pandora-0.1.8: A box of patterns and paradigms

Safe HaskellSafe
LanguageHaskell2010

Pandora.Paradigm.Basis.Yoneda

Documentation

newtype Yoneda t a Source #

Constructors

Yoneda 

Fields

  • yoneda :: forall b. (a -> b) -> t b
     
Instances
Covariant (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

(<$>) :: (a -> b) -> Yoneda t a -> Yoneda t b Source #

comap :: (a -> b) -> Yoneda t a -> Yoneda t b Source #

(<$) :: a -> Yoneda t b -> Yoneda t a Source #

($>) :: Yoneda t a -> b -> Yoneda t b Source #

void :: Yoneda t a -> Yoneda t () Source #

loeb :: Yoneda t (Yoneda t a -> a) -> Yoneda t a Source #

(<&>) :: Yoneda t a -> (a -> b) -> Yoneda t b Source #

(<$$>) :: Covariant u => (a -> b) -> ((Yoneda t :.: u) >< a) -> (Yoneda t :.: u) >< b Source #

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Yoneda t :.: (u :.: v)) >< a) -> (Yoneda t :.: (u :.: v)) >< b Source #

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a -> b) -> ((Yoneda t :.: (u :.: (v :.: w))) >< a) -> (Yoneda t :.: (u :.: (v :.: w))) >< b Source #

(<&&>) :: Covariant u => ((Yoneda t :.: u) >< a) -> (a -> b) -> (Yoneda t :.: u) >< b Source #

(<&&&>) :: (Covariant u, Covariant v) => ((Yoneda t :.: (u :.: v)) >< a) -> (a -> b) -> (Yoneda t :.: (u :.: v)) >< b Source #

(<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Yoneda t :.: (u :.: (v :.: w))) >< a) -> (a -> b) -> (Yoneda t :.: (u :.: (v :.: w))) >< b Source #

Applicative t => Applicative (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

(<*>) :: Yoneda t (a -> b) -> Yoneda t a -> Yoneda t b Source #

apply :: Yoneda t (a -> b) -> Yoneda t a -> Yoneda t b Source #

(*>) :: Yoneda t a -> Yoneda t b -> Yoneda t b Source #

(<*) :: Yoneda t a -> Yoneda t b -> Yoneda t a Source #

forever :: Yoneda t a -> Yoneda t b Source #

(<**>) :: Applicative u => (Yoneda t :.: u) (a -> b) -> (Yoneda t :.: u) a -> (Yoneda t :.: u) b Source #

(<***>) :: (Applicative u, Applicative v) => (Yoneda t :.: (u :.: v)) (a -> b) -> (Yoneda t :.: (u :.: v)) a -> (Yoneda t :.: (u :.: v)) b Source #

(<****>) :: (Applicative u, Applicative v, Applicative w) => (Yoneda t :.: (u :.: (v :.: w))) (a -> b) -> (Yoneda t :.: (u :.: (v :.: w))) a -> (Yoneda t :.: (u :.: (v :.: w))) b Source #

Alternative t => Alternative (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

(<+>) :: Yoneda t a -> Yoneda t a -> Yoneda t a Source #

alter :: Yoneda t a -> Yoneda t a -> Yoneda t a Source #

Avoidable t => Avoidable (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

idle :: Yoneda t a Source #

Extractable t => Extractable (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

extract :: Yoneda t a -> a Source #

Pointable t => Pointable (Yoneda t) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

point :: a -> Yoneda t a Source #

(Extractable t, Pointable t, Extractable u, Pointable u) => Adjoint (Yoneda t) (Yoneda u) Source # 
Instance details

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

phi :: (Yoneda t a -> b) -> a -> Yoneda u b Source #

psi :: (a -> Yoneda u b) -> Yoneda t a -> b Source #

eta :: a -> (Yoneda u :.: Yoneda t) a Source #

epsilon :: (Yoneda t :.: Yoneda u) a -> a Source #