L, 0.771105412703970411806145931045367420652L, 0.773196091570510777431255778146135325272L, 0.77529243884249997956151370535341912283L, 0.777394469888544286059157168801667390437L, 0.779502200118918483516864044737428940745L, 0.781615644985678852072965367573877941354L, 0.783734819982776446532455855478222575498L, 0.78585974064617068462428149076570281356L, 0.787990422553943243227635080090952504452L, 0.790126881326412263402248482007960521995L, 0.79226913262624686505993407346567890838L, 0.794417192158581972116898048814333564685L, 0.796571075671133448968624321559534367934L, 0.798730798954313549131410147104316569576L, 0.800896377841346676896923120795476813684L, 0.803067828208385462848443946517563571584L, 0.805245165974627154089760333678700291728L, 0.807428407102430320039984581575729114268L, 0.809617567597431874649880866726368203972L, 0.81181266350866441589760797777344082227L, 0.814013710928673883424109261007007338614L, 0.816220725993637535170713864466769240053L, 0.818433724883482243883852017078007231025L, 0.82065272382200311435413206848451310067L, 0.822877739076982422259378362362911222833L, 0.825108786960308875483586738272485101678L, 0.827345883828097198786118571797909120834L, 0.829589046080808042697824787210781231927L, 0.831838290163368217523168228488195222638L, 0.834093632565291253329796170708536192903L, 0.836355089820798286809404612069230711295L, 0.83862267850893927589613232455870870518L, 0.84089641525371454303112547623321489504L, 0.84317631672419664796432298771385230143L, 0.84546239963465259098692866759361830709L, 0.84775468074466634749045860363936420312L, 0.850053176859261734750681286748751167545L, 0.852357904829025611837203530384718316326L, 0.854668881550231413551897437515331498025L, 0.856986123964963019301812477839166009452L, 0.859309649061238957814672188228156252257L, 0.861639473873136948607517116872358729753L, 0.863975615480918781121524414614366207052L, 0.866318091011155532438509953514163469652L, 0.868666917636853124497101040936083380124L, 0.871022112577578221729056715595464682243L, 0.873383693099584470038708278290226842228L, 0.875751676515939078050995142767930296012L, 0.878126080186649741556080309687656610647L, 0.880506921518791912081045787323636256171L, 0.882894217966636410521691124969260937028L, 0.885287987031777386769987907431242017412L, 0.88768824626326062627527960009966160388L, 0.89009501325771220447985955243623523504L, 0.892508305659467490072110281986409916153L, 0.8949281411607004980029443898876582985L, 0.897354537501553593213851621063890907178L, 0.899787512470267546027427696662514569756L, 0.902227083903311940153838631655504844215L, 0.904673269685515934269259325789226871994L, 0.907126087750199378124917300181170171233L, 0.909585556079304284147971563828178746372L, 0.91205169270352665549806275316460097744L, 0.914524515702448671545983912696158354092L, 0.91700404320467123174354159479414442804L, 0.919490293387946858856304371174663918816L, 0.921983284479312962533570386670938449637L, 0.92448303475522546419252726694739603678L, 0.92698956254169278419622653516884831976L, 0.929502886214410192307650717745572682403L, 0.932023024198894522404814545597236289343L, 0.934549994970619252444512104439799143264L, 0.93708381705514995066499947497722326722L, 0.93962450902828008902058735120448448827L, 0.942172089516167224843810351983745154882L, 0.944726577195469551733539267378681531548L, 0.947287990793482820670109326713462307376L, 0.949856349088277632361251759806996099924L, 0.952431670908837101825337466217860725517L, 0.955013975135194896221170529572799135168L, 0.957603280698573646936305635147915443924L, 0.960199606581523736948607188887070611744L, 0.962802971818062464478519115091191368377L, 0.965413395493813583952272948264534783197L, 0.968030896746147225299027952283345762418L, 0.970655494764320192607710617437589705184L, 0.973287208789616643172102023321302921373L, 0.97592605811548914795551023340047499377L, 0.978572062087700134509161125813435745597L, 0.981225240104463713381244885057070325016L, 0.983885611616587889056366801238014683926L, 0.98655319612761715646797006813220671315L, 0.989228013193975484129124959065583667775L, 0.99191008242510968492991311132615581644L, 0.994599423483633175652477686222166314457L, 0.997296056085470126257659913847922601123L, 1.0L, 1.00271127505020248543074558845036204047L, 1.0054299011128028213513839559347998147L, 1.008155898118417515783094890817201039276L, 1.01088928605170046002040979056186052439L, 1.013630084951489438840258929063939929597L, 1.01637831491095303794049311378629406276L, 1.0191339960777379496848780958207928794L, 1.02189714865411667823448013478329943978L, 1.02466779289713564514828907627081492763L, 1.0274459491187636965388611939222137815L, 1.030231637686041012871707902453904567093L, 1.033024879021228422500108283970460918086L, 1.035825693601957120029983209018081371844L, 1.03863410196137879061243669795463973258L, 1.04145012468831614126454607901189312648L, 