| /* Natural logarithm of 1 plus argument. |
| Copyright (C) 2011-2020 Free Software Foundation, Inc. |
| |
| This program is free software: you can redistribute it and/or modify |
| it under the terms of the GNU General Public License as published by |
| the Free Software Foundation; either version 3 of the License, or |
| (at your option) any later version. |
| |
| This program 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 General Public License for more details. |
| |
| You should have received a copy of the GNU General Public License |
| along with this program. If not, see <https://www.gnu.org/licenses/>. */ |
| |
| #include <config.h> |
| |
| /* Specification. */ |
| #include <math.h> |
| |
| #if HAVE_SAME_LONG_DOUBLE_AS_DOUBLE |
| |
| long double |
| log1pl (long double x) |
| { |
| return log1p (x); |
| } |
| |
| #else |
| |
| long double |
| log1pl (long double x) |
| { |
| if (isnanl (x)) |
| return x; |
| |
| if (x <= -1.0L) |
| { |
| if (x == -1.0L) |
| /* Return -Infinity. */ |
| return - HUGE_VALL; |
| else |
| { |
| /* Return NaN. */ |
| #if defined _MSC_VER || (defined __sgi && !defined __GNUC__) |
| static long double zero; |
| return zero / zero; |
| #else |
| return 0.0L / 0.0L; |
| #endif |
| } |
| } |
| |
| if (x < -0.5L || x > 1.0L) |
| return logl (1.0L + x); |
| /* Here -0.5 <= x <= 1.0. */ |
| |
| if (x == 0.0L) |
| /* Return a zero with the same sign as x. */ |
| return x; |
| |
| /* Decompose x into |
| 1 + x = (1 + m/256) * (1 + y) |
| where |
| m is an integer, -128 <= m <= 256, |
| y is a number, |y| <= 1/256. |
| y is computed as |
| y = (256 * x - m) / (256 + m). |
| Then |
| log(1+x) = log(m/256) + log(1+y) |
| The first summand is a table lookup. |
| The second summand is computed |
| - either through the power series |
| log(1+y) = y |
| - 1/2 * y^2 |
| + 1/3 * y^3 |
| - 1/4 * y^4 |
| + 1/5 * y^5 |
| - 1/6 * y^6 |
| + 1/7 * y^7 |
| - 1/8 * y^8 |
| + 1/9 * y^9 |
| - 1/10 * y^10 |
| + 1/11 * y^11 |
| - 1/12 * y^12 |
| + 1/13 * y^13 |
| - 1/14 * y^14 |
| + 1/15 * y^15 |
| - ... |
| - or as log(1+y) = log((1+z)/(1-z)) = 2 * atanh(z) |
| where z = y/(2+y) |
| and atanh(z) is computed through its power series: |
| atanh(z) = z |
| + 1/3 * z^3 |
| + 1/5 * z^5 |
| + 1/7 * z^7 |
| + 1/9 * z^9 |
| + 1/11 * z^11 |
| + 1/13 * z^13 |
| + 1/15 * z^15 |
| + ... |
| Since |z| <= 1/511 < 0.002, the relative contribution of the z^15 |
| term is < 1/15*0.002^14 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we |
| can truncate the series after the z^13 term. */ |
| |
| { |
| long double m = roundl (x * 256.0L); |
| long double y = ((x * 256.0L) - m) / (m + 256.0L); |
| long double z = y / (2.0L + y); |
| |
| /* Coefficients of the power series for atanh(z). */ |
| #define ATANH_COEFF_1 1.0L |
| #define ATANH_COEFF_3 0.333333333333333333333333333333333333334L |
| #define ATANH_COEFF_5 0.2L |
| #define ATANH_COEFF_7 0.142857142857142857142857142857142857143L |
| #define ATANH_COEFF_9 0.1111111111111111111111111111111111111113L |
| #define ATANH_COEFF_11 0.090909090909090909090909090909090909091L |
| #define ATANH_COEFF_13 0.076923076923076923076923076923076923077L |
| #define ATANH_COEFF_15 0.066666666666666666666666666666666666667L |
| |
| long double z2 = z * z; |
| long double atanh_z = |
| ((((((ATANH_COEFF_13 |
| * z2 + ATANH_COEFF_11) |
| * z2 + ATANH_COEFF_9) |
| * z2 + ATANH_COEFF_7) |
| * z2 + ATANH_COEFF_5) |
| * z2 + ATANH_COEFF_3) |
| * z2 + ATANH_COEFF_1) |
| * z; |
| |
| /* logl_table[i] = log((i + 128) / 256). |
| Computed in GNU clisp through |
| (setf (long-float-digits) 128) |
| (setq a 0L0) |
| (setf (long-float-digits) 256) |
| (dotimes (i 385) |
| (format t " ~D,~%" |
| (float (log (* (/ (+ i 128) 256) 1L0)) a))) */ |
