Communication mapping in multiprocessor platforms
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(2) UNIVERSIDADE FEDERAL DE PERNAMBUCO CENTRO DE INFORMÁTICA PÓS-GRADUAÇÃO EM CIÊNCIA DA COMPUTAÇÃO. CRISTIANO COÊLHO DE ARAÚJO. “Communication Mapping in Multiprocessor Platforms". ESTE TRABALHO FOI APRESENTADO À POS-GRADUAÇÃO EM CIÊNCIA DA COMPUTAÇÃO DO CENTRO DE INFORMÁTICA DA UNIVERSIDADE FEDERAL DE PERNAMBUCO COMO REQUISITO PARCIAL PARA OBTENÇÃO DO GRAU DE DOUTOR EM CIÊNCIA DA COMPUTAÇÃO.. ORIENTADORA: Edna Barros. RECIFE, JULHO/2005.
(3) Araújo, Cristiano Coêlho Communication mapping in multiprocessor platforms / Cristiano Coêlho de Araújo. – Recife : O Autor, 2005. 138 folhas : il., fig., tab. Tese (doutorado) – Universidade Federal de Pernambuco. CIn. Ciência da Computação, 2005. Inclui bibliografia. 1. Engenharia da computação – Sistemas digitais. 2. Plataformas multiprocessador – Simulação e análise. 3. Comunicação em plataformas – Mapeamento e implementação. I. Título. 004.272.26 004.35. CDU (2.ed.) CDD (22.ed.). UFPE BC2005-402.
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(12) 576
(13) 789:9 6<;>=? @
(14). _´ á fqcfjl^ ~ n^ bo^ nac^ fwetwg_jlgimodGf&mor'jw]_^`[_GngeV`[jlgimod`odGaD_twma_yGe^ t~mcacy_ni^ f Îhhhh áGi¯ _n`+jrsm.tl~ fgi~y_n`+jwmot$p.^Vd_^ tw`[jlgimodA1m+{hhhhhhhhhhhhhhh áGß± ~y_njlgi_twmce^ fwflmot&_n`+jrsm.tl~~1mcac^ n²hhhhhhhhhhhhhhhh áG ´ µ¥Ï!Ðï_twmce^ fwflmot&~ma_^Vnµ^_`o~1Gn^.Shhhhhhhhhhhhhh áG á ¶h||n`Ybo^6 ^V~ ~^ ~1m.tlqSa_^VbgieV^h~ma_^Vnµ^_`o~1Gn^×hhhhhhhhhh áGßì ¶h||^ tlg`[nÌyGfgdxjl^ tweVmod_dG^ ejwgm.ddG^j{motw¢u~1mcac^ n^_`o~1Gn^hhhhhhhh áG ñ_twm[jlmceVmonIm.tja_^ en`[t`+jwgm.d"^Vc`o~_n^6fV'hhhhhhhhhhhhhh áGøò gdxjw^Vtwtly__j$a_^ en`[t`+jwgm.d`odGaDv^ ]G`Ybgm.t^V_`[~_ni^ f ëhhhhhhhhhhh áG ï µ¥Ï|Ðïgidxjl^ tltwy_cjem.dxjltwmonin^ ttw^ ªxy_^6fj`odGa`otlvGgzjwtw`[jlgimod"~^Vjl]_mca_f hhhhh áG ðv_gidGacgid_pSac^ eVni`otw`[jlgimodv^Vj{|^ ^Vd `ufjwmot`[po^^Vni^V~^Vdxj`odGa`1_twm[jwmcemonµ:motlj &hhhh áGi3¯ ~^V~motwqS~u`[ ac^ eVni`otw`[jlgimodGf^Vc`o~_n^6fVhhhhhhhhhhhhhh áGi¯o¯k^jl^ dGac^6aD¥twe]I ac^6fleVtlgicjlgimodDm[r`Sµ¥Ï|ÐïGtlmce^6flflmot6khhhhhhhh áGi¯6± ¶h||n`Ybo^6 ^V~¥twe]I `[daDqcfjl^ ~Sac^6fleVtlgicjlgimodfVhhhhhhhhhh áGi¯ ´gdeniyGac^ac^6en`[t`+jlgimod^_`[~_ni^ f hhhhhhhhhhhhhhhh áGi¯Vá_twmeV^ fwfm.t|gidGfjw`odGe^ac^6en`[t`+jwgm.d"^_`o~1Gn^.Ähhhhhhhhhhhhh áGi¯6ìac^Vbge^gidGfj`[dGeV^ac^ eVni`otw`[jlgimod^_`[~_ni^ohhhhhhhhhhhhhh áGi¯ ñgdxjw^VtemodGd_^ ejlgimod fjwtlyGejly_tw^gdfj`[dGeV^a_^ en`[t`+jwgm.d"^Vc`o~_n^. hhhhhhhh áGi¯Yòxù_\&ˤD C\¶Ï»ac^ eVni`otw`[jlgimod^_`[~_ni^o¨hhhhhhhhhhhhh áGi¯ ïf^V3j Cac^ ni`YqSa_^ en`[t`+jwgm.d"^Vc`o~_n^.hhhhhhhhhhhhhhhh áGi¯ ðf^V3j C`ov_gac^ eVni`otw`[jlgimod^_`[~_ni^ohhhhhhhhhhhhhhhh áGß± f^V3j C$G`otw`o~^jl^ t$ac^ eVni`otw`[jlgimod"^V_`[~_ni^o hhhhhhhhhhhhhh áGß±c¯k_n`+jrsm.tl~v_gda_fl\'mSac^6en`[t`+jlgimod^_`[~_ni^ f hhhhhhhhhhhhh áGß±o±_n`+jrsm.tl~~1^ ~motwqS~u`[ ac^ eVni`otw`[jlgimod"^V_`[~_ni^oShhhhhhhhhhhh áGß±[´_n`+jrsm.tl~ `[__nigeV`+jwgm.dnim.