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A floating-point library for integer processors

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(1)A floating-point library for integer processors C. Bertin, Nicolas Brisebarre, Benoît de Dinechin, Claude-Pierre Jeannerod, C. Monat, Jean-Michel Muller, Saurabh Raina, Arnaud Tisserand. To cite this version: C. Bertin, Nicolas Brisebarre, Benoît de Dinechin, Claude-Pierre Jeannerod, C. Monat, et al.. A floating-point library for integer processors. [Research Report] RR-5268, INRIA. 2004, pp.17. �inria00070730�. HAL Id: inria-00070730 https://hal.inria.fr/inria-00070730 Submitted on 19 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A floating-point library for integer processors C. Bertin — N. Brisebarre — B. Dupont de Dinechin — C.-P. Jeannerod — C. Monat — J.-M. Muller — S. Raina — A. Tisserand. N° 5268 July 2004. ISSN 0249-6399. ISRN INRIA/RR--5268--FR+ENG. Thème SYM. apport de recherche.

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(331). e‹†z]|~i œH Á>Åu‹Œhj|~i@t{†«jƒxi4ƒ„i4txi ŠDv„‹Œz|~iŠshlzMi ƒ’t<‹†ŠF[txFi@‘}€‹†|À‹Œ|~i@t}~Š v„fi tw}ªŠŸ2|~i¾ƒ„i4‘ }ªtx}~{2Š ° 2{ ‹v„}~Š]Ÿ†±²F{2}~ŠDv(«­{Œƒ„hj‹†v4¿. dae G Ch ˆvKJuFviw º²«%‹‹ŒŠ] TŒ‹ ƒxiƒ„i ]ƒxi@twi4Š2v’‹†z|ªilŠshzFi4ƒ„t0³( ( A

(332) >#‚   *#*+ µÎMvxfi4ŠTvxf]i0ƒ„i4tx|~vX{Œ«>vxfi0{ŒMi ƒ’‹v„}~{2Š |‹ h'6‹ r Š{ŒvXzMilƒ„i ƒ„i4txi ŠDv’‹†z|ªi }~ŠTvxfilv„‹†ƒ„ŸŒi v#«­{Œƒ„h'‹v³ØiŒ¿ Ÿ]¿o!b’'}ªŠvxfi0ui4‘ }~h'‹Œ|txrut‡v„i h`µ¿ e$f]iƒ„i4tx|~vyhl]twv#zFi 'v  &@‘#*@ ¿>e$fitwv„‹ŒŠ]‹†ƒ’ ƒx{Às}€ui4tL«­{2ƒ#ƒx{2Š]u}ªŠŸ0hj{si4t)H ƒx{2Š] vx{ ?"n Î]i Š{Œvxi4zsr , #LH ƒxi vxƒ„Š]t$v„fitwh'‹Œ|~|ªi4twvyh'‹Œ‘’f}ªŠi ŠshlzMi ƒX|ª‹ŒƒxŸ2i ƒ(vxfF‹†Š<{Œƒ "!. #. %&#. $. (. '. i4D]‹Œ|\vx{jvxf]i iÅ‹Œ‘v$ƒ„i4tx|~v $ ¿ {  n ÎMui Š{Œvxi@zDr )5 $ #H$ƒ„iv„ƒxŠFt$vxfil|ª‹ŒƒxŸ2i4twv$h'‹2‘’f}~Š]iŠshlzMi ƒŽtxh'‹†|ª|~i4ƒ#vxfF‹†Š<{Œƒ ' ƒx{2Š]v„ i4D]‹Œ|\vx{jvxf]i iÅ‹Œ‘v$ƒ„i4tx|~v $ ¿ { -Îsui Š]{†vxi@jzsr* $ #H%ƒ„ivx]ƒxŠ]t+(, $ #%«­{2ƒ>Ši ŸD‹v„}~À2i#ŠD]hlzMi ƒ’t.‹†ŠF ) $ #:«­{2ƒ>F{Dtw}~vx}ªÀŒi ' ƒx{2Š]0v„ ŠshlzMi ƒ’t ¿ r ,  $ #H(ƒxi vxƒ„Š]t$v„filh'‹Œ‘’f]}~Ši ŠshzFi4ƒ#vxfF‹vŽ}€t#v„fil‘|ª{2txi4twv#vx{ ' ƒx{2Š]v„{ &#*# + ÎMui Š]{†vxi@zs vxfiiÅ‹2‘v.ƒ„i4tx|~v $ ¿:º²« $ }€t>v„fiŽi Åu‹2‘v(h0}€u|ªiŽzMiv‡¯(i i4Š'v‡¯({‘{2Š]txi4‘vx}ªÀŒiyh'‹Œ‘’f]}~ŠiŽŠD]hlzMi ƒ’t Î }Ãv0ƒxi vxƒ„Š]tv„fiP´‚ ŠshzFi4ƒ¯#f{2txi'|ªi4‹Œtwvtx}~Ÿ2Š}~ÂF‘ ‹ŒŠ2vz]}Ãvl}€tlS ‹ -¬³ 3 &@}$ &#*# + #.-# µ¿ e$f}€t#}ªt(v„fiui «Ø‹†|~vyƒx{2Š]u}ªŠŸjhj{uui }~Šƒ’‹Œ‘vx}€‘iŒ¿ e$fitwv„‹†ŠF‹†ƒ’¾ƒxi@D}~ƒ„i4t0‹†Š©}~hjM{Œƒxv„‹†ŠDv0ƒx{2Fi4ƒwv‡>r H (*'#'( v >@

