| /* blas/source_gbmv_c.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. |
| */ |
| |
| { |
| INDEX i, j; |
| INDEX lenX, lenY, L, U; |
| |
| 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 (M == 0 || N == 0) |
| return; |
| |
| if ((alpha_real == 0.0 && alpha_imag == 0.0) |
| && (beta_real == 1.0 && beta_imag == 0.0)) |
| return; |
| |
| if (TransA == CblasNoTrans) { |
| lenX = N; |
| lenY = M; |
| L = KL; |
| U = KU; |
| } else { |
| lenX = M; |
| lenY = N; |
| L = KU; |
| U = KL; |
| } |
| |
| /* form y := beta*y */ |
| if (beta_real == 0.0 && beta_imag == 0.0) { |
| INDEX iy = OFFSET(lenY, incY); |
| for (i = 0; i < lenY; 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(lenY, incY); |
| for (i = 0; i < lenY; 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; |
| |
| if ((order == CblasRowMajor && TransA == CblasNoTrans) |
| || (order == CblasColMajor && TransA == CblasTrans)) { |
| /* form y := alpha*A*x + y */ |
| INDEX iy = OFFSET(lenY, incY); |
| for (i = 0; i < lenY; i++) { |
| BASE dotR = 0.0; |
| BASE dotI = 0.0; |
| const INDEX j_min = (i > L ? i - L : 0); |
| const INDEX j_max = GSL_MIN(lenX, i + U + 1); |
| INDEX ix = OFFSET(lenX, incX) + j_min * incX; |
| for (j = j_min; j < j_max; j++) { |
| const BASE x_real = CONST_REAL(X, ix); |
| const BASE x_imag = CONST_IMAG(X, ix); |
| const BASE A_real = CONST_REAL(A, lda * i + (L + j - i)); |
| const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i)); |
| |
| dotR += A_real * x_real - A_imag * x_imag; |
| dotI += A_real * x_imag + A_imag * x_real; |
| ix += incX; |
| } |
| |
| REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI; |
| IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR; |
| iy += incY; |
| } |
| } else if ((order == CblasRowMajor && TransA == CblasTrans) |
| || (order == CblasColMajor && TransA == CblasNoTrans)) { |
| /* form y := alpha*A'*x + y */ |
| INDEX ix = OFFSET(lenX, incX); |
| for (j = 0; j < lenX; j++) { |
| const BASE x_real = CONST_REAL(X, ix); |
| const BASE x_imag = CONST_IMAG(X, ix); |
| BASE tmpR = alpha_real * x_real - alpha_imag * x_imag; |
| BASE tmpI = alpha_real * x_imag + alpha_imag * x_real; |
| if (!(tmpR == 0.0 && tmpI == 0.0)) { |
| const INDEX i_min = (j > U ? j - U : 0); |
| const INDEX i_max = GSL_MIN(lenY, j + L + 1); |
| INDEX iy = OFFSET(lenY, incY) + i_min * incY; |
| for (i = i_min; i < i_max; i++) { |
| const BASE A_real = CONST_REAL(A, lda * j + (U + i - j)); |
| const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j)); |
| REAL(Y, iy) += A_real * tmpR - A_imag * tmpI; |
| IMAG(Y, iy) += A_real * tmpI + A_imag * tmpR; |
| iy += incY; |
| } |
| } |
| ix += incX; |
| } |
| } else if (order == CblasRowMajor && TransA == CblasConjTrans) { |
| /* form y := alpha*A^H*x + y */ |
| INDEX ix = OFFSET(lenX, incX); |
| for (j = 0; j < lenX; j++) { |
| const BASE x_real = CONST_REAL(X, ix); |
| const BASE x_imag = CONST_IMAG(X, ix); |
| BASE tmpR = alpha_real * x_real - alpha_imag * x_imag; |
| BASE tmpI = alpha_real * x_imag + alpha_imag * x_real; |
| if (!(tmpR == 0.0 && tmpI == 0.0)) { |
| const INDEX i_min = (j > U ? j - U : 0); |
| const INDEX i_max = GSL_MIN(lenY, j + L + 1); |
| INDEX iy = OFFSET(lenY, incY) + i_min * incY; |
| for (i = i_min; i < i_max; i++) { |
| const BASE A_real = CONST_REAL(A, lda * j + (U + i - j)); |
| const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j)); |
| REAL(Y, iy) += A_real * tmpR - (-A_imag) * tmpI; |
| IMAG(Y, iy) += A_real * tmpI + (-A_imag) * tmpR; |
| iy += incY; |
| } |
| } |
| ix += incX; |
| } |
| } else if (order == CblasColMajor && TransA == CblasConjTrans) { |
| /* form y := alpha*A^H*x + y */ |
| INDEX iy = OFFSET(lenY, incY); |
| for (i = 0; i < lenY; i++) { |
| BASE dotR = 0.0; |
| BASE dotI = 0.0; |
| const INDEX j_min = (i > L ? i - L : 0); |
| const INDEX j_max = GSL_MIN(lenX, i + U + 1); |
| INDEX ix = OFFSET(lenX, incX) + j_min * incX; |
| for (j = j_min; j < j_max; j++) { |
| const BASE x_real = CONST_REAL(X, ix); |
| const BASE x_imag = CONST_IMAG(X, ix); |
| const BASE A_real = CONST_REAL(A, lda * i + (L + j - i)); |
| const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i)); |
| |
| dotR += A_real * x_real - (-A_imag) * x_imag; |
| dotI += A_real * x_imag + (-A_imag) * x_real; |
| ix += incX; |
| } |
| |
| REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI; |
| IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR; |
| iy += incY; |
| } |
| } else { |
| BLAS_ERROR("unrecognized operation"); |
| } |
| } |