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Copy pathfma128_noncblas_sgemm.cpp
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fma128_noncblas_sgemm.cpp
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#include <string.h>
#include <immintrin.h>
enum {
SIMD_FACTOR = 4,
COLS_PER_LOOP = 5,
COLS_STEPS_PER_CORE = 3,
SIMD_ELEM_PEC_COL = COLS_PER_LOOP*COLS_STEPS_PER_CORE,
bb_nCols = SIMD_ELEM_PEC_COL*SIMD_FACTOR,
bb_nRows = 57,
cc_nRows = 32,
};
struct noncblas_sgemm_prm_t {
int M;
int lda;
int ldc;
float alpha;
__m128 bb[SIMD_ELEM_PEC_COL*bb_nRows];
__m128 cc[cc_nRows*SIMD_ELEM_PEC_COL];
};
static void fma128_noncblas_sgemm_core(
const noncblas_sgemm_prm_t* pPrm,
const float *A,
float *C)
{
int lda = pPrm->lda;
int ldc = pPrm->ldc;
int m;
for (m = 0; m < pPrm->M-1; A += lda*2, C += ldc*2, m += 2) {
float* Crow0 = C;
float* Crow1 = C+ldc;
for (int n = 0; n < SIMD_ELEM_PEC_COL; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 a0 = _mm_broadcast_ss(&A[0]);
__m128 a1 = _mm_broadcast_ss(&A[lda]);
__m128 b;
b = Bcol[0];
__m128 acc00 = _mm_mul_ps(a0, b);
__m128 acc01 = _mm_mul_ps(a1, b);
b = Bcol[1];
__m128 acc10 = _mm_mul_ps(a0, b);
__m128 acc11 = _mm_mul_ps(a1, b);
b = Bcol[2];
__m128 acc20 = _mm_mul_ps(a0, b);
__m128 acc21 = _mm_mul_ps(a1, b);
b = Bcol[3];
__m128 acc30 = _mm_mul_ps(a0, b);
__m128 acc31 = _mm_mul_ps(a1, b);
b = Bcol[4];
__m128 acc40 = _mm_mul_ps(a0, b);
__m128 acc41 = _mm_mul_ps(a1, b);
for (int k = 1; k < bb_nRows; k += 2) {
Bcol += SIMD_ELEM_PEC_COL;
a0 = _mm_broadcast_ss(&A[k]);
a1 = _mm_broadcast_ss(&A[k+lda]);
b = Bcol[0];
acc00 = _mm_fmadd_ps(a0, b, acc00);
acc01 = _mm_fmadd_ps(a1, b, acc01);
b = Bcol[1];
acc10 = _mm_fmadd_ps(a0, b, acc10);
acc11 = _mm_fmadd_ps(a1, b, acc11);
b = Bcol[2];
acc20 = _mm_fmadd_ps(a0, b, acc20);
acc21 = _mm_fmadd_ps(a1, b, acc21);
b = Bcol[3];
acc30 = _mm_fmadd_ps(a0, b, acc30);
acc31 = _mm_fmadd_ps(a1, b, acc31);
b = Bcol[4];
acc40 = _mm_fmadd_ps(a0, b, acc40);
acc41 = _mm_fmadd_ps(a1, b, acc41);
Bcol += SIMD_ELEM_PEC_COL;
a0 = _mm_broadcast_ss(&A[k+1]);
a1 = _mm_broadcast_ss(&A[k+lda+1]);
b = Bcol[0];
acc00 = _mm_fmadd_ps(a0, b, acc00);
acc01 = _mm_fmadd_ps(a1, b, acc01);
b = Bcol[1];
acc10 = _mm_fmadd_ps(a0, b, acc10);
acc11 = _mm_fmadd_ps(a1, b, acc11);
b = Bcol[2];
acc20 = _mm_fmadd_ps(a0, b, acc20);
acc21 = _mm_fmadd_ps(a1, b, acc21);
b = Bcol[3];
acc30 = _mm_fmadd_ps(a0, b, acc30);
acc31 = _mm_fmadd_ps(a1, b, acc31);
b = Bcol[4];
acc40 = _mm_fmadd_ps(a0, b, acc40);
acc41 = _mm_fmadd_ps(a1, b, acc41);
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
