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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>
5 #include <stan/math/prim/scal/fun/Phi.hpp>
6 #include <stan/math/prim/scal/fun/constants.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),
17 x.d_ * exp(xv * xv / -2.0) / sqrt(2.0 * pi()));
18 }
19
20 }
21 }
22 #endif
core.hpp
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::fvar::val_
T val_
Definition: fvar.hpp:13
stan::math::exp
fvar< T > exp(const fvar< T > &x)
Definition: exp.hpp:10
stan::math::Phi
fvar< T > Phi(const fvar< T > &x)
Definition: Phi.hpp:12
constants.hpp
stan::math::pi
double pi()
Return the value of pi.
Definition: constants.hpp:85
Phi.hpp
stan::math::fvar
Definition: fvar.hpp:12

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