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------------------------------------------------------------------------ -- dqEncode.decTest -- decimal sixteen-byte format testcases -- -- Copyright (c) IBM Corporation, 2000, 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 -- ------------------------------------------------------------------------ -- [Previously called decimal128.decTest] version: 2.59 -- This set of tests is for the sixteen-byte concrete representation. -- Its characteristics are: -- -- 1 bit sign -- 5 bits combination field -- 12 bits exponent continuation -- 110 bits coefficient continuation -- -- Total exponent length 14 bits -- Total coefficient length 114 bits (34 digits) -- -- Elimit = 12287 (maximum encoded exponent) -- Emax = 6144 (largest exponent value) -- Emin = -6143 (smallest exponent value) -- bias = 6176 (subtracted from encoded exponent) = -Etiny -- The testcases here have only exactly representable data on the -- 'left-hand-side'; rounding from strings is tested in 'base' -- testcase groups. extended: 1 clamp: 1 precision: 34 rounding: half_up maxExponent: 6144 minExponent: -6143 -- General testcases -- (mostly derived from the Strawman 4 document and examples) decq001 apply #A20780000000000000000000000003D0 -> -7.50 decq002 apply -7.50 -> #A20780000000000000000000000003D0 -- derivative canonical plain strings decq003 apply #A20840000000000000000000000003D0 -> -7.50E+3 decq004 apply -7.50E+3 -> #A20840000000000000000000000003D0 decq005 apply #A20800000000000000000000000003D0 -> -750 decq006 apply -750 -> #A20800000000000000000000000003D0 decq007 apply #A207c0000000000000000000000003D0 -> -75.0 decq008 apply -75.0 -> #A207c0000000000000000000000003D0 decq009 apply #A20740000000000000000000000003D0 -> -0.750 decq010 apply -0.750 -> #A20740000000000000000000000003D0 decq011 apply #A20700000000000000000000000003D0 -> -0.0750 decq012 apply -0.0750 -> #A20700000000000000000000000003D0 decq013 apply #A20680000000000000000000000003D0 -> -0.000750 decq014 apply -0.000750 -> #A20680000000000000000000000003D0 decq015 apply #A20600000000000000000000000003D0 -> -0.00000750 decq016 apply -0.00000750 -> #A20600000000000000000000000003D0 decq017 apply #A205c0000000000000000000000003D0 -> -7.50E-7 decq018 apply -7.50E-7 -> #A205c0000000000000000000000003D0 -- Normality decq020 apply 1234567890123456789012345678901234 -> #2608134b9c1e28e56f3c127177823534 decq021 apply -1234567890123456789012345678901234 -> #a608134b9c1e28e56f3c127177823534 decq022 apply 1111111111111111111111111111111111 -> #26080912449124491244912449124491 -- Nmax and similar decq031 apply 9.999999999999999999999999999999999E+6144 -> #77ffcff3fcff3fcff3fcff3fcff3fcff decq032 apply #77ffcff3fcff3fcff3fcff3fcff3fcff -> 9.999999999999999999999999999999999E+6144 decq033 apply 1.234567890123456789012345678901234E+6144 -> #47ffd34b9c1e28e56f3c127177823534 decq034 apply #47ffd34b9c1e28e56f3c127177823534 -> 1.234567890123456789012345678901234E+6144 -- fold-downs (more below) decq035 apply 1.23E+6144 -> #47ffd300000000000000000000000000 Clamped decq036 apply #47ffd300000000000000000000000000 -> 1.230000000000000000000000000000000E+6144 decq037 apply 1E+6144 -> #47ffc000000000000000000000000000 Clamped decq038 apply #47ffc000000000000000000000000000 -> 1.000000000000000000000000000000000E+6144 