| /* 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; |
| } |
| } |
| |
| |
| |
| |