`.acgid_puac^ eVni`otw`[jlgimod"^V_`[~_ni^ f <hhhhhhhhh áGß±+á_twma_yGe^ t·[emodfy_~^ t|_n`+jlrsmotw~ ^_`o~1Gn^.hhhhhhhhhhhhh áGß±oì`oe fqcf|jlmmon!yGfl`opo^.³hhhhhhhhhhhhhhhhhhhh áGß±[ñ_n`+jrsm.tl~ fgi~y_n`+jwmot$yGfw`[p.^o³hhhhhhhhhhhhhhhhh ìci¯em.~1~y_d_geV`[jlgimodDg~_ni^V~^Vdxj`+jlgimodD~mcac^Vn4&hhhhhhhhhhhhh ìcß±em.~1~y_d_geV`[jlgimodD~`o__gid_ p 1Gm+{h$hhhhhhhhhhhhhhhh ìc ´gdxjw^VtemodGd_^ ejlgimodDd_^j{motw¢S`oa_a_tl^6flf&flG`oeV^^ bo^ d.j`odGaeVmo~~yGd_gie `+jwgm.dDacgibgiflgimodhh ìc á ¶h|¡Ë¡b.^Vdxjw `odG`[p.^Vt$ac^ bxge^.¨hhhhhhhhhhhhhhhhh ìcßì ¶h||twgzjwgie `[nÏ$^Vp.gm.dGímce¢o^ t|ac^ bgieV^o&hhhhhhhhhhhhhhh ìc ñ~u`[__gid_pgi~1Gn^ ~1^ dxjw`+jwgm.d `[nipomotwgjl]_~ Ähhhhhhhhhhhhhh. ñ .ì ò ñ_¯ _ñ ¯ ñ[á ñ.ì ñ.ì ñxò ñxò ñoï òB ò¯ ò[± ò+´ òYá ò[ì ò[ì ò[ì ò+ñ ò+ñ òoò òoò ò+ï ò+ï ò+ð ï. ï _ï ¯ ï.ì ïxò ð[á ð.ì ðoñ ðoï.
(15) 576
(16) 789:9 6<;>=? @
(17). ò. ìcøò vG`ofl^_n`+jrsm.tl~{$gzjw]D^ bo^ d.j$~u`[d`[po^ twf&`.a_ac^ ahhhhhhhhhhhhö¯ ìc ï~u`[_:^ aD_n`+jlrsmotw~ {$gzjw] etwgzjwgie `[nµtw^Vpogimodnmce¢.^Vt$ac^Vbge^`.a_ac^ ahhhhhhhö¯_¯ ìc ð~u`[_:^ aD_n`+jlrsmotw~ {$gzjw] f]G`otl^6a"~^ ~1m.tlqSa_^VbgieV^`oa_a_^ aµ1hhhhhhhhhö¯ .± ìci3¯ fmor j{`otl^`[te]_gjl^6ejlyGtl^.xhhhhhhhhhhhhhhhhhhhö¯ o´ ìci¯o¯f`[tebcEï C$mce"ni`Yq.^Vt&]_^ `.ac^Vt&©n^.¤hhhhhhhhhhhhhhhhö¯ [á ìci¯6±_n`+jrsm.tl~]_^ `.ac^Vt&©Gni^h^_`o~1Gn^.hhhhhhhhhhhhhhhhö¯ .ì ìci¯ ´^Vb.^Vdxj$]_^ `.ac^Vt&©Gni^h^_`o~1Gn^.hhhhhhhhhhhhhhhhhö¯ .ì ìci¯Vá em.~y_d_geV`[jlgimodD]_^ `.ac^Vt©Gni^h^_`o~1Gn^._hhhhhhhhhhhhhhhö¯ xò ìci¯6ì`[_GngeV`[jlgimodD^Vbo^ dxj&]G^ `oa_^Vt&©Gni^^_`[~_ni^o)hhhhhhhhhhhhhö¯ oð ìci¯ ñ`[_GngeV`[jlgimodD^Vbo^ dxj&gi~_ni^V~^Vdxjw`[jlgimod©Gni^h^_`[~_ni^o hhhhhhhhhhö¯.3¯ ìci¯Yò`[_GngeV`[jlgimod e]G`[d_dG^Vnf&]_^ `.ac^Vt©Gni^h^_`[~_ni^oµhhhhhhhhhhhhhö¯.¯o¯ ñ_i¯em.~1~y_d_geV`[jlgimod `[dG`onqcflgif&fly__:motlj hhhhhhhhhhhhhhhö¯.¯ ´ ñ_ß± _n`+jrsm.tl~^_`[~_ni^{$gzjw]jw]_^h~mod_gjlm.tac^Vbge^.xhhhhhhhhhhhhö¯.¯Vá ñ_ ´ fgi~yGni`[jlgimodjlt`oe^©Gni^rstw`opo~^Vdxj6¤hhhhhhhhhhhhhhhhö¯.¯6ì ñ_ á _twmeV^ fwfm.twf|bg^ {Kmor!jw]_^fgi~yGni`[jlgimod-hhhhhhhhhhhhhhhö¯.¯ ñ ñ_ßìe]G`[dGd_^Vnf&bg^ {m[r-jl]G^fgi~y_n`+jwgm.dIhhhhhhhhhhhhhhhhö¯.¯ ð ñ_ ñmcec8gjlt`[dfl`.ejlgimodf|bgi^V{*m[r'jl]_^flg~y_n`+jlgimod!-hhhhhhhhhhhhö¯Y± òi¯ ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vt&`[_GngeV`[jlgimodDv_nmce¢"a_gi`opot`[~ 'hhhhhhhö¯Y±o± òß± ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^VtvG`ofl^_n`+jrsm.tl~ µhhhhhhhhhhö¯Y±o± ò ´~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vt&em.dc©GpoyGtl^6a"_n`+jlrsmotw~ hhhhhhhhö¯Y±[´ ò á ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vt_twmeV^ fwfm.twfbgi^V{hµhhhhhhhhhhö¯Y±[ñ òßì ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vt&e]G`[dGd_^Vnf&bg^ {hhhhhhhhhhhö¯Y±.ò ò ñ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vtmcec8gDjwtw`odGfl`.ejwgm.dGfbxgi^V{h!hhhhhhhö¯Y±[ï.
