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reverse mode automatic differentiation
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stan
math
fwd
scal
fun
hypot.hpp
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#ifndef STAN_MATH_FWD_SCAL_FUN_HYPOT_HPP
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#define STAN_MATH_FWD_SCAL_FUN_HYPOT_HPP
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#include <math.h>
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#include <
stan/math/fwd/core.hpp
>
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#include <
stan/math/prim/scal/fun/inv.hpp
>
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#include <cmath>
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namespace
stan
{
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namespace
math {
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template
<
typename
T>
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inline
fvar<T>
hypot
(
const
fvar<T>
& x1,
const
fvar<T>
& x2) {
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using ::hypot
;
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using
std::sqrt
;
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using
stan::math::inv
;
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T u =
hypot
(x1.
val_
, x2.
val_
);
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return
fvar<T>
(u, (x1.
d_
* x1.
val_
+ x2.
d_
* x2.
val_
) *
inv
(u));
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}
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template
<
typename
T>
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inline
fvar<T>
hypot
(
const
fvar<T>
& x1,
const
double
x2) {
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using ::hypot
;
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using
std::sqrt
;
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using
stan::math::inv
;
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T u =
hypot
(x1.
val_
, x2);
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return
fvar<T>
(u, (x1.
d_
* x1.
val_
) *
inv
(u));
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}
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template
<
typename
T>
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inline
fvar<T>
hypot
(
const
double
x1,
const
fvar<T>
& x2) {
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using ::hypot
;
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using
std::sqrt
;
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using
stan::math::inv
;
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T u =
hypot
(x1, x2.
val_
);
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return
fvar<T>
(u, (x2.
d_
* x2.
val_
) *
inv
(u));
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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
stan::math::hypot
fvar< T > hypot(const fvar< T > &x1, const fvar< T > &x2)
Definition:
hypot.hpp:13
stan::math::sqrt
fvar< T > sqrt(const fvar< T > &x)
Definition:
sqrt.hpp:15
stan
Definition:
log_sum_exp.hpp:8
stan::math::fvar::val_
T val_
Definition:
fvar.hpp:14
inv.hpp
stan::math::fvar
Definition:
fvar.hpp:13
stan::math::inv
fvar< T > inv(const fvar< T > &x)
Definition:
inv.hpp:15
stan::math::hypot
var hypot(double a, const var &b)
Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99)...
Definition:
hypot.hpp:116
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