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/******************************************************************************
* Copyright (c) Intel Corporation - All rights reserved. *
* This file is part of the LIBXSMM library. *
* *
* For information on the license, see the LICENSE file. *
* Further information: https://github.com/hfp/libxsmm/ *
* SPDX-License-Identifier: BSD-3-Clause *
******************************************************************************/
/* Alexander Heinecke (Intel Corp.)
******************************************************************************/
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <sys/time.h>
#include <immintrin.h>
#ifdef __USE_MKL
#define MKL_DIRECT_CALL_SEQ
#include <mkl.h>
#endif
/*#define STREAM_A_B*/
#ifdef STREAM_A_B
#define STREAM_A_B_SIZE 1000
#define STREAM_A_B_PREFETCH
#endif
#ifdef USE_ASM_DIRECT
void dense_test_mul(const REALTYPE* a, const REALTYPE* b, REALTYPE* c);
#else
#include GEMM_HEADER
#endif
#ifndef MY_M
#define MY_M 20
#endif
#ifndef MY_N
#define MY_N 9
#endif
#ifndef MY_K
#define MY_K MY_N
#endif
#ifndef MY_LDA
#define MY_LDA MY_M
#endif
#ifndef MY_LDB
#define MY_LDB MY_K
#endif
#ifndef MY_LDC
#define MY_LDC MY_M
#endif
#define REPS 100000
/*#define REPS 1*/
static double sec(struct timeval start, struct timeval end) {
return ((double)(((end.tv_sec * 1000000 + end.tv_usec) - (start.tv_sec * 1000000 + start.tv_usec)))) / 1.0e6;
}
void run_test(void) {
/* allocate */
#ifdef STREAM_A_B
REALTYPE* l_a = (REALTYPE*)_mm_malloc(MY_LDA * MY_K * sizeof(REALTYPE) * STREAM_A_B_SIZE, 64);
REALTYPE* l_b = (REALTYPE*)_mm_malloc(MY_LDB * MY_N * sizeof(REALTYPE) * STREAM_A_B_SIZE, 64);
unsigned int l_s;
#else
REALTYPE* l_a = (REALTYPE*)_mm_malloc(MY_LDA * MY_K * sizeof(REALTYPE), 64);
REALTYPE* l_b = (REALTYPE*)_mm_malloc(MY_LDB * MY_N * sizeof(REALTYPE), 64);
#endif
REALTYPE* l_c = (REALTYPE*)_mm_malloc(MY_LDC * MY_N * sizeof(REALTYPE), 64);
REALTYPE* l_c_gold = (REALTYPE*)_mm_malloc(MY_LDC * MY_N * sizeof(REALTYPE), 64);
REALTYPE l_max_error = 0.0;
unsigned int l_i;
unsigned int l_j;
unsigned int l_t;
unsigned int l_m;
unsigned int l_n;
unsigned int l_k;
struct timeval l_start, l_end;
double l_total;
#ifdef STREAM_A_B
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
REALTYPE* l_p_a = l_a + (l_s * MY_K * MY_LDA);
#else
REALTYPE* l_p_a = l_a;
#endif
/* touch A */
for ( l_i = 0; l_i < MY_LDA; l_i++) {
for ( l_j = 0; l_j < MY_K; l_j++) {
#if REPS==1
l_p_a[(l_j * MY_LDA) + l_i] = (REALTYPE)libxsmm_rng_f64();
#else
l_p_a[(l_j * MY_LDA) + l_i] = (REALTYPE)(l_i + (l_j * MY_M));
#endif
}
}
#ifdef STREAM_A_B
}
#endif
#ifdef STREAM_A_B
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
REALTYPE* l_p_b = l_b + (l_s * MY_N * MY_LDB);
#else
{
REALTYPE* l_p_b = l_b;
#endif
/* touch B */
for ( l_i = 0; l_i < MY_LDB; l_i++ ) {
for ( l_j = 0; l_j < MY_N; l_j++ ) {
#if REPS==1
