12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697989910010110210310410510610710810911011111211311411511611711811912012112212312412512612712812913013113213313413513613713813914014114214314414514614714814915015115215315415515615715815916016116216316416516616716816917017117217317417517617717817918018118218318418518618718818919019119219319419519619719819920020120220320420520620720820921021121221321421521621721821922022122222322422522622722822923023123223323423523623723823924024124224324424524624724824925025125225325425525625725825926026126226326426526626726826927027127227327427527627727827928028128228328428528628728828929029129229329429529629729829930030130230330430530630730830931031131231331431531631731831932032132232332432532632732832933033133233333433533633733833934034134234334434534634734834935035135235335435535635735835936036136236336436536636736836937037137237337437537637737837938038138238338438538638738838939039139239339439539639739839940040140240340440540640740840941041141241341441541641741841942042142242342442542642742842943043143243343443543643743843944044144244344444544644744844945045145245345445545645745845946046146246346446546646746846947047147247347447547647747847948048148248348448548648748848949049149249349449549649749849950050150250350450550650750850951051151251351451551651751851952052152252352452552652752852953053153253353453553653753853954054154254354454554654754854955055155255355455555655755855956056156256356456556656756856957057157257357457557657757857958058158258358458558658758858959059159259359459559659759859960060160260360460560660760860961061161261361461561661761861962062162262362462562662762862963063163263363463563663763863964064164264364464564664764864965065165265365465565665765865966066166266366466566666766866967067167267367467567667767867968068168268368468568668768868969069169269369469569669769869970070170270370470570670770870971071171271371471571671771871972072172272372472572672772872973073173273373473573673773873974074174274374474574674774874975075175275375475575675775875976076176276376476576676776876977077177277377477577677777877978078178278378478578678778878979079179279379479579679779879980080180280380480580680780880981081181281381481581681781881982082182282382482582682782882983083183283383483583683783883984084184284384484584684784884985085185285385485585685785885986086186286386486586686786886987087187287387487587687787887988088188288388488588688788888989089189289389489589689789889990090190290390490590690790890991091191291391491591691791891992092192292392492592692792892993093193293393493593693793893994094194294394494594694794894995095195295395495595695795895996096196296396496596696796896997097197297397497597697797897998098198298398498598698798898999099199299399499599699799899910001001100210031004100510061007100810091010101110121013101410151016101710181019102010211022102310241025102610271028102910301031103210331034103510361037103810391040104110421043104410451046104710481049105010511052105310541055105610571058105910601061106210631064106510661067106810691070107110721073107410751076107710781079108010811082108310841085108610871088108910901091109210931094109510961097109810991100110111021103110411051106110711081109111011111112111311141115111611171118111911201121112211231124112511261127112811291130113111321133113411351136113711381139114011411142114311441145114611471148114911501151115211531154115511561157115811591160116111621163116411651166116711681169117011711172117311741175117611771178117911801181118211831184118511861187118811891190119111921193119411951196119711981199120012011202120312041205120612071208120912101211121212131214121512161217121812191220122112221223122412251226122712281229123012311232123312341235123612371238123912401241124212431244124512461247124812491250125112521253125412551256125712581259126012611262126312641265126612671268126912701271127212731274127512761277127812791280128112821283128412851286128712881289129012911292129312941295129612971298129913001301130213031304130513061307130813091310131113121313131413151316131713181319132013211322132313241325132613271328132913301331133213331334133513361337133813391340134113421343134413451346134713481349135013511352135313541355135613571358135913601361136213631364136513661367136813691370137113721373137413751376137713781379138013811382138313841385138613871388138913901391139213931394139513961397139813991400140114021403140414051406140714081409141014111412141314141415141614171418141914201421142214231424142514261427142814291430143114321433143414351436143714381439144014411442144314441445144614471448144914501451145214531454145514561457145814591460146114621463146414651466146714681469147014711472147314741475147614771478147914801481148214831484148514861487148814891490149114921493149414951496149714981499150015011502150315041505150615071508150915101511151215131514151515161517151815191520152115221523152415251526152715281529153015311532153315341535153615371538153915401541154215431544154515461547154815491550155115521553155415551556155715581559156015611562156315641565156615671568156915701571157215731574157515761577157815791580158115821583158415851586158715881589159015911592159315941595159615971598159916001601160216031604160516061607160816091610161116121613161416151616161716181619162016211622162316241625162616271628162916301631163216331634163516361637163816391640164116421643164416451646164716481649165016511652165316541655165616571658165916601661166216631664166516661667166816691670167116721673167416751676167716781679168016811682168316841685168616871688168916901691169216931694169516961697169816991700170117021703170417051706170717081709171017111712171317141715171617171718171917201721172217231724172517261727172817291730173117321733173417351736173717381739174017411742174317441745174617471748174917501751175217531754175517561757175817591760176117621763176417651766176717681769177017711772177317741775177617771778177917801781178217831784178517861787178817891790179117921793179417951796179717981799180018011802180318041805180618071808180918101811181218131814181518161817181818191820182118221823182418251826182718281829183018311832183318341835183618371838183918401841184218431844184518461847184818491850185118521853185418551856185718581859186018611862186318641865186618671868186918701871187218731874187518761877187818791880188118821883188418851886188718881889189018911892189318941895189618971898189919001901190219031904190519061907190819091910191119121913191419151916191719181919192019211922192319241925192619271928192919301931193219331934193519361937193819391940194119421943194419451946194719481949195019511952195319541955195619571958195919601961196219631964196519661967196819691970197119721973197419751976197719781979198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202220232024202520262027202820292030203120322033203420352036203720382039204020412042204320442045204620472048204920502051205220532054205520562057205820592060206120622063206420652066206720682069207020712072207320742075207620772078207920802081208220832084208520862087208820892090209120922093209420952096209720982099210021012102210321042105210621072108210921102111211221132114211521162117211821192120212121222123212421252126212721282129213021312132213321342135213621372138213921402141214221432144214521462147214821492150215121522153215421552156215721582159216021612162216321642165216621672168216921702171217221732174217521762177217821792180218121822183218421852186218721882189219021912192219321942195219621972198219922002201220222032204220522062207220822092210221122122213221422152216221722182219222022212222222322242225222622272228222922302231223222332234223522362237223822392240224122422243224422452246224722482249225022512252225322542255225622572258225922602261226222632264226522662267226822692270227122722273227422752276227722782279228022812282228322842285228622872288228922902291229222932294229522962297229822992300230123022303230423052306230723082309231023112312231323142315231623172318231923202321232223232324232523262327232823292330233123322333233423352336233723382339234023412342234323442345234623472348234923502351235223532354235523562357235823592360236123622363236423652366236723682369237023712372237323742375237623772378237923802381238223832384238523862387238823892390239123922393239423952396239723982399240024012402240324042405240624072408240924102411241224132414241524162417241824192420242124222423242424252426242724282429243024312432243324342435243624372438243924402441244224432444244524462447244824492450245124522453245424552456245724582459246024612462246324642465246624672468246924702471247224732474247524762477247824792480248124822483248424852486248724882489249024912492249324942495249624972498249925002501250225032504250525062507250825092510251125122513251425152516251725182519252025212522252325242525252625272528252925302531253225332534253525362537253825392540254125422543254425452546254725482549255025512552255325542555255625572558255925602561256225632564256525662567256825692570257125722573257425752576257725782579258025812582258325842585258625872588258925902591259225932594259525962597259825992600260126022603260426052606260726082609261026112612261326142615261626172618261926202621262226232624262526262627262826292630263126322633263426352636263726382639264026412642 |
- // SPDX-License-Identifier: GPL-2.0-or-later
- /*
- * Linux/PA-RISC Project (http://www.parisc-linux.org/)
