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+/* bspline/test.c
+ *
+ * Copyright (C) 2006 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.
+ */
+
+#include <config.h>
+#include <gsl/gsl_test.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_bspline.h>
+#include <gsl/gsl_ieee_utils.h>
+
+void
+test_bspline (gsl_bspline_workspace * bw)
+{
+ gsl_vector *B;
+ size_t i, j;
+ size_t n = 100;
+ size_t ncoeffs = gsl_bspline_ncoeffs (bw);
+ size_t order = gsl_bspline_order (bw);
+ size_t nbreak = gsl_bspline_nbreak (bw);
+ double a = gsl_bspline_breakpoint (0, bw);
+ double b = gsl_bspline_breakpoint (nbreak - 1, bw);
+
+ B = gsl_vector_alloc (ncoeffs);
+
+ for (i = 0; i < n; i++)
+ {
+ double xi = a + (b - a) * (i / (n - 1.0));
+ double sum = 0;
+ gsl_bspline_eval (xi, B, bw);
+
+ for (j = 0; j < ncoeffs; j++)
+ {
+ double Bj = gsl_vector_get (B, j);
+ int s = (Bj < 0 || Bj > 1);
+ gsl_test (s,
+ "basis-spline coefficient %u is in range [0,1] for x=%g",
+ j, xi);
+ sum += Bj;
+ }
+
+ gsl_test_rel (sum, 1.0, order * GSL_DBL_EPSILON,
+ "basis-spline order %u is normalized for x=%g", order,
+ xi);
+ }
+
+ gsl_vector_free (B);
+}
+
+
+
+int
+main (int argc, char **argv)
+{
+ int status = 0;
+ size_t order, breakpoints, i;
+
+ gsl_ieee_env_setup ();
+
+ argc = 0; /* prevent warnings about unused parameters */
+ argv = 0;
+
+ for (order = 1; order < 10; order++)
+ {
+ for (breakpoints = 2; breakpoints < 100; breakpoints++)
+ {
+ double a = -1.23 * order, b = 45.6 * order;
+ gsl_bspline_workspace *bw = gsl_bspline_alloc (order, breakpoints);
+ gsl_bspline_knots_uniform (a, b, bw);
+ test_bspline (bw);
+ gsl_bspline_free (bw);
+ }
+ }
+
+
+ for (order = 1; order < 10; order++)
+ {
+ for (breakpoints = 2; breakpoints < 100; breakpoints++)
+ {
+ double a = -1.23 * order, b = 45.6 * order;
+ gsl_bspline_workspace *bw = gsl_bspline_alloc (order, breakpoints);
+ gsl_vector *k = gsl_vector_alloc (breakpoints);
+ for (i = 0; i < breakpoints; i++)
+ {
+ double f, x;
+ f = sqrt (i / (breakpoints - 1.0));
+ x = (1 - f) * a + f * b;
+ gsl_vector_set (k, i, x);
+ };
+ gsl_bspline_knots (k, bw);
+ test_bspline (bw);
+ gsl_vector_free (k);
+ gsl_bspline_free (bw);
+ }
+ }
+
+ exit (gsl_test_summary ());
+}