1 #ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_LOG_HPP
15 #include <boost/math/special_functions/fpclassify.hpp>
16 #include <boost/random/poisson_distribution.hpp>
17 #include <boost/random/variate_generator.hpp>
25 template <
typename T_n,
typename T_rate>
26 typename return_type<T_rate>::type
28 static const char*
function(
"stan::math::poisson_cdf_log");
41 T_partials_return P(0.0);
48 "Rate parameter", lambda);
71 for (
size_t i = 0; i <
size; i++) {
77 const T_partials_return n_dbl =
value_of(n_vec[i]);
78 const T_partials_return lambda_dbl =
value_of(lambda_vec[i]);
79 const T_partials_return log_Pi =
log(
gamma_q(n_dbl+1, lambda_dbl));
84 operands_and_partials.
d_x1[i] += -
exp(n_dbl *
log(lambda_dbl)
85 - lambda_dbl -
lgamma(n_dbl+1) - log_Pi);
88 return operands_and_partials.
value(P);
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.
fvar< T > log(const fvar< T > &x)
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)
Metaprogram to determine if a type has a base scalar type that can be assigned to type double...
return_type< T_rate >::type poisson_cdf_log(const T_n &n, const T_rate &lambda)
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)
int max(const std::vector< int > &x)
Returns the maximum coefficient in the specified column vector.
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 > gamma_q(const fvar< T > &x1, const fvar< T > &x2)
VectorView< T_return_type, false, true > d_x1
double negative_infinity()
Return negative infinity.