Stan Math Library
2.10.0
reverse mode automatic differentiation
Main Page
Modules
Namespaces
Classes
Files
File List
File Members
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
using
stan::math::square
;
16
return
fvar<T>
(
asin
(x.
val_
), x.
d_
/
sqrt
(1 -
square
(x.
val_
)));
17
}
18
19
}
20
}
21
#endif
core.hpp
stan::math::fvar::d_
T d_
Definition:
fvar.hpp:15
stan::math::sqrt
fvar< T > sqrt(const fvar< T > &x)
Definition:
sqrt.hpp:15
stan
Definition:
log_sum_exp.hpp:8
square.hpp
stan::math::square
fvar< T > square(const fvar< T > &x)
Definition:
square.hpp:15
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:14
stan::math::asin
fvar< T > asin(const fvar< T > &x)
Definition:
asin.hpp:12
stan::math::fvar
Definition:
fvar.hpp:13
[
Stan Home Page
]
© 2011–2016, Stan Development Team.