LoRA: a Package for Loop Optimal Register Allocation
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. LoRA: a Package for Loop Optimal Register Allocation Christine Eisenbeis , Sylvain Lelait. N ˚ 3709 Juin 1999 ` THEME 1. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) "!$#% '&()*+!-,./012&$&$34 5!$6 7859;:=<?>?:=@"A BC:D<?AE@GFHAE:D<;IKJLGM.NPORQR:=@TS4AENDQR:=>VU W4XZ[?Y \+[+]0^`_b[?a cd[?eEfhg3[$i*cdjkcli [?Y \+[;c mHndop [?irqts _tevuwu oEn i4xk[ n [;y X [ n y X [{z'|Es~}v^`~fkz];vEC^ vs+uev[;c /?$wvv zcli n fwy$il o zhD[$v[?wy o xk[4uwe n ev[$;eid o zzy n [?evcd[?c/i X [ n [?vclid[ n u n [?ccdf n [evzwx n [?zwxk[ n c i obX [ ¡ n [?vcln£id¤[ o~n n ev o y$evilX o z u X evn cd[¡ y n fwy$n evP z i X [+n y?evcd[ ov oEcn ov irX e n [o uwuR[$zwn [?xo oho nuc$ Zfwz ndo zk o X evc i [¢u[ n \+[?x o~o [?zKVe ndo e [;cte [+o eE[xwf zk X \ n [i evz n zkn [+il[ n eid z o [?cfkidzwzKy xk[ cd$[ zwy [?eEcl[;c$¦¥ u§fwz zkevc zh¨Rfk[;zwy-[;c3i [ [$vcdil[ u [;cdcf [v¦¥ _0q)ce(uwevyª©VeE[ i X ei\¢uk[?\+[?z~idccl[?v[ n ev5ev oEn i X \¢c ¤oEn i n eExkzw«i X [ n [$Ecdil[ n u n [;cdcf n [¬eEevzcliy o xk[3cd$[v z ¥ X o _0q[?n i X [ n i X n [ n [?vclid[ n u n [;cdcf n o [ o~n i X [¬fwz Xkndo o zk®xk[?n n [$[¢y$evz n ¡ [¢y o zwo cdi n ezk[;n xZ¯°¡ [¢[-X gwuken z i [xk±²[ [?z~itcdi eid[$v[?c0fwcl[;x®z®¥ _0q³evzwx«c ¦[-gwuR[ \+[?z~ie [?cfkidc z«e¬e v[ [?zwy \¢e © ov o~o uwc?(´f n [$gwu[ n \+[?z~idc¢c Xko µi X evi¢z(y o zy n [$il[®y$eEcl[;ci X [®fwz ndo zk¶xk[$ n [?[ y$eEz ¡ [®©v[?uki n [?eEc o zwe ¡ [ei Xko fk X i X [ oEn cdiy?evcd[tc4[$gku o zw[?z~ileZzbi X ['zhfw\ ¡ [ no"n [?vclid[ n cHi Xko fw X i$ ·®¸~¹²º»¼ ½/v n [$Ecdil[ n e o y?eil o zG ~ oho u o ukid\+cdevil o zZ Ry$evy X [\¢evzev[;\+[?z~i$ k¾'¿ m u ndo y-[?cc oEn ÂÀ Á+Ädà Å=Æ;Ç Ätà È/ÉÅDÊDË-Ì ò Ú=ÏÑÙߣÍZïVàVÎVÏÑÏÑÞ;ÐÓó(ÒZÔªôÕ=Õ=ÔªÖ'óÒGÚ=רÎVÐHß"ÙíõרÕPÞVÚPÐPÏÛÚPרÕ=ÜÑÏÛÜ ×ØÝ+ï ÐPòÞVå£ÙVÏÑÙߣïVÔªÕPå£ÚPßHߣà¬öVÞ;á$ïVÝà'ÚP÷ÂÎVöVßÔªïVâàVÐ=ÐõÙVølÕPÏÞ;ÚHÕõãRöZÕ=Ôªù ÔÕPäPàVߣߣåÕ=Ú4ÞVærïVúrçØèªàVéªß£éÕ.Ò.êGÏÑë5Ð=ÐPìߣïVãÐ=í5åDÎVî.×âôÚPÜÑÏÑרåDï;ÎVà¬ß£ïCá$Ý+öVÔª×ÕPÐ=åDð~Î$ÏÑÞVÐ=ßïVñ¤ú$ìCûDüß£Ï ÚPïVß£Õ ýÿêZÎ;Õ=ÏÑÐPÚPÏÑïVߪü âRÏÑÐPߣï?áߣÏÑÐþ/ÏÑïVÕPÏÛ×;ü ôÕ Ú=ÕPÏÛ×;ü âwï;ñÂÐPó*ÚPÏ Ú=רÞ;ÏÑÜÚõhôÐ Þ;ù Ý;Õ5Ü Øê²×ØÏÑÔªïó4þ/ÙVå£Þ;ÔªÚPó4ߣÕ=ÙVÐPÜÛÙVרÕDïVרúVåDü Î;ÚPÞ$ßlÒ.ïvÏÑߣÍhï~ßlü å=רÎVåªïVü ×ÏÑÚ Ð=å=ÎVß.ïVÏ -ߣÕ=Ð=Ï Úd×ù Ú bÏÑߣ ï íõÕ=úªß£ï$ÚPÏÑïVÏÑߣÕ=Ð Ú=Õ= × ª ß
(6) íõñ ÏÑߣ ï í/Þ;ÐPñ. Unit´e de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) T´el´ephone : 01 39 63 55 11 - International : +33 1 39 63 55 11 T´el´ecopie : (33) 01 39 63 53 30 - International : +33 1 39 63 53 30.
(7) «6 "!$& °««6® '&$&$34 5!$6« 5*!$,G"5*, 5!?#% '&$« '6®,&-*,°®*&$*, ¸
(8) ¸ ¥/e¬uwe n e-[$a ceid o zxwf«y o xw['evf«zkv[;evfbzcli n fwy$il o z«eEy$y ndo ir[;c ¡ [?c o zwc4[;z n [?vcli n [;c [?i n [?zx3y n fwy-endo[*eu X evo cd[tx en o y?eil o zxk[ o~n n[$Ecdi n [?c?õ¾Cevzn c¡ [y?evcHo xk[ ¡Ro fy-[?crukuR[$zH[$a [;c o Ey$[? [?\+n [;zEi?o k[xr[ a fkeE[tndox i [$i [Cevuukhofr[a chfk[Cndxko [?ce e ¡R[?co c z~iH[;zh[u[;zwxwevz~i4ukfw¡c*xo fwzk[ ik[ a eil zG vy-[ ~fw eEy$y i5eidev[xwf3y xw[v5¥õe'xr[ a fkeE[4xk[ fwy$[;cÓzh¨Rfk[;zwy-[evfwccd[?c [?c zwc [;z n [$Ecdi n [?c?0¥ o _0q [?cditfwz o fkid hfk"y o z~il[?z~itukfwcd[;f n cev oEn i X \+[?ctu o f n \+[?ili n [+[?z ¡ eevzwy$[ [?c nd¡o [?c o zwc/[?z n [$ En cdi n [?o cõ[$i5n etie[4o xwf¢y o xk[Eõ¾Co evzwc5¥ o _0n q([?c ¡ [?n c o zwc5[?z n [?vcli n [;c o f[4xko [? n [Ha xk[ xr[ a fkeE[HuR[?fki [$i [4y z~i ezEi? fwc"[$gwuk hf zc"xk ±t[ a [;zEid[?c"cdi eik[$a E[;c/fwilck[$a [?c"xevzwc"¥ _0q [$i z o fwc*\ o zEi nlo zwc*xk[;c n [?a cfkideic[-gwur[ a n \+[?z~ideEfhg cf n fwz®e n v[y Xko g®xk[ ¡Ro fwy$[;c$ o c4[-gwur[ a n [;zwy-[;c \ o zEi n [;z~i n hfk[¢xwevzwcCxko [;cCy$evc o n [$a [?c0[¬xk[? n [a n xk[¢xr[ a nlo fko evv¡w['n uR[?fki n [? i n [n y o zwn cd[ n [ a n evc o zzwe ¡ [ ¡ [;z hfk[C['uk [xk[;c*y$eEcrc i4[-gwu zk[;z~il[$Z[?zbid[ \[xwf®z \ [xk[ [$vcdi [?c [ hfkc? {¼ ; º ¸ ev o y$eid o z®xk[ n [?vcli n [;c$ o ukil\+ceid o z®xk[ ¡Ro fwy$[;c$ wE[?cdil o z®xk['y?evy X [E u ndo y$[?ccl[;f n c ¾'¿ m.
