mirror of
https://github.com/Steffo99/unimore-hpc-assignments.git
synced 2024-11-29 03:24:22 +00:00
501 lines
18 KiB
C
501 lines
18 KiB
C
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#include <assert.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <time.h>
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#include <omp.h>
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#include <cuda_runtime.h>
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#include "cublas_v2.h"
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#ifndef N
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#define N (1 << 10)
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#endif
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#pragma omp declare target
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#define SM 64
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#define NTHRDS7 (1 << 0x7) /* 2^{7} */
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#define NTHRDS8 (1 << 0x8) /* 2^{8} */
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#define NTHRDS9 (1 << 0x9) /* 2^{9} */
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#define LTEAMSD (1 << 0xD) /* 2^{13} */
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#define LTEAMSE (1 << 0xE) /* 2^{14} */
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#define LTEAMSF (1 << 0xF) /* 2^{15} */
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#define LTEAMSG (1 << 020) /* 2^{16} */
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#define BLKROW (512) /* 4x number of threads in each team */
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#define BLKDIM (16)
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void gemm_accel_opt2(float *restrict a, float *restrict b, float *restrict c, int n)
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{
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/*
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* - jik-loop
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* - 2^7 threads per team and 2^13 teams
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* - collapse(3)
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* - 4x j-loop unrolling (stride of 1 col )
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* - 4x i-loop unrolling (stride of 2^7 rows)
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* - 4x k-loop unrolling
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* - rb: 4x data re-use
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* - ra: 4x data re-use
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* - register blocking
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*/
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#pragma omp target data \
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map(to \
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: n, a [0:n * n], b [0:n * n]) map(tofrom \
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: c [0:n * n])
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{
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#pragma omp target teams num_teams(LTEAMSD) thread_limit(NTHRDS7) \
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map(to \
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: n, a [0:n * n], b [0:n * n]) map(tofrom \
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: c [0:n * n]) default(none) shared(a, b, c, n)
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#pragma omp distribute parallel for num_threads(NTHRDS7) \
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dist_schedule(static, NTHRDS7) collapse(3) default(none) shared(a, b, c, n)
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for (int j = 0; j < n; j += 4)
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{ /* 4x unrolling */
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for (int iblk = 0; iblk < n / BLKROW; ++iblk)
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{
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for (int i = 0; i < NTHRDS7; ++i)
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{ /* 4x unrolling */
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/* register for c: 4x j-loop * 4x i-loop */
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float rc0, rc1, rc2, rc3,
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rc4, rc5, rc6, rc7,
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rc8, rc9, rca, rcb,
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rcc, rcd, rce, rcf;
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rc0 = c[j * n + iblk * BLKROW + i];
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rc1 = c[j * n + iblk * BLKROW + i + NTHRDS7];
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rc2 = c[j * n + iblk * BLKROW + i + NTHRDS7 * 2];
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rc3 = c[j * n + iblk * BLKROW + i + NTHRDS7 * 3];
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rc4 = c[(j + 1) * n + iblk * BLKROW + i];
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rc5 = c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7];
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rc6 = c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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rc7 = c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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rc8 = c[(j + 2) * n + iblk * BLKROW + i];
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rc9 = c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7];