| static const long double logl_table[385] = |
| { |
| -0.693147180559945309417232121458176568075L, |
| -0.6853650401178903604697692213970398044L, |
| -0.677642994023980055266378075415729732197L, |
| -0.669980121278410931188432960495886651496L, |
| -0.662375521893191621046203913861404403985L, |
| -0.65482831625780871022347679633437927773L, |
| -0.647337644528651106250552853843513225963L, |
| -0.639902666041133026551361927671647791137L, |
| -0.632522558743510466836625989417756304788L, |
| -0.625196518651437560022666843685547154042L, |
| -0.617923759322357783718626781474514153438L, |
| -0.61070351134887071814907205278986876216L, |
| -0.60353502187025817679728065207969203929L, |
| -0.59641755410139419712166106497071313106L, |
| -0.58935038687830174459117031769420187977L, |
| -0.582332814219655195222425952134964639978L, |
| -0.575364144903561854878438011987654863008L, |
| -0.568443702058988073553825606077313299585L, |
| -0.561570822771226036828515992768693405624L, |
| -0.554744857700826173731906247856527380683L, |
| -0.547965170715447412135297057717612244552L, |
| -0.541231138534103334345428696561292056747L, |
| -0.534542150383306725323860946832334992828L, |
| -0.527897607664638146541620672180936254347L, |
| -0.52129692363328608707713317540302930314L, |
| -0.514739523087127012297831879947234599722L, |
| -0.50822484206593331675332852879892694707L, |
| -0.50175232756031585480793331389686769463L, |
| -0.495321437230025429054660050261215099L, |
| -0.488931639131254417913411735261937295862L, |
| -0.482582411452595671747679308725825054355L, |
| -0.476273242259330949798142595713829069596L, |
| -0.470003629245735553650937031148342064701L, |
| -0.463773079495099479425751396412036696525L, |
| -0.457581109247178400339643902517133157939L, |
| -0.451427243672800141272924605544662667972L, |
| -0.445311016655364052636629355711651820077L, |
| -0.43923197057898186527990882355156990061L, |
| -0.4331896561230192424451526269158655235L, |
| -0.427183632062807368078106194920633178807L, |
| -0.421213465076303550585562626925177406092L, |
| -0.415278729556489003230882088534775334993L, |
| -0.409379007429300711070330899107921801414L, |
| -0.403513887976902632538339065932507598071L, |
| -0.397682967666109433030550215403212372894L, |
| -0.391885849981783528404356583224421075418L, |
| -0.386122145265033447342107580922798666387L, |
| -0.380391470556048421030985561769857535915L, |
| -0.374693449441410693606984907867576972481L, |
| -0.369027711905733333326561361023189215893L, |
| -0.363393894187477327602809309537386757124L, |
| -0.357791638638807479160052541644010369001L, |
| -0.352220593589352099112142921677820359633L, |
| -0.346680413213736728498769933032403617363L, |
| -0.341170757402767124761784665198737642087L, |
| -0.33569129163814153519122263131727209364L, |
| -0.330241686870576856279407775480686721935L, |
| -0.324821619401237656369001967407777741178L, |
| -0.31943077076636122859621528874235306143L, |
| -0.314068827624975851026378775827156709194L, |
| -0.308735481649613269682442058976885699557L, |
| -0.303430429419920096046768517454655701024L, |
| -0.298153372319076331310838085093194799765L, |
| -0.292904016432932602487907019463045397996L, |
| -0.287682072451780927439219005993827431504L, |
| -0.282487255574676923482925918282353780414L, |
| -0.277319285416234343803903228503274262719L, |
| -0.272177885915815673288364959951380595626L, |
| -0.267062785249045246292687241862699949179L, |
| -0.261973715741573968558059642502581569596L, |
| -0.256910413785027239068190798397055267412L, |
| -0.251872619755070079927735679796875342712L, |
| -0.2468600779315257978846419408385075613265L, |
| -0.24187253642048672427253973837916408939L, |
| -0.2369097470783577150364265832942468196375L, |
| -0.2319714654377751430492321958603212094726L, |
