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- /* blas/source_symm_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;
- int uplo, side;
- const BASE alpha_real = CONST_REAL0(alpha);
- const BASE alpha_imag = CONST_IMAG0(alpha);
- const BASE beta_real = CONST_REAL0(beta);
- const BASE beta_imag = CONST_IMAG0(beta);
- if ((alpha_real == 0.0 && alpha_imag == 0.0)
- && (beta_real == 1.0 && beta_imag == 0.0))
- return;
- if (Order == CblasRowMajor) {
- n1 = M;
- n2 = N;
- uplo = Uplo;
- side = Side;
- } else {
- n1 = N;
- n2 = M;
- uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
- side = (Side == CblasLeft) ? CblasRight : CblasLeft;
- }
- /* form y := beta*y */
- if (beta_real == 0.0 && beta_imag == 0.0) {
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- REAL(C, ldc * i + j) = 0.0;
- IMAG(C, ldc * i + j) = 0.0;
- }
- }
- } else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- const BASE Cij_real = REAL(C, ldc * i + j);
- const BASE Cij_imag = IMAG(C, ldc * i + j);
- REAL(C, ldc * i + j) = beta_real * Cij_real - beta_imag * Cij_imag;
- IMAG(C, ldc * i + j) = beta_real * Cij_imag + beta_imag * Cij_real;
- }
- }
- }
- if (alpha_real == 0.0 && alpha_imag == 0.0)
- return;
- if (side == CblasLeft && uplo == CblasUpper) {
- /* form C := alpha*A*B + C */
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- const BASE Bij_real = CONST_REAL(B, ldb * i + j);
- const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
- const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
- const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- {
- const BASE Aii_real = CONST_REAL(A, i * lda + i);
- const BASE Aii_imag = CONST_IMAG(A, i * lda + i);
- REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag;
- IMAG(C, i * ldc + j) += temp1_real * Aii_imag + temp1_imag * Aii_real;
- }
- for (k = i + 1; k < n1; k++) {
- const BASE Aik_real = CONST_REAL(A, i * lda + k);
- const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
- const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
- const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
- REAL(C, k * ldc + j) += Aik_real * temp1_real - Aik_imag * temp1_imag;
- IMAG(C, k * ldc + j) += Aik_real * temp1_imag + Aik_imag * temp1_real;
- temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
- temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
- }
- REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- }
- }
- } else if (side == CblasLeft && uplo == CblasLower) {
- /* form C := alpha*A*B + C */
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- const BASE Bij_real = CONST_REAL(B, ldb * i + j);
- const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
- const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
- const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- for (k = 0; k < i; k++) {
- const BASE Aik_real = CONST_REAL(A, i * lda + k);
- const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
- const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
- const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
- REAL(C, k * ldc + j) += Aik_real * temp1_real - Aik_imag * temp1_imag;
- IMAG(C, k * ldc + j) += Aik_real * temp1_imag + Aik_imag * temp1_real;
- temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
- temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
- }
- {
- const BASE Aii_real = CONST_REAL(A, i * lda + i);
- const BASE Aii_imag = CONST_IMAG(A, i * lda + i);
- REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag;
- IMAG(C, i * ldc + j) += temp1_real * Aii_imag + temp1_imag * Aii_real;
- }
- REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- }
- }
- } else if (side == CblasRight && uplo == CblasUpper) {
- /* form C := alpha*B*A + C */
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- const BASE Bij_real = CONST_REAL(B, ldb * i + j);
- const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
- const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
- const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- {
- const BASE Ajj_real = CONST_REAL(A, j * lda + j);
- const BASE Ajj_imag = CONST_IMAG(A, j * lda + j);
- REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag;
- IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + temp1_imag * Ajj_real;
- }
- for (k = j + 1; k < n2; k++) {
- const BASE Ajk_real = CONST_REAL(A, j * lda + k);
- const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
- const BASE Bik_real = CONST_REAL(B, ldb * i + k);
- const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
- REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
- IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
- temp2_real += Bik_real * Ajk_real - Bik_imag * Ajk_imag;
- temp2_imag += Bik_real * Ajk_imag + Bik_imag * Ajk_real;
- }
- REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- }
- }
- } else if (side == CblasRight && uplo == CblasLower) {
- /* form C := alpha*B*A + C */
- for (i = 0; i < n1; i++) {
- for (j = 0; j < n2; j++) {
- const BASE Bij_real = CONST_REAL(B, ldb * i + j);
- const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
- const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
- const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- for (k = 0; k < j; k++) {
- const BASE Ajk_real = CONST_REAL(A, j * lda + k);
- const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
- const BASE Bik_real = CONST_REAL(B, ldb * i + k);
- const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
- REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
- IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
- temp2_real += Bik_real * Ajk_real - Bik_imag * Ajk_imag;
- temp2_imag += Bik_real * Ajk_imag + Bik_imag * Ajk_real;
- }
- {
- const BASE Ajj_real = CONST_REAL(A, j * lda + j);
- const BASE Ajj_imag = CONST_IMAG(A, j * lda + j);
- REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag;
- IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + temp1_imag * Ajj_real;
- }
- REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- }
- }
- } else {
- BLAS_ERROR("unrecognized operation");
- }
- }
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