Polly Polyhedral Transformations for LLVM
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1 Polly Polyhedral Trasforatos for LLVM Tobas Grosser - Hogb Zheg Noveber 4, 200 Tobas Grosser - Hogb Zheg Polly Noveber 4, 200 / 9
2 Outle The Polyhedral Model 2 Research Projects 3 Polly Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
3 The SCoP - Statc Cotrol Part for = to (5 + 3) for j = to ( ) A[-j] = A[] f < ( - 20) A[+20] = j Structured cotrol flow Regular for loops Codtos Affe expressos ducto varables ad paraeters for: Loop bouds, codtos, access fuctos Sde effect free Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
4 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] = j= Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
5 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] = j=2= Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
6 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] = j = 3 = ( + ) Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
7 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] = j = /a Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
8 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =2 j= Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
9 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =2 j=2 Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
10 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =2 j=3 Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
11 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =2 j = 4 = ( + ) Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
12 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =2 j = /a Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
13 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] =4 j = /a Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
14 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] Doas j + Tobas Grosser - Hogb Zheg =4 j = /a Polly Noveber 4, / 9
15 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] Doas Schedules j + s = s2 = 0 s3 = j Tobas Grosser - Hogb Zheg =4 j = /a s = s2 = Polly Noveber 4, / 9
16 The Iterato Doa / Schedule for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] j A[][++] = A[-][+] + A[][+] Doas Schedules j + s = s2 = 0 s3 = j Tobas Grosser - Hogb Zheg =4 j = /a s = s2 = Polly Noveber 4, / 9
17 Schedulg Trasforato s/ s2 = p s3/j s2 = 0 s/ Orgal Schedules s = s2 = 0 s3 = j s = s2 = Tobas Grosser - Hogb Zheg t Trasfored Schedules p= j t = +j Polly p = ++ t = Noveber 4, / 9
18 Code Geerato j Orgal Code for ( = ; <= ; ++) { for (j = ; j <= + ; j++) A[][j] = A[-][j] + A[][j-] = 4 j = /a A[][++] = A[-][+] + A[][+] p Trasfored Code t parfor (p = ; p <= ++; p++) { f (p >= +2) A[p--][p] = A[p--2][p-] for (t = ax(p+, 2*p-); t <= p+; t++) A[-p+t][p] = A[-p+t-][p] + A[-p+t][p-] Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
19 Outle The Polyhedral Model 2 Research Projects 3 Polly Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
20 Source to source fraeworks Suf Oega LooPo Pluto... More tha 20 years of research Work o Tlg / Parallelzato / Prevectorzato CUDA / GPGPU Coarse gra parallels / Grd coputg Advaced algorths / Prove perforace Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
21 Speed coparso Cople ode GCC 4.5. clag 2.8 ICC. -O3 22.0s 22.0s 0 5.8s pluto-tled -O3 0 6.s 0 5.8s 0 2.5s Table: Matrx ultplcato o Itel 5 M double 2048 x 2048 Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
22 PoCC - SC0 Perforace Iproveet - AMD Optero 8380 (6 threads) Perf. Ip / ICC -parallel sedel ludcp lu jacob-2d graschdt gesuv gever ge dotge covar correl bcg atax ad 3 2 pluto-sartfuse pocc-axfuse pocc-sartfuse teratve Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
23 Source to source fraeworks Restrctos Lted to subset of C/C++ Requre aotated C code Oly caocal code Correct? (Iteger overflow, Operator overloadg,...) Tobas Grosser - Hogb Zheg Polly Noveber 4, 200 / 9
24 Outle The Polyhedral Model 2 Research Projects 3 Polly Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
25 The Archtecture Trasforatos * Classcal loop trasforatos (Blockg, Iterchage, Fuso,...) * Expose parallels * Dead structo elato / Costat propagato Depedecy Aalyss Vectorzer Backed LLVM IR SCoP Detecto & LLVM to Poly LLVM Poly Code Geerato LLVM IR OpeMP parallel backed OpeSCoP Iport/Export LooPo / Pluto / PoCC / Maual Optzato Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
26 Why optze o LLVM-IR? Froted depedet Fully autoatc Hgh SCoP coverage Itegrato wth vectorzer/ OpeMP code geerator Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
27 The SCoP - Revsed Thaks to Scalar evoluto Loop/Rego detecto LLVM caocalzato passes SCoP - The LLVM way Lted Scalars Ay scalars Structured cotrol flow Regular for loops Aythg that acts lke a regular for loop Codtos Affe expressos Expressos that calculate a affe result Sde effect free kow Meory accesses oly through arrays Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
28 Vald SCoPs do..whle loop = 0; do { t b = 2 * ; t c = b * * ; A[c] = ; += 2; whle ( < N); poter loop t A[024]; vod poter_loop () { t *B = A; whle (B < &A[024]) { *B = ; ++B; Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
29 The Archtecture Trasforatos * Classcal loop trasforatos (Blockg, Iterchage, Fuso,...) * Expose parallels * Dead structo elato / Costat propagato Depedecy Aalyss Vectorzer Backed LLVM IR SCoP Detecto & LLVM to Poly LLVM Poly Code Geerato LLVM IR Usable for experets OpeMP parallel backed Plaed Uder Costructo OpeSCoP Iport/Export LooPo / Pluto / PoCC / Maual Optzato Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
30 Ope Topcs Mult desoal arrays - Delearzato Iteger odulo arthetcs Optal type selecto Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
31 Ope Topcs Mult desoal arrays - Delearzato Iteger odulo arthetcs Optal type selecto Polly aloe s ot yet provg perforace of your code ad ay eve apply correct trasforatos o the LLVM-IR. Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
32 Thaks to Qualco for sposorg ths talk. Thak you. Ay Questos? Tobas Grosser - Hogb Zheg Polly Noveber 4, / 9
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