ÿØÿà JFIF    ÿÛ „ !.%+&8&+/1555$;@;4?.451 4,$,44444444444414444444444444444444444444444444444444ÿÀ  á á" ÿÄ     ÿÄ ?    !1AQaq"2‘¡±ÁðBRbrÑá#‚’¢²3S CñÿÄ   ÿÄ !    !1QAa‘2ÿÚ   ? 5˜Z¯V¦cø)›t/? z¨±>Õ5€¶‹Á¤·¼z¼Ü¬+ñ®v¤¨_ˆR­BFn©—˜ý®ç̝P8gýt·ÉSTŦˆìät?þé¼íìN/Þa)ì–í6ô… Ï¿øÃj´¿KÇü]ÿ ªô¹-eKànëÕHTx}ýSÜ›ÿ ”7Ø×&µ<¦  ¥ÑO¶[Ù¯ä¨ÞÃÿ PZ-¬;#õ|•oaÿ ©CìÞz3˜öː/¤­ñTûIØ}š^ mÓ%ªxˆ¥ÉŸu=Z+ISe¿45™¼u;ú&WØ÷€æßQ™®{|íx*TC“#ZŠìZ§²‹ 6pv…³¿¡äª*áZÐ%ÒOáˆo"x«OHk w±æ+¬V(kMúŸ5Vö«$ ÁrÏbàb57/luR ¸ÑÛj Òµì`Ðœq­û žICÀÊ•©4€Âcà¨Ï€O´<èÐ:›ù(Ë^L8þ‘ÍÌ#¸Ð_Ì©ÙK(Öz 4¬û+¸;ü’V’84‘¬ÃŽ:[â‡ÔÌáõp¢~§ªlæ£ö{®G>J¼"°‡7¯ÆÉèßû ‹É‹§ÁòÃýâßî ^ƾÙõ‹×óH#«LP½ïX=xÑÍ$|W?•~• îëÔ©ª‹ {ÝT…Kÿ ”hûâá)J*ö˜–ÔU;iÇ€/ ÆþjóZ\ýwØ=Ìm ºèËL9 ýèÆð/¨’¥öo=nË.%Îì ŽÕ¯È|{Oj²ƒE6e/ßdÄõ²Ìâ1O®ò×TsəԸhOMýíMˆ¿¼H˜l²,7Â¥#MF/Úf°Ö½± ¸–dr‹NýÊ íjqx{œÉ ä-È ¦ øÄër¨q°ð †nцýÑÄÆ’mä…n<0È™;ÁÝá¯ÁZƒ7FÀmì­ É&9ˆîéi¶ùN§Y• ÃZãAâ?•‡©‰ , ó¾IŸŠc1 4â&y­&pŠ­6;M À 0¹qç»p.á …ŸÅáK@%6·y6ƒ‰3?”úºŽ‰éX5ªPT §µ!=Mž«Ú½‹ÅgÂSâÉaþÓoö–¯ÁÔìR>5éÿ üs¶ÆUcÌ kÇR ]ÿ ù¬¼«VŽ;Â|‡~¢¦”ÏÅ°æ {L™Õ°Óv¹ò¸írŽ¡×¢CÃ!íVÕ {¶»sŒNPg/ "uÕbkm²“$ďå¿é¹§°½æz¯6 †s¿!s–wÚÝ“™Œ °.ûj>·+™Òa…©Œ&rÝÎtÛë긪Ît’LAVp%c Úý[ÄzJ¾ÇàXXç@˜ó<êL]·T˜¾¥1Ó©V‡g´æ½¦Ý@¹óø!_@´ÞâSÁ —S3™•& ]@JHÚý©ZŽ €×æÔr»Áf!‡yÞ4Mv*èÓã_{‘åóUuљØ«Oïé*®EvÑ Œ÷‡U \"㪒ÍK+À 4“M¡ï:0¥5í!'<@î´”>Ç»&Z–ïCCV˜Ì5Šo&îhè.žû |ÓK©h$s6KìŒëã)¹hI¦GïOåóI;ììü#É$Š0…Ææ¥TØ.5­¾gn´ “ÂÖ\:hœ89G)J@„}œ:’Ò{/Š"¦_Æ×7Æ3VÇŠÊa]ÚŒÙ€Ä–=®uÁßâACZƒ§§£ Qnâ:«,×{tyø¬iÛcœÜÄ€H½ÄÍCk´÷šß .W'b¤Íåh]÷€=,Žv×cÚEÚHXJX¶îo¨FÒtèöŸ>ªª6[J®Fµ£sGÁeqõfe\íjÒÐïÄÐGˆe1Ø‹.Ø”‘Ëuø Y­ˆÜ ŽG|zùªüMpDnQWÄ”%JŠ™)â*p@Örš«ÕT2Ð%ˆG#ª„ ·¤!°ŸOTÂT¸aÚ%4&h™LµšØüÐ.F¿²ÐÞ_Ç‚¾ÅÃaÜ÷09Æ q€öy˜v‡85õN÷]¬äѼóS{°_MŽ¬úÔ#°Ç¸0åÞè2ëôPcvÆw9®ií1Ä8F™˜à‰´+‰Ik1òÝ7“Ñ×ÒsÝ\x‚h`ÞÑ`ó"|µEcý£n˜h`}GÞ !±ù²Ápü²ß6 0ïi󜵩SÈÇ7˜-ÕURO˜¦´f$ªž-Í6(œ}<„ éc øs]ŽŽ„*—¾ ìdŽ„)méª\¿êÎIg¾ØÞ~I#C/¼¼´EÁÈŽi8“©õådô·>euä ƒ'Ê×लR1ÉJE1ÐAát`t;ÇР%Ý<‡¥„ÍÆ`×Oyó)õiI€ñQaŸ4Ûù\áàaÃÔ¹HÃu¹*k€¦<„e S‡&õÏ B!ŽhüÞ`yj}mªf×\¿ Ç~æ­9‡û\՞Ǖg²1Žû5V7 !àöšm° c`ܬøÇìµÒ'P"?…´Ö,"§^•õŽ¨sÔ)6˜sæéÍR¼ ò|Sl”‹7 nPW Gòú÷½§O¯‡„l¡kSÞŒr½PÊ@æ¢pŽ-mÿ #Ÿ˜Àº¶Áä¦;ïÔæ$1££`“Õ>„—·ž)ßð³ñ#Ï Ô$¶œ‰ÊE‹À;÷º ¯«P:Ñ”8–IÊtpÞ3ª“>ê“þës4ò2OÏÕ­±zô†Õ§‰.÷ä¸;¿˜“'œ›žª}«Œ{ª±Ì 9ÔóÞÕ‡0 $íWV3Üì¬ —@kÝ4@¿r¼±½¬™›?øØæ´'Áé®CË3-g$˜ö‡×auÚi´Žp/êÛ æF›Ú2v‹ã¿¿,nB1̨ƃqÞa5͝@&Æû“él÷ \C²½UÍc ¯k×¢U ÖéQå™—-r wô ÞÏ<Ò=&=ÿ Ôê Òêˈt,i—;LîÜ á¸*ÚÃ1$êL•LÍ <É)ýÐà’ ;F™{ƒ™˜€&'}‚ãÄK`¡ÞT@I;®žZóè‚s’7®°›+§O­Åq©é»²9<Ô J ¼9O’HL»Ùïì¸rk¼Ž_ý‘TŸu[²ßÚŒ·ü÷B%¯E ŸÔX5êO´ Ç•€’I0 ÉJX` ñ¹õ%;µŸD‘«´€àwÒ™U ûئžÖö\×®×´8 ½‡ºÐÆÓ§?Àkmœ=;d5*@-ì0F Rªýš[Ü6âö̃ڸr*KA9· u*µæ£?U¸Âêí†8@¦X4 e-ò„0s{ HâUpU?¼mñRa°®a%Ð'tÉ×’\¾ÊÉ]t›h>·(Ë@R¼¡Ãt h}’O÷au<+nT…Ö…MӐ??Óe95 q>í/;&JSû °¯ÊéÞ øƒ*Ã2½Ài&:nôUl=¾¿5eˆ3”ñc|Ú2V”>„»&eE;«ÚäC p¢Û úy 9š[ŒÌx¼擼A&DåÒ¯ˆ¤ÀÌ;"˜ ÏQä¸åhÊ}Ûq«Û0WžÒ|»€ø®öCm5•\ÇÀ§Pe3£]0ÃàLDÉ‰1øªxjgwT‚÷¿LΨK‹›ùs—xˆÜ±µ kæ¸f‰‰ÜGk/LÛØ6d9ò¶ùA{ƒA3š/¬D¬khÓk‰`˜"㯒r¿±Óã jx‡°e}<Ñø\3y:'À•/h½Í€Ç4~g ?Û(¼]v‘ªlKÎâ~?O‚W%{Ì:“'©úNq¾›úo(X’¥¯ˆ nFê{Ç€ü?º'ë ø‹ì Þ09ŒÌç9Æ —ËC`j@ÓÄ(+a‹un¸#ÂꟋ{K`‘ÑÍÍ'à´»/Û,KW;Þ4²þð ï Nm|~fGÏ(…³Ã)«1ö­Õ ¥‡¨©ƒÃ™ü-s=à=U66Ï«Ýc蓦W¹íž®›nÔ%êÇìŒ<#Ü×84ån®Ð ÒåOC` ñânÑs‡¢ç 1õ%Îhì½Ã½® e:ݼUZo™`  ÅZŸŒÊ«ê1ÏÄo$q¹Þ€©ˆhÐÉä¯ñ[!…Ú˜àJ:x2$Íß&PåT£6ç— ‡Í*4Ýšçjÿ ‰É nófÐ ó(L5C•åÆ\rMÒ@ò }y-W}™üýVù—ú¢=Ù”c®‘< M ž ´Phr ¦©TD ‘ù.$´÷O‡‘V2Æò.=IUŒ=ž‡â¬i™aþÓåÙ?òUø'ØÖ•.~* šTŒ!•-×áºTâ®ä#õü'´ eýlYÅÓeÕKÂrT"CÚ@u!Óxƒ{š3€}1¿(r}%«nËamjÑ%ÑNEò v ˜à  σöK³,*º.àzù¨™Ó ÚçâU¦*¿ 9{%Ö¹ njûdaXöb) kÛƱûÓ\°M7ˆÂ=û›ç¿Ã‚­V»Cg–8ÙêE- j)k$º`Ã-ùEýeBÆÇ]c¡°ñty&Òd0nõ'¡W+ƒ*|–øµFa\GQªEAÔp5\Ǽ·¼Ç8·õ -â§Ú[ ‡ uZeÖ 3}×d'+¹:ð+K†Û®s!