/* randist/pascal.c

 * 

 * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 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 3 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 Pascal distribution is a negative binomial with valued integer n

   prob(k) =  (n - 1 + k)!/(n!(k - 1)!) *  p^n (1-p)^k for k = 0, 1, ..., n

   */

unsigned int

gsl_ran_pascal (const gsl_rng * r, double p, unsigned int n)

{

  /* This is a separate interface for the pascal distribution so that

     it can be optimized differently from the negative binomial in

     future.

     e.g. if n < 10 it might be faster to generate the Pascal

     distributions as the sum of geometric variates directly.  */

  unsigned int k = gsl_ran_negative_binomial (r, p, (double) n);

  return k;

}

double

gsl_ran_pascal_pdf (const unsigned int k, const double p, unsigned int n)

{

  double P = gsl_ran_negative_binomial_pdf (k, p, (double) n);

  return P;

}