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rca = c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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rcb = c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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rcc = c[(j + 3) * n + iblk * BLKROW + i];
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rcd = c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7];
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rce = c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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rcf = c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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for (int k = 0; k < n; k += 4)
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{ /* 4x unrolling */
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/* register for b: 4x j-loop * 4x k-loop */
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float rb0, rb1, rb2, rb3,
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rb4, rb5, rb6, rb7,
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rb8, rb9, rba, rbb,
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rbc, rbd, rbe, rbf;
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rb0 = b[j * n + k];
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rb1 = b[j * n + k + 1];
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rb2 = b[j * n + k + 2];
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rb3 = b[j * n + k + 3];
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rb4 = b[(j + 1) * n + k];
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rb5 = b[(j + 1) * n + k + 1];
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rb6 = b[(j + 1) * n + k + 2];
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rb7 = b[(j + 1) * n + k + 3];
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rb8 = b[(j + 2) * n + k];
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rb9 = b[(j + 2) * n + k + 1];
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rba = b[(j + 2) * n + k + 2];
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rbb = b[(j + 2) * n + k + 3];
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rbc = b[(j + 3) * n + k];
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rbd = b[(j + 3) * n + k + 1];
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rbe = b[(j + 3) * n + k + 2];
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rbf = b[(j + 3) * n + k + 3];
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/* register for a: 4x i-loop * 4x k-loop */
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float ra0, ra1, ra2, ra3,
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ra4, ra5, ra6, ra7,
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ra8, ra9, raa, rab,
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rac, rad, rae, raf;
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ra0 = a[k * n + iblk * BLKROW + i];
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ra1 = a[k * n + iblk * BLKROW + i + NTHRDS7];
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ra2 = a[k * n + iblk * BLKROW + i + NTHRDS7 * 2];
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ra3 = a[k * n + iblk * BLKROW + i + NTHRDS7 * 3];
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ra4 = a[(k + 1) * n + iblk * BLKROW + i];
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ra5 = a[(k + 1) * n + iblk * BLKROW + i + NTHRDS7];
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ra6 = a[(k + 1) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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ra7 = a[(k + 1) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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ra8 = a[(k + 2) * n + iblk * BLKROW + i];
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ra9 = a[(k + 2) * n + iblk * BLKROW + i + NTHRDS7];
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raa = a[(k + 2) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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rab = a[(k + 2) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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rac = a[(k + 3) * n + iblk * BLKROW + i];
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rad = a[(k + 3) * n + iblk * BLKROW + i + NTHRDS7];
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rae = a[(k + 3) * n + iblk * BLKROW + i + NTHRDS7 * 2];
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raf = a[(k + 3) * n + iblk * BLKROW + i + NTHRDS7 * 3];
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/*
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* register blocking
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*/
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// col 1 of c:
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rc0 += ra0 * rb0;
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rc0 += ra4 * rb1;
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rc0 += ra8 * rb2;
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rc0 += rac * rb3;
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rc1 += ra1 * rb0;
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rc1 += ra5 * rb1;
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rc1 += ra9 * rb2;
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rc1 += rad * rb3;
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rc2 += ra2 * rb0;
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rc2 += ra6 * rb1;
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rc2 += raa * rb2;
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rc2 += rae * rb3;
