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The Data-Parallel Programming Model: a Semantic Perspective (Final Version)

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(1)The Data-Parallel Programming Model: a Semantic Perspective (Final Version) Luc Bougé. To cite this version: Luc Bougé. The Data-Parallel Programming Model: a Semantic Perspective (Final Version). [Research Report] RR-3044, INRIA. 1996. �inria-00073648�. HAL Id: inria-00073648 https://hal.inria.fr/inria-00073648 Submitted on 24 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. The Data-Parallel Programming Model: a Semantic Perspective (Final Version) Luc Boug´e. N ˚ 3044 Novembre 1996 ` THEME 1. ISSN 0249-6399. apport de recherche.

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(68) .   . . . . " - "#. !(.   . ( . h ‡ ag¤ MjT]qMXJHW a ` U$a Wf{ a a žj‡ ¤ Œ ` aqWf` hWf`VjHa h ` ¥ ` WfjHiM `^¤ ‡ ®Oco¯ïe.‡ M `‹Ñaqa ` N` Mh­ Wfjˆ_ M[ \VMjHU ‡t MlU^MNTWZj \ I‡ iJH‡UV\^YHhHaq] ` a j\ J M‡ i ag`^a ` Mui\^jHMuU^U aZ `Va iM `` \W ‡ j hMU {qjCNˆMu\ h Œ { MU J ‡` e ag` { WZNU/` “ \V\^Mj J j© a Wa M‡  U ® `^a Œ WfjH{qY.WZ­ {qa MP® g‡ o¯^Ž ` ­ U “ _ ‘CWZeHeHŒ MU`^\ a œ$` iuiXWZaZN  e J { ÑaqWZ` NU WfUý“;MŒŒ‹Ž ‹jˆMUVU^MjiMqžL\ M “ ‘ˆWfhHh MuU^U^Muh•\ M ŒŒ “ jH{e vHŒMN•Ž jHU hHM W ® ¶€·¸HWZŒŒMŒe { WfN \ M N . ¦. § ž¦.   .  . §. . ˜9jHhHM ` “ J ‡ i J i a Hj h ‡ \ ‡a j ‡ U ‡ \UVMNWfj \ ‡ iXWZŒŒ]lM  Y ‡t WfŒ8Mujn\\ a \ J M  a Œ Œ a “ ‡ jH{  ZYHMujn\ ‡ WZŒ/e `^a { ` WfN . $ '&. ¦. ‹jŸ\ J. . § %¦.  !  . §. . MC\^M `agN ` ‡ j a Œ a {q] fa  \ JH‡ U9eWZe.M ` ž0YHjHhHM ` “ HJ ‡ i J i a jHh ‡ \ ‡a jTiXWZj‰Wi a j \ `Va Œ2Š'e.W ` WfŒŒ8MuŒ/e `Va { ` WZN v.M ` MiXWfU^\ ‡ jn\ a WâhWZ\WcŠ ` e.W WfI Œa Œ8MuŒ N   ‡ ag` J {qM\$W MuMŒ j{ \ M UVYHvH\^ŒM\‹] af \ J M  YHMuU^\ ‡ a /j žHi a jHU ‡ hHM ` \ J M Ña ŒŒ a “ ‡ j{ ­ ® _ e `^a { ` WZNˆU%f [ff® 4 ¾