| -0.2270574506353460848586128739534071682175L, |
| -0.222167465341154296870334265401817316702L, |
| -0.2173012756899813951520225351537951559L, |
| -0.212458651214193401740613666010165016867L, |
| -0.2076393647782445016154410442673876674964L, |
| -0.202843192514751471266885961812429707545L, |
| -0.1980699137620937948192675366153429027185L, |
| -0.193319311003495979595900706211132426563L, |
| -0.188591169807550022358923589720001638093L, |
| -0.183885278770137362613157202229852743197L, |
| -0.179201429457710992616226033183958974965L, |
| -0.174539416351899677264255125093377869519L, |
| -0.169899036795397472900424896523305726435L, |
| -0.165280090939102924303339903679875604517L, |
| -0.160682381690473465543308397998034325468L, |
| -0.156105714663061654850502877304344269052L, |
| -0.1515498981272009378406898175577424691056L, |
| -0.1470147429618096590348349122269674042104L, |
| -0.142500062607283030157283942253263107981L, |
| -0.1380056730194437167017517619422725179055L, |
| -0.1335313926245226231463436209313499745895L, |
| -0.129077042275142343345847831367985856258L, |
| -0.124642445207276597338493356591214304499L, |
| -0.1202274269981598003244753948319154994493L, |
| -0.115831815525121705099120059938680166568L, |
| -0.1114554409253228268966213677328042273655L, |
| -0.1070981355563671005131126851708522185606L, |
| -0.1027597339577689347753154133345778104976L, |
| -0.098440072813252519902888574928971234883L, |
| -0.094138990913861910035632096996525066015L, |
| -0.0898563291218610470766469347968659624282L, |
| -0.0855919303354035139161469686670511961825L, |
| -0.0813456394539524058873423550293617843895L, |
| -0.077117303344431289769666193261475917783L, |
| -0.072906770808087780565737488890929711303L, |
| -0.0687138925480518083746933774035034481663L, |
| -0.064538521137571171672923915683992928129L, |
| -0.0603805109889074798714456529545968095868L, |
| -0.0562397183228760777967376942769773768851L, |
| -0.0521160011390140183616307870527840213665L, |
| -0.0480092191863606077520036253234446621373L, |
| -0.0439192339348354905263921515528654458042L, |
| -0.0398459085471996706586162402473026835046L, |
| -0.0357891078515852792753420982122404025613L, |
| -0.0317486983145803011569962827485256299276L, |
| -0.0277245480148548604671395114515163869272L, |
| -0.0237165266173160421183468505286730579517L, |
| -0.0197245053477785891192717326571593033246L, |
| -0.015748356968139168607549511460828269521L, |
| -0.0117879557520422404691605618900871263399L, |
| -0.0078431774610258928731840424909435816546L, |
| -0.00391389932113632909231778364357266484272L, |
| 0.0L, |
| 0.00389864041565732301393734309584290701073L, |
| 0.00778214044205494894746290006113676367813L, |
| 0.01165061721997527413559144280921434893315L, |
| 0.0155041865359652541508540460424468358779L, |
| 0.01934296284313093463590553454155047018545L, |
| 0.0231670592815343782287991609622899165794L, |
| 0.0269765876982020757480692925396595457815L, |
| 0.0307716586667536883710282075967721640917L, |
| 0.0345523815066597334073715005898328652816L, |
| 0.038318864302136599193755325123797290346L, |
| 0.042071213920687054375203805926962379448L, |
| 0.045809536031294203166679267614663342114L, |
| 0.049533935122276630882096208829824573267L, |
| 0.0532445145188122828658701937865287769396L, |
| 0.0569413764001384247590131015404494943015L, |
| 0.0606246218164348425806061320404202632862L, |
| 0.0642943507053972572162284502656114944857L, |
| 0.0679506619085077493945652777726294140346L, |
| 0.071593653187008817925605272752092034269L, |
| 0.075223421237587525698605339983662414637L, |
| 0.078840061707776024531540577859198294559L, |
| 0.082443669211074591268160068668307805914L, |
| 0.086034337341803153381797826721996075141L, |
