Cache organization on loop blocking

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HAL Id: inria-00074416

https://hal.inria.fr/inria-00074416

Submitted on 24 May 2006

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Cache organization on loop blocking

François Bodin, André Seznec

To cite this version:

François Bodin, André Seznec. Cache organization on loop blocking. [Research Report] RR-2255, INRIA. 1994. �inria-00074416�

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a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE

Cache Organization Influence on Loop Blocking

Fran¸cois Bodin, Andr´e Seznec

N˚ 2255

Mars 1994

PROGRAMME 1

Architectures parallèles, bases de données, réseaux et systèmes distribués

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Unit´e de recherche INRIA Rennes

IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France)

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^`d©6c2^`_aV^`p2dOVep2dO^v_O^`QV_aN_O]2NQdOV"f8RmMSR,TUVe_aVrMadN,=_O]2V"R,f2fwhv^{\eRm_a^`NQpwds¡]2^`dh`VRQnIdB_ONlVe_a_OVeMxRs6VeMSRmPQVTU^vdOd

MgR,_a^`N_O]8R,pdaVr_:aR,dadON2\g^{R,_a^`6V\rRQ\O]2VoRmp8nUTNQMOV"f2MOVnH^{\g_gR,l2h`Vf8VrM:N6MaT-Rmp8\gVQ

(7)

«¬]2Vep c2dO^`p2P nH^`MaV\g_jTR,f2fVn \rRQ\O]2VedN6MdaVe_RmdadaN2\g^{Rm_a^`QV!\eRQ\O]2Vrdk\gNQfHuH^`p2P£^`dP6Vep2VeMgR,h`h`uµ_a]2V

N6p2h`u!^{Rml2h`VdaN,_:¦xRmMaVdONQh`c2_O^vN6p!_aNERs6NQ^{n¤c2p2fwMaVnH^{\g_gR,l2h`VR,pn£\eRm_SR,dO_aMONQf2]2^{\l8Ve]Rs^`N6MadNQMdaN6TV

nH^`TUVep2da^`N6p2d=Nm _O]2V"R,MOMSRsuHd,¦]wVepc2da^`p2PR,:¦RsudOQVe¦VnRmdadaN2\g^{Rm_a^`QV"\eR6\O]2VQk,l2h`N2\OH^vpwP^`ddac -\g^`VepH_k

_O]cwd"Vgt2_aMgR\gNQTUf2c2_gR,_a^`N6p\gNQdO_N6Mx\gN6fHu^`p2P_O]2VR,MOMSRsuHd^`d"RsQNQ^{nHVsnF

¥NQMaVrN,QVeMskQN6c2Mda^`Tc2h{Rm_a^`NQp2d=Rmh`daNVedO_SRml2h`^vdO]_a]8Rm_k,VrQVepU¦]2VepMaVrda_aMOc8\g_Oc2Ma^`p2P_OV\O]2p2^{©6c2V"dOc8\O]-R,d

l2h`N2\OH^vpwPoR,p8nU\gNQfHuH^`p2PR,MaVc2daVsnFkHf8VrM:N6MaT-Rmp8\gVN,nI^vMOV\g_jTR,f2fVn\rRQ\O]2Ved"RmMaV"dO^`PQp2^21 \eRmpH_ah`uo¦NQMOdaV

_O]8R,pfVeM:N6MaTR,p8\gVNmBdaVr_R,pndOQVe¦VnRmdadONI\b^¢Rm_a^`QV\eRQ\O]2Vrd

p cwdac8RmhnH^`MaVs\g_::T-Rmf2f8VsnµNQMUdaVe_RmdadaN2\g^{Rm_a^`QVE\rRQ\O]2Vedsk_a]2Vªl8Ve]Rs^`N6MN,o\eR6\O]2VedNQp lwhvN2\OQVsn

RmhvP6NQMO^v_O]2TdnHVePQMgRQnHVrd"QVrMauMgR,f2^{nHh`u¦]2Vep_O]2Vl2h`N2\aH^`p2PjRQ\b_aNQM^`p8\gMOVR,dOVedkVgt2fVeMa^`TVrp_Od]8RsQVRmhvdON

lVeVep£\gN6p8nHc8\b_aVn¤¦]2^{\O]¤^vpnH^{\eR,_OVed_a]8Rm_RUh{R,MaP6VeMMSRQ\b_a^`NQpNm_a]wV\eRQ\O]2Vda^` eVTRsul8V\gNQpwda^{nHVeMOVn

