Stan Math Library  2.20.0
reverse mode automatic differentiation
rayleigh_lccdf.hpp
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1 #ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_LCCDF_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_LCCDF_HPP
3 
12 
13 namespace stan {
14 namespace math {
15 
16 template <typename T_y, typename T_scale>
18  const T_scale& sigma) {
19  static const char* function = "rayleigh_lccdf";
20  typedef
21  typename stan::partials_return_type<T_y, T_scale>::type T_partials_return;
22 
23  T_partials_return ccdf_log(0.0);
24 
25  if (size_zero(y, sigma))
26  return ccdf_log;
27 
28  check_not_nan(function, "Random variable", y);
29  check_nonnegative(function, "Random variable", y);
30  check_not_nan(function, "Scale parameter", sigma);
31  check_positive(function, "Scale parameter", sigma);
32  check_consistent_sizes(function, "Random variable", y, "Scale parameter",
33  sigma);
34 
35  operands_and_partials<T_y, T_scale> ops_partials(y, sigma);
36 
37  scalar_seq_view<T_y> y_vec(y);
38  scalar_seq_view<T_scale> sigma_vec(sigma);
39  size_t N = max_size(y, sigma);
40 
42  for (size_t i = 0; i < length(sigma); i++) {
43  inv_sigma[i] = 1.0 / value_of(sigma_vec[i]);
44  }
45 
46  for (size_t n = 0; n < N; n++) {
47  const T_partials_return y_dbl = value_of(y_vec[n]);
48  const T_partials_return y_sqr = y_dbl * y_dbl;
49  const T_partials_return inv_sigma_sqr = inv_sigma[n] * inv_sigma[n];
50 
52  ccdf_log += -0.5 * y_sqr * inv_sigma_sqr;
53 
55  ops_partials.edge1_.partials_[n] -= y_dbl * inv_sigma_sqr;
57  ops_partials.edge2_.partials_[n] += y_sqr * inv_sigma_sqr * inv_sigma[n];
58  }
59  return ops_partials.build(ccdf_log);
60 }
61 
62 } // namespace math
63 } // namespace stan
64 #endif
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.
Definition: value_of.hpp:17
Extends std::true_type when instantiated with zero or more template parameters, all of which extend t...
Definition: conjunction.hpp:14
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.
size_t length(const std::vector< T > &x)
Returns the length of the provided std::vector.
Definition: length.hpp:16
bool size_zero(T &x)
Returns 1 if input is of length 0, returns 0 otherwise.
Definition: size_zero.hpp:18
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
void check_nonnegative(const char *function, const char *name, const T_y &y)
Check if y is non-negative.
boost::math::tools::promote_args< double, typename scalar_type< T >::type, typename return_type< Types_pack... >::type >::type type
Definition: return_type.hpp:36
void check_not_nan(const char *function, const char *name, const T_y &y)
Check if y is not NaN.
return_type< T_y, T_scale >::type rayleigh_lccdf(const T_y &y, const T_scale &sigma)
size_t max_size(const T1 &x1, const T2 &x2)
Definition: max_size.hpp:9
T_return_type build(double value)
Build the node to be stored on the autodiff graph.
VectorBuilder allocates type T1 values to be used as intermediate values.
internal::ops_partials_edge< double, Op2 > edge2_
void check_positive(const char *function, const char *name, const T_y &y)
Check if y is positive.
void check_consistent_sizes(const char *function, const char *name1, const T1 &x1, const char *name2, const T2 &x2)
Check if the dimension of x1 is consistent with x2.
internal::ops_partials_edge< double, Op1 > edge1_

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