#include <stdio.h>
#include <stdlib.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_movstat.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_sort.h>
#include <gsl/gsl_statistics.h>
double
func(const size_t n, double x[], void * params)
{
const double alpha = *(double *) params;
gsl_sort(x, 1, n);
return gsl_stats_trmean_from_sorted_data(alpha, x, 1, n);
}
int
main(void)
{
const size_t N = 1000; /* length of time series */
const size_t K = 11; /* window size */
double alpha = 0.1; /* trimmed mean parameter */
gsl_vector *x = gsl_vector_alloc(N); /* input vector */
gsl_vector *y = gsl_vector_alloc(N); /* filtered output vector for alpha1 */
gsl_rng *r = gsl_rng_alloc(gsl_rng_default);
gsl_movstat_workspace *w = gsl_movstat_alloc(K);
gsl_movstat_function F;
size_t i;
double sum = 0.0;
/* generate input signal */
for (i = 0; i < N; ++i)
{
double ui = gsl_ran_gaussian(r, 1.0);
double outlier = (gsl_rng_uniform(r) < 0.01) ? 10.0*GSL_SIGN(ui) : 0.0;
sum += ui;
gsl_vector_set(x, i, sum + outlier);
}
/* apply moving window function */
F.function = func;
F.params = α
gsl_movstat_apply(GSL_MOVSTAT_END_PADVALUE, &F, x, y, w);
/* print results */
for (i = 0; i < N; ++i)
{
double xi = gsl_vector_get(x, i);
double yi = gsl_vector_get(y, i);
printf("%f %f\n", xi, yi);
}
gsl_vector_free(x);
gsl_vector_free(y);
gsl_rng_free(r);
gsl_movstat_free(w);
return 0;
}