N6MonHVe_OVeMaTU^`p2^`p2P_a]2Vl2h`N2\OH^vpwP:RQ\g_ONQMN6MR,:¦xRsuªdaQVr¦VnRmdadaN2\g^{Rm_a^`QV\eR6\O]2V_O]8R,p¤N6MoRUc2dacR,h

dOVe_:aR,dOdaN2\g^{R,_O^v6Vo\eR6\a]wVNQMOPR,pw^v sR,_a^`N6p=

¡]wVMaVeTR,^`p8nHVrM=N,2_O]2VfR,fVeM^vd>NQMOPR,pw^v rVnR,dÓNQh`h`N,¦dg§:pGRHV\g_O^vN6p~wke¦VMaVs\eR,h`hH_a]2Vf2MO^vp\g^`f2h`Ved=Nm

RdOQVe¦Vn6aR,dOdaN2\g^{R,_O^`QV\rRQ\O]2V H^`pRHV\b_a^`NQpS¦V"fwMaVedOVepH_"RQVeMOuodO^`Tf2h`VVgt2f8VeMO^`TVepH_¦]2^{\O]Vgt2f2h{R,^`p2d

¦]Hu£dOQVe¦Vn6aR,dOdaN2\g^{R,_O^`QV\eRQ\O]2VdO]2NQc2h{n Vgt2]2^`l2^`_RlVe_a_OVeM-Rs6VeMSRmPQVUl8Ve]Rs^`N6Mo_O]8R,p Rªc2dac8RmhdaVe_

RmdadaN2\g^{Rm_a^`QV\eRQ\O]2VQK§:p RHVs\g_a^`NQpµk=¦Vf2MOVedaVrp_U_a]2VUda^`Tc2h{R,_O^`NQp¤_aNHNQh`d¦]2^{\O]£]RsQVlVeVepµc2dOVn¨^`p

_O]2Vf8Rmf8VeMs§:p RIV\g_a^`N6pE2kH_O]2V^`Tf8R6\g_N,QR,MOu^`p2Pda^` eVrdNmRmMaMSRsuHd^vddO_ac8nI^vVsnNQpRVe¦ pHc2TVrMa^{\eR,h

6VeMap2Vrhvd NQMO^vP6^`p8R,h:kl2h`N2\a6Vn!R,pn¤l2h`NI\O6Vn!\gNQfw^vVsn!R,h`PQN6Ma^`_a]2TUdRmMaVda_Oc8nH^`VnF>§:p RIV\g_a^`N6p W2kF¦V_OMau

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\eR6\O]2VedR,d¦Veh`h=R,dN6pda6Ve¦Vn6aR,dadON2\g^{R,_a^`6Vo\eRQ\O]2Vrd RHV\g_O^`NQp*5dac2TUT-RmMa^` eVed_O]2^`dda_Oc8nHuH

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TUVeTN6Maul2h`NI\OR,_"RQnwnHMaVedOd0/*TRsuolVf2]HuHda^{\eRmhvh`uTR,f2fVnN6pf2]HudO^{\eR,h>hv^`p2V21 I3/LY^vpRmpuUN,_a]2V

nH^`dO_a^`p8\g_l8Rmp2Hd¡]2^`d"H^`da^`NQpªN,xRdaVe_RmdadaN2\g^{Rm_a^`QV\eRQ\O]2VG1_ad"¦^`_O]E^`_adf2]HuHda^{\eR,h^`TfwhvVrTVepH_SRm_a^`N,p&8

, l8Rmp2HdN,da_gR,_O^¢\TUVeTN6Mauo|YZds

§:p!RdOQVe¦Vn£RmdadONI\b^¢Rm_a^`QV\rRQ\O]2V Ij>^`PQcwMaV~LrkBnI^QFVeMOVepH_T-Rmf2f2^`p2Pc2p8\g_O^vN6p2doRmMaVc2dOVn¤N6M_a]2V

nH^`dO_a^`p8\g_\eRQ\O]2Vl8Rmp2Hd^:VQ`kBRTUVeTN6Maul2h`N2\O&Rm_R6n2nHMaVrdad4/ T-RsulVTR,f2fVn¤N6p!f2]HudO^{\eR,hh`^vpwV

165VI3/LY^vp\eRQ\O]2Vl8R,p2 ON6M^`p-fw]uHdO^¢\rR,hFh`^`p2V2187I3/LY^vp\eR6\O]2Vl8R,p2¤WQkHVe_g\,

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Vgt2]2^`l2^`_"Rmp¥Rs6VeMSRmPQVhvN,¦VeMTU^vdOdMgR,_O^vN_a]R,pdaVe_RmdadONI\b^¢Rm_a^`QV\eR6\O]2Ved

9 :<;=>=@?A BC?AD@&FEG BIHJ%!LK=@%?

