A floating-point library for integer processors
Texte intégral
(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.
(3)
(4)
(5) ! "#
(6) "$! %'&("#)*)*) +,.-0/21436587:9<;>=?,:-1@5BA4/DC:EF1@1@/DG ;>-,>H I%JLKM7N3PO%/QH587%/DRS5B7:9T;.+,VUWX,.YM/DEM7%7%/21@K*O:G ; +,.Z[K\7:E]39T;>Y,VUZ^,.Z[I%_8_B/216G`;.aL,:bPEM5B7:EMGP;:c?,%d'5BA4A@/D1@EM7%O:G e$f]g hjilkDmnpoqksrutwvxg4h0i@tytxrDhzF{2|~}Di4t >{ i vyy ]}~i M{xvyui xi@fi fiM%22?oq]|~r oFi@t. P¡¢4£ ¤¥¦£§ e$f}t']Fi4`i4txi Dvt'©¨|ª}~z]xr¬«{2jvxfi?tw{«®v¯(xi<txM{xv`{« tw}ª|ªi<i4 }ªtx}~{2 ° 2{ v}~]±²F{2}~Dv?³8´ (µPx}~vxfhji vx}T{¶x{u i4ttw{2t'¯#}~vxf]{uv<´·f]u¯$iT}~vttx]f¶tP¸X¹*º¼» {2½kux{u i4ttw{2 {i4t«{2i hzFi@ui4¾|ª}ª4vx}ª{Ft ¿Pe$f]}ªt |ª}ªzxrQx{Às}ui4ttxi À2i |:|ªi Ài4|ªt{« {hj|ª}ª]i%v{#vxf]i.º¼Á>Á>Á¬y´ ?tv]N¿*e$fi. {hj|ªivxiLtwMi4 }ÃÂF4v}~{2]tN{«Dvfi.twv] zFi Ftwi@j{Ä ]twvLtx{hji#i |Åui4jf]2vxi4x}twvx} t%twFf`t:i4twvx}ªvxi@{]]u}ª hj{si4t>{2.{2hjuvvx}ª{]t ¯#}~vxf]{uvXi {2xh'|ÄshzFi4t4¿Le$f]}ªt|~}ªzr`}ªti À|ª]vxi4{2 vfikuey0¸X¹*º¼»Æx{u i4ttw{2tL«{h ke#n<}ª x{si4|~i@vx{]}ª4t ¿ Ç<ÈDÉ\ÊËlÌ ¤Í¢§ ¨L{hjuvi }Ãvfhjivx}Î ° {2vx}ª±²F{2}~DvPx}~vxfhji vx}Îy]u}Ãv}~{2NÎyh|Ãv}~]|~} vx}ª{NÎ }~Às}tw}ª{NÎtD]i±²{D{v4ÎD}~Dvi i4#{s i4ttw{24ÎD¸X¹*º¼»Î]½ks. LÏö Ð4Ñ*ÒÓÕÔwÖØ× ÙwÚÕÙÔ¼Û8Ö8×Ü6ÓÕÔÝwÞ%ßwà(ÖØá6Ù>âá6ÚÕÙÝã*×Ö8×wä Ó Û8åæçsè4éêë@ßwìyí%î ïFð%ñ%ò\óuïNæ6ç]îNô%ð%õÄï ôÖØ÷ÜøÓÕÖØÙ$ù6ÖØ×ú8ÙÔ¼Û#ûõNð îÐXèïMðÐóDü×Üèýð î*ý®ôèþ%õÄò\óÿ²Þósý uæsïFð%ÐóDü×ÜDÞ øÚÕÚÕ÷Ù ýÛBøÚÕÓÕÙÞ>çsè ìé ó >ñ%ðQõ\Ù 6Ù ë 4æ@ç]î*ôð%õÄï . . . . . Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe, 38334 Montbonnot Saint Ismier (France) Téléphone : +33 4 76 61 52 00 — Télécopie +33 4 76 61 52 52. .
(7) .
(8) " " N " ? '&("#)*) "P%)·"# "$%).
(9) ¢ § ¨Li.F}ªi 4txi DvxiLi.z]}~z|ª}ª{vxf]g4Diy¨?F{2 |ªi$tw]F{2wv%uiL| }Ãvfhjvx}Di ° {vwvDvxi tx}ªh0]|~i4}tx}~{2 tx'ui4t0{ui4ttxi ttFtl]}Ãv ° {vxvDvi h'v }~i4|~|ªi{hjhjiui4tj{si4tjui ]x{ui@txtxi ]tl¸X¹Nº¼» { ½ks i hz]D4t4¿ ¨Livxvxiz}ªz|~}ª{vfg4Di{M{2txi u} \ i Dvtj}ªÀi@uÅ ui {hj]vx}ªz}~|ª}~vx P|ª']{h0ilº¼Á>Á>Á F¿$¹*i4ttwM4 }ÃÂM v}~{2]t {hj|ªgvi4til|'{hjiMi À2i Dv vxi vx}ª|~}tw4i4t4Îu{ z}~i4txi ]|~i4h0i4Dv$]iXFxvx}ªi {hjhjii4t(hj{si4t# x{2]u}Mxi@tvxi4}~DvtL{2 ui@t# |ª |ªt tFty|ªi4tX{hzxi@tu4{h'|ª}ªtx4t4¿¨Li vwvxi0z}ªz|ª}~{vxfg@2]i` vx0 À|ª4iltw]X|ªi4tX{s i4ttwi4t#¸X¹*º¼» key0uilkue#nT}ª x{si |ªi4vx{} t4¿ Ì £@¢ Ê ¦ ¢§ y}~vxfhjv}ªDi ui4t {2}~]vxi4t4Î*x}~vxfhj vx}2]i ° {vwvDvxi2Î2u}~vx}ª{NÎ hl|~vx}ª|ª}ª4± v}~{2NÎu}ªÀs}ªtx}~{2NÎ }~i x i2Îsx{u i4ttwi4$i Dvx}ªi @Îu¸X¹*º¼»Î]½ku.
(10)
(11)
(12) !
