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neg_binomial_2_cdf_log.hpp
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1 #ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CDF_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CDF_LOG_HPP
3
4 #include <stan/math/prim/scal/err/check_consistent_sizes.hpp>
5 #include <stan/math/prim/scal/err/check_not_nan.hpp>
6 #include <stan/math/prim/scal/err/check_positive_finite.hpp>
7 #include <stan/math/prim/scal/meta/length.hpp>
8 #include <stan/math/prim/scal/meta/VectorBuilder.hpp>
9 #include <stan/math/prim/scal/meta/VectorView.hpp>
10 #include <stan/math/prim/scal/prob/beta_cdf_log.hpp>
11 #include <cmath>
12
13 namespace stan {
14 namespace math {
15
16 template <typename T_n, typename T_location,
17 typename T_precision>
18 typename return_type<T_location, T_precision>::type
19 neg_binomial_2_cdf_log(const T_n& n,
20 const T_location& mu,
21 const T_precision& phi) {
22 using stan::math::check_consistent_sizes;
23 using stan::math::check_positive_finite;
24 using stan::math::check_not_nan;
25 using std::log;
26
27 // check if any vectors are zero length
28 if (!(stan::length(n)
29 && stan::length(mu)
30 && stan::length(phi)))
31 return 0.0;
32
33 static const char* function("stan::math::neg_binomial_2_cdf");
34 check_positive_finite(function, "Location parameter", mu);
35 check_positive_finite(function, "Precision parameter", phi);
36 check_not_nan(function, "Random variable", n);
37 check_consistent_sizes(function,
38 "Random variable", n,
39 "Location parameter", mu,
40 "Precision Parameter", phi);
41
42 VectorView<const T_n> n_vec(n);
43 VectorView<const T_location> mu_vec(mu);
44 VectorView<const T_precision> phi_vec(phi);
45
46 size_t size_phi_mu = max_size(mu, phi);
47 VectorBuilder<true, typename return_type<T_location, T_precision>::type,
48 T_location, T_precision> phi_mu(size_phi_mu);
49 for (size_t i = 0; i < size_phi_mu; i++)
50 phi_mu[i] = phi_vec[i] / (phi_vec[i] + mu_vec[i]);
51
52 size_t size_n = length(n);
53 VectorBuilder<true, typename return_type<T_n>::type,
54 T_n> np1(size_n);
55 for (size_t i = 0; i < size_n; i++)
56 if (n_vec[i] < 0)
57 return log(0.0);
58 else
59 np1[i] = n_vec[i] + 1.0;
60
61 return beta_cdf_log(phi_mu.data(), phi, np1.data());
62 }
63
64 }
65 }
66 #endif
check_not_nan.hpp
stan::math::check_not_nan
bool check_not_nan(const char *function, const char *name, const T_y &y)
Return true if y is not NaN.
Definition: check_not_nan.hpp:63
check_positive_finite.hpp
stan
Definition: log_sum_exp.hpp:8
beta_cdf_log.hpp
stan::math::log
fvar< T > log(const fvar< T > &x)
Definition: log.hpp:15
stan::length
size_t length(const std::vector< T > &x)
Definition: length.hpp:10
VectorView.hpp
stan::max_size
size_t max_size(const T1 &x1, const T2 &x2)
Definition: max_size.hpp:9
VectorBuilder.hpp
stan::math::beta_cdf_log
return_type< T_y, T_scale_succ, T_scale_fail >::type beta_cdf_log(const T_y &y, const T_scale_succ &alpha, const T_scale_fail &beta)
Definition: beta_cdf_log.hpp:35
length.hpp
stan::VectorBuilder
VectorBuilder allocates type T1 values to be used as intermediate values.
Definition: VectorBuilder.hpp:28
stan::math::check_consistent_sizes
bool check_consistent_sizes(const char *function, const char *name1, const T1 &x1, const char *name2, const T2 &x2)
Return true if the dimension of x1 is consistent with x2.
Definition: check_consistent_sizes.hpp:31
stan::VectorBuilder::data
VectorBuilderHelper< T1, used, contains_vector< T2, T3, T4, T5, T6, T7 >::value >::type data()
Definition: VectorBuilder.hpp:42
stan::math::neg_binomial_2_cdf_log
return_type< T_location, T_precision >::type neg_binomial_2_cdf_log(const T_n &n, const T_location &mu, const T_precision &phi)
Definition: neg_binomial_2_cdf_log.hpp:19
stan::VectorView
VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[].
Definition: VectorView.hpp:48
check_consistent_sizes.hpp
stan::math::check_positive_finite
bool check_positive_finite(const char *function, const char *name, const T_y &y)
Return true if y is positive and finite.
Definition: check_positive_finite.hpp:28

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