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/* blas/source_hpr2.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(Ap, TPUP(N, i, i)) += 2 * (tmp1_real * Yi_real + tmp1_imag * Yi_imag);
IMAG(Ap, TPUP(N, 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(Ap, TPUP(N, i, j)) += ((tmp1_real * Yj_real + tmp1_imag * Yj_imag)
+ (tmp2_real * Xj_real + tmp2_imag * Xj_imag));
IMAG(Ap, TPUP(N, 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(Ap, TPLO(N, i, j)) += ((tmp1_real * Yj_real + tmp1_imag * Yj_imag)
+ (tmp2_real * Xj_real + tmp2_imag * Xj_imag));
IMAG(Ap, TPLO(N, i, j)) +=
conj * ((tmp1_imag * Yj_real - tmp1_real * Yj_imag) +
(tmp2_imag * Xj_real - tmp2_real * Xj_imag));
jx += incX;
jy += incY;
}
REAL(Ap, TPLO(N, i, i)) += 2 * (tmp1_real * Yi_real + tmp1_imag * Yi_imag);
IMAG(Ap, TPLO(N, i, i)) = 0;
ix += incX;
iy += incY;
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
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