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451 | /*************************************************************************
*
* Project
* _____ _____ __ __ _____
* / ____| __ \| \/ | __ \
* ___ _ __ ___ _ __ | | __| |__) | \ / | |__) |
* / _ \| '_ \ / _ \ '_ \| | |_ | ___/| |\/| | ___/
*| (_) | |_) | __/ | | | |__| | | | | | | |
* \___/| .__/ \___|_| |_|\_____|_| |_| |_|_|
* | |
* |_|
*
* Copyright (C) Akiel Aries, <akiel@akiel.org>, et al.
*
* This software is licensed as described in the file LICENSE, which
* you should have received as part of this distribution. The terms
* among other details are referenced in the official documentation
* seen here : https://akielaries.github.io/openGPMP/ along with
* important files seen in this project.
*
* You may opt to use, copy, modify, merge, publish, distribute
* and/or sell copies of the Software, and permit persons to whom
* the Software is furnished to do so, under the terms of the
* LICENSE file. As this is an Open Source effort, all implementations
* must be of the same methodology.
*
*
*
* This software is distributed on an AS IS basis, WITHOUT
* WARRANTY OF ANY KIND, either express or implied.
*
************************************************************************/
/** Double precision GEneral Matrix-Matrix product */
#include <cmath>
#include <limits>
#include <openGPMP/linalg/_dgemm.hpp>
#include <stddef.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#if defined(__SSE2__)
#ifdef __cplusplus
extern "C" {
#endif
// ASM micro kernel function
/**
* @brief Performs matrix-matrix multiplication (DGEMM) using an
* assembly implementation It computes the product of matrices A and B,
* scaled by alpha and beta, and stores the result in matrix C
*
* @param A Pointer to the first matrix (A) in row-major order
* @param B Pointer to the second matrix (B) in row-major order
* @param C Pointer to the result matrix (C) in row-major order
* @param nextA Pointer to the next matrix A
* @param nextB Pointer to the next matrix B
* @param kl Value representing the remaining columns of matrix A
* @param kb Value representing the remaining rows of matrix B
* @param incRowC Increment for moving to the next row of matrix C
* @param incColC Increment for moving to the next column of matrix C
* @param alpha Scalar value to scale the product of matrices A and B
* @param beta Scalar value to scale matrix C before adding the product
*
* @note This calls an Assembly implementation depending on detected
* host system. x86 (SSE, AVX2) and ARM NEON supported
*/
extern void dgemm_kernel_asm(const double *A,
const double *B,
double *C,
const double *nextA,
const double *nextB,
long kl,
long kb,
long incRowC,
long incColC,
double alpha,
double beta);
#ifdef __cplusplus
}
#endif
#endif
void gpmp::linalg::DGEMM::dgemm_micro_kernel(long kc,
double alpha,
const double *A,
const double *B,
double beta,
double *C,
long incRowC,
long incColC,
const double *nextA,
const double *nextB) {
long kb = kc / 4;
long kl = kc % 4;
dgemm_kernel_asm(A,
B,
C,
nextA,
nextB,
kl,
kb,
incRowC,
incColC,
alpha,
beta);
}
// MATRIX BUFFERS
double gpmp::linalg::DGEMM::DGEMM_BUFF_A[BLOCK_SZ_M * BLOCK_SZ_K];
double gpmp::linalg::DGEMM::DGEMM_BUFF_B[BLOCK_SZ_K * BLOCK_SZ_N];
