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dgemm_mine.c
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dgemm_mine.c
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const char* dgemm_desc = "My awesome dgemm.";
#ifndef BLOCK_SIZE
#define BLOCK_SIZE ((int) 512)
#endif
#include<immintrin.h>
#include<stdlib.h>
void basic_dgemm(const int lda, const int M, const int N, const int K,
const double *A, const double *B, double *C)
{
int i, j, k;
const int col_reduced_4 = M - M % 4;
const int col_reduced_16 = M - M % 16;
__m256d ymm0, ymm1, ymm2, ymm3, ymm4, ymm5, ymm6, ymm7, ymm8;
double *b = _mm_malloc(K * sizeof(double), 64);
double *c = _mm_malloc(M * sizeof(double), 64);
for (j = 0; j < N; ++j) {
const int index1 = j * lda;
for (k = 0; k < K; k++) {
b[k] = B[index1 + k];
}
for (i = 0; i < M; i++) {
c[i] = C[index1 + i];
}
for (k = 0; k < K; ++k) {
const int index2 = k * lda;
ymm0 = _mm256_broadcast_sd(&b[k]);
for (i = 0; i < col_reduced_16; i += 16) {
ymm1 = _mm256_loadu_pd(&A[index2 + i]);
ymm2 = _mm256_loadu_pd(&A[index2 + i + 4]);
ymm3 = _mm256_loadu_pd(&A[index2 + i + 8]);
ymm4 = _mm256_loadu_pd(&A[index2 + i + 12]);
ymm5 = _mm256_load_pd(&c[i]);
ymm6 = _mm256_load_pd(&c[i + 4]);
ymm7 = _mm256_load_pd(&c[i + 8]);
ymm8 = _mm256_load_pd(&c[i + 12]);
_mm256_store_pd(&c[i], _mm256_fmadd_pd(ymm1, ymm0, ymm5));
_mm256_store_pd(&c[i + 4], _mm256_fmadd_pd(ymm2, ymm0, ymm6));
_mm256_store_pd(&c[i + 8], _mm256_fmadd_pd(ymm3, ymm0, ymm7));
_mm256_store_pd(&c[i + 12], _mm256_fmadd_pd(ymm4, ymm0, ymm8));
}
for (i = col_reduced_16; i < M; i++) {
c[i] += A[index2 + i] * b[k];
}
}
for (i = 0; i < col_reduced_4; i += 4) {
_mm256_storeu_pd(&C[index1 + i], _mm256_loadu_pd(&c[i]));
}
for (i = col_reduced_4; i < M; i++) {
C[index1 + i] = c[i];
}
}
}
/*
int i,j,k,s;
double *D = (double*) malloc(M * M * sizeof(double));
for (i = 0; i < M; i++) {
for (j = 0; j < M; j++) {
D[i * M + j] = A[j * M + i];
}
}
for (i = 0; i < M; i++) {
const int col_reduced = M - M%32;
const int col_reduced_16 = M - M%16;
__m256d ymm0, ymm1, ymm2, ymm3, ymm4, ymm5, ymm6, ymm7,
ymm8, ymm9, ymm10, ymm11, ymm12, ymm13, ymm14, ymm15;
const double *x = _mm_malloc(M * sizeof(double), 64);
x = &B[i * M];
for (j = 0; j < M; j ++) {
double res = 0;
const int index = j * M;
for (k = 0; k < col_reduced; k += 32) {
ymm8 = _mm256_load_pd(&x[k]);
ymm9 = _mm256_load_pd(&x[k + 4]);
ymm10 = _mm256_load_pd(&x[k + 8]);
ymm11 = _mm256_load_pd(&x[k + 12]);
ymm12 = _mm256_load_pd(&x[k + 16]);
ymm13 = _mm256_load_pd(&x[k + 20]);
ymm14 = _mm256_load_pd(&x[k + 24]);
ymm15 = _mm256_load_pd(&x[k + 28]);
ymm0 = _mm256_loadu_pd(&D[index + k]);
