Portability | GHC only |
---|---|
Stability | experimental |
Maintainer | ekmett@gmail.com |
- module Numeric.AD.Internal.Classes
- type UU a = forall s. Mode s => AD s a -> AD s a
- type UF f a = forall s. Mode s => AD s a -> f (AD s a)
- type FU f a = forall s. Mode s => f (AD s a) -> AD s a
- type FF f g a = forall s. Mode s => f (AD s a) -> g (AD s a)
- zipWithT :: (Foldable f, Traversable g) => (a -> b -> c) -> f a -> g b -> g c
- zipWithDefaultT :: (Foldable f, Traversable g) => a -> (a -> b -> c) -> f a -> g b -> g c
- on :: (a -> a -> b) -> (c -> a) -> c -> c -> b
- newtype AD f a = AD {
- runAD :: f a
- newtype Id a = Id a
- probe :: a -> AD Id a
- unprobe :: AD Id a -> a
- probed :: f a -> f (AD Id a)
- unprobed :: f (AD Id a) -> f a
- data Pair a b = Pair a b
Documentation
module Numeric.AD.Internal.Classes
type UU a = forall s. Mode s => AD s a -> AD s aSource
A scalar-to-scalar automatically-differentiable function.
type UF f a = forall s. Mode s => AD s a -> f (AD s a)Source
A scalar-to-non-scalar automatically-differentiable function.
type FU f a = forall s. Mode s => f (AD s a) -> AD s aSource
A non-scalar-to-scalar automatically-differentiable function.
type FF f g a = forall s. Mode s => f (AD s a) -> g (AD s a)Source
A non-scalar-to-non-scalar automatically-differentiable function.
zipWithT :: (Foldable f, Traversable g) => (a -> b -> c) -> f a -> g b -> g cSource
zipWithDefaultT :: (Foldable f, Traversable g) => a -> (a -> b -> c) -> f a -> g b -> g cSource
AD
serves as a common wrapper for different Mode
instances, exposing a traditional
numerical tower. Universal quantification is used to limit the actions in user code to
machinery that will return the same answers under all AD modes, allowing us to use modes
interchangeably as both the type level "brand" and dictionary, providing a common API.
Primal f => Primal (AD f) | |
Mode f => Mode (AD f) | |
Lifted f => Lifted (AD f) | |
Var (AD Reverse) | |
Iso (f a) (AD f a) | |
(Num a, Lifted f, Bounded a) => Bounded (AD f a) | |
(Num a, Lifted f, Enum a) => Enum (AD f a) | |
(Num a, Lifted f, Eq a) => Eq (AD f a) | |
(Lifted f, Floating a) => Floating (AD f a) | |
(Lifted f, Fractional a) => Fractional (AD f a) | |
(Lifted f, Num a) => Num (AD f a) | |
(Num a, Lifted f, Ord a) => Ord (AD f a) | |
(Lifted f, Real a) => Real (AD f a) | |
(Lifted f, RealFloat a) => RealFloat (AD f a) | |
(Lifted f, RealFrac a) => RealFrac (AD f a) | |
(Lifted f, Show a) => Show (AD f a) |
Id a |
Monad Id | |
Functor Id | |
Applicative Id | |
Primal Id | |
Mode Id | |
Lifted Id | |
Iso a (Id a) | |
Bounded a => Bounded (Id a) | |
Enum a => Enum (Id a) | |
Eq a => Eq (Id a) | |
Floating a => Floating (Id a) | |
Fractional a => Fractional (Id a) | |
Num a => Num (Id a) | |
Ord a => Ord (Id a) | |
Real a => Real (Id a) | |
RealFloat a => RealFloat (Id a) | |
RealFrac a => RealFrac (Id a) | |
Show a => Show (Id a) | |
Monoid a => Monoid (Id a) |