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-rw-r--r--gsl-1.9/cheb/init.c101
1 files changed, 101 insertions, 0 deletions
diff --git a/gsl-1.9/cheb/init.c b/gsl-1.9/cheb/init.c
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+++ b/gsl-1.9/cheb/init.c
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+/* cheb/init.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>
+
+/*-*-*-*-*-*-*-*-*-*-*-* Allocators *-*-*-*-*-*-*-*-*-*-*-*/
+
+gsl_cheb_series *
+gsl_cheb_alloc(const size_t order)
+{
+ gsl_cheb_series * cs = (gsl_cheb_series *) malloc(sizeof(gsl_cheb_series));
+
+ if(cs == 0) {
+ GSL_ERROR_VAL("failed to allocate gsl_cheb_series struct", GSL_ENOMEM, 0);
+ }
+
+ cs->order = order;
+ cs->order_sp = order;
+
+ cs->c = (double *) malloc((order+1) * sizeof(double));
+
+ if(cs->c == 0) {
+ GSL_ERROR_VAL("failed to allocate cheb coefficients", GSL_ENOMEM, 0);
+ }
+
+ cs->f = (double *) malloc((order+1) * sizeof(double));
+
+ if(cs->f == 0) {
+ GSL_ERROR_VAL("failed to allocate cheb function space", GSL_ENOMEM, 0);
+ }
+
+ return cs;
+}
+
+
+void gsl_cheb_free(gsl_cheb_series * cs)
+{
+ free(cs->f);
+ free(cs->c);
+ free(cs);
+}
+
+/*-*-*-*-*-*-*-*-*-*-*-* Initializer *-*-*-*-*-*-*-*-*-*-*-*/
+
+int gsl_cheb_init(gsl_cheb_series * cs, const gsl_function *func,
+ const double a, const double b)
+{
+ size_t k, j;
+
+ if(a >= b) {
+ GSL_ERROR_VAL("null function interval [a,b]", GSL_EDOM, 0);
+ }
+ cs->a = a;
+ cs->b = b;
+ /* cs->err = 0.0; */
+
+ {
+ double bma = 0.5 * (cs->b - cs->a);
+ double bpa = 0.5 * (cs->b + cs->a);
+ double fac = 2.0/(cs->order +1.0);
+
+ for(k = 0; k<=cs->order; k++) {
+ double y = cos(M_PI * (k+0.5)/(cs->order+1));
+ cs->f[k] = GSL_FN_EVAL(func, (y*bma + bpa));
+ }
+
+ for(j = 0; j<=cs->order; j++) {
+ double sum = 0.0;
+ for(k = 0; k<=cs->order; k++)
+ sum += cs->f[k]*cos(M_PI * j*(k+0.5)/(cs->order+1));
+ cs->c[j] = fac * sum;
+ }
+
+ }
+ return GSL_SUCCESS;
+}
+
+
+
+
+