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_ONT^`p2^`T^` eV"\gNQp"K8^{\g_T^`dadOVed"R,pn]8RmMSnH¦R,MOV\bNQda_s«!V"h`^`da_daNQTUVN,B_O]2VedOVf2MaN6f8VrMa_a^`VedG3`WSHk=Wr7a

(8)

data tag

f

f(A0) = f(A1) = f(A2)

A0 A1 A2

>^vP6c2MaVW8Sn2R,_gRl2h`NI\OHd\gNQp/K^¢\b_a^`p2PN6M"RdO^vpwPQh`VdaVe_NQp-R_:¦N,:¦RsuodOVe_:aR,dOdaN2\g^{R,_O^v6Vo\eR6\a]wV

data tag

f0 f1

A0 A1 A2

f0(A0)=f0(A1)=f0(A2)

f1(A1)

f1(A2)

f1(A0)

>^`PQc2MOV~8R,_gRl2h`N2\Od\gNQp/K^¢\b_a^`p2PNQMR\eRQ\O]2Vh`^`p2VNQpl8Rmp2O2kml2c2_p2NQ_NQpl8Rmp2W"N6pRda6Ve¦Vsn6

RmdadaN2\g^{Rm_a^`QV\eR6\a]wV

(9)

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\gN6pH_aVep8n&NQM_a]2VdgR,TVdaVr_o^`p!_a]wV\eRQ\O]2VQk_O]2Veu!R,MOVR,h`h\gN6p/K8^{\g_a^`p2P¥NQM_a]wVdSRmTVh`^vpwVo^`p!_a]wV

\eR6\O]2Vl8Rmp2Hd82N6p2VN,_a]2VlwhvN2\OHdTc2da_Kl8VMOVygV\b_aVn¥MaN6T_a]wV\rRQ\O]2VI:=^`P6c2MaVWLr

RIQVe¦Vn6aR,dOdaN2\g^{R,_O^v6Vo\eR6\a]wVedRsQNQ^{ndac8\O]!Rda^`_Oc8R,_O^vN6pluUdS\eRm_a_OVeMa^`p2P_a]wVon2R,_gR8wT-R,fwf2^`p2Pc2p8\O

_O^vN6p2d\eR,plV"\O]2NQdOVepdac\a]_O]8R,_¦]2Vrp2VeQVrM_:¦Nn2R,_gR"lwhvN2\OHd\gNQp/K^¢\b_NQMRda^`p2P6h`Vh`N2\eR,_O^`NQp^`p\eRQ\O]2V

l8Rmp2Ok2_O]2VeuU]8RsQVQVrMauh`N,¦ fwMaNQlR,l2^`h`^`_:uo_ON\gNQp/K^¢\b_NQM"Rh`NI\rR,_a^`N6p^`p\eRQ\O]2Vl8Rmp2I:>^vP6c2MaV~Le

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_O]2VTR,f2f2^`p2Pc2p8\g_O^vN6p2dTc2dO_"lV-\O]2N6daVep!dONER,d_ONRsQNQ^{nª]8RsH^`p2P_:¦NSR,h`TUNQda_p2Vr^vP6]Hl8N6MnwR,_SR

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¡]wV-nH^2QFVeMaVepH_UT-R,fwf2^`p2PUc2p8\g_O^`NQp2dTc2da_MaVedOf8V\b_¥R¤\gVeMO_SRm^vp¨N6MaT N,h`NI\rR,hnH^`dafVeMadO^vN6pµNQp R

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MOVePQ^`NQpNm\gN6p2daV\bc2_a^`QVn2Rm_SRl2h`NI\OHd^`pRdO^vpwPQh`V\eRQ\O]2VlR,p2O

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% & &('*)+ #%$ & =H?AD@&"EG%B HJ%%!LK=@%?

