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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 ());
}
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