(9)
(10) "!$#&%' () *#,+!-.(&(/ !0#12. s. 6+55 ®r5!-+6 z o~n xk[ n i o [-gwuk o izcli n fwy$il o zhD[$v[?Guwe n e[$c\ ¡ j y o \¢uk[ n c? hzhfw\+[ nlo fwc4\+[$i Xwo xc X eVv[ ¡ [$[;z xw[$v[? o uX [;xZ6 5 o~n oho X u y o \¢ukeido o zZ r X y oX c¬ne¶\+e p£oEn c o f n y-X [ o ¡ uR[ nl¤oEn \+ndo eEzwo y-[b\+u nlo E[?\+[?z~i$ zw[$ cy o [;xwX fkn zk°ilX [;y zkhfk[?c¬X ©hXz *z(evc¬c nlo ie o [ uku[?n£¤zko~n zk eVv[ [$[?o~z o u u nlo cd[?x87Û];w wn 4]ov9w ]V :D3q0z i [ il[?y zk hfk[¢ y y$eEzK\¢u E[+y xk[¬u[ \¢evzy-[?cc ufz zk¬q0ue i zwy o n [;evcdzknl¬o i X [cd$[ ovo "¡ evcdy ¡ o yªX ©hc*n i X eiy$evn z®i X o [?z ¡ o [+\ ¡ o~n [n [;evcdj®uwe n eX [?$[;xZ¡ ohn o ou«+fwn z nlo zwn evc \¢u E[?cz \ cli®y$eEcl[;c3i [ [$Ecdil[ ev y$evil z j [;xwfwy$zk(i [¶zhfw\ [ [?vclid[ c n
(11) [ hfk n [?; x 7 <k } :=°q*i X [;cl[ il[?y X zk hfk[;ce n [3E[ n j[ =3y-[?z~i ¤o~n E[?zk[ n ev uwf n u o cl[3u nlo y-[;cdc oEn cevzx y?oevz¢x n evcdily$evjo \¢u X nlo Eo [*y on xk[0uR[ nlnl¤¤oEoEnn \¢evzwy$[v > o r[$X v[ n zy n ov[?ev cdzkn i X [ty o o xk[0cd?X [0y$eEX z X eVv[4cd[$E[ n [ y zwcd
(12) [ hfk[;zwy-[;c z¶i [ E[ euR[ \+eEzwy-[E z¶i [by$eEcl[ zcli fwy$il z y?evy [3i cy$eEzy$eEfwcd[ fzwzk[?y$[?ccde n j®\+ccd[?c? W4X cCu ndoE¡ [?\c0[$gwevy-[ nd¡ eil[;x«z [?\ ¡ [;xwxk[;xKevuuky$evil o zwct X [ n [i X [¢cl$[ ov i X ['u ndo n ev\µ\+[;\ o~n jc4y o zwcdi n ezk[?xG W4X c5uwevuR[ n u n [?cd[?z~idc o f n oho u n [$Ecdil[ n ev o y$eid o zCi oho ky?e[;x¥ o _0q i X ei/\+uw[;\[;z~idc5cl[?v[ n ev E o ev¡n n Xi X \¢c ¤oEn y o \ ¡ zkzk n [$Ecdil[ n e o y$evil o z evzwx oho u fwz ndo zk ¤oEn cl\¢uk[« oho uwc34i Xko fki eEzwy [?c? ? cdfwevj+i X [ n [?vclid[ n ev o y$eid o z+cru[ n£¤o~n \+[;x ¡ j¢y o o~n zki X [*zEid[ nl [ n [?zwy$[* n evu A X @ ov c o \+[ o ho B 4 W X w X d n o ¡ n D F C 0 E @ 3 G o X l n n n X X ¡ nov n [$Eucdil[7 s n :Dc n
(13) [ hfk[° n [?y x ¤oE\¢n eevid y o y$zhevfwil\ zk®[ i X [3 oho u¶e in e [K¡ [?z~cCil[ z [ n [?[?vzy-cl[ id[ n cCeE u X [?z c cdi i o~[n zk[?®eE[?clieEy zhX fw\ zwcdid[ eEzwy-[ ov i X [bcev\+[e n e ¡ [z~i o i X [®cev\+[ n [$Ecdil[ n o r[ y o zwcdxk[ n i X [bzEid[ nl [ n [?zwy$[ n eEu H X @JI I ov i X [ cdeE\+[b oho u(fwz ndo [;H o w X d n o ¡ n A L C 0 E @ N G M x @JIPK§G id\+[?c evzwx o y \+ovu fkil[®n idc3X y o \¢evily zhfw\ [ o X z \ o cli X n o o O F C 0 E y?evcd[?c0i [+e evil zwnlc o eEcte fwzwy$il z K¶e [y e ilQy 7 } :DJ Rfwitr[©hz i eiH[+y$eEz eveVjk.c S zwxeEzfz zk¡ bxwX[$ n [$
(14) [ Kcdfy X i X eiC¡ i X n5[¢ovzh²fwn \ ¡ [ nCn oHn [$Ecdil[ n c o n
(15) [ hfk n [;x«cCE
(16) [ hfwo e"i o e \+zk\fwU \ TVXW/YZ vEE[?z ji [*\¢egk\fw\ zhfw\ [ [$Ecdil[ c5cd\fkievzk[ fwcdjeE[ ec y?e[;x Z\[^]"_O`*a^b z¢c o \+[ o~n c © 7 ]; : G õ¥ o _0q \¢uk[;\+[?z~idcÓcd[$E[ n e X [;f n cdily$c ¤o~n SRzwxkzk'evc"c\¢ee Kevc ou ccd ¡ [4fwzwxk[ n Swgk[?x n [$Ecdil[ n y o zwcdi n ez~idc E ec o X [;zi X [*zhfw\ ¡ [ nÓo eVVeve ¡ [ n [$vcdil[ n c/c5[ hfwe iovo Ón i X [¬ o Hn [ nC¡o fwzwdx Tn VXW/Y G o¬¥ o _0q evo c o n \¢uk[?\+W4[?z~X ic'e X [?f n clidy o ¤oEn n \+zk\o $zkX «i X o [3zhfw\ ¡ [ n [?vclid[ c4fwcl[;x«fwzwxk[ e¬y xw[cl$[y zcli evz~i$ [\+zk\fw\y zwcli evz~i z i [y xk['cl$[c i X ei0X i X [ oho u®cd?o ['c* n [?evil[ n i X eEz«[$E[ n j3e n e ¡ [ [$id\+[v*q0õi X [;cl[ X [?f n clidy?c0e n [[-gwukezk[;x zbi ['o zw[-gki4cl[;y-¡ il zG ¥ o _0q y$evnz [[;evcdo j z~il[ n£ eEy-[?x®4X i X eEz~j W oho u«y o ndo xk[ o ukid\+$[ o n 4¯°[u n n [?cd[?z~i4ovz« i ohX o [+cl[;y ndo o zwx cd[?y$il z[-gwuR[ \+[?z~icy zxwfwy-id[?xz°i A[ e°´¿ [?z~h zw\+[;zE'i 7 ] : z°ebe E[+cd[$i uwc \ e n o fwc ¡ [?zy X \¢e n o ©~c? W4W4X [;X cl[®[-gwuRo [ n Xk\+o [;zEic¬X [-g X X ¡ i¬X i X oE[n xk ±²[ n [?z~i ¡ [ nCX ¡eVo h oEn c o o i X X [ X [;f n cdily$c \¢uk[?\+[?z~il[;x z«¥ _0q' [?j«ec c ¦i eii [+i [ [$idy?eõfuwu[ fwzwx z i [\+zw\fw\ fz nlo zkbxwn [$ o n [$[ ndo n
(17) [ hfk n [;x ¤n o~n e o y$evilzkb4i X T n [?vclid[ n c*^ bf Mhgji f MNklk1m npo q"n 7Ûs] r:"^ y?evz ¡ [ ©v[?uki4fwzxk[ y z~i ²zbv[?zw[ e= t ÙVÕ=ÔªáVð~ÜÑߣÔ-óxîGí3w ézyÂàVü Ô$ßlÐwïVÔØÚå£Ôªó4ÙVÞ;ÚPß²ÚPÎVßZåDÎVÕPÔªó*×Ú=ÏÑåRï?ÞVóHáßlÕwÔØôVÚPÎVßZÏÑï-Ú=ß£Õ ôߣÕ=ߣïVå£ßZúªÕ=רÙVÎrÔØôVÚPÎVßZÜÑÔ$ÔªOÙ u"Ï ÚwÏÑÐw× v/ãwñÂå£Ôªó4ÙVÜÑßÚ=ß 3. 4. îõîï|{?è} ªé.
(18) #,+ !0#&2"X#,+2z#,+
(19) ( s #&2 (/ #&!. 9. tzw[ X [?f n cdily$c¢e n [ \¢uk[?\+[?z~id[?x z ¥ o _0q'|5 o f n xk[;e4i X i X [«\+[$[$idzw° n eEu X z~i ndo xfwy-[;x z 7 }:= /o i ¡ o xk[;eo "4oi X i X [3 o~n © ov 7 <s:D õi n o e n [+e«y o \ ¡ zeil o z on i X o [;cl[¬ oEn ©hc$ W4o X [¬o evcdi o zkX [ c'e«y n \ zweviln z¡ 7 nl]o 9:Hevzx6X 7 ]v]:=o~Qo >0[?f clidny?c¬]v /sw <«evzwx®i jKi n SRzwx¶o evz¶ev y$eid o zK4o i T VXW Y [$Ecdil[ c j(fwz zw°i [« uZ;>t[?f cdily$c k 9 0}evzwx ¶i j i SRzwx evz ev y$eid z 4i X n T n [?vclnid[ n n c ¡ j«n ec o o fwz n ndo zkb i X [X ohno u zk[;y-[;X cdce ohn jvo W4X [;cl[ ndo X [?f n ¤clo idy?o c.S zwxeEX zKfw¡zo nlo zwov xw[$ [$[fwzwxk[ [?vclid[ y zwcdi ez~idc? z [;f cdilyrk hi [C ucrfwz [?x 4zki [ fwzwx ¥/ev\ 7Û] 9:= ²evzx®i X [ evi0y o E[ n4X [;f n cdily o >t[?zwx n [?z®[?i0eX7Û]E] :Drc0fcl[;x®i o ev o y$eid[i X [fwz ndo [;x oho uZ W4n X ceEcln i X [?f n o clidy¡ \+i c S n cditi X [¢y o xk[cd$[eEzwx i X [?zKi n [;c0i o S zwxKeEz e o y?eil o z®4i X eEc [$ [?vclid[ cHeEc4u cdcd [E ]vX e W e t8 _ e zk\+?[ti X [fz nlo zkxk[? n [$[0eEzwx3[;zwcf n [evz3ev o y$evil o z¬4i X TVXW/Y n [?vc£ il[ n c4i X i X [ e [$[?ilzk n eEu XbX [?f n clidyv kX en W e n ? X eKX zk\+?[ti X [fwz n ndo XbzkX +xkn [$ n [?[tevzx¬[?zwcf n [eEz3e o y?eid o z¬4i X T T W-Y [?vclid[ cr4i i [ e [?[$ilzk evu [;f cdily swHE¥ X e t_H¡ e zkX\$n [ri X [rfwz nlo zwtxk[? n [$[eEzwx'[;zwcdf n [revz'ev o y$eid o zC4i X TVXW Y n [?vclid[ n c 4i cl[;z [$
