summaryrefslogtreecommitdiff
path: root/gsl-1.9/cblas/source_trsm_c.h
diff options
context:
space:
mode:
Diffstat (limited to 'gsl-1.9/cblas/source_trsm_c.h')
-rw-r--r--gsl-1.9/cblas/source_trsm_c.h397
1 files changed, 397 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_trsm_c.h b/gsl-1.9/cblas/source_trsm_c.h
new file mode 100644
index 0000000..d618752
--- /dev/null
+++ b/gsl-1.9/cblas/source_trsm_c.h
@@ -0,0 +1,397 @@
+/* blas/source_trsm_c.h
+ *
+ * Copyright (C) 2001 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 2 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;
+
+ 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;
+ 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 * inv(TriU(A)) *B */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = n1; i > 0 && i--;) {
+ if (nonunit) {
+ const BASE Aii_real = CONST_REAL(A, lda * i + i);
+ const BASE Aii_imag = conj * CONST_IMAG(A, lda * i + i);
+ const BASE s = xhypot(Aii_real, Aii_imag);
+ const BASE a_real = Aii_real / s;
+ const BASE a_imag = Aii_imag / s;
+
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+ }
+
+ 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);
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * k + j) -= Aki_real * Bij_real - Aki_imag * Bij_imag;
+ IMAG(B, ldb * k + j) -= Aki_real * Bij_imag + Aki_imag * Bij_real;
+ }
+ }
+ }
+
+ } else if (side == CblasLeft && uplo == CblasUpper && trans == CblasTrans) {
+
+ /* form B := alpha * inv(TriU(A))' *B */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+
+ if (nonunit) {
+ const BASE Aii_real = CONST_REAL(A, lda * i + i);
+ const BASE Aii_imag = conj * CONST_IMAG(A, lda * i + i);
+ const BASE s = xhypot(Aii_real, Aii_imag);
+ const BASE a_real = Aii_real / s;
+ const BASE a_imag = Aii_imag / s;
+
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+ }
+
+ 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);
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * k + j) -= Aik_real * Bij_real - Aik_imag * Bij_imag;
+ IMAG(B, ldb * k + j) -= Aik_real * Bij_imag + Aik_imag * Bij_real;
+ }
+ }
+ }
+
+ } else if (side == CblasLeft && uplo == CblasLower && trans == CblasNoTrans) {
+
+ /* form B := alpha * inv(TriL(A))*B */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+
+ if (nonunit) {
+ const BASE Aii_real = CONST_REAL(A, lda * i + i);
+ const BASE Aii_imag = conj * CONST_IMAG(A, lda * i + i);
+ const BASE s = xhypot(Aii_real, Aii_imag);
+ const BASE a_real = Aii_real / s;
+ const BASE a_imag = Aii_imag / s;
+
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+ }
+
+ 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);
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * k + j) -= Aki_real * Bij_real - Aki_imag * Bij_imag;
+ IMAG(B, ldb * k + j) -= Aki_real * Bij_imag + Aki_imag * Bij_real;
+ }
+ }
+ }
+
+
+ } else if (side == CblasLeft && uplo == CblasLower && trans == CblasTrans) {
+
+ /* form B := alpha * TriL(A)' *B */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = n1; i > 0 && i--;) {
+ if (nonunit) {
+ const BASE Aii_real = CONST_REAL(A, lda * i + i);
+ const BASE Aii_imag = conj * CONST_IMAG(A, lda * i + i);
+ const BASE s = xhypot(Aii_real, Aii_imag);
+ const BASE a_real = Aii_real / s;
+ const BASE a_imag = Aii_imag / s;
+
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+ }
+
+ 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);
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * k + j) -= Aik_real * Bij_real - Aik_imag * Bij_imag;
+ IMAG(B, ldb * k + j) -= Aik_real * Bij_imag + Aik_imag * Bij_real;
+ }
+ }
+ }
+