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rc3 += ra3 * rb0;
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rc3 += ra7 * rb1;
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rc3 += rab * rb2;
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rc3 += raf * rb3;
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// col 2 of c:
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rc4 += ra0 * rb4;
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rc4 += ra4 * rb5;
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rc4 += ra8 * rb6;
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rc4 += rac * rb7;
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rc5 += ra1 * rb4;
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rc5 += ra5 * rb5;
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rc5 += ra9 * rb6;
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rc5 += rad * rb7;
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rc6 += ra2 * rb4;
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rc6 += ra6 * rb5;
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rc6 += raa * rb6;
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rc6 += rae * rb7;
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rc7 += ra3 * rb4;
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rc7 += ra7 * rb5;
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rc7 += rab * rb6;
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rc7 += raf * rb7;
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// col 3 of c:
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rc8 += ra0 * rb8;
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rc8 += ra4 * rb9;
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rc8 += ra8 * rba;
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rc8 += rac * rbb;
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rc9 += ra1 * rb8;
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rc9 += ra5 * rb9;
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rc9 += ra9 * rba;
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rc9 += rad * rbb;
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rca += ra2 * rb8;
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rca += ra6 * rb9;
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rca += raa * rba;
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rca += rae * rbb;
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rcb += ra3 * rb8;
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rcb += ra7 * rb9;
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rcb += rab * rba;
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rcb += raf * rbb;
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// col 4 of c:
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rcc += ra0 * rbc;
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rcc += ra4 * rbd;
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rcc += ra8 * rbe;
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rcc += rac * rbf;
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rcd += ra1 * rbc;
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rcd += ra5 * rbd;
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rcd += ra9 * rbe;
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rcd += rad * rbf;
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rce += ra2 * rbc;
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rce += ra6 * rbd;
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rce += raa * rbe;
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rce += rae * rbf;
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rcf += ra3 * rbc;
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rcf += ra7 * rbd;
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rcf += rab * rbe;
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rcf += raf * rbf;
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}
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c[j * n + iblk * BLKROW + i] = rc0;
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c[j * n + iblk * BLKROW + i + NTHRDS7] = rc1;
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c[j * n + iblk * BLKROW + i + NTHRDS7 * 2] = rc2;
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c[j * n + iblk * BLKROW + i + NTHRDS7 * 3] = rc3;
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c[(j + 1) * n + iblk * BLKROW + i] = rc4;
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c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7] = rc5;
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c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7 * 2] = rc6;
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c[(j + 1) * n + iblk * BLKROW + i + NTHRDS7 * 3] = rc7;
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c[(j + 2) * n + iblk * BLKROW + i] = rc8;
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c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7] = rc9;
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c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7 * 2] = rca;
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c[(j + 2) * n + iblk * BLKROW + i + NTHRDS7 * 3] = rcb;
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c[(j + 3) * n + iblk * BLKROW + i] = rcc;
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c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7] = rcd;
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c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7 * 2] = rce;
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c[(j + 3) * n + iblk * BLKROW + i + NTHRDS7 * 3] = rcf;