(333) A ¿¬¹Ni v ‹ ‹†ŠF/  #¬zFi v‡¯({ h'‹2‘’f}~Š]ilŠshlzMi ƒ’t40Î % ‹†ŠT{2Fi4ƒ„‹†vx}ª{ŒŠT{Œ2« 1 ? ^ Š^`a^4365‹ŒŠ] 7 vxfij‹Œ‘vx}ªÀŒiƒx{2Š]u}ªŠŸPhj{uuij‹†hj{ŒŠ]Ÿ v„fi68'º¼Á>Á.Á ƒx{2Š]u}ªŠŸjhj{uui4t4¿(e$f]i ƒxi@tw|~vŽ{Œ\« ‹ %9# ##hl]twvŽzM6i 7 ‹:%<;>=?# #H>vxfiƒ„iv„ƒ„Ši4ƒ„i4tx|Ãv h]twvLzMiyvxf]iŽƒ„i4tx|Ãv({†«Äv„fiŽ{2Fi4ƒ„‹†vx}ª{ŒŠ`‘{2hjuvxi@']tx}~Š]Ÿl‹†Š`}ªŠuÂ]Š]}Ãv„iX‹Œ‘4‘ƒ’‹Œ‘ r ³Ø}8¿ iŒ¿%v„fiyv„fi {2ƒxi vx}€‘ ‹†| {2Fi4ƒ„‹†vx}ª{Œ Š %<;>=2µy‹†Š] vxf]i Š<ƒ„{ŒŠ]i4Ä¿(e$filtwv„‹†ŠF‹†ƒ’Pƒ„i4D}ªƒ„i4t(vxf]iltx‹Œhji ƒx{2Fi4ƒwv‡r`«­{Œƒ#v„filt„2F‹†ƒ„i ƒ„{s{†v#{ŒMi ƒ’‹v„}~{2ŠN¿. dae. A@. hCv Cy jAuzh%v j"u<o ƒlnyVo~uF. B. DC. N. OI. 6EFB. $. hCl.Hƒm juFhCvUmJvKJ. HG. y im auFhkjquv I 0C. KJMLLL. g‚xzhkmpo~uFvƒw „{thCuvCo. $e f]i twv„‹†ŠF‹†ƒ’ ui Â]Ši4t0‘{2ŠsÀŒi ƒ’tx}~{2Š¬{ŒMi ƒ’‹vx}ª{ŒŠFt «­ƒ„{Œh }~ŠDv„i ŸŒi4ƒ„tvx{¯$‹†ƒ’t ° {2‹v„}~Š]Ÿ†±²F{2}~ŠDvŠshzFi4ƒ„t ³8´‚ OXµÎs«­ƒx{2h·´ ‚

(334) OŽtLvx{¯$‹†ƒ’t>}ªŠDvxi4ŸŒi ƒ’t4Ό«­ƒ„{Œh·´‚ OXt.v„{¯(‹Œƒ„]t>}ªŠ2v„i Ÿ2i ƒ’t.ƒ„i ƒ„i4txi ŠDv„i4j]tx}~Š]Ÿ‹0´ ‚

(335) OÎ zMiv‡¯(i i4Š<´ ‚

(336) OŽt#{Œ«%u}\i ƒ„i ŠDv#«­{Œƒ„h'‹v„tŽ‹†Š]PÂ]Š]‹Œ|~|ªrŒÎzMiv‡¯(i i4Šz}~ŠF‹†ƒ„rP‹†Š]ui@‘}ªh'‹†|Nƒ„i ƒ„i4txi ŠDv’‹vx}ª{ŒŠFt «­{2ƒy}ªŠuQv P6{Œvxuv@¿(e$f]i‘{Œhj]‹Œƒx}€tx{ŒŠ]t#ui Â]Ši@ }ªŠvxf]ilt‡v’‹†Š]]‹†ƒ’ ‹Œƒx‘i HL0Î R Î S ‹†ŠF Š]{ŒŠu±²{Œƒ’ui ƒ„i4N¿ î î!Ü–—à ê .

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