Automatic Differentiation
 
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asin.hpp
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1#ifndef STAN_MATH_FWD_FUN_ASIN_HPP
2#define STAN_MATH_FWD_FUN_ASIN_HPP
3
9#include <cmath>
10#include <complex>
11
12namespace stan {
13namespace math {
14
15template <typename T>
16inline fvar<T> asin(const fvar<T>& x) {
17 return fvar<T>(asin(x.val_), x.d_ / sqrt(1 - square(x.val_)));
18}
19
27template <typename T>
28inline std::complex<fvar<T>> asin(const std::complex<fvar<T>>& z) {
29 return internal::complex_asin(z);
30}
31
32} // namespace math
33} // namespace stan
34#endif
std::complex< V > complex_asin(const std::complex< V > &z)
Return the arc sine of the complex argument.
Definition asin.hpp:94
fvar< T > sqrt(const fvar< T > &x)
Definition sqrt.hpp:18
fvar< T > asin(const fvar< T > &x)
Definition asin.hpp:16
fvar< T > square(const fvar< T > &x)
Definition square.hpp:12
The lgamma implementation in stan-math is based on either the reentrant safe lgamma_r implementation ...
Scalar val_
The value of this variable.
Definition fvar.hpp:49
Scalar d_
The tangent (derivative) of this variable.
Definition fvar.hpp:61
This template class represents scalars used in forward-mode automatic differentiation,...
Definition fvar.hpp:40