1 #ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOG_HPP
16 #include <boost/random/bernoulli_distribution.hpp>
17 #include <boost/random/variate_generator.hpp>
26 template <
bool propto,
typename T_n,
typename T_prob>
27 typename return_type<T_prob>::type
29 const T_prob& theta) {
30 static const char*
function(
"stan::math::bernoulli_log");
48 T_partials_return logp(0.0);
53 check_bounded(
function,
"Probability parameter", theta, 0.0, 1.0);
56 "Probability parameter", theta);
70 for (
size_t n = 0; n < N; n++) {
73 const T_partials_return theta_dbl =
value_of(theta_vec[0]);
76 logp += N *
log(theta_dbl);
78 operands_and_partials.
d_x1[0] += N / theta_dbl;
79 }
else if (sum == 0) {
80 logp += N *
log1m(theta_dbl);
82 operands_and_partials.
d_x1[0] += N / (theta_dbl - 1);
84 const T_partials_return log_theta =
log(theta_dbl);
85 const T_partials_return log1m_theta =
log1m(theta_dbl);
87 logp += sum * log_theta;
88 logp += (N -
sum) * log1m_theta;
92 operands_and_partials.
d_x1[0] += sum / theta_dbl;
93 operands_and_partials.
d_x1[0] += (N -
sum) / (theta_dbl - 1);
97 for (
size_t n = 0; n < N; n++) {
99 const int n_int =
value_of(n_vec[n]);
100 const T_partials_return theta_dbl =
value_of(theta_vec[n]);
103 logp +=
log(theta_dbl);
105 logp +=
log1m(theta_dbl);
110 operands_and_partials.
d_x1[n] += 1.0 / theta_dbl;
112 operands_and_partials.
d_x1[n] += 1.0 / (theta_dbl - 1);
116 return operands_and_partials.
value(logp);
119 template <
typename T_y,
typename T_prob>
123 const T_prob& theta) {
124 return bernoulli_log<false>(n, theta);
fvar< T > sum(const std::vector< fvar< T > > &m)
Return the sum of the entries of the specified standard vector.
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)
bool check_bounded(const char *function, const char *name, const T_y &y, const T_low &low, const T_high &high)
Return true if the value is between the low and high values, inclusively.
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...
This class builds partial derivatives with respect to a set of operands.
size_t max_size(const T1 &x1, const T2 &x2)
return_type< T_prob >::type bernoulli_log(const T_n &n, const T_prob &theta)
bool check_finite(const char *function, const char *name, const T_y &y)
Return true if y is finite.
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.
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 > log1m(const fvar< T > &x)
VectorView< T_return_type, false, true > d_x1