(13) "$#$ # %&')(*# +'+,*+ .. -. /&021436587 29 1:/;580. nT{2twvi4hlzMi4ui@Qtxrutvi h'tX«{ u}ª}~v|:tx}~2]|{ui4ttx}~FÎ\}~h'2i]x{ui@txtx}ªPFQu}ª}~v|% {Dvx{| i |ªr{
(14) <# # {>=;? #*@
(15) "A&')(*# +'+,*+CB DB¿º¼]ui4i4ÄΫ{ vxf{Dtwi$]|~} vx}ª{]t4Îhj{2twv «Ø2tv:]l|~{¯$± M{¯(i (x{u i4ttw{2L{2[email protected]6Ài{0´ }~v$«{#{Dtv$xi@tx{]t³Øtxh'|ª|~i4#i42µ¿ » f]i }~hj|ªi hji Dv}~ |~2{}Ãvfh't.ui@|ª}~]¯#}~vxf xi@|MD]hlzMi t.{2 tx]fP{ui@txtx{t Î{if]t.vx{0}ª2vx{uuFitw{2h0itx4|ª}~] {2Fi4vx}ª{]t4Î}ªjvxfiyvi v>{hÎ}ª'{ui %v!{ Ei4i '4viy{2h0]uvvx}ª{]t B D²¿:e$fiy}ª]twi4wv}~{2 {«ltx4|ª}~]©{Mi v}~{2]t }ªt{2h0]|~} vxi4¶ui?vx{ vxfi¯#}ªi?2iT{«xi@|D]hlzMi tPi4D}ªxi@ }ª h'Dr]|~} vx}ª{]t#]}ÃvXi Mi ]t{vxf]il|ª{2x}~vxfh ]v¿(´xvxf]i h0{2xi2Î]t |ª}ªj}ªt$v}~hji {]txhj}ªv>zM{vfjvxfi|ª}ª4v}~{2j]'ui@tw}ªj|ªi Ài4|ªt4¿%y|ª{}~vxfh't:z]2twi@0{'´©}Ãvfhjiv}ª#u{ ]{vf]6À2i vxf]}ªtX{z|ªi h¿e$fi4NÎMF{2wv}~Px{2h't$«{h!i4i |N]xM{2txi{ui@txtx{t³¯#}~vxf?´ ]}Ãvµvx{l}~Dvxi4i4>{%ÂÅui@s±BM{}ªDvL{2xi@t%}ªtL {2h0]|~i Ålv2Ft E\¿%´{2>}~Ftv] iÎ]x{vx{vrsMi4j]|~} vx}ª{]t Ftw}ª nTv|ªzjf]6ÀiLvx{ zMiy{2DÀ2i xvxi@v{XÂ]Åsi@s±²F{2}~Dv:«{h'v@¿ º¼0vxf]{2txi$4txi4t4Îji G' }~i4Dv.tw{2|~uv}~{2 h'6rzMiv{]twijP«Øtwv´ i h|ªvx}ª{?|ª6r2i {À2i Xvxfij}ªDvxi 2i {ÂÅui4u±BM{}ªDv]}Ãvt ¿0e$f}ªt}tvxfi 2{2|M{«{2$¯L{2 E\¿ e$fi¨ |ª}~z]xr2Î2i4txi Dvi4`}ª`vf}tLFMi @ÎD]x{Às}ui4t>vxfiz]2tw}#Â]À2i{2Fi4vx}ª{])t H2u}~vx}ª{NÎutxzu± v2v}~{2NÎh|Ãv}~]|~} vx}ª{NÎsu}ªÀD}tx}~{2`]'tD]i±²x{s{v«{2LD]2tw}~±B«|~|ªr {hj|ª}ªDvLtw}ª2|~i ±Bi4 }ªtx}ª{ ³BksLµ>º¼Á>Á>Á ´¾«{h'vX³vxfi ° 2t.i#{vLtxM{xvxi@]µJ¿ I(uv>vf}t>|ª}~zrl|ªtx{ {ÀD}ui@t>tw{2hji ]}~Qh0{uui@tl¯#}~vxf©xi4|ªÅsi@¬f]vxi4x}tv}ª4t H{Qui4{h'|LD]hlzMi t{xi@tvx}vi4¾{Fu}~] hj{uui@t:«{(}ª]tv] i¿%¶txi4 {]xr{D|]{«Ävxf}tL¯L{2 E}ªt.vx{0tv]urvxfi}~hj]2v({«\vxfihj{iy{.|~i@txt «]|~|{hj|ª}] ivx{'º¼Á>Á>Á ° {2vx}ª±²F{2}~DvytwvF{<tw{«®v¯(xi}ªhj|~i4hji Dvvx}ª{]t4¿Le$f}t#|ª}~z]xr fFtXzFi4i ?i Ài4|~{2Fi@TFTÀ|ª}ª]vxi@<¯#}~vxf}ª {2|~|zM{v}~{2<¯#}Ãvfkue#n<}{si |ªi4vx{} t4¿Xe$fi0|ª}ñ z]xr<f]2t zMi i vivi4Qvx{vfi'¸X¹*º¼» ³ØÀi4xrT|ª{]}ª]twvx]v}~{2¾¯L{2]µX{ui@txtx{ {2xi@t{«(vxfi keyl«Øhj}ª|~r2¿ e$f}t(]Mi $}t({2]L} K4i4't.«{|ª|ª{¯yt ¿: twhjh'rj{ ° {2vx}ª±²F{2}~Dv$}Ãvfhjivx}X}ªt(i4txi Dvxi@ }ªPksi@vx}ª{u¿º¼Pksi4vx}ª{ - Îvxf]iyvx2iv>{ui@txtx{>]`{2hj}~|ªi Liyi4txi Dvxi@Ä¿e$f]iyi ¯ |ª}~z]xr }ty]xi@twi42vi4}ªQksi4vx}ª{<F¿ye$fiÀ|ª}ª]vx}ª{<{«%vxf}t]i ¯ |~}ªzrP}tu}t]ttwi@}~Qkui4v}~{2Qu¿ye$fi i4tx|~vt.{«Nvfi}ªhj|~i4hji Dvvx}ª{`{« tw{2hji#vrs}ª4|\]|~} vx}ª{]tLii4txi Dvxi@j}~ksi4vx}ª{Pt.¯Li4|~| 2t#j{hj]x}tx{`v{0vxfi {2x}ª}ª]|\|ª}~z]xr2¿. M. NPOP5. 1:/>0RQ S 5T/>021. 3U/V14WYX[Z\1:/ 9. $e f]iy´ twv]jui Â]i4t:vxfi]v«{2xh'v4Î2tx{hjiytxFi@}|À|~i@t Îvxfi#M{2ttx}~z|ªiy{Fu}~]hj{uui@t Î {sÀi4tx}ª{`|ªi4t4ÎsvxfizMi f]6Às}ª{#] vfi r'{«*vfi z]tx}ÂFÀi{Mi v}~{2]t³ ]_^`a^bA^clµ¿:º¼ vf}t twi@vx}ª{*ÎN¯Liji44|ª|%vxfijh'}ª«i4vi4t{«(vxfi'tx}~]|ªi0]xi@}tw}ª{?º¼Á>Á>Á ´ twvF B - D ]Pvxfi {xi@twM{]}~0z]2tw}{Mi vx}ª{Ft³8twi4i B DN«{#}ª]twvFi@µ¿. daeFf gihkjlnmpoqhkrtsauFviw%xzy|{}j~yVuAuzhCv6gxzhkmpo~uFvw {thCuvCo|l4yj i4|ÄshlzMi iQ }ªt#i ]xi@twi42vi4ÄÎu}ªvxfi ° {2v}~]±²F{2}~Dv$«{h'vl³®vfi!~` v0vrsMi ~} vxf]i0¨ ]x{2hjhj}~#|]]i:«{2tx}~]|ªiLi4 }ªtx}ª{ shlzMi tµÎ]tx}~] Â]i |t)ÄH vxfi + , Î6vfi # ? ~, &# î î!Üà ê .
