Automatic Differentiation
 
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tgamma.hpp
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1#ifndef STAN_MATH_FWD_FUN_TGAMMA_HPP
2#define STAN_MATH_FWD_FUN_TGAMMA_HPP
3
7#include <boost/math/special_functions/digamma.hpp>
8
9namespace stan {
10namespace math {
11
20template <typename T>
21inline fvar<T> tgamma(const fvar<T>& x) {
22 T u = tgamma(x.val_);
23 return fvar<T>(u, x.d_ * u * digamma(x.val_));
24}
25
26} // namespace math
27} // namespace stan
28#endif
fvar< T > tgamma(const fvar< T > &x)
Return the result of applying the gamma function to the specified argument.
Definition tgamma.hpp:21
fvar< T > digamma(const fvar< T > &x)
Return the derivative of the log gamma function at the specified argument.
Definition digamma.hpp:23
The lgamma implementation in stan-math is based on either the reentrant safe lgamma_r implementation ...
Definition fvar.hpp:9
Scalar val_
The value of this variable.
Definition fvar.hpp:49
Scalar d_
The tangent (derivative) of this variable.
Definition fvar.hpp:61
This template class represents scalars used in forward-mode automatic differentiation,...
Definition fvar.hpp:40