Portability | GHC only |
---|---|

Stability | experimental |

Maintainer | ekmett@gmail.com |

- 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
- 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

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) |