3 #include
"/usr/local/include/gsl/gsl_cdf.h"
6 %include
"/usr/local/include/gsl/gsl_cdf.h"
10 our @EXPORT_OK
= qw
/ gsl_cdf_ugaussian_P gsl_cdf_ugaussian_Q gsl_cdf_ugaussian_Pinv
11 gsl_cdf_ugaussian_Qinv gsl_cdf_gaussian_P gsl_cdf_gaussian_Q
12 gsl_cdf_gaussian_Pinv gsl_cdf_gaussian_Qinv gsl_cdf_gamma_P
13 gsl_cdf_gamma_Q gsl_cdf_gamma_Pinv gsl_cdf_gamma_Qinv
14 gsl_cdf_cauchy_P gsl_cdf_cauchy_Q gsl_cdf_cauchy_Pinv
15 gsl_cdf_cauchy_Qinv gsl_cdf_laplace_P gsl_cdf_laplace_Q
16 gsl_cdf_laplace_Pinv gsl_cdf_laplace_Qinv gsl_cdf_rayleigh_P
17 gsl_cdf_rayleigh_Q gsl_cdf_rayleigh_Pinv gsl_cdf_rayleigh_Qinv
18 gsl_cdf_chisq_P gsl_cdf_chisq_Q gsl_cdf_chisq_Pinv
19 gsl_cdf_chisq_Qinv gsl_cdf_exponential_P gsl_cdf_exponential_Q
20 gsl_cdf_exponential_Pinv gsl_cdf_exponential_Qinv gsl_cdf_exppow_P
21 gsl_cdf_exppow_Q gsl_cdf_tdist_P gsl_cdf_tdist_Q
22 gsl_cdf_tdist_Pinv gsl_cdf_tdist_Qinv gsl_cdf_fdist_P
23 gsl_cdf_fdist_Q gsl_cdf_fdist_Pinv gsl_cdf_fdist_Qinv
24 gsl_cdf_beta_P gsl_cdf_beta_Q gsl_cdf_beta_Pinv
25 gsl_cdf_beta_Qinv gsl_cdf_flat_P gsl_cdf_flat_Q
26 gsl_cdf_flat_Pinv gsl_cdf_flat_Qinv gsl_cdf_lognormal_P
27 gsl_cdf_lognormal_Q gsl_cdf_lognormal_Pinv gsl_cdf_lognormal_Qinv
28 gsl_cdf_gumbel1_P gsl_cdf_gumbel1_Q gsl_cdf_gumbel1_Pinv
29 gsl_cdf_gumbel1_Qinv gsl_cdf_gumbel2_P gsl_cdf_gumbel2_Q
30 gsl_cdf_gumbel2_Pinv gsl_cdf_gumbel2_Qinv gsl_cdf_weibull_P
31 gsl_cdf_weibull_Q gsl_cdf_weibull_Pinv gsl_cdf_weibull_Qinv
32 gsl_cdf_pareto_P gsl_cdf_pareto_Q gsl_cdf_pareto_Pinv
33 gsl_cdf_pareto_Qinv gsl_cdf_logistic_P gsl_cdf_logistic_Q
34 gsl_cdf_logistic_Pinv gsl_cdf_logistic_Qinv gsl_cdf_binomial_P
35 gsl_cdf_binomial_Q gsl_cdf_poisson_P gsl_cdf_poisson_Q
36 gsl_cdf_geometric_P gsl_cdf_geometric_Q gsl_cdf_negative_binomial_P
37 gsl_cdf_negative_binomial_Q gsl_cdf_pascal_P gsl_cdf_pascal_Q
38 gsl_cdf_hypergeometric_P gsl_cdf_hypergeometric_Q
40 our
%EXPORT_TAGS
= ( all
=> [ @EXPORT_OK
], geometric
=> [ gsl_cdf_geometric_P
, gsl_cdf_geometric_Q
], tdist
=> [ gsl_cdf_tdist_P
, gsl_cdf_tdist_Q
, gsl_cdf_tdist_Pinv
, gsl_cdf_tdist_Qinv
], ugaussian
=> [ gsl_cdf_ugaussian_P
, gsl_cdf_ugaussian_Q
, gsl_cdf_ugaussian_Pinv
, gsl_cdf_ugaussian_Qinv
], rayleigh
=> [ gsl_cdf_rayleigh_P
, gsl_cdf_rayleigh_Q
, gsl_cdf_rayleigh_Pinv
, gsl_cdf_rayleigh_Qinv
], pascal
=> [ gsl_cdf_pascal_P
, gsl_cdf_pascal_Q
], exponential
=> [ gsl_cdf_exponential_P
, gsl_cdf_exponential_Q
