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asinh.hpp
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1 #ifndef STAN__AGRAD__FWD__FUNCTIONS__ASINH_HPP
2 #define STAN__AGRAD__FWD__FUNCTIONS__ASINH_HPP
3 
4 #include <stan/agrad/fwd/fvar.hpp>
5 #include <stan/meta/traits.hpp>
6 #include <stan/math/functions/square.hpp>
7 #include <math.h>
8 
9 namespace stan {
10 
11  namespace agrad {
12 
13  template <typename T>
14  inline
15  fvar<T>
16  asinh(const fvar<T>& x) {
17  using ::asinh;
18  using std::sqrt;
19  using stan::math::square;
20  return fvar<T>(asinh(x.val_), x.d_ / sqrt(square(x.val_) + 1));
21  }
22  }
23 }
24 #endif
stan::math::square
T square(const T x)
Return the square of the specified argument.
Definition: square.hpp:22
stan::agrad::square
fvar< T > square(const fvar< T > &x)
Definition: square.hpp:15
stan::agrad::sqrt
fvar< T > sqrt(const fvar< T > &x)
Definition: sqrt.hpp:15
stan::agrad::asinh
var asinh(const stan::agrad::var &a)
The inverse hyperbolic sine function for variables (C99).
Definition: asinh.hpp:65
stan::agrad::asinh
fvar< T > asinh(const fvar< T > &x)
Definition: asinh.hpp:16
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