Pandora.Pattern.Functor.Covariant

Documentation

class Covariant (t :: * -> *) where

When providing a new instance, you should ensure it satisfies the two laws:
* Identity morphism: comap identity ≡ identity
* Composition of morphisms: comap (f . g) ≡ comap f . comap g

Minimal complete definition

(<$>)

Methods

(<$>) :: (a -> b) -> t a -> t b infixl 4

Infix version of comap

comap :: (a -> b) -> t a -> t b

Prefix version of <$>

(<$) :: a -> t b -> t a infixl 4

Replace all locations in the input with the same value

($>) :: t a -> b -> t b infixl 4

Flipped version of <$

void :: t a -> t ()

Discards the result of evaluation

Instances

Covariant Wye

Defined in Pandora.Paradigm.Basis.Wye

Methods

(<$>) :: (a -> b) -> Wye a -> Wye b

comap :: (a -> b) -> Wye a -> Wye b

(<$) :: a -> Wye b -> Wye a

($>) :: Wye a -> b -> Wye b

void :: Wye a -> Wye ()

Covariant Edges

Defined in Pandora.Paradigm.Basis.Edges

Methods

(<$>) :: (a -> b) -> Edges a -> Edges b

comap :: (a -> b) -> Edges a -> Edges b

(<$) :: a -> Edges b -> Edges a

($>) :: Edges a -> b -> Edges b

void :: Edges a -> Edges ()

Covariant Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(<$>) :: (a -> b) -> Identity a -> Identity b

comap :: (a -> b) -> Identity a -> Identity b

(<$) :: a -> Identity b -> Identity a

($>) :: Identity a -> b -> Identity b

void :: Identity a -> Identity ()

Covariant Maybe

Defined in Pandora.Paradigm.Basis.Maybe

Methods

(<$>) :: (a -> b) -> Maybe a -> Maybe b

comap :: (a -> b) -> Maybe a -> Maybe b

(<$) :: a -> Maybe b -> Maybe a

($>) :: Maybe a -> b -> Maybe b

void :: Maybe a -> Maybe ()

Covariant (Yoneda t)

Defined in Pandora.Paradigm.Basis.Yoneda

Methods

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

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

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

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

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

Covariant t => Covariant (Free t)

Defined in Pandora.Paradigm.Basis.Free

Methods

(<$>) :: (a -> b) -> Free t a -> Free t b

comap :: (a -> b) -> Free t a -> Free t b

(<$) :: a -> Free t b -> Free t a

($>) :: Free t a -> b -> Free t b

void :: Free t a -> Free t ()

Covariant (Product a)

Defined in Pandora.Paradigm.Basis.Product

Methods

(<$>) :: (a0 -> b) -> Product a a0 -> Product a b

comap :: (a0 -> b) -> Product a a0 -> Product a b

(<$) :: a0 -> Product a b -> Product a a0

($>) :: Product a a0 -> b -> Product a b

void :: Product a a0 -> Product a ()

Covariant t => Covariant (Jack t)

Defined in Pandora.Paradigm.Basis.Jack

Methods

(<$>) :: (a -> b) -> Jack t a -> Jack t b

comap :: (a -> b) -> Jack t a -> Jack t b

(<$) :: a -> Jack t b -> Jack t a

($>) :: Jack t a -> b -> Jack t b

void :: Jack t a -> Jack t ()

Covariant (Conclusion e)

Defined in Pandora.Paradigm.Basis.Conclusion

Methods

(<$>) :: (a -> b) -> Conclusion e a -> Conclusion e b

comap :: (a -> b) -> Conclusion e a -> Conclusion e b

(<$) :: a -> Conclusion e b -> Conclusion e a

($>) :: Conclusion e a -> b -> Conclusion e b

void :: Conclusion e a -> Conclusion e ()

Covariant t => Covariant (Cofree t)

Defined in Pandora.Paradigm.Basis.Cofree

Methods

(<$>) :: (a -> b) -> Cofree t a -> Cofree t b

comap :: (a -> b) -> Cofree t a -> Cofree t b

(<$) :: a -> Cofree t b -> Cofree t a

($>) :: Cofree t a -> b -> Cofree t b

void :: Cofree t a -> Cofree t ()