| 0.0896121586896871326199514693784845287854L, |
| 0.093177224854183289768781353027759396216L, |
| 0.096729626458551112295571056487463437015L, |
| 0.1002694531636751493081301751297276601964L, |
| 0.1037967936816435648260618037639746883066L, |
| 0.1073117357890880506671750303711543368066L, |
| 0.1108143663402901141948061693232119280986L, |
| 0.1143047712800586336342591448151747734094L, |
| 0.1177830356563834545387941094705217050686L, |
| 0.1212492436328696851612122640808405265723L, |
| 0.1247034785009572358634065153808632684918L, |
| 0.128145822691930038174109886961074873852L, |
| 0.1315763577887192725887161286894831624516L, |
| 0.134995164537504830601983291147085645626L, |
| 0.138402322859119135685325873601649187393L, |
| 0.1417979118602573498789527352804727189846L, |
| 0.1451820098444978972819350637405643235226L, |
| 0.1485546943231371429098223170672938691604L, |
| 0.151916042025841975071803424896884511328L, |
| 0.1552661289111239515223833017101021786436L, |
| 0.1586050301766385840933711746258415752456L, |
| 0.161932820269313253240338285123614220592L, |
| 0.165249572895307162875611449277240313729L, |
| 0.1685553610298066669415865321701023169345L, |
| 0.171850256926659222340098946055147264935L, |
| 0.1751343321278491480142914649863898412374L, |
| 0.1784076574728182971194002415109419683545L, |
| 0.181670303107634678260605595617079739242L, |
| 0.184922338494011992663903592659249621006L, |
| 0.1881638324181829868259905803105539806714L, |
| 0.191394852999629454609298807561308873447L, |
| 0.194615467699671658858138593767269731516L, |
| 0.1978257433299198803625720711969614690756L, |
| 0.201025746060590741340908337591797808969L, |
| 0.204215541428690891503820386196239272214L, |
| 0.2073951943460705871587455788490062338536L, |
| 0.210564769107349637669552812732351513721L, |
| 0.2137243293977181388619051976331987647734L, |
| 0.216873938300614359619089525744347498479L, |
| 0.220013658305282095907358638661628360712L, |
| 0.2231435513142097557662950903098345033745L, |
| 0.226263678650453389361787082280390161607L, |
| 0.229374101064845829991480725046139871551L, |
| 0.232474878743094064920705078095567528222L, |
| 0.235566071312766909077588218941043410137L, |
| 0.2386477378501750099171491363522813392526L, |
| 0.241719936887145168144307515913513900104L, |
| 0.244782726417690916434704717466314811104L, |
| 0.247836163904581256780602765746524747999L, |
| 0.25088030628580941658844644154994089393L, |
| 0.253915209980963444137323297906606667466L, |
| 0.256940930897500425446759867911224262093L, |
| 0.259957524436926066972079494542311044577L, |
| 0.26296504550088135182072917321108602859L, |
| 0.265963548497137941339125926537543389269L, |
| 0.268953087345503958932974357924497845489L, |
| 0.271933715483641758831669494532999161983L, |
| 0.274905485872799249167009582983018668293L, |
| 0.277868451003456306186350032923401233082L, |
| 0.280822662900887784639519758873134832073L, |
| 0.28376817313064459834690122235025476666L, |
| 0.286705032803954314653250930842073965668L, |
| 0.289633292583042676878893055525668970004L, |
| 0.292553002686377439978201258664126644308L, |
| 0.295464212893835876386681906054964195182L, |
| 0.298366972551797281464900430293496918012L, |
| 0.301261330578161781012875538233755492657L, |
| 0.304147335467296717015819874720446989991L, |
| 0.30702503529491186207512454053537790169L, |
| 0.309894477722864687861624550833227164546L, |
| 0.31275571000389688838624655968831903216L, |
| 0.315608778986303334901366180667483174144L, |
| 0.318453731118534615810247213590599595595L, |
| 0.321290612453734292057863145522557457887L, |
| 0.324119468654211976090670760434987352183L, |
| 0.326940344995853320592356894073809191681L, |
| 0.329753286372467981814422811920789810952L, |
| 0.332558337300076601412275626573419425269L, |