_mm_storeu_ps(&Crow0[SIMD_FACTOR*0], _mm_fmadd_ps(acc00, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*1], _mm_fmadd_ps(acc10, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*2], _mm_fmadd_ps(acc20, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*3], _mm_fmadd_ps(acc30, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*4], _mm_fmadd_ps(acc40, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*4])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*0], _mm_fmadd_ps(acc01, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*1], _mm_fmadd_ps(acc11, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*2], _mm_fmadd_ps(acc21, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*3], _mm_fmadd_ps(acc31, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*4], _mm_fmadd_ps(acc41, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*4])));
Crow0 += COLS_PER_LOOP*SIMD_FACTOR;
Crow1 += COLS_PER_LOOP*SIMD_FACTOR;
}
}
if (m < pPrm->M) {
float* Crow0 = C;
for (int n = 0; n < SIMD_ELEM_PEC_COL; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 acc00 = _mm_setzero_ps();
__m128 acc10 = _mm_setzero_ps();
__m128 acc20 = _mm_setzero_ps();
__m128 acc30 = _mm_setzero_ps();
__m128 acc40 = _mm_setzero_ps();
for (int k = 0; k < bb_nRows; ++k) {
__m128 a0 = _mm_broadcast_ss(&A[k]);
__m128 b;
b = Bcol[0];
acc00 = _mm_add_ps(acc00, _mm_mul_ps(a0, b));
b = Bcol[1];
acc10 = _mm_add_ps(acc10, _mm_mul_ps(a0, b));
b = Bcol[2];
acc20 = _mm_add_ps(acc20, _mm_mul_ps(a0, b));
b = Bcol[3];
acc30 = _mm_add_ps(acc30, _mm_mul_ps(a0, b));
b = Bcol[4];
acc40 = _mm_add_ps(acc40, _mm_mul_ps(a0, b));
Bcol += SIMD_ELEM_PEC_COL;
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
_mm_storeu_ps(&Crow0[SIMD_FACTOR*0], _mm_fmadd_ps(acc00, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*1], _mm_fmadd_ps(acc10, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*2], _mm_fmadd_ps(acc20, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*3], _mm_fmadd_ps(acc30, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*4], _mm_fmadd_ps(acc40, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*4])));
Crow0 += COLS_PER_LOOP*SIMD_FACTOR;
}
}
}
static void fma128_noncblas_sgemm_core_bottomRows(
const noncblas_sgemm_prm_t* pPrm,
const float *A,
float *C,
int nRows)
{
int lda = pPrm->lda;
int ldc = pPrm->ldc;
int m;
for (m = 0; m < pPrm->M-1; A += lda*2, C += ldc*2, m += 2) {
float* Crow0 = C;
float* Crow1 = C+ldc;
for (int n = 0; n < SIMD_ELEM_PEC_COL; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 acc00 = _mm_setzero_ps();
__m128 acc01 = _mm_setzero_ps();
__m128 acc10 = _mm_setzero_ps();
__m128 acc11 = _mm_setzero_ps();
__m128 acc20 = _mm_setzero_ps();
__m128 acc21 = _mm_setzero_ps();
__m128 acc30 = _mm_setzero_ps();
__m128 acc31 = _mm_setzero_ps();
__m128 acc40 = _mm_setzero_ps();
__m128 acc41 = _mm_setzero_ps();
for (int k = 0; k < nRows; ++k) {