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} /* end i-loop */
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} /* end iblk-loop */
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} /* end j-loop */
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}
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}
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void gemm_cublas(float *restrict a, float *restrict b, float *restrict c, int n)
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{
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cublasHandle_t handle;
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float alfa = 1.0f,
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beta = 1.0f,
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*a_dev = NULL,
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*b_dev = NULL,
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*c_dev = NULL;
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/*
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* cublasSgemm in CUBLAS
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*/
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if (CUBLAS_STATUS_SUCCESS != cublasCreate(&handle))
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{
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printf("error: initialization (CUBLAS)\n");
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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if (cudaSuccess != cudaMalloc((void **)&a_dev, sizeof(*a) * n * n) ||
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cudaSuccess != cudaMalloc((void **)&b_dev, sizeof(*b) * n * n) ||
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cudaSuccess != cudaMalloc((void **)&c_dev, sizeof(*c) * n * n))
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{
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printf("error: memory allocation (CUDA)\n");
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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if (CUBLAS_STATUS_SUCCESS != cublasSetMatrix(n, n, sizeof(*a), a, n, a_dev, n) ||
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CUBLAS_STATUS_SUCCESS != cublasSetMatrix(n, n, sizeof(*b), b, n, b_dev, n) ||
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CUBLAS_STATUS_SUCCESS != cublasSetMatrix(n, n, sizeof(*c), c, n, c_dev, n))
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{
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printf("error: host --> accl (CUBLAS)\n");
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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if (CUBLAS_STATUS_SUCCESS != cublasSgemm(handle, CUBLAS_OP_N, CUBLAS_OP_N,
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n, n, n, &alfa, a_dev, n, b_dev, n, &beta, c_dev, n))
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{
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printf("error: cublasSgemm (CUBLAS)\n");
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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if (cudaSuccess != cudaDeviceSynchronize())
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{
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printf("error: device synchronization (CUDA)\n");
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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if (CUBLAS_STATUS_SUCCESS != cublasGetMatrix(n, n, sizeof(*c), c_dev, n, c, n))
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{
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printf("error: accl --> host (CUBLAS)\n");
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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exit(EXIT_FAILURE);
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}
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cudaFree(a_dev);
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cudaFree(b_dev);
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cudaFree(c_dev);
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cublasDestroy(handle);
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}
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static void reorder2(float *restrict a, float *restrict b, int n)
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{
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for (int i = 0; i < SM; i++)
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for (int j = 0; j < SM; j++)
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b[i * SM + j] = a[i * n + j];
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}
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static void kernel(float *restrict a, float *restrict b, float *restrict c, int n)
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{
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for (int i = 0; i < SM; i++)
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{
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for (int k = 0; k < SM; k++)
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{
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for (int j = 0; j < SM; j++)
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{
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c[i * n + j] += a[i * n + k] * b[k * SM + j];
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}
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}
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}
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|
}
|
||
|
|
|
||
|
|
void gemm_accel_opt(float *restrict a, float *restrict b, float *restrict c, int n)
|
||
|
|
{
|
||
|
|
