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/* blas/source_trmm_r.h
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*
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* Copyright (C) 2001, 2007 Brian Gough
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or (at
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* your option) any later version.
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*
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* This program is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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{
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INDEX i, j, k;
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INDEX n1, n2;
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const int nonunit = (Diag == CblasNonUnit);
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int side, uplo, trans;
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CHECK_ARGS12(TRMM,Order,Side,Uplo,TransA,Diag,M,N,alpha,A,lda,B,ldb);
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if (Order == CblasRowMajor) {
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n1 = M;
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n2 = N;
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side = Side;
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uplo = Uplo;
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trans = (TransA == CblasConjTrans) ? CblasTrans : TransA;
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} else {
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n1 = N;
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n2 = M;
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side = (Side == CblasLeft) ? CblasRight : CblasLeft;
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uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
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trans = (TransA == CblasConjTrans) ? CblasTrans : TransA;
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}
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if (side == CblasLeft && uplo == CblasUpper && trans == CblasNoTrans) {
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/* form B := alpha * TriU(A)*B */
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for (i = 0; i < n1; i++) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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if (nonunit) {
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temp = A[i * lda + i] * B[i * ldb + j];
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} else {
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temp = B[i * ldb + j];
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}
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for (k = i + 1; k < n1; k++) {
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temp += A[lda * i + k] * B[k * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasLeft && uplo == CblasUpper && trans == CblasTrans) {
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/* form B := alpha * (TriU(A))' *B */
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for (i = n1; i > 0 && i--;) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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for (k = 0; k < i; k++) {
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temp += A[lda * k + i] * B[k * ldb + j];
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}
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if (nonunit) {
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temp += A[i * lda + i] * B[i * ldb + j];
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} else {
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temp += B[i * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasLeft && uplo == CblasLower && trans == CblasNoTrans) {
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/* form B := alpha * TriL(A)*B */
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for (i = n1; i > 0 && i--;) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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for (k = 0; k < i; k++) {
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temp += A[lda * i + k] * B[k * ldb + j];
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}
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if (nonunit) {
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temp += A[i * lda + i] * B[i * ldb + j];
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} else {
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temp += B[i * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasLeft && uplo == CblasLower && trans == CblasTrans) {
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/* form B := alpha * TriL(A)' *B */
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for (i = 0; i < n1; i++) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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if (nonunit) {
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temp = A[i * lda + i] * B[i * ldb + j];
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} else {
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temp = B[i * ldb + j];
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}
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for (k = i + 1; k < n1; k++) {
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temp += A[lda * k + i] * B[k * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasRight && uplo == CblasUpper && trans == CblasNoTrans) {
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/* form B := alpha * B * TriU(A) */
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for (i = 0; i < n1; i++) {
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for (j = n2; j > 0 && j--;) {
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BASE temp = 0.0;
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for (k = 0; k < j; k++) {
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temp += A[lda * k + j] * B[i * ldb + k];
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}
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if (nonunit) {
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temp += A[j * lda + j] * B[i * ldb + j];
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} else {
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temp += B[i * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasRight && uplo == CblasUpper && trans == CblasTrans) {
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/* form B := alpha * B * (TriU(A))' */
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for (i = 0; i < n1; i++) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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if (nonunit) {
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temp = A[j * lda + j] * B[i * ldb + j];
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} else {
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temp = B[i * ldb + j];
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}
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for (k = j + 1; k < n2; k++) {
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temp += A[lda * j + k] * B[i * ldb + k];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasRight && uplo == CblasLower && trans == CblasNoTrans) {
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/* form B := alpha *B * TriL(A) */
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for (i = 0; i < n1; i++) {
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for (j = 0; j < n2; j++) {
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BASE temp = 0.0;
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if (nonunit) {
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temp = A[j * lda + j] * B[i * ldb + j];
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} else {
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temp = B[i * ldb + j];
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}
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for (k = j + 1; k < n2; k++) {
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temp += A[lda * k + j] * B[i * ldb + k];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else if (side == CblasRight && uplo == CblasLower && trans == CblasTrans) {
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/* form B := alpha * B * TriL(A)' */
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for (i = 0; i < n1; i++) {
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for (j = n2; j > 0 && j--;) {
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BASE temp = 0.0;
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for (k = 0; k < j; k++) {
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temp += A[lda * j + k] * B[i * ldb + k];
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}
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if (nonunit) {
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temp += A[j * lda + j] * B[i * ldb + j];
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} else {
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temp += B[i * ldb + j];
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}
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B[ldb * i + j] = alpha * temp;
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}
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}
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} else {
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BLAS_ERROR("unrecognized operation");
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}
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}
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