__m128 a0 = _mm_broadcast_ss(&A[k]);
__m128 a1 = _mm_broadcast_ss(&A[k+lda]);
__m128 b;
b = Bcol[0];
acc00 = _mm_fmadd_ps(a0, b, acc00);
acc01 = _mm_fmadd_ps(a1, b, acc01);
b = Bcol[1];
acc10 = _mm_fmadd_ps(a0, b, acc10);
acc11 = _mm_fmadd_ps(a1, b, acc11);
b = Bcol[2];
acc20 = _mm_fmadd_ps(a0, b, acc20);
acc21 = _mm_fmadd_ps(a1, b, acc21);
b = Bcol[3];
acc30 = _mm_fmadd_ps(a0, b, acc30);
acc31 = _mm_fmadd_ps(a1, b, acc31);
b = Bcol[4];
acc40 = _mm_fmadd_ps(a0, b, acc40);
acc41 = _mm_fmadd_ps(a1, b, acc41);
Bcol += SIMD_ELEM_PEC_COL;
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
_mm_storeu_ps(&Crow0[SIMD_FACTOR*0], _mm_fmadd_ps(acc00, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*1], _mm_fmadd_ps(acc10, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*2], _mm_fmadd_ps(acc20, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*3], _mm_fmadd_ps(acc30, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*4], _mm_fmadd_ps(acc40, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*4])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*0], _mm_fmadd_ps(acc01, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*1], _mm_fmadd_ps(acc11, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*2], _mm_fmadd_ps(acc21, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*3], _mm_fmadd_ps(acc31, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow1[SIMD_FACTOR*4], _mm_fmadd_ps(acc41, alpha_ps, _mm_loadu_ps(&Crow1[SIMD_FACTOR*4])));
Crow0 += COLS_PER_LOOP*SIMD_FACTOR;
Crow1 += COLS_PER_LOOP*SIMD_FACTOR;
}
}
if (m < pPrm->M) {
float* Crow0 = C;
for (int n = 0; n < SIMD_ELEM_PEC_COL; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 acc00 = _mm_setzero_ps();
__m128 acc10 = _mm_setzero_ps();
__m128 acc20 = _mm_setzero_ps();
__m128 acc30 = _mm_setzero_ps();
__m128 acc40 = _mm_setzero_ps();
for (int k = 0; k < nRows; ++k) {
__m128 a0 = _mm_broadcast_ss(&A[k]);
__m128 b;
b = Bcol[0];
acc00 = _mm_add_ps(acc00, _mm_mul_ps(a0, b));
b = Bcol[1];
acc10 = _mm_add_ps(acc10, _mm_mul_ps(a0, b));
b = Bcol[2];
acc20 = _mm_add_ps(acc20, _mm_mul_ps(a0, b));
b = Bcol[3];
acc30 = _mm_add_ps(acc30, _mm_mul_ps(a0, b));
b = Bcol[4];
acc40 = _mm_add_ps(acc40, _mm_mul_ps(a0, b));
Bcol += SIMD_ELEM_PEC_COL;
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
_mm_storeu_ps(&Crow0[SIMD_FACTOR*0], _mm_fmadd_ps(acc00, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*0])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*1], _mm_fmadd_ps(acc10, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*1])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*2], _mm_fmadd_ps(acc20, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*2])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*3], _mm_fmadd_ps(acc30, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*3])));
