1 #ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP
16 #include <boost/math/special_functions/fpclassify.hpp>
17 #include <boost/random/poisson_distribution.hpp>
18 #include <boost/random/variate_generator.hpp>
27 template <
bool propto,
28 typename T_n,
typename T_log_rate>
29 typename return_type<T_log_rate>::type
34 static const char*
function(
"stan::math::poisson_log_log");
51 T_partials_return logp(0.0);
58 "Log rate parameter", alpha);
70 for (
size_t i = 0; i <
size; i++)
71 if (std::numeric_limits<double>::infinity() == alpha_vec[i])
73 for (
size_t i = 0; i <
size; i++)
74 if (-std::numeric_limits<double>::infinity() == alpha_vec[i]
83 T_partials_return, T_log_rate>
85 for (
size_t i = 0; i <
length(alpha); i++)
90 for (
size_t i = 0; i <
size; i++) {
91 if (!(alpha_vec[i] == -std::numeric_limits<double>::infinity()
94 logp -=
lgamma(n_vec[i] + 1.0);
96 logp += n_vec[i] *
value_of(alpha_vec[i]) - exp_alpha[i];
101 operands_and_partials.
d_x1[i] += n_vec[i] - exp_alpha[i];
103 return operands_and_partials.
to_var(logp, alpha);
106 template <
typename T_n,
111 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.
size_t length(const std::vector< T > &x)
T_return_type to_var(T_partials_return logp, const T1 &x1=0, const T2 &x2=0, const T3 &x3=0, const T4 &x4=0, const T5 &x5=0, const T6 &x6=0)
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
VectorView< T_partials_return, is_vector< T1 >::value, is_constant_struct< T1 >::value > d_x1
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)
A variable implementation that stores operands and derivatives with respect to the variable...
size_t max_size(const T1 &x1, const T2 &x2)
fvar< T > multiply_log(const fvar< T > &x1, const fvar< T > &x2)
int size(const std::vector< T > &x)
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 metaprogram that takes its argument and allows it to be used like a vector...
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