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dgemm-blocked.c
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dgemm-blocked.c
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const char* dgemm_desc = "Simple blocked dgemm.";
#include "avxintrin-emu.h"
#include <stdlib.h>
#include <string.h>
#include <stdio.h>
#if defined(BLOCK_SIZE)
#undef BLOCK_SIZE
#endif
#define BLOCK_SIZE 1024
#define SMALL_BLOCK_1 24
#define I_BLOCK 1024
#define J_BLOCK 16
#define K_BLOCK 16
#define BLOCK_SMALL 32
#define min(a,b) (((a)<(b))?(a):(b))
//static double Ablock[SMALL_BLOCK_1*SMALL_BLOCK_1];
//static double Bblock[BLOCK_SIZE*BLOCK_SIZE];
/* This auxiliary subroutine performs a smaller dgemm operation
* C := C + A * B
* where C is M-by-N, A is M-by-K, and B is K-by-N. */
static inline void do_block (int lda, int M, int N, int K, double* A, double* B, double* C)
{
int i=0,j=0,k=0;
// double cij00,cij10,cij20,cij30;
// double cij01,cij11,cij21,cij31;
// double cij02,cij12,cij22,cij32;
// double cij03,cij13,cij23,cij33;
// __m256d Bvec00,Bvec10,Bvec20,Bvec30,Bvec01,Bvec11,Bvec21,Bvec31,Bvec02,Bvec12,Bvec22,Bvec32,Bvec03,Bvec13,Bvec23,Bvec33,Avec0,Avec1,Avec2,Avec3,Cvec0,Cvec1,Cvec2,Cvec3;
__m256d Bvec00, Bvec10, Bvec01, Bvec11, Bvec02, Bvec12, Bvec03, Bvec13,Avec0,Avec1,Avec2,Avec3,Cvec0,Cvec1,Cvec2,Cvec3;
// double* result = (double*) malloc(sizeof(double)*2);
/* For each row i of A */
for (j = 0; j < N; j+=2)
{
/* For each column j of B */
for (k=0; k < K; k+=4) {
// cij00 = C[i+j*lda];
// cij10 = C[i+1+j*lda];
// cij20 = C[i+2+j*lda];
// cij30 = C[i+3+j*lda];
// cij01 = C[i+(j+1)*lda];
// cij11 = C[i+1+(j+1)*lda];
// cij21 = C[i+2+(j+1)*lda];
// cij31 = C[i+3+(j+1)*lda];
// cij02 = C[i+(j+2)*lda];
// cij12 = C[i+1+(j+2)*lda];
// cij22 = C[i+2+(j+2)*lda];
// cij32 = C[i+3+(j+2)*lda];
// cij03 = C[i+(j+3)*lda];
// cij13 = C[i+1+(j+3)*lda];
// cij23 = C[i+2+(j+3)*lda];
// cij33 = C[i+3+(j+3)*lda];
Bvec00 = _mm256_broadcast_sd(B+k+j*lda);
Bvec10 = _mm256_broadcast_sd(B+k+(j+1)*lda);
// Bvec20 = _mm256_broadcast_sd(B+k+(j+2)*lda);
// Bvec30 = _mm256_broadcast_sd(B+k+(j+3)*lda);
Bvec01 = _mm256_broadcast_sd(B+k+1+j*lda);
Bvec11 = _mm256_broadcast_sd(B+k+1+(j+1)*lda);
// Bvec21 = _mm256_broadcast_sd(B+k+1+(j+2)*lda);
// Bvec31 = _mm256_broadcast_sd(B+k+1+(j+3)*lda);
Bvec02 = _mm256_broadcast_sd(B+k+2+j*lda);
Bvec12 = _mm256_broadcast_sd(B+k+2+(j+1)*lda);
// Bvec22 = _mm256_broadcast_sd(B+k+2+(j+2)*lda);
// Bvec32 = _mm256_broadcast_sd(B+k+2+(j+3)*lda);
Bvec03 = _mm256_broadcast_sd(B+k+3+j*lda);
Bvec13 = _mm256_broadcast_sd(B+k+3+(j+1)*lda);
// Bvec23 = _mm256_broadcast_sd(B+k+3+(j+2)*lda);
// Bvec33 = _mm256_broadcast_sd(B+k+3+(j+3)*lda);
for (i = 0; i < M; i += 4)
{
/* Compute C(i,j) */
Avec0 = _mm256_load_pd(A + i+k*lda);