#pragma omp target teams distribute parallel for collapse(3) map(to \
|
||
|
|
: n, a [0:n * n], b [0:n * n]) map(from \
|
||
|
|
: c [0:n * n]) schedule(static, 1)
|
||
|
|
for (int i = 0; i < n / SM; i++)
|
||
|
|
{
|
||
|
|
for (int j = 0; j < n / SM; j++)
|
||
|
|
{
|
||
|
|
for (int k = 0; k < n / SM; k++)
|
||
|
|
{
|
||
|
|
float b2[SM * SM];
|
||
|
|
reorder2(&b[SM * (k * n + j)], b2, n);
|
||
|
|
kernel(&a[SM * (i * n + k)], b2, &c[SM * (i * n + j)], n);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#pragma omp end declare target
|
||
|
|
|
||
|
|
void gemm_opt(float *restrict a, float *restrict b, float *restrict c, int n)
|
||
|
|
{
|
||
|
|
int bk = n / SM;
|
||
|
|
#pragma omp parallel
|
||
|
|
{
|
||
|
|
float b2[SM * SM];
|
||
|
|
#pragma omp for collapse(3)
|
||
|
|
for (int i = 0; i < bk; i++)
|
||
|
|
{
|
||
|
|
for (int j = 0; j < bk; j++)
|
||
|
|
{
|
||
|
|
for (int k = 0; k < bk; k++)
|
||
|
|
{
|
||
|
|
reorder2(&b[SM * (k * n + j)], b2, n);
|
||
|
|
kernel(&a[SM * (i * n + k)], b2, &c[SM * (i * n + j)], n);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void gemm(float *restrict a, float *restrict b, float *restrict c, int n)
|
||
|
|
{
|
||
|
|
int i, j, k;
|
||
|
|
#pragma omp parallel for simd collapse(2) schedule(simd \
|
||
|
|
: static)
|
||
|
|
for (int i = 0; i < n; ++i)
|
||
|
|
{
|
||
|
|
for (int j = 0; j < n; ++j)
|
||
|
|
{
|
||
|
|
float sum = 0.0;
|
||
|
|
for (int k = 0; k < n; ++k)
|
||
|
|
{
|
||
|
|
sum += a[i + k * n] * b[k + j * n];
|
||
|
|
}
|
||
|
|
c[i * n + j] += sum;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
int main(int argc, char *argv[])
|
||
|
|
{
|
||
|
|
int i, n = N,
|
||
|
|
iret = 0;
|
||
|
|
float *a, *b, *c, *g;
|
||
|
|
struct timespec rt[2];
|
||
|
|
double wt; // walltime
|
||
|
|
|
||
|
|
if (argc > 1)
|
||
|
|
n = atoi(argv[1]);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* 0. prepare x, y, and z
|
||
|
|
*
|
||
|
|
* y := a * x + y (on host)
|
||
|
|
* z := a * x + z (on accel)
|
||
|
|
*/
|
||
|
|
if (NULL == (a = (float *)malloc(sizeof(*a) * n * n)))
|
||
|
|
{
|
||
|
|
printf("error: memory allocation for 'x'\n");
|
||
|
|
iret = -1;
|
||
|
|
}
|
||
|
|
if (NULL == (b = (float *)malloc(sizeof(*b) * n * n)))
|
||
|
|
{
|
||
|
|
printf("error: memory allocation for 'y'\n");
|
||
|
|
iret = -1;
|
||
|
|
}
|
||
|
|
if (NULL == (c = (float *)malloc(sizeof(*c) * n * n)))
|
||
|
|
{
|
||
|
|
printf("error: memory allocation for 'z'\n");
|
||
|
|
iret = -1;
|
||
|
|
}
|
||
|
|
if (NULL == (g = (float *)malloc(sizeof(*g) * n * n)))
|
||
|
|
{
|
||
|
|
printf("error: memory allocation for 'z'\n");
|
||
|
|
iret = -1;
|
||
|
|
}
|
||
|
|
|
||
|
|
if (0 != iret)
|
||
|
|
{
|
||
|
|
free(a);
|
||
|
|
free(b);
|
||
|
|
free(c);
|
||
|
|
free(g);
|
||
|
|
exit(EXIT_FAILURE);
|
||
|
|
}
|
||
|
|
|
||
|
|
if (n <= 1024)
|
||
|
|
{
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 0);
|
||
|
|
gemm(a, b, c, n);
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 1);
|
||
|
|
wt = (rt[1].tv_sec - rt[0].tv_sec) + 1.0e-9 * (rt[1].tv_nsec - rt[0].tv_nsec);
|
||
|
|
printf("gemm on host : %9.3f sec %9.1f MFLOPS\n", wt, 2.0 * n * n * n / (1.0e6 * wt));
|
||
|
|
}
|
||
|
|
|
||
|
|
if (n <= 4096)
|
||
|
|
{
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 0);
|
||
|
|
gemm_opt(a, b, c, n);
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 1);
|
||
|
|
wt = (rt[1].tv_sec - rt[0].tv_sec) + 1.0e-9 * (rt[1].tv_nsec - rt[0].tv_nsec);
|
||
|
|
printf("gemm_opt on host : %9.3f sec %9.1f MFLOPS\n", wt, 2.0 * n * n * n / (1.0e6 * wt));
|
||
|
|
}
|
||
|
|
|
||
|
|
#if 0
|
||
|
|
#pragma omp target teams distribute parallel for map(to \
|
||
|
|
: a [0:n * n], b [0:n * n]) map(from \
|
||
|
|
: c [0:n * n]) collapse(2)
|
||
|
|
for(int i = 0; i < n; ++i){
|
||
|
|
for(int j = 0; j < n; ++j){
|
||
|
|
float sum = 0.0;
|
||
|
|
for(int k = 0; k < n; ++k){
|
||
|
|
|
||
|
|
sum += a[i+k*n]*b[k+j*n];
|
||
|
|
}
|
||
|
|
c[i*n+j] += sum;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (n <= 4096)
|
||
|
|
{
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 0);
|
||
|
|
gemm_accel_opt(a, b, c, n);
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 1);
|
||
|
|
wt = (rt[1].tv_sec - rt[0].tv_sec) + 1.0e-9 * (rt[1].tv_nsec - rt[0].tv_nsec);
|
||
|
|
printf("GEMM-opt1 on accel: %9.3f sec %9.1f MFLOPS\n", wt, 2.0 * n * n * n / (1.0e6 * wt));
|
||
|
|
|
||
|
|
for (i = 0; i < n; i++)
|
||
|
|
{
|
||
|
|
iret = *(int *)(g + i) ^ *(int *)(c + i);
|
||
|
|
assert(iret == 0);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 0);
|
||
|
|
gemm_accel_opt2(a, b, c, n);
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 1);
|
||
|
|
wt = (rt[1].tv_sec - rt[0].tv_sec) + 1.0e-9 * (rt[1].tv_nsec - rt[0].tv_nsec);
|
||
|
|
printf("GEMM-opt2 on accel: %9.3f sec %9.1f MFLOPS\n", wt, 2.0 * n * n * n / (1.0e6 * wt));
|
||
|
|
|
||
|
|
if (n <= 4096)
|
||
|
|
for (i = 0; i < n; i++)
|
||
|
|
{
|
||
|
|
iret = *(int *)(g + i) ^ *(int *)(c + i);
|
||
|
|
assert(iret == 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 0);
|
||
|
|
gemm_cublas(a, b, c, n);
|
||
|
|
clock_gettime(CLOCK_REALTIME, rt + 1);
|
||
|
|
wt = (rt[1].tv_sec - rt[0].tv_sec) + 1.0e-9 * (rt[1].tv_nsec - rt[0].tv_nsec);
|
||
|
|
printf("CUBLAS on accel: %9.3f sec %9.1f MFLOPS\n", wt, 2.0 * n * n * n / (1.0e6 * wt));
|
||
|
|
|
||
|
|
if (n <= 4096)
|
||
|
|
for (i = 0; i < n; i++)
|
||
|
|
{
|
||
|
|
iret = *(int *)(g + i) ^ *(int *)(c + i);
|
||
|
|
assert(iret == 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
free(a);
|
||
|
|
free(b);
|
||
|
|
free(c);
|
||
|
|
free(g);
|
||
|
|
|
||
|
|
return 0;
|
||
|
|
}
|