(20) c [?f clidyv 9 Hn E¥ e n ? e X zk\+?¡ [i X [X fwz n nlo zwxk[$ n [?[evzx«[?zwcf n [eEz e o y?eil o z®4i X T8T W-Y [?vclid[ cr4i Hcd[?z [$c [?f cdily rk¥õ q e > 0¾_ ? z ndo i X [b\+zk\f\ evzwx \+eE©[ i X [®e o y?eil o z¶i n jhzkKi o \+zk\+$[ i X [+zhfw¤\ o~n ¡ [ X n4ovÓn n [?vclidn [ n c44o i X o ¥õeE\ c ¡Ro fzwx ¤oEn fwz ndo zk3evzx®i X [ X [?f n cdily ov >t[?zwx n [;z [$i*evP i [ [$Ecdil[ ev y$evil zZ <wX en W Hn E¥ e X t_ X e zk\+$[¬i X n [3fwXKz ndX o n zk®xk[$¤ oEn n [?[¬X evzwx[?ndzwo cf n [¬ev¡Rz¶o e o y?eil o zKX 4X i X T n VXW/Y o[? vclidcl[ [;z c*¡ 4[?ci [?i*i e=[ e ¤o~[$n [?y ilo zk\+ ufkilevzku ¬i X ['[?f fwz clndido y zk¢xki [$ [¢n [?fw[vz zk fwzxKevzx«i [ [?f clidy }hX e W HEn ¥ e n ? eKXzk\+X ?[ i X [ fz nlo n zkX(xkX [? n [$n [eEzwx ¤o~[;n zwcdX f n [eEzndo e o y?e¡ido o z¶4i X T X T W!-Y [?vclid[ c4i i [ eK[$[$idzw X [?f n clidy ov Hcd[?z ¡ [$c[$i*e= ¤oEn y o \¢uwfkidevu zw+i X [?['f fwclz idndo y zk¬i xk[?[« n fw[$z [E zk fwzwx evzwx(i [ w¾ ? q*¥ e 0_ e zk\$[+i X [+fwz nlo zwbxk[? n [$[+evzwx«[;zwcf n [¢evze o y?eil o z 4i X T VW/Y n [- vclid[ n c4i X i X [ X [;f n cdily o ¾fwev#" Xko~n xwc? w¾n ? q*¥ n e ? X eKX zkX \+?n [i X [*ofw z nlo zwXkxkoE[?n n [$[evzwx[?zcdf n [evz+e o y$evil o z4i X T T W-Y [?vclid[ cr4i i [ [;f cdily ¾Cfwev# " xwc? n X n oEn o X n o5n n W4X n/p X o ¤o~n 5 [;evf y X i [ e \n e ¡ [v[' k¥i o _0 q X ey?itev©~z zwx evzwovxw['n [?xkv±²clid[ [ n [?z~Si4[ijkitu[;c cXko fkx [?v¡ [clidev[ c$o y$evil[?['xG fwcd [ z cfwfy clX i eevy?cevi cd[v c¥uR[?o y-_0 q j uR[ nl¤oEn \¢X c.i X [nlo n [?vclid[ n evn o y$evoil o z ¡ jfwz ¤ndoEo n Xzk0i`21)X 33[rn oho u Kn id\+[?c/4i X K%$'&)(+* E K M-,/.0./. K Y G X [ n [ K)W5ci ['fwz zw¢xw[$ [$[Cy \¢uwfkil[;x i [ [?vclid[ cl[?i$ ¯°X [ S n cdi*[-gwukez®iX X [X zwun fkiteEzwx X o fkiuwfkn i o i X [+u ndo y$[?xwf n [ X y X c*i X ['z~id[ nl evy-[ o ¥ o _0q' eEzwx i [;z r['xk[?ideZi [ [?f clidy?ci evi*e [Cfcl[;xZ . v/î. í.
(21)
(22) "!$#&%' () *#,+!-.(&(/ !0#12. .
(23)
(24)
(25). . "! #%$&#'#(
(26) )* +-,/.01!324#' .5)76
(27) )78. r. W4X [zwuwfwi o i X ['u ndo y-[?xf n [ X y X ci X [z~il[ n£ eEy-[ o ¥ o _tq X evc ¡ [$[?zbxk[;clEzk[;xi o¬¡ [fwcd[?x®evc cd\+uw['eEcru o ccd ¡ [i o fwcd[v i n [
(28) hfk n [?c o zkj evz«z~il[?v[ n \+evi n g® X y X \fcli0y o z~idevz®i X [zhfw\ ¡ [ n*ov y-jky-[?c o i X [ oho u i X [+zhfw\ ¡ [ n o e n e ¡ [?c4evzx ¤o~n [?eEy X e n e ¡ ["idctclie n i*y-jky-[v ic4[?zwx«y$jky-['evzwxbi X [ n [?vclid[ n S[i o X y X i ¡ [$ o zk~c$ W4X ['y$jhy$[;c4y$eEz ¡ [vv[;z \ o xwfk o3o~n z o i? evz®e nn eVj+Ehzk¢i X [i o ieGzhfw\ ¡ [ nov5n [$Ecdil[ n crzb[?evy X n [?vclid[ n S[ evz®e nn eVj+Ehzk¢i X ['zhfw\ ¡ [ n4o"n [$vcdil[ n ceVee ¡ [z [;evy Xbn [?vclid[ n S[ E¤¤o~n*X [?f n clidy?c* k 9 }eEzwx G evz®e nn eVj+Ehzk¬i X ['z~f\ ¡ [ n4ov y-jky$[;c*e+Ve n e ¡ [Cc n [;ej fwcl[;x®xwf n zk¢idc4 [$il\+[v i4c fwcd[?x ¤oEn cukzw¢uf n u o cd[?c? ¿huwzk z ¤o~n \¢eid o zKc'eVee ¡ [¬fwclzk«e®e n eEz~i ovX [?f n cdily®]¬i X ei'y o \¢uwfkil[;c'e«y n ily$e y$jky-['z i X [+\[?[$idzk n evu X 4¥ o _0q n [?idf n zwc0e3cli o e n e ¡ [?c4i o cduwõz o~n xk[ n i o [?zwe ¡ [i X [ n [$Ecdil[ n e o y$evil o zZ i*y?evz vv[ oho x n [?cfkidc4evci n [?cu[;y-idc*i X [ n
(29) [ hfk n [;\+[?z~idcrvv[;zz 7Û] s:D qtc o fkiduwfwi¥ o _0q n [$if n zci X [ z~id[$v[ n \¢ei n g X y X c\ o xk S[?x evc ¤o o *c$ 55 n cdi i X [ o ho u c0fwz ndo [;xZ wi X [\¢ei n gc*[-gkil[;zwxk[?x®i o y o zEiez ev.i X [e n e ¡ [?c ov i X [zk[? oho uZÓ¥ o _0q EEn [?c0¡ i X
(30) [ SRzwn ev/fwn z nlo zw xk[?n n [$[ ov i X [ oho uKevzx«i X X
(31) [ SRn zwev/zhfwn \ ¡o [ n0X ov X e n e X ¡ [?c?¡ eEzwx ¤oEn [?eEy X W4e X e [?n c*i [?idf zwc*idccdide n i0eEzwx®o [?zwxKoy-jk y-[?X ctevzwx®i [ W4X [$Ecdil[ ¡ i n4 ov/n y i n evc [$[;z evccd~zk[?xZ ¤o~n ['[;evcliy eX ©~ieEzwzwx x ov[?.zwn x®[?vy-cljkidy$[ n [;c4SRe [[Ccr\ ec xwo fkv v[;z¬i z3i c4X id[ \+S n [vcl ire nn ['eVjEz~ fT\ V[W/Y ov [?[$evvy Xcdiln [ [?vcrcl[-id±²[ [?n y$SRilv[t[$crj vfvcl[;[;xz zbi X ['cd[?y o zwxbe nn eVjv W4X [\+[$[$idzw n evu X 7 }:cfwcd[?x¶z X [?f n clidy?c3]eEzwx «eE\ o zk o i X [ n c? ice \ oEn [3evy?y$f n eid[ n eEXu X i nX evz¡ i X [¢ fcdfwev"z~id[ nlo [ n [?zwX y$[ n eEu X .o eEctovi X X evcCz ¤o~n \¢eid o z o zKo i X [3X zhfw\ oho ¡ [ n o y-jko y$[;c ovo [;oevy e e [ ndo[$id\+[eEzwx n zbi X [X cfwy$y$[?¡ccl z i o [' [?o il\+[?cX e.e zk¬n i [' n uZo i0X ev oho *c4i y \¢uwfkid[teEn z3fwX z zkX +xk[$ [?[*n y o [?ze [?crevo z3evo y$evil oz¢ 4i XT VXW Y [?vclid[ c E iX [n uGo 5q o\+zk[?[¢[$ily o zkz+zk [?y$evilu[?xy$y oevz\+u eVo vzw[[?z~cli$[? Gv[idcCe ry [$zw Xzki[?y$ilJc [;xT VXy W Y\¢G u Gi zkX [?cCz~idc[?eExwcHi [?o i X i[¬c:fw9 M-uw,0uR./[ .0n., ¡R9 o Y fzw x i ov [ fw[z nlc o zkzwj K)V ;=< $ &)(+* E 9 M ,/.0./. 9Y G|E TVXW/Y' i X [ n [c o zkj o zk[Hy o zwzw[?y-id[?xy o \¢u o zk[;z~i G e oEn [ o E[ n etu o cdcd ¡ [ o X r[ n0¡Ro o fzwx cCy o X \¢uwfwil[?x ov¡ j X xk[?yn o \¢u o X clzk W4i X X [+ n evn u X z~i o n evcX \¢evz~j y- n y$fko idco evcCu o ccl X¡ [evzx i [?o z°y o \¢uwfkW4ilX zkbi [ Xk&)(+o * i X [$ H[? n ic$ ¡ [+X y$ y$fknidcCe [+i [;zKn fwcd[?xi n y \¢uwn fkil[+o i
(32) [ W4S zwX e evX ny$evil zZ c0\+[$i x y$eEz o evzwo xw[Ve X e [;o c4i evi0e ['e¡v[n4xwovf /n zkcd[$En [ eZil[ eid zwc? c [?f W4XcdilyCereVjkFc n SRzw¡xc*evzbove X y?eil zXk4o i evz X ukid\¢o evGz~fo\ [ [$¡vcdil[ c?nd o oEn n o ¡ fkx«i [3X ['\¢ evn evz°u x X ReVeE c4eviyªy$© eEz o i zkj c'¡ \+[[?fwi cd[?x x°¤o~cCn i z~eili'[ n c e\+ [¬eE\+z xk[;[;cc ov\+ eVy j o zcl[¬ievz~z~ii44xxwfwi y-X [;xKW4z X c0\+xk[ [;evzwi c > v.ÔØÚ=ߣ à ?@?ôÔªÕ ïVÏ ÚPÏÛ×Ú=ÏÑÔªï ï-ÚPßlÕ ª×ØÜkÏÑï*Ú=Î;ßÐPß A?ÞVߣÜhÔØôkÚPÎVÏÑÐ.ÙרÙߣÕdü îõîï|{?è} ªé.