Ï$úe€<Û”x)1»a­¡LC]¸µík…ÚàA»AYº{†ªS[¦5HÒ7ù --,ísòDØ€èk ÞÀîÜ ò@â( ËNˆë›4ô½•/¦o‡€Û7 ê•ÆêòðÜy'Án½µ á˜ݦ ndeo…[ì¶Ê,¥R³Ä=À±—–ß;£™´ñSâ*g§”ïaið‘Jå~™ÓÞ ß³Õ¢»8x埒²52>AÊb&-÷\7´éÄù€T˜,w;3{ï˜k…à¹ÄqÀ«œ{€\ ˆ¾[´¨јr &Úé„Ívˆ±8†¿]|¬ņ4I×pÞS1ÈÖz‰#Ìv‡G!YNògñ:màTz¢Ý1ô©^O=~ë|5Bã™ç•¼µõ•bÆ@úÕS¬ÈŒ#¬zünrŸ û” Z²•ï›èðV"ÁHÚý©wÝ €7¼Ìu1hÑa3Éä û f$o¿É ™Ú›ÝçnpÒ3äÌ3†Í§,Äï]$‰/pê †«À¼¸e9­Æê_C]žƒ·ý·frÁN«, E=›Çq -‰öŒ:aÏ¿±í&£Í:-} 84‘ÿ eƒQÑeëSsuiA ³g㟥ú£?ÿ ʼn*”“÷aühe:ÊWa@ÒÞk±eØ] F Ô—r.åä˜ @ö¥ªZoÐýYL·¥S²G/‡ñ <~*ZÆ´è>JlòàÛƽÿ 窘ìGN¢:I®KšJp/`íIÁÀõ#Ä-€ö­šµŒoF4|ÆQØÆ@Ì|£Ô…¢À{9˜è½Üó›€ôYÒÎYsið;ís¤€à²ˆ‚4qÉVŒI$ ‰"° æµ8cXGjœˏ¡Aâý•ËÜ¢ûï e·çLx']á"oÅÎê3¯Ç—¹”ó0nå‚âg{Œñ> S´˜îè°g238‚ãköÝfÚd´6Ò€;ò÷±¢™¼›º ¢Æ'¥Ðx'e¬ç ]bÈÆV¢ó‹kýBO ðÊâ$Ÿ!×T 3Mýמ žìٍàÌü‘8÷€àæØ8æ©6‰©L´«…oãpð„~Çk‰!ñ;‹”ÛžÍ àž±z Ÿôû øŸÝužÏ;ÿ #|u6™Þ¬ÚˆÐõA4¶â|ôl|Ê2ŽÇ¤ÝÅÇY.<#Aí.k§hóF‚”Y; M½Ö4hŸ4&›­¿tès´%FìL¥£Ãk‰ÇT¤haÁ¤ÚxfÉ`ÑìË›>i 3t‚:,–+^÷´–{Û–Nxi"x‘Ûg î¨>¥Õ܁ùZH,2Û“:8xÊ¢Çí9.É-Ìâã-=çjwµS˜dütžçwýGòú®®ûº_ˆýx$–¡ãøO EÚÛÏ÷R„×w+3£Á£öUMyR²¹âŒ°š›¸Ñãò9§Ó_Dl+Ùßc›úšGÅÌc†Ž!Ko=¶.‘Îÿ c²(2®V mª.ÿ ¹B›¹å ù„öŸSV>™ü¯$y:G¢Z×àøúdî¹û­·ýÇ´:•c LÍõi_‹ö+ÎæGÊè>OŠ•äž´§Þ{X}¨1ÚTc›»Qþ•êô°t¿OP?eæ~É{5]•ÙR£r5†nZ\ã@ &îJõ ¾àC°þV>fé¥/ü5ñÊIº_é5 ;e­h<@ Ä&æÃëE%;X,ÒãÆÞ`Oò¦kŸm#˜!ÀyÄ¢| óLšò¥Ä` ¶R=|ÈCâh5ò3DˆïF†ðÒ#ÅìÛœ?¸yhBãœí ZxßÎÄhºRK„`Þödvײ™ÀÈÑÒgŒuY w³%†ƒÓzõ ÖÏp‚dH®¦A´ù§»ÓÇMæ~)ˆð‡û:ù&Ä •vGD´À n ݇¼Ö8Fö óáà£~Ë¥x`oK|Ä?fxiØü%pìR>éò+Û±éÎ>núlFŤ'tq8LZÏvÃ?„¡ß±È⽆¯³íü@x|PöUäèØã¡ð‚ŒAìÏ"vÍwóŸÍ{ ý0.z È•Ö{,N¡£¡ŸKÕÙž>Ýœþ ÍÀ°<×EA!Å‚D™IúOÍ¡>ôG}Â` ÍßkÜL™Ž Þð™ {IøF²¹òQ3&!ÃÂÞz.d&Ï-sH¸,Ôõ˜ŽP€ 77ˆÝ¼ÊëÜw =cÕ Ú,ØÐ5ÎYÐ)ì´öœgŒ[¤ßv㙑8心>h]§µháYš£²ºÑ.{Ï7Sð•?´~×SÃKýJÛ˜ ™Íäiúu<µX¶1õ^kâçIÑ£sZ4h>j*ÔšD:4­¿_ ÷¸ Õxæÿ ¸?Mù _•­ÊÐ ä ÷ý ÑwL œ­ïnTkÛUÍN©ë:¦fV ¶ÜÔÜMªÅâA½–¿R×TXš-%iTÊT•‡Ù‚JôϐZxWÑè‰f‰òG º ×Õû2aZ7OU3[“×AT–ÞŒ…-‘¤”Ì ì&(ˆ¿­•ƒkï’:ðY¦W‘ Å)“†‘˜³Åtcø˜ñTÂwÚÇ4|üLÇªí–v- qˆèU qPE.†â‘˜µ Æ,ÐÅs]8¾„oúÑ i>ÜxxÈó)ƒ ´æÁâØ$À‰vžŸf$Ž |ãw;ÀÁIJ»b` {¦Ó¤Ú$©YÀ‘n@Óïž«9J¼êG m¤ ܯ¹ÌW4€ÐÒÅÛ‡#褕Ÿn-?í|с¥÷Ú¹¬'´ÞÜ9ÓK `hê£SÄSà?7—Wí_´…óB›»:=Ãïq`<8ñÓŒÑlú2d¬ê³£hÖ[l|$vÝro~'R®‰§°ñmY ͧäP |PUª¹·:3Œ[Û{Xÿ ºâ@‚W–Äé u‚ ¯´*=íή.pûÒdt @G‰¬ s¸ ëÉücr ÞæѨÊ@>¤¢Ö±. Þ'¯°ÌME[YéïĵÂCå½ Ué©Áû'Ê9%eÔðNU”ë‘ÌsD3/®+UI˜9h.WC”빓$#:pz:YÓ ¿xž* ³$Í +$kñAŠ‹†¢ Uê>¸)_š¬÷©ßAÂÔb9ÇU ¯¾á•9¯ÏÏ÷O÷¼¼Fähal1‰3Ì[Ïr•´UCksNÐ] R‘¸¥H+§Šé†c©vÖÞ0iÓ76s†î!§=ß ¼~Ô'°Ãmäoäš³ªøi1úÉ)³yV8 CLÄØÁ‘WYïi€H6ÖÑiámø^ÈY´°Ñ7¥Û*—Ñ©L«Qƒï—Ùrÿ ›£Ð*š¸ˆL©ˆ$ˆ ÷¾D§9È®«qbqC)–ˆïv´çñsÑVT­Ø, <àïºÀO«Jý·õ àfPìð .wFšir´þ’2_Y *Æ€x\« ì€9š@ Ž|F⇥ˆkZ@hÖÄ0t¿-<“‹qµ¾*ZL¤Ú)&BJpÓF5=$„at*Zš$’ÑtdûÝRI1 2Ž‰$€$I$#‰SÞ’Hë¬ï;Á$¡t$’`<(ñÇt)$‡Ð.Êf¢X’Kt=Éé$‚ˆªè¢oÝëòI%Rgcª÷ŠyI%¡‰ÿ !ñ)´õ $¤ Ô’IIGÿÙ------------------------------------------------------------------------ -- dqRemainder.decTest -- decQuad remainder -- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 extended: 1 clamp: 1 precision: 34 maxExponent: 6144 minExponent: -6143 rounding: half_even -- sanity checks (as base, above) dqrem001 remainder 1 1 -> 0 dqrem002 remainder 2 1 -> 0 dqrem003 remainder 1 2 -> 1 dqrem004 remainder 2 2 -> 0 dqrem005 remainder 0 1 -> 0 dqrem006 remainder 0 2 -> 0 dqrem007 remainder 1 3 -> 1 dqrem008 remainder 2 3 -> 2 dqrem009 remainder 3 3 -> 0 dqrem010 remainder 2.4 1 -> 0.4 dqrem011 remainder 2.4 -1 -> 0.4 dqrem012 remainder -2.4 1 -> -0.4 dqrem013 remainder -2.4 -1 -> -0.4 dqrem014 remainder 2.40 1 -> 0.40 dqrem015 remainder 2.400 1 -> 0.400 dqrem016 remainder 2.4 2 -> 0.4 dqrem017 remainder 2.400 2 -> 0.400 dqrem018 remainder 2. 