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+/* randist/hyperg.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>
+#include <gsl/gsl_sf_gamma.h>
+
+/* The hypergeometric distribution has the form,
+
+ prob(k) = choose(n1,t) choose(n2, t-k) / choose(n1+n2,t)
+
+ where choose(a,b) = a!/(b!(a-b)!)
+
+ n1 + n2 is the total population (tagged plus untagged)
+ n1 is the tagged population
+ t is the number of samples taken (without replacement)
+ k is the number of tagged samples found
+
+*/
+
+unsigned int
+gsl_ran_hypergeometric (const gsl_rng * r, unsigned int n1, unsigned int n2,
+ unsigned int t)
+{
+ const unsigned int n = n1 + n2;
+
+ unsigned int i = 0;
+ unsigned int a = n1;
+ unsigned int b = n1 + n2;
+ unsigned int k = 0;
+
+ if (t > n)
+ {
+ t = n ;
+ }
+
+ if (t < n / 2)
+ {
+ for (i = 0 ; i < t ; i++)
+ {
+ double u = gsl_rng_uniform(r) ;
+
+ if (b * u < a)
+ {
+ k++ ;
+ if (k == n1)
+ return k ;
+ a-- ;
+ }
+ b-- ;
+ }
+ return k;
+ }
+ else
+ {
+ for (i = 0 ; i < n - t ; i++)
+ {
+ double u = gsl_rng_uniform(r) ;
+
+ if (b * u < a)
+ {
+ k++ ;
+ if (k == n1)
+ return n1 - k ;
+ a-- ;
+ }
+ b-- ;
+ }
+ return n1 - k;
+ }
+
+
+}
+
+double
+gsl_ran_hypergeometric_pdf (const unsigned int k,
+ const unsigned int n1,
+ const unsigned int n2,
+ unsigned int t)
+{
+ if (t > n1 + n2)
+ {
+ t = n1 + n2 ;
+ }
+
+ if (k > n1 || k > t)
+ {
+ return 0 ;
+ }
+ else if (t > n2 && k + n2 < t )
+ {
+ return 0 ;
+ }
+ else
+ {
+ double p;
+
+ double c1 = gsl_sf_lnchoose(n1,k);
+ double c2 = gsl_sf_lnchoose(n2,t-k);
+ double c3 = gsl_sf_lnchoose(n1+n2,t);
+
+ p = exp(c1 + c2 - c3) ;
+
+ return p;
+ }
+}