(16) #
(17) +#*#~, @#
(18) &#*( A
(19)
(20) #', ># @ }, &
(21) L# ,
(22) & +*+# , &@ . F`vfi , +*+ t tx]fPvf]vH "!$#&%(' ` `)+*(' e$fi`tx}ª ) }t ,!±²z}ÃvÂ]i4|ª H ) .- «{ M{2tx}Ãv}~À2ijÀ6|~]i4t F /!«{2 i Dv}~À2iÀ|ªi@t ¿ e$f]ii ÅsM{]i Dv }txi4xi@twi4Dvxi4T]tw}ª,0±²z}Ãv }ªDvxi 2i ¯#}Ãvf1"!$)3254 46! )87s¿e$f]ijtwvx{2xi@ i ÅuF{2i Dvj}ªt0i i4txi Dvxi@¬]tx}~]?z}txi4¬i i4txi Dvvx}ª{©¯#}Ãvf©z}t9:;!$)<7sÎ:}B¿ i2¿¬vxf]itwvx{2xi@ i ÅuF{2i Dv}ty<]]tw}ª]i4}ª2vi 2i + = > twFfvxf]v 3 = > ? 9¿$e$f]ihj}~}ªhl]h!]h'Åu}~hh z]}ª2twi@©i ÅsM{]i Dvt4Î
(23) -¾F@)8A+AuÎ(i i4txi Ài@¬«{2 K i {]Î>vxfiTtxFi@}|#À|ªi@t']©vxfiTi {2xh'| shzFi4t4¿'e$fijh'Dvx}txtÎ |tw{ sE {¯#2t +* = (* &@ Î }t {2hjF{Dtwi@Q{«( & (
(24) |ªi42u}ª z]}Ãv B tw]fvf]v C!+D B «{2 &, , shzFi4tX] E-D B «{ @# & ]vfi *( shzFi4t4¿©º¼ tx}~]|ªi i4 }ªtx}ª{NÎ:vfi«v}~{2©}t'F), ±²z}~vÂFi |Ä¿ e$f]i «{2xh'vj}tj}ª|~|ª]twvxvxi@ {2 . sx. e x,b. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 14 13. 15. 16. 17. 18. 19. 20. 22 21. 24 23. 25. 26. 27. 28. 29. 30. 31. ´}ªij¿. fx. ´ }ª]xijH%º¼Dvxi4xF|\«{h'v#{«º¼Á>Á>Á['tw}ª2|~ii4 }ªtx}~{2 ° {Dv}~±BM{}ªDv#D]hlzMi t ¿. dae d. y j~yyv%o m xzy:|l4y j" mJvKJ sLHy;VuzmJxNM}mJxFiy; O{h'|:shlzMi txiji i4txi Dvxi@Qzsr P Q("! # % ' `P!8D B `R) * ' ¯#}~vxf1"!$)+2S4 4/!$)87u¿`t vfi}ªhj|~}}~v|ªi42u}~]'z}ÃvX}ªty|~¯$6rutT!Î}~v}t#{vXtv{i4]}~v}ty|tx{j4|ª|~i@ vxfi @@# z}Ãv@¿#´{ ]{hj|\D]hlzMi t Îu¯(i f]6Ài tV U,W ! ^ )+#¿ e$fi ui {2xh'|8Î { X+ & ÎshzFi4tlijtx]f¾vf]v + = > Y-Tzuvvfi'«v}~{2¾}ªt ]{u± K4i {[³Ø{vxf]i ¯#}ªtxiQ}~v¯({]|ª zMivxfi K i4x{ À|ªi@µ¿ º¼ vxf]}ªt 2 twi2Î#vxf]i?}ªhj|~}}~v<|~i@u}ª z}Ãv<}t]¾vfiPi ÅsM{]i Dv }tltxiv0vx{ $Z\[^] _"!$)+2¿Q½Xi ]{hj|.shzFi4t0i`i i4txi Dvxi@¾zsr ` "!$# %(' 5 ` -D B ` )baIc(dfe¿ ½Xiyv{ vxf]iy}~hj|ª}}~vL|ªi4}~l{i#}ª'vxf]iyh'Dvx}txtÎvxfi K i { À|ªiy}t>{v.i i4txi Dvz|ªi¿hg\i { }t#vfs]tyvfitxMi4}|À|ªiltx]fvxfFvX¯#}~vxf 3 = > B i-]¿e$fil]]twMi4 }ÃÂFi4Ttx}~2<z}~v|ª|ª{¯yt#v¯({ À|~i@t«{4K i {VH j-] ? -¿'e$f}t }t {2]tw}twvxi Dv¯#}~vxfvxf]ij«{|ª|~{¯#}ªx{2Fi4wv}~i@t H kmc l ?"n ] a c l n ¿:e$fivi4twvoj-o ? -0|ª¯(6rut(ivx]x]t#vxiÀ|ªi2¿ º¼uÂF}Ãvr'À|~i@tLxiXui {vxi@'zsr + = > p)8A+A ] B p-¿:e$fitw}ª`z]}Ãv$u}ªtwvx}ª2}ªtxf[email protected]v¯(i i4 n ] ?"n ¿ e$f{DtwiQÀ6|~]i4tPxi<Ftwi@ «{ {Ài ° {¯yt4¿ e$f]iQÀ|ªiSOX+Ol³rq , q *# µ'}ªt ut -¿º²v}t]txi4<v{ i ]xi@twi42vPÀ|ªivxf]v{Di@t]{vxi4xi@twi4Dv i {vxi4Qzsr + = > s)+A+AP] B, c ji4|NshlzMi @Î]tx]fTtK-vb -]Î "! {K-` n ¿Lº¼vf}ty¯({'ME Îu¯(i {]|~r{2]tw}ui4#{i4vxi4{2xr`{« G IH. OX+O³¯#f}ª|~ivfitwvF`{Às}ªi4tLv¯L{'u}\i i Dv vxi 2{}~i@tµ¿. ýðîNý®ô.
(25)
(26)
(27) !
(28) "$#$ # %&')(*# +'+,*+
(29)
(30)
(31)
(32)
(33)
(34)
(35)
(36)
(37)
(38)
(39)
(40)
(41)
(42)
(43)
(44)
(45).
(46)
(47)
(48)
(49)
(50)
(51)
(52)
(53)
(54)
(55)
(56)
(57)
(58)
(59)
(60)
(61)
(62)
(63)
(64)
(65)
(66)
(67)
(68)
(69)
(70)
(71)
(72)
(73) .
(74)
(75)
(76)
(77)
(78)
(79)
(80)
(81)
(82)
(83)
(84)
(85)
(86)
(87)
(88)
(89)
(90)
(91)
(92)
(93)
(94)
(95)
(96)
(97)
(98)
(99)
(100)
(101)
(102)
(103)
(104)
(105)
(106)
(107)
(108)
(109)
(110)
(111)
(112)
(113)
(114)
(115)
(116).
(117)
(118)
(119)
(120)
(121)
(122)
(123)
(124)
(125)
(126)
(127)
(128)
(129)
(130)
(131)
(132)
(133)
(134)
(135)
(136)
(137)
(138)
(139)
(140)
(141)
(142)
(143)
(144)
(145)
(146)
(147)
(148)
(149)
(150)
(151)
(152)
(153)
(154). .
(155) . . .
