| /* 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"); |
| } |
| } |