double gpmp::linalg::DGEMM::DGEMM_BUFF_C[BLOCK_SZ_MR * BLOCK_SZ_NR];
// pack micro panels of size BLOCK_SZ_MR rows by k columns from A without
// padding
void gpmp::linalg::DGEMM::pack_micro_A(int k,
const double *A,
int incRowA,
int incColA,
double *buffer) {
int i, j;
for (j = 0; j < k; ++j) {
for (i = 0; i < BLOCK_SZ_MR; ++i) {
buffer[i] = A[i * incRowA];
}
buffer += BLOCK_SZ_MR;
A += incColA;
}
}
// packs panels from A with padding if needed
void gpmp::linalg::DGEMM::pack_buffer_A(int mc,
int kc,
const double *A,
int incRowA,
int incColA,
double *buffer) {
int mp = mc / BLOCK_SZ_MR;
int _mr = mc % BLOCK_SZ_MR;
int i, j;<--- The scope of the variable 'j' can be reduced. [+]The scope of the variable 'j' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
for (i = 0; i < mp; ++i) {
pack_micro_A(kc, A, incRowA, incColA, buffer);
buffer += kc * BLOCK_SZ_MR;
A += BLOCK_SZ_MR * incRowA;
}
if (_mr > 0) {
for (j = 0; j < kc; ++j) {
for (i = 0; i < _mr; ++i) {
buffer[i] = A[i * incRowA];
}
for (i = _mr; i < BLOCK_SZ_MR; ++i) {
buffer[i] = 0.0;
}
buffer += BLOCK_SZ_MR;
A += incColA;
}
}
}
// packing complete panels from B of size BLOCK_SZ_NR by k columns
void gpmp::linalg::DGEMM::pack_micro_B(int k,
const double *B,
int incRowB,
int incColB,
double *buffer) {
int i, j;
for (i = 0; i < k; ++i) {
for (j = 0; j < BLOCK_SZ_NR; ++j) {
buffer[j] = B[j * incColB];
}
buffer += BLOCK_SZ_NR;
B += incRowB;
}
}
// packing panels from B with padding if needed
void gpmp::linalg::DGEMM::pack_buffer_B(int kc,
int nc,
const double *B,
int incRowB,
int incColB,
double *buffer) {
int np = nc / BLOCK_SZ_NR;
int _nr = nc % BLOCK_SZ_NR;
int i, j;<--- The scope of the variable 'i' can be reduced. [+]The scope of the variable 'i' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
for (j = 0; j < np; ++j) {
pack_micro_B(kc, B, incRowB, incColB, buffer);
buffer += kc * BLOCK_SZ_NR;
B += BLOCK_SZ_NR * incColB;
}
if (_nr > 0) {
for (i = 0; i < kc; ++i) {
for (j = 0; j < _nr; ++j) {
buffer[j] = B[j * incColB];
}
for (j = _nr; j < BLOCK_SZ_NR; ++j) {
buffer[j] = 0.0;
}
buffer += BLOCK_SZ_NR;
B += incRowB;
}
}
}
// Compute Y += alpha*X (double precision AX + Y)
void gpmp::linalg::DGEMM::dgeaxpy(int m,
int n,
double alpha,
const double *X,
int incRowX,
int incColX,
double *Y,
int incRowY,
int incColY) {
int i, j;
if (fabs(alpha - 1.0) > std::numeric_limits<double>::epsilon()) {
for (j = 0; j < n; ++j) {
for (i = 0; i < m; ++i) {
Y[i * incRowY + j * incColY] +=
alpha * X[i * incRowX + j * incColX];
}
}
}
else {
for (j = 0; j < n; ++j) {
for (i = 0; i < m; ++i) {
Y[i * incRowY + j * incColY] += X[i * incRowX + j * incColX];
}
}
}
}
// Compute X *= alpha (scale elements)
void gpmp::linalg::DGEMM::dgescal(int m,
int n,
double alpha,
double *X,
int incRowX,
int incColX) {
int i, j;
if (fabs(alpha - 0.0) > std::numeric_limits<double>::epsilon()) {
for (j = 0; j < n; ++j) {
for (i = 0; i < m; ++i) {
X[i * incRowX + j * incColX] *= alpha;
}
}
}
else {
for (j = 0; j < n; ++j) {
for (i = 0; i < m; ++i) {
X[i * incRowX + j * incColX] = 0.0;
}
}
}
}
// Macro Kernel for the multiplication of blocks of A and B. We assume that
// these blocks were previously packed to buffers DGEMM_BUFF_A and DGEMM_BUFF_B.