ymm1 = _mm256_loadu_pd(&D[index + k + 4]);
ymm2 = _mm256_loadu_pd(&D[index + k + 8]);
ymm3 = _mm256_loadu_pd(&D[index + k + 12]);
ymm4 = _mm256_loadu_pd(&D[index + k + 16]);
ymm5 = _mm256_loadu_pd(&D[index + k + 20]);
ymm6 = _mm256_loadu_pd(&D[index + k + 24]);
ymm7 = _mm256_loadu_pd(&D[index + k + 28]);
ymm0 = _mm256_mul_pd(ymm0, ymm8 );
ymm1 = _mm256_mul_pd(ymm1, ymm9 );
ymm2 = _mm256_mul_pd(ymm2, ymm10);
ymm3 = _mm256_mul_pd(ymm3, ymm11);
ymm4 = _mm256_mul_pd(ymm4, ymm12);
ymm5 = _mm256_mul_pd(ymm5, ymm13);
ymm6 = _mm256_mul_pd(ymm6, ymm14);
ymm7 = _mm256_mul_pd(ymm7, ymm15);
ymm0 = _mm256_add_pd(ymm0, ymm1);
ymm2 = _mm256_add_pd(ymm2, ymm3);
ymm4 = _mm256_add_pd(ymm4, ymm5);
ymm6 = _mm256_add_pd(ymm6, ymm7);
ymm0 = _mm256_add_pd(ymm0, ymm2);
ymm4 = _mm256_add_pd(ymm4, ymm6);
ymm0 = _mm256_add_pd(ymm0, ymm4);
_mm256_store_pd(scratchpad, ymm0);
for (s = 0; s < 4; s++)
res += scratchpad[s];
}
for (k = col_reduced; k < col_reduced_16; k += 16) {
ymm8 = _mm256_load_pd(&x[k]);
ymm9 = _mm256_load_pd(&x[k + 4]);
ymm10 = _mm256_load_pd(&x[k + 8]);
ymm11 = _mm256_load_pd(&x[k + 12]);
ymm0 = _mm256_loadu_pd(&D[index + k]);
ymm1 = _mm256_loadu_pd(&D[index + k + 4]);
ymm2 = _mm256_loadu_pd(&D[index + k + 8]);
ymm3 = _mm256_loadu_pd(&D[index + k + 12]);
ymm0 = _mm256_mul_pd(ymm0, ymm8 );
ymm1 = _mm256_mul_pd(ymm1, ymm9 );
ymm2 = _mm256_mul_pd(ymm2, ymm10);
ymm3 = _mm256_mul_pd(ymm3, ymm11);
ymm0 = _mm256_add_pd(ymm0, ymm1);
ymm2 = _mm256_add_pd(ymm2, ymm3);
ymm0 = _mm256_add_pd(ymm0, ymm2);
_mm256_store_pd(scratchpad, ymm0);
for (s = 0; s < 4; s++)
res += scratchpad[s];
}
for (k = col_reduced_16; k < M; k++) {
res += D[index + k] * x[k];
}
C[j + i * M] = res;
}
}
*/
void do_block(const int lda,
const double *A, const double *B, double *C,
const int i, const int j, const int k)
{
const int M = (i+BLOCK_SIZE > lda? lda-i : BLOCK_SIZE);
const int N = (j+BLOCK_SIZE > lda? lda-j : BLOCK_SIZE);
const int K = (k+BLOCK_SIZE > lda? lda-k : BLOCK_SIZE);
basic_dgemm(lda, M, N, K,
A + i + k*lda, B + k + j*lda, C + i + j*lda);
}
void square_dgemm(const int M, const double *A, const double *B, double *C)
{
const int n_blocks = M / BLOCK_SIZE + (M%BLOCK_SIZE? 1 : 0);
int bi, bj, bk;
for (bi = 0; bi < n_blocks; ++bi) {
const int i = bi * BLOCK_SIZE;
for (bj = 0; bj < n_blocks; ++bj) {
const int j = bj * BLOCK_SIZE;
for (bk = 0; bk < n_blocks; ++bk) {
const int k = bk * BLOCK_SIZE;
do_block(M, A, B, C, i, j, k);
}
}
}
}
/*
void square_dgemm(const int M, const double *A, const double *B, double *C) {
double scratchpad[8];
int i,j,k,s;
double *D = (double*) malloc(M * M * sizeof(double));
for (i = 0; i < M; i++) {