, gsl_cdf_exponential_Pinv
, gsl_cdf_exponential_Qinv
], gumbel2
=> [ gsl_cdf_gumbel2_P
, gsl_cdf_gumbel2_Q
, gsl_cdf_gumbel2_Pinv
, gsl_cdf_gumbel2_Qinv
], gumbel1
=> [ gsl_cdf_gumbel1_P
, gsl_cdf_gumbel1_Q
, gsl_cdf_gumbel1_Pinv
, gsl_cdf_gumbel1_Qinv
], exppow
=> [ gsl_cdf_exppow_P
, gsl_cdf_exppow_Q
], logistic
=> [ gsl_cdf_logistic_P
, gsl_cdf_logistic_Q
, gsl_cdf_logistic_Pinv
, gsl_cdf_logistic_Qinv
], weibull
=> [ gsl_cdf_weibull_P
, gsl_cdf_weibull_Q
, gsl_cdf_weibull_Pinv
, gsl_cdf_weibull_Qinv
], gaussian
=> [ gsl_cdf_gaussian_P
, gsl_cdf_gaussian_Q
, gsl_cdf_gaussian_Pinv
, gsl_cdf_gaussian_Qinv
], poisson
=> [ gsl_cdf_poisson_P
, gsl_cdf_poisson_Q
], beta
=> [ gsl_cdf_beta_P
, gsl_cdf_beta_Q
, gsl_cdf_beta_Pinv
, gsl_cdf_beta_Qinv
], binomial
=> [ gsl_cdf_binomial_P
, gsl_cdf_binomial_Q
], laplace
=> [ gsl_cdf_laplace_P
, gsl_cdf_laplace_Q
, gsl_cdf_laplace_Pinv
, gsl_cdf_laplace_Qinv
], lognormal
=> [ gsl_cdf_lognormal_P
, gsl_cdf_lognormal_Q
, gsl_cdf_lognormal_Pinv
, gsl_cdf_lognormal_Qinv
], cauchy
=> [ gsl_cdf_cauchy_P
, gsl_cdf_cauchy_Q
, gsl_cdf_cauchy_Pinv
, gsl_cdf_cauchy_Qinv
], fdist
=> [ gsl_cdf_fdist_P
, gsl_cdf_fdist_Q
, gsl_cdf_fdist_Pinv
, gsl_cdf_fdist_Qinv
], chisq
=> [ gsl_cdf_chisq_P
, gsl_cdf_chisq_Q
, gsl_cdf_chisq_Pinv
, gsl_cdf_chisq_Qinv
], gamma
=> [ gsl_cdf_gamma_P
, gsl_cdf_gamma_Q
, gsl_cdf_gamma_Pinv
, gsl_cdf_gamma_Qinv
], hypergeometric
=> [ gsl_cdf_hypergeometric_P
, gsl_cdf_hypergeometric_Q
], negative
=> [ gsl_cdf_negative_binomial_P
, gsl_cdf_negative_binomial_Q
], pareto
=> [ gsl_cdf_pareto_P
, gsl_cdf_pareto_Q
, gsl_cdf_pareto_Pinv
, gsl_cdf_pareto_Qinv
], flat
=> [ gsl_cdf_flat_P
, gsl_cdf_flat_Q
, gsl_cdf_flat_Pinv
, gsl_cdf_flat_Qinv
]);
47 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the named distributions.
51 use Math
::GSL
::CDF qw
/:all
/;
55 Here is a list of all the functions included in this module
:
57 gsl_cdf_ugaussian_P
($x
)
58 gsl_cdf_ugaussian_Q
($x
)
59 gsl_cdf_ugaussian_Pinv
($P
)
60 gsl_cdf_ugaussian_Qinv
($Q
)
61 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the unit Gaussian distribution.
63 gsl_cdf_gaussian_P
($x
, $sigma
)
64 gsl_cdf_gaussian_Q
($x
, $sigma
)
65 gsl_cdf_gaussian_Pinv
($P
, $sigma
)
66 gsl_cdf_gaussian_Qinv
($Q
, $sigma
)
67 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Gaussian distribution with standard deviation $sigma.
