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erfc.hpp
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#ifndef STAN_MATH_REV_SCAL_FUN_ERFC_HPP
#define STAN_MATH_REV_SCAL_FUN_ERFC_HPP
#include <math.h>
#include <stan/math/rev/core.hpp>
#include <stan/math/prim/scal/fun/constants.hpp>
#include <cmath>
#include <valarray>
#ifdef _MSC_VER
#include <boost/math/special_functions/erf.hpp>
using boost::math::erfc;
#endif
namespace stan {
namespace math {
namespace {
class erfc_vari : public op_v_vari {
public:
explicit erfc_vari(vari* avi) :
op_v_vari(::erfc(avi->val_), avi) {
}
void chain() {
avi_->adj_ += adj_ * stan::math::NEG_TWO_OVER_SQRT_PI
* std::exp(- avi_->val_ * avi_->val_);
}
};
}
inline var erfc(const var& a) {
return var(new erfc_vari(a.vi_));
}
}
}
#endif
core.hpp
stan::math::erfc
var erfc(const var &a)
The complementary error function for variables (C99).
Definition: erfc.hpp:68
stan::math::var
Independent (input) and dependent (output) variables for gradients.
Definition: var.hpp:32
stan::math::exp
fvar< T > exp(const fvar< T > &x)
Definition: exp.hpp:10
stan::math::var::vi_
vari * vi_
Pointer to the implementation of this variable.
Definition: var.hpp:44
stan::math::NEG_TWO_OVER_SQRT_PI
const double NEG_TWO_OVER_SQRT_PI
Definition: constants.hpp:163
constants.hpp
stan::math::erfc
fvar< T > erfc(const fvar< T > &x)
Definition: erfc.hpp:14

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