Phi.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_PHI_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_PHI_HPP
3 
4 #include <stan/math/fwd/core.hpp>
7 
8 namespace stan {
9 namespace math {
10 
11 template <typename T>
12 inline fvar<T> Phi(const fvar<T>& x) {
13  using std::exp;
14  using std::sqrt;
15  T xv = x.val_;
16  return fvar<T>(Phi(xv), x.d_ * exp(xv * xv / -2.0) / sqrt(2.0 * pi()));
17 }
18 
19 } // namespace math
20 } // namespace stan
21 #endif
fvar< T > sqrt(const fvar< T > &x)
Definition: sqrt.hpp:12
T sqrt(T number)
Definition: d0nt_math.hpp:156
fvar< T > exp(const fvar< T > &x)
Definition: exp.hpp:10
fvar< T > Phi(const fvar< T > &x)
Definition: Phi.hpp:12
double pi()
Definition: constants.hpp:82
double T
Definition: Xdiff_gwt.C:5