/* blas/source_trmm_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;
const int nonunit = (Diag == CblasNonUnit);
const int conj = (TransA == CblasConjTrans) ? -1 : 1;
int side, uplo, trans;
CHECK_ARGS12(TRMM,Order,Side,Uplo,TransA,Diag,M,N,alpha,A,lda,B,ldb);
{
const BASE alpha_real = CONST_REAL0(alpha);
const BASE alpha_imag = CONST_IMAG0(alpha);
if (Order == CblasRowMajor) {
n1 = M;
n2 = N;
side = Side;
uplo = Uplo;
trans = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans;
} else {
n1 = N;
n2 = M;
side = (Side == CblasLeft) ? CblasRight : CblasLeft; /* exchanged */
uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper; /* exchanged */
trans = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans; /* same */
}
if (side == CblasLeft && uplo == CblasUpper && trans == CblasNoTrans) {
/* form B := alpha * TriU(A)*B */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
if (nonunit) {
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real = Aii_real * Bij_real - Aii_imag * Bij_imag;
temp_imag = Aii_real * Bij_imag + Aii_imag * Bij_real;
} else {
temp_real = REAL(B, i * ldb + j);
temp_imag = IMAG(B, i * ldb + j);
}
for (k = i + 1; k < n1; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = conj * CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = REAL(B, k * ldb + j);
const BASE Bkj_imag = IMAG(B, k * ldb + j);
temp_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasLeft && uplo == CblasUpper && trans == CblasTrans) {
/* form B := alpha * (TriU(A))' *B */
for (i = n1; i > 0 && i--;) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < i; k++) {
const BASE Aki_real = CONST_REAL(A, k * lda + i);
const BASE Aki_imag = conj * CONST_IMAG(A, k * lda + i);
const BASE Bkj_real = REAL(B, k * ldb + j);
const BASE Bkj_imag = IMAG(B, k * ldb + j);
temp_real += Aki_real * Bkj_real - Aki_imag * Bkj_imag;
temp_imag += Aki_real * Bkj_imag + Aki_imag * Bkj_real;
}
if (nonunit) {
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real += Aii_real * Bij_real - Aii_imag * Bij_imag;
temp_imag += Aii_real * Bij_imag + Aii_imag * Bij_real;
} else {
temp_real += REAL(B, i * ldb + j);
temp_imag += IMAG(B, i * ldb + j);
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasLeft && uplo == CblasLower && trans == CblasNoTrans) {
/* form B := alpha * TriL(A)*B */
for (i = n1; i > 0 && i--;) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < i; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = conj * CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = REAL(B, k * ldb + j);
const BASE Bkj_imag = IMAG(B, k * ldb + j);
temp_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
if (nonunit) {
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real += Aii_real * Bij_real - Aii_imag * Bij_imag;
temp_imag += Aii_real * Bij_imag + Aii_imag * Bij_real;
} else {
temp_real += REAL(B, i * ldb + j);
temp_imag += IMAG(B, i * ldb + j);
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasLeft && uplo == CblasLower && trans == CblasTrans) {
/* form B := alpha * TriL(A)' *B */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
if (nonunit) {
const BASE Aii_real = CONST_REAL(A, i * lda + i);
const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real = Aii_real * Bij_real - Aii_imag * Bij_imag;
temp_imag = Aii_real * Bij_imag + Aii_imag * Bij_real;
} else {
temp_real = REAL(B, i * ldb + j);
temp_imag = IMAG(B, i * ldb + j);
}
for (k = i + 1; k < n1; k++) {
const BASE Aki_real = CONST_REAL(A, k * lda + i);
const BASE Aki_imag = conj * CONST_IMAG(A, k * lda + i);
const BASE Bkj_real = REAL(B, k * ldb + j);
const BASE Bkj_imag = IMAG(B, k * ldb + j);
