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lbeta.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_LBETA_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_LBETA_HPP
3
4 #include <stan/math/fwd/core.hpp>
5
6 #include <boost/math/special_functions/digamma.hpp>
7 #include <stan/math/prim/scal/fun/lbeta.hpp>
8
9 namespace stan {
10
11 namespace math {
12
13 template <typename T>
14 inline
15 fvar<T>
16 lbeta(const fvar<T>& x1, const fvar<T>& x2) {
17 using stan::math::lbeta;
18 using boost::math::digamma;
19 return fvar<T>(lbeta(x1.val_, x2.val_),
20 x1.d_ * digamma(x1.val_)
21 + x2.d_ * digamma(x2.val_)
22 - (x1.d_ + x2.d_) * digamma(x1.val_ + x2.val_));
23 }
24
25 template <typename T>
26 inline
27 fvar<T>
28 lbeta(const double x1, const fvar<T>& x2) {
29 using stan::math::lbeta;
30 using boost::math::digamma;
31 return fvar<T>(lbeta(x1, x2.val_),
32 x2.d_ * digamma(x2.val_) - x2.d_ * digamma(x1 + x2.val_));
33 }
34
35 template <typename T>
36 inline
37 fvar<T>
38 lbeta(const fvar<T>& x1, const double x2) {
39 using stan::math::lbeta;
40 using boost::math::digamma;
41 return fvar<T>(lbeta(x1.val_, x2),
42 x1.d_ * digamma(x1.val_) - x1.d_ * digamma(x1.val_ + x2));
43 }
44 }
45 }
46 #endif
core.hpp
stan::math::fvar::d_
T d_
Definition: fvar.hpp:15
stan
Definition: log_sum_exp.hpp:8
stan::math::lbeta
fvar< T > lbeta(const fvar< T > &x1, const fvar< T > &x2)
Definition: lbeta.hpp:16
stan::math::fvar::val_
T val_
Definition: fvar.hpp:14
lbeta.hpp
stan::math::fvar
Definition: fvar.hpp:13
stan::math::digamma
fvar< T > digamma(const fvar< T > &x)
Definition: digamma.hpp:16

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