gsl_randist.h

该文件为c++的数学函数库!是一个非常有用的编程工具.它含有各种数学函数,为科学计算、工程应用等程序编写提供方便！

/* randist/gsl_randist.h
 * 
 * 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., 675 Mass Ave, Cambridge, MA 02139, USA.
 */

#ifndef __GSL_RANDIST_H__
#define __GSL_RANDIST_H__
#include <gsl/gsl_rng.h>

#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif

__BEGIN_DECLS

unsigned int gsl_ran_bernoulli (const gsl_rng * r, double p);
double gsl_ran_bernoulli_pdf (const unsigned int k, double p);

double gsl_ran_beta (const gsl_rng * r, const double a, const double b);
double gsl_ran_beta_pdf (const double x, const double a, const double b);

unsigned int gsl_ran_binomial (const gsl_rng * r, double p, unsigned int n);
unsigned int gsl_ran_binomial_tpe (const gsl_rng * r, double pp, unsigned int n);
double gsl_ran_binomial_pdf (const unsigned int k, const double p, const unsigned int n);

double gsl_ran_exponential (const gsl_rng * r, const double mu);
double gsl_ran_exponential_pdf (const double x, const double mu);

double gsl_ran_exppow (const gsl_rng * r, const double a, const double b);
double gsl_ran_exppow_pdf (const double x, const double a, const double b);

double gsl_ran_cauchy (const gsl_rng * r, const double a);
double gsl_ran_cauchy_pdf (const double x, const double a);

double gsl_ran_chisq (const gsl_rng * r, const double nu);
double gsl_ran_chisq_pdf (const double x, const double nu);

void gsl_ran_dirichlet (const gsl_rng * r, const size_t K, const double alpha[], double theta[]);
double gsl_ran_dirichlet_pdf (const size_t K, const double alpha[], const double theta[]);
double gsl_ran_dirichlet_lnpdf (const size_t K, const double alpha[], const double theta[]);

double gsl_ran_erlang (const gsl_rng * r, const double a, const double n);
double gsl_ran_erlang_pdf (const double x, const double a, const double n);

double gsl_ran_fdist (const gsl_rng * r, const double nu1, const double nu2);
double gsl_ran_fdist_pdf (const double x, const double nu1, const double nu2);

double gsl_ran_flat (const gsl_rng * r, const double a, const double b);
double gsl_ran_flat_pdf (double x, const double a, const double b);

double gsl_ran_gamma (const gsl_rng * r, const double a, const double b);
double gsl_ran_gamma_int (const gsl_rng * r, const unsigned int a);
double gsl_ran_gamma_pdf (const double x, const double a, const double b);

double gsl_ran_gaussian (const gsl_rng * r, const double sigma);
double gsl_ran_gaussian_ratio_method (const gsl_rng * r, const double sigma);
double gsl_ran_gaussian_pdf (const double x, const double sigma);

double gsl_ran_ugaussian (const gsl_rng * r);
double gsl_ran_ugaussian_ratio_method (const gsl_rng * r);
double gsl_ran_ugaussian_pdf (const double x);

double gsl_ran_gaussian_tail (const gsl_rng * r, const double a, const double sigma);
double gsl_ran_gaussian_tail_pdf (const double x, const double a, const double sigma);

double gsl_ran_ugaussian_tail (const gsl_rng * r, const double a);
double gsl_ran_ugaussian_tail_pdf (const double x, const double a);

void gsl_ran_bivariate_gaussian (const gsl_rng * r, double sigma_x, double sigma_y, double rho, double *x, double *y);
double gsl_ran_bivariate_gaussian_pdf (const double x, const double y, const double sigma_x, const double sigma_y, const double rho);

double gsl_ran_landau (const gsl_rng * r);
double gsl_ran_landau_pdf (const double x);

unsigned int gsl_ran_geometric (const gsl_rng * r, const double p);
double gsl_ran_geometric_pdf (const unsigned int k, const double p);

unsigned int gsl_ran_hypergeometric (const gsl_rng * r, unsigned int n1, unsigned int n2, unsigned int t);
double gsl_ran_hypergeometric_pdf (const unsigned int k, const unsigned int n1, const unsigned int n2, unsigned int t);