l_p_b[(l_j * MY_LDB) + l_i] = (REALTYPE)libxsmm_rng_f64();
#else
l_p_b[(l_j * MY_LDB) + l_i] = (REALTYPE)(l_i + (l_j * MY_K));
#endif
}
}
}
#ifdef STREAM_A_B
}
#endif
/* touch C */
for ( l_i = 0; l_i < MY_LDC; l_i++) {
for ( l_j = 0; l_j < MY_N; l_j++) {
l_c[(l_j * MY_LDC) + l_i] = (REALTYPE)0.0;
l_c_gold[(l_j * MY_LDC) + l_i] = (REALTYPE)0.0;
}
}
#ifdef __USE_MKL
{
char l_trans = 'N';
int l_M = MY_M;
int l_N = MY_N;
int l_K = MY_K;
int l_lda = MY_LDA;
int l_ldb = MY_LDB;
int l_ldc = MY_LDC;
if (sizeof(REALTYPE) == sizeof(double)) {
double l_one = 1.0;
dgemm(&l_trans, &l_trans, &l_M, &l_N, &l_K, &l_one, (double*)l_a, &l_lda, (double*)l_b, &l_ldb, &l_one, (double*)l_c_gold, &l_ldc);
} else {
float l_one = 1.0f;
sgemm(&l_trans, &l_trans, &l_M, &l_N, &l_K, &l_one, (float*)l_a, &l_lda, (float*)l_b, &l_ldb, &l_one, (float*)l_c_gold, &l_ldc);
}
}
/* touch C */
for ( l_i = 0; l_i < MY_LDC; l_i++) {
for ( l_j = 0; l_j < MY_N; l_j++) {
l_c[(l_j * MY_LDC) + l_i] = (REALTYPE)0.0;
l_c_gold[(l_j * MY_LDC) + l_i] = (REALTYPE)0.0;
}
}
#endif
/* C routine */
gettimeofday(&l_start, NULL);
#ifndef __USE_MKL
#pragma nounroll_and_jam
for ( l_t = 0; l_t < REPS; l_t++ ) {
#ifdef STREAM_A_B
REALTYPE* l_p_a = l_a - (MY_K * MY_LDA);
REALTYPE* l_p_b = l_b - (MY_N * MY_LDB);
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
l_p_a += (MY_K * MY_LDA);
l_p_b += (MY_N * MY_LDB);
#else
REALTYPE* l_p_a = l_a;
REALTYPE* l_p_b = l_b;
#endif
for ( l_n = 0; l_n < MY_N; l_n++ ) {
for ( l_k = 0; l_k < MY_K; l_k++ ) {
#pragma vector always
for ( l_m = 0; l_m < MY_M; l_m++ ) {
l_c_gold[(l_n * MY_LDC) + l_m] += l_p_a[(l_k * MY_LDA) + l_m] * l_p_b[(l_n * MY_LDB) + l_k];
}
}
}
#ifdef STREAM_A_B
}
#endif
}
#else
char l_trans = 'N';
int l_M = MY_M;
int l_N = MY_N;
int l_K = MY_K;
int l_lda = MY_LDA;
int l_ldb = MY_LDB;
int l_ldc = MY_LDC;
if (sizeof(REALTYPE) == sizeof(double)) {
double l_one = 1.0;
for ( l_t = 0; l_t < REPS; l_t++ ) {
#ifdef STREAM_A_B
REALTYPE* l_p_a = l_a - (MY_K * MY_LDA);
REALTYPE* l_p_b = l_b - (MY_N * MY_LDB);
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
l_p_a += (MY_K * MY_LDA);
l_p_b += (MY_N * MY_LDB);
#else
REALTYPE* l_p_a = l_a;
REALTYPE* l_p_b = l_b;
#endif
dgemm(&l_trans, &l_trans, &l_M, &l_N, &l_K, &l_one, (double*)l_p_a, &l_lda, (double*)l_p_b, &l_ldb, &l_one, (double*)l_c_gold, &l_ldc);
#ifdef STREAM_A_B
}
#endif
}
} else {
float l_one = 1.0f;
for ( l_t = 0; l_t < REPS; l_t++ ) {
#ifdef STREAM_A_B
REALTYPE* l_p_a = l_a - (MY_K * MY_LDA);
REALTYPE* l_p_b = l_b - (MY_N * MY_LDB);
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
l_p_a += (MY_K * MY_LDA);
l_p_b += (MY_N * MY_LDB);
#else
REALTYPE* l_p_a = l_a;
REALTYPE* l_p_b = l_b;
#endif
sgemm(&l_trans, &l_trans, &l_M, &l_N, &l_K, &l_one, (float*)l_p_a, &l_lda, (float*)l_p_b, &l_ldb, &l_one, (float*)l_c_gold, &l_ldc);
#ifdef STREAM_A_B
}
#endif
}
}
#endif
gettimeofday(&l_end, NULL);