2 -> 0 dqrem019 remainder 20 20 -> 0 dqrem020 remainder 187 187 -> 0 dqrem021 remainder 5 2 -> 1 dqrem022 remainder 5 2.0 -> 1.0 dqrem023 remainder 5 2.000 -> 1.000 dqrem024 remainder 5 0.200 -> 0.000 dqrem025 remainder 5 0.200 -> 0.000 dqrem030 remainder 1 2 -> 1 dqrem031 remainder 1 4 -> 1 dqrem032 remainder 1 8 -> 1 dqrem033 remainder 1 16 -> 1 dqrem034 remainder 1 32 -> 1 dqrem035 remainder 1 64 -> 1 dqrem040 remainder 1 -2 -> 1 dqrem041 remainder 1 -4 -> 1 dqrem042 remainder 1 -8 -> 1 dqrem043 remainder 1 -16 -> 1 dqrem044 remainder 1 -32 -> 1 dqrem045 remainder 1 -64 -> 1 dqrem050 remainder -1 2 -> -1 dqrem051 remainder -1 4 -> -1 dqrem052 remainder -1 8 -> -1 dqrem053 remainder -1 16 -> -1 dqrem054 remainder -1 32 -> -1 dqrem055 remainder -1 64 -> -1 dqrem060 remainder -1 -2 -> -1 dqrem061 remainder -1 -4 -> -1 dqrem062 remainder -1 -8 -> -1 dqrem063 remainder -1 -16 -> -1 dqrem064 remainder -1 -32 -> -1 dqrem065 remainder -1 -64 -> -1 dqrem066 remainder 999999999 1 -> 0 dqrem067 remainder 999999999.4 1 -> 0.4 dqrem068 remainder 999999999.5 1 -> 0.5 dqrem069 remainder 999999999.9 1 -> 0.9 dqrem070 remainder 999999999.999 1 -> 0.999 dqrem071 remainder 999999.999999 1 -> 0.999999 dqrem072 remainder 9 1 -> 0 dqrem080 remainder 0. 1 -> 0 dqrem081 remainder .0 1 -> 0.0 dqrem082 remainder 0.00 1 -> 0.00 dqrem083 remainder 0.00E+9 1 -> 0 dqrem084 remainder 0.00E+3 1 -> 0 dqrem085 remainder 0.00E+2 1 -> 0 dqrem086 remainder 0.00E+1 1 -> 0.0 dqrem087 remainder 0.00E+0 1 -> 0.00 dqrem088 remainder 0.00E-0 1 -> 0.00 dqrem089 remainder 0.00E-1 1 -> 0.000 dqrem090 remainder 0.00E-2 1 -> 0.0000 dqrem091 remainder 0.00E-3 1 -> 0.00000 dqrem092 remainder 0.00E-4 1 -> 0.000000 dqrem093 remainder 0.00E-5 1 -> 0E-7 dqrem094 remainder 0.00E-6 1 -> 0E-8 dqrem095 remainder 0.0000E-50 1 -> 0E-54 -- Various flavours of remainder by 0 dqrem101 remainder 0 0 -> NaN Division_undefined dqrem102 remainder 0 -0 -> NaN Division_undefined dqrem103 remainder -0 0 -> NaN Division_undefined dqrem104 remainder -0 -0 -> NaN Division_undefined dqrem105 remainder 0.0E5 0 -> NaN Division_undefined dqrem106 remainder 0.000 0 -> NaN Division_undefined -- [Some think this next group should be Division_by_zero exception, but -- IEEE 854 is explicit that it is Invalid operation .. for -- remainder-near, anyway] dqrem107 remainder 0.0001 0 -> NaN Invalid_operation dqrem108 remainder 0.01 0 -> NaN Invalid_operation dqrem109 remainder 0.1 0 -> NaN Invalid_operation dqrem110 remainder 1 0 -> NaN Invalid_operation dqrem111 remainder 1 0.0 -> NaN Invalid_operation dqrem112 remainder 10 0.0 -> NaN Invalid_operation dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation dqrem114 remainder 1E+380 0 -> NaN Invalid_operation dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation dqrem116 remainder 0.01 -0 -> NaN Invalid_operation dqrem119 remainder 0.1 -0 -> NaN Invalid_operation dqrem120 remainder 1 -0 -> NaN Invalid_operation dqrem121 remainder 1 -0.0 -> NaN Invalid_operation dqrem122 remainder 10 -0.0 -> NaN Invalid_operation dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation -- and zeros on left dqrem130 remainder 0 1 -> 0 dqrem131 remainder 0 -1 -> 0 dqrem132 remainder 0.0 