| /* blas/source_hemv.h |
| * |
| * Copyright (C) 2001 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 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); |
| |
| 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"); |
| } |
| } |