(18) &. '. Ê<È ¾)( F. GIH. Á&ÂÀÊ. ±ci¯ _twmeV^ fwfm.ta_^ fwetwgcjwgm.dGni`[jrsmotw~ufhhhhhhhhhhhhhhhh ±[ñ ±cß±fqcfjl^ ~ n^ bo^ nac^ flgp.d"jwmmonfem.~1`[twgiflmod)hhhhhhhhhhhhhh á.ï ìci¯ ngiv_t`[twqSfyG_m.tjw^ a a_`[jw`jq^6fVhhhhhhhhhhhhhhhh ïoï ìcß± _twma_yGe^ t·[emodfy_~^ teVmo~~y_dGgie `+jlgimod e]G`od_d_^Vn4¡hhhhhhhhhhhh ïoð ìc ´ em.~1:modG^Vdxj$ngiv_t`[twqo}hhhhhhhhhhhhhhhhhhhh ïoð ìc á em.~1:modG^Vdxjwf&mor'jw]_^h_twma_yGe^ t·[emodfy_~^ t|^Vc`o~_n^_n`+jlrsmotw~ hhhhhhh ð ìcßì _twmeV^ fwfm.twfa_`[jw`jq^6f&rsmot&jw]_^h_twma_yGe^ t·[emodfy_~^ t|^Vc`o~_n^.hhhhhhh ð_¯ ìc ñ^Vb.^VdxjfqdGe]_twmodGg 6`+jlgimodD`[dGaDe]G`od_d_^VneVmo~~yGd_gie `+jwgm.dp.tlm.y_Gf~u`[__gid_p hhhh ð.± ìcøò fle C&©_rsmue]G`[dGd_^VneVmo~~y_dGgie `+jlgimodD~u`[_Ggd_p.hhhhhhhhhhhhh ð.± ìc ï_twma_yGe^ t·[emodfy_~^ teVmo~~y_dGgie `+jlgimod `[daflqdGe]_twmod_g `[jlgimod"~u`o__gid_pG hhhh ðo´ ìc ð^Vb.^Vdxj$~`odG`[p.^Vt&{mota_fg V^G`otw`o~1^Vjl^ tb+`ony_^he `[ney_n`+jwgm.duhhhhhhhhh ðoð ìci3¯ _twma_yGe^ t·[emodfy_~^ t|~u`[G^6aGni`[jrsmotw~ ~^V~m.tlqS~u`o^Vc`o~_n^. hhhhhhö¯.± ñ_i¯e]G`[dGd_^Vnf&bg^ {b+`[niy_^ac^6fleVtlgicjlgimodfVhhhhhhhhhhhhhhhö¯.¯ ï òi¯ gdG_ycj$©Gni^ f&rsm.t&jl]_^h~y_njlge]G`[d_dG^Vnµ_twmcacyGe^ t·[em.dGfyG~1^ t`o__nigie `+jwgm.dhhhhhö¯Y±o± òß± ~y_njlge]G`od_d_^VnµGtlmcacyGeV^Vt·+eVmodGfly_~^Vt~u`[__gid_p)hhhhhhhhhhhhö¯Y±[´ ò ´ em.dc©GpoyGtl^6aS_n`+jlrsmotw~~^V~motwqu~u`[ tw^ fly_nzjfV hhhhhhhhhhhhö¯Y±+á ò á ^Vb.^Vdxj$~`odG`[p.^Vt&G`otw`o~1^Vjl^ twfb+`[niy_^ f Ihhhhhhhhhhhhhhhö¯Y±+á òßìetwgzjwgie `[nµtw^Vp.gm.d"nime¢.^Vt&G`otw`o~1^Vjl^ twfb+`[niy_^ f hhhhhhhhhhhhhö¯Y±+á ò ñ `[ycjwmo~u`+jwgie]G`otwa_{`otl^`[dGa flm[r j{&`[tw^eVma_^p.^Vd_^ tw`[jlgimodtl^6fy_njwf hhhhhhhö¯Y±oì òøò fgi~yGni`[jlgimodjlgi~1^`odGaDacy_t`+jlgimodDtw^ fly_nzjfV¤hhhhhhhhhhhhhhö¯Y±oì ò ï fgi~yGni`[jlgimodD^ trsm.tl~u`[de^tl^6fy_njwf hhhhhhhhhhhhhhhhö¯Y±[ñ ò ð~^ acg`[v:^VdGe] flg~y_n`+jlgimodjlgi~^`[dGaDacy_t`+jwgm.dtw^ fly_njwf hhhhhhhhhhö¯Y±.ò òi3¯ ^ a_gi`ov^ dGe]Dflgi~y_n`+jwgm.dDacyGtw`[jlgimod `[dGaD:^Vtlrsmotw~`odGe^tw^ fly_nzjfV<hhhhhhhö¯Y±[ï ï.
