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/* blas/source_herk.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;
int uplo, trans;
CHECK_ARGS11(HERK,Order,Uplo,Trans,N,K,alpha,A,lda,beta,C,ldc);
if (beta == 1.0 && (alpha == 0.0 || K == 0))
return;
if (Order == CblasRowMajor) {
uplo = Uplo;
trans = Trans;
} else {
uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
trans = (Trans == CblasNoTrans) ? CblasConjTrans : CblasNoTrans;
}
/* form y := beta*y */
if (beta == 0.0) {
if (uplo == CblasUpper) {
for (i = 0; i < N; i++) {
for (j = i; j < N; j++) {
REAL(C, ldc * i + j) = 0.0;
IMAG(C, ldc * i + j) = 0.0;
}
}
} else {
for (i = 0; i < N; i++) {
for (j = 0; j <= i; j++) {
REAL(C, ldc * i + j) = 0.0;
IMAG(C, ldc * i + j) = 0.0;
}
}
}
} else if (beta != 1.0) {
if (uplo == CblasUpper) {
for (i = 0; i < N; i++) {
REAL(C, ldc * i + i) *= beta;
IMAG(C, ldc * i + i) = 0;
for (j = i + 1; j < N; j++) {
REAL(C, ldc * i + j) *= beta;
IMAG(C, ldc * i + j) *= beta;
}
}
} else {
for (i = 0; i < N; i++) {
for (j = 0; j < i; j++) {
REAL(C, ldc * i + j) *= beta;
IMAG(C, ldc * i + j) *= beta;
}
REAL(C, ldc * i + i) *= beta;
IMAG(C, ldc * i + i) = 0;
}
}
} else {
/* set imaginary part of Aii to zero */
for (i = 0; i < N; i++) {
IMAG(C, ldc * i + i) = 0.0;
}
}
if (alpha == 0.0)
return;
if (uplo == CblasUpper && trans == CblasNoTrans) {
for (i = 0; i < N; i++) {
for (j = i; j < N; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < K; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = -CONST_IMAG(A, j * lda + k);
temp_real += Aik_real * Ajk_real - Aik_imag * Ajk_imag;
temp_imag += Aik_real * Ajk_imag + Aik_imag * Ajk_real;
}
REAL(C, i * ldc + j) += alpha * temp_real;
IMAG(C, i * ldc + j) += alpha * temp_imag;
}
}
} else if (uplo == CblasUpper && trans == CblasConjTrans) {
for (i = 0; i < N; i++) {
for (j = i; j < N; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < K; k++) {
const BASE Aki_real = CONST_REAL(A, k * lda + i);
const BASE Aki_imag = -CONST_IMAG(A, k * lda + i);
const BASE Akj_real = CONST_REAL(A, k * lda + j);
const BASE Akj_imag = CONST_IMAG(A, k * lda + j);
temp_real += Aki_real * Akj_real - Aki_imag * Akj_imag;
temp_imag += Aki_real * Akj_imag + Aki_imag * Akj_real;
}
REAL(C, i * ldc + j) += alpha * temp_real;
IMAG(C, i * ldc + j) += alpha * temp_imag;
}
}
} else if (uplo == CblasLower && trans == CblasNoTrans) {
for (i = 0; i < N; i++) {
for (j = 0; j <= i; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < K; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = -CONST_IMAG(A, j * lda + k);
temp_real += Aik_real * Ajk_real - Aik_imag * Ajk_imag;
temp_imag += Aik_real * Ajk_imag + Aik_imag * Ajk_real;
}
REAL(C, i * ldc + j) += alpha * temp_real;
IMAG(C, i * ldc + j) += alpha * temp_imag;
}
}
} else if (uplo == CblasLower && trans == CblasConjTrans) {
for (i = 0; i < N; i++) {
for (j = 0; j <= i; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < K; k++) {
const BASE Aki_real = CONST_REAL(A, k * lda + i);
const BASE Aki_imag = -CONST_IMAG(A, k * lda + i);
const BASE Akj_real = CONST_REAL(A, k * lda + j);
const BASE Akj_imag = CONST_IMAG(A, k * lda + j);
temp_real += Aki_real * Akj_real - Aki_imag * Akj_imag;
temp_imag += Aki_real * Akj_imag + Aki_imag * Akj_real;
}
REAL(C, i * ldc + j) += alpha * temp_real;
IMAG(C, i * ldc + j) += alpha * temp_imag;
}
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
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