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

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