Outi f th Th Mutip Sv fm th 2009 Su Miytm Gt D E. P, http://futy.kutztw.u/p, CSC 402, F 2010 A (ik it) hh tb p k vy ik it, wig y th t tim it h bukt it. A g ut tt, th pbbiity f iig k -- whih ti witig -- i w. A tip pph t kig t fix umb NL f k h by m bukt, wh NL t gw with tb gwth. A bukt k i fu by NL = buktnumb % NL. Thi pph u mmy vh f k with i i ikih f witig f buy k. bukt 0 k f it mt mt mt bukt 1 k f it mt mt mt... bukt N-1 k f it mt mt mt Th tht quikt mgt bv t k i bu ut th t h t. Eh ptiti f y i quikt mgt i pt fm vy th ptiti, wig uyhiz. Th y yhizti u wh tw th ji ft thy mpt thi wk. Sm t hig t qui th tg vh ptti witig vh f k. It i pib t vi kig i ik it wh thy big, uig k t iiz wit t th. Wit th fit t uti thy fi th () tht thy mut mutt. Thy th qui k y t b mutt, -hk t u tht th ut wit th h mutt th i th mtim (.g., by uig mutti ut i th ), th pfm th mutti. Th mutti mut b i i f tp tht wi t t ivi. Lk mutti i i i gug with gbg ti (Jv Jyth), bu th tht t wi t h. (It my ty t t -- tmp qu bm pti ig i ut p.) I C++ if mutt t ptig, th ut might h wh ig tht. C++ qui k m mpx uti i uh. Kutztw CSC Mutip, pg 1
p w u Iti jut p xt ik ft ttig th w ik t vi k. Dti jut th p xt ik u th t b t, wig th gbg t t v th ft f (piby by th) t th big t g. Thi pph qui ik upt t b tmi pti, qui tmi idt b fg, qui mpit kig wh 2 wit i,.g., p- mutti ut. Skipit pfb t b t f ut thig, bu it uppt uy btt.t big qui gb k. Kutztw CSC Mutip, pg 2
Thi umt ti th iutti f mphiv pt. Ctt th uth if yu wu ik th mpt pt. Tb I i ummy f th pifiti f th th mutip v pvi by Su. A th v 64-bit hittu. Cuty Hy Hmi vib f mput i futy tut withi th Kutztw Uivity twk. R wi bm vib gi ft tiipt mv f th v t it with i ti vi. Hmi m with Si 10 it but h mv t Liux pmt bi. Hy Hmi hv ftig pit uit p. R h ftig pit uit f th ti UtSp T1 mutip. m h th / tt th k p mmy h Hy UtSp T2, T5120 v 8 8 64 1.2 Ghz 16 GB 16kb ih, 8kb h /, 4 MB L2 h (8 bk, 16 wy) Si Hmi AMD Opt 885, x64, X4600 v 8 2 16 2.7 Ghz 32 GB 128kb /, 1 mb L2 p. Liux R UtSp T1, T1000 v 8 4 32 1 Ghz 8 GB 16kb ih, 8kb h /, 3 MB L2 h (4 bk, 12 wy) Si Tb I: Ovviw f th pifiti f th th v mhi Kutztw CSC Mutip, pg 3
Figu 1 i bk igm f th UtSp T2 p hittu fu i Hy. A 8 x 9 b with fuy itt h f th 8 t th 8 bk f L2 h + th ytm itf uit f I/O. I iti t 8 hw thig uit 2 itg xuti uit p, th i ftig pit uit (FPU) tm pig uit f yptgphy p. A iit by Tb 1, th L2 h i ptiti it 8 bk with 16-wy, h by th b f Figu 1. Figu 1: Th UtSp T2 P Ahittu i Hy Eh ti it w mmy mgmt uit (MMU) f mppig btw vitu phyi mmy p. Eh hw th xut itit p i it w vitu mmy p. Attivy, mutip hw th up t hw th i th v xut withi th vitu p f ig p. Thi fxib mmy gizti i tu f th v f Tb 1. Th MMU i th T2 f Figu 1 uppt pg iz f 8 Kb, 64 Kb, 4 Mb 256 Mb. Figu 2 giv btt viw f th xuti timig f hw th xutig i 1; th u umt upit thi timig igm itiy f 2 thugh 8 t highight th th pim i th T2 p. Th tmp itv i bu iit hw th tht tuy pfmig mputti. Thk t th p f Kutztw CSC Mutip, pg 4