+ } else if (side == CblasRight && uplo == CblasUpper && trans == CblasNoTrans) {
+
+ /* form B := alpha * B * inv(TriU(A)) */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ if (nonunit) {
+ const BASE Ajj_real = CONST_REAL(A, lda * j + j);
+ const BASE Ajj_imag = conj * CONST_IMAG(A, lda * j + j);
+ const BASE s = xhypot(Ajj_real, Ajj_imag);
+ const BASE a_real = Ajj_real / s;
+ const BASE a_imag = Ajj_imag / s;
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+
+ {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + 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);
+ REAL(B, ldb * i + k) -= Ajk_real * Bij_real - Ajk_imag * Bij_imag;
+ IMAG(B, ldb * i + k) -= Ajk_real * Bij_imag + Ajk_imag * Bij_real;
+ }
+ }
+ }
+ }
+
+ } else if (side == CblasRight && uplo == CblasUpper && trans == CblasTrans) {
+
+ /* form B := alpha * B * inv(TriU(A))' */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+ for (j = n2; j > 0 && j--;) {
+
+ if (nonunit) {
+ const BASE Ajj_real = CONST_REAL(A, lda * j + j);
+ const BASE Ajj_imag = conj * CONST_IMAG(A, lda * j + j);
+ const BASE s = xhypot(Ajj_real, Ajj_imag);
+ const BASE a_real = Ajj_real / s;
+ const BASE a_imag = Ajj_imag / s;
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+
+ {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ 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);
+ REAL(B, ldb * i + k) -= Akj_real * Bij_real - Akj_imag * Bij_imag;
+ IMAG(B, ldb * i + k) -= Akj_real * Bij_imag + Akj_imag * Bij_real;
+ }
+ }
+ }
+ }
+
+
+ } else if (side == CblasRight && uplo == CblasLower && trans == CblasNoTrans) {
+
+ /* form B := alpha * B * inv(TriL(A)) */
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+ for (j = n2; j > 0 && j--;) {
+
+ if (nonunit) {
+ const BASE Ajj_real = CONST_REAL(A, lda * j + j);
+ const BASE Ajj_imag = conj * CONST_IMAG(A, lda * j + j);
+ const BASE s = xhypot(Ajj_real, Ajj_imag);
+ const BASE a_real = Ajj_real / s;
+ const BASE a_imag = Ajj_imag / s;
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+
+ {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ 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);
+ REAL(B, ldb * i + k) -= Ajk_real * Bij_real - Ajk_imag * Bij_imag;
+ IMAG(B, ldb * i + k) -= Ajk_real * Bij_imag + Ajk_imag * Bij_real;
+ }
+ }
+ }
+ }
+
+ } else if (side == CblasRight && uplo == CblasLower && trans == CblasTrans) {
+
+ /* form B := alpha * B * inv(TriL(A))' */
+
+
+ if (!(alpha_real == 1.0 && alpha_imag == 0.0)) {
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = alpha_real * Bij_real - alpha_imag * Bij_imag;
+ IMAG(B, ldb * i + j) = alpha_real * Bij_imag + alpha_imag * Bij_real;
+ }
+ }
+ }
+
+ for (i = 0; i < n1; i++) {
+ for (j = 0; j < n2; j++) {
+ if (nonunit) {
+ const BASE Ajj_real = CONST_REAL(A, lda * j + j);
+ const BASE Ajj_imag = conj * CONST_IMAG(A, lda * j + j);
+ const BASE s = xhypot(Ajj_real, Ajj_imag);
+ const BASE a_real = Ajj_real / s;
+ const BASE a_imag = Ajj_imag / s;
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + j);
+ REAL(B, ldb * i + j) = (Bij_real * a_real + Bij_imag * a_imag) / s;
+ IMAG(B, ldb * i + j) = (Bij_imag * a_real - Bij_real * a_imag) / s;
+ }
+
+ {
+ const BASE Bij_real = REAL(B, ldb * i + j);
+ const BASE Bij_imag = IMAG(B, ldb * i + 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);
+ REAL(B, ldb * i + k) -= Akj_real * Bij_real - Akj_imag * Bij_imag;
+ IMAG(B, ldb * i + k) -= Akj_real * Bij_imag + Akj_imag * Bij_real;
+ }
+ }
+ }
+ }
+
+
+ } else {
+ BLAS_ERROR("unrecognized operation");
+ }
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-01 05:03:59 +0000