123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331 |
- /* 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;
- 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");
- }
- }
|