1 #ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CCDF_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CCDF_LOG_HPP
18 #include <boost/random/uniform_real_distribution.hpp>
19 #include <boost/random/variate_generator.hpp>
25 template <
typename T_y,
typename T_scale>
26 typename return_type<T_y, T_scale>::type
28 static const char*
function(
"stan::math::rayleigh_ccdf_log");
41 T_partials_return ccdf_log(0.0);
53 "Scale parameter", sigma);
64 for (
size_t i = 0; i <
length(sigma); i++) {
65 inv_sigma[i] = 1.0 /
value_of(sigma_vec[i]);
68 for (
size_t n = 0; n < N; n++) {
69 const T_partials_return y_dbl =
value_of(y_vec[n]);
70 const T_partials_return y_sqr = y_dbl * y_dbl;
71 const T_partials_return inv_sigma_sqr = inv_sigma[n] * inv_sigma[n];
74 ccdf_log += -0.5 * y_sqr * inv_sigma_sqr;
77 operands_and_partials.
d_x1[n] -= y_dbl * inv_sigma_sqr;
79 operands_and_partials.
d_x2[n] += y_sqr * inv_sigma_sqr
83 return operands_and_partials.
value(ccdf_log);
VectorView< T_return_type, false, true > d_x2
return_type< T_y, T_scale >::type rayleigh_ccdf_log(const T_y &y, const T_scale &sigma)
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...
fvar< T > square(const fvar< T > &x)
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.
bool check_positive(const char *function, const char *name, const T_y &y)
Return true if y is positive.
size_t max_size(const T1 &x1, const T2 &x2)
VectorBuilder allocates type T1 values to be used as intermediate values.
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