GSL 1.1.0

A rust binding for the GSL (the GNU scientific library)
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258

//! Random distributions

use libc::{c_double, c_uint, c_void, size_t, c_int};

use super::{gsl_rng, gsl_ran_discrete_t};

extern "C" {
    // Random Number Distributions
    // The Gaussian Distribution
    pub fn gsl_ran_gaussian(r: *mut gsl_rng, sigma: c_double) -> c_double;
    pub fn gsl_ran_gaussian_pdf(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_ran_gaussian_ziggurat(r: *mut gsl_rng, sigma: c_double) -> c_double;
    pub fn gsl_ran_gaussian_ratio_method(r: *mut gsl_rng, sigma: c_double) -> c_double;
    pub fn gsl_ran_ugaussian(r: *mut gsl_rng) -> c_double;
    pub fn gsl_ran_ugaussian_pdf(x: c_double) -> c_double;
    pub fn gsl_ran_ugaussian_ratio_method(r: *mut gsl_rng) -> c_double;
    pub fn gsl_cdf_gaussian_P(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_gaussian_Q(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_gaussian_Pinv(P: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_gaussian_Qinv(Q: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_ugaussian_P(x: c_double) -> c_double;
    pub fn gsl_cdf_ugaussian_Q(x: c_double) -> c_double;
    pub fn gsl_cdf_ugaussian_Pinv(P: c_double) -> c_double;
    pub fn gsl_cdf_ugaussian_Qinv(Q: c_double) -> c_double;
    // The Gaussian Tail Distribution
    pub fn gsl_ran_gaussian_tail(r: *mut gsl_rng, a: c_double, sigma: c_double) -> c_double;
    pub fn gsl_ran_gaussian_tail_pdf(x: c_double, a: c_double, sigma: c_double) -> c_double;
    pub fn gsl_ran_ugaussian_tail(r: *mut gsl_rng, a: c_double) -> c_double;
    pub fn gsl_ran_ugaussian_tail_pdf(x: c_double, a: c_double) -> c_double;
    // The Bivariate Gaussian Distribution
    pub fn gsl_ran_bivariate_gaussian(r: *mut gsl_rng,
                                      sigma_x: c_double,
                                      sigma_y: c_double,
                                      rho: c_double,
                                      x: *mut c_double,
                                      y: *mut c_double);
    pub fn gsl_ran_bivariate_gaussian_pdf(x: c_double,
                                          y: c_double,
                                          sigma_x: c_double,
                                          sigma_y: c_double,
                                          rho: c_double)
                                          -> c_double;
    // The Exponential Distribution
    pub fn gsl_ran_exponential(r: *mut gsl_rng, mu: c_double) -> c_double;
    pub fn gsl_ran_exponential_pdf(x: c_double, mu: c_double) -> c_double;
    pub fn gsl_cdf_exponential_P(x: c_double, mu: c_double) -> c_double;
    pub fn gsl_cdf_exponential_Q(x: c_double, mu: c_double) -> c_double;
    pub fn gsl_cdf_exponential_Pinv(P: c_double, mu: c_double) -> c_double;
    pub fn gsl_cdf_exponential_Qinv(Q: c_double, mu: c_double) -> c_double;
    // The Laplace Distribution
    pub fn gsl_ran_laplace(r: *mut gsl_rng, a: c_double) -> c_double;
    pub fn gsl_ran_laplace_pdf(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_laplace_P(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_laplace_Q(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_laplace_Pinv(P: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_laplace_Qinv(Q: c_double, a: c_double) -> c_double;
    // The Exponential Power Distribution
    pub fn gsl_ran_exppow(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_exppow_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_exppow_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_exppow_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    // The Cauchy Distribution
    pub fn gsl_ran_cauchy(r: *mut gsl_rng, a: c_double) -> c_double;
    pub fn gsl_ran_cauchy_pdf(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_cauchy_P(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_cauchy_Q(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_cauchy_Pinv(P: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_cauchy_Qinv(Q: c_double, a: c_double) -> c_double;
    // The Rayleigh Distribution
    pub fn gsl_ran_rayleigh(r: *mut gsl_rng, sigma: c_double) -> c_double;
    pub fn gsl_ran_rayleigh_pdf(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_rayleigh_P(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_rayleigh_Q(x: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_rayleigh_Pinv(P: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_rayleigh_Qinv(Q: c_double, sigma: c_double) -> c_double;
    // The Rayleigh Tail Distribution
    pub fn gsl_ran_rayleigh_tail(r: *mut gsl_rng, a: c_double, sigma: c_double) -> c_double;
    pub fn gsl_ran_rayleigh_tail_pdf(x: c_double, a: c_double, sigma: c_double) -> c_double;
    // The Landau Distribution
    pub fn gsl_ran_landau(r: *mut gsl_rng) -> c_double;
    pub fn gsl_ran_landau_pdf(x: c_double) -> c_double;
    // The Levy alpha-Stable Distributions
    pub fn gsl_ran_levy(r: *mut gsl_rng, c: c_double, alpha: c_double) -> c_double;
    // The Levy skew alpha-Stable Distribution
    pub fn gsl_ran_levy_skew(r: *mut gsl_rng,
                             c: c_double,
                             alpha: c_double,