(19) 576
(20) 7898JLK 5 M
(21). ð. ï_i¯em.~1~y_d_geV`[jlgimodD~`o__gid_puem.d.jwtlgiv_ycjwgm.dGfKhhhhhhhhhhhhhö¯6´.±.
(22) N. Z. OQPSRUT2VXW. Y. ¼ÔÈ[-K¾÷Ã\+×¹ È ' ¾ ¼. $¥ eVeVmotacgdGpjwmjw]_^Ò_y_jly_tw^hm[rË¡~v:^ aGac^ a qcfjl^V~uf\'^ e]Gd_monimop.qutl^ m.tj&rstwmo~Ì$ Ï^ fl^ `[te]DÍtwmoyG^]i¯<_8 jl]_^{|m.tlnac{$gac^$^V~v^6a_ac^ auflqcfjw^V~uf¡~u`otl¢.^j{`.f^ fjlgi~u`+jw^ au`+j`Yáxì_ ðv_giningimodugid"±a[áG'Ëc^6ejw^ ajwmpotwm+{ `+j`odk`Yb.^Vt`[p.^`[dGdxy`[n¡t`+jw^um[r¯Vcá b m+bo^ tjw]_^Sd_^Vjh©Gbo^uq.^ `[tf µjl]_gf~u`otl¢.^jh{$gnin¤tw^ `.eD] `[ïoïDv_ginnigimodkvq ± aoð_ yGe]morcjl]_^&flyGeVeV^ fwf!morG^V~v^6a_ac^ afqcfjl^ ~f'gf'acyG^¤jwmjw]_^a_^Vbo^ nm._~^Vdxj'gidjw]_^&f^ ~1gem.dGacyGejlm.t!gidGacyGf jltwqogd fl^6eg`[n!jl]_^^V~^Vtwpogid_pSflqfjl^ ~14m.dc8e]Ggk²mc&`odGa ~y_njlgi_twmce^ fwflmotmc ² |mc&&jw^ e]_d_m.nm.pogi^ f jl]G`[jtl^6fyGnzjw^ a}rstlm.~¨jl]G^uv_gninigm.djwtw`odGflgifjlm.te `[G`.egjq m[r$eyGtltw^Vdxje]_giGfVS\&]G^"mfh`otl^ufl^6eg`[n¤ac^ bgieV^ f jl]G`[j¡gdxjw^Vpot`+jw^o[gidS`hflgd_p.n^e]Gg.~m.fj¡m[rIjl]_^&rsyGdGejwgm.dG`[nigzjq1m[rµ`hacgipogjw`onGfqcfjl^ ~D-«8j¤gidGeniyGac^6f_twmce^ fwflmotfV f:^ eVgi`ongfl^ aDgdxjw^VtemodGd_^ ejlgimod d_^Vj{|m.tl¢cf$`[daDjl]_gitwa G`[tljq"gidxjl^Vnini^ ejwyG`[n'_twmo:^Vtljqs«¬µ\&]_^p.tl^6`+j`oa_bY`odc jw`opo^m[ryGflgdGp"mf&gf$jw]G`+j$jw]_^Vq em.~v_gid_^hgid `uflgid_poni^ac^Vbge^h]_gipo] Gtlmce^6flflgid_p:m+{^Vt6_~gd_g`+jwy_twg 6`+jlgimod `[dGanim+{:m+{|^ t&eVmodGfly_~cjwgm.dË_`[~_ni^ f&m[rac^ bxge^6f|jl]G`[jtl^6ª.yGgtw^jw]_gf&jl^6e]_d_monimop.qS`[tw^~m.v_gni^_]_m.d_^ f ]G`[dac]_^Vna_f`odGa:motljw`ov_ni^~y_njlgi~1^6acg`hac^Vbge^ f \&]_^ |mcfem.d.j`[gidGf~yGnzjwg_ni^$]_^Vjl^Vtwmop.^Vd_^ moyGf'_twmce^ f fm.twf ¡£^ fl_gzjw^h]G`YbgdGp`vGtlgipo]xj&rsycjlyGtl^. |cmÎgif$dG^V{Kjl^ e]Gd_monimop.qujl]G`[jfjwgnin!Gtl^6f^ d.jf$fm.~^]`[tac{`otl^ `[dGaDflm[r j{&`[tw^e]G`onni^VdGpo^ f|jwma_^ flgp.d_^Vtdf ] e± _4 \&]_^gi~1^6acg`+jl^emodf^6ª.yG^VdGeV^hm[rjl]_^`oacb.^Vdxjm[rjl]G^ |mcÎjl^ e]Gd_monimop.q"gf&jl]_^gdetw^ `ofl^gd jw]_^eVmo~1 _ni^cgzjqjlmac^ flgipodÎ`Aacgipogjw`onflqcfjw^V~Æ{$]_ge]Î{|m.y_nav^g~_ni^V~^Vdxjw^ a m.dÎgzj6ë\&]_^}~1mxfjDyGfl^ aÎac^6fgipod ~^jl]Gma_monimopogi^ f`odGa jwmmonfvG`ofl^ amodjl]_^SÏ\$gí f1`[vGfjlt`oejlgimod}ni^Vb.^Vn¡acgad_m[j^ ngi~gd`+jl^1jw]_^utlgfl¢fmor¤rN`ogn y_tw^_twmo:^Vtwnq.\&]_^i^ h:m.tjjwmS~mcac^Vn`Sacgipogjw`on-flqcfjw^V~À`+jjw]_gfni^Vb.^Vn!gf$jwtl^ ~^VdGacm.yGf`odGa jw]_^flg~y_n`+jlgimod ^ trsm.tl~u`odGe^ujwmb.^Vtwgzrsqjw]_^DeVmotwtl^6ejwd_^ fwfmor$jl]_^ ac^ flgipod<gfjlmm:mmotjlmv^DyGfl^ aAi^ h:^6ejwgb.^Vniqo¥d_mojl]_^ t act`Y{$vG`oe¢1gifjw]_^ni`.e¢um[r!^Vc_tl^6flflgimod":m+{^Vt|jlm~ma_^VnµG`otjf|morjl]G^flqcfjw^V~ jw]G`+jeVmoy_naSv:^hg~_ni^V~^ d.jw^ a d_m[j$m.d_nq"gd ]G`otwac{&`[tw^v_ycj`[nflmgid fmor j{`otl^mot$gidD`ueVmo~v_gd`+jlgimodm[rvmojl] \&]_^yf^1m[r¡jw]_^ |mcKjl^6e]_d_monimop.q]`ofn^6a jwm"gi~1:motljw`odxje]G`od_po^6fgid jw]_^uac^ flgp.d}`[da b+`[nigiaG`+jlgimod jlknmporqtsvuwmpx7yzxw{}|s~mlxncrorqt. ¯3.
