Automatic Differentiation
 
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atan.hpp
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1#ifndef STAN_MATH_PRIM_FUN_ATAN_HPP
2#define STAN_MATH_PRIM_FUN_ATAN_HPP
3
11#include <cmath>
12#include <complex>
13
14namespace stan {
15namespace math {
16
24struct atan_fun {
25 template <typename T>
26 static inline auto fun(const T& x) {
27 using std::atan;
28 return atan(x);
29 }
30};
31
40template <typename Container,
44 Container>* = nullptr>
45inline auto atan(const Container& x) {
47}
48
57template <typename Container,
59inline auto atan(const Container& x) {
61 x, [](const auto& v) { return v.array().atan(); });
62}
63
64namespace internal {
72template <typename V>
73inline std::complex<V> complex_atan(const std::complex<V>& z) {
74 return neg_i_times(atanh(i_times(z)));
75}
76} // namespace internal
77
78} // namespace math
79} // namespace stan
80
81#endif
require_not_t< container_type_check_base< is_container, scalar_type_t, TypeCheck, Check... > > require_not_container_st
Require type does not satisfy is_container.
require_t< container_type_check_base< is_container, scalar_type_t, TypeCheck, Check... > > require_container_st
Require type satisfies is_container.
require_all_not_t< is_nonscalar_prim_or_rev_kernel_expression< std::decay_t< Types > >... > require_all_not_nonscalar_prim_or_rev_kernel_expression_t
Require none of the types satisfy is_nonscalar_prim_or_rev_kernel_expression.
require_not_t< is_var_matrix< std::decay_t< T > > > require_not_var_matrix_t
Require type does not satisfy is_var_matrix.
std::complex< V > complex_atan(const std::complex< V > &z)
Return the arc tangent of the complex argument.
Definition atan.hpp:73
std::complex< T > i_times(const std::complex< T > &z)
Return the specified complex number multiplied by i.
Definition i_times.hpp:20
std::complex< T > neg_i_times(const std::complex< T > &z)
Return the specified complex number multiplied by -i.
Definition i_times.hpp:36
fvar< T > atanh(const fvar< T > &x)
Return inverse hyperbolic tangent of specified value.
Definition atanh.hpp:24
fvar< T > atan(const fvar< T > &x)
Definition atan.hpp:15
The lgamma implementation in stan-math is based on either the reentrant safe lgamma_r implementation ...
Base template class for vectorization of unary scalar functions defined by a template class F to a sc...
static auto fun(const T &x)
Definition atan.hpp:26
Structure to wrap atan() so it can be vectorized.
Definition atan.hpp:24