Cvec0 = _mm256_load_pd(C + (i+j*lda));
Cvec0 = _mm256_add_pd(Cvec0, _mm256_mul_pd(Avec0, Bvec00));
Avec1 = _mm256_load_pd(A + i+(k+1)*lda);
Cvec0 = _mm256_add_pd(Cvec0, _mm256_mul_pd(Avec1, Bvec01));
Avec2 = _mm256_load_pd(A + i+(k+2)*lda);
Cvec0 = _mm256_add_pd(Cvec0, _mm256_mul_pd(Avec2, Bvec02));
Avec3 = _mm256_load_pd(A + i+(k+3)*lda);
Cvec0 = _mm256_add_pd(Cvec0, _mm256_mul_pd(Avec3, Bvec03));
Cvec1 = _mm256_load_pd(C + (i+(j+1)*lda));
Cvec1 = _mm256_add_pd(Cvec1, _mm256_mul_pd(Avec0, Bvec10));
Cvec1 = _mm256_add_pd(Cvec1, _mm256_mul_pd(Avec1, Bvec11));
_mm256_store_pd(C+i+j*lda, Cvec0);
Cvec1 = _mm256_add_pd(Cvec1, _mm256_mul_pd(Avec2, Bvec12));
Cvec1 = _mm256_add_pd(Cvec1, _mm256_mul_pd(Avec3, Bvec13));
// Cvec2 = _mm256_load_pd(C + (i+(j+2)*lda));
// Cvec2 = _mm256_add_pd(Cvec2, _mm256_mul_pd(Avec0, Bvec20));
// Cvec2 = _mm256_add_pd(Cvec2, _mm256_mul_pd(Avec1, Bvec21));
_mm256_store_pd(C+i+(j+1)*lda, Cvec1);
// Cvec2 = _mm256_add_pd(Cvec2, _mm256_mul_pd(Avec2, Bvec22));
// Cvec2 = _mm256_add_pd(Cvec2, _mm256_mul_pd(Avec3, Bvec23));
// Cvec3 = _mm256_load_pd(C + (i+(j+3)*lda));
// Cvec3 = _mm256_add_pd(Cvec3, _mm256_mul_pd(Avec0, Bvec30));
// Cvec3 = _mm256_add_pd(Cvec3, _mm256_mul_pd(Avec1, Bvec31));
// _mm256_store_pd(C+i+(j+2)*lda, Cvec2);
// Cvec3 = _mm256_add_pd(Cvec3, _mm256_mul_pd(Avec2, Bvec32));
// Cvec3 = _mm256_add_pd(Cvec3, _mm256_mul_pd(Avec3, Bvec33));
// _mm256_store_pd(C+i+(j+3)*lda, Cvec3);
// cij00 += A[i+k*lda] * B[k+j*lda] + A[i+(k+1)*lda] * B[k+1+j*lda] + A[i+(k+2)*lda] * B[k+2+j*lda] + A[i+(k+3)*lda] * B[k+3+j*lda];
// cij10 += A[i+1+(k)*lda] * B[k+j*lda] + A[i+1+(k+1)*lda] * B[k+1+j*lda] + A[i+1+(k+2)*lda] * B[k+2+j*lda] + A[i+1+(k+3)*lda] * B[k+3+j*lda];
// cij20 += A[i+2+(k)*lda] * B[k+j*lda] + A[i+2+(k+1)*lda] * B[k+1+j*lda] + A[i+2+(k+2)*lda] * B[k+2+j*lda] + A[i+2+(k+3)*lda] * B[k+3+j*lda];
// cij30 += A[i+3+(k)*lda] * B[k+j*lda] + A[i+3+(k+1)*lda] * B[k+1+j*lda] + A[i+3+(k+2)*lda] * B[k+2+j*lda] + A[i+3+(k+3)*lda] * B[k+3+j*lda];
// cij01 += A[i+k*lda] * B[k+(j+1)*lda] + A[i+(k+1)*lda] * B[k+1+(j+1)*lda] + A[i+(k+2)*lda] * B[k+2+(j+1)*lda] + A[i+(k+3)*lda] * B[k+3+(j+1)*lda];
// cij11 += A[i+1+(k)*lda] * B[k+(j+1)*lda] + A[i+1+(k+1)*lda] * B[k+1+(j+1)*lda] + A[i+1+(k+2)*lda] * B[k+2+(j+1)*lda] + A[i+1+(k+3)*lda] * B[k+3+(j+1)*lda];
// cij21 += A[i+2+(k)*lda] * B[k+(j+1)*lda] + A[i+2+(k+1)*lda] * B[k+1+(j+1)*lda] + A[i+2+(k+2)*lda] * B[k+2+(j+1)*lda] + A[i+2+(k+3)*lda] * B[k+3+(j+1)*lda];
// cij31 += A[i+3+(k)*lda] * B[k+(j+1)*lda] + A[i+3+(k+1)*lda] * B[k+1+(j+1)*lda] + A[i+3+(k+2)*lda] * B[k+2+(j+1)*lda] + A[i+3+(k+3)*lda] * B[k+3+(j+1)*lda];
// cij02 += A[i+k*lda] * B[k+(j+2)*lda] + A[i+(k+1)*lda] * B[k+1+(j+2)*lda] + A[i+(k+2)*lda] * B[k+2+(j+2)*lda] + A[i+(k+3)*lda] * B[k+3+(j+2)*lda];