                             beta: c_double)
                             -> c_double;
    // The Gamma Distribution
    pub fn gsl_ran_gamma(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_gamma_knuth(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_gamma_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gamma_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gamma_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gamma_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gamma_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Flat (Uniform) Distribution
    pub fn gsl_ran_flat(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_flat_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_flat_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_flat_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_flat_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_flat_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Lognormal Distribution
    pub fn gsl_ran_lognormal(r: *mut gsl_rng, zeta: c_double, sigma: c_double) -> c_double;
    pub fn gsl_ran_lognormal_pdf(x: c_double, zeta: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_lognormal_P(x: c_double, zeta: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_lognormal_Q(x: c_double, zeta: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_lognormal_Pinv(P: c_double, zeta: c_double, sigma: c_double) -> c_double;
    pub fn gsl_cdf_lognormal_Qinv(Q: c_double, zeta: c_double, sigma: c_double) -> c_double;
    // The Chi-squared Distribution
    pub fn gsl_ran_chisq(r: *mut gsl_rng, nu: c_double) -> c_double;
    pub fn gsl_ran_chisq_pdf(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_chisq_P(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_chisq_Q(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_chisq_Pinv(P: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_chisq_Qinv(Q: c_double, nu: c_double) -> c_double;
    // The F-distribution
    pub fn gsl_ran_fdist(r: *mut gsl_rng, nu1: c_double, nu2: c_double) -> c_double;
    pub fn gsl_ran_fdist_pdf(x: c_double, nu1: c_double, nu2: c_double) -> c_double;
    pub fn gsl_cdf_fdist_P(x: c_double, nu1: c_double, nu2: c_double) -> c_double;
    pub fn gsl_cdf_fdist_Q(x: c_double, nu1: c_double, nu2: c_double) -> c_double;
    pub fn gsl_cdf_fdist_Pinv(P: c_double, nu1: c_double, nu2: c_double) -> c_double;
    pub fn gsl_cdf_fdist_Qinv(Q: c_double, nu1: c_double, nu2: c_double) -> c_double;
    // The t-distribution
    pub fn gsl_ran_tdist(r: *mut gsl_rng, nu: c_double) -> c_double;
    pub fn gsl_ran_tdist_pdf(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_tdist_P(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_tdist_Q(x: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_tdist_Pinv(P: c_double, nu: c_double) -> c_double;
    pub fn gsl_cdf_tdist_Qinv(Q: c_double, nu: c_double) -> c_double;
    // The Beta Distribution
    pub fn gsl_ran_beta(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_beta_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_beta_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_beta_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_beta_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_beta_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Logistic Distribution
    pub fn gsl_ran_logistic(r: *mut gsl_rng, a: c_double) -> c_double;
    pub fn gsl_ran_logistic_pdf(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_logistic_P(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_logistic_Q(x: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_logistic_Pinv(P: c_double, a: c_double) -> c_double;
    pub fn gsl_cdf_logistic_Qinv(Q: c_double, a: c_double) -> c_double;
    // The Pareto Distribution
    pub fn gsl_ran_pareto(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_pareto_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_pareto_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_pareto_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_pareto_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_pareto_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // Spherical Vector Distributions
    pub fn gsl_ran_dir_2d(r: *mut gsl_rng, x: *mut c_double, y: *mut c_double);
    pub fn gsl_ran_dir_2d_trig_method(r: *mut gsl_rng, x: *mut c_double, y: *mut c_double);
    pub fn gsl_ran_dir_3d(r: *mut gsl_rng, x: *mut c_double, y: *mut c_double, z: *mut c_double);
    pub fn gsl_ran_dir_nd(r: *mut gsl_rng, n: size_t, x: *mut c_double);
    // The Weibull Distribution
    pub fn gsl_ran_weibull(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_weibull_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_weibull_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_weibull_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_weibull_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_weibull_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Type-1 Gumbel Distribution
    pub fn gsl_ran_gumbel1(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_gumbel1_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel1_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel1_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel1_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel1_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Type-2 Gumbel Distribution