- *
- * Floating-point emulation code
- * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <[email protected]>
- */
- /*
- * BEGIN_DESC
- *
- * File:
- * @(#) pa/spmath/fmpyfadd.c $Revision: 1.1 $
- *
- * Purpose:
- * Double Floating-point Multiply Fused Add
- * Double Floating-point Multiply Negate Fused Add
- * Single Floating-point Multiply Fused Add
- * Single Floating-point Multiply Negate Fused Add
- *
- * External Interfaces:
- * dbl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- * dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- * sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- * sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- *
- * Internal Interfaces:
- *
- * Theory:
- * <<please update with a overview of the operation of this file>>
- *
- * END_DESC
- */
- #include "float.h"
- #include "sgl_float.h"
- #include "dbl_float.h"
- /*
- * Double Floating-point Multiply Fused Add
- */
- int
- dbl_fmpyfadd(
- dbl_floating_point *src1ptr,
- dbl_floating_point *src2ptr,
- dbl_floating_point *src3ptr,
- unsigned int *status,
- dbl_floating_point *dstptr)
- {
- unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2;
- register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4;
- unsigned int rightp1, rightp2, rightp3, rightp4;
- unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0;
- register int mpy_exponent, add_exponent, count;
- boolean inexact = FALSE, is_tiny = FALSE;
- unsigned int signlessleft1, signlessright1, save;
- register int result_exponent, diff_exponent;
- int sign_save, jumpsize;
-
- Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2);
- Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2);
- Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2);
- /*
- * set sign bit of result of multiply
- */
- if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
- Dbl_setnegativezerop1(resultp1);
- else Dbl_setzerop1(resultp1);
- /*
- * Generate multiply exponent
- */
- mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS;
- /*
- * check first operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd1p1)) {
- if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
- if (Dbl_isnotnan(opnd2p1,opnd2p2) &&
- Dbl_isnotnan(opnd3p1,opnd3p2)) {
- if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
- /*
- * invalid since operands are infinity
- * and zero
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
- (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd1p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd1p1);
- }
- /*
- * is second operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd2p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd2p1);
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check second operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd2p1)) {
- if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
- if (Dbl_isnotnan(opnd3p1,opnd3p2)) {
- if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
- /*
- * invalid since multiply operands are
- * zero & infinity
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(opnd2p1,opnd2p2);
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
- (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd2p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd2p1);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check third operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd3p1)) {
- if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
- /* return infinity */
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- } else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * Generate multiply mantissa
- */
- if (Dbl_isnotzero_exponent(opnd1p1)) {
- /* set hidden bit */
- Dbl_clear_signexponent_set_hidden(opnd1p1);
- }
- else {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Dbl_or_signs(opnd3p1,resultp1);
- } else {
- Dbl_and_signs(opnd3p1,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Dbl_iszero_exponent(opnd3p1) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Dbl_signextendedsign(opnd3p1);
- result_exponent = 0;
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
- Dbl_set_sign(opnd3p1,/*using*/sign_save);
- Dbl_setwrapped_exponent(opnd3p1,result_exponent,
- unfl);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized, adjust exponent */
- Dbl_clear_signexponent(opnd1p1);
- Dbl_leftshiftby1(opnd1p1,opnd1p2);
- Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent);
- }
- /* opnd2 needs to have hidden bit set with msb in hidden bit */
- if (Dbl_isnotzero_exponent(opnd2p1)) {
- Dbl_clear_signexponent_set_hidden(opnd2p1);
- }
- else {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Dbl_or_signs(opnd3p1,resultp1);
- } else {
- Dbl_and_signs(opnd3p1,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Dbl_iszero_exponent(opnd3p1) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Dbl_signextendedsign(opnd3p1);
- result_exponent = 0;
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
- Dbl_set_sign(opnd3p1,/*using*/sign_save);
- Dbl_setwrapped_exponent(opnd3p1,result_exponent,
- unfl);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized; want to normalize */
- Dbl_clear_signexponent(opnd2p1);
- Dbl_leftshiftby1(opnd2p1,opnd2p2);
- Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent);
- }
- /* Multiply the first two source mantissas together */
- /*
- * The intermediate result will be kept in tmpres,
- * which needs enough room for 106 bits of mantissa,
- * so lets call it a Double extended.
- */
- Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- /*
- * Four bits at a time are inspected in each loop, and a
- * simple shift and add multiply algorithm is used.
- */
- for (count = DBL_P-1; count >= 0; count -= 4) {
- Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- if (Dbit28p2(opnd1p2)) {
- /* Fourword_add should be an ADD followed by 3 ADDC's */
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0);
- }
- if (Dbit29p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0);
- }
- if (Dbit30p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0);
- }
- if (Dbit31p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1, opnd2p2, 0, 0);
- }
- Dbl_rightshiftby4(opnd1p1,opnd1p2);
- }
- if (Is_dexthiddenoverflow(tmpresp1)) {
- /* result mantissa >= 2 (mantissa overflow) */
- mpy_exponent++;
- Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- }
- /*
- * Restore the sign of the mpy result which was saved in resultp1.
- * The exponent will continue to be kept in mpy_exponent.
- */
- Dblext_set_sign(tmpresp1,Dbl_sign(resultp1));
- /*
- * No rounding is required, since the result of the multiply
- * is exact in the extended format.
- */
- /*
- * Now we are ready to perform the add portion of the operation.
- *
- * The exponents need to be kept as integers for now, since the
- * multiply result might not fit into the exponent field. We
- * can't overflow or underflow because of this yet, since the
- * add could bring the final result back into range.
- */
- add_exponent = Dbl_exponent(opnd3p1);
- /*
- * Check for denormalized or zero add operand.
- */
- if (add_exponent == 0) {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
- /* right is zero */
- /* Left can't be zero and must be result.
- *
- * The final result is now in tmpres and mpy_exponent,
- * and needs to be rounded and squeezed back into
- * double precision format from double extended.
- */
- result_exponent = mpy_exponent;
- Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);/*save sign*/
- goto round;
- }
- /*
- * Neither are zeroes.
- * Adjust exponent and normalize add operand.
- */
- sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */
- Dbl_clear_signexponent(opnd3p1);
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,add_exponent);
- Dbl_set_sign(opnd3p1,sign_save); /* restore sign */
- } else {
- Dbl_clear_exponent_set_hidden(opnd3p1);
- }
- /*
- * Copy opnd3 to the double extended variable called right.
- */
- Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4);
- /*
- * A zero "save" helps discover equal operands (for later),
- * and is used in swapping operands (if needed).
- */
- Dblext_xortointp1(tmpresp1,rightp1,/*to*/save);
- /*
- * Compare magnitude of operands.
- */
- Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1);
- Dblext_copytoint_exponentmantissap1(rightp1,signlessright1);
- if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
- Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){
- /*
- * Set the left operand to the larger one by XOR swap.
- * First finish the first word "save".
- */
- Dblext_xorfromintp1(save,rightp1,/*to*/rightp1);
- Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
- Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4,
- rightp2,rightp3,rightp4);
- /* also setup exponents used in rest of routine */
- diff_exponent = add_exponent - mpy_exponent;
- result_exponent = add_exponent;
- } else {
- /* also setup exponents used in rest of routine */
- diff_exponent = mpy_exponent - add_exponent;
- result_exponent = mpy_exponent;
- }
- /* Invariant: left is not smaller than right. */
- /*
- * Special case alignment of operands that would force alignment
- * beyond the extent of the extension. A further optimization
- * could special case this but only reduces the path length for
- * this infrequent case.
