1 #ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_HPP 2 #define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_HPP 27 template <
typename T_y,
typename T_inv_scale>
29 const T_y& y,
const T_inv_scale&
beta) {
33 static const char*
function =
"exponential_cdf";
37 T_partials_return cdf(1.0);
50 for (
size_t n = 0; n < N; n++) {
51 const T_partials_return beta_dbl =
value_of(beta_vec[n]);
52 const T_partials_return y_dbl =
value_of(y_vec[n]);
53 const T_partials_return one_m_exp = 1.0 -
exp(-beta_dbl * y_dbl);
58 for (
size_t n = 0; n < N; n++) {
59 const T_partials_return beta_dbl =
value_of(beta_vec[n]);
60 const T_partials_return y_dbl =
value_of(y_vec[n]);
61 const T_partials_return one_m_exp = 1.0 -
exp(-beta_dbl * y_dbl);
63 T_partials_return rep_deriv =
exp(-beta_dbl * y_dbl) / one_m_exp;
65 ops_partials.
edge1_.partials_[n] += rep_deriv * beta_dbl * cdf;
67 ops_partials.
edge2_.partials_[n] += rep_deriv * y_dbl * cdf;
69 return ops_partials.
build(cdf);
return_type< T_y, T_inv_scale >::type exponential_cdf(const T_y &y, const T_inv_scale &beta)
Calculates the exponential cumulative distribution function for the given y and beta.
boost::math::tools::promote_args< double, typename partials_type< typename scalar_type< T >::type >::type, typename partials_return_type< T_pack... >::type >::type type
T value_of(const fvar< T > &v)
Return the value of the specified variable.
Extends std::true_type when instantiated with zero or more template parameters, all of which extend t...
scalar_seq_view provides a uniform sequence-like wrapper around either a scalar or a sequence of scal...
This template builds partial derivatives with respect to a set of operands.
bool size_zero(T &x)
Returns 1 if input is of length 0, returns 0 otherwise.
void check_nonnegative(const char *function, const char *name, const T_y &y)
Check if y is non-negative.
fvar< T > beta(const fvar< T > &x1, const fvar< T > &x2)
Return fvar with the beta function applied to the specified arguments and its gradient.
void check_positive_finite(const char *function, const char *name, const T_y &y)
Check if y is positive and finite.
boost::math::tools::promote_args< double, typename scalar_type< T >::type, typename return_type< Types_pack... >::type >::type type
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.
size_t max_size(const T1 &x1, const T2 &x2)
T_return_type build(double value)
Build the node to be stored on the autodiff graph.
internal::ops_partials_edge< double, Op2 > edge2_
internal::ops_partials_edge< double, Op1 > edge1_