l_total = sec(l_start, l_end);
#ifndef __USE_MKL
printf("%fs for C\n", l_total);
#ifdef STREAM_A_B
printf("%f GFLOPS for C\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0 * ((double)STREAM_A_B_SIZE)) / (l_total * 1.0e9));
#else
printf("%f GFLOPS for C\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0) / (l_total * 1.0e9));
#endif
#else
printf("%fs for MKL\n", l_total);
#ifdef STREAM_A_B
printf("%f GFLOPS for MKL\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0 * ((double)STREAM_A_B_SIZE)) / (l_total * 1.0e9));
#else
printf("%f GFLOPS for MKL\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0) / (l_total * 1.0e9));
#endif
#endif
gettimeofday(&l_start, NULL);
libxsmm_timer_tickint l_cyc_start = libxsmm_timer_cycles();
for ( l_t = 0; l_t < REPS; l_t++ ) {
#ifdef STREAM_A_B
REALTYPE* l_p_a = l_a - (MY_K * MY_LDA);
REALTYPE* l_p_b = l_b - (MY_N * MY_LDB);
for ( l_s = 0; l_s < STREAM_A_B_SIZE; l_s++ ) {
l_p_a += (MY_K * MY_LDA);
l_p_b += (MY_N * MY_LDB);
#else
REALTYPE* l_p_a = l_a;
REALTYPE* l_p_b = l_b;
#endif
#ifdef STREAM_A_B_PREFETCH
dense_test_mul(l_p_a, l_p_b, l_c, l_p_a + (MY_K * MY_LDA), l_p_b + (MY_N * MY_LDB), NULL);
#else
dense_test_mul(l_p_a, l_p_b, l_c);
#endif
#ifdef STREAM_A_B
}
#endif
}
libxsmm_timer_tickint l_cyc_end = libxsmm_timer_cycles();
gettimeofday(&l_end, NULL);
l_total = sec(l_start, l_end);
printf("%fs for assembly\n", l_total);
#ifdef STREAM_A_B
printf("%f GFLOPS for assembly\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0 * ((double)STREAM_A_B_SIZE)) / (l_total * 1.0e9));
#else
printf("%f GFLOPS for assembly\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0) / (l_total * 1.0e9));
printf("%f FLOPS/cycle for assembly (using libxsmm_timer_cycles())\n", ((double)((double)REPS * (double)MY_M * (double)MY_N * (double)MY_K) * 2.0) / ((double)(l_cyc_end - l_cyc_start)));
#endif
/* check result */
for ( l_i = 0; l_i < MY_M; l_i++) {
for ( l_j = 0; l_j < MY_N; l_j++) {
#if 0
printf("Entries in row %i, column %i, gold: %f, assembly: %f\n", l_i+1, l_j+1, l_c_gold[(l_j*MY_M)+l_i], l_c[(l_j*MY_M)+l_i]);
#endif
if (l_max_error < fabs( l_c_gold[(l_j * MY_LDC) + l_i] - l_c[(l_j * MY_LDC) + l_i]))
l_max_error = fabs( l_c_gold[(l_j * MY_LDC) + l_i] - l_c[(l_j * MY_LDC) + l_i]);
}
}
printf("max. error: %f\n", l_max_error);
/* free */
_mm_free(l_a);
_mm_free(l_b);
_mm_free(l_c);
_mm_free(l_c_gold);
}
int main(int argc, char* argv[]) {
printf("------------------------------------------------\n");
printf("RUNNING (%ix%i) X (%ix%i) = (%ix%i)", MY_M, MY_K, MY_K, MY_N, MY_M, MY_N);
#ifdef STREAM_A_B
printf(", STREAM_A_B");
#endif
if (sizeof(REALTYPE) == sizeof(double)) {
printf(", DP\n");
} else {
printf(", SP\n");
}
printf("------------------------------------------------\n");
run_test();
printf("------------------------------------------------\n");
return 0;
}
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