- */
- if (diff_exponent > DBLEXT_THRESHOLD) {
- diff_exponent = DBLEXT_THRESHOLD;
- }
- /* Align right operand by shifting it to the right */
- Dblext_clear_sign(rightp1);
- Dblext_right_align(rightp1,rightp2,rightp3,rightp4,
- /*shifted by*/diff_exponent);
-
- /* Treat sum and difference of the operands separately. */
- if ((int)save < 0) {
- /*
- * Difference of the two operands. Overflow can occur if the
- * multiply overflowed. A borrow can occur out of the hidden
- * bit and force a post normalization phase.
- */
- Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- rightp1,rightp2,rightp3,rightp4,
- resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);
- if (Dbl_iszero_hidden(resultp1)) {
- /* Handle normalization */
- /* A straightforward algorithm would now shift the
- * result and extension left until the hidden bit
- * becomes one. Not all of the extension bits need
- * participate in the shift. Only the two most
- * significant bits (round and guard) are needed.
- * If only a single shift is needed then the guard
- * bit becomes a significant low order bit and the
- * extension must participate in the rounding.
- * If more than a single shift is needed, then all
- * bits to the right of the guard bit are zeros,
- * and the guard bit may or may not be zero. */
- Dblext_leftshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- /* Need to check for a zero result. The sign and
- * exponent fields have already been zeroed. The more
- * efficient test of the full object can be used.
- */
- if(Dblext_iszero(resultp1,resultp2,resultp3,resultp4)){
- /* Must have been "x-x" or "x+(-x)". */
- if (Is_rounding_mode(ROUNDMINUS))
- Dbl_setone_sign(resultp1);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- result_exponent--;
- /* Look to see if normalization is finished. */
- if (Dbl_isone_hidden(resultp1)) {
- /* No further normalization is needed */
- goto round;
- }
- /* Discover first one bit to determine shift amount.
- * Use a modified binary search. We have already
- * shifted the result one position right and still
- * not found a one so the remainder of the extension
- * must be zero and simplifies rounding. */
- /* Scan bytes */
- while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) {
- Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4);
- result_exponent -= 8;
- }
- /* Now narrow it down to the nibble */
- if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) {
- /* The lower nibble contains the
- * normalizing one */
- Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4);
- result_exponent -= 4;
- }
- /* Select case where first bit is set (already
- * normalized) otherwise select the proper shift. */
- jumpsize = Dbl_hiddenhigh3mantissa(resultp1);
- if (jumpsize <= 7) switch(jumpsize) {
- case 1:
- Dblext_leftshiftby3(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 3;
- break;
- case 2:
- case 3:
- Dblext_leftshiftby2(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 2;
- break;
- case 4:
- case 5:
- case 6:
- case 7:
- Dblext_leftshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 1;
- break;
- }
- } /* end if (hidden...)... */
- /* Fall through and round */
- } /* end if (save < 0)... */
- else {
- /* Add magnitudes */
- Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- rightp1,rightp2,rightp3,rightp4,
- /*to*/resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);
- if (Dbl_isone_hiddenoverflow(resultp1)) {
- /* Prenormalization required. */
- Dblext_arithrightshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent++;
- } /* end if hiddenoverflow... */
- } /* end else ...add magnitudes... */
- /* Round the result. If the extension and lower two words are
- * all zeros, then the result is exact. Otherwise round in the
- * correct direction. Underflow is possible. If a postnormalization
- * is necessary, then the mantissa is all zeros so no shift is needed.
- */
- round:
- if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
- Dblext_denormalize(resultp1,resultp2,resultp3,resultp4,
- result_exponent,is_tiny);
- }
- Dbl_set_sign(resultp1,/*using*/sign_save);
- if (Dblext_isnotzero_mantissap3(resultp3) ||
- Dblext_isnotzero_mantissap4(resultp4)) {
- inexact = TRUE;
- switch(Rounding_mode()) {
- case ROUNDNEAREST: /* The default. */
- if (Dblext_isone_highp3(resultp3)) {
- /* at least 1/2 ulp */
- if (Dblext_isnotzero_low31p3(resultp3) ||
- Dblext_isnotzero_mantissap4(resultp4) ||
- Dblext_isone_lowp2(resultp2)) {
- /* either exactly half way and odd or
- * more than 1/2ulp */
- Dbl_increment(resultp1,resultp2);
- }
- }
- break;
- case ROUNDPLUS:
- if (Dbl_iszero_sign(resultp1)) {
- /* Round up positive results */
- Dbl_increment(resultp1,resultp2);
- }
- break;
-
- case ROUNDMINUS:
- if (Dbl_isone_sign(resultp1)) {
- /* Round down negative results */
- Dbl_increment(resultp1,resultp2);
- }
-
- case ROUNDZERO:;
- /* truncate is simple */
- } /* end switch... */
- if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
- }
- if (result_exponent >= DBL_INFINITY_EXPONENT) {
- /* trap if OVERFLOWTRAP enabled */
- if (Is_overflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_OVERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return (OPC_2E_OVERFLOWEXCEPTION);
- }
- inexact = TRUE;
- Set_overflowflag();
- /* set result to infinity or largest number */
- Dbl_setoverflow(resultp1,resultp2);
- } else if (result_exponent <= 0) { /* underflow case */
- if (Is_underflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_UNDERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- else if (inexact && is_tiny) Set_underflowflag();
- }
- else Dbl_set_exponent(resultp1,result_exponent);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(NOEXCEPTION);
- }
- /*
- * Double Floating-point Multiply Negate Fused Add
- */
- dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- dbl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
- unsigned int *status;
- {
- unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2;
- register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4;
- unsigned int rightp1, rightp2, rightp3, rightp4;
- unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0;
- register int mpy_exponent, add_exponent, count;
- boolean inexact = FALSE, is_tiny = FALSE;
- unsigned int signlessleft1, signlessright1, save;
- register int result_exponent, diff_exponent;
- int sign_save, jumpsize;
-
- Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2);
- Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2);
- Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2);
- /*
- * set sign bit of result of multiply
- */
- if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
- Dbl_setzerop1(resultp1);
- else
- Dbl_setnegativezerop1(resultp1);
- /*
- * Generate multiply exponent
- */
- mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS;
- /*
- * check first operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd1p1)) {
- if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
- if (Dbl_isnotnan(opnd2p1,opnd2p2) &&
- Dbl_isnotnan(opnd3p1,opnd3p2)) {
- if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
- /*
- * invalid since operands are infinity
- * and zero
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
- (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd1p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd1p1);
- }
- /*
- * is second operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd2p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd2p1);
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check second operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd2p1)) {
- if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
- if (Dbl_isnotnan(opnd3p1,opnd3p2)) {
- if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
- /*
- * invalid since multiply operands are
- * zero & infinity
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(opnd2p1,opnd2p2);
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
- (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Dbl_makequietnan(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd2p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd2p1);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Dbl_is_signalingnan(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check third operand for NaN's or infinity
- */
- if (Dbl_isinfinity_exponent(opnd3p1)) {
- if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
- /* return infinity */
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- } else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Dbl_isone_signaling(opnd3p1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Dbl_set_quiet(opnd3p1);
- }
- /*
- * return quiet NaN
- */
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * Generate multiply mantissa
- */
- if (Dbl_isnotzero_exponent(opnd1p1)) {
- /* set hidden bit */
- Dbl_clear_signexponent_set_hidden(opnd1p1);
- }
- else {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Dbl_or_signs(opnd3p1,resultp1);
- } else {
- Dbl_and_signs(opnd3p1,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Dbl_iszero_exponent(opnd3p1) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Dbl_signextendedsign(opnd3p1);
- result_exponent = 0;
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
- Dbl_set_sign(opnd3p1,/*using*/sign_save);
- Dbl_setwrapped_exponent(opnd3p1,result_exponent,
- unfl);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized, adjust exponent */
- Dbl_clear_signexponent(opnd1p1);
- Dbl_leftshiftby1(opnd1p1,opnd1p2);
- Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent);
- }
- /* opnd2 needs to have hidden bit set with msb in hidden bit */
- if (Dbl_isnotzero_exponent(opnd2p1)) {
- Dbl_clear_signexponent_set_hidden(opnd2p1);
- }
- else {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Dbl_or_signs(opnd3p1,resultp1);
- } else {
- Dbl_and_signs(opnd3p1,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Dbl_iszero_exponent(opnd3p1) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Dbl_signextendedsign(opnd3p1);
- result_exponent = 0;
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
- Dbl_set_sign(opnd3p1,/*using*/sign_save);
- Dbl_setwrapped_exponent(opnd3p1,result_exponent,
- unfl);
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized; want to normalize */
- Dbl_clear_signexponent(opnd2p1);
- Dbl_leftshiftby1(opnd2p1,opnd2p2);
- Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent);
- }
- /* Multiply the first two source mantissas together */
- /*
- * The intermediate result will be kept in tmpres,
- * which needs enough room for 106 bits of mantissa,
- * so lets call it a Double extended.
