/* randist/logistic.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., 675 Mass Ave, Cambridge, MA 02139, USA.
 */

#include <u.h>
#include <libc.h>
#include <stdio.h>
#include "../config.h"
#include "../gsl_types.h"
#include "../sys/gsl_sys.h"
#include "../gsl_machine.h"
#include "../gsl_precision.h"
#include "../gsl_nan.h"
#include "../gsl_pow_int.h"
#include "../gsl_math.h"
#include "../err/gsl_errno.h"
#include "../rng/gsl_rng.h"
#include "gsl_randist.h"
#include "../specfunc/gsl_sf_result.h"
#include "../specfunc/gsl_sf_gamma.h"
#include "../specfunc/gsl_sf_erf.h"

/* The logistic distribution has the form,

   p(x) dx = (1/a) exp(-x/a) / (1 + exp(-x/a))^2 dx

   for -infty < x < infty */

double
gsl_ran_logistic (const gsl_rng * r, const double a)
{
  double x, z;

  do
    {
      x = gsl_rng_uniform_pos (r);
    }
  while (x == 1);

  z = log (x / (1 - x));

  return a * z;
}

double
gsl_ran_logistic_pdf (const double x, const double a)
{
  double u = exp (-fabs(x)/a);
  double p = u / (fabs(a) * (1 + u) * (1 + u));
  return p;
}
