profunctors-5.3: Profunctors

Copyright(C) 2015 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
PortabilityMPTCs, fundeps
Safe HaskellTrustworthy
LanguageHaskell2010

Data.Profunctor.Sieve

Description

 
Synopsis

Documentation

class (Profunctor p, Functor f) => Sieve p f | p -> f where #

A Profunctor p is a Sieve on f if it is a subprofunctor of Star f.

That is to say it is a subset of Hom(-,f=) closed under lmap and rmap.

Alternately, you can view it as a sieve in the comma category Hask/f.

Methods

sieve :: p a b -> a -> f b #

Instances
(Monad m, Functor m) => Sieve (Kleisli m) m # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

sieve :: Kleisli m a b -> a -> m b #

Functor f => Sieve (Star f) f # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

sieve :: Star f a b -> a -> f b #

Sieve (Forget r) (Const r :: Type -> Type) # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

sieve :: Forget r a b -> a -> Const r b #

Sieve ((->) :: Type -> Type -> Type) Identity # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

sieve :: (a -> b) -> a -> Identity b #

(Sieve p f, Sieve q g) => Sieve (Procompose p q) (Compose g f) # 
Instance details

Defined in Data.Profunctor.Composition

Methods

sieve :: Procompose p q a b -> a -> Compose g f b #

class (Profunctor p, Functor f) => Cosieve p f | p -> f where #

A Profunctor p is a Cosieve on f if it is a subprofunctor of Costar f.

That is to say it is a subset of Hom(f-,=) closed under lmap and rmap.

Alternately, you can view it as a cosieve in the comma category f/Hask.

Methods

cosieve :: p a b -> f a -> b #

Instances
Functor f => Cosieve (Costar f) f # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

cosieve :: Costar f a b -> f a -> b #

Cosieve (Tagged :: Type -> Type -> Type) (Proxy :: Type -> Type) # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

cosieve :: Tagged a b -> Proxy a -> b #

Cosieve ((->) :: Type -> Type -> Type) Identity # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

cosieve :: (a -> b) -> Identity a -> b #

Functor w => Cosieve (Cokleisli w) w # 
Instance details

Defined in Data.Profunctor.Sieve

Methods

cosieve :: Cokleisli w a b -> w a -> b #

(Cosieve p f, Cosieve q g) => Cosieve (Procompose p q) (Compose f g) # 
Instance details

Defined in Data.Profunctor.Composition

Methods

cosieve :: Procompose p q a b -> Compose f g a -> b #