/* blas/source_syr2k_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;
int uplo, trans;
CHECK_ARGS13(SYR2K,Order,Uplo,Trans,N,K,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) {
uplo = Uplo;
trans = Trans;
} else {
uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
trans = (Trans == CblasNoTrans) ? CblasTrans : CblasNoTrans;
}
/* form C := beta*C */
if (beta_real == 0.0 && beta_imag == 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_real == 1.0 && beta_imag == 0.0)) {
if (uplo == CblasUpper) {
for (i = 0; i < N; i++) {
for (j = i; j < N; 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;
}
}
} else {
for (i = 0; i < N; i++) {
for (j = 0; j <= i; 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 (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 Bik_real = CONST_REAL(B, i * ldb + k);
const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bjk_real = CONST_REAL(B, j * ldb + k);
const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k);
temp_real += ((Aik_real * Bjk_real - Aik_imag * Bjk_imag)
+ (Bik_real * Ajk_real - Bik_imag * Ajk_imag));
temp_imag += ((Aik_real * Bjk_imag + Aik_imag * Bjk_real)
+ (Bik_real * Ajk_imag + Bik_imag * Ajk_real));
}
REAL(C, i * ldc + j) += alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(C, i * ldc + j) += alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (uplo == CblasUpper && trans == CblasTrans) {
for (k = 0; k < K; k++) {
for (i = 0; i < N; i++) {
BASE Aki_real = CONST_REAL(A, k * lda + i);
BASE Aki_imag = CONST_IMAG(A, k * lda + i);
BASE Bki_real = CONST_REAL(B, k * ldb + i);
BASE Bki_imag = CONST_IMAG(B, k * ldb + i);
BASE temp1_real = alpha_real * Aki_real - alpha_imag * Aki_imag;
BASE temp1_imag = alpha_real * Aki_imag + alpha_imag * Aki_real;
BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag;
BASE temp2_imag = alpha_real * Bki_imag + alpha_imag * Bki_real;
for (j = i; j < N; j++) {
BASE Akj_real = CONST_REAL(A, k * lda + j);
BASE Akj_imag = CONST_IMAG(A, k * lda + j);
BASE Bkj_real = CONST_REAL(B, k * ldb + j);
BASE Bkj_imag = CONST_IMAG(B, k * ldb + j);
REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag)
+ (temp2_real * Akj_real - temp2_imag * Akj_imag);
IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real)
+ (temp2_real * Akj_imag + temp2_imag * Akj_real);
}
}
}
} 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 Bik_real = CONST_REAL(B, i * ldb + k);
const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bjk_real = CONST_REAL(B, j * ldb + k);
const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k);
temp_real += ((Aik_real * Bjk_real - Aik_imag * Bjk_imag)
+ (Bik_real * Ajk_real - Bik_imag * Ajk_imag));
temp_imag += ((Aik_real * Bjk_imag + Aik_imag * Bjk_real)
+ (Bik_real * Ajk_imag + Bik_imag * Ajk_real));
}
REAL(C, i * ldc + j) += alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(C, i * ldc + j) += alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (uplo == CblasLower && trans == CblasTrans) {
for (k = 0; k < K; k++) {
for (i = 0; i < N; i++) {
BASE Aki_real = CONST_REAL(A, k * lda + i);
BASE Aki_imag = CONST_IMAG(A, k * lda + i);
BASE Bki_real = CONST_REAL(B, k * ldb + i);
BASE Bki_imag = CONST_IMAG(B, k * ldb + i);
BASE temp1_real = alpha_real * Aki_real - alpha_imag * Aki_imag;
BASE temp1_imag = alpha_real * Aki_imag + alpha_imag * Aki_real;
BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag;
BASE temp2_imag = alpha_real * Bki_imag + alpha_imag * Bki_real;
for (j = 0; j <= i; j++) {
BASE Akj_real = CONST_REAL(A, k * lda + j);
BASE Akj_imag = CONST_IMAG(A, k * lda + j);
BASE Bkj_real = CONST_REAL(B, k * ldb + j);
BASE Bkj_imag = CONST_IMAG(B, k * ldb + j);
REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag)
+ (temp2_real * Akj_real - temp2_imag * Akj_imag);
IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real)
+ (temp2_real * Akj_imag + temp2_imag * Akj_real);
}
}
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
}