69 gsl_cdf_gamma_P
($x
, $a
, $b
)
70 gsl_cdf_gamma_Q
($x
, $a
, $b
)
71 gsl_cdf_gamma_Pinv
($P
, $a
, $b
)
72 gsl_cdf_gamma_Qinv
($Q
, $a
, $b
)
73 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the gamma distribution with parameters $a and $b.
75 gsl_cdf_cauchy_P
($x
, $a
)
76 gsl_cdf_cauchy_Q
($x
, $a
)
77 gsl_cdf_cauchy_Pinv
($P
, $a
)
78 gsl_cdf_cauchy_Qinv
($Q
, $a
)
79 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Cauchy distribution with scale parameter $a.
81 gsl_cdf_laplace_P
($x
, $a
)
82 gsl_cdf_laplace_Q
($x
, $a
)
83 gsl_cdf_laplace_Pinv
($P
, $a
)
84 gsl_cdf_laplace_Qinv
($Q
, $a
)
85 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Laplace distribution with width $a.
87 gsl_cdf_rayleigh_P
($x
, $sigma
)
88 gsl_cdf_rayleigh_Q
($x
, $sigma
)
89 gsl_cdf_rayleigh_Pinv
($P
, $sigma
)
90 gsl_cdf_rayleigh_Qinv
($Q
, $sigma
)
91 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Rayleigh distribution with scale parameter $sigma.
93 gsl_cdf_chisq_P
($x
, $nu
)
94 gsl_cdf_chisq_Q
($x
, $nu
)
95 gsl_cdf_chisq_Pinv
($P
, $nu
)
96 gsl_cdf_chisq_Qinv
($Q
, $nu
)
97 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the chi-squared distribution with $nu degrees of freedom.
99 gsl_cdf_exponential_P
($x
, $mu
)
100 gsl_cdf_exponential_Q
($x
, $mu
)
101 gsl_cdf_exponential_Pinv
($P
, $mu
)
102 gsl_cdf_exponential_Qinv
($Q
, $mu
)
103 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Laplace distribution with width $a.
105 gsl_cdf_exppow_P
($x
, $a
, $b
)
106 gsl_cdf_exppow_Q
($x
, $a
, $b
)
107 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) for the exponential power distribution with parameters $a and $b.
109 gsl_cdf_tdist_P
($x
, $nu
)
110 gsl_cdf_tdist_Q
($x
, $nu
)
111 gsl_cdf_tdist_Pinv
($P
, $nu
)
112 gsl_cdf_tdist_Qinv
($Q
, $nu
)
113 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the t-distribution with $nu degrees of freedom.
115 gsl_cdf_fdist_P
($x
, $nu1
, $nu2
)
116 gsl_cdf_fdist_Q
($x
, $nu1
, $nu2
)
117 gsl_cdf_fdist_Pinv
($P
, $nu1
, $nu2
)
118 gsl_cdf_fdist_Qinv
($Q
, $nu1
, $nu2
)
119 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the F-distribution with $nu1 and $nu2 degrees of freedom.
121 gsl_cdf_beta_P
($x
, $a
, $b
)
122 gsl_cdf_beta_Q
($x
, $a
, $b
)
123 gsl_cdf_beta_Pinv
($P
, $a
, $b
)
124 gsl_cdf_beta_Qinv
($Q
, $a
, $b
)
125 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the beta distribution with parameters $a and $b.
127 gsl_cdf_flat_P
($x
, $a
, $b
)
128 gsl_cdf_flat_Q
($x
, $a
, $b
)
129 gsl_cdf_flat_Pinv
($P
, $a
, $b
)
130 gsl_cdf_flat_Qinv
($Q
, $a
, $b
)
131 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for a uniform distribution from $a to $b.
133 gsl_cdf_lognormal_P
($x
, $zeta
, $sigma
)
134 gsl_cdf_lognormal_Q
($x
, $zeta
, $sigma
)
135 gsl_cdf_lognormal_Pinv
($P
, $zeta
, $sigma
)
136 gsl_cdf_lognormal_Qinv
($Q
, $zeta
, $sigma
)
137 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the lognormal distribution with parameters $zeta and $sigma.
139 gsl_cdf_gumbel1_P
($x
, $a
, $b
)
140 gsl_cdf_gumbel1_Q
($x
, $a
, $b
)
141 gsl_cdf_gumbel1_Pinv
($P
, $a
, $b
)
142 gsl_cdf_gumbel1_Qinv
($Q
, $a
, $b
)
143 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Type-1 Gumbel distribution with parameters $a and $b.
