Automatic Differentiation
 
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asinh.hpp
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1#ifndef STAN_MATH_REV_FUN_ASINH_HPP
2#define STAN_MATH_REV_FUN_ASINH_HPP
3
18#include <cmath>
19#include <complex>
20
21namespace stan {
22namespace math {
23
57inline var asinh(const var& x) {
58 return make_callback_var(std::asinh(x.val()), [x](const auto& vi) mutable {
59 x.adj() += vi.adj() / std::sqrt(x.val() * x.val() + 1.0);
60 });
61}
62
70template <typename VarMat, require_var_matrix_t<VarMat>* = nullptr>
71inline auto asinh(const VarMat& x) {
72 return make_callback_var(
73 x.val().unaryExpr([](const auto x) { return asinh(x); }),
74 [x](const auto& vi) mutable {
75 x.adj().array()
76 += vi.adj().array() / (x.val().array().square() + 1.0).sqrt();
77 });
78}
79
86inline std::complex<var> asinh(const std::complex<var>& z) {
88}
89
90} // namespace math
91} // namespace stan
92#endif
std::complex< V > complex_asinh(const std::complex< V > &z)
Return the hyperbolic arc sine of the complex argument.
Definition asinh.hpp:96
fvar< T > asinh(const fvar< T > &x)
Definition asinh.hpp:16
var_value< plain_type_t< T > > make_callback_var(T &&value, F &&functor)
Creates a new var initialized with a callback_vari with a given value and reverse-pass callback funct...
The lgamma implementation in stan-math is based on either the reentrant safe lgamma_r implementation ...