    pub fn gsl_ran_gumbel2(r: *mut gsl_rng, a: c_double, b: c_double) -> c_double;
    pub fn gsl_ran_gumbel2_pdf(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel2_P(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel2_Q(x: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel2_Pinv(P: c_double, a: c_double, b: c_double) -> c_double;
    pub fn gsl_cdf_gumbel2_Qinv(Q: c_double, a: c_double, b: c_double) -> c_double;
    // The Dirichlet Distribution
    pub fn gsl_ran_dirichlet(r: *mut gsl_rng,
                             K: size_t,
                             alpha: *const c_double,
                             theta: *mut c_double);
    pub fn gsl_ran_dirichlet_pdf(K: size_t,
                                 alpha: *const c_double,
                                 theta: *const c_double)
                                 -> c_double;
    pub fn gsl_ran_dirichlet_lnpdf(K: size_t,
                                   alpha: *const c_double,
                                   theta: *const c_double)
                                   -> c_double;
    // General Discrete Distributions
    pub fn gsl_ran_discrete_preproc(K: size_t, P: *const c_double) -> *mut gsl_ran_discrete_t;
    pub fn gsl_ran_discrete(r: *mut gsl_rng, g: *const gsl_ran_discrete_t) -> size_t;
    pub fn gsl_ran_discrete_pdf(k: size_t, g: *const gsl_ran_discrete_t) -> c_double;
    pub fn gsl_ran_discrete_free(g: *mut gsl_ran_discrete_t);
    // The Poisson Distribution
    pub fn gsl_ran_poisson(r: *mut gsl_rng, mu: c_double) -> c_uint;
    pub fn gsl_ran_poisson_pdf(k: c_uint, mu: c_double) -> c_double;
    pub fn gsl_cdf_poisson_P(k: c_uint, mu: c_double) -> c_double;
    pub fn gsl_cdf_poisson_Q(k: c_uint, mu: c_double) -> c_double;
    // The Bernoulli Distribution
    pub fn gsl_ran_bernoulli(r: *mut gsl_rng, p: c_double) -> c_uint;
    pub fn gsl_ran_bernoulli_pdf(k: c_uint, p: c_double) -> c_double;
    // The Binomial Distribution
    pub fn gsl_ran_binomial(r: *mut gsl_rng, p: c_double, n: c_uint) -> c_uint;
    pub fn gsl_ran_binomial_pdf(k: c_uint, p: c_double, n: c_uint) -> c_double;
    pub fn gsl_cdf_binomial_P(k: c_uint, p: c_double, n: c_uint) -> c_double;
    pub fn gsl_cdf_binomial_Q(k: c_uint, p: c_double, n: c_uint) -> c_double;
    // The Multinomial Distribution
    pub fn gsl_ran_multinomial(r: *mut gsl_rng,
                               K: size_t,
                               N: c_uint,
                               p: *const c_double,
                               n: *mut c_uint);
    pub fn gsl_ran_multinomial_pdf(K: size_t, p: *const c_double, n: *const c_uint) -> c_double;
    pub fn gsl_ran_multinomial_lnpdf(K: size_t, p: *const c_double, n: *const c_uint) -> c_double;
    // The Negative Binomial Distribution
    pub fn gsl_ran_negative_binomial(r: *mut gsl_rng, p: c_double, n: c_double) -> c_uint;
    pub fn gsl_ran_negative_binomial_pdf(k: c_uint, p: c_double, n: c_double) -> c_double;
    pub fn gsl_cdf_negative_binomial_P(k: c_uint, p: c_double, n: c_double) -> c_double;
    pub fn gsl_cdf_negative_binomial_Q(k: c_uint, p: c_double, n: c_double) -> c_double;
    // The Pascal Distribution
    pub fn gsl_ran_pascal(r: *mut gsl_rng, p: c_double, n: c_uint) -> c_uint;
    pub fn gsl_ran_pascal_pdf(k: c_uint, p: c_double, n: c_uint) -> c_double;
    pub fn gsl_cdf_pascal_P(k: c_uint, p: c_double, n: c_uint) -> c_double;
    pub fn gsl_cdf_pascal_Q(k: c_uint, p: c_double, n: c_uint) -> c_double;
    // The Geometric Distribution
    pub fn gsl_ran_geometric(r: *mut gsl_rng, p: c_double) -> c_uint;
    pub fn gsl_ran_geometric_pdf(k: c_uint, p: c_double) -> c_double;
    pub fn gsl_cdf_geometric_P(k: c_uint, p: c_double) -> c_double;
    pub fn gsl_cdf_geometric_Q(k: c_uint, p: c_double) -> c_double;
    // The Hypergeometric Distribution
    pub fn gsl_ran_hypergeometric(r: *mut gsl_rng, n1: c_uint, n2: c_uint, t: c_uint) -> c_uint;
    pub fn gsl_ran_hypergeometric_pdf(k: c_uint, n1: c_uint, n2: c_uint, t: c_uint) -> c_double;
    pub fn gsl_cdf_hypergeometric_P(k: c_uint, n1: c_uint, n2: c_uint, t: c_uint) -> c_double;
    pub fn gsl_cdf_hypergeometric_Q(k: c_uint, n1: c_uint, n2: c_uint, t: c_uint) -> c_double;
    // The Logarithmic Distribution
    pub fn gsl_ran_logarithmic(r: *mut gsl_rng, p: c_double) -> c_uint;
    pub fn gsl_ran_logarithmic_pdf(k: c_uint, p: c_double) -> c_double;
    // Shuffling and Sampling
    pub fn gsl_ran_shuffle(r: *mut gsl_rng, base: *mut c_void, n: size_t, size: size_t);
    pub fn gsl_ran_choose(r: *mut gsl_rng,
                          dest: *mut c_void,
                          k: size_t,
                          src: *mut c_void,
                          n: size_t,
                          size: size_t)
                          -> c_int;
    pub fn gsl_ran_sample(r: *mut gsl_rng,
                          dest: *mut c_void,
                          k: size_t,
                          src: *mut c_void,
                          n: size_t,
                          size: size_t)
                          -> c_int;
}