// cij12 += A[i+1+(k)*lda] * B[k+(j+2)*lda] + A[i+1+(k+1)*lda] * B[k+1+(j+2)*lda] + A[i+1+(k+2)*lda] * B[k+2+(j+2)*lda] + A[i+1+(k+3)*lda] * B[k+3+(j+2)*lda];
// cij22 += A[i+2+(k)*lda] * B[k+(j+2)*lda] + A[i+2+(k+1)*lda] * B[k+1+(j+2)*lda] + A[i+2+(k+2)*lda] * B[k+2+(j+2)*lda] + A[i+2+(k+3)*lda] * B[k+3+(j+2)*lda];
// cij32 += A[i+3+(k)*lda] * B[k+(j+2)*lda] + A[i+3+(k+1)*lda] * B[k+1+(j+2)*lda] + A[i+3+(k+2)*lda] * B[k+2+(j+2)*lda] + A[i+3+(k+3)*lda] * B[k+3+(j+2)*lda];
// cij03 += A[i+k*lda] * B[k+(j+3)*lda] + A[i+(k+1)*lda] * B[k+1+(j+3)*lda] + A[i+(k+2)*lda] * B[k+2+(j+3)*lda] + A[i+(k+3)*lda] * B[k+3+(j+3)*lda];
// cij13 += A[i+1+(k)*lda] * B[k+(j+3)*lda] + A[i+1+(k+1)*lda] * B[k+1+(j+3)*lda] + A[i+1+(k+2)*lda] * B[k+2+(j+3)*lda] + A[i+1+(k+3)*lda] * B[k+3+(j+3)*lda];
// cij23 += A[i+2+(k)*lda] * B[k+(j+3)*lda] + A[i+2+(k+1)*lda] * B[k+1+(j+3)*lda] + A[i+2+(k+2)*lda] * B[k+2+(j+3)*lda] + A[i+2+(k+3)*lda] * B[k+3+(j+3)*lda];
// cij33 += A[i+3+(k)*lda] * B[k+(j+3)*lda] + A[i+3+(k+1)*lda] * B[k+1+(j+3)*lda] + A[i+3+(k+2)*lda] * B[k+2+(j+3)*lda] + A[i+3+(k+3)*lda] * B[k+3+(j+3)*lda];
}
// C[i+j*lda] = cij00;
// C[i+1+j*lda] = cij10;
// C[i+2+j*lda] = cij20;
// C[i+3+j*lda] = cij30;
// C[i+(j+1)*lda] = cij01;
// C[i+1+(j+1)*lda] = cij11;
// C[i+2+(j+1)*lda] = cij21;
// C[i+3+(j+1)*lda] = cij31;
// C[i+(j+2)*lda] = cij02;
// C[i+1+(j+2)*lda] = cij12;
// C[i+2+(j+2)*lda] = cij22;
// C[i+3+(j+2)*lda] = cij32;
// C[i+(j+3)*lda] = cij03;
// C[i+1+(j+3)*lda] = cij13;
// C[i+2+(j+3)*lda] = cij23;
// C[i+3+(j+3)*lda] = cij33;
}
}
// free(result);
}
static void transpose(int lda, double *A, double *Atrans) {
int j = 0;
for (int i = 0; i < lda; i++) {
for (j = 0; j < lda/4*4; j+=4) {
Atrans[j+i*lda] = A[i+j*lda];
Atrans[(j+1)+i*lda] = A[i+(j+1)*lda];
Atrans[(j+2)+i*lda] = A[i+(j+2)*lda];
Atrans[(j+3)+i*lda] = A[i+(j+3)*lda];
}
for (; j < lda; j++) {
Atrans[j+i*lda] = A[i+j*lda];
}
}
}
static inline void smallblock_dgemm (int lda, int M, int N, int K, double* A, double* B, double* C)
{
/* Accumulate block dgemms into block of C */
for (int k = 0; k < K; k += BLOCK_SMALL)
{
/* For each block-row of A */
for (int i = 0; i < M; i += BLOCK_SMALL)
{
// memcpy(Ablock, A + i + k*lda, sizeof(double)*SMALL_BLOCK_1*SMALL_BLOCK_1);
/* For each block-column of B */
for (int j = 0; j < N; j += BLOCK_SMALL)
{
/* Correct block dimensions if block "goes off edge of" the matrix */
int M1 = min (BLOCK_SMALL, M-i);
int N1 = min (BLOCK_SMALL, N-j);
int K1 = min (BLOCK_SMALL, K-k);
/* Perform individual block dgemm */
do_block(lda, M1, N1, K1, A+i+k*lda, B + k + j*lda, C + i + j*lda);
}
}
}
}
/* This routine performs a dgemm operation
* C := C + A * B
* where A, B, and C are lda-by-lda matrices stored in column-major format.
