Stan Math Library
2.15.0
reverse mode automatic differentiation
stan
math
fwd
scal
fun
Phi.hpp
Go to the documentation of this file.
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#ifndef STAN_MATH_FWD_SCAL_FUN_PHI_HPP
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#define STAN_MATH_FWD_SCAL_FUN_PHI_HPP
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#include <
stan/math/fwd/core.hpp
>
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#include <
stan/math/prim/scal/fun/Phi.hpp
>
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#include <
stan/math/prim/scal/fun/constants.hpp
>
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namespace
stan
{
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namespace
math {
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template
<
typename
T>
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inline
fvar<T>
Phi
(
const
fvar<T>
& x) {
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using
std::exp
;
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using
std::sqrt
;
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T xv = x.
val_
;
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return
fvar<T>
(
Phi
(xv),
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x.
d_
*
exp
(xv * xv / -2.0) /
sqrt
(2.0 *
pi
()));
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}
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}
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}
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#endif
core.hpp
stan::math::fvar::d_
T d_
Definition:
fvar.hpp:16
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:15
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:14
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