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------------------------------------------------------------------------ -- ddRemainderNear.decTest -- decDouble remainder-near -- -- 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 precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even -- sanity checks (as base, above) ddrmn001 remaindernear 1 1 -> 0 ddrmn002 remaindernear 2 1 -> 0 ddrmn003 remaindernear 1 2 -> 1 ddrmn004 remaindernear 2 2 -> 0 ddrmn005 remaindernear 0 1 -> 0 ddrmn006 remaindernear 0 2 -> 0 ddrmn007 remaindernear 1 3 -> 1 ddrmn008 remaindernear 2 3 -> -1 ddrmn009 remaindernear 3 3 -> 0 ddrmn010 remaindernear 2.4 1 -> 0.4 ddrmn011 remaindernear 2.4 -1 -> 0.4 ddrmn012 remaindernear -2.4 1 -> -0.4 ddrmn013 remaindernear -2.4 -1 -> -0.4 ddrmn014 remaindernear 2.40 1 -> 0.40 ddrmn015 remaindernear 2.400 1 -> 0.400 ddrmn016 remaindernear 2.4 2 -> 0.4 ddrmn017 remaindernear 2.400 2 -> 0.400 ddrmn018 remaindernear 2. 2 -> 0 ddrmn019 remaindernear 20 20 -> 0 ddrmn020 remaindernear 187 187 -> 0 ddrmn021 remaindernear 5 2 -> 1 ddrmn022 remaindernear 5 2.0 -> 1.0 ddrmn023 remaindernear 5 2.000 -> 1.000 ddrmn024 remaindernear 5 0.200 -> 0.000 ddrmn025 remaindernear 5 0.200 -> 0.000 ddrmn030 remaindernear 1 2 -> 1 ddrmn031 remaindernear 1 4 -> 1 ddrmn032 remaindernear 1 8 -> 1 ddrmn033 remaindernear 1 16 -> 1 ddrmn034 remaindernear 1 32 -> 1 ddrmn035 remaindernear 1 64 -> 1 ddrmn040 remaindernear 1 -2 -> 1 ddrmn041 remaindernear 1 -4 -> 1 ddrmn042 remaindernear 1 -8 -> 1 ddrmn043 remaindernear 1 -16 -> 1 ddrmn044 remaindernear 1 -32 -> 1 ddrmn045 remaindernear 1 -64 -> 1 ddrmn050 remaindernear -1 2 -> -1 ddrmn051 remaindernear -1 4 -> -1 ddrmn052 remaindernear -1 8 -> -1 ddrmn053 remaindernear -1 16 -> -1 ddrmn054 remaindernear -1 32 -> -1 ddrmn055 remaindernear -1 64 -> -1 ddrmn060 remaindernear -1 -2 -> -1 ddrmn061 remaindernear -1 -4 -> -1 ddrmn062 remaindernear -1 -8 -> -1 ddrmn063 remaindernear -1 -16 -> -1 ddrmn064 remaindernear -1 -32 -> -1 ddrmn065 remaindernear -1 -64 -> -1 ddrmn066 remaindernear 9.9 1 -> -0.1 ddrmn067 remaindernear 99.7 1 -> -0.3 ddrmn068 remaindernear 999999999 1 -> 0 ddrmn069 remaindernear 999999999.4 1 -> 0.4 ddrmn070 remaindernear 999999999.5 1 -> -0.5 ddrmn071 remaindernear 999999999.9 1 -> -0.1 ddrmn072 remaindernear 999999999.999 1 -> -0.001 ddrmn073 remaindernear 999999.999999 1 -> -0.000001 ddrmn074 remaindernear 9 1 -> 0 ddrmn075 remaindernear 9999999999999999 1 -> 0 ddrmn076 remaindernear 9999999999999999 2 -> -1 ddrmn077 remaindernear 9999999999999999 3 -> 0 ddrmn078 remaindernear 9999999999999999 4 -> -1 ddrmn080 remaindernear 0. 