| /* blas/source_syr2k_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; |
| int uplo, trans; |
| |
| 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) { |
| uplo = Uplo; |
| trans = Trans; |
| } else { |
| uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper; |
| trans = (Trans == CblasNoTrans) ? CblasTrans : CblasNoTrans; |
| } |
| |
| /* form C := beta*C */ |
| |
| if (beta_real == 0.0 && beta_imag == 0.0) { |
| if (uplo == CblasUpper) { |
| for (i = 0; i < N; i++) { |
| for (j = i; j < N; j++) { |
| REAL(C, ldc * i + j) = 0.0; |
| IMAG(C, ldc * i + j) = 0.0; |
| } |
| } |
| } else { |
| for (i = 0; i < N; i++) { |
| for (j = 0; j <= i; 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)) { |
| if (uplo == CblasUpper) { |
| for (i = 0; i < N; i++) { |
| for (j = i; j < N; 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; |
| } |
| } |
| } else { |
| for (i = 0; i < N; i++) { |
| for (j = 0; j <= i; 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 (uplo == CblasUpper && trans == CblasNoTrans) { |
| |
| for (i = 0; i < N; i++) { |
| for (j = i; j < N; j++) { |
| BASE temp_real = 0.0; |
| BASE temp_imag = 0.0; |
| for (k = 0; k < K; k++) { |
| const BASE Aik_real = CONST_REAL(A, i * lda + k); |
| const BASE Aik_imag = CONST_IMAG(A, i * lda + k); |
| const BASE Bik_real = CONST_REAL(B, i * ldb + k); |
| const BASE Bik_imag = CONST_IMAG(B, i * ldb + k); |
| const BASE Ajk_real = CONST_REAL(A, j * lda + k); |
| const BASE Ajk_imag = CONST_IMAG(A, j * lda + k); |
| const BASE Bjk_real = CONST_REAL(B, j * ldb + k); |
| const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k); |
| temp_real += ((Aik_real * Bjk_real - Aik_imag * Bjk_imag) |
| + (Bik_real * Ajk_real - Bik_imag * Ajk_imag)); |
| temp_imag += ((Aik_real * Bjk_imag + Aik_imag * Bjk_real) |
| + (Bik_real * Ajk_imag + Bik_imag * Ajk_real)); |
| } |
| REAL(C, i * ldc + j) += alpha_real * temp_real - alpha_imag * temp_imag; |
| IMAG(C, i * ldc + j) += alpha_real * temp_imag + alpha_imag * temp_real; |
| } |
| } |
| |
| } else if (uplo == CblasUpper && trans == CblasTrans) { |
| |
| for (k = 0; k < K; k++) { |
| for (i = 0; i < N; i++) { |
| BASE Aki_real = CONST_REAL(A, k * lda + i); |
| BASE Aki_imag = CONST_IMAG(A, k * lda + i); |
| BASE Bki_real = CONST_REAL(B, k * ldb + i); |
| BASE Bki_imag = CONST_IMAG(B, k * ldb + i); |
| BASE temp1_real = alpha_real * Aki_real - alpha_imag * Aki_imag; |
| BASE temp1_imag = alpha_real * Aki_imag + alpha_imag * Aki_real; |
| BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag; |
| BASE temp2_imag = alpha_real * Bki_imag + alpha_imag * Bki_real; |
| for (j = i; j < N; j++) { |
| BASE Akj_real = CONST_REAL(A, k * lda + j); |
| BASE Akj_imag = CONST_IMAG(A, k * lda + j); |
| BASE Bkj_real = CONST_REAL(B, k * ldb + j); |
| BASE Bkj_imag = CONST_IMAG(B, k * ldb + j); |
| REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag) |
| + (temp2_real * Akj_real - temp2_imag * Akj_imag); |
| IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real) |
| + (temp2_real * Akj_imag + temp2_imag * Akj_real); |
| } |
| } |
| } |
| |
| } else if (uplo == CblasLower && trans == CblasNoTrans) { |
| |
| |
| for (i = 0; i < N; i++) { |
| for (j = 0; j <= i; j++) { |
| BASE temp_real = 0.0; |
| BASE temp_imag = 0.0; |
| for (k = 0; k < K; k++) { |
| const BASE Aik_real = CONST_REAL(A, i * lda + k); |
| const BASE Aik_imag = CONST_IMAG(A, i * lda + k); |
| const BASE Bik_real = CONST_REAL(B, i * ldb + k); |
| const BASE Bik_imag = CONST_IMAG(B, i * ldb + k); |
| const BASE Ajk_real = CONST_REAL(A, j * lda + k); |
| const BASE Ajk_imag = CONST_IMAG(A, j * lda + k); |
| const BASE Bjk_real = CONST_REAL(B, j * ldb + k); |
| const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k); |
| temp_real += ((Aik_real * Bjk_real - Aik_imag * Bjk_imag) |
| + (Bik_real * Ajk_real - Bik_imag * Ajk_imag)); |
| temp_imag += ((Aik_real * Bjk_imag + Aik_imag * Bjk_real) |
| + (Bik_real * Ajk_imag + Bik_imag * Ajk_real)); |
| } |
| REAL(C, i * ldc + j) += alpha_real * temp_real - alpha_imag * temp_imag; |
| IMAG(C, i * ldc + j) += alpha_real * temp_imag + alpha_imag * temp_real; |
| } |
| } |
| |
| } else if (uplo == CblasLower && trans == CblasTrans) { |
| |
| for (k = 0; k < K; k++) { |
| for (i = 0; i < N; i++) { |
| BASE Aki_real = CONST_REAL(A, k * lda + i); |
| BASE Aki_imag = CONST_IMAG(A, k * lda + i); |
| BASE Bki_real = CONST_REAL(B, k * ldb + i); |
| BASE Bki_imag = CONST_IMAG(B, k * ldb + i); |
| BASE temp1_real = alpha_real * Aki_real - alpha_imag * Aki_imag; |
| BASE temp1_imag = alpha_real * Aki_imag + alpha_imag * Aki_real; |
| BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag; |
| BASE temp2_imag = alpha_real * Bki_imag + alpha_imag * Bki_real; |
| for (j = 0; j <= i; j++) { |
| BASE Akj_real = CONST_REAL(A, k * lda + j); |
| BASE Akj_imag = CONST_IMAG(A, k * lda + j); |
| BASE Bkj_real = CONST_REAL(B, k * ldb + j); |
| BASE Bkj_imag = CONST_IMAG(B, k * ldb + j); |
| REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag) |
| + (temp2_real * Akj_real - temp2_imag * Akj_imag); |
| IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real) |
| + (temp2_real * Akj_imag + temp2_imag * Akj_real); |
| } |
| } |
| } |
| |
| |
| } else { |
| BLAS_ERROR("unrecognized operation"); |
| } |
| } |