(156)
(157)
(158) . . . ðø ð ðøð . .
(159)
(160)
(161)
(162)
(163)
(164)
(165)
(166)
(167)
(168)
(169)
(170)
(171)
(172)
(173)
(174)
(175)
(176)
(177)
(178)
(179)
(180)
(181)
(182)
(183)
(184)
(185)
(186)
(187)
(188)
(189)
(190)
(191)
(192)
(193)
(194)
(195)
(196)
(197)
(198)
(199)
(200)
(201)
(202)
(203)
(204)
(205)
(206)
(207)
(208)
(209)
(210)
(211)
(212)
(213)
(214)
(215)
(216) .
(217)
(218)
(219)
(220)
(221)
(222)
(223)
(224)
(225)
(226)
(227)
(228)
(229)
(230)
(231)
(232)
(233)
(234)
(235)
(236)
(237)
(238)
(239)
(240)
(241)
(242)
(243)
(244)
(245)
(246)
(247)
(248)
(249)
(250)
(251)
(252)
(253)
(254)
(255)
(256)
(257)
(258)
(259)
(260)
(261)
(262)
(263)
(264)
(265)
(266)
(267)
(268)
(269)
(270)
(271)
(272)
(273)
(274)
(275)
(276)
(277)
(278)
(279)
(280)
(281)
(282)
(283)
(284)
(285)
(286)
(287)
(288)
(289)
(290)
(291)
(292)
(293)
(294)
(295)
(296)
(297)
(298)
(299)
(300)
(301)
(302) .
(303)
(304)
(305)
(306)
(307)
(308)
(309)
(310)
(311)
(312)
(313)
(314)
(315)
(316)
(317)
(318)
(319)
(320)
(321)
(322)
(323)
(324)
(325)
(326)
(327)
(328)
(329)
(330)
(331). ez]|~i H Á>Åuhj|~i@t{«jxi4i4txi Dvz|~ishlzMi t<F[txFi@}|À|~i@t}~ vfi tw}ª2|~i¾i4 }ªtx}~{2 ° 2{ v}~]±²F{2}~Dv(«{hjv4¿. dae G Ch vKJuFviw º²«%] T xii ]xi@twi42vz|ªilshzFi4t0³( ( A
(332) ># *#*+ µÎMvxfi4Tvxf]i0i4tx|~vX{«>vxfi0{Mi v}~{2 | h'6 r {vXzMili i4txi Dvz|ªi }~Tvxfilvi v#«{h'v³Øi¿ ]¿o!b'}ªvxfi0ui4 }~h'|txrutvi h`µ¿ e$f]ii4tx|~vyhl]twv#zFi 'v &@#*@ ¿>e$fitwv] x{Às}ui4tL«{2#x{2]u}ª0hj{si4t)H x{2] vx{ ?"n Î]i {vxi4zsr , #LH xi vx]t$vfitwh'|~|ªi4twvyh'f}ªi shlzMi X|ªx2i (vxfF<{ "!. #. %&#. $. (. '. i4D]|\vx{jvxf]i iÅv$i4tx|~v $ ¿ { n ÎMui {vxi@zDr )5 $ #H$ivxFt$vxfil|ªx2i4twv$h'2f}~]ishlzMi txh'|ª|~i4#vxfF<{ ' x{2]v i4D]|\vx{jvxf]i iÅv$i4tx|~v $ ¿ { -Îsui ]{vxi@jzsr* $ #H%ivx]x]t+(, $ #%«{2>i Dv}~À2i#D]hlzMi t.F ) $ #:«{2>F{Dtw}~vx}ªÀi ' x{2]0v shlzMi t ¿ r , $ #H(xi vx]t$vfilh'f]}~i shzFi4#vxfFv}t#vfil|ª{2txi4twv#vx{ ' x{2]v{ &#*# + ÎMui ]{vxi@zs vxfiiÅ2v.i4tx|~v $ ¿:º²« $ }t>vfii Åu2v(h0}u|ªizMiv¯(i i4'v¯({{2]txi4vx}ªÀiyh'f]}~iD]hlzMi t Î }Ãv0xi vx]tvfiP´ shzFi4¯#f{2txi'|ªi4twvtx}~2}~ÂF 2vz]}Ãvl}tlS -¬³ 3 &@}$ &#*# + #.-# µ¿ e$f}t#}ªt(vfiui «Ø|~vyx{2]u}ªjhj{uui }~vx}i¿ e$fitwvF¾xi@D}~i4t0©}~hjM{xvDv0x{2Fi4wv>r H (*'#'( v >@
(333) A ¿¬¹Ni v F/ #¬zFi v¯({ h'2f}~]ilshlzMi t40Î % T{2Fi4vx}ª{T{2« 1 ? ^ ^`a^4365] 7 vxfijvx}ªÀix{2]u}ªPhj{uuijhj{] vfi68'º¼Á>Á.Á x{2]u}ªjhj{uui4t4¿(e$f]i xi@tw|~v{\« %9# ##hl]twvzM6i 7 :%<;>=?# #H>vxfiivi4i4tx|Ãv h]twvLzMiyvxf]ii4tx|Ãv({«Ävfi{2Fi4vx}ª{`{2hjuvxi@']tx}~]l`}ªuÂ]]}ÃviX4 r ³Ø}8¿ i¿%vfiyvfi {2xi vx} | {2Fi4vx}ª{ %<;>=2µy] vxf]i <{]i4Ä¿(e$filtwvFPi4D}ªi4t(vxf]iltxhji x{2Fi4wvr`«{#vfilt2Fi {s{v#{Mi v}~{2N¿. dae. A@. hCv Cy jAuzh%v j"u<o lnyVo~uF. B. DC. N. OI. 6EFB. $. hCl.Hm juFhCvUmJvKJ. HG. y im auFhkjquv I 0C. KJMLLL. gxzhkmpo~uFvw {thCuvCo. $e f]i twvF ui Â]i4t0{2sÀi tx}~{2¬{Mi vx}ª{Ft «{h }~Dvi i4tvx{¯$t ° {2v}~]±²F{2}~DvshzFi4t ³8´ OXµÎs«x{2h·´
(334) OtLvx{¯$t>}ªDvxi4i t4Ϋ{h·´ OXt.v{¯(]t>}ª2vi 2i t.i i4txi Dvi4j]tx}~]0´
(335) OÎ zMiv¯(i i4<´
(336) Ot#{«%u}\i i Dv#«{h'vt]PÂ]]|~|ªrÎzMiv¯(i i4z}~FrP]ui@}ªh'|Ni i4txi Dvvx}ª{Ft «{2y}ªuQv P6{vxuv@¿(e$f]i{hj]x}tx{]t#ui Â]i@ }ªvxf]iltv]] xi HL0Î R Î S F ]{u±²{ui i4N¿ î î!Üà ê .
