diff options
Diffstat (limited to 'gsl-1.9/cblas/source_hbmv.h')
| -rw-r--r-- | gsl-1.9/cblas/source_hbmv.h | 145 |
1 files changed, 145 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_hbmv.h b/gsl-1.9/cblas/source_hbmv.h new file mode 100644 index 0000000..28ee607 --- /dev/null +++ b/gsl-1.9/cblas/source_hbmv.h @@ -0,0 +1,145 @@ +/* blas/source_hbmv.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; + const int conj = (order == CblasColMajor) ? -1 : 1; + + 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 (N == 0) + return; + + 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 = GSL_MIN(N, i + K + 1); + INDEX jx = OFFSET(N, incX) + j_min * incX; + INDEX jy = OFFSET(N, incY) + j_min * incY; + BASE Aii_real = CONST_REAL(A, lda * i + 0); + /* 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 - i)); + BASE Aij_imag = conj * CONST_IMAG(A, lda * i + (j - i)); + 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); + 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 = (K > i ? 0 : i - K); + const INDEX j_max = i; + INDEX jx = OFFSET(N, incX) + j_min * incX; + INDEX jy = OFFSET(N, incY) + j_min * incY; + + for (j = j_min; j < j_max; j++) { + BASE Aij_real = CONST_REAL(A, i * lda + (K - i + j)); + BASE Aij_imag = conj * CONST_IMAG(A, i * lda + (K - 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; + } + + { + BASE Aii_real = CONST_REAL(A, lda * i + K); + /* Aii_imag is zero */ + REAL(Y, iy) += temp1_real * Aii_real; + IMAG(Y, iy) += temp1_imag * Aii_real; + } + + 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"); + } + +} |