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- /* 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., 675 Mass Ave, Cambridge, MA 02139, 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;
- }
-