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- /* blas/source_hemv.h
- *
- * Copyright (C) 2001, 2007 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 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);
- 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;
- /* form y := beta*y */
- if (beta_real == 0.0 && beta_imag == 0.0) {
- INDEX iy = OFFSET(N, incY);
- for (i = 0; i < N; i++) {
- REAL(Y, iy) = 0.0;
- IMAG(Y, iy) = 0.0;
- iy += incY;
- }
- } else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
- INDEX iy = OFFSET(N, incY);
- for (i = 0; i < N; i++) {
- const BASE y_real = REAL(Y, iy);
- const BASE y_imag = IMAG(Y, iy);
- const BASE tmpR = y_real * beta_real - y_imag * beta_imag;
- const BASE tmpI = y_real * beta_imag + y_imag * beta_real;
- REAL(Y, iy) = tmpR;
- IMAG(Y, iy) = tmpI;
- iy += incY;
- }
- }
- if (alpha_real == 0.0 && alpha_imag == 0.0)
- return;
- /* form y := alpha*A*x + y */
- 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++) {
- BASE x_real = CONST_REAL(X, ix);
- BASE x_imag = CONST_IMAG(X, ix);
- BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
- BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- const INDEX j_min = i + 1;
- const INDEX j_max = N;
- INDEX jx = OFFSET(N, incX) + j_min * incX;
- INDEX jy = OFFSET(N, incY) + j_min * incY;
- BASE Aii_real = CONST_REAL(A, lda * i + i);
- /* Aii_imag is zero */
- REAL(Y, iy) += temp1_real * Aii_real;
- IMAG(Y, iy) += temp1_imag * Aii_real;
- for (j = j_min; j < j_max; j++) {
- BASE Aij_real = CONST_REAL(A, lda * i + j);
- BASE Aij_imag = conj * CONST_IMAG(A, lda * i + j);
- REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
- IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
- x_real = CONST_REAL(X, jx);
- x_imag = CONST_IMAG(X, jx);
- temp2_real += x_real * Aij_real - x_imag * Aij_imag;
- temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
- jx += incX;
- jy += incY;
- }
- REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- ix += incX;
- iy += incY;
- }
- } else if ((order == CblasRowMajor && Uplo == CblasLower)
- || (order == CblasColMajor && Uplo == CblasUpper)) {
- INDEX ix = OFFSET(N, incX) + (N - 1) * incX;
- INDEX iy = OFFSET(N, incY) + (N - 1) * incY;
- for (i = N; i > 0 && i--;) {
- BASE x_real = CONST_REAL(X, ix);
- BASE x_imag = CONST_IMAG(X, ix);
- BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
- BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
- BASE temp2_real = 0.0;
- BASE temp2_imag = 0.0;
- const INDEX j_min = 0;
- const INDEX j_max = i;
- INDEX jx = OFFSET(N, incX) + j_min * incX;
- INDEX jy = OFFSET(N, incY) + j_min * incY;
- BASE Aii_real = CONST_REAL(A, lda * i + i);
- /* Aii_imag is zero */
- REAL(Y, iy) += temp1_real * Aii_real;
- IMAG(Y, iy) += temp1_imag * Aii_real;
- for (j = j_min; j < j_max; j++) {
- BASE Aij_real = CONST_REAL(A, lda * i + j);
- BASE Aij_imag = conj * CONST_IMAG(A, lda * i + j);
- REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
- IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
- x_real = CONST_REAL(X, jx);
- x_imag = CONST_IMAG(X, jx);
- temp2_real += x_real * Aij_real - x_imag * Aij_imag;
- temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
- jx += incX;
- jy += incY;
- }
- REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
- IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
- ix -= incX;
- iy -= incY;
- }
- } else {
- BLAS_ERROR("unrecognized operation");
- }
- }
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