- */
- Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- /*
- * Four bits at a time are inspected in each loop, and a
- * simple shift and add multiply algorithm is used.
- */
- for (count = DBL_P-1; count >= 0; count -= 4) {
- Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- if (Dbit28p2(opnd1p2)) {
- /* Fourword_add should be an ADD followed by 3 ADDC's */
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0);
- }
- if (Dbit29p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0);
- }
- if (Dbit30p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0);
- }
- if (Dbit31p2(opnd1p2)) {
- Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
- opnd2p1, opnd2p2, 0, 0);
- }
- Dbl_rightshiftby4(opnd1p1,opnd1p2);
- }
- if (Is_dexthiddenoverflow(tmpresp1)) {
- /* result mantissa >= 2 (mantissa overflow) */
- mpy_exponent++;
- Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
- }
- /*
- * Restore the sign of the mpy result which was saved in resultp1.
- * The exponent will continue to be kept in mpy_exponent.
- */
- Dblext_set_sign(tmpresp1,Dbl_sign(resultp1));
- /*
- * No rounding is required, since the result of the multiply
- * is exact in the extended format.
- */
- /*
- * Now we are ready to perform the add portion of the operation.
- *
- * The exponents need to be kept as integers for now, since the
- * multiply result might not fit into the exponent field. We
- * can't overflow or underflow because of this yet, since the
- * add could bring the final result back into range.
- */
- add_exponent = Dbl_exponent(opnd3p1);
- /*
- * Check for denormalized or zero add operand.
- */
- if (add_exponent == 0) {
- /* check for zero */
- if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
- /* right is zero */
- /* Left can't be zero and must be result.
- *
- * The final result is now in tmpres and mpy_exponent,
- * and needs to be rounded and squeezed back into
- * double precision format from double extended.
- */
- result_exponent = mpy_exponent;
- Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);/*save sign*/
- goto round;
- }
- /*
- * Neither are zeroes.
- * Adjust exponent and normalize add operand.
- */
- sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */
- Dbl_clear_signexponent(opnd3p1);
- Dbl_leftshiftby1(opnd3p1,opnd3p2);
- Dbl_normalize(opnd3p1,opnd3p2,add_exponent);
- Dbl_set_sign(opnd3p1,sign_save); /* restore sign */
- } else {
- Dbl_clear_exponent_set_hidden(opnd3p1);
- }
- /*
- * Copy opnd3 to the double extended variable called right.
- */
- Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4);
- /*
- * A zero "save" helps discover equal operands (for later),
- * and is used in swapping operands (if needed).
- */
- Dblext_xortointp1(tmpresp1,rightp1,/*to*/save);
- /*
- * Compare magnitude of operands.
- */
- Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1);
- Dblext_copytoint_exponentmantissap1(rightp1,signlessright1);
- if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
- Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){
- /*
- * Set the left operand to the larger one by XOR swap.
- * First finish the first word "save".
- */
- Dblext_xorfromintp1(save,rightp1,/*to*/rightp1);
- Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
- Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4,
- rightp2,rightp3,rightp4);
- /* also setup exponents used in rest of routine */
- diff_exponent = add_exponent - mpy_exponent;
- result_exponent = add_exponent;
- } else {
- /* also setup exponents used in rest of routine */
- diff_exponent = mpy_exponent - add_exponent;
- result_exponent = mpy_exponent;
- }
- /* Invariant: left is not smaller than right. */
- /*
- * Special case alignment of operands that would force alignment
- * beyond the extent of the extension. A further optimization
- * could special case this but only reduces the path length for
- * this infrequent case.
- */
- if (diff_exponent > DBLEXT_THRESHOLD) {
- diff_exponent = DBLEXT_THRESHOLD;
- }
- /* Align right operand by shifting it to the right */
- Dblext_clear_sign(rightp1);
- Dblext_right_align(rightp1,rightp2,rightp3,rightp4,
- /*shifted by*/diff_exponent);
-
- /* Treat sum and difference of the operands separately. */
- if ((int)save < 0) {
- /*
- * Difference of the two operands. Overflow can occur if the
- * multiply overflowed. A borrow can occur out of the hidden
- * bit and force a post normalization phase.
- */
- Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- rightp1,rightp2,rightp3,rightp4,
- resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);
- if (Dbl_iszero_hidden(resultp1)) {
- /* Handle normalization */
- /* A straightforward algorithm would now shift the
- * result and extension left until the hidden bit
- * becomes one. Not all of the extension bits need
- * participate in the shift. Only the two most
- * significant bits (round and guard) are needed.
- * If only a single shift is needed then the guard
- * bit becomes a significant low order bit and the
- * extension must participate in the rounding.
- * If more than a single shift is needed, then all
- * bits to the right of the guard bit are zeros,
- * and the guard bit may or may not be zero. */
- Dblext_leftshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- /* Need to check for a zero result. The sign and
- * exponent fields have already been zeroed. The more
- * efficient test of the full object can be used.
- */
- if (Dblext_iszero(resultp1,resultp2,resultp3,resultp4)) {
- /* Must have been "x-x" or "x+(-x)". */
- if (Is_rounding_mode(ROUNDMINUS))
- Dbl_setone_sign(resultp1);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- return(NOEXCEPTION);
- }
- result_exponent--;
- /* Look to see if normalization is finished. */
- if (Dbl_isone_hidden(resultp1)) {
- /* No further normalization is needed */
- goto round;
- }
- /* Discover first one bit to determine shift amount.
- * Use a modified binary search. We have already
- * shifted the result one position right and still
- * not found a one so the remainder of the extension
- * must be zero and simplifies rounding. */
- /* Scan bytes */
- while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) {
- Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4);
- result_exponent -= 8;
- }
- /* Now narrow it down to the nibble */
- if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) {
- /* The lower nibble contains the
- * normalizing one */
- Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4);
- result_exponent -= 4;
- }
- /* Select case where first bit is set (already
- * normalized) otherwise select the proper shift. */
- jumpsize = Dbl_hiddenhigh3mantissa(resultp1);
- if (jumpsize <= 7) switch(jumpsize) {
- case 1:
- Dblext_leftshiftby3(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 3;
- break;
- case 2:
- case 3:
- Dblext_leftshiftby2(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 2;
- break;
- case 4:
- case 5:
- case 6:
- case 7:
- Dblext_leftshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent -= 1;
- break;
- }
- } /* end if (hidden...)... */
- /* Fall through and round */
- } /* end if (save < 0)... */
- else {
- /* Add magnitudes */
- Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
- rightp1,rightp2,rightp3,rightp4,
- /*to*/resultp1,resultp2,resultp3,resultp4);
- sign_save = Dbl_signextendedsign(resultp1);
- if (Dbl_isone_hiddenoverflow(resultp1)) {
- /* Prenormalization required. */
- Dblext_arithrightshiftby1(resultp1,resultp2,resultp3,
- resultp4);
- result_exponent++;
- } /* end if hiddenoverflow... */
- } /* end else ...add magnitudes... */
- /* Round the result. If the extension and lower two words are
- * all zeros, then the result is exact. Otherwise round in the
- * correct direction. Underflow is possible. If a postnormalization
- * is necessary, then the mantissa is all zeros so no shift is needed.
