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Optimal Loop Parallelization under Register Constraints

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(1)Optimal Loop Parallelization under Register Constraints Christine Eisenbeis, Antoine Sawaya. To cite this version: Christine Eisenbeis, Antoine Sawaya. Optimal Loop Parallelization under Register Constraints. [Research Report] RR-2781, INRIA. 1996. �inria-00073911�. HAL Id: inria-00073911 https://hal.inria.fr/inria-00073911 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. Optimal loop parallelization under register constraints Christine Eisenbeis , Antoine Sawaya. N˚ 2781 Janvier 1996. PROGRAMME 2. ISSN 0249-6399. apport de recherche.

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(207) U =

(208) U =

(209) U = Xedtp{|I|:Nco „ = „9„ = = ˆ „; = = ‡ „ = „U U = @„ = Xede†`—¦XeN‚N9j£„ ; ‡ =  ‡ ‡

(210) U = =9ƒ ‡ ‡ ;‚ƒ ˆ9ˆ ‡ ‡ =9ˆ @ ; ‡ ‡ ƒ9U ‡ U . } y JiN9Xe[koldeNcp „ ;  T] „ xc‡ zN U U`„ T] U |U  zN x |U  T] x „ = T] x #„ ; zN ; „c„ T] ; „  zN = „  T] = ‡ zN    „ ; zN „ƒ ; T] „ƒ x zN |U  x zN „  T] „ ˆ zN „ ˆ zN U ; T] U x zN U x zN x ; T] x x zN ; U zN ; U zN ; = T] ; ; zN ; ; zN = = T] = ; zN = ; ˆ ; T] ˆ x zN ˆ x zN  ; T]  x zN ƒ ; T] ƒ x zN. ’deSJT — — — — — — 9H ƒ w*9ˆ — — — :L „ wt„U   yw =:„‰— —  ywe„9„‰—  ywe@„ =— — — — — — — — — — — — — „ ;lw =9ˆ — — L¤a — —  Hw x9ˆ — — — — Ü7“<Û Üuâ.

(211) U:„. 

(212)  

(213)   

(214)  !"!#$&%'#()+*'#,- !.'. CN‚N9j Xedt†:—¦XeN‚Ncj=. e . Xedt†:—¦XeN‚Ncj{U9x. ƒ. „x „‡cU. ]0jbT Y\—3|`N`|:—¡XtN‚N9jš„ U9U. U9x ‚; ƒcU. ]0jbT Y\—3|`N`|:—¡XtN‚N9j{U U:„. U>; x>;C;. ]0jbT Y\—3|`N`|:—¡XtN‚N9j{x U . U

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