1 #ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOG_HPP
24 #include <boost/random/binomial_distribution.hpp>
25 #include <boost/random/variate_generator.hpp>
33 template <
bool propto,
37 typename return_type<T_prob>::type
40 const T_prob& theta) {
44 static const char*
function(
"stan::math::binomial_log");
59 T_partials_return logp = 0;
63 check_bounded(
function,
"Probability parameter", theta, 0.0, 1.0);
65 "Successes variable", n,
66 "Population size parameter", N,
67 "Probability parameter", theta);
87 for (
size_t i = 0; i <
size; ++i)
92 for (
size_t i = 0; i <
length(theta); ++i)
96 for (
size_t i = 0; i <
size; ++i)
98 + (N_vec[i] - n_vec[i]) * log1m_theta[i];
101 T_partials_return temp1 = 0;
102 T_partials_return temp2 = 0;
103 for (
size_t i = 0; i <
size; ++i) {
105 temp2 += N_vec[i] - n_vec[i];
108 operands_and_partials.
d_x1[0]
110 - temp2 / (1.0 -
value_of(theta_vec[0]));
114 for (
size_t i = 0; i <
size; ++i)
115 operands_and_partials.
d_x1[i]
116 += n_vec[i] /
value_of(theta_vec[i])
117 - (N_vec[i] - n_vec[i]) / (1.0 -
value_of(theta_vec[i]));
121 return operands_and_partials.
value(logp);
124 template <
typename T_n,
131 const T_prob& theta) {
132 return binomial_log<false>(n, N, theta);
fvar< T > binomial_coefficient_log(const fvar< T > &x1, const fvar< T > &x2)
T value_of(const fvar< T > &v)
Return the value of the specified variable.
T_return_type value(double value)
Returns a T_return_type with the value specified with the partial derivatves.
size_t length(const std::vector< T > &x)
bool check_bounded(const char *function, const char *name, const T_y &y, const T_low &low, const T_high &high)
Return true if the value is between the low and high values, inclusively.
return_type< T_prob >::type binomial_log(const T_n &n, const T_N &N, const T_prob &theta)
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
boost::math::tools::promote_args< typename scalar_type< T1 >::type, typename scalar_type< T2 >::type, typename scalar_type< T3 >::type, typename scalar_type< T4 >::type, typename scalar_type< T5 >::type, typename scalar_type< T6 >::type >::type type
Metaprogram to determine if a type has a base scalar type that can be assigned to type double...
This class builds partial derivatives with respect to a set of operands.
size_t max_size(const T1 &x1, const T2 &x2)
bool check_finite(const char *function, const char *name, const T_y &y)
Return true if y is finite.
fvar< T > multiply_log(const fvar< T > &x1, const fvar< T > &x2)
VectorBuilder allocates type T1 values to be used as intermediate values.
int size(const std::vector< T > &x)
Return the size of the specified standard vector.
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.
bool check_nonnegative(const char *function, const char *name, const T_y &y)
Return true if y is non-negative.
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[].
boost::math::tools::promote_args< typename partials_type< typename scalar_type< T1 >::type >::type, typename partials_type< typename scalar_type< T2 >::type >::type, typename partials_type< typename scalar_type< T3 >::type >::type, typename partials_type< typename scalar_type< T4 >::type >::type, typename partials_type< typename scalar_type< T5 >::type >::type, typename partials_type< typename scalar_type< T6 >::type >::type >::type type
fvar< T > log1m(const fvar< T > &x)
VectorView< T_return_type, false, true > d_x1