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------------------------------------------------------------------------ -- minmag.decTest -- decimal minimum by magnitude -- -- 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 -- we assume that base comparison is tested in compare.decTest, so -- these mainly cover special cases and rounding extended: 1 precision: 9 rounding: half_up maxExponent: 384 minexponent: -383 -- sanity checks mngx001 minmag -2 -2 -> -2 mngx002 minmag -2 -1 -> -1 mngx003 minmag -2 0 -> 0 mngx004 minmag -2 1 -> 1 mngx005 minmag -2 2 -> -2 mngx006 minmag -1 -2 -> -1 mngx007 minmag -1 -1 -> -1 mngx008 minmag -1 0 -> 0 mngx009 minmag -1 1 -> -1 mngx010 minmag -1 2 -> -1 mngx011 minmag 0 -2 -> 0 mngx012 minmag 0 -1 -> 0 mngx013 minmag 0 0 -> 0 mngx014 minmag 0 1 -> 0 mngx015 minmag 0 2 -> 0 mngx016 minmag 1 -2 -> 1 mngx017 minmag 1 -1 -> -1 mngx018 minmag 1 0 -> 0 mngx019 minmag 1 1 -> 1 mngx020 minmag 1 2 -> 1 mngx021 minmag 2 -2 -> -2 mngx022 minmag 2 -1 -> -1 mngx023 minmag 2 0 -> 0 mngx025 minmag 2 1 -> 1 mngx026 minmag 2 2 -> 2 -- extended zeros mngx030 minmag 0 0 -> 0 mngx031 minmag 0 -0 -> -0 mngx032 minmag 0 -0.0 -> -0.0 mngx033 minmag 0 0.0 -> 0.0 mngx034 minmag -0 0 -> -0 mngx035 minmag -0 -0 -> -0 mngx036 minmag -0 -0.0 -> -0 mngx037 minmag -0 0.0 -> -0 mngx038 minmag 0.0 0 -> 0.0 mngx039 minmag 0.0 -0 -> -0 mngx040 minmag 0.0 -0.0 -> -0.0 mngx041 minmag 0.0 0.0 -> 0.0 mngx042 minmag -0.0 0 -> -0.0 mngx043 minmag -0.0 -0 -> -0 mngx044 minmag -0.0 -0.0 -> -0.0 mngx045 minmag -0.0 0.0 -> -0.0 mngx046 minmag 0E1 -0E1 -> -0E+1 mngx047 minmag -0E1 0E2 -> -0E+1 mngx048 minmag 0E2 0E1 -> 0E+1 mngx049 minmag 0E1 0E2 -> 0E+1 mngx050 minmag -0E3 -0E2 -> -0E+3 mngx051 minmag -0E2 -0E3 -> -0E+3 -- Specials precision: 9 mngx090 minmag Inf -Inf -> -Infinity mngx091 minmag Inf -1000 -> -1000 mngx092 minmag Inf -1 -> -1 mngx093 minmag Inf -0 -> -0 mngx094 minmag Inf 0 -> 0 mngx095 minmag Inf 1 -> 1 mngx096 minmag Inf 1000 -> 1000 mngx097 minmag Inf Inf -> Infinity mngx098 minmag -1000 Inf -> -1000 mngx099 minmag -Inf Inf -> -Infinity mngx100 minmag -1 Inf -> -1 mngx101 minmag -0 Inf -> -0 mngx102 minmag 0 Inf -> 0 mngx103 minmag 1 Inf -> 1 mngx104 minmag 1000 Inf -> 1000 mngx105 minmag Inf Inf -> Infinity mngx120 minmag -Inf -Inf -> -Infinity mngx121 minmag -Inf -1000 -> -1000 mngx122 minmag -Inf -1 -> -1 mngx123 minmag -Inf -0 -> -0 mngx124 minmag -Inf 0 -> 0 mngx125 minmag -Inf 1 -> 1 mngx126 minmag -Inf 1000 -> 1000 mngx127 minmag -Inf Inf -> -Infinity mngx128 minmag -Inf -Inf -> -Infinity mngx129 minmag -1000 -Inf -> -1000 mngx130 minmag -1 -Inf -> -1 mngx131 minmag -0 -Inf -> -0 mngx132 minmag 0 -Inf -> 0 mngx133 minmag 1 -Inf -> 1 mngx134 minmag 1000 -Inf -> 1000 mngx135 minmag Inf -Inf -> -Infinity -- 2004.08.02 754r chooses number over NaN in mixed cases mngx141 minmag NaN -Inf -> -Infinity mngx142 