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(76) ,6w a -6$\& % ` Ž  U a a vHU^M a`Vt Mhv a]ˆt \ J ‡ M WfYH\ Jaq` UcJ ž hMU {q`$j ‡ j{•‡ a W ‡® a eW WZŒŒMŒ;e a { a WZN!‡ WfU WŸJ U^M  YHMu‡` jHiM `Va ` i NNYH‡ j JHa iXWZ\ j Š‹iŒ U^Mh‡ ‡Œƒa Wc]qM U Wfa ŒŒ “U jHMJH`^\ a ‡¤ WZŒ h‡a WZ\VMIMXWZJHi ‡ Œƒ‡ Wc]gM J ` j ÑaqU ` ŒƒWZ\ JH‡j/žJ WfjHhA]qMu‡\)` \ i Nˆ`Va e ŒM` \ MCaZM j \ M ` e  `^` { WZN “ \ %$ hYH\6WZj T]AaqWZ(` hHh , \ g.jWf-nŒ/ {qŒ +v WZwŒ§ U^] jHi j `Vt WZ\ j/aŽ J U U\ M M MAW { Œ8]ŸhHMU WZvHŒMe e.M \‹] ž \VMj M M Mh’WZU ŽTœ$vU^M MWfŒU \ Wf\ WfhHh ‡‡ jH‡{ a W U^] jHia JH`^a j ‡a ¤ WZ\ ‡a jˆv.‡ W `^`V‡‡Ma ` WZ\\ J MMjHh aZ W ­ ® _ e `Va { ` WZN NTWZ‘qMuU ‡ \ýi a NˆNYHj ‡ icWZ\ ‡a j Š‹iŒ a UVMhWZ\\ J Mi a UV\ af WZj WfhHh \ jWZŒ.{qŒ v.WZŒ.i NNYHj iXWZ\ j/Ž   _"WzF6E( Nž`b_:"<GF6E - ?Q:BENOZ\<GW  ?= 0 _ž<z_ . _ž=@_"U6UNOU6F6W `  U U JHa “j WZv aZt Mgž \ J MhWZ\WcŠ‹eW ` WZŒŒMŒ e `^a { ` WfNˆN ‡ j{N a hHMŒicWZj v.Mˆi J W ` Wfi\^M `V‡¤ Mhv ]•\ J M ™  aZ ¶j·¸nAe.W ` Wfh ‡ {qNž \ J WZ\ ‡ UcžHWCU^M  YHMj \ ‡ WfŒ/i a Nˆe a U ‡ \ ‡a j af Wfi\ ‡a jU a j a v b Mui\^U9“ ‡ \ J eW ` WZŒŒMŒ/WZiiuMU^UcŽ ‹jT\ JH‡ UU^Mui\ ‡a j§žH“;MlU JHag` \VŒ8]hHMUVi `^‡ v.M $.t M  YHjHh.WZNˆMujn\WZŒLUVMNWfjn\ ‡ i)i a jHiMueH\^U ` MuŒ Wf\^MhŸ\ a \ J‡ U9eW ` WZh ‡ {gN•Ž  ŒŒ af \ J MN iXWfjAv.M a YjHhTN aq` M aq` ŒMU^U9M[ eHŒ ‡ i ‡ \^Œ] ‡ jCe `^a { ` WZNˆN ‡ jH{ŒƒWZjH{gYWZ{gMUU^Yi J WZU ­  ® mgo ¯ ag` \ J M ­ dŠ (®Åm ¯/WZjHh ­ dŠ ®Åmqm ¯^žnd _ ¢² ®'¯ aq` \ J MdAWZU _ W ` d _ Š"O ®'¯^ž ©9] eM ` ­ ®'(¯^žLWŒƒWZjH{gYWZ{gM ag`^‡ { ‡ jWfŒŒ8]hMU ‡ {qjMh aq` \ J M _ œd _ NTWZU^U ‡t MŒ]eW ` WZŒŒMŒ® ^dA³NTWZi JH‡ jHB M ®'q_ m ¯^ž ` ¥ aq` _ \ ` Wfj•wqo ­ ­ ­ ‡ ^ `  ‡ t a  ‡ a q a ` `   q a ` J _ g a ` `   q a ` J WfjHh \^J UhH` M Mhi ‡ NˆJ eWf_ j `‹ÑjHaqU` dŠ ¥ \ aq` Wf‘j ` ®ÅmHkO ¯ _ \ M dIJŠ WZ` jHh `d‡ Š ž/` d Š ¥ ‡ \ WZj aq` \ MˆdA‡ WfU W ` d Šî\O ® ‡ga x ¯ WfjHh \ M MiuMj B\ © { M NTWZjHiuM ¥ \ Wf‘j © ¥ ®*O ¯^Ž M MXWfhHM j \VM MUV\^Mh jWAN MhHM\—W Œ8Muh e MUVMj \—WZ\ j \ a {gM­ \ Ja M ` “ ‡ \ J W aq` N.WZŒU^MNTiWZ0%j  \ ‡ i&U ‡U`  M  M ‡ `^` Muh•\ a aZ®  ¯¢WfjH$ hT\ J M a \ J M ` `%i aZa Y j \,`^‡ vHYH.+\ ‡8+a %j + ‡ j- \ JH ‡ U tga` ŒYHNˆ"M ® %p ¯^Ž a ` t W `^‡ WZvŒ8jHMiM] eH‡ M\VŒYhHWZUŒŒW ] žn.+W  k w60% hj Ž † M)W ` M9j U;a N\WZi ahjHM iM ` jHW Mh [ J MhTM ` MjnY“ N‡ \ vJ M \ J MU^e.WZ\ ‡ WfŒUV\ ` YiŽ \^Y ` M eaZW  WZ\ ŒJ ŒMMuŒLU^M WZit iW Mu`^U^‡ U$WZvH\ ŒMPUWz¦ƒeŒƒWcW ] WZa ŒYHŒM\XŒ ž Ua J WZe.J Mqž.{qt M a`V‡Nˆa Mu\ ` ] ž M\Viq‡±Ž § aq` J“‡ ‡J \ J \ `J M ‡` e t J ]n`VU ‡ ‡ iXWZŒ ‡ NeH` ŒMJNˆMujn\WZ\ ‡8a ’j ¦ t ‡8` \^YWfŒ/e `Va iMU^U aq` UXž§M\^iq±Ž §uŽ † M ` WZ\ J M ` i a jHiMj \ ` WZ\VM jˆ\ M W YHU;“ Wc] U jˆ“ i eW WZŒŒMŒ W WfvHŒMU$W M WZjHhŒ8Muh/Ž 

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