1 -> 0 ddrmn081 remaindernear .0 1 -> 0.0 ddrmn082 remaindernear 0.00 1 -> 0.00 ddrmn083 remaindernear 0.00E+9 1 -> 0 ddrmn084 remaindernear 0.00E+3 1 -> 0 ddrmn085 remaindernear 0.00E+2 1 -> 0 ddrmn086 remaindernear 0.00E+1 1 -> 0.0 ddrmn087 remaindernear 0.00E+0 1 -> 0.00 ddrmn088 remaindernear 0.00E-0 1 -> 0.00 ddrmn089 remaindernear 0.00E-1 1 -> 0.000 ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54 -- Various flavours of remaindernear by 0 ddrmn101 remaindernear 0 0 -> NaN Division_undefined ddrmn102 remaindernear 0 -0 -> NaN Division_undefined ddrmn103 remaindernear -0 0 -> NaN Division_undefined ddrmn104 remaindernear -0 -0 -> NaN Division_undefined ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined ddrmn106 remaindernear 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] ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation ddrmn110 remaindernear 1 0 -> NaN Invalid_operation ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation -- and zeros on left ddrmn130 remaindernear 0 1 -> 0 ddrmn131 remaindernear 0 -1 -> 0 ddrmn132 remaindernear 0.0 1 -> 0.0 ddrmn133 remaindernear 0.0 -1 -> 0.0 ddrmn134 remaindernear -0 1 -> -0 ddrmn135 remaindernear -0 -1 -> -0 ddrmn136 remaindernear -0.0 1 -> -0.0 ddrmn137 remaindernear -0.0 -1 -> -0.0 -- 0.5ers ddrmn143 remaindernear 0.5 2 -> 0.5 ddrmn144 remaindernear 0.5 2.1 -> 0.5 ddrmn145 remaindernear 0.5 2.01 -> 0.50 ddrmn146 remaindernear 0.5 2.001 -> 0.500 ddrmn147 remaindernear 0.50 2 -> 0.50 ddrmn148 remaindernear 0.50 2.01 -> 0.50 ddrmn149 remaindernear 0.50 2.001 -> 0.500 -- steadies ddrmn150 remaindernear 1 1 -> 0 ddrmn151 remaindernear 1 2 -> 1 ddrmn152 remaindernear 1 3 -> 1 ddrmn153 remaindernear 1 4 -> 1 ddrmn154 remaindernear 1 5 -> 1 ddrmn155 remaindernear 1 6 -> 1 ddrmn156 remaindernear 1 7 -> 1 ddrmn157 remaindernear 1 8 -> 1 ddrmn158 remaindernear 1 9 -> 1 ddrmn159 remaindernear 1 10 -> 1 ddrmn160 remaindernear 1 1 -> 0 ddrmn161 remaindernear 2 1 -> 0 ddrmn162 remaindernear 3 1 -> 0 ddrmn163 remaindernear 4 1 -> 0 ddrmn164 remaindernear 5 1 -> 0 ddrmn165 remaindernear 6 1 -> 0 ddrmn166 remaindernear 7 1 -> 0 ddrmn167 remaindernear 8 1 -> 0 ddrmn168 remaindernear 9 1 -> 0 ddrmn169 remaindernear 10 1 -> 0 -- some differences from remainder ddrmn171 remaindernear 0.4 1.020 -> 0.400 ddrmn172 remaindernear 0.50 1.020 -> 0.500 ddrmn173 remaindernear 0.51 1.020 -> 0.510 ddrmn174 remaindernear 0.52 1.020 -> -0.500 ddrmn175 remaindernear 0.6 1.020 -> -0.420 -- More flavours of remaindernear by 0 ddrmn201 remaindernear 0 0 -> NaN Division_undefined ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation ddrmn207 remaindernear 1 0 -> NaN Invalid_operation ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation -- tests from the extended specification ddrmn221 remaindernear 2.1 3 -> -0.9 ddrmn222 remaindernear 10 6 -> -2 ddrmn223 remaindernear 10 3 -> 1 ddrmn224 remaindernear -10 3 -> -1 ddrmn225 remaindernear 10.2 1 -> 0.2 ddrmn226 remaindernear 10 0.3 -> 0.1 ddrmn227 remaindernear 3.6 1.3 -> -0.3 -- some differences from remainder ddrmn231 remaindernear -0.4 1.020 -> -0.400 ddrmn232 remaindernear -0.50 1.020 -> -0.500 ddrmn233 remaindernear -0.51 1.020 -> -0.510 ddrmn234 remaindernear -0.52 1.020 -> 0.500 ddrmn235 remaindernear -0.6 1.020 -> 0.420 -- high Xs ddrmn240 remaindernear 1E+2 1.00 -> 0.00 -- ddrmn3xx are from DiagBigDecimal ddrmn301 remaindernear 1 3 -> 1 ddrmn302 remaindernear 5 5 -> 0 ddrmn303 remaindernear 13 10 -> 3 ddrmn304 remaindernear 13 50 -> 13 ddrmn305 remaindernear 13 100 -> 13 ddrmn306 remaindernear 13 1000 -> 13 ddrmn307 remaindernear .13 1 -> 0.13 ddrmn308 remaindernear 0.133 1 -> 0.133 ddrmn309 remaindernear 0.1033 1 -> 0.1033 ddrmn310 remaindernear 1.033 1 -> 0.033 ddrmn311 remaindernear 10.33 1 -> 0.33 ddrmn312 remaindernear 10.33 10 -> 0.33 ddrmn313 remaindernear 103.3 1 -> 0.3 ddrmn314 remaindernear 133 10 -> 3 ddrmn315 remaindernear 1033 10 -> 3 ddrmn316 remaindernear 1033 50 -> -17 ddrmn317 remaindernear 101.0 3 -> -1.0 ddrmn318 remaindernear 102.0 3 -> 0.0 ddrmn319 remaindernear 103.0 3 -> 1.0 ddrmn320 remaindernear 2.40 1 -> 0.40 ddrmn321 remaindernear 2.400 1 -> 0.400 ddrmn322 remaindernear 2.4 1 -> 0.4 ddrmn323 remaindernear 2.4 2 -> 0.4 ddrmn324 remaindernear 2.400 2 -> 0.400 ddrmn325 remaindernear 1 0.3 -> 0.1 ddrmn326 remaindernear 1 0.30 -> 0.10 ddrmn327 remaindernear 1 0.300 -> 0.100 ddrmn328 remaindernear 1 0.3000 -> 0.1000 ddrmn329 remaindernear 1.0 0.3 -> 0.1 ddrmn330 remaindernear 1.00 0.3 -> 0.10 ddrmn331 remaindernear 1.000 0.3 -> 0.100 ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 ddrmn333 remaindernear 0.5 2 -> 0.5 ddrmn334 remaindernear 0.5 2.1 -> 0.5 ddrmn335 remaindernear 0.5 2.01 -> 0.50 ddrmn336 remaindernear 0.5 2.001 -> 0.500 ddrmn337 remaindernear 0.50 2 -> 0.50 ddrmn338 remaindernear 0.50 2.01 -> 0.50 ddrmn339 remaindernear 0.50 2.001 -> 0.500 ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 ddrmn351 remaindernear 0.03 7 -> 0.03 ddrmn352 remaindernear 5 2 -> 1 ddrmn353 remaindernear 4.1 2 -> 0.1 ddrmn354 remaindernear 4.01 2 -> 0.01 ddrmn355 remaindernear 4.001 2 -> 0.001 ddrmn356 remaindernear 4.0001 2 -> 0.0001 ddrmn357 remaindernear 4.00001 2 -> 0.00001 ddrmn358 remaindernear 4.000001 2 -> 0.000001 ddrmn359 remaindernear 4.0000001 2 -> 1E-7 ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 ddrmn361 remaindernear 0.8 12 -> 0.8 ddrmn362 remaindernear 0.8 0.2 -> 0.0 ddrmn363 remaindernear 0.8 0.3 -> -0.1 ddrmn364 remaindernear 0.800 12 -> 0.800 ddrmn365 remaindernear 0.800 1.7 -> 0.800 ddrmn366 remaindernear 2.400 2 -> 0.400 -- round to even ddrmn371 remaindernear 121 2 -> 1 ddrmn372 remaindernear 122 2 -> 0 ddrmn373 remaindernear 123 2 -> -1 ddrmn374 remaindernear 124 2 -> 0 ddrmn375 remaindernear 125 2 -> 1 ddrmn376 remaindernear 126 2 -> 0 ddrmn377 remaindernear 127 2 -> -1 ddrmn381 remaindernear 12345 1 -> 0 ddrmn382 remaindernear 12345 1.0001 -> -0.2344 ddrmn383 remaindernear 12345 1.001 -> -0.333 ddrmn384 remaindernear 12345 1.01 -> -0.23 ddrmn385 remaindernear 12345 1.1 -> -0.3 ddrmn386 remaindernear 12355 4 -> -1 ddrmn387 remaindernear 