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- /* 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 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.
- */
- {
- 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");
- }
- }
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