- */
- round:
- if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
- Dblext_denormalize(resultp1,resultp2,resultp3,resultp4,
- result_exponent,is_tiny);
- }
- Dbl_set_sign(resultp1,/*using*/sign_save);
- if (Dblext_isnotzero_mantissap3(resultp3) ||
- Dblext_isnotzero_mantissap4(resultp4)) {
- inexact = TRUE;
- switch(Rounding_mode()) {
- case ROUNDNEAREST: /* The default. */
- if (Dblext_isone_highp3(resultp3)) {
- /* at least 1/2 ulp */
- if (Dblext_isnotzero_low31p3(resultp3) ||
- Dblext_isnotzero_mantissap4(resultp4) ||
- Dblext_isone_lowp2(resultp2)) {
- /* either exactly half way and odd or
- * more than 1/2ulp */
- Dbl_increment(resultp1,resultp2);
- }
- }
- break;
- case ROUNDPLUS:
- if (Dbl_iszero_sign(resultp1)) {
- /* Round up positive results */
- Dbl_increment(resultp1,resultp2);
- }
- break;
-
- case ROUNDMINUS:
- if (Dbl_isone_sign(resultp1)) {
- /* Round down negative results */
- Dbl_increment(resultp1,resultp2);
- }
-
- case ROUNDZERO:;
- /* truncate is simple */
- } /* end switch... */
- if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
- }
- if (result_exponent >= DBL_INFINITY_EXPONENT) {
- /* Overflow */
- if (Is_overflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_OVERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return (OPC_2E_OVERFLOWEXCEPTION);
- }
- inexact = TRUE;
- Set_overflowflag();
- Dbl_setoverflow(resultp1,resultp2);
- } else if (result_exponent <= 0) { /* underflow case */
- if (Is_underflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_UNDERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- else if (inexact && is_tiny) Set_underflowflag();
- }
- else Dbl_set_exponent(resultp1,result_exponent);
- Dbl_copytoptr(resultp1,resultp2,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(NOEXCEPTION);
- }
- /*
- * Single Floating-point Multiply Fused Add
- */
- sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
- unsigned int *status;
- {
- unsigned int opnd1, opnd2, opnd3;
- register unsigned int tmpresp1, tmpresp2;
- unsigned int rightp1, rightp2;
- unsigned int resultp1, resultp2 = 0;
- register int mpy_exponent, add_exponent, count;
- boolean inexact = FALSE, is_tiny = FALSE;
- unsigned int signlessleft1, signlessright1, save;
- register int result_exponent, diff_exponent;
- int sign_save, jumpsize;
-
- Sgl_copyfromptr(src1ptr,opnd1);
- Sgl_copyfromptr(src2ptr,opnd2);
- Sgl_copyfromptr(src3ptr,opnd3);
- /*
- * set sign bit of result of multiply
- */
- if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2))
- Sgl_setnegativezero(resultp1);
- else Sgl_setzero(resultp1);
- /*
- * Generate multiply exponent
- */
- mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
- /*
- * check first operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd1)) {
- if (Sgl_iszero_mantissa(opnd1)) {
- if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) {
- if (Sgl_iszero_exponentmantissa(opnd2)) {
- /*
- * invalid since operands are infinity
- * and zero
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Sgl_isinfinity(opnd3) &&
- (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Sgl_setinfinity_exponentmantissa(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd1);
- }
- /*
- * is second operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd2)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd2);
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd1,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check second operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd2)) {
- if (Sgl_iszero_mantissa(opnd2)) {
- if (Sgl_isnotnan(opnd3)) {
- if (Sgl_iszero_exponentmantissa(opnd1)) {
- /*
- * invalid since multiply operands are
- * zero & infinity
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(opnd2);
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Sgl_isinfinity(opnd3) &&
- (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Sgl_setinfinity_exponentmantissa(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd2)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd2);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check third operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd3)) {
- if (Sgl_iszero_mantissa(opnd3)) {
- /* return infinity */
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- } else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * Generate multiply mantissa
- */
- if (Sgl_isnotzero_exponent(opnd1)) {
- /* set hidden bit */
- Sgl_clear_signexponent_set_hidden(opnd1);
- }
- else {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd1)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Sgl_iszero_exponentmantissa(opnd3)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Sgl_or_signs(opnd3,resultp1);
- } else {
- Sgl_and_signs(opnd3,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Sgl_iszero_exponent(opnd3) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Sgl_signextendedsign(opnd3);
- result_exponent = 0;
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,result_exponent);
- Sgl_set_sign(opnd3,/*using*/sign_save);
- Sgl_setwrapped_exponent(opnd3,result_exponent,
- unfl);
- Sgl_copytoptr(opnd3,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized, adjust exponent */
- Sgl_clear_signexponent(opnd1);
- Sgl_leftshiftby1(opnd1);
- Sgl_normalize(opnd1,mpy_exponent);
- }
- /* opnd2 needs to have hidden bit set with msb in hidden bit */
- if (Sgl_isnotzero_exponent(opnd2)) {
- Sgl_clear_signexponent_set_hidden(opnd2);
- }
- else {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Sgl_iszero_exponentmantissa(opnd3)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Sgl_or_signs(opnd3,resultp1);
- } else {
- Sgl_and_signs(opnd3,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Sgl_iszero_exponent(opnd3) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Sgl_signextendedsign(opnd3);
- result_exponent = 0;
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,result_exponent);
- Sgl_set_sign(opnd3,/*using*/sign_save);
- Sgl_setwrapped_exponent(opnd3,result_exponent,
- unfl);
- Sgl_copytoptr(opnd3,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized; want to normalize */
- Sgl_clear_signexponent(opnd2);
- Sgl_leftshiftby1(opnd2);
- Sgl_normalize(opnd2,mpy_exponent);
- }
- /* Multiply the first two source mantissas together */
- /*
- * The intermediate result will be kept in tmpres,
- * which needs enough room for 106 bits of mantissa,
- * so lets call it a Double extended.
- */
- Sglext_setzero(tmpresp1,tmpresp2);
- /*
- * Four bits at a time are inspected in each loop, and a
- * simple shift and add multiply algorithm is used.
- */
- for (count = SGL_P-1; count >= 0; count -= 4) {
- Sglext_rightshiftby4(tmpresp1,tmpresp2);
- if (Sbit28(opnd1)) {
- /* Twoword_add should be an ADD followed by 2 ADDC's */
- Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0);
- }
- if (Sbit29(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0);
- }
- if (Sbit30(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0);
- }
- if (Sbit31(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2, 0);
- }
- Sgl_rightshiftby4(opnd1);
- }
- if (Is_sexthiddenoverflow(tmpresp1)) {
- /* result mantissa >= 2 (mantissa overflow) */
- mpy_exponent++;
- Sglext_rightshiftby4(tmpresp1,tmpresp2);
- } else {
- Sglext_rightshiftby3(tmpresp1,tmpresp2);
- }
- /*
- * Restore the sign of the mpy result which was saved in resultp1.
- * The exponent will continue to be kept in mpy_exponent.