12345 4 -> 1 ddrmn388 remaindernear 12355 4.0001 -> -1.3089 ddrmn389 remaindernear 12345 4.0001 -> 0.6914 ddrmn390 remaindernear 12345 4.9 -> 1.9 ddrmn391 remaindernear 12345 4.99 -> -0.26 ddrmn392 remaindernear 12345 4.999 -> 2.469 ddrmn393 remaindernear 12345 4.9999 -> 0.2469 ddrmn394 remaindernear 12345 5 -> 0 ddrmn395 remaindernear 12345 5.0001 -> -0.2469 ddrmn396 remaindernear 12345 5.001 -> -2.469 ddrmn397 remaindernear 12345 5.01 -> 0.36 ddrmn398 remaindernear 12345 5.1 -> -2.1 -- the nasty division-by-1 cases ddrmn401 remaindernear 0.4 1 -> 0.4 ddrmn402 remaindernear 0.45 1 -> 0.45 ddrmn403 remaindernear 0.455 1 -> 0.455 ddrmn404 remaindernear 0.4555 1 -> 0.4555 ddrmn405 remaindernear 0.45555 1 -> 0.45555 ddrmn406 remaindernear 0.455555 1 -> 0.455555 ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 -- with spill... [412 exercises sticktab loop] ddrmn411 remaindernear 0.5 1 -> 0.5 ddrmn412 remaindernear 0.55 1 -> -0.45 ddrmn413 remaindernear 0.555 1 -> -0.445 ddrmn414 remaindernear 0.5555 1 -> -0.4445 ddrmn415 remaindernear 0.55555 1 -> -0.44445 ddrmn416 remaindernear 0.555555 1 -> -0.444445 ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 -- folddowns ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped -- tinies ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal -- zero signs ddrmn650 remaindernear 1 1 -> 0 ddrmn651 remaindernear -1 1 -> -0 ddrmn652 remaindernear 1 -1 -> 0 ddrmn653 remaindernear -1 -1 -> -0 ddrmn654 remaindernear 0 1 -> 0 ddrmn655 remaindernear -0 1 -> -0 ddrmn656 remaindernear 0 -1 -> 0 ddrmn657 remaindernear -0 -1 -> -0 ddrmn658 remaindernear 0.00 1 -> 0.00 ddrmn659 remaindernear -0.00 1 -> -0.00 -- Specials ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation ddrmn688 remaindernear -1000 Inf -> -1000 ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation ddrmn691 remaindernear -1 Inf -> -1 ddrmn692 remaindernear 0 Inf -> 0 ddrmn693 remaindernear -0 Inf -> -0 ddrmn694 remaindernear 1 Inf -> 1 ddrmn695 remaindernear 1000 Inf -> 1000 ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation ddrmn709 remaindernear -1000 Inf -> -1000 ddrmn710 remaindernear -1 -Inf -> -1 ddrmn711 remaindernear -0 -Inf -> -0 ddrmn712 remaindernear 0 -Inf -> 0 ddrmn713 remaindernear 1 -Inf -> 1 ddrmn714 remaindernear 1000 -Inf -> 1000 ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation ddrmn721 remaindernear NaN -Inf -> NaN ddrmn722 remaindernear NaN -1000 -> NaN ddrmn723 remaindernear NaN -1 -> NaN ddrmn724 remaindernear NaN -0 -> NaN ddrmn725 remaindernear -NaN 0 -> -NaN ddrmn726 remaindernear NaN 1 -> NaN ddrmn727 remaindernear NaN 1000 -> NaN ddrmn728 remaindernear NaN Inf -> NaN ddrmn729 remaindernear NaN -NaN -> NaN ddrmn730 remaindernear -Inf NaN -> NaN ddrmn731 remaindernear -1000 NaN -> NaN ddrmn732 remaindernear -1 NaN -> NaN ddrmn733 remaindernear -0 -NaN -> -NaN ddrmn734 remaindernear 0 NaN -> NaN ddrmn735 