1 -> 0.0 dqrem133 remainder 0.0 -1 -> 0.0 dqrem134 remainder -0 1 -> -0 dqrem135 remainder -0 -1 -> -0 dqrem136 remainder -0.0 1 -> -0.0 dqrem137 remainder -0.0 -1 -> -0.0 -- 0.5ers dqrem143 remainder 0.5 2 -> 0.5 dqrem144 remainder 0.5 2.1 -> 0.5 dqrem145 remainder 0.5 2.01 -> 0.50 dqrem146 remainder 0.5 2.001 -> 0.500 dqrem147 remainder 0.50 2 -> 0.50 dqrem148 remainder 0.50 2.01 -> 0.50 dqrem149 remainder 0.50 2.001 -> 0.500 -- steadies dqrem150 remainder 1 1 -> 0 dqrem151 remainder 1 2 -> 1 dqrem152 remainder 1 3 -> 1 dqrem153 remainder 1 4 -> 1 dqrem154 remainder 1 5 -> 1 dqrem155 remainder 1 6 -> 1 dqrem156 remainder 1 7 -> 1 dqrem157 remainder 1 8 -> 1 dqrem158 remainder 1 9 -> 1 dqrem159 remainder 1 10 -> 1 dqrem160 remainder 1 1 -> 0 dqrem161 remainder 2 1 -> 0 dqrem162 remainder 3 1 -> 0 dqrem163 remainder 4 1 -> 0 dqrem164 remainder 5 1 -> 0 dqrem165 remainder 6 1 -> 0 dqrem166 remainder 7 1 -> 0 dqrem167 remainder 8 1 -> 0 dqrem168 remainder 9 1 -> 0 dqrem169 remainder 10 1 -> 0 -- some differences from remainderNear dqrem171 remainder 0.4 1.020 -> 0.400 dqrem172 remainder 0.50 1.020 -> 0.500 dqrem173 remainder 0.51 1.020 -> 0.510 dqrem174 remainder 0.52 1.020 -> 0.520 dqrem175 remainder 0.6 1.020 -> 0.600 -- More flavours of remainder by 0 dqrem201 remainder 0 0 -> NaN Division_undefined dqrem202 remainder 0.0E5 0 -> NaN Division_undefined dqrem203 remainder 0.000 0 -> NaN Division_undefined dqrem204 remainder 0.0001 0 -> NaN Invalid_operation dqrem205 remainder 0.01 0 -> NaN Invalid_operation dqrem206 remainder 0.1 0 -> NaN Invalid_operation dqrem207 remainder 1 0 -> NaN Invalid_operation dqrem208 remainder 1 0.0 -> NaN Invalid_operation dqrem209 remainder 10 0.0 -> NaN Invalid_operation dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation dqrem211 remainder 1E+380 0 -> NaN Invalid_operation -- some differences from remainderNear dqrem231 remainder -0.4 1.020 -> -0.400 dqrem232 remainder -0.50 1.020 -> -0.500 dqrem233 remainder -0.51 1.020 -> -0.510 dqrem234 remainder -0.52 1.020 -> -0.520 dqrem235 remainder -0.6 1.020 -> -0.600 -- high Xs dqrem240 remainder 1E+2 1.00 -> 0.00 -- dqrem3xx are from DiagBigDecimal dqrem301 remainder 1 3 -> 1 dqrem302 remainder 5 5 -> 0 dqrem303 remainder 13 10 -> 3 dqrem304 remainder 13 50 -> 13 dqrem305 remainder 13 100 -> 13 dqrem306 remainder 13 1000 -> 13 dqrem307 remainder .13 1 -> 0.13 dqrem308 remainder 0.133 1 -> 0.133 dqrem309 remainder 0.1033 1 -> 0.1033 dqrem310 remainder 1.033 1 -> 0.033 dqrem311 remainder 10.33 1 -> 0.33 dqrem312 remainder 10.33 10 -> 0.33 dqrem313 remainder 103.3 1 -> 0.3 dqrem314 remainder 133 10 -> 3 dqrem315 remainder 1033 10 -> 3 dqrem316 remainder 1033 50 -> 33 dqrem317 remainder 101.0 3 -> 2.0 dqrem318 remainder 102.0 3 -> 0.0 dqrem319 remainder 103.0 3 -> 1.0 dqrem320 remainder 2.40 1 -> 0.40 dqrem321 remainder 2.400 1 -> 0.400 dqrem322 remainder 2.4 1 -> 0.4 dqrem323 remainder 2.4 2 -> 0.4 dqrem324 remainder 2.400 2 -> 0.400 dqrem325 remainder 1 0.3 -> 0.1 dqrem326 remainder 1 0.30 -> 0.10 dqrem327 remainder 1 0.300 -> 0.100 dqrem328 remainder 1 0.3000 -> 0.1000 dqrem329 remainder 1.0 0.3 -> 0.1 dqrem330 remainder 1.00 0.3 -> 0.10 dqrem331 remainder 1.000 0.3 -> 0.100 dqrem332 