idris2-profunctors/Data/Profunctor/Representable.idr

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1.2 KiB
Idris

module Data.Profunctor.Representable
import Control.Monad.Identity
import Data.Morphisms
import Data.Profunctor
import Data.Profunctor.Costrong
import Data.Profunctor.Sieve
%default total
public export
interface (Sieve p f, Strong p) => Representable p f | p where
tabulate : (a -> f b) -> p a b
export
Representable Morphism Identity where
tabulate f = Mor (runIdentity . f)
export
[Function] Representable (\a,b => a -> b) Identity
using Sieve.Function Strong.Function where
tabulate = (runIdentity .)
export
Functor f => Representable (Kleislimorphism f) f where
tabulate = Kleisli
export
Functor f => Representable (Star f) f where
tabulate = MkStar
export
tabulated : (Representable q f, Representable r g) => forall p. Profunctor p =>
p (q a b) (r a' b') -> p (a -> f b) (a' -> g b')
tabulated = dimap tabulate sieve
public export
interface (Cosieve p f, Costrong p) => Corepresentable p f | p where
cotabulate : (f a -> b) -> p a b
export
cotabulated : (Corepresentable q f, Corepresentable r g) => forall p. Profunctor p =>
p (q a b) (r a' b') -> p (f a -> b) (g a' -> b')
cotabulated = dimap cotabulate cosieve