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