(33) #,+ !0#&2"X#,+2z#,+
(34) ( s #&2 (/ #&!. <. i X eii X [ n [0\fwcdiHeeVjhc ¡ [0i X [0cev\+[0zhfw\ ¡ [ nÓo E[*e n e ¡ [?cÓevievz~j¢y-jky-[vÓ¿ o i X [ty o \¢uwfkidzk id\+['y?evz ¡ ['x n ev\¢evily$ej X X z®c o \+[y$evcd[?cxwf n zk¢i X ['xw[?y o \¢u o clil o z o i X [ n eEu X ¸ >0[ n [¢c'e®cd\¢ev"[$gkeE\¢uk[E Gz 55Ef n [®]¬evzz~il[ n ev ev\+j n [?u n [?cd[?z~idzkbe n e ¡ [ [$il\+[?ccx n eV*zZc 5 nlo \i X [?cd[¬ [$id\+[;c$ /i X [3y oEnn [;cdu o zxkzwb\+[$[?ilzk n eEu X c'x n eV*zZ W4X [ z~il[ n e ev\+j X evc T VXW/Y $B9 ²i X cC\+[?eEzwc0i X ei o zw[zk[?[?xwcCeit[;evcdi 9 n [?vclid[ n c E y o oEn c G i o®¡ [ ev o y$evil[?x cdW4fX y$y-[;cdc fkXjEHo´ zX [;evy Xo z o xk[v we+ro [$ X o i
(35) [ hfwevZi o i X ['zhfw\ ¡ [ n4o y-jky-[?c ovX i X [ o[$ id\+X [ c0o eExwxk[;xZ X ['H[? i i [y zwzk[?y$il[;x«y \¢u zk[;z~i4c $x9 evc $\r¢evzwx®i [cfw\ i [ z xw[?
(36) c o~kn Ho[? n icX c* vw Xko~n e [ v[ i evL c 9y xwc? v[?eExkzki o eVjkc"i o xk[?y o \¢u o cl[0i?Ó´zw[0eVj[?evxci o evz3fz nlo o E G zk z & (+* ] , s $ s¬il[ n evil o zwctevzwx i X [+cl[;y o zx®i o eEz«fwz ndo zk o z & (* E , G $ 3id[ n eid o zwc$ n X o o o o o W4X X o o o ¤>to [ fwzwD[ x K)n V [?;=< [?c $ o zK9 Ói X r[3[ cd[?e eVn vy [ X ovzk j i X [¬zk [bn [?y evilz[?zkcd[?iCy$z~il[?fx(\ ¡y [ \+nCou zwy Xk[?z~o~i$n xwci X [be i deVx jo i z o [«iCxkz~[?yid[ n \¢cl[;u y-i cl
(37) bil zwcdzxk[ c i X [ n evu X W4X c0cl[;e n y X c4
(38) [ hfke[?z~i o i o~o © ¤oEn i X ['\¢egk\fw\ clie ¡ ['cl[?i4zbi X ['y- n y$[C n eEu X zwxwfy-[?x ¡ j3i X ['y XkoEn xwc? 2 a. g f. 4. e. 3. c. d. d c 3. b. f. b 4. a e 0. . 1. 2. 3. 5/Ef. 4. 5. 1. g. 3. n [¢] gwev\¢uk[ ov \+[$[?ilzk¬ n evu X. "! # 24#' . )*6
(39) )*8 )76# # )*6 #(
(40) 0 . 4W X c\+[$i Xwo x 7 < :/ctfcl[;x«z X [?f n clidy?cts evzwx 9R r[i n jbi o e o y$evil[+e¬ oho u cli n ev X i ¤oEn e n xZ r[+4 X eVv[+u ndoE¡ [?\¢c4i X e n e ¡ [?ct X y X e n [+eE[+eEy ndo cc*il[ n evil o zwc? W4X c X [?f n clidy S n cli ev oo y$evil[?o ci X o [ [?il\[;c4cli o n ev X W4i ¤X oEn e ndn o xkjevzwxi X n [;zovy o \¢X uwfkohilo[;ci X [CX u[ oEn \n fkidnZevoil o zX zw[$[?xwn [?x o z3i o X c evi y$y$evevz il X eEzzwi xk[¬E[$ i.ohoeuwcevz¶x zwX [vy X c o [r\+fwz[¬e n zke *¡ xk[¢[? [$[$[ id\+[?i c[ev cdi'u\ o~cGn i [¬[ i X evzxk[ o zk[3i il[ cõn euid[ o \z¶fkevidzwevxZil 5evzZc 4i X W4Xi X ['X u n [$nh o fwc\+o [$i Xwo xGo i X X [ n [$X EcdilX [ n o e o y?eil o zc0ereVjkc o X ukid\¢e= n X X n X eVv[v ¡ c fki4[?idf c4xwclidcevyxkx eE[?zEcCiez E[0i cHeVi EX [ eii X [fwy uw\¢uR[ uwn4fk¡Rido zwfw zwidx \+o [+fwz©nd[o i zk[¢+\+c4[$[$\idfwzwy X X ev u X [ n 5[?qtf cHclid[ yX y$eVeEEz [ cex ¡ [ ¤oEn [r[ X eVvJ[ K V ;=< $ b f MNgji f Mhklk$m n.o q)n . v/î. í.
(41) }.
(42) "!$#&%' () *#,+!-.(&(/ !0#12. . . )*0
(43) ) :
(44) ! #%$&# #(
(45) )7 + ,/.01! 2 #' .5)*6
(46) )*8 0 )76#' #')*6. #
(47) 0 @. 4W X [ X [?f n clidy?cp<¬evzwx«}H[ n [\¢evxw[i o ideE©[Cz~i o evy$y o fwz~ii X ['fwuwuR[ n*¡Ro fwzx o fwz ndo zk o i X [ \+[?[$iln zk¬ n eEu X®n X [?f n clidXkyo eEzwxbX idev©v['X evxkeEzEin0eE¡[ o ov i X [cu[?n [?x ov i X [ X [;f n cdily o cl[;z ¡ [?c?´f n [$gwu [ \+[?z~idev [;cdfkidc4c i eviri ['fwuwuR[ fwzwxbc*v[ j¬[-±²[?y$ilv[E i S n cdiÓy o E \¢uwfwil[?cevG z+fwuwuR[ nÓ¡Ro fwzx ovX fX z nlo n zk ¡ ovev cd[?x o z+¡ i X [*\[?[$idzk n X eEu X õnl¯o [ X eVE[Hi X n [?z. K)V ;=< $ &)(+* 9 9Y 4q0zx®iy$ec4i [ [?f clidy cl[;z [$c4[?i0e= R i [fwz zw3xk[$ [?[ ¤o fwzwx(c¢ n [;eidM [ ,/n ./.0i .X eEH z K)V ;=<w Hi X [;z(i X [®z~id[ n Vev ev\+j c¢fwz ndo [;xHK)V ;=<il\[;c¬evzwx y o o~n [;x E o n eEy$y xkzwvjv . "! #
(48) 0 ! .6 24#' . )*6
(49) )*8. . . 4W X [?cd[ X [?f n clidy?c «evzwx¶ e n [¬e®e n evz~i o i X [ \[?[$idzk« n eEu X¶X [?f n clidyv zwcdil[;evx ov oho ©~zw ¤o~n e«E o~¡ eHcl[?i o y Xko~n xwci X evie o i o xk[;y o \¢u o cd[¬i X [b\+[$[$idzw n evu X õi X c+\+[$i Xko x oho ©~c il[ n evilv[?j ¤o~n uwe n c ov y XwoEn xwcri X evi [;eVv[i X [ n [?evil[;clizhfw\ ¡ [ nro y XkoEn xwcHz i X [ n eEu X ~ X [?z ircxk[?y o \¢u o cd[?xeEy$y oEn xkzwi o i X [;\ \+zk\+?[i X [ &)(+*° k cd[$v[ n ev ue n c4ceidc j3i X [JS n cdi*y o zwxkil o z >t[?zwy$[ e uwev no y Xko~n xcc+y Xko cl[;z°evi[;evy X il[ n eid o zZ 5i X [ n evu X cxw[?y o \¢u o cl[;x¶i o i X [?\b qtzwx¢rW4[*X y o z~X idzhn fk[4i o id[ n en il[4i X c¡ u ndo y-[?cc"fwz~ilo Rz oho o y XkoEn n x n [;\+evzc5z¬evwi X [0y$ n y$fkidcy n [?eid[?x+i X c eVjv c [;f cdilytc4 [?[?xkjE fki4vv[;cec x [;cdfkidc? )*0
(50) ) : 0. 0 32 #' .# 3#(
(51) 0 @. ¯°[ n xk[;cloEzk[;x X [?f ohn o cdily r X ¡ j X S n clo i3fwcdn zk¶¡ ¥õev\ c X [?f n n clidy 7 ]9oE:tn X X y X o y o \¢uwfkn id[?c¬o evz fwz nlo X zw xw[$ [$[Ci vX [?i*ne¬ u n z® o y o z ¤o~e n e oho [c*ov evv['xfn zk3\ [i evz X zw[X id[ eil zG RoevzoEx n i [?X z eEuwukjhzk°i [ [$Ecdil[ ev y$evil z uc >t[?zwx [?z([$i¬evP 7 ]v] :D y cl\¢ukjy c+i [ X z~il[ n£ [ n [;zw y-[ n evu X X zwxwX fwy$[?x ¡ o j«i X n [¢fwX z ndo o [;x« oho n uZ o W4X cW4Xn [$vX cdil[ n n e o y?eid o z oEn X [?f o n clidn y+y$eEz z o X i evzwxk[ [$id\+[?c y eEclir zkv[ i evz zk[il[ eo id zZ n c [?f n cdilyto c\ o [ty zwy$[ n zkX [?x¬4i Xk\o ilzk¶¡ i X [bo y o xw[®X cd$[ X n evi X o [ o~n n i X evH z SRzwxkzk¶evz ukid\¢ev [$Ecdil[ ev y$evil zZ t[$v[ i [$[?cc+i c fkx [Cz il[?xi eviHi [o y o zk X [;X f n cdily ovn >0[;zwx n n [?z3[?i4e=/crv[ n j+[=3y-[?z~ievzwx n [hfk[?z~ilj cfwy?y-W4[$X [;xQz ndSRo zwxkzk3eEz n ev y$o eid z34i o T VXW Y [?vclidX [ c$ X [fwz zkCxk[? [$[Hy \¢uwfkid[?xc uwil\+ev hzi [4cd[?zwcd[i ei/i5c/i XX [n cd\¢ev[?cdi/xw[$X n [$[H X ¡ y X n ¡ X n n o o o X oho o R [ [ &,V ;@<¬c0i [+zhfw\ [ ov[;zw e y$jhy$[;c*[;c i o[ i X [$[vcdo ilzw[ v[?ecdi y$ ev[$ilid \+z [ ov i i X [[ oho uZuZ itct
(52) [ hfwev.i t"!$#%t6+/ '&()*, «&Ø/, ¯°X [Hfcl[;x e°´¿ WoEn Ve4X il[;clil ¡ [?xxk[$n E[$ o uR[?X x'n evji eKX y n ? zkoEv¡[ n cdi'j 7Û] := i.X \¢X uk[;X \+[?nz~idc/cl[?vo[#n evv\ o xndofk o cy [;xwfkzke i \¢c?.¯°[u [?cd[?z~i [ [*i [ [;cdfwic idezk[;x¢4i i [ [;f cdily eEcduR[ zk !. ". #%$. îõîï|{?è} ªé.
