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Diffstat (limited to 'gsl-1.9/cheb/integ.c')
-rw-r--r-- | gsl-1.9/cheb/integ.c | 65 |
1 files changed, 65 insertions, 0 deletions
diff --git a/gsl-1.9/cheb/integ.c b/gsl-1.9/cheb/integ.c new file mode 100644 index 0000000..0f49dd9 --- /dev/null +++ b/gsl-1.9/cheb/integ.c @@ -0,0 +1,65 @@ +/* cheb/integ.c + * + * 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. + */ + +#include <config.h> +#include <stdlib.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_errno.h> +#include <gsl/gsl_chebyshev.h> + +int gsl_cheb_calc_integ(gsl_cheb_series * integ, const gsl_cheb_series * f) +{ + const size_t n = f->order + 1; + const double con = 0.25 * (f->b - f->a); + + if(integ->order != f->order) + { + GSL_ERROR ("order of chebyshev series must be equal", GSL_ENOMEM); + } + + /* set the other parameters in the chebyshev struct */ + + integ->a = f->a; + integ->b = f->b; + + /* FIXME: should probably set integ->f[] as well */ + + if(n == 1) { + integ->c[0] = 0.; + } + else if(n == 2) { + integ->c[1] = con * f->c[0]; + integ->c[0] = 2.0 * integ->c[1]; + } + else { + double sum = 0.0; + double fac = 1.0; + size_t i; + for(i=1; i<=n-2; i++) { + integ->c[i] = con * (f->c[i-1] - f->c[i+1])/((double)i); + sum += fac * integ->c[i]; + fac = -fac; + } + integ->c[n-1] = con * f->c[n-2]/(n-1.0); + sum += fac * integ->c[n-1]; + integ->c[0] = 2.0 * sum; + } + + return GSL_SUCCESS; +} |