(337) #
(338) +#*#~, @#
(339) &#*( A
(340)
(341) #', ># @ }, &
(342) L# ,
(343) & +*+# , &@ . e$f]i?twvF twMi4 }ÃÂFi4tPvxf]v & a),
(344) A ,
(345) " '# ' |+& ~v @ ,<# # *# ~ -) , F ~# - #,
(346) (* < ¿<¨L{]txi4Di4Dvx|ªrÎ tx{hji ° 2txi'ui Â]i@¾}~¬{2ui4vx{<}ªu«{h vfiPtxrutvi h zF{2uv`vfiQzMi f]6Às}ª{`{«ltw{2hji<{Mi vx}ª{Ft ¿ ´}ªÀi ° 2t`xi?uiÂ]]i4 }ª vxf]iQtv]]VH
(347) - , @ {2Fi4vx}ª{P³vxfi(i4tx|Ãv%}t OX+ OµÎ - # a ³vxfi$i4tx|~v}tk] n {2*vfi(|ªx2i4twv i i4txi Dvz|ªi>shlzMi i Mi ]u}ª {2 vxfiQx{2]u}ª¬hj{uui@µÎ &@# a ³®vfiQi4tx|~vP}t ]-¾{¬ui {2xh'|yshlzMi µÎ @, -) + , q # ³vxfii4tx|~v}t ] n µy]
(348) ># ? (#+X ³}twi@P¯#f]i T<{2Fi4vx}ª{}~sÀ2{|ªÀi4t# ]{u±²iÅv(i4tx|~vµ¿. X /9 6 3 58Z O Z 9 4 1 36580 / 9 O /
(349) S 365 9 Z 583 9 8 5 X S /&O Z 3 1 . 0 7. e$f]ikuey«Øhj}~|ªr¬{«f]}~2f©Mi x«{hj]i |~{¯ M{¯(i 0¸X¹Nº¼» {s i4ttw{2l{2xi@txiPvx2ivxi@ v ke#n<}ª x{si4|~i@vx{]}ª4ttwrutwvxi4h {2©f}ª]t ³Bk ¨$µtx{|ªuv}~{2]t «{2l]txiP}ª©{2hjuvvx}ª{]|~|ªr}~Dvxi4]tx}~À2i |ª}ª4v}~{2]tyt'f{2twv{2T]u}ª{'{yÀs}ui {`]x{ui@txtx{@¿(ku]fT]|~} vx}ª{]t#}ª] |~]ili hzFi@ui@ txrutvi h't$}ª {]txhji @Îuu}ª}~v| e$¸ ] vxi4|~i@{hjh} v}~{2 h' E2ivt4¿. aeFf s dTgamJlnux hkr M {}jh>y;hkj hkjy !. 6J. B. e$f]ilkuey2l}ty0«{]#}ªttw]i ¸X¹Nº¼»q{ui4ttx{#]}tytx}~2}ÃÂM Dv|~rPtx}ªh0]|~i4y]txhj|~|ªi $vf]< i@D}~À|~i42v«{y}ttwitwMi x±¼tx4|#{ui4ttx{@¿(e$fi{hj}ª|ªi y}tiE2i r vx{`2i i4vxiÎFtxfi@u|ªilF z]]u|ªi{2Fi4vx}ª{]t4Îi hj{Às}~]Xvfi]i i4'vx{l2`{2hj|~i Å0fFu¯(xi(v{f]}~i4Ài$vxf]iXthji#xi@tw]|Ãvt ¿ e$fikeyui@tw}ª0{}~2}~Fvxi@t «x{2hvxfiy¹ xi@twi@fl{ i@v:tvxvxi40t:L {2}~Dv.ui4Ài |ª{]h0i4Dv zs r yi4¯#|~i vwvx±B:* E¾|zM{v{}~i@t] kue#n<}{Di4|~i@vx{2}ª4t B D#u{]iPzsr¬{Dtwf©´}twf]i j]¬f]}ªt vi4h«{2}~Dvi }ªh'2}~ |ª} v}~{2]t4¿kue#n<}{Di4|~i@vx{2}ª4t#f]2twi@vxfix}ªfDvt#vx{ i Ài4|~{2 vfi¹ f]}Ãvi4vi B D ]`v{`i4vxivxfikuey0{ui4ttx{L«Øhj}~|ªr¿ ´}ªi0Pu}ªtx|6rut#vxf]iz]2tw} {2xD} K4vx}ª{{«.kuey2'{s i4ttw{24¿Xe$f}ªtX{ui4ttx{yi Åsi@uvi4t ]Qv{ 8{2Fi4vx}ª{]tXFi4ru|ªiÎ*¯#}Ãvf¾h'Åu}ªhlh {«L{2i'{Dvx{2|{2Fi4vx}ª{ ³{vx{FÎs hjNÎ 4|ª|8Î ivFµÎ{2i$hji hj{r {Mi v}~{2³Ø|~{DÄÎtwvx{2xi2Îi«ivfFµ%Fv¯({Xh|~vx}ª|~r{Mi v}~{2]tFi4>ru|ªi¿ |~|Nx}~vxf]h0i vx}}ª]twvx]v}~{2]t({Mi viX{2P}ª2vi 2i $À|ªi4t4Îs¯#}Ãvf {2Fi4]t(zFi4|~{2}ª0i }~vxfi4(vx{0vxfi i4i |(#i 2}ªtwvxi4lÂF|~i³ 2 8 ` 8)±Bz]}ÃvµÎ:{vxf]i I(]f #i4}tvi Â]|~i³ 0 `@!±²z}~vµ¿e$fihl]|Ãv}~|ªr }ª]twvx]v}~{2]t(ii4twvx}ªvxi4'vx{ !$2`8)±Bz}~vL{2`vfiXi@|~}ªi ({2xiXÀ6x}Dvt ÎDzuv$f]6ÀiXzFi4i xi@i Dv|~r i Åsvxi Fui4`vx{ 8)6±²z}~vLzsr 8)±Bz]}Ãv(}~Dvxi4i4(]'«vx}ª{]|Fh|Ãv}~]|~} vx}ª{P{2`vfikuey - {2xi2¿%e$f]i i }t#{`}~Às}ui }~Ftvx]vx}ª{zuv'}~Às}tw}ª{tvi <}ª]twvx]v}~{2tx}~vz]|~i«{2 8)±Bz}~vyu}ªÀD}tx}~{2N¿>º¼{ui v{?i4]iPvxfi]txi {«X{2]u}~vx}ª{]|$z]fi@t Î%vfikeyQ{s i4ttw{2|ªtx{Q{Às}ªi4t0{Fu}Ãv}~{2]| txi |ªi4vx}ª{}~Ftvx]vx}ª{]t4¿ e$fi<kuey«i@vx]xi@t?|ªi4*Î>{hj}ª|ªi x±8«}~i4]u|ªF r 2±¼tvi'}ª]twvx]v}~{2©}ªMi |ª}~iui4}ªvxi@ }ª ´}ªi - ÎD¯#fi4xiy|~|F{Mi vx}ª{Ft>i$«|ª|~rj}ªFi4|~}ªi@Ä¿:y|ªh0{Dtv$|ª|]{2Fi4vx}ª{j|ªvxi4]}ªi4t>x"i !Xru|ªiÎ hji@}ª0vxf]vyvxf]i xi@tw|~vy{«:{Mi v}~{24zMi ]twi@}~vxf]iiÅs"v !$#&%('&)+*6¿(ku{hji}~]twvx]vx}ª{]t fF6Ài ±² rs |~i |vi ] r¬³|ª{2NÎ]hl]|Ãv}~|ªrÎÄ {hj]ivx{Pz]fFµ${2}ª<{i txil 8±² ru|ªi |ªvxi Fr ³Ø|~{D |ª}~ E i 2}ªtwvxi4- ,/.pvx{ |ª|®µ¿^kDvxvx}ª¬«{h vxfi¾kuey - ¬hji hzFi4P{« vfikey«Øhj}~|ªrÎ |vi ] }~i@tiji u«{2 i4¯#}~vx f 01%32*546)87:9<;$=4ÎÄvxf]vli Fz|ªi`tw{2hji'}~hjM{xvDvl {si`tw} K i'i4uFvx}ª{¾zsr. ýðîNý®ô.