| 0.335355541921137830257179579814166199074L, |
| 0.338144944008716397710235913939267433111L, |
| 0.340926586970593210305089199780356208443L, |
| 0.34370051385331844468019789211029452987L, |
| 0.346466767346208580918462188425772950712L, |
| 0.349225389785288304181275421187371759687L, |
| 0.35197642315717818465544745625943892599L, |
| 0.354719909102929028355011218999317665826L, |
| 0.357455888921803774226009490140904474434L, |
| 0.360184403575007796281574967493016620926L, |
| 0.362905493689368453137824345977489846141L, |
| 0.365619199560964711319396875217046453067L, |
| 0.368325561158707653048230154050398826898L, |
| 0.371024618127872663911964910806824955394L, |
| 0.373716409793584080821016832715823506644L, |
| 0.376400975164253065997877633436251593315L, |
| 0.379078352934969458390853345631019858882L, |
| 0.38174858149084833985966626493567607862L, |
| 0.384411698910332039734790062481290868519L, |
| 0.387067742968448287898902502261817665695L, |
| 0.38971675114002521337046360400352086705L, |
| 0.392358760602863872479379611988215363485L, |
| 0.39499380824086897810639403636498176831L, |
| 0.397621930647138489104829072973405554918L, |
| 0.40024316412701270692932510199513117008L, |
| 0.402857544701083514655197565487057707577L, |
| 0.405465108108164381978013115464349136572L, |
| 0.408065889808221748430198682969084124381L, |
| 0.410659924985268385934306203175822787661L, |
| 0.41324724855021933092547601552548590025L, |
| 0.415827895143710965613328892954902305356L, |
| 0.418401899138883817510763261966760106515L, |
| 0.42096929464412963612886716150679597245L, |
| 0.423530115505803295718430478017910109426L, |
| 0.426084395310900063124544879595476618897L, |
| 0.428632167389698760206812276426639053152L, |
| 0.43117346481837134085917247895559499848L, |
| 0.433708320421559393435847903042186017095L, |
| 0.436236766774918070349041323061121300663L, |
| 0.438758836207627937745575058511446738878L, |
| 0.441274560804875229489496441661301225362L, |
| 0.443783972410300981171768440588146426918L, |
| 0.446287102628419511532590180619669006749L, |
| 0.448783982827006710512822115683937186274L, |
| 0.451274644139458585144692383079012478686L, |
| 0.453759117467120506644794794442263270651L, |
| 0.456237433481587594380805538163929748437L, |
| 0.458709622626976664843883309250877913511L, |
| 0.461175715122170166367999925597855358603L, |
| 0.463635740963032513092182277331163919118L, |
| 0.466089729924599224558619247504769399859L, |
| 0.468537711563239270375665237462973542708L, |
| 0.470979715218791012546897856056359251373L, |
| 0.473415770016672131372578393236978550606L, |
| 0.475845904869963914265209586304381412175L, |
| 0.478270148481470280383546145497464809096L, |
| 0.480688529345751907676618455448011551209L, |
| 0.48310107575113582273837458485214554795L, |
| 0.485507815781700807801791077190788900579L, |
| 0.487908777319238973246173184132656942487L, |
| 0.490303988045193838150346159645746860531L, |
| 0.492693475442575255695076950020077845328L, |
| 0.495077266797851514597964584842833665358L, |
| 0.497455389202818942250859256731684928918L, |
| 0.499827869556449329821331415247044141512L, |
| 0.502194734566715494273584171951812573586L, |
| 0.504556010752395287058308531738174929982L, |
| 0.506911724444854354113196312660089270034L, |
| 0.509261901789807946804074919228323824878L, |
| 0.51160656874906207851888487520338193135L, |
| 0.51394575110223431680100608827421759311L, |
| 0.51627947444845449617281928478756106467L, |
| 0.518607764208045632152976996364798698556L, |
| 0.520930645624185312409809834659637709188L, |
| 0.52324814376454783651680722493487084164L, |
| 0.525560283522927371382427602307131424923L, |
| 0.527867089620842385113892217778300963557L, |
| 0.530168586609121617841419630845212405063L, |