Covariant t => Covariant (Storage p t)

Defined in Pandora.Paradigm.Inventory.Storage

Methods

(<$>) :: (a -> b) -> Storage p t a -> Storage p t b

comap :: (a -> b) -> Storage p t a -> Storage p t b

(<$) :: a -> Storage p t b -> Storage p t a

($>) :: Storage p t a -> b -> Storage p t b

void :: Storage p t a -> Storage p t ()

Covariant t => Covariant (Stateful s t)

Defined in Pandora.Paradigm.Inventory.Stateful

Methods

(<$>) :: (a -> b) -> Stateful s t a -> Stateful s t b

comap :: (a -> b) -> Stateful s t a -> Stateful s t b

(<$) :: a -> Stateful s t b -> Stateful s t a

($>) :: Stateful s t a -> b -> Stateful s t b

void :: Stateful s t a -> Stateful s t ()

Covariant (Constant a :: Type -> Type)

Defined in Pandora.Paradigm.Basis.Constant

Methods

(<$>) :: (a0 -> b) -> Constant a a0 -> Constant a b

comap :: (a0 -> b) -> Constant a a0 -> Constant a b

(<$) :: a0 -> Constant a b -> Constant a a0

($>) :: Constant a a0 -> b -> Constant a b

void :: Constant a a0 -> Constant a ()

Covariant ((->) a :: Type -> Type)

Defined in Pandora.Pattern.Functor.Covariant

Methods

(<$>) :: (a0 -> b) -> (a -> a0) -> a -> b

comap :: (a0 -> b) -> (a -> a0) -> a -> b

(<$) :: a0 -> (a -> b) -> a -> a0

($>) :: (a -> a0) -> b -> a -> b

void :: (a -> a0) -> a -> ()

Covariant (Ran t u b)

Defined in Pandora.Paradigm.Junction.Kan

Methods

(<$>) :: (a -> b0) -> Ran t u b a -> Ran t u b b0

comap :: (a -> b0) -> Ran t u b a -> Ran t u b b0

(<$) :: a -> Ran t u b b0 -> Ran t u b a

($>) :: Ran t u b a -> b0 -> Ran t u b b0

void :: Ran t u b a -> Ran t u b ()

Covariant t => Covariant (Continuation r t)

Defined in Pandora.Paradigm.Basis.Continuation

Methods

(<$>) :: (a -> b) -> Continuation r t a -> Continuation r t b

comap :: (a -> b) -> Continuation r t a -> Continuation r t b

(<$) :: a -> Continuation r t b -> Continuation r t a

($>) :: Continuation r t a -> b -> Continuation r t b

void :: Continuation r t a -> Continuation r t ()

Covariant t => Covariant (Environmental e t)

Defined in Pandora.Paradigm.Inventory.Environmental

Methods

(<$>) :: (a -> b) -> Environmental e t a -> Environmental e t b

comap :: (a -> b) -> Environmental e t a -> Environmental e t b

(<$) :: a -> Environmental e t b -> Environmental e t a

($>) :: Environmental e t a -> b -> Environmental e t b

void :: Environmental e t a -> Environmental e t ()

(Covariant (t u), Covariant u) => Covariant (Y t u)

Defined in Pandora.Paradigm.Junction.Transformer

Methods

(<$>) :: (a -> b) -> Y t u a -> Y t u b

comap :: (a -> b) -> Y t u a -> Y t u b

(<$) :: a -> Y t u b -> Y t u a

($>) :: Y t u a -> b -> Y t u b

void :: Y t u a -> Y t u ()

(Covariant t, Covariant u) => Covariant (T t u)

Defined in Pandora.Paradigm.Junction.Transformer

Methods

(<$>) :: (a -> b) -> T t u a -> T t u b

comap :: (a -> b) -> T t u a -> T t u b

(<$) :: a -> T t u b -> T t u a

($>) :: T t u a -> b -> T t u b

void :: T t u a -> T t u ()

(Covariant t, Covariant u) => Covariant (U Co Co t u)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> U Co Co t u a -> U Co Co t u b

comap :: (a -> b) -> U Co Co t u a -> U Co Co t u b

(<$) :: a -> U Co Co t u b -> U Co Co t u a

($>) :: U Co Co t u a -> b -> U Co Co t u b

void :: U Co Co t u a -> U Co Co t u ()