minmag NaN -1000 -> -1000 mngx143 minmag NaN -1 -> -1 mngx144 minmag NaN -0 -> -0 mngx145 minmag NaN 0 -> 0 mngx146 minmag NaN 1 -> 1 mngx147 minmag NaN 1000 -> 1000 mngx148 minmag NaN Inf -> Infinity mngx149 minmag NaN NaN -> NaN mngx150 minmag -Inf NaN -> -Infinity mngx151 minmag -1000 NaN -> -1000 mngx152 minmag -1 -NaN -> -1 mngx153 minmag -0 NaN -> -0 mngx154 minmag 0 -NaN -> 0 mngx155 minmag 1 NaN -> 1 mngx156 minmag 1000 NaN -> 1000 mngx157 minmag Inf NaN -> Infinity mngx161 minmag sNaN -Inf -> NaN Invalid_operation mngx162 minmag sNaN -1000 -> NaN Invalid_operation mngx163 minmag sNaN -1 -> NaN Invalid_operation mngx164 minmag sNaN -0 -> NaN Invalid_operation mngx165 minmag -sNaN 0 -> -NaN Invalid_operation mngx166 minmag -sNaN 1 -> -NaN Invalid_operation mngx167 minmag sNaN 1000 -> NaN Invalid_operation mngx168 minmag sNaN NaN -> NaN Invalid_operation mngx169 minmag sNaN sNaN -> NaN Invalid_operation mngx170 minmag NaN sNaN -> NaN Invalid_operation mngx171 minmag -Inf sNaN -> NaN Invalid_operation mngx172 minmag -1000 sNaN -> NaN Invalid_operation mngx173 minmag -1 sNaN -> NaN Invalid_operation mngx174 minmag -0 sNaN -> NaN Invalid_operation mngx175 minmag 0 sNaN -> NaN Invalid_operation mngx176 minmag 1 sNaN -> NaN Invalid_operation mngx177 minmag 1000 sNaN -> NaN Invalid_operation mngx178 minmag Inf sNaN -> NaN Invalid_operation mngx179 minmag NaN sNaN -> NaN Invalid_operation -- propagating NaNs mngx181 minmag NaN9 -Inf -> -Infinity mngx182 minmag -NaN8 9990 -> 9990 mngx183 minmag NaN71 Inf -> Infinity mngx184 minmag NaN1 NaN54 -> NaN1 mngx185 minmag NaN22 -NaN53 -> NaN22 mngx186 minmag -NaN3 NaN6 -> -NaN3 mngx187 minmag -NaN44 NaN7 -> -NaN44 mngx188 minmag -Inf NaN41 -> -Infinity mngx189 minmag -9999 -NaN33 -> -9999 mngx190 minmag Inf NaN2 -> Infinity mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation -- rounding checks -- chosen is rounded, or not maxExponent: 999 minexponent: -999 precision: 9 mngx201 minmag -12345678000 1 -> 1 mngx202 minmag 1 -12345678000 -> 1 mngx203 minmag -1234567800 1 -> 1 mngx204 minmag 1 -1234567800 -> 1 mngx205 minmag -1234567890 1 -> 1 mngx206 minmag 1 -1234567890 -> 1 mngx207 minmag -1234567891 1 -> 1 mngx208 minmag 1 -1234567891 -> 1 mngx209 minmag -12345678901 1 -> 1 mngx210 minmag 1 -12345678901 -> 1 mngx211 minmag -1234567896 1 -> 1 mngx212 minmag 1 -1234567896 -> 1 mngx213 minmag 1234567891 1 -> 1 mngx214 minmag 1 1234567891 -> 1 mngx215 minmag 12345678901 1 -> 1 mngx216 minmag 1 12345678901 -> 1 mngx217 minmag 1234567896 1 -> 1 mngx218 minmag 1 1234567896 -> 1 precision: 15 mngx221 minmag -12345678000 1 -> 1 mngx222 minmag 1 -12345678000 -> 1 mngx223 minmag -1234567800 1 -> 1 mngx224 minmag 1 -1234567800 -> 1 mngx225 minmag -1234567890 1 -> 1 mngx226 minmag 1 -1234567890 -> 1 mngx227 minmag -1234567891 1 -> 1 mngx228 minmag 1 -1234567891 -> 1 mngx229 minmag -12345678901 