1 #ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_LCDF_HPP 2 #define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_LCDF_HPP 28 template <
typename T_y,
typename T_shape,
typename T_scale>
30 const T_y& y,
const T_shape& alpha,
const T_scale& sigma) {
34 static const char*
function =
"weibull_lcdf";
42 T_partials_return cdf_log(0.0);
52 size_t N =
max_size(y, sigma, alpha);
53 for (
size_t n = 0; n < N; n++) {
54 const T_partials_return y_dbl =
value_of(y_vec[n]);
55 const T_partials_return sigma_dbl =
value_of(sigma_vec[n]);
56 const T_partials_return alpha_dbl =
value_of(alpha_vec[n]);
57 const T_partials_return pow_ =
pow(y_dbl / sigma_dbl, alpha_dbl);
58 const T_partials_return exp_ =
exp(-pow_);
59 const T_partials_return cdf_ = 1.0 - exp_;
63 const T_partials_return rep_deriv = pow_ / (1.0 / exp_ - 1.0);
65 ops_partials.
edge1_.partials_[n] += rep_deriv * alpha_dbl / y_dbl;
67 ops_partials.
edge2_.partials_[n] += rep_deriv *
log(y_dbl / sigma_dbl);
69 ops_partials.
edge3_.partials_[n] -= rep_deriv * alpha_dbl / sigma_dbl;
71 return ops_partials.
build(cdf_log);
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...
fvar< T > log(const fvar< T > &x)
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.
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)
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_
return_type< T_y, T_shape, T_scale >::type weibull_lcdf(const T_y &y, const T_shape &alpha, const T_scale &sigma)
Returns the Weibull log cumulative distribution function for the given location and scale...
fvar< T > pow(const fvar< T > &x1, const fvar< T > &x2)
internal::ops_partials_edge< double, Op3 > edge3_
internal::ops_partials_edge< double, Op1 > edge1_