(Contravariant t, Contravariant u) => Covariant (U Contra Contra t u)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> U Contra Contra t u a -> U Contra Contra t u b

comap :: (a -> b) -> U Contra Contra t u a -> U Contra Contra t u b

(<$) :: a -> U Contra Contra t u b -> U Contra Contra t u a

($>) :: U Contra Contra t u a -> b -> U Contra Contra t u b

void :: U Contra Contra t u a -> U Contra Contra t u ()

(Covariant t, Covariant u, Covariant v) => Covariant (UU Co Co Co t u v)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UU Co Co Co t u v a -> UU Co Co Co t u v b

comap :: (a -> b) -> UU Co Co Co t u v a -> UU Co Co Co t u v b

(<$) :: a -> UU Co Co Co t u v b -> UU Co Co Co t u v a

($>) :: UU Co Co Co t u v a -> b -> UU Co Co Co t u v b

void :: UU Co Co Co t u v a -> UU Co Co Co t u v ()

(Covariant t, Contravariant u, Contravariant v) => Covariant (UU Co Contra Contra t u v)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UU Co Contra Contra t u v a -> UU Co Contra Contra t u v b

comap :: (a -> b) -> UU Co Contra Contra t u v a -> UU Co Contra Contra t u v b

(<$) :: a -> UU Co Contra Contra t u v b -> UU Co Contra Contra t u v a

($>) :: UU Co Contra Contra t u v a -> b -> UU Co Contra Contra t u v b

void :: UU Co Contra Contra t u v a -> UU Co Contra Contra t u v ()

(Contravariant t, Covariant u, Contravariant v) => Covariant (UU Contra Co Contra t u v)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UU Contra Co Contra t u v a -> UU Contra Co Contra t u v b

comap :: (a -> b) -> UU Contra Co Contra t u v a -> UU Contra Co Contra t u v b

(<$) :: a -> UU Contra Co Contra t u v b -> UU Contra Co Contra t u v a

($>) :: UU Contra Co Contra t u v a -> b -> UU Contra Co Contra t u v b

void :: UU Contra Co Contra t u v a -> UU Contra Co Contra t u v ()

(Contravariant t, Contravariant u, Covariant v) => Covariant (UU Contra Contra Co t u v)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UU Contra Contra Co t u v a -> UU Contra Contra Co t u v b

comap :: (a -> b) -> UU Contra Contra Co t u v a -> UU Contra Contra Co t u v b

(<$) :: a -> UU Contra Contra Co t u v b -> UU Contra Contra Co t u v a

($>) :: UU Contra Contra Co t u v a -> b -> UU Contra Contra Co t u v b

void :: UU Contra Contra Co t u v a -> UU Contra Contra Co t u v ()

(Covariant t, Covariant u, Covariant v, Covariant w) => Covariant (UUU Co Co Co Co t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Co Co Co Co t u v w a -> UUU Co Co Co Co t u v w b

comap :: (a -> b) -> UUU Co Co Co Co t u v w a -> UUU Co Co Co Co t u v w b

(<$) :: a -> UUU Co Co Co Co t u v w b -> UUU Co Co Co Co t u v w a

($>) :: UUU Co Co Co Co t u v w a -> b -> UUU Co Co Co Co t u v w b

void :: UUU Co Co Co Co t u v w a -> UUU Co Co Co Co t u v w ()

(Covariant t, Covariant u, Contravariant v, Contravariant w) => Covariant (UUU Co Co Contra Contra t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Co Co Contra Contra t u v w a -> UUU Co Co Contra Contra t u v w b

comap :: (a -> b) -> UUU Co Co Contra Contra t u v w a -> UUU Co Co Contra Contra t u v w b

(<$) :: a -> UUU Co Co Contra Contra t u v w b -> UUU Co Co Contra Contra t u v w a

($>) :: UUU Co Co Contra Contra t u v w a -> b -> UUU Co Co Contra Contra t u v w b

void :: UUU Co Co Contra Contra t u v w a -> UUU Co Co Contra Contra t u v w ()

