Stan Math Library  2.10.0
reverse mode automatic differentiation
acosh.hpp
Go to the documentation of this file.
1 #ifndef STAN_MATH_FWD_SCAL_FUN_ACOSH_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_ACOSH_HPP
3 
4 #include <math.h>
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> acosh(const fvar<T>& x) {
16  using stan::math::square;
17  using std::sqrt;
19  return fvar<T>(acosh(x.val_),
20  x.d_ / sqrt(square(x.val_) - 1));
21  }
22 
23  }
24 }
25 #endif
fvar< T > sqrt(const fvar< T > &x)
Definition: sqrt.hpp:15
const double NOT_A_NUMBER
(Quiet) not-a-number value.
Definition: constants.hpp:56
fvar< T > square(const fvar< T > &x)
Definition: square.hpp:15
var acosh(const var &a)
The inverse hyperbolic cosine function for variables (C99).
Definition: acosh.hpp:68
fvar< T > acosh(const fvar< T > &x)
Definition: acosh.hpp:14

     [ Stan Home Page ] © 2011–2016, Stan Development Team.