1 #ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP
18 #include <boost/math/special_functions/fpclassify.hpp>
19 #include <boost/random/poisson_distribution.hpp>
20 #include <boost/random/variate_generator.hpp>
29 template <
bool propto,
30 typename T_n,
typename T_log_rate>
31 typename return_type<T_log_rate>::type
36 static const char*
function(
"stan::math::poisson_log_log");
53 T_partials_return logp(0.0);
60 "Log rate parameter", alpha);
72 for (
size_t i = 0; i <
size; i++)
73 if (std::numeric_limits<double>::infinity() == alpha_vec[i])
75 for (
size_t i = 0; i <
size; i++)
76 if (-std::numeric_limits<double>::infinity() == alpha_vec[i]
85 T_partials_return, T_log_rate>
87 for (
size_t i = 0; i <
length(alpha); i++)
92 for (
size_t i = 0; i <
size; i++) {
93 if (!(alpha_vec[i] == -std::numeric_limits<double>::infinity()
96 logp -=
lgamma(n_vec[i] + 1.0);
98 logp += n_vec[i] *
value_of(alpha_vec[i]) - exp_alpha[i];
103 operands_and_partials.
d_x1[i] += n_vec[i] - exp_alpha[i];
105 return operands_and_partials.
value(logp);
108 template <
typename T_n,
113 return poisson_log_log<false>(n, alpha);
return_type< T_log_rate >::type poisson_log_log(const T_n &n, const T_log_rate &alpha)
fvar< T > lgamma(const fvar< T > &x)
bool check_not_nan(const char *function, const char *name, const T_y &y)
Return true if y is not NaN.
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)
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...
fvar< T > exp(const fvar< T > &x)
This class builds partial derivatives with respect to a set of operands.
size_t max_size(const T1 &x1, const T2 &x2)
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
VectorView< T_return_type, false, true > d_x1