decq051 apply 12345 -> #220800000000000000000000000049c5 decq052 apply #220800000000000000000000000049c5 -> 12345 decq053 apply 1234 -> #22080000000000000000000000000534 decq054 apply #22080000000000000000000000000534 -> 1234 decq055 apply 123 -> #220800000000000000000000000000a3 decq056 apply #220800000000000000000000000000a3 -> 123 decq057 apply 12 -> #22080000000000000000000000000012 decq058 apply #22080000000000000000000000000012 -> 12 decq059 apply 1 -> #22080000000000000000000000000001 decq060 apply #22080000000000000000000000000001 -> 1 decq061 apply 1.23 -> #220780000000000000000000000000a3 decq062 apply #220780000000000000000000000000a3 -> 1.23 decq063 apply 123.45 -> #220780000000000000000000000049c5 decq064 apply #220780000000000000000000000049c5 -> 123.45 -- Nmin and below decq071 apply 1E-6143 -> #00084000000000000000000000000001 decq072 apply #00084000000000000000000000000001 -> 1E-6143 decq073 apply 1.000000000000000000000000000000000E-6143 -> #04000000000000000000000000000000 decq074 apply #04000000000000000000000000000000 -> 1.000000000000000000000000000000000E-6143 decq075 apply 1.000000000000000000000000000000001E-6143 -> #04000000000000000000000000000001 decq076 apply #04000000000000000000000000000001 -> 1.000000000000000000000000000000001E-6143 decq077 apply 0.100000000000000000000000000000000E-6143 -> #00000800000000000000000000000000 Subnormal decq078 apply #00000800000000000000000000000000 -> 1.00000000000000000000000000000000E-6144 Subnormal decq079 apply 0.000000000000000000000000000000010E-6143 -> #00000000000000000000000000000010 Subnormal decq080 apply #00000000000000000000000000000010 -> 1.0E-6175 Subnormal decq081 apply 0.00000000000000000000000000000001E-6143 -> #00004000000000000000000000000001 Subnormal decq082 apply #00004000000000000000000000000001 -> 1E-6175 Subnormal decq083 apply 0.000000000000000000000000000000001E-6143 -> #00000000000000000000000000000001 Subnormal decq084 apply #00000000000000000000000000000001 -> 1E-6176 Subnormal -- underflows cannot be tested for simple copies, check edge cases decq090 apply 1e-6176 -> #00000000000000000000000000000001 Subnormal decq100 apply 999999999999999999999999999999999e-6176 -> #00000ff3fcff3fcff3fcff3fcff3fcff Subnormal -- same again, negatives -- Nmax and similar decq122 apply -9.999999999999999999999999999999999E+6144 -> #f7ffcff3fcff3fcff3fcff3fcff3fcff decq123 apply #f7ffcff3fcff3fcff3fcff3fcff3fcff -> -9.999999999999999999999999999999999E+6144 decq124 apply -1.234567890123456789012345678901234E+6144 -> #c7ffd34b9c1e28e56f3c127177823534 decq125 apply #c7ffd34b9c1e28e56f3c127177823534 -> -1.234567890123456789012345678901234E+6144 -- fold-downs (more below) decq130 apply -1.23E+6144 -> #c7ffd300000000000000000000000000 Clamped decq131 apply #c7ffd300000000000000000000000000 -> -1.230000000000000000000000000000000E+6144 decq132 apply -1E+6144 -> #c7ffc000000000000000000000000000 Clamped decq133 apply #c7ffc000000000000000000000000000 -> -1.000000000000000000000000000000000E+6144 decq151 apply -12345 -> #a20800000000000000000000000049c5 decq152 apply #a20800000000000000000000000049c5 -> -12345 decq153 apply -1234 -> #a2080000000000000000000000000534 decq154 apply #a2080000000000000000000000000534 -> -1234 decq155 apply -123 -> #a20800000000000000000000000000a3 