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Diffstat (limited to 'gsl-1.9/randist/gumbel.c')
-rw-r--r-- | gsl-1.9/randist/gumbel.c | 78 |
1 files changed, 78 insertions, 0 deletions
diff --git a/gsl-1.9/randist/gumbel.c b/gsl-1.9/randist/gumbel.c new file mode 100644 index 0000000..65aff8d --- /dev/null +++ b/gsl-1.9/randist/gumbel.c @@ -0,0 +1,78 @@ +/* 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; + } +} + + + + |