(23) gLJL ?:6 ? = 6 . ¯o¯. m[r'a_gp.gzj`[nIfqcfjl^V~uf \&]_^Gtlgi~u`[twq1m.d_^]G`of|v^ ^Vdjl]_^fly_vGfjlgjlycjwgm.dmorjl]_^Ï\$ík`[vGfjlt`oejlgimoduni^Vbo^ nIvxqjw]_^ fqcfjl^ ~ ni^Vb.^Vn'`odGaDjl]G^`oa_bo^Vdxjmor¡ni`od_poy`[po^6f$`[dGa jlmmonf$jw]G`+jfy_Gm.tjjw]_^fl:^ eg©e `+jlgimod `odGa flg~y_n`+jlgimod m[r$fqcfjl^ ~ ni^Vbo^ n¤ac^6fleVtlgicjlgimodfVS\&]_^"~1mxfjGtlm.~1gid_^ d.jmor&flyGe]kn`[d_p.yG`[p.^ f`[tw^Sqcfjw^V~" ] B´ _8^6e6 ] á _ `[dGaqcfjw^V~Ð^Vtwgnimop ] Bì _4\&]_^6f^n`[d_p.yG`[p.^ f]G`Ybo^gdxjltwmcacyGeV^ a}jl]_^uem.dGe^ cjhm[r&`[vGfjlt`oejeVmo~~y_dGgie `+jlgimod vq<yGflgdGpAe]G`[d_dG^VnfgdGfjl^6`oam[rflg~_ni^ flgp.dG`[nfV|jl]yGf`[ninm+{$gid_pjl]_^eni^ `[tSfl^V`[t`+jlgimodm[rhem.~_ycjw`[jlgimod `[dGa<emo~~y_d_geV`+jwgm.dA`[dGa~1mxfj1g~:motljw`od.j6vqk`ovGfjlt`oejwgdGp jl]_^g~_ni^V~^ d.j`+jwgm.d<m[r$jw]_^SrsyGdGejwgm.dG`[n gzjqG·[emo~~y_d_geV`+jwgm.d ¥d_mojl]_^ tgi~1:motljw`odxje]G`[d_p.^h]G`ofv^ ^Vd jl]G^`oa_bo^Vdxjmor-d_^ {³ac^ flgp.d ~^jl]Gma_monimopogi^ frsm.tjw]_^ac^6fgipod m[r em.~1Gn^Vkacgipogjw`onflqcfjw^V~uf }\&]_^a_^ flgp.d~1^Vjl]_mcacm.np.g^6f]G`Yb.^S~m+bo^6arstlm.~ jw]_^]`[tac{`otl^+·+flm[r j{&`[tw^eVm[ ac^ flgipodu`[_Gtlmx`oe] ] Bñ _4x{$]_^Vtw^$jw]_^~u`[gidS_twmov_ni^V~ë{`.fjlm~`o¢o^$jw]_^$j{macg h:^ tl^ dxj|ac^ flgipodjl^6`[~uf²fmor j{`otl^ `[dGa]`[tac{`otl^a_^ flgp.d_^Vtfw{|m.tl¢y_dGac^ t`hyGd_gz©^ aS~^Vjl]_mcacm.nm.poqsjl]G`[j&eVmoy_nau~u`[d`[po^fl:^ eg`[niniqjw]_^eVmo~1 ~y_dGgie `+jlgimodv^Vj{|^ ^Vd}jl]_^uflm[r j{&`[tw^`[da ]G`otwac{&`[tw^`[tljwfm[r¤jw]_^uac^ flgipodIjlmjl]_^ }ziwvBl}ciwz `[_Gtlmx`oe] ]ø3ò _4c{$]G^Vtw^jl]G^rsyGdGejwgm.dG`[nigzjqumor'`[d]_^jw^Vtwmop.^Vd_^ moyGf|`[__nigeV`+jwgm.dS~yfj&v^~u`[G^6aujlm`~y_njlg _twmeV^ fwfm.t|Gni`[jrsmotw~ ¥dA^Vc`o~_n^umorfyGe]krsyGdGejwgm.dc8`otwe]Ggzjw^ ejwy_tw^`o__twm.`.e]!{$]_ge]gfyGfl^ arsmotjl]_^ac^ flgp.dm[rem.