145 gsl_cdf_gumbel2_P
($x
, $a
, $b
)
146 gsl_cdf_gumbel2_Q
($x
, $a
, $b
)
147 gsl_cdf_gumbel2_Pinv
($P
, $a
, $b
)
148 gsl_cdf_gumbel2_Qinv
($Q
, $a
, $b
)
149 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Type-2 Gumbel distribution with parameters $a and $b.
151 gsl_cdf_weibull_P
($x
, $a
, $b
)
152 gsl_cdf_weibull_Q
($x
, $a
, $b
)
153 gsl_cdf_weibull_Pinv
($P
, $a
, $b
)
154 gsl_cdf_weibull_Qinv
($Q
, $a
, $b
)
155 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Type-1 Gumbel distribution with parameters $a and $b.
157 gsl_cdf_pareto_P
($x
, $a
, $b
)
158 gsl_cdf_pareto_Q
($x
, $a
, $b
)
159 gsl_cdf_pareto_Pinv
($P
, $a
, $b
)
160 gsl_cdf_pareto_Qinv
($Q
, $a
, $b
)
161 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the Pareto distribution with exponent $a and scale $b.
163 gsl_cdf_logistic_P
($x
, $a
)
164 gsl_cdf_logistic_Q
($x
, $a
)
165 gsl_cdf_logistic_Pinv
($P
, $a
)
166 gsl_cdf_logistic_Qinv
($Q
, $a
)
167 - These functions compute the cumulative distribution functions P
(x
), Q
(x
) and their inverses for the logistic distribution with scale parameter a.
169 gsl_cdf_binomial_P
($k
, $p
, $n
)
170 gsl_cdf_binomial_Q
($k
, $p
, $n
)
171 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the binomial distribution with parameters $p and $n.
173 gsl_cdf_poisson_P
($k
, $mu
)
174 gsl_cdf_poisson_Q
($k
, $mu
)
175 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the Poisson distribution with parameter $mu.
177 gsl_cdf_geometric_P
($k
, $p
)
178 gsl_cdf_geometric_Q
($k
, $p
)
179 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the geometric distribution with parameter $p.
181 gsl_cdf_negative_binomial_P
($k
, $p
, $n
)
182 gsl_cdf_negative_binomial_Q
($k
, $p
, $n
)
183 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the negative binomial distribution with parameters $p and $n.
185 gsl_cdf_pascal_P
($k
, $p
, $n
)
186 gsl_cdf_pascal_Q
($k
, $p
, $n
)
187 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the Pascal distribution with parameters $p and $n.
189 gsl_cdf_hypergeometric_P
($k
, $n1
, $n2
, $t
)
190 gsl_cdf_hypergeometric_Q
($k
, $n1
, $n2
, $t
)
191 - These functions compute the cumulative distribution functions P
(k
), Q
(k
) for the hypergeometric distribution with parameters $n1
, $n2 and $t.
194 You have to add the functions you want to use inside the qw
/put_funtion_here
/ with spaces between each function. You can also write use Math
::GSL
::CDF qw
/:all
/ to use all avaible functions of the module. Other tags are also avaible
, here is a complete list of all tags for this module
:
222 For example the beta tag contains theses functions
: gsl_cdf_beta_P
, gsl_cdf_beta_Q
, gsl_cdf_beta_Pinv
, gsl_cdf_beta_Qinv.
224 For more informations on the functions
, we refer you to the GSL offcial documentation
: http
://www.gnu.org
/software
/gsl
/manual
/html_node
/
225 Tip
: search on google
: site
:http
://www.gnu.org
/software
/gsl
/manual
/html_node
/ name_of_the_function_you_want
231 use Math
::GSL
::CDF qw
/:beta
/;
232 print gsl_cdf_beta_P
(1,2,3) .
"\n";
235 example using functions
:
237 use Math
::GSL
::CDF qw
/gsl_cdf_laplace_P gsl_cdf_laplace_Q
/;
239 print gsl_cdf_laplace_P
(2,3).
"\n";
240 print gsl_cdf_laplace_Q
(2,3).
"\n";
244 Jonathan Leto
<jonathan@leto.net
> and Thierry Moisan
<thierry.moisan@gmail.com
>
246 =head1 COPYRIGHT
AND LICENSE
248 Copyright
(C
) 2008 Jonathan Leto and Thierry Moisan
250 This program is free software
; you can redistribute it and
/or modify it
251 under the same terms as Perl itself.