Copyright	(C) 2013-2014 Edward Kmett and Dan Doel
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	Rank2Types, TFs
Safe Haskell	Safe
Language	Haskell2010

Data.Profunctor.Ran

Description

Synopsis

Documentation

newtype Ran p q a b Source

This represents the right Kan extension of a Profunctor q along a Profunctor p in a limited version of the 2-category of Profunctors where the only object is the category Hask, 1-morphisms are profunctors composed and compose with Profunctor composition, and 2-morphisms are just natural transformations.

Constructors

Ran
Fields runRan :: forall x. p x a -> q x b

Instances

(~) (* -> * -> ) p q => Category (Ran p q) Source	`Ran p p` forms a `Monad` in the `Profunctor` 2-category, which is isomorphic to a Haskell `Category` instance.
Category * p => ProfunctorComonad (Ran p) Source
ProfunctorFunctor (Ran p) Source
(Profunctor p, Profunctor q) => Profunctor (Ran p q) Source
Profunctor q => Functor (Ran p q a) Source

decomposeRan :: Procompose (Ran q p) q :-> p Source

The 2-morphism that defines a right Kan extension.

Note: When q is left adjoint to Ran q (->) then decomposeRan is the counit of the adjunction.

precomposeRan :: Profunctor q => Procompose q (Ran p (->)) :-> Ran p q Source

curryRan :: (Procompose p q :-> r) -> p :-> Ran q r Source

uncurryRan :: (p :-> Ran q r) -> Procompose p q :-> r Source