_mm_storeu_ps(&Crow0[SIMD_FACTOR*4], _mm_fmadd_ps(acc40, alpha_ps, _mm_loadu_ps(&Crow0[SIMD_FACTOR*4])));
Crow0 += COLS_PER_LOOP*SIMD_FACTOR;
}
}
}
static void fma128_noncblas_sgemm_core_rightmostColumns(
noncblas_sgemm_prm_t* pPrm,
const float *A,
float *C,
int nCols, // 0 < nCols < bb_nCols
int nRows) // nRows <= bb_nRows
{
int lda = pPrm->lda;
int ldc = pPrm->ldc;
int ldcc = ((nCols-1)/(COLS_PER_LOOP*SIMD_FACTOR) + 1)*COLS_PER_LOOP;
for (int m0 = 0; m0 < pPrm->M; m0 += cc_nRows) {
int mLast = m0 + cc_nRows <= pPrm->M ? m0 + cc_nRows : pPrm->M;
// calculate partial results and store in cc
__m128* pCc = pPrm->cc;
int mLastEv = mLast & (-2);
for (int m = m0; m < mLastEv; A += lda*2, m += 2) {
for (int n = 0; n < ldcc; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 acc00 = _mm_setzero_ps();
__m128 acc01 = _mm_setzero_ps();
__m128 acc10 = _mm_setzero_ps();
__m128 acc11 = _mm_setzero_ps();
__m128 acc20 = _mm_setzero_ps();
__m128 acc21 = _mm_setzero_ps();
__m128 acc30 = _mm_setzero_ps();
__m128 acc31 = _mm_setzero_ps();
__m128 acc40 = _mm_setzero_ps();
__m128 acc41 = _mm_setzero_ps();
for (int k = 0; k < nRows; ++k) {
__m128 a0 = _mm_broadcast_ss(&A[k]);
__m128 a1 = _mm_broadcast_ss(&A[k + lda]);
__m128 b;
b = Bcol[0];
acc00 = _mm_fmadd_ps(a0, b, acc00);
acc01 = _mm_fmadd_ps(a1, b, acc01);
b = Bcol[1];
acc10 = _mm_fmadd_ps(a0, b, acc10);
acc11 = _mm_fmadd_ps(a1, b, acc11);
b = Bcol[2];
acc20 = _mm_fmadd_ps(a0, b, acc20);
acc21 = _mm_fmadd_ps(a1, b, acc21);
b = Bcol[3];
acc30 = _mm_fmadd_ps(a0, b, acc30);
acc31 = _mm_fmadd_ps(a1, b, acc31);
b = Bcol[4];
acc40 = _mm_fmadd_ps(a0, b, acc40);
acc41 = _mm_fmadd_ps(a1, b, acc41);
Bcol += SIMD_ELEM_PEC_COL;
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
pCc[0] = _mm_mul_ps(acc00, alpha_ps);
pCc[1] = _mm_mul_ps(acc10, alpha_ps);
pCc[2] = _mm_mul_ps(acc20, alpha_ps);
pCc[3] = _mm_mul_ps(acc30, alpha_ps);
pCc[4] = _mm_mul_ps(acc40, alpha_ps);
pCc[ldcc+0] = _mm_mul_ps(acc01, alpha_ps);
pCc[ldcc+1] = _mm_mul_ps(acc11, alpha_ps);
pCc[ldcc+2] = _mm_mul_ps(acc21, alpha_ps);
pCc[ldcc+3] = _mm_mul_ps(acc31, alpha_ps);
pCc[ldcc+4] = _mm_mul_ps(acc41, alpha_ps);
pCc += COLS_PER_LOOP;
}
pCc += ldcc;
}
if ((mLast & 1) != 0) {
// last row of A
for (int n = 0; n < ldcc; n += COLS_PER_LOOP) {
const __m128 *Bcol = &pPrm->bb[n];
__m128 acc00 = _mm_setzero_ps();
__m128 acc10 = _mm_setzero_ps();
__m128 acc20 = _mm_setzero_ps();
__m128 acc30 = _mm_setzero_ps();
__m128 acc40 = _mm_setzero_ps();
for (int k = 0; k < nRows; ++k) {
__m128 a0 = _mm_broadcast_ss(&A[k]);
__m128 b;
b = Bcol[0];
