diff options
Diffstat (limited to 'gsl-1.9/linalg/givens.c')
-rw-r--r-- | gsl-1.9/linalg/givens.c | 46 |
1 files changed, 46 insertions, 0 deletions
diff --git a/gsl-1.9/linalg/givens.c b/gsl-1.9/linalg/givens.c new file mode 100644 index 0000000..c3875d6 --- /dev/null +++ b/gsl-1.9/linalg/givens.c @@ -0,0 +1,46 @@ +/* linalg/givens.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman, 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. + */ + +/* Generate a Givens rotation (cos,sin) which takes v=(x,y) to (|v|,0) + + From Golub and Van Loan, "Matrix Computations", Section 5.1.8 */ + +inline static void +create_givens (const double a, const double b, double *c, double *s) +{ + if (b == 0) + { + *c = 1; + *s = 0; + } + else if (fabs (b) > fabs (a)) + { + double t = -a / b; + double s1 = 1.0 / sqrt (1 + t * t); + *s = s1; + *c = s1 * t; + } + else + { + double t = -b / a; + double c1 = 1.0 / sqrt (1 + t * t); + *c = c1; + *s = c1 * t; + } +} |