| /* 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., 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 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; |
| } |