decq156 apply #a20800000000000000000000000000a3 -> -123 decq157 apply -12 -> #a2080000000000000000000000000012 decq158 apply #a2080000000000000000000000000012 -> -12 decq159 apply -1 -> #a2080000000000000000000000000001 decq160 apply #a2080000000000000000000000000001 -> -1 decq161 apply -1.23 -> #a20780000000000000000000000000a3 decq162 apply #a20780000000000000000000000000a3 -> -1.23 decq163 apply -123.45 -> #a20780000000000000000000000049c5 decq164 apply #a20780000000000000000000000049c5 -> -123.45 -- Nmin and below decq171 apply -1E-6143 -> #80084000000000000000000000000001 decq172 apply #80084000000000000000000000000001 -> -1E-6143 decq173 apply -1.000000000000000000000000000000000E-6143 -> #84000000000000000000000000000000 decq174 apply #84000000000000000000000000000000 -> -1.000000000000000000000000000000000E-6143 decq175 apply -1.000000000000000000000000000000001E-6143 -> #84000000000000000000000000000001 decq176 apply #84000000000000000000000000000001 -> -1.000000000000000000000000000000001E-6143 decq177 apply -0.100000000000000000000000000000000E-6143 -> #80000800000000000000000000000000 Subnormal decq178 apply #80000800000000000000000000000000 -> -1.00000000000000000000000000000000E-6144 Subnormal decq179 apply -0.000000000000000000000000000000010E-6143 -> #80000000000000000000000000000010 Subnormal decq180 apply #80000000000000000000000000000010 -> -1.0E-6175 Subnormal decq181 apply -0.00000000000000000000000000000001E-6143 -> #80004000000000000000000000000001 Subnormal decq182 apply #80004000000000000000000000000001 -> -1E-6175 Subnormal decq183 apply -0.000000000000000000000000000000001E-6143 -> #80000000000000000000000000000001 Subnormal decq184 apply #80000000000000000000000000000001 -> -1E-6176 Subnormal -- underflow edge cases decq190 apply -1e-6176 -> #80000000000000000000000000000001 Subnormal decq200 apply -999999999999999999999999999999999e-6176 -> #80000ff3fcff3fcff3fcff3fcff3fcff Subnormal -- zeros decq400 apply 0E-8000 -> #00000000000000000000000000000000 Clamped decq401 apply 0E-6177 -> #00000000000000000000000000000000 Clamped decq402 apply 0E-6176 -> #00000000000000000000000000000000 decq403 apply #00000000000000000000000000000000 -> 0E-6176 decq404 apply 0.000000000000000000000000000000000E-6143 -> #00000000000000000000000000000000 decq405 apply #00000000000000000000000000000000 -> 0E-6176 decq406 apply 0E-2 -> #22078000000000000000000000000000 decq407 apply #22078000000000000000000000000000 -> 0.00 decq408 apply 0 -> #22080000000000000000000000000000 decq409 apply #22080000000000000000000000000000 -> 0 decq410 apply 0E+3 -> #2208c000000000000000000000000000 decq411 apply #2208c000000000000000000000000000 -> 0E+3 decq412 apply 0E+6111 -> #43ffc000000000000000000000000000 decq413 apply #43ffc000000000000000000000000000 -> 0E+6111 -- clamped zeros... decq414 apply 0E+6112 -> #43ffc000000000000000000000000000 Clamped decq415 apply #43ffc000000000000000000000000000 -> 0E+6111 decq416 apply 0E+6144 -> #43ffc000000000000000000000000000 Clamped decq417 apply #43ffc000000000000000000000000000 -> 0E+6111 decq418 apply 0E+8000 -> #43ffc000000000000000000000000000 Clamped decq419 apply #43ffc000000000000000000000000000 -> 0E+6111 -- negative zeros decq420 apply -0E-8000 -> #80000000000000000000000000000000 Clamped decq421 apply -0E-6177 -> #80000000000000000000000000000000 Clamped decq422 apply -0E-6176 -> #80000000000000000000000000000000 decq423 apply #80000000000000000000000000000000 -> -0E-6176 decq424 apply -0.000000000000000000000000000000000E-6143 -> #80000000000000000000000000000000 decq425 apply #80000000000000000000000000000000 -> -0E-6176 decq426 apply -0E-2 -> #a2078000000000000000000000000000 decq427 apply #a2078000000000000000000000000000 -> -0.00 decq428 apply -0 -> #a2080000000000000000000000000000 decq429 apply #a2080000000000000000000000000000 -> -0 decq430 apply -0E+3 -> #a208c000000000000000000000000000 decq431 apply #a208c000000000000000000000000000 -> -0E+3 decq432 apply -0E+6111 -> #c3ffc000000000000000000000000000 decq433 apply #c3ffc000000000000000000000000000 -> -0E+6111 -- clamped zeros... decq434 apply -0E+6112 -> #c3ffc000000000000000000000000000 Clamped decq435 apply #c3ffc000000000000000000000000000 -> -0E+6111 decq436 apply -0E+6144 -> #c3ffc000000000000000000000000000 Clamped decq437 apply #c3ffc000000000000000000000000000 -> -0E+6111 decq438 apply -0E+8000 -> #c3ffc000000000000000000000000000 Clamped decq439 apply #c3ffc000000000000000000000000000 -> -0E+6111 -- exponent lengths decq440 apply #22080000000000000000000000000007 -> 7 decq441 apply 7 -> #22080000000000000000000000000007 decq442 apply #220a4000000000000000000000000007 -> 7E+9 decq443 apply 7E+9 -> #220a4000000000000000000000000007 decq444 apply #2220c000000000000000000000000007 -> 7E+99 decq445 apply 7E+99 -> #2220c000000000000000000000000007 decq446 apply #2301c000000000000000000000000007 -> 7E+999 decq447 apply 7E+999 -> #2301c000000000000000000000000007 decq448 apply #43e3c000000000000000000000000007 -> 7E+5999 decq449 apply 7E+5999 -> #43e3c000000000000000000000000007 -- Specials decq500 apply Infinity -> #78000000000000000000000000000000 decq501 apply #78787878787878787878787878787878 -> #78000000000000000000000000000000 decq502 apply #78000000000000000000000000000000 -> Infinity decq503 apply #79797979797979797979797979797979 -> #78000000000000000000000000000000 decq504 apply #79000000000000000000000000000000 -> Infinity decq505 apply #7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a -> #78000000000000000000000000000000 decq506 apply #7a000000000000000000000000000000 -> Infinity decq507 apply #7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b -> #78000000000000000000000000000000 decq508 apply #7b000000000000000000000000000000 -> Infinity decq509 apply NaN -> #7c000000000000000000000000000000 decq510 apply #7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c -> #7c003c7c7c7c7c7c7c7c7c7c7c7c7c7c decq511 apply #7c000000000000000000000000000000 -> NaN decq512 apply #7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d -> #7c003d7d7d7d7d7d7d7d7d7d7d7d7d7d decq513 apply #7d000000000000000000000000000000 -> NaN decq514 apply #7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e -> #7e003e7e7c7e7e7e7e7c7e7e7e7e7c7e decq515 apply #7e000000000000000000000000000000 -> sNaN decq516 apply #7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f -> #7e003f7f7c7f7f7f7f7c7f7f7f7f7c7f decq517 apply #7f000000000000000000000000000000 -> sNaN decq518 apply #7fffffffffffffffffffffffffffffff -> sNaN999999999999999999999999999999999 decq519 apply #7fffffffffffffffffffffffffffffff -> #7e000ff3fcff3fcff3fcff3fcff3fcff