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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");
+ }
+}