(53) #,+ !0#&2"X#,+2z#,+
(54) ( s #&2 (/ #&! . eEzwx¿hy X 4[$v[?c Xko~X z 7Û];s:D ~z o il[;x evcu[ nlo zk= Eevzx¬4i X ¾¿ m 7 := W4X [ ¡ [;zwy X \¢e n ©hcfwcd[?x X [ n [ e n [¬i X [¥õE[ n \ oEn [¬ oho uc$ /¥.zwuweEyª©eEzwx teEc$ z ei X [cS~f n [;c$ e W xk[;z o id[?ci X [b\[?[$idzk X n eEu n X X [?f on clidyv Hn E¥{i X [ X [;f n cdily o H cd[?o z ¡ n [$c3[?i e=³eEzwx ¥õeE\ i X [n y o \ o ¡ zen il o z ovn i X [ o [?f cdily$c >0[?zx [;z [?ievPevzx«¥õeE\ z f il[;clic$ Zr[eveVjkc0y zwcdxk[ [;x zw[ [$vcdil[ S[v eEcrH [Cevz~il[;xi o¢X eVv[y o \+ue n c o z ¡ [$ir[$[;z®e oEn i X \¢cevzwxbz o icd\+uwj il[?cdi4e¢uwe n ily$fke nro zk[v X o n n o X ov X oho o X ndo W4X [?z zKri [ cCX cleV[;Ey-[3il ez c oKHn [¢[?cu fk[?idcdc [?z~o i z¶i [?X c[bfkidfwc z nlo z«izw [+cdxk[$$ [ n [?[3i icl[ [? SR "zezw/y$ fwxwuzky °xke [y o \¢[?uwzKe n ic o cz fw¡ z [$ir[$[?[;xZz in X [ X [?f n n clidy?cC o o~n ©~o zk4i XX i X oh[¬o \[?[$idzk® n eEu X Gevzx SRzejKc o \+[ n [;cdfwic o zi X [¬zhfw\ ¡ [ nCov [$Ecdil[ cfwcd[?x i ev y$evil[i [ uwc? . # . ) (#. . . :6
(55) .501)7
(56) 6. ¯°[¶cl\fkeid[?xTi X [ y$eEy X [Kzwcdi n fwy-id o z ¡ [ X eVh oEn X [?z i X [¶cy X [?xwfw[;x o~o u c®fwz ndo [;xZµ¯[ cfwnlouwu o cd[?oEx®n i X o [zwcdi o n fwy-X id o z y$eEy X [n evc.9 o ¡ ¡ X W4XX [;cl[ n [;cdfkidX cte n [¡ cdil/ex® o i X [[?\ ¡¡ [;xwxk[?x u y-[;o~cdn c x [?c¢n z i XkeVo E[ eEz X zcli fwy$ilo z(X y$evy o [v Ói [$jovy? evzX i [?z X [beEuwuk[;xi ndo idc+[?\ o~[;o xwxko[?x \+[;\ jE 55~f [¬ c *c0i [¬[-±²[?y$i i [¬y xk[¢cl$[ i [3cy [;xwfk[?xKeEzwx°fwz [;x u z i XX [zwcli nn fy-il oo z®y?evy X X [E i*xk[?uwy$idc*i X ['n uR[ n y-[?z~iev[ X ov oho n uwc ov¤o~cdn [$E[ n eo ¡ [?zwn y X \¢e n ©hc X y X SXwi*o z i [¢zcli nfwy$il znlo y$evy [+eEctXkidcCo cd?[¢zwy [;evcd[?c? HeEy SEf [+c e®c ie [uku[?zkzk«\+[$i x eEzwxbcl[?v[ eZfwz X n zw¢\+[?i xwc? X ndo n X X ¡ nid[ qti X ctev¥/z¶evi \ X [3 c i [;o«f o cdi ilX [ yn'evX [?f eVnjkpc cdilSRy$zwc?x ctW4i X [+[y [;o evxkcdit[¬fwcz \ o~n zk[3by oxk\¢[$ uwev[?[y$i$² ie evoEn eV[ ojkEXc [ Sn id Zci X i [ [+X y?[?evf y n cl[ idy [?ovi£ Hcd[?z ¡ [$c[$i4e=Ócd[$[?\¢ci o Si4i X ['y?evy X [ ¡ [$ilid[ n i X evzbi X ['\+[$[$idzw¬ n evu X X [?f n clidy o z eVE[ n ev[E W4X fwcCr[+y?evzcl[?[+i X eiCiCcCu o ccl ¡ [+i o y Xwo~o cl[¢e reVj®i o SiCi X [¢[?z~il n [+ o~o uKzi X [¬y$eEy X [v [?ohvo[;z¬ i XXb[X y$eEX y X n4[*nc n evi X n[ n cn \¢ePn ¡ j¬y Xkoho cdzk+ecy X [?xfkzkil[?y X zk hfk[i X eix o [?crz o ir[;evxi o e i \fwy [ [$Ecdil[ u [;cdcf [v . . . . . :
(57) : . *)7 +. W4X [?cd[*[-gwuR[ n \+[?z~icc Xko i X [ev\ o fwz~i ov fwz ndo zkfcl[;x ¡ j+[?eEy X¬X [?f n clidyv 5/Ef n [0sc Xko *ci X [ [$±o [;y-i o cd[$v[ n evXv oho un fwz ndo zktcli X n evil[$Enl[;o c.y o \ ¡ zk[;n x4i o X c o ie n ¡ [Óuku[?o zkzktXkido [?y X zw¤o~ hn fk[;X c o zi X [ y¡ xk['X cl$[En revy X SEf [xk[;ukX y$Xidc0i [fz Xkzko 3xk[$X [?X [y n \¢uwfwilo[?x j i nlo \+[$i xwc X i [cdXkeEo~\+X [ o~n [?z¾ y 4\¢¿ m e ©'cdy [?xwfk[?x4i i [*cdeE\[4\+[$i xZ vi [ [;f cdily evcu[ zkwevzwx¬¿hy 4[$v[?c z W4X [ X [?f n clidy o Hcd[?z ¡ [$c*[$ie= X eEc0[?cc*id X iy o zEi nlo o z®i X [¢fwz ndo zkxw[$ n [$[i X eEz«i X [ \+oho[?[$ilzk n evu Xo X [?f n n cdilX yn0 ovW4 X cc¢uwX e n idX y?fknCe X n j¶n z o idy$[?e ¡ [ X o z i X [ nlo evc[-gwX ev\¢uko [?c? " X [ n [bi ¡X [ u o cd$[+[-gwuk xw[?cX evi o [ il[?zK¤o 4i i [$X [?f clX idyvn ¯§i evcuX [ o zkX = n4i X [¢y xk[¢X cl$[+oho y$evz [ fu i <w] <il\+[?c4i ['y xk[cd?[ fwzwxb4i ¥õeE\ c [;f cdilyH´z i [ i [ evzxZ ki [ ubcl$[ ceX i0 oEn cdi X o zkj«fwu«i o X ]v]E sEs¢il\[;c ¡ Ev[ n i X eEz«i X [ o W ukil\¢e= W4X [+cdeE\[u X [?z o \+[?z o z o y$y?f n c 4i evn GX cy n [?xoEfkn zk¢X il[;y zk hn¬fk[?¡Rc4o \¢uk[?ov\+ [?z~il[;nlxbo z e°ov´ ¿ X n X X n n n [$e5 id[?f x i i o [ \i X [ [vh Hfwi ev[«ij fwuwouR [ i X [cfy zwX x[?xwfw[Efw 0z evcbcdevzwx z i ¿h[?[®y-id\+ o [?zT[$il kzk sw¶µ ¿ evo u i X [[;f\ o~cdn il[yi X c¬[xk oho [;u y-ilj c y o \¢uweEy-il[;x ¡ j«i X [¢c o ie n [ukuR[$zkzk«e o~n i X \ Zi X [ X X [ n i X [¬fwuwuR[ n¡Ro fwzwx o fwz ndo zk v/î. í.
(58) .