remaindernear 1 -NaN -> -NaN ddrmn736 remaindernear 1000 NaN -> NaN ddrmn737 remaindernear Inf NaN -> NaN ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation -- propaging NaNs ddrmn760 remaindernear NaN1 NaN7 -> NaN1 ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation ddrmn764 remaindernear 15 NaN11 -> NaN11 ddrmn765 remaindernear NaN6 NaN12 -> NaN6 ddrmn766 remaindernear Inf NaN13 -> NaN13 ddrmn767 remaindernear NaN14 -Inf -> NaN14 ddrmn768 remaindernear 0 NaN15 -> NaN15 ddrmn769 remaindernear NaN16 -0 -> NaN16 -- edge cases of impossible ddrmn770 remaindernear 1234567890123456 10 -> -4 ddrmn771 remaindernear 1234567890123456 1 -> 0 ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible -- long operand checks ddrmn801 remaindernear 12345678000 100 -> 0 ddrmn802 remaindernear 1 12345678000 -> 1 ddrmn803 remaindernear 1234567800 10 -> 0 ddrmn804 remaindernear 1 1234567800 -> 1 ddrmn805 remaindernear 1234567890 10 -> 0 ddrmn806 remaindernear 1 1234567890 -> 1 ddrmn807 remaindernear 1234567891 10 -> 1 ddrmn808 remaindernear 1 1234567891 -> 1 ddrmn809 remaindernear 12345678901 100 -> 1 ddrmn810 remaindernear 1 12345678901 -> 1 ddrmn811 remaindernear 1234567896 10 -> -4 ddrmn812 remaindernear 1 1234567896 -> 1 ddrmn821 remaindernear 12345678000 100 -> 0 ddrmn822 remaindernear 1 12345678000 -> 1 ddrmn823 remaindernear 1234567800 10 -> 0 ddrmn824 remaindernear 1 1234567800 -> 1 ddrmn825 remaindernear 1234567890 10 -> 0 ddrmn826 remaindernear 1 1234567890 -> 1 ddrmn827 remaindernear 1234567891 10 -> 1 ddrmn828 remaindernear 1 1234567891 -> 1 ddrmn829 remaindernear 12345678901 100 -> 1 ddrmn830 remaindernear 1 12345678901 -> 1 ddrmn831 remaindernear 1234567896 10 -> -4 ddrmn832 remaindernear 1 1234567896 -> 1 -- from divideint ddrmn840 remaindernear 100000000.0 1 -> 0.0 ddrmn841 remaindernear 100000000.4 1 -> 0.4 ddrmn842 remaindernear 100000000.5 1 -> 0.5 ddrmn843 remaindernear 100000000.9 1 -> -0.1 ddrmn844 remaindernear 100000000.999 1 -> -0.001 ddrmn850 remaindernear 100000003 5 -> -2 ddrmn851 remaindernear 10000003 5 -> -2 ddrmn852 remaindernear 1000003 5 -> -2 ddrmn853 remaindernear 100003 5 -> -2 ddrmn854 remaindernear 10003 5 -> -2 ddrmn855 remaindernear 1003 5 -> -2 ddrmn856 remaindernear 103 5 -> -2 ddrmn857 remaindernear 13 5 -> -2 ddrmn858 remaindernear 1 5 -> 1 -- Vladimir's cases 1234567890123456 ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 ddrmn861 remaindernear 1230 1000000000000000 -> 1230 ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 ddrmn871 remaindernear 123e1 100000000000000 -> 1230 ddrmn872 remaindernear 123e1 10000000000000 -> 1230 ddrmn873 remaindernear 123e1 1000000000000 -> 1230 ddrmn874 remaindernear 123e1 100000000000 -> 1230 ddrmn875 remaindernear 123e1 10000000000 -> 1230 ddrmn876 remaindernear 123e1 1000000000 -> 1230 ddrmn877 remaindernear 123e1 100000000 -> 1230 ddrmn878 remaindernear 1230 100000000 -> 1230 ddrmn879 remaindernear 123e1 10000000 -> 1230 ddrmn880 remaindernear 123e1 1000000 -> 1230 ddrmn881 remaindernear 123e1 100000 -> 1230 ddrmn882 remaindernear 123e1 10000 -> 1230 ddrmn883 remaindernear 123e1 1000 -> 230 ddrmn884 remaindernear 123e1 100 -> 30 ddrmn885 remaindernear 123e1 10 -> 0 ddrmn886 remaindernear 123e1 1 -> 0 ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 ddrmn891 remaindernear 123e1 200000000000000 -> 1230 ddrmn892 remaindernear 123e1 20000000000000 -> 1230 ddrmn893 remaindernear 123e1 2000000000000 -> 1230 ddrmn894 remaindernear 123e1 200000000000 -> 1230 ddrmn895 remaindernear 123e1 20000000000 -> 1230 ddrmn896 remaindernear 123e1 2000000000 -> 1230 ddrmn897 remaindernear 123e1 200000000 -> 1230 ddrmn899 remaindernear 123e1 20000000 -> 1230 ddrmn900 remaindernear 123e1 2000000 -> 1230 ddrmn901 remaindernear 123e1 200000 -> 1230 ddrmn902 remaindernear 123e1 20000 -> 1230 ddrmn903 remaindernear 123e1 2000 -> -770 ddrmn904 remaindernear 123e1 200 -> 30 ddrmn905 remaindernear 123e1 20 -> -10 ddrmn906 remaindernear 123e1 2 -> 0 ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 ddrmn911 remaindernear 123e1 500000000000000 -> 1230 ddrmn912 remaindernear 123e1 50000000000000 -> 1230 ddrmn913 remaindernear 123e1 5000000000000 -> 1230 ddrmn914 remaindernear 123e1 500000000000 -> 1230 ddrmn915 remaindernear 123e1 50000000000 -> 1230 ddrmn916 remaindernear 123e1 5000000000 -> 1230 ddrmn917 remaindernear 123e1 500000000 -> 1230 ddrmn919 remaindernear 123e1 50000000 -> 1230 ddrmn920 remaindernear 123e1 5000000 -> 1230 ddrmn921 remaindernear 123e1 500000 -> 1230 ddrmn922 remaindernear 123e1 50000 -> 1230 ddrmn923 remaindernear 123e1 5000 -> 1230 ddrmn924 remaindernear 123e1 500 -> 230 ddrmn925 remaindernear 123e1 50 -> -20 ddrmn926 remaindernear 123e1 5 -> 0 ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 ddrmn931 remaindernear 123e1 900000000000000 -> 1230 ddrmn932 remaindernear 123e1 90000000000000 -> 1230 ddrmn933 remaindernear 123e1 9000000000000 -> 1230 ddrmn934 remaindernear 123e1 900000000000 -> 1230 ddrmn935 remaindernear 123e1 90000000000 -> 1230 ddrmn936 remaindernear 123e1 9000000000 -> 1230 ddrmn937 remaindernear 123e1 900000000 -> 1230 ddrmn939 remaindernear 123e1 90000000 -> 1230 ddrmn940 remaindernear 123e1 9000000 -> 1230 ddrmn941 remaindernear 123e1 900000 -> 1230 ddrmn942 remaindernear 123e1 90000 -> 1230 ddrmn943 remaindernear 123e1 9000 -> 1230 ddrmn944 remaindernear 123e1 900 -> 330 ddrmn945 remaindernear 123e1 90 -> -30 ddrmn946 remaindernear 123e1 9 -> -3 ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally -- overflow and underflow tests [from divide] ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 -- destructive subtract ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 -- Null tests ddrmn1000 remaindernear 10 # -> NaN Invalid_operation ddrmn1001 remaindernear # 10 -> NaN Invalid_operation