diff options
Diffstat (limited to 'gsl-1.9/cblas/source_tbsv_c.h')
| -rw-r--r-- | gsl-1.9/cblas/source_tbsv_c.h | 179 |
1 files changed, 179 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_tbsv_c.h b/gsl-1.9/cblas/source_tbsv_c.h new file mode 100644 index 0000000..85f0652 --- /dev/null +++ b/gsl-1.9/cblas/source_tbsv_c.h @@ -0,0 +1,179 @@ +/* blas/source_tbsv_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 (N == 0) + return; + + /* form x := inv( A )*x */ + + if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasUpper) + || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasLower)) { + + INDEX ix = OFFSET(N, incX) + incX * (N - 1); + + for (i = N; i > 0 && i--;) { + BASE tmp_real = REAL(X, ix); + BASE tmp_imag = IMAG(X, ix); + const INDEX j_min = i + 1; + const INDEX j_max = GSL_MIN(N, i + K + 1); + INDEX jx = OFFSET(N, incX) + j_min * incX; + for (j = j_min; j < j_max; j++) { + const BASE Aij_real = CONST_REAL(A, lda * i + (j - i)); + const BASE Aij_imag = conj * CONST_IMAG(A, lda * i + (j - i)); + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + tmp_real -= Aij_real * x_real - Aij_imag * x_imag; + tmp_imag -= Aij_real * x_imag + Aij_imag * x_real; + jx += incX; + } + + if (nonunit) { + const BASE a_real = CONST_REAL(A, lda * i + 0); + const BASE a_imag = conj * CONST_IMAG(A, lda * i + 0); + const BASE s = xhypot(a_real, a_imag); + const BASE b_real = a_real / s; + const BASE b_imag = a_imag / s; + REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s; + IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s; + } else { + REAL(X, ix) = tmp_real; + IMAG(X, ix) = tmp_imag; + } + ix -= incX; + } + + } else if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasLower) + || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasUpper)) { + /* forward substitution */ + + INDEX ix = OFFSET(N, incX); + + for (i = 0; i < N; i++) { + BASE tmp_real = REAL(X, ix); + BASE tmp_imag = IMAG(X, ix); + const INDEX j_min = (K > i ? 0 : i - K); + const INDEX j_max = i; + INDEX jx = OFFSET(N, incX) + j_min * incX; + for (j = j_min; j < j_max; j++) { + const BASE Aij_real = CONST_REAL(A, lda * i + (K + j - i)); + const BASE Aij_imag = conj * CONST_IMAG(A, lda * i + (K + j - i)); + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + tmp_real -= Aij_real * x_real - Aij_imag * x_imag; + tmp_imag -= Aij_real * x_imag + Aij_imag * x_real; + jx += incX; + } + if (nonunit) { + const BASE a_real = CONST_REAL(A, lda * i + K); + const BASE a_imag = conj * CONST_IMAG(A, lda * i + K); + const BASE s = xhypot(a_real, a_imag); + const BASE b_real = a_real / s; + const BASE b_imag = a_imag / s; + REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s; + IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s; + } else { + REAL(X, ix) = tmp_real; + IMAG(X, ix) = tmp_imag; + } + ix += incX; + } + } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasUpper) + || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasLower)) { + /* form x := inv( A' )*x */ + + /* forward substitution */ + + INDEX ix = OFFSET(N, incX); + + for (i = 0; i < N; i++) { + BASE tmp_real = REAL(X, ix); + BASE tmp_imag = IMAG(X, ix); + const INDEX j_min = (K > i ? 0 : i - K); + const INDEX j_max = i; + INDEX jx = OFFSET(N, incX) + j_min * incX; + for (j = j_min; j < j_max; j++) { + const BASE Aij_real = CONST_REAL(A, (i - j) + lda * j); + const BASE Aij_imag = conj * CONST_IMAG(A, (i - j) + lda * j); + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + tmp_real -= Aij_real * x_real - Aij_imag * x_imag; + tmp_imag -= Aij_real * x_imag + Aij_imag * x_real; + jx += incX; + } + if (nonunit) { + const BASE a_real = CONST_REAL(A, 0 + lda * i); + const BASE a_imag = conj * CONST_IMAG(A, 0 + lda * i); + const BASE s = xhypot(a_real, a_imag); + const BASE b_real = a_real / s; + const BASE b_imag = a_imag / s; + REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s; + IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s; + } else { + REAL(X, ix) = tmp_real; + IMAG(X, ix) = tmp_imag; + } + ix += incX; + } + } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasLower) + || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasUpper)) { + + /* backsubstitution */ + + INDEX ix = OFFSET(N, incX) + incX * (N - 1); + + for (i = N; i > 0 && i--;) { + BASE tmp_real = REAL(X, ix); + BASE tmp_imag = IMAG(X, ix); + const INDEX j_min = i + 1; + const INDEX j_max = GSL_MIN(N, i + K + 1); + INDEX jx = OFFSET(N, incX) + j_min * incX; + for (j = j_min; j < j_max; j++) { + const BASE Aij_real = CONST_REAL(A, (K + i - j) + lda * j); + const BASE Aij_imag = conj * CONST_IMAG(A, (K + i - j) + lda * j); + const BASE x_real = REAL(X, jx); + const BASE x_imag = IMAG(X, jx); + tmp_real -= Aij_real * x_real - Aij_imag * x_imag; + tmp_imag -= Aij_real * x_imag + Aij_imag * x_real; + jx += incX; + } + + if (nonunit) { + const BASE a_real = CONST_REAL(A, K + lda * i); + const BASE a_imag = conj * CONST_IMAG(A, K + lda * i); + const BASE s = xhypot(a_real, a_imag); + const BASE b_real = a_real / s; + const BASE b_imag = a_imag / s; + REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s; + IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s; + } else { + REAL(X, ix) = tmp_real; + IMAG(X, ix) = tmp_imag; + } + ix -= incX; + } + } else { + BLAS_ERROR("unrecognized operation"); + } +} |