1.044273782427413840321966478739929008784L, 1.04710509587928986612990725022711224056L, 1.04994408580068726608203812651590790906L, 1.05279077300462632711989120298074630319L, 1.05564517836055715880834132515293865216L, 1.058507322794512690105772109683716645074L, 1.061377227289262080950567678003883726294L, 1.06425491288446454978861125700158022068L, 1.06714040067682361816952112099280916261L, 1.0700337118202417735424119367576235685L, 1.072934867525975551385035450873827585343L, 1.075843889062791037803228648476057074063L, 1.07876079775711979374068003743848295849L, 1.081685614993215201942115594422531125643L, 1.08461836221330923781610517190661434161L, 1.087559060917769665346797830944039707867L, 1.09050773266525765920701065576070797899L, 1.09346439907288585422822014625044716208L, 1.096429081816376823386138295859248481766L, 1.09940180263022198546369696823882990404L, 1.10238258330784094355641420942564685751L, 1.10537144570174125558827469625695031104L, 1.108368411723678638009423649426619850137L, 1.111373503344817603850149254228916637444L, 1.1143867425958925363088129569196030678L, 1.11740815156736919905457996308578026665L, 1.12043775240960668442900387986631301277L, 1.123475567333019800733729739775321431954L, 1.12652161860824189979479864378703477763L, 1.129575928566288145997264988840249825907L, 1.13263851959871922798707372367762308438L, 1.13570941415780551424039033067611701343L, 1.13878863475669165370383028384151125472L, 1.14187620396956162271229760828788093894L, 1.14497214443180421939441388822291589579L, 1.14807647884017900677879966269734268003L, 1.15118922995298270581775963520198253612L, 1.154310420590216039548221528724806960684L, 1.157440073633751029613085766293796821106L, 1.16057821202749874636945947257609098625L, 1.16372485877757751381357359909218531234L, 1.166880036952481570555516298414089287834L, 1.170043769683250188080259035792738573L, 1.17321608016363724753480435451324538889L, 1.176396991650281276284645728483848641054L, 1.17958652746287594548610056676944051898L, 1.182784710984341029924457204693850757966L, 1.18599156566099383137126564953421556374L, 1.18920711500272106671749997056047591529L, 1.19243138258315122214272755814543101148L, 1.195664392039827374583837049865451975705L, 1.19890616707438048177030255797630020695L, 1.202156731452703142096396957497765876003L, 1.205416109005123825604211432558411335666L, 1.208684323626581577354792255889216998484L, 1.21196139927680119446816891773249304545L, 1.215247359980468878116520251338798457624L, 1.218542229827408361758207148117394510724L, 1.221846032972757516903891841911570785836L, 1.225158793637145437709464594384845353707L, 1.22848053610687000569400895779278184036L, 1.2318112847340759358845566532127948166L, 1.235151063936933305692912507415415760294L, 1.238499898199816567833368865859612431545L, 1.24185781207348404859367746872659560551L, 1.24522483017525793277520496748615267417L, 1.24860097718920473662176609730249554519L, 1.25198627786631627006020603178920359732L, 1.255380757024691089579390657442301194595L, 1.25878443954971644307786044181516261876L, 1.26219735039425070801401025851841645967L, 1.265619514578806324196273999873453036296L, 1.26905095719173322255441908103233800472L, 1.27249170338940275123669204418460217677L, 1.27594177839639210038120243475928938891L, 1.27940120750566922691358797002785254596L, 1.28287001607877828072666978102151405111L, 1.286348229546025533601482208069738348355L, 1.28983587340666581223274729549155218968L, 1.293332973229089436725559789048704304684L, 1.296839554651009665933754117792451159835L, 1.30035564337965065101414056707091779129L, 1.30388126519193589857452364895199736833L, 1.30741644593467724479715157747196172848L, 1.310961211524764341922991786330755849366L, 1.314515587949354658485983613383997794965L, 1.318079601266063994690185647066116617664L, 1.32165327760315751432651181233060922616L, 1.32523664315974129462953709549872167411L, 1.32882972420595439547865089632866510792L, 1.33243254708316144935164337949073577407L, 1.33604513820414577344262790437186975929L, 1.33966752405330300536003066972435257602L, 1.34329973118683526382421714618163087542L, 1.346941786232945835788173713229537282075L, 1.35059371589203439140852219606013396004L, 1.35425554693689272829801474014070280434L, 1.357927306212901046494536695671766697446L, 1.36160902063822475558553593883194147464L, 1.36530071720401181543069836033754285543L, 1.36900242297459061192960113298219283217L, 1.37271416508766836928499785714471721579L, 1.37643597075453010021632280551868696026L, 1.380167867260238095581945274358283464697L, 1.383909881963831954872659527265192818L, 1.387662042298529159042861017950775988896L, 1.39142437577192618714983552956624344668L, 1.395196909966200178275574599249220994716L, 1.398979672538311140209528136715194969206L, 1.40277269122020470637471352433337881711L, 1.40657599381901544248361973255451684411L, 1.410389608217270704414375128268675481145L, 1.41421356237309504880168872420969807857L };