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erfc.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_ERFC_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_ERFC_HPP
3
4 #include <stan/math/fwd/core.hpp>
5 #include <stan/math/prim/scal/fun/constants.hpp>
6 #include <stan/math/prim/scal/fun/square.hpp>
7 #include <math.h>
8 #include <cmath>
9
10 namespace stan {
11 namespace math {
12
13 template <typename T>
14 inline fvar<T> erfc(const fvar<T>& x) {
15 using ::erfc;
16 using std::sqrt;
17 using std::exp;
18 return fvar<T>(erfc(x.val_),
19 -x.d_ * exp(-square(x.val_)) * TWO_OVER_SQRT_PI);
20 }
21
22 }
23 }
24 #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::erfc
var erfc(const var &a)
The complementary error function for variables (C99).
Definition: erfc.hpp:68
square.hpp
stan::math::square
fvar< T > square(const fvar< T > &x)
Definition: square.hpp:14
stan::math::TWO_OVER_SQRT_PI
const double TWO_OVER_SQRT_PI
Definition: constants.hpp:159
stan::math::fvar::val_
T val_
Definition: fvar.hpp:13
stan::math::exp
fvar< T > exp(const fvar< T > &x)
Definition: exp.hpp:10
constants.hpp
stan::math::erfc
fvar< T > erfc(const fvar< T > &x)
Definition: erfc.hpp:14
stan::math::fvar
Definition: fvar.hpp:12

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