for (j = 0; j < M; j++) {
D[i * M + j] = A[j * M + i];
}
}
for (i = 0; i < M; i++) {
const int col_reduced = M - M%32;
const int col_reduced_16 = M - M%16;
__m256d ymm0, ymm1, ymm2, ymm3, ymm4, ymm5, ymm6, ymm7,
ymm8, ymm9, ymm10, ymm11, ymm12, ymm13, ymm14, ymm15;
double *x;
const int index1 = i * M;
for (j = 0; j < M; j ++) {
double res = 0;
const int index2 = j * M;
for (k = 0; k < col_reduced; k += 32) {
ymm8 = _mm256_loadu_pd(&B[index1 + k]);
ymm9 = _mm256_loadu_pd(&B[index1 + k + 4]);
ymm10 = _mm256_loadu_pd(&B[index1 + k + 8]);
ymm11 = _mm256_loadu_pd(&B[index1 + k + 12]);
ymm12 = _mm256_loadu_pd(&B[index1 + k + 16]);
ymm13 = _mm256_loadu_pd(&B[index1 + k + 20]);
ymm14 = _mm256_loadu_pd(&B[index1 + k + 24]);
ymm15 = _mm256_loadu_pd(&B[index1 + k + 28]);
ymm0 = _mm256_loadu_pd(&D[index2 + k]);
ymm1 = _mm256_loadu_pd(&D[index2 + k + 4]);
ymm2 = _mm256_loadu_pd(&D[index2 + k + 8]);
ymm3 = _mm256_loadu_pd(&D[index2 + k + 12]);
ymm4 = _mm256_loadu_pd(&D[index2 + k + 16]);
ymm5 = _mm256_loadu_pd(&D[index2 + k + 20]);
ymm6 = _mm256_loadu_pd(&D[index2 + k + 24]);
ymm7 = _mm256_loadu_pd(&D[index2 + k + 28]);
ymm0 = _mm256_mul_pd(ymm0, ymm8 );
ymm1 = _mm256_mul_pd(ymm1, ymm9 );
ymm2 = _mm256_mul_pd(ymm2, ymm10);
ymm3 = _mm256_mul_pd(ymm3, ymm11);
ymm4 = _mm256_mul_pd(ymm4, ymm12);
ymm5 = _mm256_mul_pd(ymm5, ymm13);
ymm6 = _mm256_mul_pd(ymm6, ymm14);
ymm7 = _mm256_mul_pd(ymm7, ymm15);
ymm0 = _mm256_add_pd(ymm0, ymm1);
ymm2 = _mm256_add_pd(ymm2, ymm3);
ymm4 = _mm256_add_pd(ymm4, ymm5);
ymm6 = _mm256_add_pd(ymm6, ymm7);
ymm0 = _mm256_add_pd(ymm0, ymm2);
ymm4 = _mm256_add_pd(ymm4, ymm6);
ymm0 = _mm256_add_pd(ymm0, ymm4);
_mm256_storeu_pd(scratchpad, ymm0);
for (s = 0; s < 4; s++)
res += scratchpad[s];
}
for (k = col_reduced; k < col_reduced_16; k += 16) {
ymm8 = _mm256_loadu_pd(&B[index1 + k]);
ymm9 = _mm256_loadu_pd(&B[index1 + k + 4]);
ymm10 = _mm256_loadu_pd(&B[index1 + k + 8]);
ymm11 = _mm256_loadu_pd(&B[index1 + k + 12]);
ymm0 = _mm256_loadu_pd(&D[index2 + k]);
ymm1 = _mm256_loadu_pd(&D[index2 + k + 4]);
ymm2 = _mm256_loadu_pd(&D[index2 + k + 8]);
ymm3 = _mm256_loadu_pd(&D[index2 + k + 12]);
ymm0 = _mm256_mul_pd(ymm0, ymm8 );
ymm1 = _mm256_mul_pd(ymm1, ymm9 );
ymm2 = _mm256_mul_pd(ymm2, ymm10);
ymm3 = _mm256_mul_pd(ymm3, ymm11);
ymm0 = _mm256_add_pd(ymm0, ymm1);
ymm2 = _mm256_add_pd(ymm2, ymm3);
ymm0 = _mm256_add_pd(ymm0, ymm2);
_mm256_storeu_pd(scratchpad, fndef BLOCK_SIZE
#define BLOCK_SIZE ((int) 16)
#endif
ymm0);
for (s = 0; s < 4; s++)
res += scratchpad[s];
}
for (k = col_reduced_16; k < M; k++) {
res += D[index2 + k] * B[index1 + k];
}
C[j + index1] = res;
}
}
}
*/