(350)
(351)
(352) !
(353) "$#$ # %&')(*# +'+,*+ Exception Control. IPU. Pre−Decode. I$ 32KB. . 16x32 Mult. 16x32 Mult. DPU. Control Reg’s. Reg File. Load. D$. 64 GPR. Store Unit. 4 set 32KB. (32b). Br RegFile 8BR (1bit). Branch Unit Cluster0. ALU. ALU. ALU. Prefetch buffer. ALU. Cluster. ´}ªi H:e$filkuey¸X¹*º¼» {ui@txtx{$f}~vxi4vxi¿ i hj{Às}ªvfi 3% 7 ={2Lvfi }ª#i4D}ªÀ|ªi Dv(vxf]vyhj6r'zMi {vfi ¯#}twii i@ui4Pvx{j2]Dvxi4iX0{2xi4v tfi@u|ªi¿. ae d iy s d /. h%lsH uFxFy j ke#n<}ª x{si4|~i@vx{]}ª4t*ui4Ài |ª{Mi4 vxfi ({2hj}~|ªi z]2twi@ {lvxfi XFi4]vxi@f{|ª{2r B )DF vfi¹* {si{vx}ªh0}K i4 B ²D Îu}ªP{ui4.v{li | iyvxf]inT|Ãv} ° {¯ e* ikufi@u|ª}~]0 {hj}ª|~i4 B D {2x}ª}ª]|~|ªr']txi4{vfi¹ ]x{ui@txtx{@¿>e$fi
(354) {2h0]}~|ªi y¯$t$i |ªi42twi@P}ª<i4x|ªr - F }t#]xi Dvx|ªrP2vx}ªÀi4|~r`i Ài4|~{2Fi@`v{`tw]F{2wv#i4¯ key0{2xi@t$]À6]i@P{2uvx}ªhj}L@K v}~{2]t ¿ e$fi0kue#n<}{Di4|~i@vx{2}ª4tkuey0{s]v}~{2T{hj}ª|ªi
(355) l}tyz]2twi@{vxf]i O ] {2hj}~|ªi y«x{22vx±Bi4]<{2hjF{2i Dvt4ÎvfiXMi ]P{2hj}~|ªi yvxi4f]{|ª{2r B )BD Î\'2|~{2z]|N}ªu± twvx]vx}ª{Qtfi4|~i4 uvxi@«x{2h vxfi'kue@P¹ {uui0i4i v{ B ²D ÎN?}~Ftvx]vx}ª{ f]i {2uvx}ªhj}L4K i B @ LD }ª]|ª]u}ªtw]F{2wv«{2ui@¬ {siPi |ª}ªh0}ª]vx}ª{ ³Ø½ ¨LÁLµÎ%i4¬]vTi |ª}~hj}ª]v}~{2 ³8½X½XÁLµ#]Pvxfi O2txtxi hz|ªi @ÎD|ª}ª~E i4$] z}~Fr'uvx}ª|~}~vx}ªi4t4¿>e$fi XMi ]0 {hj}ª|~i4$f]t$zMi i4 !. I. B. i±Bvx2ivi4?«x{2hpvfiPº¼Dvi |(ºTvx{Tvfike#n<}ª x{si4|~i@vx{]}ª4tlkuey2ÎiÅi4uvl«{2vfiP}ª]twvx]± v}~{2`i4u} vx}ª{NÎ2vxf]iX2|~{2z]|M{uuih0{vx}ª{Q³ ¨(nQµÎDvfiX}ª]twvx]v}~{2Ptfi4u]|~i4(]jvxf]itx{«®v¯$i ]}~Mi |ª}~]i '³8ks» (µ¿Äº¼]ui4i4Tvxfi@twi0{hjM{i4DvtMi4xi@vx{ zFivx{s{ui Mi ]i Dv{2<vxf]iºX w± f]}Ãvi4vi<xi@u} vi4 iÅui4 uvx}ª{ hj{uui |X] { }~vt`txM{xv`{«hj{uu|ª{ txfi@u|ª}~]¾vxf{2f {vv}~0i }twvxi (Â]|ªi4t4¿ º¼Qvxfi
(356) 0{hj}ª|ªi @ÎFvfi XMi F ¨(n ]Qku» [{2hjF{2i DvtXili | i4zsrvxfi key¹ }ª]tvxFvx}ª{¬tfi4|~i4 Ptx{«®v¯$i}ªMi |ª}~i44ί#f}f¾}ªt2v}~Àvi4¾v{2uvx}ªhjL} K@v}~{2 î î!Üà ê .