acc00 = _mm_fmadd_ps(a0, b, acc00);
b = Bcol[1];
acc10 = _mm_fmadd_ps(a0, b, acc10);
b = Bcol[2];
acc20 = _mm_fmadd_ps(a0, b, acc20);
b = Bcol[3];
acc30 = _mm_fmadd_ps(a0, b, acc30);
b = Bcol[4];
acc40 = _mm_fmadd_ps(a0, b, acc40);
Bcol += SIMD_ELEM_PEC_COL;
}
__m128 alpha_ps = _mm_broadcast_ss(&pPrm->alpha);
pCc[0] = _mm_mul_ps(acc00, alpha_ps);
pCc[1] = _mm_mul_ps(acc10, alpha_ps);
pCc[2] = _mm_mul_ps(acc20, alpha_ps);
pCc[3] = _mm_mul_ps(acc30, alpha_ps);
pCc[4] = _mm_mul_ps(acc40, alpha_ps);
pCc += COLS_PER_LOOP;
}
}
// add partial result in cc to C
pCc = pPrm->cc;
for (int m = 0; m < mLast-m0; C += ldc, pCc += ldcc, ++m) {
const float* res = (const float*)pCc;
for (int n = 0; n < nCols; ++n)
C[n] += res[n];
}
}
}
static void fma128_noncblas_sgemm_multC(
int M, int N,
float beta,
float *C, int ldc)
{
if (beta != 0) {
for (int m = 0; m < M; ++m) {
for (int n = 0; n < N; ++n)
C[n] *= beta;
C += ldc;
}
} else {
for (int m = 0; m < M; ++m) {
for (int n = 0; n < N; ++n)
C[n] = 0;
C += ldc;
}
}
}
void fma128_noncblas_sgemm(
int M, int N, int K,
float alpha,
const float *A, int lda,
const float *B, int ldb,
float beta,
float *C, int ldc)
{
fma128_noncblas_sgemm_multC(M, N, beta, C, ldc);
noncblas_sgemm_prm_t prm;
prm.M = M;
prm.lda = lda;
prm.ldc = ldc;
prm.alpha = alpha;
int n_Rsteps = K / bb_nRows;
int n_Csteps = N / bb_nCols;
int row = 0;
for (int ri = 0; ri < n_Rsteps; ++ri) {
int col = 0;
for (int ci = 0; ci < n_Csteps; ++ci) {
// process full rectangles
const float* bSrc = &B[row*ldb + col];
for (int i = 0; i < bb_nRows; ++i) {
memcpy(&prm.bb[SIMD_ELEM_PEC_COL*i], bSrc, bb_nCols*sizeof(*B));
bSrc += ldb;
}
fma128_noncblas_sgemm_core(&prm, &A[row], &C[col]);
col += bb_nCols;
}
if (col < N) {
// process rightmost rectangle of the full-height band
const float* bSrc = &B[row*ldb + col];
for (int i = 0; i < bb_nRows; ++i) {
memcpy(&prm.bb[SIMD_ELEM_PEC_COL*i], bSrc, (N-col)*sizeof(*B));
bSrc += ldb;
}
fma128_noncblas_sgemm_core_rightmostColumns(&prm, &A[row], &C[col], N-col, bb_nRows);
}
row += bb_nRows;
}
if (row < K) {
// bottom band
int col = 0;
for (int ci = 0; ci < n_Csteps; ++ci) {
// process full-width rectangles
const float* bSrc = &B[row*ldb + col];
for (int i = 0; i < K-row; ++i) {
memcpy(&prm.bb[SIMD_ELEM_PEC_COL*i], bSrc, bb_nCols*sizeof(*B));
bSrc += ldb;
}
fma128_noncblas_sgemm_core_bottomRows(&prm, &A[row], &C[col], K-row);
col += bb_nCols;
}
if (col < N) {
// process bottom-right corner rectangle
const float* bSrc = &B[row*ldb + col];
for (int i = 0; i < K-row; ++i) {
memcpy(&prm.bb[SIMD_ELEM_PEC_COL*i], bSrc, (N-col)*sizeof(*B));
bSrc += ldb;
}
fma128_noncblas_sgemm_core_rightmostColumns(&prm, &A[row], &C[col], N-col, K-row);
}
}
}