(59) "!$#&%' () *#,+!-.(&(/ !0#12. MTG EJL Lam. 0. Livermore loops scheduled with DESP % of loops fitting in the cache. % of loops fitting in the cache. Livermore loops scheduled with Gasperoni 100 90 80 70 60 50 40 30 20 10 0. 100 90 80 70 60 50 40 30 20 10 0. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. MTG EJL Lam. 0. MTG EJL Lam. 0. Linpack loops scheduled with DESP % of loops fitting in the cache. % of loops fitting in the cache. Linpack loops scheduled with Gasperoni 100 90 80 70 60 50 40 30 20 10 0. 100 90 80 70 60 50 40 30 20 10 0. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. MTG EJL Lam. 0. MTG EJL Lam. 0. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. 55~f. îõîï|{?è} ªé. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. Nas loops scheduled with DESP. % of loops fitting in the cache. % of loops fitting in the cache. Nas loops scheduled with Gasperoni 100 90 80 70 60 50 40 30 20 10 0. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. 100 90 80 70 60 50 40 30 20 10 0. MTG EJL Lam. 0. 100 200 300 400 500 600 700 800 900 1000 Size of the instruction cache. n [ e [?\ Eo n j o y$y?fwuwevil o z o i X ['fwz nlo [?x ho o wu c.
(60) ];. #,+ !0#&2"X#,+2z#,+
(61) ( s #&2 (/ #&!. ¾¿ m fwcfwej¢uR[ nl¤oEn \¢c ¡ [$idil[ n i X evzi X [ X [;f n cdily o evcu[ nlo zkReEzwxb¿hy X 4[$E[$c Xko~X zZ ¡ fkii X [ fz nlo zk¬xk[$ n [?[zk[?[?xk[;xbi o e o y?eil[Ci X [ oho u4i X TVW/Y n [?vclid[ n cc4i X [?z®\fy X X X [ n nlo X n X o nlo o X ndo n o ¡ H5 [ X eV\µE[Ci cd[;i ndclo[Czw[$+gkuRy o[ zwcd\i n [;ez~idz~c?id kc Ho [z y$i eEX z[ cdn [$[$[CEi cdil[eni4n y [~zEfwi n [? \+[?z~i ic$[' fwz zk¢xk[? [$[c4u ccl [t[?v[;z MTG EJL. MTG EJL. u/u(Lam). u/u(Lam). 8 7 6 5 4 3 2 1. 50 40 30 20 10 0. 10. 20. 10 30. 20. 30 40 50 Loops of Livermore and Linpack with DESP. 40 50 Loops of Livermore and Linpack with Gasperoni. MTG EJL. MTG EJL. u/u(Lam). u/u(Lam). 15. 15. 10. 10. 5. 5. 0. 0. 50 100 150 200 250 300 Loops of Nas with DESP. 50 100 150 200 250 300 Loops of Nas with Gasperoni. 5/Ef. . # + )*6
(62) # .. . n [s ? z ndo zk¬xk[$ n [?[ ov i X [ o~o uwc. 8 0
(63) ) :. ¯¡ X ?[ z eo o~o u c®c ovnl irn e n [°ukuR[$zkX [?xZ r[°y?evzTnlz o n i®fwcl[ fwn cfwevX n [$Ecdil[ n ev o y$eid o z o e o~n i X \+X c [?y?evfwcd[ cl[? Dz~id[ [ [?zwy$[?cz°i [¬fwcdfe"zEid[ [ [?zwy$[¢ evu 7 s "]v] :D´zk[¢reVj«i xw[?e"4i io~X n c3u ndoE¡ W4[?X \ c¢o i o o uR[ nl¤oEn \ n [$vcdil[o n¢n [?nlzw¤oEeEn \+zk;o~o 7 9:D ¡ nlfwo i¬i X c¬[?evxc¢i o ¡ vv[ n y o xk[®i X evz i X [ vzwevP ['c fkil n z H[CX iev©[Cci X uR[ X \µ u ohfo z zknlo n Xko Xi [ ¯°n [?[ vclilid[;[ clnid[?n x§
(64) [ hcdfk[$ En [ [?\+e[?z~ilid[;c y ¤oEzkn ~clfw[?v[?c¬[ n ev n [$y vcdeil[0n fwecd [«o y? eil u o zf\z [?i Xko zkxwxcr7Û]z~9w Lo <h rzw}':Dx oh55o u3Efwf z [ ndo 9czkR * ic Xko X o ¡ nõon n ¡ X n XX n X ¡ n ovc *n *[?vc.i clid[ [ n cukzkid[$\¢[;xke[?hx¶zhfw4\ i X [ e«y o \ [$E¡ cdzwil[ evilc. o zkz [$[;oxk [?ix X [ jX i [;f [rn \+cdil[$[?y$ilc zkov0 >t[?eEzwu x n [;z¶[;f [$icdilevPy«evevzzxxi ¥/[revzh\bfw®\ ¯[ [ v/î. í.
(65)
(66) "!$#&%' () *#,+!-.(&(/ !0#12. ]E]. y o \¢uwe n [;x¬i X [ X [;f n cdily$cr4i X n [$~e n x¢i o i X [zhfw\ ¡ [ nHovõn [$vcdil[ n crfwcl[;x3i o uR[ nl¤oEn \ i X [ n [$vcdil[ n ev o y$evil o zZ«¯°[ xkxz o iuwfki+evzfuwu[ n¡Ro fwzx o z i X [ zhfw\ ¡ [ n'ov0n [?vclid[ n c o i X [ u ndo y-[?cc oEn i X [ n W4[ ¤X o~n [Cz o cuk.y n o xkX+[CX czwn cd[ n il[?xbzbi X [ oho uZ o o X o [\+[$[$idzw evu [?f cdily*eveVjkc"vv[;cÓevz¬ev y$eid z¢4i evz ukil\¢e²zhfw\ ¡ [ noGn [?vc£ nid[ cÓ4i X3n [$~e n xi o eJSgh[;x¬cdy X [?xwfk[v ~ X [ n [;evc"¥/ev\ c X [?f n clidy0y$evz¬c o \+[?il\[;c X eVE[*xk =¬y?fkil[?c i oX ©[?[?X u°i X X [ nn [?vclid[ovn u n [?ccdfn n [3eEy$y-[;ukide ¡ [v õoeEcz¶i X [ n evc ¡ n [?zy o X \¢e n o ©~c? in c Xko fkx ¡ [X z o ily-[;x i eiri [ [;f cdily >0[;zwx [?z¬[?irevP"fwcd[?xi SRzwx e [$Ecdil[ e y?eid z3e id[ ¥õev\ cHcy [;xwfkzk ev oEn i X \cCz o i o ukid\¢e= ¡ fkieEy X [?v[;c*v[ n j« oho x n [;cdfkidczKE[?zk[ n evP W4X [¬u ndoE¡ [;\[?zwy o fwzh id[ n [?xK4i X ¥/ev\ c X [;f n cdilyy?evzK[;evx i o \¢u oEn idevz~iCu[ n£¤o~n \¢eEzwy-[ o cdcd[?c X [;zKcukÓy o xk[¢y o xk[ zwcd[ n il o z c0zk[$[;xk[?xZ ©[zbi X [ evc ¡ [?zwy X \+e n ©hc?Ó¯ X [;z i X [' oho uwc4e n [cy X [?xwfw[;x 4i X ¾ ¿ m i X c"\[?i Xko X x¢y$X eEzX zw[$[?n x+fwui ovo ]? s n [$vndcdoil[ n c5\ oEn [Hi X X evzi X [ oXkuko~Xil\¢eW4= X i X c evc5i oX rto X [?zo i"c"o cy X [-n xfk[;xK4i i [ [;f cdily eEcduR[ zk5evzx¶¿hy 4[$E[$c zZ [¬cev\+[+u [?z \+[?z z y$y?f c 4i X i X [¬¥.v[ n \ oEn [ oho uwceEzwx¥.zwuwevyª© 4i X ®eEzwx° n [$Ecdil[ n cC\ oEn [ n [;cduR[?y$ilv[$jv W4X fwc? õevc iovX [ n [$EoEcdnil[ nrn
(67) [ hfk n [?\+[?z~idc0e on [ ¡ ¡ E¡ v[ n i n X evzbi Xko cd[ n o i X ['\n [?[$idzko n evu nlXb¤oEX n [?f n clidyv wi X [zhfw\o ¡ X [ n \+[?\ j+eEy$y$[?ccl[;cÓ4²ec [ vv[ evzx3cl[?v[ [?j¢xk[$ eExk[0y xw[tuR[ \+eEzwy-[;ceEzwx3ec i [ S zweGy o xw['cl$[ o i X [ oho uZ W4X [4y o xw[cy X [;xwfk[ ¤o fwzwx X eEcõi X [*cev\+[H\¢uwevy$i o zi X [ n [$Ecdil[ n/n
(68) [ hfk n [?\+[?z~idc5eEc o zi X [ oho u fn z nlo n zk3xk[$ n [?[vp >t[?zwy$[ o zk[\ o~n [E i X [\ oEn ['i X [' o~o u®cy o \¢uwevy$il[?xG i X [ X X [ n i X [ n [$vcdil[ n
(69) [ hfk [?\+[?z~i$ .
