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Diffstat (limited to 'gsl-1.9/cheb/deriv.c')
-rw-r--r-- | gsl-1.9/cheb/deriv.c | 63 |
1 files changed, 63 insertions, 0 deletions
diff --git a/gsl-1.9/cheb/deriv.c b/gsl-1.9/cheb/deriv.c new file mode 100644 index 0000000..57c22df --- /dev/null +++ b/gsl-1.9/cheb/deriv.c @@ -0,0 +1,63 @@ +/* cheb/deriv.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_deriv(gsl_cheb_series * deriv, const gsl_cheb_series * f) +{ + const size_t n = f->order + 1; + const double con = 2.0 / (f->b - f->a); + size_t i; + + if(deriv->order != f->order) + { + GSL_ERROR ("order of chebyshev series must be equal", GSL_ENOMEM); + } + + /* set the other parameters in the chebyshev struct */ + + deriv->a = f->a; + deriv->b = f->b; + +#ifdef ERR + deriv->err = n * n * f->c[n-1]; /* error in derivative is n^2 c_n */ +#endif + + /* FIXME: should probably set deriv->f[] as well */ + + deriv->c[n-1] = 0.0; + + if(n > 1) { + deriv->c[n-2] = 2.0 *(n-1.0) * f->c[n-1]; + + for(i = n-3; i>0; i--) + deriv->c[i] = deriv->c[i+2] + 2.0 *(i+1.0) * f->c[i+1]; + + deriv->c[0] = deriv->c[2] + 2.0 * f->c[1]; + + for(i = 0 ; i<n ; i++) + deriv->c[i] *= con; + } + + return GSL_SUCCESS; +} |