Stan Math Library
2.15.0
reverse mode automatic differentiation
stan
math
fwd
scal
fun
asin.hpp
Go to the documentation of this file.
1
#ifndef STAN_MATH_FWD_SCAL_FUN_ASIN_HPP
2
#define STAN_MATH_FWD_SCAL_FUN_ASIN_HPP
3
4
#include <
stan/math/fwd/core.hpp
>
5
#include <
stan/math/prim/scal/fun/square.hpp
>
6
#include <cmath>
7
8
namespace
stan
{
9
namespace
math {
10
11
template
<
typename
T>
12
inline
fvar<T>
asin
(
const
fvar<T>
& x) {
13
using
std::asin
;
14
using
std::sqrt
;
15
return
fvar<T>
(
asin
(x.
val_
), x.
d_
/
sqrt
(1 -
square
(x.
val_
)));
16
}
17
18
}
19
}
20
#endif
core.hpp
stan::math::fvar::d_
T d_
Definition:
fvar.hpp:16
stan::math::sqrt
fvar< T > sqrt(const fvar< T > &x)
Definition:
sqrt.hpp:14
stan
Definition:
log_sum_exp.hpp:8
square.hpp
stan::math::square
fvar< T > square(const fvar< T > &x)
Definition:
square.hpp:14
stan::math::asin
var asin(const var &a)
Return the principal value of the arc sine, in radians, of the specified variable (cmath)...
Definition:
asin.hpp:58
stan::math::fvar::val_
T val_
Definition:
fvar.hpp:15
stan::math::asin
fvar< T > asin(const fvar< T > &x)
Definition:
asin.hpp:12
stan::math::fvar
Definition:
fvar.hpp:14
[
Stan Home Page
]
© 2011–2016, Stan Development Team.