decq520 apply -Infinity -> #f8000000000000000000000000000000 decq521 apply #f8787878787878787878787878787878 -> #f8000000000000000000000000000000 decq522 apply #f8000000000000000000000000000000 -> -Infinity decq523 apply #f9797979797979797979797979797979 -> #f8000000000000000000000000000000 decq524 apply #f9000000000000000000000000000000 -> -Infinity decq525 apply #fa7a7a7a7a7a7a7a7a7a7a7a7a7a7a7a -> #f8000000000000000000000000000000 decq526 apply #fa000000000000000000000000000000 -> -Infinity decq527 apply #fb7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b -> #f8000000000000000000000000000000 decq528 apply #fb000000000000000000000000000000 -> -Infinity decq529 apply -NaN -> #fc000000000000000000000000000000 decq530 apply #fc7c7c7c7c7c7c7c7c7c7c7c7c7c7c7c -> #fc003c7c7c7c7c7c7c7c7c7c7c7c7c7c decq531 apply #fc000000000000000000000000000000 -> -NaN decq532 apply #fd7d7d7d7d7d7d7d7d7d7d7d7d7d7d7d -> #fc003d7d7d7d7d7d7d7d7d7d7d7d7d7d decq533 apply #fd000000000000000000000000000000 -> -NaN decq534 apply #fe7e7e7e7e7e7e7e7e7e7e7e7e7e7e7e -> #fe003e7e7c7e7e7e7e7c7e7e7e7e7c7e decq535 apply #fe000000000000000000000000000000 -> -sNaN decq536 apply #ff7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f -> #fe003f7f7c7f7f7f7f7c7f7f7f7f7c7f decq537 apply #ff000000000000000000000000000000 -> -sNaN decq538 apply #ffffffffffffffffffffffffffffffff -> -sNaN999999999999999999999999999999999 decq539 apply #ffffffffffffffffffffffffffffffff -> #fe000ff3fcff3fcff3fcff3fcff3fcff decq540 apply NaN -> #7c000000000000000000000000000000 decq541 apply NaN0 -> #7c000000000000000000000000000000 decq542 apply NaN1 -> #7c000000000000000000000000000001 decq543 apply NaN12 -> #7c000000000000000000000000000012 decq544 apply NaN79 -> #7c000000000000000000000000000079 decq545 apply NaN12345 -> #7c0000000000000000000000000049c5 decq546 apply NaN123456 -> #7c000000000000000000000000028e56 decq547 apply NaN799799 -> #7c0000000000000000000000000f7fdf decq548 apply NaN799799799799799799799799799799799 -> #7c003dff7fdff7fdff7fdff7fdff7fdf decq549 apply NaN999999999999999999999999999999999 -> #7c000ff3fcff3fcff3fcff3fcff3fcff decq550 apply 9999999999999999999999999999999999 -> #6e080ff3fcff3fcff3fcff3fcff3fcff -- fold-down full sequence decq601 apply 1E+6144 -> #47ffc000000000000000000000000000 Clamped decq602 apply #47ffc000000000000000000000000000 -> 1.000000000000000000000000000000000E+6144 decq603 apply 1E+6143 -> #43ffc800000000000000000000000000 Clamped decq604 apply #43ffc800000000000000000000000000 -> 1.00000000000000000000000000000000E+6143 decq605 apply 1E+6142 -> #43ffc100000000000000000000000000 Clamped decq606 apply #43ffc100000000000000000000000000 -> 1.0000000000000000000000000000000E+6142 decq607 apply 1E+6141 -> #43ffc010000000000000000000000000 Clamped decq608 apply #43ffc010000000000000000000000000 -> 1.000000000000000000000000000000E+6141 decq609 apply 1E+6140 -> #43ffc002000000000000000000000000 Clamped decq610 apply #43ffc002000000000000000000000000 -> 1.00000000000000000000000000000E+6140 decq611 apply 1E+6139 -> #43ffc000400000000000000000000000 Clamped decq612 apply #43ffc000400000000000000000000000 -> 1.0000000000000000000000000000E+6139 decq613 apply 1E+6138 -> #43ffc000040000000000000000000000 Clamped decq614 apply #43ffc000040000000000000000000000 -> 