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weibull_ccdf_log.hpp
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1 #ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CCDF_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CCDF_LOG_HPP
3
4 #include <stan/math/prim/scal/meta/is_constant_struct.hpp>
5 #include <stan/math/prim/scal/meta/partials_return_type.hpp>
6 #include <stan/math/prim/scal/meta/OperandsAndPartials.hpp>
7 #include <stan/math/prim/scal/err/check_consistent_sizes.hpp>
8 #include <stan/math/prim/scal/err/check_finite.hpp>
9 #include <stan/math/prim/scal/err/check_nonnegative.hpp>
10 #include <stan/math/prim/scal/err/check_not_nan.hpp>
11 #include <stan/math/prim/scal/err/check_positive_finite.hpp>
12 #include <stan/math/prim/scal/fun/multiply_log.hpp>
13 #include <stan/math/prim/scal/fun/value_of.hpp>
14 #include <stan/math/prim/scal/meta/length.hpp>
15 #include <stan/math/prim/scal/fun/constants.hpp>
16 #include <stan/math/prim/scal/meta/include_summand.hpp>
17 #include <stan/math/prim/scal/meta/VectorBuilder.hpp>
18 #include <stan/math/prim/scal/meta/VectorView.hpp>
19 #include <boost/random/weibull_distribution.hpp>
20 #include <boost/random/variate_generator.hpp>
21 #include <cmath>
22
23 namespace stan {
24 namespace math {
25
26 template <typename T_y, typename T_shape, typename T_scale>
27 typename return_type<T_y, T_shape, T_scale>::type
28 weibull_ccdf_log(const T_y& y, const T_shape& alpha, const T_scale& sigma) {
29 typedef typename stan::partials_return_type<T_y, T_shape, T_scale>::type
30 T_partials_return;
31
32 static const char* function("weibull_ccdf_log");
33
34 using boost::math::tools::promote_args;
35 using std::log;
36
37 if (!(stan::length(y)
38 && stan::length(alpha)
39 && stan::length(sigma)))
40 return 0.0;
41
42 T_partials_return ccdf_log(0.0);
43 check_nonnegative(function, "Random variable", y);
44 check_positive_finite(function, "Shape parameter", alpha);
45 check_positive_finite(function, "Scale parameter", sigma);
46
47 OperandsAndPartials<T_y, T_shape, T_scale>
48 operands_and_partials(y, alpha, sigma);
49
50 VectorView<const T_y> y_vec(y);
51 VectorView<const T_scale> sigma_vec(sigma);
52 VectorView<const T_shape> alpha_vec(alpha);
53 size_t N = max_size(y, sigma, alpha);
54 for (size_t n = 0; n < N; n++) {
55 const T_partials_return y_dbl = value_of(y_vec[n]);
56 const T_partials_return sigma_dbl = value_of(sigma_vec[n]);
57 const T_partials_return alpha_dbl = value_of(alpha_vec[n]);
58 const T_partials_return pow_ = pow(y_dbl / sigma_dbl, alpha_dbl);
59
60 ccdf_log -= pow_;
61
62 if (!is_constant_struct<T_y>::value)
63 operands_and_partials.d_x1[n] -= alpha_dbl / y_dbl * pow_;
64 if (!is_constant_struct<T_shape>::value)
65 operands_and_partials.d_x2[n] -= log(y_dbl / sigma_dbl) * pow_;
66 if (!is_constant_struct<T_scale>::value)
67 operands_and_partials.d_x3[n] += alpha_dbl / sigma_dbl * pow_;
68 }
69 return operands_and_partials.value(ccdf_log);
70 }
71
72 }
73 }
74 #endif
check_not_nan.hpp
stan::math::OperandsAndPartials::d_x2
VectorView< T_return_type, false, true > d_x2
Definition: OperandsAndPartials.hpp:39
check_positive_finite.hpp
stan
Definition: log_sum_exp.hpp:8
stan::math::value_of
T value_of(const fvar< T > &v)
Return the value of the specified variable.
Definition: value_of.hpp:16
stan::math::log
fvar< T > log(const fvar< T > &x)
Definition: log.hpp:14
stan::math::OperandsAndPartials::value
T_return_type value(double value)
Returns a T_return_type with the value specified with the partial derivatves.
Definition: OperandsAndPartials.hpp:67
stan::length
size_t length(const std::vector< T > &x)
Definition: length.hpp:10
is_constant_struct.hpp
include_summand.hpp
multiply_log.hpp
check_nonnegative.hpp
stan::is_constant_struct
Metaprogram to determine if a type has a base scalar type that can be assigned to type double...
Definition: is_constant_struct.hpp:13
stan::math::OperandsAndPartials
This class builds partial derivatives with respect to a set of operands.
Definition: OperandsAndPartials.hpp:37
VectorView.hpp
stan::math::OperandsAndPartials::d_x3
VectorView< T_return_type, false, true > d_x3
Definition: OperandsAndPartials.hpp:40
stan::max_size
size_t max_size(const T1 &x1, const T2 &x2)
Definition: max_size.hpp:9
VectorBuilder.hpp
partials_return_type.hpp
OperandsAndPartials.hpp
length.hpp
constants.hpp
check_finite.hpp
stan::math::weibull_ccdf_log
return_type< T_y, T_shape, T_scale >::type weibull_ccdf_log(const T_y &y, const T_shape &alpha, const T_scale &sigma)
Definition: weibull_ccdf_log.hpp:28
stan::math::pow
fvar< T > pow(const fvar< T > &x1, const fvar< T > &x2)
Definition: pow.hpp:17
stan::math::check_nonnegative
bool check_nonnegative(const char *function, const char *name, const T_y &y)
Return true if y is non-negative.
Definition: check_nonnegative.hpp:64
value_of.hpp
stan::VectorView
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[].
Definition: VectorView.hpp:48
stan::partials_return_type::type
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
Definition: partials_return_type.hpp:26
check_consistent_sizes.hpp
stan::math::check_positive_finite
bool check_positive_finite(const char *function, const char *name, const T_y &y)
Return true if y is positive and finite.
Definition: check_positive_finite.hpp:28
stan::math::OperandsAndPartials::d_x1
VectorView< T_return_type, false, true > d_x1
Definition: OperandsAndPartials.hpp:38

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