tw itg xuti uit p, tw th b tivy gg i mputti, whi th th witig f tg mmy t mpt. Mmy ty i pimy bttk i p ytm iuig mutip. Mutith hw p ig t tk vtg f thi ft by pviig wk f ubt f th hw th, up t 2 p T2 i Figu 2, whi th th bk fm ity witig f mmy t mpt. Mmy, v t ft, it- L1 h it- L2 h b i fm f I/O with pt t p wh mp with it- ithmti/gi/t pig. Aig itg xuti uit wu b fuit if th mmy hittu t u ik th xuti uit t ft ugh t kp th hw th tht iv th xuti uit fi with ituti. Figu 2: T2 th pim mtiz mmy ty ituti tm Eh hw th i h f th th v f Tb 1 it f tht ubt f p u qui t t miti tt f ig ituti tm, iuig t git, t git uh ituti pit, iiti git uh tk pit fm pit. A hw th t iu ALU t xuti gi. Exuti gi i h mg hw th,.g., th tw itg ftig pit xuti uit p 8-th f th UtSp T2 f Figu 1. Kutztw CSC Mutip, pg 5
Figu 3: Th Du- AMD Opt P Ahittu i Hmi Hmi Figu 4: Eh Twit L X4600 Mutitg Itti Tpgi Kutztw CSC Mutip, pg 6
Figu 5: Th UtSp T1 P Ahittu i R umb f th Gph 1: Mutith (thh) quikt u tim futi f th ut Kutztw CSC Mutip, pg 7
Kutztw CSC Mutip, pg 8 Gph 2: Mutith quikt with xpiit th ut mm i Gph 3: Quikt f 10 50 mii itg Hmi uig C++ Jv umb f th umb f th
Kutztw CSC Mutip, pg 9 Gph 4: Mutith mgt with xpiit th p iz mm i Gph 5: Hh t 1:10 it:kup ti uig Hihy/Shvit tip ik hh tb umb f th umb f th
Kutztw CSC Mutip, pg 10 Gph 6: St 1:10 it:kup ti uig iby CutSkipLitSt Gph 7: Hh t 1:10 it:kup ti uig iby CutHhMp umb f th umb f th
umb f th Gph 8: 15 X 15 N Qu Hy Hmi i C++ Jv umb th 0 15 182 1764 hy ++ 100.54 8.07 4.37 5.87 hy jv 112.602 8.936 6.253 5.391 hy pyth 19028.483 1517.602 745.118 737.132 hy jyth 24001.803 9654.617 12164.258 15132.37 hy ju 5883.59 475.08 215.809 223.569 hmi ++ 16.12 5.71 3.59 3.82 hmi jv 29.867 2.916 2.316 3.446 hmi pyth 2825.602 211.302 179.349 178.108 hmi jyth 5807.911 11283.732 7065.99 9025.306 hmi ju 1534.754 413.526 397.673 410.039 Tb 2: 15 X 15 N Qu Hy Hmi i mpi itpt gug Kutztw CSC Mutip, pg 11
OpMPBh i p u mutip bhmkig pjt. It iu gwig t f mutip bhmk vt t Autmti Iuty Ct, Ntwkig, Offi Appiti Suity. It i u imit t ttig 8 ut th, thugh th u hu b mb t y xti t iti th. It i witt i ANSI C uig Pth. My p i t hv tut xt tt th bhmk u mhi i pig 2011 CSC 580. I hv u th tig mthig bhmk i t hk ut th f mpiig uig th bhmk. Th ut f ppyig mutith vi f th Ptt-By- M tig h githm git 32 Mbyt tt t t pp i Tb 3. hy hmi th 290.4 49.2 1 142.4 25.5 2 71.2 18.1 4 35.7 17.6 8 Tb 3: Ptt-By-M tig h i ANSI C Kutztw CSC Mutip, pg 12