(357) #
(358) +#*#~, @#
(359) &#*( A
(360)
(361) #', ># @ }, &
(362) L# ,
(363) & +*+# , &@ . Fetch Phase. Decode Phase. Read Phase. E1 Phase. E2 Phase. Write Phase. Multiplier. Register 128−bit ICache. wide Word. IBuffer. Access, Immediate. IU Register Rollback,. and. Load. Operand Generation. Store. Writeback and Bypassing. DCache. Fetch Address Generation. PC and Branch Unit. Exception Generation. ´}~2xi - H>e$fikuey2l{ui@txtx{$}ªFi4|~}ªi2¿ |ªi À2i |F¿<(v{2uvx}ªhj}LK@vx}ª{¬|ªi À2i | Q]¾zMi |ª{¯ Î%{|ªrQvfi XMi F<z]2tw}'z|ª{u*E?}ª]twvx]v}~{2 tfi@u|ªi $}ªtv}~À2i¿ º¼ ]u}Ãv}~{2NÎ#4i4ttvx{¬}ªDvxi 2i `] ½ks x}~vxfhji vx}«x{2h ¨] ¨ }t`txM{xvxi@©zsr iÅsvxi4]tw}ªÀiTtxiv`{«
(364) "
(365) + ( >( + ¿ e$fi«Fvx}ª{FtPui Â]i4 }ª vxfikuey2|ª}ª4v}~{2 .x{2hjhj}~¬º¼Dvi x«Øi?{ÀD}uiQ2 i4tt'vx{ |~{¯$±²|ªi Ài4|y«i@vx]xi@t Îtx]f¶2t kuey¬|ªi42u}ªqK4i { {Dv}ª]twvx]v}~{2¾]?vx{Thji@u}~]h |ªi À2i |:«i@vx]xi@t Îtw]f¬2tvxfi tv]Á.eykuº B DL]¾ºe B @ D * + ( '# ,$,*+ ¿%|~|F}~Dvx}ª]tx}ªL«]vx}ª{]t.i(i@twMi4 }ª|~|ªr{2uvx}ªhjL} K4i40zsrj¨©]'¨ Q {hj}ª|~i4t ]i|ªtx{jui |ª}~À2i i4t#twv]¨ hj{uui |t(«{y|ª}ª4vx}ª{À|ª}ª]vx}ª{{<0¯({' Estwvvx}ª{N¿ e$fi}~Dvx}ª]tw}$«Fvx}ª{Ft.txM{xv.f]t>zFi4i j«|ª|~r'ui4Ài4|~{2Fi@}ª`ttxi hlz]|~r|ª]i2ÎÀ|ª}ªvxi@ Ftw}ª$vxf]i }ª%¨?twi4h'Dvx}%hj{si |t*F #½Xv i4i v}~{2¹ 2]2i B - DD]xi4i4i vi4vxf{2f uvx{2h'vx} ° {¯ t$iÅu]]tx}~{2P«Fvx}ª{<}ªvxfi XMi FP¨ º }~Dvxi4xhji@u}ªvxi i i4txi Dvvx}ª{*¿ e$f]i{2hj}~|ªi Xi }~vxfi4X2i i4vxi@ty{Mi ?{uuil{2i4h0}~vt4|ª|*v{P|ª}~zr`«]]v}~{2]t ÎÄ|ªi42u}ª'vx{ Ài4xr iG`}ªi Djv 2 80z}ÃvtyF ½ks }Ãvfhjiv}ª¿>e$fi|~{¯[|~i4Ài |\}ªDvxi 2i #}~vxfhjiv}ª txM{xv#u}~i4vx|ªr`]txi4t vfi }ª2vx}ª]tx}ªX«Fvx}ª{Ft ¿. ae. vuzo uFmJx gxzhCm;o~uviw { h%uFv%o uzj~m j$ yju Cy J6r*j~h%l shkr'o~gxzhkmpo e$f]i ° {Dv}~±BM{}ªDv0txM{xv0}tj?i }~À2i4 ¯({'? E «x{2h {2f X]txi tjks{«®v´|~{Dvj]*Ei B ,DBÎ Ftw}ª?vxfi:2 ±Bz}~vjÀ6x}Dv0{«yvfiº¼Á>Á>Á( ° {2vx}ª±²F{2}~Dvj}~hj|ªi hji42vv}~{2NÎ>zuv2E i i ]}~?{|ªr {2ix{2]u}ªjhj{uui`³{FPv{'i4xi@tv#i4Ài MµÎi hj{Às}~]0ui4{h'|NtxM{xv] ]tx}~]`twMi4 }ÃÂF }ªDvx}~Ftw}X«]v}~{2]tytx]ft#{2Dv#|~i@u}ª K i4x{0vx{jD}ªtxFi4i4Ä¿ ! "!. J. C. 8. ýðîNý®ô.
(366)
(367)
(368) !
(369) "$#$ # %&')(*# +'+,*+ /&X S O Z X[Z\0Y14Z\7 O / 3. 3. e$f]iXi4txi Dvi4'i4¯ |ª}~zrj}~hj|ªi hji42vt$tw}ª|ªixi@}tw}ª{ ° {2vx}ª±²F{2}~Dv$|ª{}~vxfh't:«{2(vxfiXÂ]Ài zFtx}ª{Mi v}~{2]t ? ÎI Îk`#Î"b0]tc ¿>½Xi ]{hj|ÄshlzMi tyt$¯(i |ª|Nt#vxfi«{2#x{2]u}ªjhj{uui4t {«#kui4v}~{2 u¿ - ij6À}~|z|ªi']?vfi`]txi h'6rf{s{2txiv{<]txijvxfi4h {2 {v@¿ º¼¾vx}iÎ ¯Li fF6Ài0v¯L{<À2i tw}ª{Ft{«$vxfiP|~}ªzr&Hl{i`¯#}~vxf]{uvvfiPui4{h'|>shzFi4tP³|zMi |ªi4¾¯({ P½µF {vfi ({]iX¯#}~vxf vxfitxM{xv({«ui4{h'|MD]hlzMi t³Ø|ªzFi4|~i@`<¯ P½µ~¿ IL{vxf Ài tx}~{2]t.xi]txi«| i Mi ]u}ª¬{2 vfivx2iv`]|~} vx}ª{N¿ e$f]i<}~]uv F {2uvx]uv`{« |ª||ª{2x}~vxf]hjt'xi<tx}~]|ªi ]xi@}tw}ª{j´¬À6x}z]|~i@t#³i i4txi Dvz|ªi(shzFi4t>{>txFi@}|À|ªi@tµ¿:¨Li Dvx|ªrvfi ° Dt>i${v fF]u|ªi4NÎ*|ªL} E2i'}~¾vfi`i Dvl´ tw]F{2wv {«$vfiPkuey2¿Pe$f]}ªt ¯#}ª|ª|>zFi ui4|Ãv¯#}~vxf}ª «uvxi ¯({' E\¿ |~|NzFtx}ª{Mi v}~{2]t$ zMiui@{hjM{2txi4 }~Dv{vfi«{]#f]txi4t$zMi |ª{¯ H § È ¦ Ì Ì