1.000000000000000000000000000E+6138 decq615 apply 1E+6137 -> #43ffc000008000000000000000000000 Clamped decq616 apply #43ffc000008000000000000000000000 -> 1.00000000000000000000000000E+6137 decq617 apply 1E+6136 -> #43ffc000001000000000000000000000 Clamped decq618 apply #43ffc000001000000000000000000000 -> 1.0000000000000000000000000E+6136 decq619 apply 1E+6135 -> #43ffc000000100000000000000000000 Clamped decq620 apply #43ffc000000100000000000000000000 -> 1.000000000000000000000000E+6135 decq621 apply 1E+6134 -> #43ffc000000020000000000000000000 Clamped decq622 apply #43ffc000000020000000000000000000 -> 1.00000000000000000000000E+6134 decq623 apply 1E+6133 -> #43ffc000000004000000000000000000 Clamped decq624 apply #43ffc000000004000000000000000000 -> 1.0000000000000000000000E+6133 decq625 apply 1E+6132 -> #43ffc000000000400000000000000000 Clamped decq626 apply #43ffc000000000400000000000000000 -> 1.000000000000000000000E+6132 decq627 apply 1E+6131 -> #43ffc000000000080000000000000000 Clamped decq628 apply #43ffc000000000080000000000000000 -> 1.00000000000000000000E+6131 decq629 apply 1E+6130 -> #43ffc000000000010000000000000000 Clamped decq630 apply #43ffc000000000010000000000000000 -> 1.0000000000000000000E+6130 decq631 apply 1E+6129 -> #43ffc000000000001000000000000000 Clamped decq632 apply #43ffc000000000001000000000000000 -> 1.000000000000000000E+6129 decq633 apply 1E+6128 -> #43ffc000000000000200000000000000 Clamped decq634 apply #43ffc000000000000200000000000000 -> 1.00000000000000000E+6128 decq635 apply 1E+6127 -> #43ffc000000000000040000000000000 Clamped decq636 apply #43ffc000000000000040000000000000 -> 1.0000000000000000E+6127 decq637 apply 1E+6126 -> #43ffc000000000000004000000000000 Clamped decq638 apply #43ffc000000000000004000000000000 -> 1.000000000000000E+6126 decq639 apply 1E+6125 -> #43ffc000000000000000800000000000 Clamped decq640 apply #43ffc000000000000000800000000000 -> 1.00000000000000E+6125 decq641 apply 1E+6124 -> #43ffc000000000000000100000000000 Clamped decq642 apply #43ffc000000000000000100000000000 -> 1.0000000000000E+6124 decq643 apply 1E+6123 -> #43ffc000000000000000010000000000 Clamped decq644 apply #43ffc000000000000000010000000000 -> 1.000000000000E+6123 decq645 apply 1E+6122 -> #43ffc000000000000000002000000000 Clamped decq646 apply #43ffc000000000000000002000000000 -> 1.00000000000E+6122 decq647 apply 1E+6121 -> #43ffc000000000000000000400000000 Clamped decq648 apply #43ffc000000000000000000400000000 -> 1.0000000000E+6121 decq649 apply 1E+6120 -> #43ffc000000000000000000040000000 Clamped decq650 apply #43ffc000000000000000000040000000 -> 1.000000000E+6120 decq651 apply 1E+6119 -> #43ffc000000000000000000008000000 Clamped decq652 apply #43ffc000000000000000000008000000 -> 1.00000000E+6119 decq653 apply 1E+6118 -> #43ffc000000000000000000001000000 Clamped decq654 apply #43ffc000000000000000000001000000 -> 1.0000000E+6118 decq655 apply 1E+6117 -> #43ffc000000000000000000000100000 Clamped decq656 apply #43ffc000000000000000000000100000 -> 1.000000E+6117 decq657 apply 1E+6116 -> #43ffc000000000000000000000020000 Clamped decq658 apply #43ffc000000000000000000000020000 -> 1.00000E+6116 decq659 apply 1E+6115 -> #43ffc000000000000000000000004000 Clamped decq660 apply #43ffc000000000000000000000004000 -> 1.0000E+6115 decq661 apply 1E+6114 -> #43ffc000000000000000000000000400 Clamped decq662 apply #43ffc000000000000000000000000400 -> 1.000E+6114 decq663 apply 1E+6113 -> #43ffc000000000000000000000000080 Clamped decq664 apply #43ffc000000000000000000000000080 -> 1.00E+6113 decq665 apply 1E+6112 -> #43ffc000000000000000000000000010 Clamped decq666 apply #43ffc000000000000000000000000010 -> 1.0E+6112 decq667 apply 1E+6111 -> #43ffc000000000000000000000000001 decq668 apply #43ffc000000000000000000000000001 -> 1E+6111 decq669 apply 1E+6110 -> #43ff8000000000000000000000000001 decq670 apply #43ff8000000000000000000000000001 -> 1E+6110 -- Selected DPD codes decq700 apply #22080000000000000000000000000000 -> 0 decq701 apply #22080000000000000000000000000009 -> 9 decq702 apply #22080000000000000000000000000010 -> 10 decq703 apply #22080000000000000000000000000019 -> 19 decq704 apply #22080000000000000000000000000020 -> 20 decq705 apply #22080000000000000000000000000029 -> 29 decq706 apply #22080000000000000000000000000030 -> 30 decq707 apply #22080000000000000000000000000039 -> 39 decq708 apply #22080000000000000000000000000040 -> 40 decq709 apply #22080000000000000000000000000049 -> 49 decq710 apply #22080000000000000000000000000050 -> 50 decq711 apply #22080000000000000000000000000059 -> 59 decq712 apply #22080000000000000000000000000060 -> 60 decq713 apply #22080000000000000000000000000069 -> 69 decq714 apply #22080000000000000000000000000070 -> 70 decq715 apply #22080000000000000000000000000071 -> 71 decq716 apply #22080000000000000000000000000072 -> 72 decq717 apply #22080000000000000000000000000073 -> 73 decq718 apply #22080000000000000000000000000074 -> 74 decq719 apply #22080000000000000000000000000075 -> 75 decq720 apply #22080000000000000000000000000076 -> 76 decq721 apply #22080000000000000000000000000077 -> 77 decq722 apply #22080000000000000000000000000078 -> 78 decq723 apply #22080000000000000000000000000079 -> 79 decq730 apply #2208000000000000000000000000029e -> 994 decq731 apply #2208000000000000000000000000029f -> 995 decq732 apply #220800000000000000000000000002a0 -> 520 decq733 apply #220800000000000000000000000002a1 -> 521 -- DPD: one of each of the huffman groups decq740 apply #220800000000000000000000000003f7 -> 777 decq741 apply #220800000000000000000000000003f8 -> 778 decq742 apply #220800000000000000000000000003eb -> 787 decq743 apply #2208000000000000000000000000037d -> 877 decq744 apply #2208000000000000000000000000039f -> 997 decq745 apply #220800000000000000000000000003bf -> 979 decq746 apply #220800000000000000000000000003df -> 799 decq747 apply #2208000000000000000000000000006e -> 888 -- DPD all-highs cases (includes the 24 redundant codes) decq750 apply #2208000000000000000000000000006e -> 888 decq751 apply #2208000000000000000000000000016e -> 888 decq752 apply #2208000000000000000000000000026e -> 888 decq753 apply #2208000000000000000000000000036e -> 888 decq754 apply #2208000000000000000000000000006f -> 889 decq755 apply #2208000000000000000000000000016f -> 889 decq756 apply #2208000000000000000000000000026f -> 889 decq757 apply #2208000000000000000000000000036f -> 889 decq760 apply #2208000000000000000000000000007e -> 898 decq761 apply #2208000000000000000000000000017e -> 898 decq762 apply #2208000000000000000000000000027e -> 898 decq763 apply #2208000000000000000000000000037e -> 898 decq764 apply #2208000000000000000000000000007f -> 899 decq765 apply #2208000000000000000000000000017f -> 899 decq766 apply #2208000000000000000000000000027f -> 899 decq767 apply #2208000000000000000000000000037f -> 899 decq770 apply #220800000000000000000000000000ee -> 988 decq771 apply #220800000000000000000000000001ee -> 988 decq772 apply #220800000000000000000000000002ee -> 988 decq773 apply #220800000000000000000000000003ee -> 988 decq774 apply #220800000000000000000000000000ef -> 989 decq775 apply #220800000000000000000000000001ef -> 989 decq776 apply #220800000000000000000000000002ef -> 989 decq777 apply #220800000000000000000000000003ef -> 989 decq780 apply #220800000000000000000000000000fe -> 998 decq781 apply #220800000000000000000000000001fe -> 998 decq782 apply #220800000000000000000000000002fe -> 998 decq783 apply #220800000000000000000000000003fe -> 998 decq784 apply #220800000000000000000000000000ff -> 999 decq785 apply #220800000000000000000000000001ff -> 999 decq786 apply #220800000000000000000000000002ff -> 999 decq787 apply #220800000000000000000000000003ff -> 999 -- Miscellaneous (testers' queries, etc.) decq790 apply #2208000000000000000000000000c000 -> 30000 decq791 apply #22080000000000000000000000007800 -> 890000 decq792 apply 30000 -> #2208000000000000000000000000c000 decq793 apply 890000 -> #22080000000000000000000000007800 -- values around [u]int32 edges (zeros done earlier) decq800 apply -2147483646 -> #a208000000000000000000008c78af46 decq801 apply -2147483647 -> #a208000000000000000000008c78af47 decq802 apply -2147483648 -> #a208000000000000000000008c78af48 decq803 apply -2147483649 -> #a208000000000000000000008c78af49 decq804 apply 2147483646 -> #2208000000000000000000008c78af46 decq805 apply 2147483647 -> #2208000000000000000000008c78af47 decq806 apply 2147483648 -> #2208000000000000000000008c78af48 decq807 apply 2147483649 -> #2208000000000000000000008c78af49 decq808 apply 4294967294 -> #22080000000000000000000115afb55a decq809 apply 4294967295 -> #22080000000000000000000115afb55b decq810 apply 4294967296 -> #22080000000000000000000115afb57a decq811 apply 4294967297 -> #22080000000000000000000115afb57b decq820 apply #a208000000000000000000008c78af46 -> -2147483646 decq821 apply #a208000000000000000000008c78af47 -> -2147483647 decq822 apply #a208000000000000000000008c78af48 -> -2147483648 decq823 apply #a208000000000000000000008c78af49 -> -2147483649 decq824 apply #2208000000000000000000008c78af46 -> 2147483646 decq825 apply #2208000000000000000000008c78af47 -> 2147483647 decq826 apply #2208000000000000000000008c78af48 -> 2147483648 decq827 apply #2208000000000000000000008c78af49 -> 2147483649 decq828 apply #22080000000000000000000115afb55a -> 4294967294 decq829 apply #22080000000000000000000115afb55b -> 4294967295 decq830 apply #22080000000000000000000115afb57a -> 4294967296 decq831 apply #22080000000000000000000115afb57b -> 4294967297 -- VG testcase decq840 apply #2080000000000000F294000000172636 -> 8.81125000000001349436E-1548 decq841 apply #20800000000000008000000000000000 -> 8.000000000000000000E-1550 decq842 apply #1EF98490000000010F6E4E0000000000 -> 7.049000000000010795488000000000000E-3097 decq843 multiply #20800000000000008000000000000000 #2080000000000000F294000000172636 -> #1EF98490000000010F6E4E0000000000 Rounded