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sqrt.hpp
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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 namespace math {
10
11 template <typename T>
12 inline
13 fvar<T>
14 sqrt(const fvar<T>& x) {
15 using std::sqrt;
16 return fvar<T>(sqrt(x.val_), 0.5 * x.d_ * inv_sqrt(x.val_));
17 }
18 }
19 }
20 #endif
core.hpp
stan::math::inv_sqrt
fvar< T > inv_sqrt(const fvar< T > &x)
Definition: inv_sqrt.hpp:14
stan::math::fvar::d_
T d_
Definition: fvar.hpp:14
stan::math::sqrt
fvar< T > sqrt(const fvar< T > &x)
Definition: sqrt.hpp:14
stan
Definition: log_sum_exp.hpp:8
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:13
inv_sqrt.hpp
stan::math::fvar
Definition: fvar.hpp:12

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