Stan Math Library
2.8.0
reverse mode automatic differentiation
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stan
math
fwd
scal
fun
rising_factorial.hpp
Go to the documentation of this file.
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#ifndef STAN_MATH_FWD_SCAL_FUN_RISING_FACTORIAL_HPP
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#define STAN_MATH_FWD_SCAL_FUN_RISING_FACTORIAL_HPP
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#include <
stan/math/fwd/core.hpp
>
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#include <
stan/math/prim/scal/fun/rising_factorial.hpp
>
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#include <
stan/math/prim/scal/fun/digamma.hpp
>
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#include <iostream>
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namespace
stan {
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namespace
math {
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template
<
typename
T>
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inline
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fvar<T>
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rising_factorial
(
const
fvar<T>
& x,
const
fvar<T>
& n) {
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using
stan::math::rising_factorial
;
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T rising_fact(
rising_factorial
(x.
val_
, n.
val_
));
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return
fvar<T>
(rising_fact,
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rising_fact * (
digamma
(x.
val_
+ n.
val_
)
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* (x.
d_
+ n.
d_
) -
digamma
(x.
val_
) * x.
d_
));
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}
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template
<
typename
T>
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inline
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fvar<T>
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rising_factorial
(
const
fvar<T>
& x,
const
double
n) {
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using
stan::math::rising_factorial
;
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using
boost::math::digamma
;
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T rising_fact(
rising_factorial
(x.
val_
, n));
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return
fvar<T>
(rising_fact,
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rising_fact * x.
d_
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* (
digamma
(x.
val_
+ n) -
digamma
(x.
val_
)));
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}
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template
<
typename
T>
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inline
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fvar<T>
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rising_factorial
(
const
double
x,
const
fvar<T>
& n) {
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using
stan::math::rising_factorial
;
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using
boost::math::digamma
;
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T rising_fact(
rising_factorial
(x, n.
val_
));
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return
fvar<T>
(rising_fact,
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rising_fact * (
digamma
(x + n.
val_
) * n.
d_
));
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}
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}
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}
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#endif
core.hpp
stan::math::fvar::d_
T d_
Definition:
fvar.hpp:15
digamma.hpp
rising_factorial.hpp
stan::math::fvar::val_
T val_
Definition:
fvar.hpp:14
stan::math::rising_factorial
fvar< T > rising_factorial(const fvar< T > &x, const fvar< T > &n)
Definition:
rising_factorial.hpp:16
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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