- */
- Sglext_set_sign(tmpresp1,Sgl_sign(resultp1));
- /*
- * No rounding is required, since the result of the multiply
- * is exact in the extended format.
- */
- /*
- * Now we are ready to perform the add portion of the operation.
- *
- * The exponents need to be kept as integers for now, since the
- * multiply result might not fit into the exponent field. We
- * can't overflow or underflow because of this yet, since the
- * add could bring the final result back into range.
- */
- add_exponent = Sgl_exponent(opnd3);
- /*
- * Check for denormalized or zero add operand.
- */
- if (add_exponent == 0) {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd3)) {
- /* right is zero */
- /* Left can't be zero and must be result.
- *
- * The final result is now in tmpres and mpy_exponent,
- * and needs to be rounded and squeezed back into
- * double precision format from double extended.
- */
- result_exponent = mpy_exponent;
- Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);/*save sign*/
- goto round;
- }
- /*
- * Neither are zeroes.
- * Adjust exponent and normalize add operand.
- */
- sign_save = Sgl_signextendedsign(opnd3); /* save sign */
- Sgl_clear_signexponent(opnd3);
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,add_exponent);
- Sgl_set_sign(opnd3,sign_save); /* restore sign */
- } else {
- Sgl_clear_exponent_set_hidden(opnd3);
- }
- /*
- * Copy opnd3 to the double extended variable called right.
- */
- Sgl_copyto_sglext(opnd3,rightp1,rightp2);
- /*
- * A zero "save" helps discover equal operands (for later),
- * and is used in swapping operands (if needed).
- */
- Sglext_xortointp1(tmpresp1,rightp1,/*to*/save);
- /*
- * Compare magnitude of operands.
- */
- Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1);
- Sglext_copytoint_exponentmantissa(rightp1,signlessright1);
- if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
- Sglext_ismagnitudeless(signlessleft1,signlessright1)) {
- /*
- * Set the left operand to the larger one by XOR swap.
- * First finish the first word "save".
- */
- Sglext_xorfromintp1(save,rightp1,/*to*/rightp1);
- Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
- Sglext_swap_lower(tmpresp2,rightp2);
- /* also setup exponents used in rest of routine */
- diff_exponent = add_exponent - mpy_exponent;
- result_exponent = add_exponent;
- } else {
- /* also setup exponents used in rest of routine */
- diff_exponent = mpy_exponent - add_exponent;
- result_exponent = mpy_exponent;
- }
- /* Invariant: left is not smaller than right. */
- /*
- * Special case alignment of operands that would force alignment
- * beyond the extent of the extension. A further optimization
- * could special case this but only reduces the path length for
- * this infrequent case.
- */
- if (diff_exponent > SGLEXT_THRESHOLD) {
- diff_exponent = SGLEXT_THRESHOLD;
- }
- /* Align right operand by shifting it to the right */
- Sglext_clear_sign(rightp1);
- Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent);
-
- /* Treat sum and difference of the operands separately. */
- if ((int)save < 0) {
- /*
- * Difference of the two operands. Overflow can occur if the
- * multiply overflowed. A borrow can occur out of the hidden
- * bit and force a post normalization phase.
- */
- Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2,
- resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);
- if (Sgl_iszero_hidden(resultp1)) {
- /* Handle normalization */
- /* A straightforward algorithm would now shift the
- * result and extension left until the hidden bit
- * becomes one. Not all of the extension bits need
- * participate in the shift. Only the two most
- * significant bits (round and guard) are needed.
- * If only a single shift is needed then the guard
- * bit becomes a significant low order bit and the
- * extension must participate in the rounding.
- * If more than a single shift is needed, then all
- * bits to the right of the guard bit are zeros,
- * and the guard bit may or may not be zero. */
- Sglext_leftshiftby1(resultp1,resultp2);
- /* Need to check for a zero result. The sign and
- * exponent fields have already been zeroed. The more
- * efficient test of the full object can be used.
- */
- if (Sglext_iszero(resultp1,resultp2)) {
- /* Must have been "x-x" or "x+(-x)". */
- if (Is_rounding_mode(ROUNDMINUS))
- Sgl_setone_sign(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- result_exponent--;
- /* Look to see if normalization is finished. */
- if (Sgl_isone_hidden(resultp1)) {
- /* No further normalization is needed */
- goto round;
- }
- /* Discover first one bit to determine shift amount.
- * Use a modified binary search. We have already
- * shifted the result one position right and still
- * not found a one so the remainder of the extension
- * must be zero and simplifies rounding. */
- /* Scan bytes */
- while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) {
- Sglext_leftshiftby8(resultp1,resultp2);
- result_exponent -= 8;
- }
- /* Now narrow it down to the nibble */
- if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) {
- /* The lower nibble contains the
- * normalizing one */
- Sglext_leftshiftby4(resultp1,resultp2);
- result_exponent -= 4;
- }
- /* Select case where first bit is set (already
- * normalized) otherwise select the proper shift. */
- jumpsize = Sgl_hiddenhigh3mantissa(resultp1);
- if (jumpsize <= 7) switch(jumpsize) {
- case 1:
- Sglext_leftshiftby3(resultp1,resultp2);
- result_exponent -= 3;
- break;
- case 2:
- case 3:
- Sglext_leftshiftby2(resultp1,resultp2);
- result_exponent -= 2;
- break;
- case 4:
- case 5:
- case 6:
- case 7:
- Sglext_leftshiftby1(resultp1,resultp2);
- result_exponent -= 1;
- break;
- }
- } /* end if (hidden...)... */
- /* Fall through and round */
- } /* end if (save < 0)... */
- else {
- /* Add magnitudes */
- Sglext_addition(tmpresp1,tmpresp2,
- rightp1,rightp2, /*to*/resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);
- if (Sgl_isone_hiddenoverflow(resultp1)) {
- /* Prenormalization required. */
- Sglext_arithrightshiftby1(resultp1,resultp2);
- result_exponent++;
- } /* end if hiddenoverflow... */
- } /* end else ...add magnitudes... */
- /* Round the result. If the extension and lower two words are
- * all zeros, then the result is exact. Otherwise round in the
- * correct direction. Underflow is possible. If a postnormalization
- * is necessary, then the mantissa is all zeros so no shift is needed.