temp_real += Aki_real * Bkj_real - Aki_imag * Bkj_imag;
temp_imag += Aki_real * Bkj_imag + Aki_imag * Bkj_real;
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasRight && uplo == CblasUpper && trans == CblasNoTrans) {
/* form B := alpha * B * TriU(A) */
for (i = 0; i < n1; i++) {
for (j = n2; j > 0 && j--;) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < j; k++) {
const BASE Akj_real = CONST_REAL(A, k * lda + j);
const BASE Akj_imag = conj * CONST_IMAG(A, k * lda + j);
const BASE Bik_real = REAL(B, i * ldb + k);
const BASE Bik_imag = IMAG(B, i * ldb + k);
temp_real += Akj_real * Bik_real - Akj_imag * Bik_imag;
temp_imag += Akj_real * Bik_imag + Akj_imag * Bik_real;
}
if (nonunit) {
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real += Ajj_real * Bij_real - Ajj_imag * Bij_imag;
temp_imag += Ajj_real * Bij_imag + Ajj_imag * Bij_real;
} else {
temp_real += REAL(B, i * ldb + j);
temp_imag += IMAG(B, i * ldb + j);
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasRight && uplo == CblasUpper && trans == CblasTrans) {
/* form B := alpha * B * (TriU(A))' */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
if (nonunit) {
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real = Ajj_real * Bij_real - Ajj_imag * Bij_imag;
temp_imag = Ajj_real * Bij_imag + Ajj_imag * Bij_real;
} else {
temp_real = REAL(B, i * ldb + j);
temp_imag = IMAG(B, i * ldb + j);
}
for (k = j + 1; k < n2; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = conj * CONST_IMAG(A, j * lda + k);
const BASE Bik_real = REAL(B, i * ldb + k);
const BASE Bik_imag = IMAG(B, i * ldb + k);
temp_real += Ajk_real * Bik_real - Ajk_imag * Bik_imag;
temp_imag += Ajk_real * Bik_imag + Ajk_imag * Bik_real;
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasRight && uplo == CblasLower && trans == CblasNoTrans) {
/* form B := alpha *B * TriL(A) */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
if (nonunit) {
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real = Ajj_real * Bij_real - Ajj_imag * Bij_imag;
temp_imag = Ajj_real * Bij_imag + Ajj_imag * Bij_real;
} else {
temp_real = REAL(B, i * ldb + j);
temp_imag = IMAG(B, i * ldb + j);
}
for (k = j + 1; k < n2; k++) {
const BASE Akj_real = CONST_REAL(A, k * lda + j);
const BASE Akj_imag = conj * CONST_IMAG(A, k * lda + j);
const BASE Bik_real = REAL(B, i * ldb + k);
const BASE Bik_imag = IMAG(B, i * ldb + k);
temp_real += Akj_real * Bik_real - Akj_imag * Bik_imag;
temp_imag += Akj_real * Bik_imag + Akj_imag * Bik_real;
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else if (side == CblasRight && uplo == CblasLower && trans == CblasTrans) {
/* form B := alpha * B * TriL(A)' */
for (i = 0; i < n1; i++) {
for (j = n2; j > 0 && j--;) {
BASE temp_real = 0.0;
BASE temp_imag = 0.0;
for (k = 0; k < j; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = conj * CONST_IMAG(A, j * lda + k);
const BASE Bik_real = REAL(B, i * ldb + k);
const BASE Bik_imag = IMAG(B, i * ldb + k);
temp_real += Ajk_real * Bik_real - Ajk_imag * Bik_imag;
temp_imag += Ajk_real * Bik_imag + Ajk_imag * Bik_real;
}
if (nonunit) {
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);
const BASE Bij_real = REAL(B, i * ldb + j);
const BASE Bij_imag = IMAG(B, i * ldb + j);
temp_real += Ajj_real * Bij_real - Ajj_imag * Bij_imag;
temp_imag += Ajj_real * Bij_imag + Ajj_imag * Bij_real;
} else {
temp_real += REAL(B, i * ldb + j);
temp_imag += IMAG(B, i * ldb + j);
}
REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;
IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;
}
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
}