1 -> 1 mngx230 minmag 1 -12345678901 -> 1 mngx231 minmag -1234567896 1 -> 1 mngx232 minmag 1 -1234567896 -> 1 mngx233 minmag 1234567891 1 -> 1 mngx234 minmag 1 1234567891 -> 1 mngx235 minmag 12345678901 1 -> 1 mngx236 minmag 1 12345678901 -> 1 mngx237 minmag 1234567896 1 -> 1 mngx238 minmag 1 1234567896 -> 1 -- from examples mngx280 minmag '3' '2' -> '2' mngx281 minmag '-10' '3' -> '3' mngx282 minmag '1.0' '1' -> '1.0' mngx283 minmag '1' '1.0' -> '1.0' mngx284 minmag '7' 'NaN' -> '7' -- overflow and underflow tests .. subnormal results [inputs] now allowed maxExponent: 999999999 minexponent: -999999999 mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345 mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345 mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999 mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999 mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345 mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345 mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999 mngx338 minmag -9E-999999999 0.100 -> -9E-999999999 mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999 mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999 mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000 mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998 mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998 mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998 mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001 mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000 mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000 mngx348 minmag -9e999999998 -100 -> -100 mngx349 minmag -9e999999998 -10 -> -10 mngx350 minmag -100 -9e999999998 -> -100 -- signs mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111 mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111 mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111 mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111 mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777 mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777 mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777 mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777 -- expanded list from min/max 754r purple prose -- [explicit tests for exponent ordering] mngx401 minmag Inf 1.1 -> 1.1 mngx402 minmag 1.1 1 -> 1 mngx403 minmag 1 1.0 -> 1.0 mngx404 minmag 1.0 0.1 -> 0.1 mngx405 minmag 0.1 0.10 -> 0.10 mngx406 minmag 0.10 0.100 -> 0.100 mngx407 minmag 0.10 0 -> 0 mngx408 minmag 0 0.0 -> 0.0 mngx409 minmag 0.0 -0 -> -0 mngx410 minmag 0.0 -0.0 -> -0.0 mngx411 minmag 0.00 -0.0 -> -0.0 mngx412 minmag 0.0 -0.00 -> -0.00 mngx413 minmag 0 -0.0 -> -0.0 mngx414 minmag 0 -0 -> -0 mngx415 minmag -0.0 -0 -> -0 mngx416 minmag -0 -0.100 -> -0 mngx417 minmag -0.100 -0.10 -> -0.10 mngx418 minmag -0.10 -0.1 -> -0.1 mngx419 minmag -0.1 -1.0 -> -0.1 mngx420 minmag -1.0 -1 -> -1 mngx421 minmag -1 -1.1 -> -1 mngx423 minmag -1.1 -Inf -> -1.1 -- same with operands reversed mngx431 minmag 1.1 Inf -> 1.1 mngx432 minmag 1 1.1 -> 1 mngx433 minmag 1.0 1 -> 1.0 mngx434 minmag 0.1 1.0 -> 0.1 mngx435 minmag 0.10 0.1 -> 0.10 mngx436 minmag 0.100 0.10 -> 0.100 mngx437 minmag 0 0.10 -> 0 mngx438 minmag 0.0 0 -> 0.0 mngx439 minmag -0 0.0 -> -0 mngx440 minmag -0.0 0.0 -> -0.0 mngx441 minmag -0.0 0.00 -> -0.0 mngx442 minmag -0.00 0.0 -> -0.00 mngx443 minmag -0.0 0 -> -0.0 mngx444 minmag -0 0 -> -0 mngx445 minmag -0 -0.0 -> -0 mngx446 minmag -0.100 -0 -> -0 mngx447 minmag -0.10 -0.100 -> -0.10 mngx448 minmag -0.1 -0.10 -> -0.1 mngx449 minmag -1.0 -0.1 -> -0.1 mngx450 minmag -1 -1.0 -> -1 mngx451 minmag -1.1 -1 -> -1 mngx453 minmag -Inf -1.1 -> -1.1 -- largies mngx460 minmag 1000 1E+3 -> 1000 mngx461 minmag 1E+3 1000 -> 1000 mngx462 minmag 1000 -1E+3 -> -1E+3 mngx463 minmag 1E+3 -1000 -> -1000 mngx464 minmag -1000 1E+3 -> -1000 mngx465 minmag -1E+3 1000 -> -1E+3 mngx466 minmag -1000 -1E+3 -> -1E+3 mngx467 minmag -1E+3 -1000 -> -1E+3 -- rounding (results treated as though plus) maxexponent: 999999999 minexponent: -999999999 precision: 3 mngx470 minmag 1 5 -> 1 mngx471 minmag 10 50 -> 10 mngx472 minmag 100 500 -> 100 mngx473 minmag 1000 5000 -> 1.00E+3 Rounded mngx474 minmag 10000 50000 -> 1.00E+4 Rounded mngx475 minmag 6 50 -> 6 mngx476 minmag 66 500 -> 66 mngx477 minmag 666 5000 -> 666 mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact mngx481 minmag 75401 1 -> 1 mngx482 minmag 75402 10 -> 10 mngx483 minmag 75403 100 -> 100 mngx484 minmag 75404 1000 -> 1.00E+3 Rounded mngx485 minmag 75405 10000 -> 1.00E+4 Rounded mngx486 minmag 75406 6 -> 6 mngx487 minmag 75407 66 -> 66 mngx488 minmag 75408 666 -> 666 mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact -- overflow tests maxexponent: 999999999 minexponent: -999999999 precision: 3 mngx500 minmag 9.999E+999999999 0 -> 0 mngx501 minmag -9.999E+999999999 0 -> 0 -- subnormals and underflow precision: 3 maxexponent: 999 minexponent: -999 mngx510 minmag 1.00E-999 0 -> 0 mngx511 minmag 0.1E-999 0 -> 0 mngx512 minmag 0.10E-999 0 -> 0 mngx513 minmag 0.100E-999 0 -> 0 mngx514 minmag 0.01E-999 0 -> 0 mngx515 minmag 0.999E-999 0 -> 0 mngx516 minmag 0.099E-999 0 -> 0 mngx517 minmag 0.009E-999 0 -> 0 mngx518 minmag 0.001E-999 0 -> 0 mngx519 minmag 0.0009E-999 0 -> 0 mngx520 minmag 0.0001E-999 0 -> 0 mngx530 minmag -1.00E-999 0 -> 0 mngx531 minmag -0.1E-999 0 -> 0 mngx532 minmag -0.10E-999 0 -> 0 mngx533 minmag -0.100E-999 0 -> 0 mngx534 minmag -0.01E-999 0 -> 0 mngx535 minmag -0.999E-999 0 -> 0 mngx536 minmag -0.099E-999 0 -> 0 mngx537 minmag -0.009E-999 0 -> 0 mngx538 minmag -0.001E-999 0 -> 0 mngx539 minmag -0.0009E-999 0 -> 0 mngx540 minmag -0.0001E-999 0 -> 0 -- Null tests mng900 minmag 10 # -> NaN Invalid_operation mng901 minmag # 10 -> NaN Invalid_operation