| 0.532464798869471843873923723460142242606L, |
| 0.534755750616027675477923292032637111077L, |
| 0.537041465896883654566729244153832299024L, |
| 0.539321968595608874655355158077341155752L, |
| 0.54159728243274437157654230390043409897L, |
| 0.543867430967283517663338989065998323965L, |
| 0.546132437598135650382397209231209163864L, |
| 0.548392325565573162748150286179863158565L, |
| 0.550647117952662279259948179204913460093L, |
| 0.552896837686677737580717902230624314327L, |
| 0.55514150754050159271548035951590405017L, |
| 0.557381150134006357049816540361233647898L, |
| 0.559615787935422686270888500526826593487L, |
| 0.561845443262691817915664819160697456814L, |
| 0.564070138284802966071384290090190711817L, |
| 0.566289895023115872590849979337124343595L, |
| 0.568504735352668712078738764866962263577L, |
| 0.5707146810034715448536245647415894503L, |
| 0.572919753561785509092756726626261068625L, |
| 0.575119974471387940421742546569273429365L, |
| 0.577315365034823604318112061519496401506L, |
| 0.579505946414642223855274409488070989814L, |
| 0.58169173963462248252061075372537234071L, |
| 0.583872765580982679097413356975291104927L, |
| 0.586049045003578208904119436287324349516L, |
| 0.588220598517086043034868221609113995052L, |
| 0.590387446602176374641916708123598757576L, |
| 0.59254960960667159874199020959329739696L, |
| 0.594707107746692789514343546529205333192L, |
| 0.59685996110779383658731192302565801002L, |
| 0.59900818964608339938160002446165150206L, |
| 0.601151813189334836191674317068856441547L, |
| 0.603290851438084262340585186661310605647L, |
| 0.6054253239667168894375677681414899356L, |
| 0.607555250224541795501085152791125371894L, |
| 0.609680649536855273481833501660588408785L, |
| 0.611801541105992903529889766428814783686L, |
| 0.613917944012370492196929119645563790777L, |
| 0.616029877215514019647565928196700650293L, |
| 0.618137359555078733872689126674816271683L, |
| 0.620240409751857528851494632567246856773L, |
| 0.62233904640877874159710264120869663505L, |
| 0.62443328801189350104253874405467311991L, |
| 0.626523152931352759778820859734204069282L, |
| 0.628608659422374137744308205774183639946L, |
| 0.6306898256261987050837261409313532241L, |
| 0.63276666957103782954578646850357975849L, |
| 0.634839209173010211969493840510489008123L, |
| 0.63690746223706923162049442718119919119L, |
| 0.63897144645792072137962398326473680873L, |
| 0.64103117942093129105560133440539254671L, |
| 0.643086678603027315392053859585132960477L, |
| 0.645137961373584701665228496134731905937L, |
| 0.647185044995309550122320631377863036675L, |
| 0.64922794662510981889083996990531112227L, |
| 0.651266683314958103396333353349672108398L, |
| 0.653301272012745638758615881210873884572L, |
| 0.65533172956312763209494967856962559648L, |
| 0.657358072708360030141890023245936165513L, |
| 0.659380318089127826115336413370955804038L, |
| 0.661398482245365008260235838709650938148L, |
| 0.66341258161706625109695030429080128179L, |
| 0.665422632545090448950092610006660181147L, |
| 0.667428651271956189947234166318980478403L, |
| 0.669430653942629267298885270929503510123L, |
| 0.67142865660530232331713904200189252584L, |
| 0.67342267521216672029796038880101726475L, |
| 0.67541272562017673108090414397019748722L, |
| 0.677398823591806140809682609997348298556L, |
| 0.67938098479579735014710062847376425181L, |
| 0.681359224807903068948071559568089441735L, |
| 0.683333559111620688164363148387750369654L, |
| 0.68530400309891941654404807896723298642L, |
| 0.687270572070960267497006884394346103924L, |
| 0.689233281238808980324914337814603903233L, |
| 0.691192145724141958859604629216309755938L, |
| 0.693147180559945309417232121458176568075L |
| }; |
| return logl_table[128 + (int)m] + 2.0L * atanh_z; |
| } |
| } |
| |
| #endif |