(70) ! #'. # .5) # :
(71) 6. ¯°['\¢evxk[evc o n[-gwu[ n \+[?o z~idcn i o il[?cdi4i X [ ~feij ov/X [;f n cdily$c*xw[?ezk4i X i X ['\+[$[$idzw¬ n evu X ¯°['W \¢ev¡ xk[C[$gkuRn [ \[;z~idc ov[ ]?En 9+o y?ev¡ cd[?c? e ¡ [®]¬u [;cl[;z~idcCe X y \¢X uwe n c z o [$irX [$[;zKi X [¢¾fwevn " XXkoEn Wxwc X o [;f n n cdily+eEzwn xi X n [ X o[;f n cdilny ov Hcd[?z [$c[$ie= /evzwx¶i [ [;f cdily i [ \[?[$idzkK evu uwe eE\+[$il[ ce [3y zwcdxk[ [?x( i X [3fwo z ndn o zk«X xk[? n o [$[E .evo zwx°i X [3o zhfw\ n ¡ [ nov y$¤ noEy$n fwiX c ¡ fkxkzk i X n [3xkX«[;y X o \¢n u o cd[?x°\+[$[$idzw«n n evX u X ´ y f cl[E i [cd[?y zwx zw['c zwj [?[?evz~i i [+\[?[$idzk evu [;f cdily i0eEuwuR[?e c*i ei i X ['xwfwo~evn Go y XkoEn n xwcX X [;f n ndocdilyCu[ n£¤o~n n \¢cr[$Zo z®y o o \¢uwe n c o zi o i X [ o i ovX [ n c?X ¡ no n W4X e c4[$gwuk[ evv[ zc4i e[®c o fw z X j3i zkX °[¾xk[$fw ev# [?"[3Xkco~n z xwc i+X y [?f \¢n ukcdil[$yid[$uRj¶[ nl¤xwoE[?n uR\+[?czwxk¡ [;[$z~idiil[ n i X i eE[®zbzhi X fw[ \ eK[ [$[$idzw y$ y$n fwevuic$X X [?fkidcdily z evy$i$ eEc'iiev©v[?c'z~i o evy$y o fwz~i'i X [ & (+* xwf n zki X [bxk[?y o \¢u o cdid o zZ "i¢y o z~i ndo c ¡ [$idil[ n i X c[ SRzwev &)(+* W4X c[ eK[$[$idzw n eEu X X [;f n cdily¬c Xko fkx ec o x o i X c$ ¡ fwifwz~ilrz o z o ceidc evy$i o~n j3c o fkil o z X eEc ¡ [?[?z ¤o fwzx i o x o i X evi$ W e ¡ [¬s®u n [;cl[;z~idcCc o \+[ n [?cfkidcCe ¡Ro fwi[$gk[?y$fwil o zil\[;c$ iCcy-[?e n i X eiCi X [¬¾fe " Xko~n xwc X [?f n cdily$ctct[?ccil\+[¢y o zwcfw\+zki X evzKi X A[ e [?[$ilzk n eEu X X [;f n cdily W4X [ n [?cfkidc n [;u n [;cl[;z~i ¤o~n i X A[ S n cdi ndo <w rr o i X [¬y$eEcl[;c$ ¤o~n i X [¬cd[?y o zwx nlo {s E ov i X [3y$evcd[?c? Zi X [?z¶ k s 9 ov i X ['y$eEcl[;c$ keEzwQx SRzweQj rk ~} evzwxbsw <v o i X ['y?evcd[?c?. îõîï|{?è} ªé.
(72) ]V . #,+ !0#&2"X#,+2z#,+
(73) ( s #&2 (/ #&!. 45 110. Lam MTG. 40. 90. 35 30. Number of registers. Number of registers. Lam MTG. 100. 25 20 15. 80 70 60 50 40 30. 10. 20 5. 10. 0. 0. 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0. 10. 20 30 40 50 Loops of Livermore and Linpack with DESP. 120 Lam MTG. Lam MTG. 110 100 90 Number of registers. Number of registers. 10 20 30 40 50 Loops of Livermore and Linpack with Gasperoni. 80 70 60 50 40 30 20 10 0. 50. 100 150 200 250 Loops of Nas with Gasperoni. 300. 55Ef n [J955_*[?vclid[. 50. 100. n4n [
(74) hfk n [;\[;z~idc o i X [ oho uwc. 150 200 250 Loops of Nas with DESP. 300. v/î. í.
(75) ];s.
(76) "!$#&%' () *#,+!-.(&(/ !0#12. ¾CfweG Eo n dc [ti X evz ¾Cfweõevc oho xbevc ¾Cfwev ¡ [?ilid[ n i X evz e [?[$idzk n evu X 9Û}- }- E ]< s~ rv¥ rk sv w]E < ]; w 9. ¼
(77) ¤ ? e [?[$idzk n evu X ]; w E vs]< sw r W e ¡ [¢] " o \¢uwe n c o zwc ¤oEn fwz nlo zw¢xw[$ n [$[Cevzxbxw[?y o \¢u o clil o z. ¼ ¸ ¸~¸. "!$#&%(' R;S.T U,RV W.T S/]^V W/X.T SWV Z/b.T _/X^V S T Z"X^V SX.T _/X^V. 687
(78) 9;:2<=<=>=7@?BADC.?29;C.C E@FHG"I5J
(79) KLE
(80) MONQP E@FHG"I5J\[E
(81) MONQP E@FHG"I5J
(82) aLE
(83) MONQP c$de:)fhg>=9g,i
(84) >Qj;k l FHG"I5J aLl MmNQP l\FHG"I5J\[l\MmNQP l\FHG"I5J
(85) KLl\MmNQP. )"
(86) +*,.-&/0#&%(' W.R/T UUV ]_.T YY,V Y^S.T Y,WV YnR/T UWV _/Y T WUV YnR/T Sb^V. )"12345+)/!$#&%(' X/Y T ZWV ].T`R5_^V Sb.T W/X^V U,T SWV W,T`R;UV W.R/T U"Y,V. W e ¡ [ " o ¢\ uwe n evilv[ n [;cdfkidc ¡ [$ir[$[;zDe W Ee zwx¾Cfwev G¸ õ/ ¼
(87) po ¸ ¾CfweGc*cd o r[ n i X evz e W q r V 1 ms rut I ; q v . ]w 9h k < q r V 1 s r t I ; q v . r w ];w sr q r V 1 s r t I ; q v ]^w w v \+z E r Vr 1 , rutr t I ; G v v . rnw s w r \z E V 1 , I ; G ]w w ]V}. ¾CfweGc evcdil[ n i X eEz e W r~}h] < Ew <r ]v]v] <]v r }k]v vs W e ¡ ['s5 Ógk[?y?fkil o z il\+['y o \¢uwe n c o z ¡ [$ir[$[;z e W eEzwx ¾fwev . . . . 0&- 5 zy " ) _0o [$vn cdil[ o nõn [;zwev\+zk n 7 9 :ky$evzCo [;zwcf o n [Hevz o uko il\¢eW4 X n [$En cd¤iloE[ n n ev o o y$eX id no zZjR4Xkfko i/evcGohiõo zw[$[?xc.nloi o zcl[ n i/y o oEu~n j u[ evil zwc? ~i4xk[? evxk[;cy xk[Cy \¢uwevy$il zZ [ [ [0evz i [ \[?i xZ k u3fz zkc\ [ cfkn ide ¡ [ ¤oEn [;\ ¡ [?o xwxk[;x n u ndo o y$[?cc o~X n c?X W4o~X n [3 oho u ¡Ro o xkj°io~clo [? c nd¡ o vE[ n¡ fwio z o [$ghi n e o un [ n evil o zwc e [0[-gk[?y?fkil[;x¬zy \¢uwe c z+4i i [ vzweRy xk[v5¥ u¬fwz zk'cr©~z *z¬evcev[ j¢fwcd[ fk id[?X y X zwoh o hfk[4i o ndo \¢u ndo v[4y n o xk[ hfweiQj 7Û] X<s:D o R4fkX iÓn*\+X [?i Xko xwcÓfcl[;x ¡R¤o~oEn n ¾¿ m u nlo y$[?Xwcc o o~n c/xo o oz o i5ndy o o z~i ndo i [' u®fwz zk3xk[? [$D[ 7 ]?ss :D*´z i [ i [ evzxZ r['[$e eid[?xbe¬\+[$i x i y z~i Gi*z x. îõîï|{?è} ªé.
(88) ]9. #,+ !0#&2"X#,+2z#,+
(89) ( s #&2 (/ #&!. i X [¢v[;zk[ n e5y$eEcl[ 7 }s:= W4X cC\+[$i Xko xev o *cfwcCi o y o \+ufkil[¬evzfwz ndo zk®xk[$ n [?[ ¤o~n X y X i X [ n [$Ecdil[ n e o y$evil o zc o ukil\¢e= i*ec o i n [?ci o o r[ n i X c*fwz nlo zw+xk[? n [$[E W4X ['y o xk[ ¤oEn [;\ ¡ [?xwxk[;x®u nlo y$[?cc o~n cr\fwcdi ¡ [ ~fwyª©3eEzwx®y o \+uevy-i7 ]?s:D w X [ n [;evcril[;y X zkhfk[?c xw[$v[? o u[;x ¤oEn [$gwuk o ieidzk«zwcdi n fwy-id o zhD[?v[$Huwe n e[?c\z¶v[?zw[ n eDuwf n u o cd[¬u nlo y$[?cc o~n c X eVE[ [?cc5y o zwclxk[ n evil o z ¤o~n y o xk[4y o \+uevy-id o zQ7 s:D"¿ o \+[ o~n © o zy o xk[4y o \¢uwevy$il o z ¤oEn ¾'¿ m X evc ¡ [$[;z xW4o X zk[ ¡ j+o ¥.[;o fwu[ n o cevzwAx neKn e n r[?xwn[$ 7 ]V} := ~X i X [?j+oc o v[4o i X cHu ndo oE¡ [;\¡ ¤¡ o~jn z~ilo [?v[ n zk[;o e n u¡ ndo n XeE\¢\zkR [$jx z iy zclxk[ [$Ecdil[ cevci [e y?eid zc'x zk[ [ [3y \¢uwevy$il z fkii [?jiev©v[ z~i o o eEy$y o fwz~i*id\+[y o ¡ zwcdi n ez~idc? itc Xko fwx ¡ [X y oX \¢ouwe n nl[?o x®4X i X n o~n ©hc n/¡n %j n y X [?z ¡ [ n v[ n n evzwx®¾Co e hxwc z 7 r:evzwx cd[?z [?c"eEzwx¬¿heVreVj~
(90) e 7 :D v y y zEi hi [ [$Ecdil[
(91) [ hfk [?\+[?z~idc"xf zky xk[ cy X [;xwfkzk ¡ fwi*z o i4i X J[ SRzwevGy o xk['cd?[v k= [Ee id[ n o~o u fz nlo zk +6®*& ®,5!-6 ¥ o _0q¦c*e+i oho ¤oEn4o ukil\¢ej e o y$evil[C o~o uwc? w[$i X [ n*¡ j y o z~i ndo zk+i X [ n [$Ecdil[ n4n [ hfk n [?\+[;zEic$ o~n i X [*fwz nlo zwxk[? n [$[ o i X [4 oho uZõ¥ o _0q y$evz X eEzwxk[*cl[?v[ n e n [$vcdil[ n S[?c? X y X c"fcl[ fk ¤oEn [;oh\ o ¡ [?xwxwnd[?o x¶u ndo y$[?cc o~n c? i\¢uk[?\+[;zEiccd[$E[ n e n [?vclid[ n ev o y$eid o z X [;f n cdily$c? .i X eiev"z~ o E[ ubfwz zkR ¯°[rfcl[;x'iõi o [?Vevfeil[Hi n evxk[$ o ±²c ¡ [$ir[$[?z'i X [y o xk[cl$[ o i X F[ SRzweh oho u'eEzwxi X [zhfw\ ¡ [ n.ov n [$Ecdil[ n c n
(92) [ hfk n [;x'i o e o y$evil[i X [4 oho uG 5 nlo \ i X [4[$gwu[ n \+[?z~idc? i"cÓy$[;e n i X ei"i X [*y o \+uevy-id o z ov i X [C oho u X evc4e+xk n [;y-i\+uevy-i o z3i X ['z~f\ ¡ [ nro5n [?vclid[ n cHzk[?[?xk[;x eEzwx i X [fwz ndo zk¢xk[? n [$[v R4fki0i*c0u o ccd ¡ ['i o y o z~i nlo Gi X [y o xk[cd?[ X [ S zwxkzkevz o ukil\¢e n [?vclid[ n e o y?eid o zZ i0c iX X [ty?evcd[04i X X i X [ o S n cdnliHo eEzwX x¬i X n X x X [;n f n Xcdily$cHn \¢uk[?\+[;zEid[?xz¥ o _tq' ~[$v[;z¢ i X [i X n x X [?f n clidy evc4e+[;cdcid i*y z~i i evzbi J[ S cli [;f cdily 236® &$ «# 06+/, ¯°[K¤i oEX n evz© mrnlov [?cc o o~n X e o ndo \ ? zkn E[ n clij Xkoo° X ¾[$eVre n [ ¤o~o n u ndo nlho xkzk X fc3n 4i X ¡ i X [ e¶ov ´¿X W uwevi \bK¯°[bevc i evzw©¶¾CeVhx [?v / [$u[;x fwc+i \+u E[3i [ [;evxwe ij i c uevuR[ n )00506®4*, 7Û] : n ©+_'hq*id\¢evzZ !0#&%A (
(93) !L N X# P( #&2 #&2^|#&! 2"!$#1 2
(94) 2 #&! * #,+ !- 2P+ !0N #&2 !1+ mrX ¾{i X [?cdc?P eKy ? zkE[ n clijv e o z~i n [?a evP "revzevxwe w´y$i o~¡ [ n ]?v^ rk 7 :C¾CeVhx 5 ReEy o zZ r¿hfwcevz ¥5 n e X ev\b Óevzwx§´tE[ n ¿ X e n uG " o \¢uk[ n+W/n evzwc ¤oEn \¢eil o zc ¤o~n >t X m [ n£¤o~n \¢eEzwy-[ " o \¢uwfkidzw % !0#&2^ + / s+ h < E 9 G s~ r^9~ vw V¾[?y-[;\ ¡ [ n ];v 9 7 s : n [$ oEn j " X evidzG+_0[$vcdil[ n q0 o y$eid o zeEzwx ¿hukzwbhe n eEu X " o o~n zkR | L
(95) !0#1 + "]V} E < G ²]?^ rk w~fwzk[]; ~ k Xz#&2^ + h ! O O % Ps+ # % 2 % #&(/ 2P+ !0 !0#12 v/î. í.