* On exit, A and B maintain their input values. */
void square_dgemm (int lda, double* A, double* B, double* C)
{
// static double *Ablock = malloc(sizeof(double)*SMALL_BLOCK_1*SMALL_BLOCK_1);
// double *Atrans = malloc(sizeof(double)*lda*lda);
// transpose(lda, A, Atrans);
int newsize = ((lda+7)/8)*8;
//printf("%d\n",newsize);
// double* restrict Aalign;
// double* restrict Balign;
// double* restrict Calign;
// posix_memalign(&Aalign, sizeof(double)*8, sizeof(double)*newsize*newsize);
// posix_memalign(&Balign, sizeof(double)*8, sizeof(double)*newsize*newsize);
// posix_memalign(&Calign, sizeof(double)*8, sizeof(double)*newsize*newsize);
double *Aalign = alloca(sizeof(double)*newsize*newsize + sizeof(double)*8);
double *Balign = alloca(sizeof(double)*newsize*newsize + sizeof(double)*8);
double *Calign = alloca(sizeof(double)*newsize*newsize + sizeof(double)*8);
for (int i = 0; i < lda; ++i)
{
memcpy(Aalign+i*newsize, A+i*lda, sizeof(double)*lda);
memcpy(Balign+i*newsize, B+i*lda, sizeof(double)*lda);
memset(Aalign+lda+i*newsize, 0.0, sizeof(double)*(newsize-lda));
memset(Balign+lda+i*newsize, 0.0, sizeof(double)*(newsize-lda));
}
for (int i = lda; i < newsize; ++i)
{
memset(Aalign+i*newsize, 0.0, sizeof(double)*newsize);
memset(Balign+i*newsize, 0.0, sizeof(double)*newsize);
}
memset(Calign, 0.0, sizeof(double)*newsize*newsize);
// for (int i = 0; i < newsize; i++) {
// for (int j = 0; j < newsize; j++) {
// if (i >= lda || j >= lda) {
// Aalign[j+i*newsize] = 0;
// Balign[j+i*newsize] = 0;
// } else {
// Aalign[j+i*newsize] = A[j+i*lda];
// Balign[j+i*newsize] = B[j+i*lda];
// }
// Calign[j+i*newsize] = 0;
// }
// }
/* For each block-column of B */
for (int j = 0; j < newsize; j += J_BLOCK)
{
/* Accumulate block dgemms into block of C */
for (int i = 0; i < newsize; i += I_BLOCK)
{
/* For each block-row of A */
for (int k = 0; k < newsize; k += K_BLOCK)
{
/* Correct block dimensions if block "goes off edge of" the matrix */
int M = min (I_BLOCK, newsize-i);
int N = min (J_BLOCK, newsize-j);
int K = min (K_BLOCK, newsize-k);
/* Perform individual block dgemm */
// smallblock_dgemm(newsize, M, N, K, A + i + k*newsize, B + k + j*newsize, C + i + j*newsize);
do_block(newsize, M, N, K, Aalign + i + k*newsize, Balign+k+j*newsize, Calign + i + j*newsize);
}
}
}
for (int i = 0; i < lda; ++i)
{
memcpy(C+i*lda, Calign+i*newsize, sizeof(double)*lda);
}
// for (int i = 0; i < lda; i++) {
// for (int j = 0; j < lda; j++) {
// C[j+i*lda] = Calign[j+i*newsize];
// }
// }
// printf("HERE IS C correct\n");
// for (int i = 0; i < lda; i++) {
// for (int j = 0; j < lda; j++) {
// printf("%+4.3f ", C[i + j*lda]);
// }
// printf("\n");
// }
// printf("HERE IS Calign\n");
// for (int i = 0; i < newsize; i++) {
// for (int j = 0; j < newsize; j++) {
// printf("%+4.3f ", Calign[i + j*newsize]);
// }
// printf("\n");
// }
// C[0] = 1976342;
// free(Aalign);
// free(Balign);
// free(Calign);
}