remainder 1.0000 0.3 -> 0.1000 dqrem333 remainder 0.5 2 -> 0.5 dqrem334 remainder 0.5 2.1 -> 0.5 dqrem335 remainder 0.5 2.01 -> 0.50 dqrem336 remainder 0.5 2.001 -> 0.500 dqrem337 remainder 0.50 2 -> 0.50 dqrem338 remainder 0.50 2.01 -> 0.50 dqrem339 remainder 0.50 2.001 -> 0.500 dqrem340 remainder 0.5 0.5000001 -> 0.5000000 dqrem341 remainder 0.5 0.50000001 -> 0.50000000 dqrem342 remainder 0.5 0.500000001 -> 0.500000000 dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000 dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000 dqrem345 remainder 0.5 0.4999999 -> 1E-7 dqrem346 remainder 0.5 0.49999999 -> 1E-8 dqrem347 remainder 0.5 0.499999999 -> 1E-9 dqrem348 remainder 0.5 0.4999999999 -> 1E-10 dqrem349 remainder 0.5 0.49999999999 -> 1E-11 dqrem350 remainder 0.5 0.499999999999 -> 1E-12 dqrem351 remainder 0.03 7 -> 0.03 dqrem352 remainder 5 2 -> 1 dqrem353 remainder 4.1 2 -> 0.1 dqrem354 remainder 4.01 2 -> 0.01 dqrem355 remainder 4.001 2 -> 0.001 dqrem356 remainder 4.0001 2 -> 0.0001 dqrem357 remainder 4.00001 2 -> 0.00001 dqrem358 remainder 4.000001 2 -> 0.000001 dqrem359 remainder 4.0000001 2 -> 1E-7 dqrem360 remainder 1.2 0.7345 -> 0.4655 dqrem361 remainder 0.8 12 -> 0.8 dqrem362 remainder 0.8 0.2 -> 0.0 dqrem363 remainder 0.8 0.3 -> 0.2 dqrem364 remainder 0.800 12 -> 0.800 dqrem365 remainder 0.800 1.7 -> 0.800 dqrem366 remainder 2.400 2 -> 0.400 dqrem371 remainder 2.400 2 -> 0.400 dqrem381 remainder 12345 1 -> 0 dqrem382 remainder 12345 1.0001 -> 0.7657 dqrem383 remainder 12345 1.001 -> 0.668 dqrem384 remainder 12345 1.01 -> 0.78 dqrem385 remainder 12345 1.1 -> 0.8 dqrem386 remainder 12355 4 -> 3 dqrem387 remainder 12345 4 -> 1 dqrem388 remainder 12355 4.0001 -> 2.6912 dqrem389 remainder 12345 4.0001 -> 0.6914 dqrem390 remainder 12345 4.9 -> 1.9 dqrem391 remainder 12345 4.99 -> 4.73 dqrem392 remainder 12345 4.999 -> 2.469 dqrem393 remainder 12345 4.9999 -> 0.2469 dqrem394 remainder 12345 5 -> 0 dqrem395 remainder 12345 5.0001 -> 4.7532 dqrem396 remainder 12345 5.001 -> 2.532 dqrem397 remainder 12345 5.01 -> 0.36 dqrem398 remainder 12345 5.1 -> 3.0 -- the nasty division-by-1 cases dqrem401 remainder 0.5 1 -> 0.5 dqrem402 remainder 0.55 1 -> 0.55 dqrem403 remainder 0.555 1 -> 0.555 dqrem404 remainder 0.5555 1 -> 0.5555 dqrem405 remainder 0.55555 1 -> 0.55555 dqrem406 remainder 0.555555 1 -> 0.555555 dqrem407 remainder 0.5555555 1 -> 0.5555555 dqrem408 remainder 0.55555555 1 -> 0.55555555 dqrem409 remainder 0.555555555 1 -> 0.555555555 -- folddowns dqrem421 remainder 1E+6144 1 -> NaN Division_impossible dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped -- tinies dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176 dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176 dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176 dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176 dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176 dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal -- zero signs dqrem650 remainder 1 1 -> 0 dqrem651 remainder -1 1 -> -0 dqrem652 remainder 1 -1 -> 0 dqrem653 remainder -1 -1 -> -0 dqrem654 remainder 0 1 -> 0 dqrem655 remainder -0 1 -> -0 dqrem656 remainder 0 -1 -> 0 dqrem657 remainder -0 -1 -> -0 