1 #ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP 2 #define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP 19 #include <boost/random/poisson_distribution.hpp> 20 #include <boost/random/variate_generator.hpp> 28 template <
bool propto,
29 typename T_n,
typename T_log_rate>
35 static const char*
function(
"poisson_log_log");
43 T_partials_return logp(0.0);
49 "Log rate parameter", alpha);
59 for (
size_t i = 0; i <
size; i++)
60 if (std::numeric_limits<double>::infinity() == alpha_vec[i])
62 for (
size_t i = 0; i <
size; i++)
63 if (-std::numeric_limits<double>::infinity() == alpha_vec[i]
71 T_partials_return, T_log_rate>
73 for (
size_t i = 0; i <
length(alpha); i++)
77 for (
size_t i = 0; i <
size; i++) {
78 if (!(alpha_vec[i] == -std::numeric_limits<double>::infinity()
81 logp -=
lgamma(n_vec[i] + 1.0);
83 logp += n_vec[i] *
value_of(alpha_vec[i]) - exp_alpha[i];
87 operands_and_partials.
d_x1[i] += n_vec[i] - exp_alpha[i];
89 return operands_and_partials.
value(logp);
92 template <
typename T_n,
97 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)
Return the natural logarithm of the gamma function applied to the specified argument.
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...
void check_nonnegative(const char *function, const char *name, const T_y &y)
Check if y is non-negative.
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)
void check_not_nan(const char *function, const char *name, const T_y &y)
Check if y is not NaN.
This class builds partial derivatives with respect to a set of operands.
size_t max_size(const T1 &x1, const T2 &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.
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[].
void check_consistent_sizes(const char *function, const char *name1, const T1 &x1, const char *name2, const T2 &x2)
Check if the dimension of x1 is consistent with x2.
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