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+/* randist/gumbel.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 Type I Gumbel distribution has the form,
+
+ p(x) dx = a b exp(-(b exp(-ax) + ax)) dx
+
+ and the Type II Gumbel distribution has the form,
+
+ p(x) dx = b a x^-(a+1) exp(-b x^-a)) dx
+
+ */
+
+double
+gsl_ran_gumbel1 (const gsl_rng * r, const double a, const double b)
+{
+ double x = gsl_rng_uniform_pos (r);
+
+ double z = (log(b) - log(-log(x))) / a;
+
+ return z;
+}
+
+double
+gsl_ran_gumbel1_pdf (const double x, const double a, const double b)
+{
+ double p = a * b * exp (-(b * exp(-a * x) + a * x));
+ return p;
+}
+
+double
+gsl_ran_gumbel2 (const gsl_rng * r, const double a, const double b)
+{
+ double x = gsl_rng_uniform_pos (r);
+
+ double z = pow(-b / log(x), 1/a);
+
+ return z;
+}
+
+double
+gsl_ran_gumbel2_pdf (const double x, const double a, const double b)
+{
+ if (x <= 0)
+ {
+ return 0 ;
+ }
+ else
+ {
+ double p = b * a * pow(x,-(a+1)) * exp (-b * pow(x, -a));
+ return p;
+ }
+}
+
+
+
+