dqrem658 remainder 0.00 1 -> 0.00 dqrem659 remainder -0.00 1 -> -0.00 -- Specials dqrem680 remainder Inf -Inf -> NaN Invalid_operation dqrem681 remainder Inf -1000 -> NaN Invalid_operation dqrem682 remainder Inf -1 -> NaN Invalid_operation dqrem683 remainder Inf 0 -> NaN Invalid_operation dqrem684 remainder Inf -0 -> NaN Invalid_operation dqrem685 remainder Inf 1 -> NaN Invalid_operation dqrem686 remainder Inf 1000 -> NaN Invalid_operation dqrem687 remainder Inf Inf -> NaN Invalid_operation dqrem688 remainder -1000 Inf -> -1000 dqrem689 remainder -Inf Inf -> NaN Invalid_operation dqrem691 remainder -1 Inf -> -1 dqrem692 remainder 0 Inf -> 0 dqrem693 remainder -0 Inf -> -0 dqrem694 remainder 1 Inf -> 1 dqrem695 remainder 1000 Inf -> 1000 dqrem696 remainder Inf Inf -> NaN Invalid_operation dqrem700 remainder -Inf -Inf -> NaN Invalid_operation dqrem701 remainder -Inf -1000 -> NaN Invalid_operation dqrem702 remainder -Inf -1 -> NaN Invalid_operation dqrem703 remainder -Inf -0 -> NaN Invalid_operation dqrem704 remainder -Inf 0 -> NaN Invalid_operation dqrem705 remainder -Inf 1 -> NaN Invalid_operation dqrem706 remainder -Inf 1000 -> NaN Invalid_operation dqrem707 remainder -Inf Inf -> NaN Invalid_operation dqrem708 remainder -Inf -Inf -> NaN Invalid_operation dqrem709 remainder -1000 Inf -> -1000 dqrem710 remainder -1 -Inf -> -1 dqrem711 remainder -0 -Inf -> -0 dqrem712 remainder 0 -Inf -> 0 dqrem713 remainder 1 -Inf -> 1 dqrem714 remainder 1000 -Inf -> 1000 dqrem715 remainder Inf -Inf -> NaN Invalid_operation dqrem721 remainder NaN -Inf -> NaN dqrem722 remainder NaN -1000 -> NaN dqrem723 remainder NaN -1 -> NaN dqrem724 remainder NaN -0 -> NaN dqrem725 remainder -NaN 0 -> -NaN dqrem726 remainder NaN 1 -> NaN dqrem727 remainder NaN 1000 -> NaN dqrem728 remainder NaN Inf -> NaN dqrem729 remainder NaN -NaN -> NaN dqrem730 remainder -Inf NaN -> NaN dqrem731 remainder -1000 NaN -> NaN dqrem732 remainder -1 NaN -> NaN dqrem733 remainder -0 -NaN -> -NaN dqrem734 remainder 0 NaN -> NaN dqrem735 remainder 1 -NaN -> -NaN dqrem736 remainder 1000 NaN -> NaN dqrem737 remainder Inf NaN -> NaN dqrem741 remainder sNaN -Inf -> NaN Invalid_operation dqrem742 remainder sNaN -1000 -> NaN Invalid_operation dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation dqrem744 remainder sNaN -0 -> NaN Invalid_operation dqrem745 remainder sNaN 0 -> NaN Invalid_operation dqrem746 remainder sNaN 1 -> NaN Invalid_operation dqrem747 remainder sNaN 1000 -> NaN Invalid_operation dqrem749 remainder sNaN NaN -> NaN Invalid_operation dqrem750 remainder sNaN sNaN -> NaN Invalid_operation dqrem751 remainder NaN sNaN -> NaN Invalid_operation dqrem752 remainder -Inf sNaN -> NaN Invalid_operation dqrem753 remainder -1000 sNaN -> NaN Invalid_operation dqrem754 remainder -1 sNaN -> NaN Invalid_operation dqrem755 remainder -0 sNaN -> NaN Invalid_operation dqrem756 remainder 0 sNaN -> NaN Invalid_operation dqrem757 remainder 1 sNaN -> NaN Invalid_operation dqrem758 remainder 1000 sNaN -> NaN Invalid_operation dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation -- propaging NaNs dqrem760 remainder NaN1 NaN7 -> NaN1 dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation dqrem764 remainder 15 NaN11 -> NaN11 