~_n^V ^V~v^6a_ac^ a flqcfjw^V~ufVcgfjl]G^h¡ni`[jrsm.tl~ÄÌ`.f^6a"£^ flgp.ds¤Ì&£&~^jl]Gma_monimopoq ] Bï _8 \&]_^&~`[àmot-_n`Yqo^Vtfgidjl]_^^Vni^ ejltwmod_geVf-gidGacyGfjltwq`[tw^¤gidbo^ fjlgid_pgdjl]_^$ac^ bo^ nm._~^Vdxj-morG~yGnzjwg_twmce^6flflmot _n`+jrsm.tl~uf +jlmm.nif`odGa1~1^Vjl]_mcacm.nm.pogi^ f !Ë_`o~1Gn^6f`[tw^|jw]_^õ^Vc^ tlg`~y_njlgi~^ acg`_n`+jlrsmotw~ ac^Vb.^Vnimo:^ avq ¡]_gingiGf ] eð _8_`1_ni`[jrsm.tl~ jw]G`+j$gf&vG`ofl^ amodjl]G^ «¬|D`[dGaD\!twgi~1^6acg`Gtlmce^6flflmotf '¥dGm[jl]G^Vt$modG^gfjl]G^\&« ¶ ¥ ]¯ e__ni`[jrsm.tl~Äjl]`+jgfv^ gd_p ac^ bo^Vnimo:^ a rsmotjw]_^u±cßìoÍ `[dGa´.Í ~movGgni^_]Gmod_^6fV\&]_gif_n`+jlrsmotw~ gif&v`ofl^ amodjl]_^¥Ï _tlmceV^ fwfm.t ¶jl]_^ tgidxjl^ tl^6fjwgd_p_n`+jrsm.tl~uf`[tw^v`ofl^ a m.d}tw^ eVmodc©Gp.y_t`[v_ni^nimopoge[\&]_^~mxfj_twmo~gdG^Vdxj^V_`[~_ni^ f `[tw^jw]_^ /gnigidc ¡n`+jrsm.tl~¨Ò-|Í¡ ¥ ]i¯or¯ _8µgjeVmo~vGgd_^6fjw]_^`oacb+`[dxj`[po^6fmor¡jl]_^1m+{|^ tl&*Ï$«G*_twmce^6flflmot {$gzjw] jl]G¢^ 1G^Vgiv_gingjqDm[rjl]G^Ò-|ÍL¥ £_twmop.tw`o~`ov_ni^nimop.gieo¥nzjw^Vt` ]¯Y± _8{$]_ge] yGfl^ f_twmeV^ fwfm.tem.tl^6fV:`[dGa _twmeV^ fwfm.t|v`ofl^ a_ni`[jrsm.tl~uf&nig¢.^jw]_^¥Ï)¤tlgi~i^ /flqcdf ]¯6B´ _8 ¤¢¥i¤. ¦§¨§©«ª,©¬§®¢¯°§ ±2©³²S´gµ4¶i©«ª. «¬d jl]Ggif{motw¢"j{mS_twmov_ni^V~uf`[tw^hjw`.e¢n^6aµ\&]_^©Gtfjmod_^gifjl]G^gi~1Gn^ ~1^ dxjw`+jwgm.d m[r¤jl]_^1acgp.gzj`[nfqcfjl^ ~ em.~1~y_d_geV`[jlgimoduf:^ eVgz©^ aS`[j¡jl]_^fqcfjl^ ~ëni^Vb.^VnGgidS`h~y_nzjwgGtlmce^6flflmot¤_ni`[jrsm.tl~fgi~yGni`[jlmot6ovqjw`o¢xgid_phgidxjlm em.dGfgac^ tw`[jlgimodjl]_^~u`o__gid_pac^6egfgimodGf¡~`.ac^vqjl]_^a_^ flgp.d_^Vt6-\&]G^f^6em.dGa1_tlm.v_ni^V~ gf¡]Gm+{jwm^Vb+`onyG`[jl^ jl]_^emo~~y_d_geV`+jwgm.d~u`o__gid_pmod1jw]_^_n`+jlrsmotw~ vG`.f^6am.djl]_^gdcrsm.tl~u`[jlgimodp.`[jl]_^ tl^6aacyGtlgid_pjl]G^fqcfjl^ ~ fgi~yGni`[jlgimod ·¸ qtml¹tº »xvrorx{}¼¼«{}½e¹tm0¾g{um ¿xx{lÀ qtsn{MºemÁ3qtlmguÂB{uswÃeÄÄrxÅunuwÂem0Äexvrorx{}¼¼qt|eoM}~Eq usqt|<umlxv|B{}¹z¹trorqtrÆ.
