Stan Math Library  2.20.0
reverse mode automatic differentiation
asin.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_ASIN_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_ASIN_HPP
3 
4 #include <stan/math/fwd/meta.hpp>
5 #include <stan/math/fwd/core.hpp>
7 #include <cmath>
8 
9 namespace stan {
10 namespace math {
11 
12 template <typename T>
13 inline fvar<T> asin(const fvar<T>& x) {
14  using std::asin;
15  using std::sqrt;
16  return fvar<T>(asin(x.val_), x.d_ / sqrt(1 - square(x.val_)));
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
var asin(const var &a)
Return the principal value of the arc sine, in radians, of the specified variable (cmath)...
Definition: asin.hpp:57
T val_
The value of this variable.
Definition: fvar.hpp:45
fvar< T > asin(const fvar< T > &x)
Definition: asin.hpp:13
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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