dqrem765 remainder NaN6 NaN12 -> NaN6 dqrem766 remainder Inf NaN13 -> NaN13 dqrem767 remainder NaN14 -Inf -> NaN14 dqrem768 remainder 0 NaN15 -> NaN15 dqrem769 remainder NaN16 -0 -> NaN16 -- edge cases of impossible dqrem770 remainder 1234568888888887777777777890123456 10 -> 6 dqrem771 remainder 1234568888888887777777777890123456 1 -> 0 dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible -- long operand checks dqrem801 remainder 12345678000 100 -> 0 dqrem802 remainder 1 12345678000 -> 1 dqrem803 remainder 1234567800 10 -> 0 dqrem804 remainder 1 1234567800 -> 1 dqrem805 remainder 1234567890 10 -> 0 dqrem806 remainder 1 1234567890 -> 1 dqrem807 remainder 1234567891 10 -> 1 dqrem808 remainder 1 1234567891 -> 1 dqrem809 remainder 12345678901 100 -> 1 dqrem810 remainder 1 12345678901 -> 1 dqrem811 remainder 1234567896 10 -> 6 dqrem812 remainder 1 1234567896 -> 1 dqrem821 remainder 12345678000 100 -> 0 dqrem822 remainder 1 12345678000 -> 1 dqrem823 remainder 1234567800 10 -> 0 dqrem824 remainder 1 1234567800 -> 1 dqrem825 remainder 1234567890 10 -> 0 dqrem826 remainder 1 1234567890 -> 1 dqrem827 remainder 1234567891 10 -> 1 dqrem828 remainder 1 1234567891 -> 1 dqrem829 remainder 12345678901 100 -> 1 dqrem830 remainder 1 12345678901 -> 1 dqrem831 remainder 1234567896 10 -> 6 dqrem832 remainder 1 1234567896 -> 1 -- from divideint dqrem840 remainder 100000000.0 1 -> 0.0 dqrem841 remainder 100000000.4 1 -> 0.4 dqrem842 remainder 100000000.5 1 -> 0.5 dqrem843 remainder 100000000.9 1 -> 0.9 dqrem844 remainder 100000000.999 1 -> 0.999 dqrem850 remainder 100000003 5 -> 3 dqrem851 remainder 10000003 5 -> 3 dqrem852 remainder 1000003 5 -> 3 dqrem853 remainder 100003 5 -> 3 dqrem854 remainder 10003 5 -> 3 dqrem855 remainder 1003 5 -> 3 dqrem856 remainder 103 5 -> 3 dqrem857 remainder 13 5 -> 3 dqrem858 remainder 1 5 -> 1 -- Vladimir's cases 1234567890123456 dqrem860 remainder 123.0e1 1000000000000000 -> 1230 dqrem861 remainder 1230 1000000000000000 -> 1230 dqrem862 remainder 12.3e2 1000000000000000 -> 1230 dqrem863 remainder 1.23e3 1000000000000000 -> 1230 dqrem864 remainder 123e1 1000000000000000 -> 1230 dqrem870 remainder 123e1 1000000000000000 -> 1230 dqrem871 remainder 123e1 100000000000000 -> 1230 dqrem872 remainder 123e1 10000000000000 -> 1230 dqrem873 remainder 123e1 1000000000000 -> 1230 dqrem874 remainder 123e1 100000000000 -> 1230 dqrem875 remainder 123e1 10000000000 -> 1230 dqrem876 remainder 123e1 1000000000 -> 1230 dqrem877 remainder 123e1 100000000 -> 1230 dqrem878 remainder 1230 100000000 -> 1230 dqrem879 remainder 123e1 10000000 -> 1230 dqrem880 remainder 123e1 1000000 -> 1230 dqrem881 remainder 123e1 100000 -> 1230 dqrem882 remainder 123e1 10000 -> 1230 dqrem883 remainder 123e1 1000 -> 230 dqrem884 remainder 123e1 100 -> 30 dqrem885 remainder 123e1 10 -> 0 dqrem886 remainder 123e1 1 -> 0 dqrem890 remainder 123e1 2000000000000000 -> 1230 dqrem891 remainder 123e1 200000000000000 -> 1230 dqrem892 remainder 123e1 20000000000000 -> 1230 dqrem893 remainder 123e1 2000000000000 -> 1230 dqrem894 remainder 123e1 200000000000 -> 1230 dqrem895 remainder 123e1 20000000000 -> 1230 dqrem896 remainder 123e1 2000000000 -> 1230 dqrem897 remainder 123e1 200000000 -> 1230 