(24) gLJL ?:6 ? = 6 ¤¢¥Ç. ¯6±. ÈɵËÊ7©Ì §Ír΢©Ï. Ì&`ofl^ amodjl]_^uGtlm.v_n^ ~ufac^ fwetwgiv^6agidjl]_^"_tl^ bgm.yGfhf^6ejwgm.djw]_^umovcà^6ejwgb.^um[rjl]_gfh{motw¢ gifhjlm etw^ `[jl^ `1~1^Vjl]_mcacm.nm.poq"`odGajlmmon'fy_Gm.tjflmuac^ flgp.d_^Vtf$eV`od g~_twm+bo^jl]G^Vgitac^ flgipod fG`.e^h^VGnm.tw`[jlgimode `[G`.egjq {$]_^Vd yfgid_pA_n`+jlrsmotw~îv`ofl^ aac^ flgipod \&]_gfSp.^Vd_^ tw`onmov_à^ ejwgb.^ eV`od v^f_nigj"gdxjwm<f^ bo^ tw`onf^6em.dGa_`[twq movcà^6ejwgb.^ f ¡\&]_^©Gtfjm.vcà^ ejlgibo^hgf&jl]_^a_^Vbo^ nm._~^Vdxjm[r`~^jw]_mcacmonimop.qursmot&jw]_^`[y_jlmo~u`[jlgegidxjl^ pot`+jlgimod m[rµ_twmce^ fwflmot¡`[te]_gjl^6ejlyGtl^6fgdSjl]_^jw`[twpo^Vj¡_n`+jrsm.tl~ \&]_^fl^ eVmodGam.vcà^ ejlgibo^$gf¡jwmac^V©Gd_^`a_^ flgp.>d 1Gm+{jlm fyG_m.tjjw]_^`oycjlm.~u`+jlge&~u`[_Ggd_pm[rIjl]_^fqcfjl^V~ ni^Vbo^ nGem.~~y_d_geV`[jlgimod1jlmjl]_^jw`[twpo^Vj¤`[te]_gjl^ ejly_tw^o-\&]_^ ni`.fj&mov_à^ ejwgb.^gf|jlmgi~1Gn^ ~1^ dxj$`~^ e]G`od_gf~jw]G`+j`[ninim+{f¡jw]_^p.`+jw]_^Vtwgid_pmor!]_gipo]Dn^ bo^VnµeVmo~~y_dGgie `+jlgimod gd_rsmotw~`[jlgimod"rstlm.~ jl]G^jw`[twpo^Vj&`otwe]Ggzjw^ ejwy_tw^o \&]_^S`[ycjwmo~u`+jwgiegid.jw^Vp.tw`[jlgimod}mor|_twmce^6flflmoth`[te]_gjl^6ejlyGtl^6f`onnim+{fac^ flgp.d_^Vtfjlm v_y_ginadG^V{ _ni`[jrsm.tl~uf ~motw^i^ h:^6ejwgb.^Vniq`[da`.f`emodf^6ª.yG^VdGeV^jwmugdetw^ `ofl^jl]_^hdy_~v^ t`Yb+`[gini`ov_ni^_n`+jlrsmotw~ufV¤\&]G^`[ycjwmo~u`+jwgie ~u`[__gid_pSmor¡emo~~y_d_geV`+jwgm.d tl^ n^6`ofl^ f&jw]_^ac^6fgipod_^ twf$rstlm.~jw]_^v_yGtwac^ d m[r~u`[dyG`onniq"gi~_n^ ~^Vdxjlgid_pSjw]_^ ]_gipo] ni^Vbo^ n!`[vfjwtw`.ejlgimod eVmo~~y_dGgie `+jlgimod ~^ e]`[d_gf~uf$morjl]_^flqcfjw^V~Àf:^ eVgz©:eV`+jwgm.dDjlmujw]_^j`[twpo^j`otwe]Ggz jl^6ejlyGtl^.¤\&]_^hp.`[jl]_^ tlgid_pm[r]_gipo]c8ni^Vbo^ nµemo~~y_d_geV`+jwgm.d gdcrsm.tl~u`[jlgimodD]_^VniGf&jw]_^ac^ flgipod_^ t&jlmjw`o¢o^ac^6fgipod ac^ eVgiflgimodGf{$gjl]_m.ycj]G`YbgdGpjwmu`[dG`oncq V^m.d_nq"nm+{Kn^ bo^Vnµgidcrsm.tl~u`+jwgm.d ¤¢¥lÐ. Ñ ¢¬§n´ Í<µ4ÒÓ§Í<¢¬4Ï. &\ ]_^©Gtwfjhemodxjwtlgiv_ycjwgm.d}m[r¤jl]_gf{|m.tl¢ gf`_twmce^ fwflmoteV^Vdxjltwge`o__twm.`oe] jwm ~1mcac^ n~y_njlgi_twmeV^ fwfm.t_n`+jl rsmotw~ufV-\&]_gif`o__twm.`oe]hgf-vG`ofl^ amodjw]_^^jl^ dGfgimodm[r_jw]_^&¥te]:`[te]_gjl^ ejly_tw^|a_^ fwetwgcjwgm.dn`[d_p.yG`[p.^«]i¯VáB_8 \&]_^`[__twm.`.e] gif`oniflmSvG`.f^6a mod`ac^ bgieV^1`odGa gidxjl^Vtem.d_d_^6ejlgimod dG^j{motw¢Dnigiv_tw`otlgi^ f{$]_m.fl^emo~:mod_^ dxjwf ~u`[¢o^gj^ `oflgi^Vtjl]_^`oycjlm.~u`+jlgimodm[r-jl]_^hgi~_ni^V~^Vdxjw`[jlgimodDm[rfqcfjl^V~n^ bo^VneVmo~~yGd_gie `+jwgm.dvG`.f^6a"m.d"jw]_^ qcfjw^V~"n`[dGpoyG`opo^o ¥ fl^ em.dGa em.dxjltwgv_y_jlgimod gif`u~^jw]_mcacmonimop.q`odGaDjlmmon-f^Vjrsm.t$jl]_^g~_ni^V~^ d.j`+jwgm.d m[rjl]G^em.