- */
- round:
- if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
- Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny);
- }
- Sgl_set_sign(resultp1,/*using*/sign_save);
- if (Sglext_isnotzero_mantissap2(resultp2)) {
- inexact = TRUE;
- switch(Rounding_mode()) {
- case ROUNDNEAREST: /* The default. */
- if (Sglext_isone_highp2(resultp2)) {
- /* at least 1/2 ulp */
- if (Sglext_isnotzero_low31p2(resultp2) ||
- Sglext_isone_lowp1(resultp1)) {
- /* either exactly half way and odd or
- * more than 1/2ulp */
- Sgl_increment(resultp1);
- }
- }
- break;
- case ROUNDPLUS:
- if (Sgl_iszero_sign(resultp1)) {
- /* Round up positive results */
- Sgl_increment(resultp1);
- }
- break;
-
- case ROUNDMINUS:
- if (Sgl_isone_sign(resultp1)) {
- /* Round down negative results */
- Sgl_increment(resultp1);
- }
-
- case ROUNDZERO:;
- /* truncate is simple */
- } /* end switch... */
- if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++;
- }
- if (result_exponent >= SGL_INFINITY_EXPONENT) {
- /* Overflow */
- if (Is_overflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_OVERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return (OPC_2E_OVERFLOWEXCEPTION);
- }
- inexact = TRUE;
- Set_overflowflag();
- Sgl_setoverflow(resultp1);
- } else if (result_exponent <= 0) { /* underflow case */
- if (Is_underflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Sgl_setwrapped_exponent(resultp1,result_exponent,unfl);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_UNDERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- else if (inexact && is_tiny) Set_underflowflag();
- }
- else Sgl_set_exponent(resultp1,result_exponent);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(NOEXCEPTION);
- }
- /*
- * Single Floating-point Multiply Negate Fused Add
- */
- sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
- sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
- unsigned int *status;
- {
- unsigned int opnd1, opnd2, opnd3;
- register unsigned int tmpresp1, tmpresp2;
- unsigned int rightp1, rightp2;
- unsigned int resultp1, resultp2 = 0;
- register int mpy_exponent, add_exponent, count;
- boolean inexact = FALSE, is_tiny = FALSE;
- unsigned int signlessleft1, signlessright1, save;
- register int result_exponent, diff_exponent;
- int sign_save, jumpsize;
-
- Sgl_copyfromptr(src1ptr,opnd1);
- Sgl_copyfromptr(src2ptr,opnd2);
- Sgl_copyfromptr(src3ptr,opnd3);
- /*
- * set sign bit of result of multiply
- */
- if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2))
- Sgl_setzero(resultp1);
- else
- Sgl_setnegativezero(resultp1);
- /*
- * Generate multiply exponent
- */
- mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
- /*
- * check first operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd1)) {
- if (Sgl_iszero_mantissa(opnd1)) {
- if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) {
- if (Sgl_iszero_exponentmantissa(opnd2)) {
- /*
- * invalid since operands are infinity
- * and zero
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Sgl_isinfinity(opnd3) &&
- (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Sgl_setinfinity_exponentmantissa(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd1)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd1);
- }
- /*
- * is second operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd2)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd2);
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd1,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check second operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd2)) {
- if (Sgl_iszero_mantissa(opnd2)) {
- if (Sgl_isnotnan(opnd3)) {
- if (Sgl_iszero_exponentmantissa(opnd1)) {
- /*
- * invalid since multiply operands are
- * zero & infinity
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(opnd2);
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * Check third operand for infinity with a
- * sign opposite of the multiply result
- */
- if (Sgl_isinfinity(opnd3) &&
- (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
- /*
- * invalid since attempting a magnitude
- * subtraction of infinities
- */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- Set_invalidflag();
- Sgl_makequietnan(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return infinity
- */
- Sgl_setinfinity_exponentmantissa(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- }
- else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd2)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd2);
- }
- /*
- * is third operand a signaling NaN?
- */
- else if (Sgl_is_signalingnan(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd2,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * check third operand for NaN's or infinity
- */
- if (Sgl_isinfinity_exponent(opnd3)) {
- if (Sgl_iszero_mantissa(opnd3)) {
- /* return infinity */
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- } else {
- /*
- * is NaN; signaling or quiet?
- */
- if (Sgl_isone_signaling(opnd3)) {
- /* trap if INVALIDTRAP enabled */
- if (Is_invalidtrap_enabled())
- return(OPC_2E_INVALIDEXCEPTION);
- /* make NaN quiet */
- Set_invalidflag();
- Sgl_set_quiet(opnd3);
- }
- /*
- * return quiet NaN
- */
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- }
- /*
- * Generate multiply mantissa
- */
- if (Sgl_isnotzero_exponent(opnd1)) {
- /* set hidden bit */
- Sgl_clear_signexponent_set_hidden(opnd1);
- }
- else {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd1)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Sgl_iszero_exponentmantissa(opnd3)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Sgl_or_signs(opnd3,resultp1);
- } else {
- Sgl_and_signs(opnd3,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Sgl_iszero_exponent(opnd3) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Sgl_signextendedsign(opnd3);
- result_exponent = 0;
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,result_exponent);
- Sgl_set_sign(opnd3,/*using*/sign_save);
- Sgl_setwrapped_exponent(opnd3,result_exponent,
- unfl);
- Sgl_copytoptr(opnd3,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized, adjust exponent */
- Sgl_clear_signexponent(opnd1);
- Sgl_leftshiftby1(opnd1);
- Sgl_normalize(opnd1,mpy_exponent);
- }
- /* opnd2 needs to have hidden bit set with msb in hidden bit */
- if (Sgl_isnotzero_exponent(opnd2)) {
- Sgl_clear_signexponent_set_hidden(opnd2);
- }
- else {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd2)) {
- /*
- * Perform the add opnd3 with zero here.
- */
- if (Sgl_iszero_exponentmantissa(opnd3)) {
- if (Is_rounding_mode(ROUNDMINUS)) {
- Sgl_or_signs(opnd3,resultp1);
- } else {
- Sgl_and_signs(opnd3,resultp1);
- }
- }
- /*
- * Now let's check for trapped underflow case.
- */
- else if (Sgl_iszero_exponent(opnd3) &&
- Is_underflowtrap_enabled()) {
- /* need to normalize results mantissa */
- sign_save = Sgl_signextendedsign(opnd3);
- result_exponent = 0;
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,result_exponent);
- Sgl_set_sign(opnd3,/*using*/sign_save);
- Sgl_setwrapped_exponent(opnd3,result_exponent,
- unfl);
- Sgl_copytoptr(opnd3,dstptr);
- /* inexact = FALSE */
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- Sgl_copytoptr(opnd3,dstptr);
- return(NOEXCEPTION);
- }
- /* is denormalized; want to normalize */
- Sgl_clear_signexponent(opnd2);
- Sgl_leftshiftby1(opnd2);
- Sgl_normalize(opnd2,mpy_exponent);
- }
- /* Multiply the first two source mantissas together */
- /*
- * The intermediate result will be kept in tmpres,
- * which needs enough room for 106 bits of mantissa,
- * so lets call it a Double extended.
- */
- Sglext_setzero(tmpresp1,tmpresp2);
- /*
- * Four bits at a time are inspected in each loop, and a
- * simple shift and add multiply algorithm is used.
- */
- for (count = SGL_P-1; count >= 0; count -= 4) {
- Sglext_rightshiftby4(tmpresp1,tmpresp2);
- if (Sbit28(opnd1)) {
- /* Twoword_add should be an ADD followed by 2 ADDC's */
- Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0);
- }
- if (Sbit29(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0);
- }
- if (Sbit30(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0);
- }
- if (Sbit31(opnd1)) {
- Twoword_add(tmpresp1, tmpresp2, opnd2, 0);
- }
- Sgl_rightshiftby4(opnd1);
- }
- if (Is_sexthiddenoverflow(tmpresp1)) {
- /* result mantissa >= 2 (mantissa overflow) */
- mpy_exponent++;
- Sglext_rightshiftby4(tmpresp1,tmpresp2);
- } else {
- Sglext_rightshiftby3(tmpresp1,tmpresp2);
- }
- /*
- * Restore the sign of the mpy result which was saved in resultp1.
- * The exponent will continue to be kept in mpy_exponent.
- */
- Sglext_set_sign(tmpresp1,Sgl_sign(resultp1));
- /*
- * No rounding is required, since the result of the multiply
- * is exact in the extended format.
- */
- /*
- * Now we are ready to perform the add portion of the operation.
- *
- * The exponents need to be kept as integers for now, since the
- * multiply result might not fit into the exponent field. We
- * can't overflow or underflow because of this yet, since the
- * add could bring the final result back into range.
- */
- add_exponent = Sgl_exponent(opnd3);
- /*
- * Check for denormalized or zero add operand.
- */
- if (add_exponent == 0) {
- /* check for zero */
- if (Sgl_iszero_mantissa(opnd3)) {
- /* right is zero */
- /* Left can't be zero and must be result.
- *
- * The final result is now in tmpres and mpy_exponent,
- * and needs to be rounded and squeezed back into
- * double precision format from double extended.
