diff options
Diffstat (limited to 'gsl-1.9/cblas/source_trmv_c.h')
| -rw-r--r-- | gsl-1.9/cblas/source_trmv_c.h | 169 |
1 files changed, 169 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_trmv_c.h b/gsl-1.9/cblas/source_trmv_c.h new file mode 100644 index 0000000..dc57c73 --- /dev/null +++ b/gsl-1.9/cblas/source_trmv_c.h @@ -0,0 +1,169 @@ +/* blas/source_tbmv_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. + */ + +{ + const int conj = (TransA == CblasConjTrans) ? -1 : 1; + const int Trans = (TransA != CblasConjTrans) ? TransA : CblasTrans; + const int nonunit = (Diag == CblasNonUnit); + + INDEX i, j; + + if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasUpper) + || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasLower)) { + + /* form x := A*x */ + INDEX ix = OFFSET(N, incX); + for (i = 0; i < N; i++) { + BASE temp_r = 0.0; + BASE temp_i = 0.0; + const INDEX j_min = i + 1; + INDEX jx = OFFSET(N, incX) + incX * j_min; + for (j = j_min; j < N; j++) { + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + const BASE A_real = CONST_REAL(A, lda * i + j); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + j); + + temp_r += A_real * x_real - A_imag * x_imag; + temp_i += A_real * x_imag + A_imag * x_real; + + jx += incX; + } + if (nonunit) { + const BASE x_real = REAL(X, ix); + const BASE x_imag = IMAG(X, ix); + const BASE A_real = CONST_REAL(A, lda * i + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); + + REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); + IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); + } else { + REAL(X, ix) += temp_r; + IMAG(X, ix) += temp_i; + } + ix += incX; + } + } else if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasLower) + || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasUpper)) { + + INDEX ix = OFFSET(N, incX) + (N - 1) * incX; + + for (i = N; i > 0 && i--;) { + BASE temp_r = 0.0; + BASE temp_i = 0.0; + const INDEX j_max = i; + INDEX jx = OFFSET(N, incX); + for (j = 0; j < j_max; j++) { + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + const BASE A_real = CONST_REAL(A, lda * i + j); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + j); + + temp_r += A_real * x_real - A_imag * x_imag; + temp_i += A_real * x_imag + A_imag * x_real; + + jx += incX; + } + if (nonunit) { + const BASE x_real = REAL(X, ix); + const BASE x_imag = IMAG(X, ix); + const BASE A_real = CONST_REAL(A, lda * i + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); + + REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); + IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); + } else { + REAL(X, ix) += temp_r; + IMAG(X, ix) += temp_i; + } + ix -= incX; + } + } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasUpper) + || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasLower)) { + /* form x := A'*x */ + + INDEX ix = OFFSET(N, incX) + (N - 1) * incX; + for (i = N; i > 0 && i--;) { + BASE temp_r = 0.0; + BASE temp_i = 0.0; + const INDEX j_max = i; + INDEX jx = OFFSET(N, incX); + for (j = 0; j < j_max; j++) { + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + const BASE A_real = CONST_REAL(A, lda * j + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * j + i); + + temp_r += A_real * x_real - A_imag * x_imag; + temp_i += A_real * x_imag + A_imag * x_real; + + jx += incX; + } + if (nonunit) { + const BASE x_real = REAL(X, ix); + const BASE x_imag = IMAG(X, ix); + const BASE A_real = CONST_REAL(A, lda * i + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); + + REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); + IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); + } else { + REAL(X, ix) += temp_r; + IMAG(X, ix) += temp_i; + } + ix -= incX; + } + + } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasLower) + || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasUpper)) { + INDEX ix = OFFSET(N, incX); + for (i = 0; i < N; i++) { + BASE temp_r = 0.0; + BASE temp_i = 0.0; + const INDEX j_min = i + 1; + INDEX jx = OFFSET(N, incX) + j_min * incX; + for (j = j_min; j < N; j++) { + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + const BASE A_real = CONST_REAL(A, lda * j + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * j + i); + + temp_r += A_real * x_real - A_imag * x_imag; + temp_i += A_real * x_imag + A_imag * x_real; + + jx += incX; + } + if (nonunit) { + const BASE x_real = REAL(X, ix); + const BASE x_imag = IMAG(X, ix); + const BASE A_real = CONST_REAL(A, lda * i + i); + const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); + + REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); + IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); + } else { + REAL(X, ix) += temp_r; + IMAG(X, ix) += temp_i; + } + ix += incX; + } + } else { + BLAS_ERROR("unrecognized operation"); + } +} |