~~y_d_g eV`[jlgimod `[dGa flqxde]_tlm.d_g `+jwgm.dfjw`otjwgd_p1rstwmo~ jw]_^flqfjl^ ~ fl^6eg©eV`[jlgimod m[r'jl]_^~y_njlgi_twmeV^ fwfm.t&_ni`[jrsm.tl~uf ac^ fwetwgiv^6a yGflgdGp"jw]_^_tlmceV^ fwfm.teV^Vdxjltwgie1`[G_tlmx`oe]\&]G^1~^Vjl]_mcacm.nm.poq flg~_nigz©^ fjl]_^u~mcac^ ngid_pDm[r¤jw]_^ _n`+jrsm.tl~ tw^ fjltwgiejlgid_p jl]G^Dac^6fgipodG^Vta_^ egflgm.djlm}jl]_^Detwgzjwgie `[n_tlmceV^ fwfm.t`[dGagidxjl^ tweVmod_d_^6ejwgm.dAd_^j{motw¢ em.~1:modG^Vdxjwf \&]_^g~_ni^V~^ d.j`+jwgm.dAm[rjw]_^"~u`o__gid_p}mor$jl]_^ fqcfjl^ ~ ni^Vb.^Vn&em.~1~y_d_geV`[jlgimodfl^6eg©G^ a vqujl]_^hac^6fgipodG^Vt6xgidDjl]_^~y_nzjwgGtlmce^6flflmot&_n`+jlrsmotw~ gif$`oycjlm.~u`+jl^6aµ¡\&]_^~^jw]_mcacmonimop.quyGf^6fjl]_^hac^6fgipodG^Vt ^c:^Vtljlgf^ jwm<ac^©d_^ jl]G^ ~u`[__gid_pA`odGajl]_^f:^V^6a `[dGajl]G^ tl^ ng`[vGgnigzjqm[r`[d `oycjlm.~`[jl^6a_tlmceV^ fwf1jlm g~_ni^V~^ d.j$jw]_^h~u`[_Ggd_pm.d"jw]_^h~y_njlgi_twmce^ fwflmot&_n`+jrsm.tl~ \&]_^ni`.fjhem.d.jwtlgiv_ycjwgm.d}gf`eVmo~~y_dGgie `+jlgimod`[dG`onqcflgiffly__:motljjwmxm.n-jl]G`[jGtlm+bgac^ fjlmjl]_^uac^6fgipodG^Vt fgi~yGni`[jlgimodDtl^6fy_njwf`ofwfmceg`+jw^ a"jlmjw]_^fqcfjl^ ~ni^Vbo^ n!em.~~y_d_geV`[jlgimod|\&]_^`[dG`onqcflgifjwmmonyGfl^ f$jl]_^fw`[~^ ~u`[__gid_pgdcrsm.tl~u`[jlgimodÎ_twm+bgia_^ avqjl]_^kac^6fgipod_^ tacyGtlgid_pAjw]_^g~_ni^V~^Vdxj`+jlgimodKm[rhjw]_^flqcfjw^V~Ôni^Vb.^Vn.
(25) gLJL ?:6 ? = 6 . ¯ ´. em.~1~y_d_geV`[jlgimod ¤¢¥pÔ. ¦§n´gÒ4Ì0§Ò2´g©Õ¢¯X§±2©³Ö×ËÌMÒª,©¬Ø§. &\ ]_^tl^6fj$mor'jw]_gif$a_meVy_~^Vdxjgf$fjwtlyGejly_tw^ aD`ofrsm.nnim+{f ¡|]`[cjw^Vt±_tw^ fl^Vdxjwf|jl]G^hvG`oflgieeVmodGeV^Vcjf&modD~y_n jlgi_twmeV^ fwfm.tac^6fgipod`[dGa jl]_^fjw`+jw^8m[r 4jl]_^V8`otjmod}jlmmonf`odGa~1^Vjl]_mcacm.nm.pogi^ frsmot~y_njlgi_twmce^ fwflmotac^ flgp.d \&]_^`o__twm.`oe]rsmotjl]_^g~_ni^V~^ d.j`+jwgm.d m[r¡fqcfjl^ ~ ni^Vb.^Vn'eVmo~~yGd_gie `+jwgm.d gd ~y_nzjwgGtlmce^6flflmot_ni`[jrsm.tl~uf gifgdxjltwmcacyGeV^ a gid e]G`[cjw^Vt´G¥ _twmeV^ fwfm.t$e^Vdxjwtlgeh`[_Gtlmx`oe]rsmotjw]_^~mcac^Vnigid_pSm[r~yGnzjwg_twmce^6flflmot$_n`+jl rsmotw~ufgfacgfleVyGflfl^ agide]G`ocjl^ táG\&]G^1`o__twm.`oe]ac^Vb.^Vnimo:^ a rsm.tjl]_^gi~_n^ ~^Vdxjw`[jlgimod}morflqcfjw^V~¨ni^Vb.^Vn em.~1~y_d_geV`[jlgimodgf^c_n`[gid_^6agdac^j`[gin¤gid<e]G`[_jl^Vtìc}\&]G^em.~~y_d_geV`[jlgimodA`odG`[niqcfgffly__:motljm[r$jw]_^ jw`otlp.^j_ni`[jrsm.tl~¨gf^c_n`[gid_^6a}gide]`[cjw^Vtñ_\&]_^utw^ fly_njwfmovcj`[gid_^ a}rstwmo~ jw]_^S`[_GngeV`[jlgimod}mor|jw]_^_twm[ mxf^6a`o__twm.`.e]_^ fgidj{mueV`.f^fjwyGacgi^ f`otl^p.gb.^VdDgd e]G`ocjl^ tò¡Ò-gd`[ninq._fm.~1^eVmodGeVnyfgimodGf&`odGarsycjly_tw^ ac^Vb.^Vnimo_~^ d.jf&`[tw^Gtl^6f^ d.jw^ agd e]G`ocjl^ t$ï_.
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(27) gLJL ?àßE KJ
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(35) gLJL ?àßE KJ
(36) 6 á 0â
(37) 2J Lã
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