double gsl_ran_gumbel1 (const gsl_rng * r, const double a, const double b);
double gsl_ran_gumbel1_pdf (const double x, const double a, const double b);

double gsl_ran_gumbel2 (const gsl_rng * r, const double a, const double b);
double gsl_ran_gumbel2_pdf (const double x, const double a, const double b);

double gsl_ran_logistic (const gsl_rng * r, const double a);
double gsl_ran_logistic_pdf (const double x, const double a);

double gsl_ran_lognormal (const gsl_rng * r, const double zeta, const double sigma);
double gsl_ran_lognormal_pdf (const double x, const double zeta, const double sigma);

unsigned int gsl_ran_logarithmic (const gsl_rng * r, const double p);
double gsl_ran_logarithmic_pdf (const unsigned int k, const double p);

void gsl_ran_multinomial (const gsl_rng * r, const size_t K,
                          const unsigned int N, const double p[],
                          unsigned int n[] );
double gsl_ran_multinomial_pdf (const size_t K,
                                const double p[], const unsigned int n[] );
double gsl_ran_multinomial_lnpdf (const size_t K,
                           const double p[], const unsigned int n[] );


unsigned int gsl_ran_negative_binomial (const gsl_rng * r, double p, double n);
double gsl_ran_negative_binomial_pdf (const unsigned int k, const double p, double n);

unsigned int gsl_ran_pascal (const gsl_rng * r, double p, unsigned int n);
double gsl_ran_pascal_pdf (const unsigned int k, const double p, unsigned int n);

double gsl_ran_pareto (const gsl_rng * r, double a, const double b);
double gsl_ran_pareto_pdf (const double x, const double a, const double b);

unsigned int gsl_ran_poisson (const gsl_rng * r, double mu);
void gsl_ran_poisson_array (const gsl_rng * r, size_t n, unsigned int array[],
                            double mu);
double gsl_ran_poisson_pdf (const unsigned int k, const double mu);

double gsl_ran_rayleigh (const gsl_rng * r, const double sigma);
double gsl_ran_rayleigh_pdf (const double x, const double sigma);

double gsl_ran_rayleigh_tail (const gsl_rng * r, const double a, const double sigma);
double gsl_ran_rayleigh_tail_pdf (const double x, const double a, const double sigma);

double gsl_ran_tdist (const gsl_rng * r, const double nu);
double gsl_ran_tdist_pdf (const double x, const double nu);

double gsl_ran_laplace (const gsl_rng * r, const double a);
double gsl_ran_laplace_pdf (const double x, const double a);

double gsl_ran_levy (const gsl_rng * r, const double c, const double alpha);
double gsl_ran_levy_skew (const gsl_rng * r, const double c, const double alpha, const double beta);

double gsl_ran_weibull (const gsl_rng * r, const double a, const double b);
double gsl_ran_weibull_pdf (const double x, const double a, const double b);

void gsl_ran_dir_2d (const gsl_rng * r, double * x, double * y);
void gsl_ran_dir_2d_trig_method (const gsl_rng * r, double * x, double * y);
void gsl_ran_dir_3d (const gsl_rng * r, double * x, double * y, double * z);
void gsl_ran_dir_nd (const gsl_rng * r, size_t n, double * x);

void gsl_ran_shuffle (const gsl_rng * r, void * base, size_t nmembm, size_t size);
int gsl_ran_choose (const gsl_rng * r, void * dest, size_t k, void * src, size_t n, size_t size) ;
void gsl_ran_sample (const gsl_rng * r, void * dest, size_t k, void * src, size_t n, size_t size) ;


typedef struct {                /* struct for Walker algorithm */
    size_t K;
    size_t *A;
    double *F;
} gsl_ran_discrete_t;

gsl_ran_discrete_t * gsl_ran_discrete_preproc (size_t K, const double *P);
void gsl_ran_discrete_free(gsl_ran_discrete_t *g);
size_t gsl_ran_discrete (const gsl_rng *r, const gsl_ran_discrete_t *g);
double gsl_ran_discrete_pdf (size_t k, const gsl_ran_discrete_t *g);


__END_DECLS

#endif /* __GSL_RANDIST_H__ */