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f8Rmf8VrM2¡]wVedaVda6Ve¦^`p2Pc2p8\g_O^`NQp2dR,MOV"l8RmdaVnNQp.,"|Y^vpwPdaN6TVl2^`_ad^`p_O]2VR6n2nHMaVrdadN,RTVrTNQMOu

l2h`N2\O*I:R,d^`p 3`WSwkFWe7Le

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Z f2daVrc8nHN, =| MOVef2h{RQ\gVrTVepH_fNQh`^{\guµda^`TU^vh{RmMRmd_a]R,_nHVedg\gMa^`lVn ^`p 3`We7¦xRmdc2dOVn¬^vp¬_a]2V

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(10)

+ 8 "Y- $¤)µ"!Y

«!V]8RsQV"\gN6p8nHc8\b_aVnRQVeMOuda^`Tf2h`VVgt2f8VrMa^`TVepH__aN^`h`h`c2da_OMSRm_aV"_O]2V"lVep2V(18_ad_a]8Rm_\eR,pUl8VVgt2fV\g_OVn

¦^`_a]RdOQVe¦Vn6aR,dOdaN2\g^{R,_O^v6V\eRQ\O]2V^`p2dO_aVR6nUN,Rcwdac8Rmh=daVr_:aR,dadON2\g^{R,_a^`6V\rRQ\O]2VQ

ÓVe_c2d\gNQp2dO^{nHVeMR\eRQ\O]2V\bNQp2dO^vdO_a^`p2PNmYwW~\rRQ\O]2Vh`^`p2VedFVr_c2do\gN6p2da^{nHVrMRdOV©6c2Vep8\bV-Nm ,

n2Rm_SRUl2h`N2\Od¦^`_a]ªMSR,pnHNQT RQn2nHMOVedadOVed>¡]2^`ddaV©6c2Vrp8\gV^`d^`_aVeMgR,_O^v6Veh`uMaVR6n£WO_O^`TVeds8>^`QV\eRQ\O]2V

\gN6p/18P6c2MSRm_a^`NQp2d¦VeMaV¤da^`Tc2h{Rm_aVn 8nI^vMOV\g_jTR,f2fVnFk~£Rmp8n¬,:¦xRsu¨daVe_RmdadaN2\g^{Rm_a^`QVQk~£R,pnµ,:¦xRsu

dOQVe¦Vn6aR,dOdaN2\g^{R,_O^v6VQ6¡]2VfwdaVec8nIN, =|¨MaVefwh¢R6\gVeTUVepH_BfNQh`^{\gu¦R,dc2dOVnN6M=_a]wVdaQVr¦VnRmdadaN2\g^{Rm_a^`QV

\eR6\O]2V <HH¡]2VVbtIfVeMO^vTUVepH_¦R,dMOVefVR,_OVnN6p!WOOnH^2QFVeMaVepH_dOV©6c2Vep8\gVrdNQMVe6VeMaudaVs©QcwVep8\gVda^` eVQ

%> ) K)% ?A#2& ?A =@

>^`PQc2MOVNS6R^`h`h`c2da_OMSR,_OVed_a]2VRsQVrMSR,P6VMSRm_a^`NoNm=_a]2Vl2h`N2\OHdNm=_a]2VdaVs©QcwVep8\gV_O]8R,_MaVrT-R,^`pQR,h`^{n^`p_a]2V

\eR6\O]2VoRs_aVeM"RdO^vpwPQh`V"MOVRQnNmB_O]2V¦]2N6hvVdaV©6c2Vrp8\gVNQMdOV©6c2Vep8\gVda^` eVrd"QR,MOuH^vpwPMONQT S6~_ON2Ws~2

DM 2A 4A 8A 2SK 4SK valid blocks (%)

62.00 Size 64.00 66.00 68.00 70.00 72.00 74.00 76.00 78.00 80.00 82.00 84.00 86.00 88.00 90.00 92.00 94.00 96.00 98.00 100.00

100.00 200.00 300.00 400.00 500.00

8A 32A 2SK 4SK Valid blocks (%)

83.00 Size 84.00 85.00 86.00 87.00 88.00 89.00 90.00 91.00 92.00 93.00 94.00 95.00 96.00 97.00 98.00 99.00 100.00

100.00 200.00 300.00 400.00 500.00

IjRL Il#L

>^`PQc2MOV S8CIjRL|"R,_O^`NoNmBQR,h`^{nl2h`N2\Od"R _aVrMNQp2VMaVsRQnFk Il#L|"R,_O^`NN,QR,h`^{nl2h`N2\Od"R _aVrM_aVepMaVsRQnHd

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(11)

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(12)

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^`p_SRml2h`VW6

(13)

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