Stan Math Library  2.20.0
reverse mode automatic differentiation
asinh.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_ASINH_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_ASINH_HPP
3 
4 #include <stan/math/fwd/meta.hpp>
5 #include <stan/math/fwd/core.hpp>
8 #include <cmath>
9 
10 namespace stan {
11 namespace math {
12 
13 template <typename T>
14 inline fvar<T> asinh(const fvar<T>& x) {
15  using std::sqrt;
16  return fvar<T>(asinh(x.val_), x.d_ / sqrt(square(x.val_) + 1));
17 }
18 
19 } // namespace math
20 } // namespace stan
21 #endif
T d_
The tangent (derivative) of this variable.
Definition: fvar.hpp:50
fvar< T > sqrt(const fvar< T > &x)
Definition: sqrt.hpp:13
fvar< T > square(const fvar< T > &x)
Definition: square.hpp:12
T val_
The value of this variable.
Definition: fvar.hpp:45
fvar< T > asinh(const fvar< T > &x)
Definition: asinh.hpp:14
This template class represents scalars used in forward-mode automatic differentiation, which consist of values and directional derivatives of the specified template type.
Definition: fvar.hpp:41

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