| /* blas/source_her2.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman |
| * |
| * 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. |
| */ |
| |
| { |
| const int conj = (order == CblasColMajor) ? -1 : 1; |
| INDEX i, j; |
| |
| const BASE alpha_real = CONST_REAL0(alpha); |
| const BASE alpha_imag = CONST_IMAG0(alpha); |
| |
| if (alpha_real == 0.0 && alpha_imag == 0.0) |
| return; |
| |
| if ((order == CblasRowMajor && Uplo == CblasUpper) |
| || (order == CblasColMajor && Uplo == CblasLower)) { |
| INDEX ix = OFFSET(N, incX); |
| INDEX iy = OFFSET(N, incY); |
| for (i = 0; i < N; i++) { |
| const BASE Xi_real = CONST_REAL(X, ix); |
| const BASE Xi_imag = CONST_IMAG(X, ix); |
| /* tmp1 = alpha Xi */ |
| const BASE tmp1_real = alpha_real * Xi_real - alpha_imag * Xi_imag; |
| const BASE tmp1_imag = alpha_imag * Xi_real + alpha_real * Xi_imag; |
| |
| const BASE Yi_real = CONST_REAL(Y, iy); |
| const BASE Yi_imag = CONST_IMAG(Y, iy); |
| /* tmp2 = conj(alpha) Yi */ |
| const BASE tmp2_real = alpha_real * Yi_real + alpha_imag * Yi_imag; |
| const BASE tmp2_imag = -alpha_imag * Yi_real + alpha_real * Yi_imag; |
| |
| INDEX jx = ix + incX; |
| INDEX jy = iy + incY; |
| |
| /* Aij = alpha*Xi*conj(Yj) + conj(alpha)*Yi*conj(Xj) */ |
| |
| REAL(A, lda * i + i) += 2 * (tmp1_real * Yi_real + tmp1_imag * Yi_imag); |
| IMAG(A, lda * i + i) = 0; |
| |
| for (j = i + 1; j < N; j++) { |
| const BASE Xj_real = CONST_REAL(X, jx); |
| const BASE Xj_imag = CONST_IMAG(X, jx); |
| const BASE Yj_real = CONST_REAL(Y, jy); |
| const BASE Yj_imag = CONST_IMAG(Y, jy); |
| REAL(A, lda * i + j) += ((tmp1_real * Yj_real + tmp1_imag * Yj_imag) |
| + (tmp2_real * Xj_real + tmp2_imag * Xj_imag)); |
| IMAG(A, lda * i + j) += |
| conj * ((tmp1_imag * Yj_real - tmp1_real * Yj_imag) + |
| (tmp2_imag * Xj_real - tmp2_real * Xj_imag)); |
| jx += incX; |
| jy += incY; |
| } |
| ix += incX; |
| iy += incY; |
| } |
| } else if ((order == CblasRowMajor && Uplo == CblasLower) |
| || (order == CblasColMajor && Uplo == CblasUpper)) { |
| |
| INDEX ix = OFFSET(N, incX); |
| INDEX iy = OFFSET(N, incY); |
| for (i = 0; i < N; i++) { |
| const BASE Xi_real = CONST_REAL(X, ix); |
| const BASE Xi_imag = CONST_IMAG(X, ix); |
| const BASE tmp1_real = alpha_real * Xi_real - alpha_imag * Xi_imag; |
| const BASE tmp1_imag = alpha_imag * Xi_real + alpha_real * Xi_imag; |
| |
| const BASE Yi_real = CONST_REAL(Y, iy); |
| const BASE Yi_imag = CONST_IMAG(Y, iy); |
| const BASE tmp2_real = alpha_real * Yi_real + alpha_imag * Yi_imag; |
| const BASE tmp2_imag = -alpha_imag * Yi_real + alpha_real * Yi_imag; |
| |
| INDEX jx = OFFSET(N, incX); |
| INDEX jy = OFFSET(N, incY); |
| |
| /* Aij = alpha*Xi*conj(Yj) + conj(alpha)*Yi*conj(Xj) */ |
| |
| for (j = 0; j < i; j++) { |
| const BASE Xj_real = CONST_REAL(X, jx); |
| const BASE Xj_imag = CONST_IMAG(X, jx); |
| const BASE Yj_real = CONST_REAL(Y, jy); |
| const BASE Yj_imag = CONST_IMAG(Y, jy); |
| REAL(A, lda * i + j) += ((tmp1_real * Yj_real + tmp1_imag * Yj_imag) |
| + (tmp2_real * Xj_real + tmp2_imag * Xj_imag)); |
| IMAG(A, lda * i + j) += |
| conj * ((tmp1_imag * Yj_real - tmp1_real * Yj_imag) + |
| (tmp2_imag * Xj_real - tmp2_real * Xj_imag)); |
| jx += incX; |
| jy += incY; |
| } |
| |
| REAL(A, lda * i + i) += 2 * (tmp1_real * Yi_real + tmp1_imag * Yi_imag); |
| IMAG(A, lda * i + i) = 0; |
| |
| ix += incX; |
| iy += incY; |
| } |
| } else { |
| BLAS_ERROR("unrecognized operation"); |
| } |
| } |