diff options
Diffstat (limited to 'gsl-1.9/cblas/source_trsm_r.h')
-rw-r--r-- | gsl-1.9/cblas/source_trsm_r.h | 275 |
1 files changed, 275 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_trsm_r.h b/gsl-1.9/cblas/source_trsm_r.h new file mode 100644 index 0000000..5cb8955 --- /dev/null +++ b/gsl-1.9/cblas/source_trsm_r.h @@ -0,0 +1,275 @@ +/* blas/source_trsm_r.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); + int side, uplo, trans; + + if (Order == CblasRowMajor) { + n1 = M; + n2 = N; + side = Side; + uplo = Uplo; + trans = (TransA == CblasConjTrans) ? CblasTrans : TransA; + } else { + n1 = N; + n2 = M; + side = (Side == CblasLeft) ? CblasRight : CblasLeft; + uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper; + trans = (TransA == CblasConjTrans) ? CblasTrans : TransA; + } + + if (side == CblasLeft && uplo == CblasUpper && trans == CblasNoTrans) { + + /* form B := alpha * inv(TriU(A)) *B */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = n1; i > 0 && i--;) { + if (nonunit) { + BASE Aii = A[lda * i + i]; + for (j = 0; j < n2; j++) { + B[ldb * i + j] /= Aii; + } + } + + for (k = 0; k < i; k++) { + const BASE Aki = A[k * lda + i]; + for (j = 0; j < n2; j++) { + B[ldb * k + j] -= Aki * B[ldb * i + j]; + } + } + } + + } else if (side == CblasLeft && uplo == CblasUpper && trans == CblasTrans) { + + /* form B := alpha * inv(TriU(A))' *B */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + if (nonunit) { + BASE Aii = A[lda * i + i]; + for (j = 0; j < n2; j++) { + B[ldb * i + j] /= Aii; + } + } + + for (k = i + 1; k < n1; k++) { + const BASE Aik = A[i * lda + k]; + for (j = 0; j < n2; j++) { + B[ldb * k + j] -= Aik * B[ldb * i + j]; + } + } + } + + } else if (side == CblasLeft && uplo == CblasLower && trans == CblasNoTrans) { + + /* form B := alpha * inv(TriL(A))*B */ + + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + if (nonunit) { + BASE Aii = A[lda * i + i]; + for (j = 0; j < n2; j++) { + B[ldb * i + j] /= Aii; + } + } + + for (k = i + 1; k < n1; k++) { + const BASE Aki = A[k * lda + i]; + for (j = 0; j < n2; j++) { + B[ldb * k + j] -= Aki * B[ldb * i + j]; + } + } + } + + + } else if (side == CblasLeft && uplo == CblasLower && trans == CblasTrans) { + + /* form B := alpha * TriL(A)' *B */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = n1; i > 0 && i--;) { + if (nonunit) { + BASE Aii = A[lda * i + i]; + for (j = 0; j < n2; j++) { + B[ldb * i + j] /= Aii; + } + } + + for (k = 0; k < i; k++) { + const BASE Aik = A[i * lda + k]; + for (j = 0; j < n2; j++) { + B[ldb * k + j] -= Aik * B[ldb * i + j]; + } + } + } + + } else if (side == CblasRight && uplo == CblasUpper && trans == CblasNoTrans) { + + /* form B := alpha * B * inv(TriU(A)) */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + if (nonunit) { + BASE Ajj = A[lda * j + j]; + B[ldb * i + j] /= Ajj; + } + + { + BASE Bij = B[ldb * i + j]; + for (k = j + 1; k < n2; k++) { + B[ldb * i + k] -= A[j * lda + k] * Bij; + } + } + } + } + + } else if (side == CblasRight && uplo == CblasUpper && trans == CblasTrans) { + + /* form B := alpha * B * inv(TriU(A))' */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + for (j = n2; j > 0 && j--;) { + + if (nonunit) { + BASE Ajj = A[lda * j + j]; + B[ldb * i + j] /= Ajj; + } + + { + BASE Bij = B[ldb * i + j]; + for (k = 0; k < j; k++) { + B[ldb * i + k] -= A[k * lda + j] * Bij; + } + } + } + } + + + } else if (side == CblasRight && uplo == CblasLower && trans == CblasNoTrans) { + + /* form B := alpha * B * inv(TriL(A)) */ + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + for (j = n2; j > 0 && j--;) { + + if (nonunit) { + BASE Ajj = A[lda * j + j]; + B[ldb * i + j] /= Ajj; + } + + { + BASE Bij = B[ldb * i + j]; + for (k = 0; k < j; k++) { + B[ldb * i + k] -= A[j * lda + k] * Bij; + } + } + } + } + + } else if (side == CblasRight && uplo == CblasLower && trans == CblasTrans) { + + /* form B := alpha * B * inv(TriL(A))' */ + + + if (alpha != 1.0) { + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + B[ldb * i + j] *= alpha; + } + } + } + + for (i = 0; i < n1; i++) { + for (j = 0; j < n2; j++) { + if (nonunit) { + BASE Ajj = A[lda * j + j]; + B[ldb * i + j] /= Ajj; + } + + { + BASE Bij = B[ldb * i + j]; + for (k = j + 1; k < n2; k++) { + B[ldb * i + k] -= A[k * lda + j] * Bij; + } + } + } + } + + + + } else { + BLAS_ERROR("unrecognized operation"); + } +} |