- */
- result_exponent = mpy_exponent;
- Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);/*save sign*/
- goto round;
- }
- /*
- * Neither are zeroes.
- * Adjust exponent and normalize add operand.
- */
- sign_save = Sgl_signextendedsign(opnd3); /* save sign */
- Sgl_clear_signexponent(opnd3);
- Sgl_leftshiftby1(opnd3);
- Sgl_normalize(opnd3,add_exponent);
- Sgl_set_sign(opnd3,sign_save); /* restore sign */
- } else {
- Sgl_clear_exponent_set_hidden(opnd3);
- }
- /*
- * Copy opnd3 to the double extended variable called right.
- */
- Sgl_copyto_sglext(opnd3,rightp1,rightp2);
- /*
- * A zero "save" helps discover equal operands (for later),
- * and is used in swapping operands (if needed).
- */
- Sglext_xortointp1(tmpresp1,rightp1,/*to*/save);
- /*
- * Compare magnitude of operands.
- */
- Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1);
- Sglext_copytoint_exponentmantissa(rightp1,signlessright1);
- if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
- Sglext_ismagnitudeless(signlessleft1,signlessright1)) {
- /*
- * Set the left operand to the larger one by XOR swap.
- * First finish the first word "save".
- */
- Sglext_xorfromintp1(save,rightp1,/*to*/rightp1);
- Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
- Sglext_swap_lower(tmpresp2,rightp2);
- /* also setup exponents used in rest of routine */
- diff_exponent = add_exponent - mpy_exponent;
- result_exponent = add_exponent;
- } else {
- /* also setup exponents used in rest of routine */
- diff_exponent = mpy_exponent - add_exponent;
- result_exponent = mpy_exponent;
- }
- /* Invariant: left is not smaller than right. */
- /*
- * Special case alignment of operands that would force alignment
- * beyond the extent of the extension. A further optimization
- * could special case this but only reduces the path length for
- * this infrequent case.
- */
- if (diff_exponent > SGLEXT_THRESHOLD) {
- diff_exponent = SGLEXT_THRESHOLD;
- }
- /* Align right operand by shifting it to the right */
- Sglext_clear_sign(rightp1);
- Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent);
-
- /* Treat sum and difference of the operands separately. */
- if ((int)save < 0) {
- /*
- * Difference of the two operands. Overflow can occur if the
- * multiply overflowed. A borrow can occur out of the hidden
- * bit and force a post normalization phase.
- */
- Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2,
- resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);
- if (Sgl_iszero_hidden(resultp1)) {
- /* Handle normalization */
- /* A straightforward algorithm would now shift the
- * result and extension left until the hidden bit
- * becomes one. Not all of the extension bits need
- * participate in the shift. Only the two most
- * significant bits (round and guard) are needed.
- * If only a single shift is needed then the guard
- * bit becomes a significant low order bit and the
- * extension must participate in the rounding.
- * If more than a single shift is needed, then all
- * bits to the right of the guard bit are zeros,
- * and the guard bit may or may not be zero. */
- Sglext_leftshiftby1(resultp1,resultp2);
- /* Need to check for a zero result. The sign and
- * exponent fields have already been zeroed. The more
- * efficient test of the full object can be used.
- */
- if (Sglext_iszero(resultp1,resultp2)) {
- /* Must have been "x-x" or "x+(-x)". */
- if (Is_rounding_mode(ROUNDMINUS))
- Sgl_setone_sign(resultp1);
- Sgl_copytoptr(resultp1,dstptr);
- return(NOEXCEPTION);
- }
- result_exponent--;
- /* Look to see if normalization is finished. */
- if (Sgl_isone_hidden(resultp1)) {
- /* No further normalization is needed */
- goto round;
- }
- /* Discover first one bit to determine shift amount.
- * Use a modified binary search. We have already
- * shifted the result one position right and still
- * not found a one so the remainder of the extension
- * must be zero and simplifies rounding. */
- /* Scan bytes */
- while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) {
- Sglext_leftshiftby8(resultp1,resultp2);
- result_exponent -= 8;
- }
- /* Now narrow it down to the nibble */
- if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) {
- /* The lower nibble contains the
- * normalizing one */
- Sglext_leftshiftby4(resultp1,resultp2);
- result_exponent -= 4;
- }
- /* Select case where first bit is set (already
- * normalized) otherwise select the proper shift. */
- jumpsize = Sgl_hiddenhigh3mantissa(resultp1);
- if (jumpsize <= 7) switch(jumpsize) {
- case 1:
- Sglext_leftshiftby3(resultp1,resultp2);
- result_exponent -= 3;
- break;
- case 2:
- case 3:
- Sglext_leftshiftby2(resultp1,resultp2);
- result_exponent -= 2;
- break;
- case 4:
- case 5:
- case 6:
- case 7:
- Sglext_leftshiftby1(resultp1,resultp2);
- result_exponent -= 1;
- break;
- }
- } /* end if (hidden...)... */
- /* Fall through and round */
- } /* end if (save < 0)... */
- else {
- /* Add magnitudes */
- Sglext_addition(tmpresp1,tmpresp2,
- rightp1,rightp2, /*to*/resultp1,resultp2);
- sign_save = Sgl_signextendedsign(resultp1);
- if (Sgl_isone_hiddenoverflow(resultp1)) {
- /* Prenormalization required. */
- Sglext_arithrightshiftby1(resultp1,resultp2);
- result_exponent++;
- } /* end if hiddenoverflow... */
- } /* end else ...add magnitudes... */
- /* Round the result. If the extension and lower two words are
- * all zeros, then the result is exact. Otherwise round in the
- * correct direction. Underflow is possible. If a postnormalization
- * is necessary, then the mantissa is all zeros so no shift is needed.
- */
- round:
- if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
- Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny);
- }
- Sgl_set_sign(resultp1,/*using*/sign_save);
- if (Sglext_isnotzero_mantissap2(resultp2)) {
- inexact = TRUE;
- switch(Rounding_mode()) {
- case ROUNDNEAREST: /* The default. */
- if (Sglext_isone_highp2(resultp2)) {
- /* at least 1/2 ulp */
- if (Sglext_isnotzero_low31p2(resultp2) ||
- Sglext_isone_lowp1(resultp1)) {
- /* either exactly half way and odd or
- * more than 1/2ulp */
- Sgl_increment(resultp1);
- }
- }
- break;
- case ROUNDPLUS:
- if (Sgl_iszero_sign(resultp1)) {
- /* Round up positive results */
- Sgl_increment(resultp1);
- }
- break;
-
- case ROUNDMINUS:
- if (Sgl_isone_sign(resultp1)) {
- /* Round down negative results */
- Sgl_increment(resultp1);
- }
-
- case ROUNDZERO:;
- /* truncate is simple */
- } /* end switch... */
- if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++;
- }
- if (result_exponent >= SGL_INFINITY_EXPONENT) {
- /* Overflow */
- if (Is_overflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_OVERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return (OPC_2E_OVERFLOWEXCEPTION);
- }
- inexact = TRUE;
- Set_overflowflag();
- Sgl_setoverflow(resultp1);
- } else if (result_exponent <= 0) { /* underflow case */
- if (Is_underflowtrap_enabled()) {
- /*
- * Adjust bias of result
- */
- Sgl_setwrapped_exponent(resultp1,result_exponent,unfl);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled())
- return (OPC_2E_UNDERFLOWEXCEPTION |
- OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(OPC_2E_UNDERFLOWEXCEPTION);
- }
- else if (inexact && is_tiny) Set_underflowflag();
- }
- else Sgl_set_exponent(resultp1,result_exponent);
- Sgl_copytoptr(resultp1,dstptr);
- if (inexact)
- if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
- else Set_inexactflag();
- return(NOEXCEPTION);
- }
|