(Covariant t, Contravariant u, Covariant v, Contravariant w) => Covariant (UUU Co Contra Co Contra t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Co Contra Co Contra t u v w a -> UUU Co Contra Co Contra t u v w b

comap :: (a -> b) -> UUU Co Contra Co Contra t u v w a -> UUU Co Contra Co Contra t u v w b

(<$) :: a -> UUU Co Contra Co Contra t u v w b -> UUU Co Contra Co Contra t u v w a

($>) :: UUU Co Contra Co Contra t u v w a -> b -> UUU Co Contra Co Contra t u v w b

void :: UUU Co Contra Co Contra t u v w a -> UUU Co Contra Co Contra t u v w ()

(Covariant t, Contravariant u, Contravariant v, Covariant w) => Covariant (UUU Co Contra Contra Co t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Co Contra Contra Co t u v w a -> UUU Co Contra Contra Co t u v w b

comap :: (a -> b) -> UUU Co Contra Contra Co t u v w a -> UUU Co Contra Contra Co t u v w b

(<$) :: a -> UUU Co Contra Contra Co t u v w b -> UUU Co Contra Contra Co t u v w a

($>) :: UUU Co Contra Contra Co t u v w a -> b -> UUU Co Contra Contra Co t u v w b

void :: UUU Co Contra Contra Co t u v w a -> UUU Co Contra Contra Co t u v w ()

(Contravariant t, Covariant u, Covariant v, Contravariant w) => Covariant (UUU Contra Co Co Contra t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Contra Co Co Contra t u v w a -> UUU Contra Co Co Contra t u v w b

comap :: (a -> b) -> UUU Contra Co Co Contra t u v w a -> UUU Contra Co Co Contra t u v w b

(<$) :: a -> UUU Contra Co Co Contra t u v w b -> UUU Contra Co Co Contra t u v w a

($>) :: UUU Contra Co Co Contra t u v w a -> b -> UUU Contra Co Co Contra t u v w b

void :: UUU Contra Co Co Contra t u v w a -> UUU Contra Co Co Contra t u v w ()

(Contravariant t, Covariant u, Contravariant v, Covariant w) => Covariant (UUU Contra Co Contra Co t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Contra Co Contra Co t u v w a -> UUU Contra Co Contra Co t u v w b

comap :: (a -> b) -> UUU Contra Co Contra Co t u v w a -> UUU Contra Co Contra Co t u v w b

(<$) :: a -> UUU Contra Co Contra Co t u v w b -> UUU Contra Co Contra Co t u v w a

($>) :: UUU Contra Co Contra Co t u v w a -> b -> UUU Contra Co Contra Co t u v w b

void :: UUU Contra Co Contra Co t u v w a -> UUU Contra Co Contra Co t u v w ()

(Contravariant t, Contravariant u, Covariant v, Covariant w) => Covariant (UUU Contra Contra Co Co t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Contra Contra Co Co t u v w a -> UUU Contra Contra Co Co t u v w b

comap :: (a -> b) -> UUU Contra Contra Co Co t u v w a -> UUU Contra Contra Co Co t u v w b

(<$) :: a -> UUU Contra Contra Co Co t u v w b -> UUU Contra Contra Co Co t u v w a

($>) :: UUU Contra Contra Co Co t u v w a -> b -> UUU Contra Contra Co Co t u v w b

void :: UUU Contra Contra Co Co t u v w a -> UUU Contra Contra Co Co t u v w ()

(Contravariant t, Contravariant u, Contravariant v, Contravariant w) => Covariant (UUU Contra Contra Contra Contra t u v w)

Defined in Pandora.Paradigm.Junction.Composition

Methods

(<$>) :: (a -> b) -> UUU Contra Contra Contra Contra t u v w a -> UUU Contra Contra Contra Contra t u v w b

comap :: (a -> b) -> UUU Contra Contra Contra Contra t u v w a -> UUU Contra Contra Contra Contra t u v w b

(<$) :: a -> UUU Contra Contra Contra Contra t u v w b -> UUU Contra Contra Contra Contra t u v w a

($>) :: UUU Contra Contra Contra Contra t u v w a -> b -> UUU Contra Contra Contra Contra t u v w b

void :: UUU Contra Contra Contra Contra t u v w a -> UUU Contra Contra Contra Contra t u v w ()