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sqrt.hpp
Go to the documentation of this file.
1 #ifndef STAN_MATH_FWD_SCAL_FUN_SQRT_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_SQRT_HPP
3
4 #include <stan/math/fwd/core.hpp>
5
6 #include <stan/math/prim/scal/fun/inv_sqrt.hpp>
7
8 namespace stan {
9
10 namespace math {
11
12 template <typename T>
13 inline
14 fvar<T>
15 sqrt(const fvar<T>& x) {
16 using std::sqrt;
17 using stan::math::inv_sqrt;
18 return fvar<T>(sqrt(x.val_), 0.5 * x.d_ * inv_sqrt(x.val_));
19 }
20 }
21 }
22 #endif
core.hpp
stan::math::inv_sqrt
fvar< T > inv_sqrt(const fvar< T > &x)
Definition: inv_sqrt.hpp:15
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::math::sqrt
var sqrt(const var &a)
Return the square root of the specified variable (cmath).
Definition: sqrt.hpp:50
stan::math::fvar::val_
T val_
Definition: fvar.hpp:14
inv_sqrt.hpp
stan::math::fvar
Definition: fvar.hpp:13

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