(370) ¢ Ì È ¤¥ Í¢ ´]{' {2Fi4] ¥¢ È T p «{2xh'vxvxi@ t0}ª kui4v}~{2¾¿~2ÎN}~vt«v}~{2 B }t uiÂFi4¾tvfi ),±Bz}~v }~Dvi i4i4D]|%cvt{ dfdc l c l }~vtz]}ª2twi@ i ÅuF{2i Dv += > }tui Â]i@ tvxf5i 0±²z}Ãvz}ª2twi@¾}~Dvi i4 += > ? 9ji@2F|>v{ l d PF ¯#}~vxf zsr 9\"!$)87 }~vt$tx}~2 }tLui Â]i@Pt.vxf]iXz}~v c ¿>½Xx}ªlvxfi{2h0]uvvx}ª{NÎ2vxf{Dtwivxfi i À|~i@t#i tv{i4`}ª 8)±Bz}~v#}~Fu}~Às}u]|Äxi4}tvi t ¿ ¥¢ È § <¥ Í ¢ È ¦ 8¥ !¥ È ¢ º²«y¬{Mi F?}tl<txMi4}|LÀ|ªiPtx]f¬_t ] n CÎ ]{2N OX+ OÎ>vxfixi@tw]|Ãv0{«yvfi {2Fi4vx}ª{¬}t ED]{¯# }~ uÀ]iP]¬vfs]tli4D}ªi4t{Qshji } | {hjuvv}~{2N¿¾¨L{2]tw}ui4«{0iÅh0]|~iPvxfi 2twi`{«yhl|~vx}ª|ª}ª4v}~{2NÎ:¯#}Ãvf{vjui4{h'|t ¿ ³Øe$fi thjii h'' E ]|~}ªi4t0v{¬{vxf]i '{Mi v}~{2]t4Î.¯#}~vxf {'¯#}~vxf{2uvPui4{h'|t ¿Õµ!e$fivz|~izMi |ª{¯ }ªtx|6rst$|~|ÄvfiF{Dtxtx}ªz|~i À|~i@t${« vxfi {uu]2v 7 `# #L¯#fi t <{2? #`}ªt#'txMi4}|ÄÀ|~i2¿ OÎ # OX+ O ?"n n ? - j- {vfi O8 O OX+ O OX+ O O+ O O+ O O8 O OX+ O ?"n ?"n OX+ O n O+ O O8 O ]n ?"n n OX+ O n O+ O O8 O ]n ? ? OX+ O OX+ O O+ O j]? jOX+ O OX+ O O+ O j]{vxfi4 OX+ O ] n ] n ]- ]- 7 t`# # ÂFtwv>}~hj|ªi hji42vv}~{20{«FvfizF{À2iLvz|ªiy jzFi txi4Di4]i${«M«{2 w}ë®±Bvxf]i u±²i |twi vi4twvt:{2 vfi>À|ªi@tN{« += > F
(371) " = > ³]txi Fu{±¼{uui>{2vxfi.|~i «®vµ¿ y{¯(i À2i @Î {2i. fi4* Evxf]v 1 += > ^
(372) " = > 5# t $¯#}~vxf¬{]|~r?{i w}~«®±8vfi u±²i |txi vi4twv«®vi 0 h'Å {2h0]uvvx}ª{ ³]txi Fu{±¼{uui'{2 1 -~^ )+A+A 5 % vfi}~2fDvµ¿$e$f}t$«{|ª|ª{¯yt$«x{2hvfi «Ø2vyvf]vyvi4twvx}ªjvxf]ii4D}ªÀ|ªi DvX{2]u}~vx}ª{ 1 += > 1!^ " = > !M5&# 18"!^f)+A 8O5'$j}tyi42tw> r H>}ª]ui4i4ÄÎM}ªS ) ty{2h0]|~i4h0i4Dvxi4i4txi Dvvx}ª{, )(* ) c ?,+ l ( [ ) [ Î "!] )+A 8`iXvfi{2|~r}ª2vi 2i t$}~vfi2:i 1<"!^ )+A 8 5tx]fvxfF/v ( c '( cd '[.- (1l0u!¿ O{¯¶ui4{vizs3 r 2 3= [ ]3 2 " = [ vxf0 i z}~vt${« ~ E54>«{ 3= > !] " = > !xi@twMi4vx}ªÀi4|~r`]P|ªiv 0 t $ }ªt 2 + [6- 2 += [ ) [ ]5 2 " + [.- c 2 " = [ ) [ ¿%»itwi4iyvf]vL {]}Ãv}~{2 1 += > ^ 7" = > 58# 1$-^f)8A+A 5 9 c i@D}~À|~i42v#v{P{2]u}~vx}ª{; :5<>=m2 ^?2 " #
(373) i)8A 8]¿ yi4]i vfilFtwi4]u{±¼{uui {2vxfi}ªfDv4¿$e$fi2{2| f]i i0}t v{Â]|~vxi |ª|:vxfi`txMi4}|.À6|~]i4t4txi4t}ª{2|ªrQ{]ijvxi4twvP³Ø]¬{Dtv|~r` hjFµ tx}~] ijvxf{Dtwi À|~i@tLxiXiÅsvxi hji4|~rji¿ X'vxfiXvx2iv(x{u i4ttw{2>vxf]/i :[email protected]Î :5<>='{Mi v}~{2]t.xiXiÅui4 uvxi@`}ª {2|ªr`{i rs |~i2¿ î î!Üà ê .
(374) @1 #
(375) +#*#~, @#
(376) &#*( A
(377)
(378) #', ># @ }, &
(379) L# ,
(380) & +*+# , &@. . 3= > )+A8A £ È B p t - £ È " = > )+A8A ¥ " = > p- £ È ¤ È £ *¤> n 7" = > )+A+A £ È B " p t - £ È È += > `- £ ¤ È £ *¤> n 3= > p- £ È " = > p- £ È . ,. ¤ È £ *¤> t - £ È ¤ È £ ¤> Í B " ` ¤ È £ *>¤ OX+ O . ]. . . ¤ È £ ¤> # ¤ È £ ¤7 O+O ¤ È £ *>¤ ]¤ È £ >¤ ]- . ]. . #. . . ^. 2 :5< =m 2 ?2 " # 2p)8A 8 £ È += > p)8A+A £ È t - £ B ` È ¤ È 7" = > p)+A+A ¥ Í 7" = > `- £ È ¤ ¤ È £ ¤> n += > `- £ È " = > p)+A+A £ È ¤ È £ ¤> - ¤ È £ *¤> <# . . . ]. . . ]. ]. £ ¤> B " ` t - £ È ¤ È £ ¤7 È £ ¤> O8 O ¤ È £ *¤> XO +O. ¥¢ È § Ì £ £ È ¤ È ¢ £ ¹*iv $ 7 % # # "!$# % ``!+D B `@) * ] |ªiv ? !$)<7s¿%º¼i ]i |BÎsvxfi {2hjuvvx}ª{{« Î &= > Î B i4D}ªi4tLÂ]Àitxz]twvxi4]t)H ¨X2¿>½i@u]i «{h F " ] 2i4tt = > «{h += > F 7" = > ¿ ¨$¿L¨L{hjuviXvfi h'Dvx}ttx % " ¿ ¨ - ¿:º²« Ut W !^ )+#Îu{h'|ª}LK4i ]\vi = > ¿ ¨LF¿>#{F 4{u}ªv{jvxfi {]]u}ªhj{uuiF7M¿ ¨$¿:º²« 7 # Ut W !^f)+#Îu{h'|ª}LK4i FP\vxi &= > ¿ º¼ vfiQ4txi<{«ui ]{hj|y}ªuvD]hlzMi t Î(vxf]iQi4 i i4}~ twvxi4]tP4 zMiTi42tw}ª|ªr ]uvi4Ä¿ e$f]{2txil 2twi@ty¯(i i Â]|~vxi i4T}~?f]txi I FTui4}ª4vxi@T{uuiFi4w«{2xh'tyvxfij{2h0]uvvx}ª{<}ªTvxf]}ªt 4txi¿XÁ>Ài4T}ë:vfi0}~]uv{2Fi4]tXi{h'| D]hlzMi t ÎÄ`ui4{h'| xi@tw|~v4T{u4u}~ vfi |twv$Fxv${« vfi{2hjuvvx}ª{NÎuz]uvy}Ãvt$vxi4vxhji Dv#}t#2]}Ãvitw}ªhj|~i2¿ º¼¬vfi`i Åsvl«{]0ksi@vx}ª{FtP³F¿~ ]¿ DµÎ%¯(i`¯#}ª|~|(2]}ª* Es|ªrui@tx x}ªzMi'vxfi |ª{}~vxfh't«{2li42f {2Fi4vx}ª{ }~vxf]}ªt#]f]txi¿ ¥¢ È ?§ È £
Documents relatifs
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,
Unité de recherche INRIA Rhône-Alpes 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4,