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/* randist/laplace.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, 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 <math.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>
/* The two-sided exponential probability distribution is
p(x) dx = (1/(2 a)) * exp(-|x/a|) dx
for -infty < x < infty. It is also known as the Laplace distribution. */
double
gsl_ran_laplace (const gsl_rng * r, const double a)
{
double u;
do
{
u = 2 * gsl_rng_uniform (r) - 1.0;
}
while (u == 0.0);
if (u < 0)
{
return a * log (-u);
}
else
{
return -a * log (u);
}
}
double
gsl_ran_laplace_pdf (const double x, const double a)
{
double p = (1/(2*a)) * exp (-fabs (x)/a);
return p;
}