/* blas/source_symm_c.h
*
* Copyright (C) 2001, 2007 Brian Gough
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
{
INDEX i, j, k;
INDEX n1, n2;
int uplo, side;
CHECK_ARGS13(SYMM,Order,Side,Uplo,M,N,alpha,A,lda,B,ldb,beta,C,ldc);
{
const BASE alpha_real = CONST_REAL0(alpha);
const BASE alpha_imag = CONST_IMAG0(alpha);
const BASE beta_real = CONST_REAL0(beta);
const BASE beta_imag = CONST_IMAG0(beta);
if ((alpha_real == 0.0 && alpha_imag == 0.0)
&& (beta_real == 1.0 && beta_imag == 0.0))
return;
if (Order == CblasRowMajor) {
n1 = M;
n2 = N;
uplo = Uplo;
side = Side;
} else {
n1 = N;
n2 = M;
uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
side = (Side == CblasLeft) ? CblasRight : CblasLeft;
}
/* form y := beta*y */
if (beta_real == 0.0 && beta_imag == 0.0) {
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
REAL(C, ldc * i + j) = 0.0;
IMAG(C, ldc * i + j) = 0.0;
}
}
} else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Cij_real = REAL(C, ldc * i + j);
const BASE Cij_imag = IMAG(C, ldc * i + j);
REAL(C, ldc * i + j) = beta_real * Cij_real - beta_imag * Cij_imag;
IMAG(C, ldc * i + j) = beta_real * Cij_imag + beta_imag * Cij_real;
}
}
}
if (alpha_real == 0.0 && alpha_imag == 0.0)
return;
if (side == CblasLeft && uplo == CblasUpper) {
/* form C := alpha*A*B + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
{
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = CONST_IMAG(A, i * lda + i);
REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag;
IMAG(C, i * ldc + j) += temp1_real * Aii_imag + temp1_imag * Aii_real;
}
for (k = i + 1; k < n1; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
REAL(C, k * ldc + j) += Aik_real * temp1_real - Aik_imag * temp1_imag;
IMAG(C, k * ldc + j) += Aik_real * temp1_imag + Aik_imag * temp1_real;
temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasLeft && uplo == CblasLower) {
/* form C := alpha*A*B + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
for (k = 0; k < i; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
REAL(C, k * ldc + j) += Aik_real * temp1_real - Aik_imag * temp1_imag;
IMAG(C, k * ldc + j) += Aik_real * temp1_imag + Aik_imag * temp1_real;
temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
{
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = CONST_IMAG(A, i * lda + i);
REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag;
IMAG(C, i * ldc + j) += temp1_real * Aii_imag + temp1_imag * Aii_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasRight && uplo == CblasUpper) {
/* form C := alpha*B*A + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
{
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = CONST_IMAG(A, j * lda + j);
REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag;
IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + temp1_imag * Ajj_real;
}
for (k = j + 1; k < n2; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bik_real = CONST_REAL(B, ldb * i + k);
const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
temp2_real += Bik_real * Ajk_real - Bik_imag * Ajk_imag;
temp2_imag += Bik_real * Ajk_imag + Bik_imag * Ajk_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasRight && uplo == CblasLower) {
/* form C := alpha*B*A + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
for (k = 0; k < j; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bik_real = CONST_REAL(B, ldb * i + k);
const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
temp2_real += Bik_real * Ajk_real - Bik_imag * Ajk_imag;
temp2_imag += Bik_real * Ajk_imag + Bik_imag * Ajk_real;
}
{
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = CONST_IMAG(A, j * lda + j);
REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag;
IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + temp1_imag * Ajj_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
}