void gpmp::linalg::DGEMM::dgemm_macro_kernel(int mc,
int nc,
int kc,
double alpha,
double beta,
double *C,
int incRowC,
int incColC) {
int mp = (mc + BLOCK_SZ_MR - 1) / BLOCK_SZ_MR;
int np = (nc + BLOCK_SZ_NR - 1) / BLOCK_SZ_NR;
int _mr = mc % BLOCK_SZ_MR;
int _nr = nc % BLOCK_SZ_NR;
int mr, nr;
int i, j;
#if defined(__SSE__)
const double *nextA = nullptr;
const double *nextB = nullptr;
#endif
for (j = 0; j < np; ++j) {
nr = (j != np - 1 || _nr == 0) ? BLOCK_SZ_NR : _nr;
for (i = 0; i < mp; ++i) {
mr = (i != mp - 1 || _mr == 0) ? BLOCK_SZ_MR : _mr;
if (mr == BLOCK_SZ_MR && nr == BLOCK_SZ_NR) {
#if defined(__SSE__)
dgemm_micro_kernel(
kc,
alpha,
&DGEMM_BUFF_A[i * kc * BLOCK_SZ_MR],
&DGEMM_BUFF_B[j * kc * BLOCK_SZ_NR],
beta,
&C[i * BLOCK_SZ_MR * incRowC + j * BLOCK_SZ_NR * incColC],
incRowC,
incColC,
nextA,
nextB);
#else
dgemm_micro_kernel(
kc,
alpha,
&DGEMM_BUFF_A[i * kc * BLOCK_SZ_MR],
&DGEMM_BUFF_B[j * kc * BLOCK_SZ_NR],
beta,
&C[i * BLOCK_SZ_MR * incRowC + j * BLOCK_SZ_NR * incColC],
incRowC,
incColC);
#endif
}
else {
#if defined(__SSE__)
dgemm_micro_kernel(kc,
alpha,
&DGEMM_BUFF_A[i * kc * BLOCK_SZ_MR],
&DGEMM_BUFF_B[j * kc * BLOCK_SZ_NR],
0.0,
DGEMM_BUFF_C,
1,
BLOCK_SZ_MR,
nextA,
nextB);
#else
dgemm_micro_kernel(kc,
alpha,
&DGEMM_BUFF_A[i * kc * BLOCK_SZ_MR],
&DGEMM_BUFF_B[j * kc * BLOCK_SZ_NR],
0.0,
DGEMM_BUFF_C,
1,
BLOCK_SZ_MR);
#endif
dgescal(
mr,
nr,
beta,
&C[i * BLOCK_SZ_MR * incRowC + j * BLOCK_SZ_NR * incColC],
incRowC,
incColC);
dgeaxpy(
mr,
nr,
1.0,
DGEMM_BUFF_C,
1,
BLOCK_SZ_MR,
&C[i * BLOCK_SZ_MR * incRowC + j * BLOCK_SZ_NR * incColC],
incRowC,
incColC);
}
}
}
}
// Main DGEMM entrypoint, compute C <- beta*C + alpha*A*B
void gpmp::linalg::DGEMM::dgemm_nn(int m,
int n,
int k,
double alpha,
const double *A,
int incRowA,
int incColA,
const double *B,
int incRowB,
int incColB,
double beta,
double *C,
int incRowC,
int incColC) {
int mb = (m + BLOCK_SZ_M - 1) / BLOCK_SZ_M;
int nb = (n + BLOCK_SZ_N - 1) / BLOCK_SZ_N;
int kb = (k + BLOCK_SZ_K - 1) / BLOCK_SZ_K;
int _mc = m % BLOCK_SZ_M;
int _nc = n % BLOCK_SZ_N;
int _kc = k % BLOCK_SZ_K;
int mc, nc, kc;<--- The scope of the variable 'nc' can be reduced. [+]The scope of the variable 'nc' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
int i, j, l;
double _beta;
if (fabs(alpha) < std::numeric_limits<double>::epsilon() || k == 0) {
dgescal(m, n, beta, C, incRowC, incColC);
return;
}
for (j = 0; j < nb; ++j) {
nc = (j != nb - 1 || _nc == 0) ? BLOCK_SZ_N : _nc;
for (l = 0; l < kb; ++l) {
kc = (l != kb - 1 || _kc == 0) ? BLOCK_SZ_K : _kc;
_beta = (l == 0) ? beta : 1.0;
pack_buffer_B(
kc,
nc,
&B[l * BLOCK_SZ_K * incRowB + j * BLOCK_SZ_N * incColB],
incRowB,
incColB,
DGEMM_BUFF_B);
for (i = 0; i < mb; ++i) {
mc = (i != mb - 1 || _mc == 0) ? BLOCK_SZ_M : _mc;
pack_buffer_A(
mc,
kc,
&A[i * BLOCK_SZ_M * incRowA + l * BLOCK_SZ_K * incColA],
incRowA,
incColA,
DGEMM_BUFF_A);
dgemm_macro_kernel(
mc,
nc,
kc,
alpha,
_beta,
&C[i * BLOCK_SZ_M * incRowC + j * BLOCK_SZ_N * incColC],
incRowC,
incColC);
}
}
}
}
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