dqrem899 remainder 123e1 20000000 -> 1230 dqrem900 remainder 123e1 2000000 -> 1230 dqrem901 remainder 123e1 200000 -> 1230 dqrem902 remainder 123e1 20000 -> 1230 dqrem903 remainder 123e1 2000 -> 1230 dqrem904 remainder 123e1 200 -> 30 dqrem905 remainder 123e1 20 -> 10 dqrem906 remainder 123e1 2 -> 0 dqrem910 remainder 123e1 5000000000000000 -> 1230 dqrem911 remainder 123e1 500000000000000 -> 1230 dqrem912 remainder 123e1 50000000000000 -> 1230 dqrem913 remainder 123e1 5000000000000 -> 1230 dqrem914 remainder 123e1 500000000000 -> 1230 dqrem915 remainder 123e1 50000000000 -> 1230 dqrem916 remainder 123e1 5000000000 -> 1230 dqrem917 remainder 123e1 500000000 -> 1230 dqrem919 remainder 123e1 50000000 -> 1230 dqrem920 remainder 123e1 5000000 -> 1230 dqrem921 remainder 123e1 500000 -> 1230 dqrem922 remainder 123e1 50000 -> 1230 dqrem923 remainder 123e1 5000 -> 1230 dqrem924 remainder 123e1 500 -> 230 dqrem925 remainder 123e1 50 -> 30 dqrem926 remainder 123e1 5 -> 0 dqrem930 remainder 123e1 9000000000000000 -> 1230 dqrem931 remainder 123e1 900000000000000 -> 1230 dqrem932 remainder 123e1 90000000000000 -> 1230 dqrem933 remainder 123e1 9000000000000 -> 1230 dqrem934 remainder 123e1 900000000000 -> 1230 dqrem935 remainder 123e1 90000000000 -> 1230 dqrem936 remainder 123e1 9000000000 -> 1230 dqrem937 remainder 123e1 900000000 -> 1230 dqrem939 remainder 123e1 90000000 -> 1230 dqrem940 remainder 123e1 9000000 -> 1230 dqrem941 remainder 123e1 900000 -> 1230 dqrem942 remainder 123e1 90000 -> 1230 dqrem943 remainder 123e1 9000 -> 1230 dqrem944 remainder 123e1 900 -> 330 dqrem945 remainder 123e1 90 -> 60 dqrem946 remainder 123e1 9 -> 6 dqrem950 remainder 123e1 1000000000000000 -> 1230 dqrem961 remainder 123e1 2999999999999999 -> 1230 dqrem962 remainder 123e1 3999999999999999 -> 1230 dqrem963 remainder 123e1 4999999999999999 -> 1230 dqrem964 remainder 123e1 5999999999999999 -> 1230 dqrem965 remainder 123e1 6999999999999999 -> 1230 dqrem966 remainder 123e1 7999999999999999 -> 1230 dqrem967 remainder 123e1 8999999999999999 -> 1230 dqrem968 remainder 123e1 9999999999999999 -> 1230 dqrem969 remainder 123e1 9876543210987654 -> 1230 dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally -- overflow and underflow tests [from divide] dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible dqrem1055 remainder 1e-277 1e+311 -> 1E-277 dqrem1056 remainder 1e-277 -1e+311 -> 1E-277 dqrem1057 remainder -1e-277 1e+311 -> -1E-277 dqrem1058 remainder -1e-277 -1e+311 -> -1E-277 -- Gyuris example dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143 -- destructive subtract dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768 dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779 dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890 dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687 dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692 dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251 dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247 dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246 dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759 -- Null tests dqrem1000 remainder 10 # -> NaN Invalid_operation dqrem1001 remainder # 10 -> NaN Invalid_operation