(96) ]sr.
(97) "!$#&%' () *#,+!-.(&(/ !0#12. o z "Hjhi nlo z«evzwx E[?eEzwzk[
(98) 5[ nn evz~il[E0¯ X evi c0zKe tev\+[ o~n i X [efk[ ov _*[?zev\+zw ¤oEn m e n e [?c\ ¾[$id[?y-id o z evzx¿~i o~n evv[q0 o y$evil o zZ z°¿he n ie p ¬Z¿ke X zk= ²[?xki o~n XN #&2^ + h'! 2 !* 2" !$#1 2" ( 2N2" 2 N (&( (| XN ++ #&2^ ? n m e n © m [?zzwcljhevzk[v wqtfkEfwcdiC]? ~}hh¥ o zwx o z m [?zwz«¿~idevil['u n [?cc? "uweE[?c¢];k ~}h zkv[ cdij 7 r:q0[$gwevzwx n [ 0 y X [?z ¡ [ n v[ n Hxke n x¿ h¾eVhxwc o zZ kevzxb¿heEzEi o c X kq ¡wn e X ev\b5´ukid\fw\ \ o xwfk o cdy X [;xwfk[?c ¤oEn \+zk\f\ n [?vclid[ nn
(99) [ hfk n [?\+[?z~idc? z pN#&2 + ! 2 !* 2" !$#1. 2) ( 2N2) 2 N% !0#&2^ wuweE[?c4s] ^9~w^ R4e n y-[$ o zew kEfwj ];v^rk o n X ¤oEn 7 < : " Xn clidzw[ cl[;z ¡ [$c? ¯§eE\ ~e ¡ jv HeEzwx q*ez(¥õy X zk[$*c©~jv' o ukil\+?zw \[;\ oEn j evzwx n [$vcdil[ n fwceE[ o zKi X [ " n eVjE£ k 2 !* 2"" !$#1\¢ 2"uk (
(100) [ il [? y 2" zk(L hfk2[;c # % !$#&2 ² E G w~fwzk[¬];vv 7 s} : " Xn clidzw[ Hcd[?z ¡ [$c$ õ¿hj~ez ¥õ[$ei$ .eEzwx R n fwz o eKe n \ o = W4X A [ e [$[?ilzk n eEu X Ce 0[? e o xw[$ ¤oEn ¥ o~o u "Hjky$y_0[$vcdil[ n q0 o y$eid o zZ zK¥õf ¡Ro \+ n Ryv G¯§\ Ro~ X \b m e n evc©[?evc H n ukx o fZ evzwx®E[?eEzh=¥/fwy evfxk o i$ R[?xki o~n c? XN #&2^ + ! h N #&2^ 2N2) 2x . N (&(/(N #&!-! N+ 2 % "#&( !0#12 2 # + ' j uwevv[?c < 9k <h}h ~¥.\¢evcc o P "Hjku n fwc$ w~fwzk[ ~} w 3];v^ rkk q "Fe mrn [;cdc? 7 : " Xn clidzw[ cl[;z ¡ [$c'eEzwx¶q0z~i o zk[ ¿keVreVj~ew3´ukil\¢eÓ oho u¶uwe n e[$;eil o zfwzwxk[ n'n [$vcdil[ n y o zwcdi n ez~idc? 'z e y X e[? [ n zwxwi$ h[?xki o~n XN #&2^ +Jh ! + #"!! L Ns+ 2 % "#&( + c . N (&( ( % !*+ o fw\+[b k]E ÓuweE[?c+uwu( 9^rk rvw 5q0eEy X [?zZ [ n \+eEz~jv "¾[?y-[;\ ¡ [ n ]E]-Ø]?s ]?E <w 7 :Je _' e n [$jE .¾+Ñ¿ / o~X zwc o zZ ¥H e [ n õeEzwx "t > m eEuwevxk\+i n o fG W4X [3y o \+uw[$ghij ov y o oEn zw+y$ n y$fke n e n y?cevzwxby XkoEn xwc? N #j( %$ #,+& ! .] E G w] <w v ~}h E~fwzk[¢]; v 7 ]? :5 evcu[ nlo zkeEzwx ? w¿hy X 4[?v[$c XkoEX zG O=3y$[;zEiHq* oEn i X \¢c ¤o~n "Hjky-yt¿ky X [?xwfwzk W [?y X zwy?eG_*[;u o~n .i r~}h]v t[$( ' oEn © ? zkv[ n cdijv w~fkjK]?v]v 7 ]v] :¥/evf n [" >0[;zwx n [?zZ fweEzk_' e o
(101) n ©3_ q0i\+eEzZ Zevzwx " X evzwx n ©V' e eKfw©v[ n p P0q n [?vc£ id p[ Nn NevN o %
(102) y$e% id#&o2^zA n ev2^\+ [$ ^oEn +© ¡ evE cd[?G x o z X [ n e n y X y?e5¡ y-jkn y-y+z~il[ n e5 n evu X c$ ) 2) (Lh. .] s ] rr ] rw h¿~[;ukil[;\ [ ];vvs 7 ]; :_0y X e n x¬q >fh±5Z¥. [$il\+[-l¿~[?zclilv. [ e o xfk o ¿hy X [;xwfkzkR O O !$#1+ w E < G Ñ r <~}k GEfwzw[«]?vEsw pN#&2 +D A! O O 2N2" 2 XzNN % % #&2^ 2 $ + # 2 2 % "( %A2 !- !0#12 7 ]?s :¾CeVhx®R o c o zZ wq0[$gkeEzwx n f ty o evfZ 0©EG¾Cfkili? eEzwx [?z [?zwzw[?xkjEr´ukil\¢eG_0[$vcdil[ n qt cdcd!-E%'zw\+ !0[?#1z~2diCi o X¥ oh(/zo uw!0Nc ¤2 oE#1n H \ s+ ¡ !*[;% xwxk++[?*,x L" -o $xk[ [?. zk[ n E evilG o zZ zn 2P+ !0#12 +' 2$
(103) + # 2. Z] Ñ rk] k ~}w ~q0u Ó]?E <w 7 ] 9:e o zky$e ¿ H¥õeE\ ¦¿ o ie n [ m u[?zkzk qtz Ó±²[?y$ilv[¿hy X [;xwfkzw W [;y X zk ~fw[ ¤oE0n /1 243 eevy X zk[?c? O O !$#1+ s E } G s0] ksE w ~fkj«]; w XN #&2^ + h! 5. L 2N2"A2Q pNNN %
(104) % #&2^A 2^ ^6$
(105) + # 2d 2 % ( %'2 !* !$#1 2 7 9:C_. . . îõîï|{?è} ªé. . .
(106) ]<. #,+ !0#&2"X#,+2z#,+
(107) ( s #&2 (/ #&!. 7 ]r:tõ¥/evzwxevfZ
(108) 2
(109) N% s 2
(110) !*#&( 2^ A X #&% ( 2. uev[;c v E w v W [?f ¡ zk[ n w¥õ[$uk$ Z];vv 7 ]< :_tezk[ n ¥.[;fwuR[ n c°eEzwx m [?il[ n eKe n r[?xw[$=%´uwil\[ n [?zxk[ " o \¢uk[ n f n ¾'¿ m c reEccdi E[ nl fk ¡ e n z $ $
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques