Data.Profunctor.Mapping

Documentation

class (Traversing p, Closed p) => Mapping p where

Minimal complete definition

map'

Methods

map' :: Functor f => p a b -> p (f a) (f b)

Laws:

map' . rmap f ≡ rmap (fmap f) . map'
map' . map' ≡ dimap Compose getCompose . map'
dimap Identity runIdentity . map' ≡ id

Instances

Mapping (->)

Methods

map' :: Functor f => (a -> b) -> f a -> f b

(Monad m, Distributive m) => Mapping (Kleisli m)

Methods

map' :: Functor f => Kleisli m a b -> Kleisli m (f a) (f b)

(Applicative m, Distributive m) => Mapping (Star m)

Methods

map' :: Functor f => Star m a b -> Star m (f a) (f b)

Mapping (FreeMapping p)

Methods

map' :: Functor f => FreeMapping p a b -> FreeMapping p (f a) (f b)

Profunctor p => Mapping (CofreeMapping p)

Methods

map' :: Functor f => CofreeMapping p a b -> CofreeMapping p (f a) (f b)

Mapping p => Mapping (Coyoneda p)

Methods

map' :: Functor f => Coyoneda p a b -> Coyoneda p (f a) (f b)

Mapping p => Mapping (Yoneda p)

Methods

map' :: Functor f => Yoneda p a b -> Yoneda p (f a) (f b)

(Mapping p, Mapping q) => Mapping (Procompose p q)

Methods

map' :: Functor f => Procompose p q a b -> Procompose p q (f a) (f b)

newtype CofreeMapping p a b

Constructors

CofreeMapping

Fields

• runCofreeMapping :: forall f. Functor f => p (f a) (f b)

Instances

ProfunctorComonad CofreeMapping

Methods

proextract :: Profunctor p => CofreeMapping p :-> p

produplicate :: Profunctor p => CofreeMapping p :-> CofreeMapping (CofreeMapping p)

ProfunctorFunctor CofreeMapping

Methods

promap :: Profunctor p => (p :-> q) -> CofreeMapping p :-> CofreeMapping q

Profunctor p => Profunctor (CofreeMapping p)

Methods

dimap :: (a -> b) -> (c -> d) -> CofreeMapping p b c -> CofreeMapping p a d

lmap :: (a -> b) -> CofreeMapping p b c -> CofreeMapping p a c

rmap :: (b -> c) -> CofreeMapping p a b -> CofreeMapping p a c

(#.) :: Coercible * c b => (b -> c) -> CofreeMapping p a b -> CofreeMapping p a c

(.#) :: Coercible * b a => CofreeMapping p b c -> (a -> b) -> CofreeMapping p a c

Profunctor p => Strong (CofreeMapping p)

Methods

first' :: CofreeMapping p a b -> CofreeMapping p (a, c) (b, c)

second' :: CofreeMapping p a b -> CofreeMapping p (c, a) (c, b)

Profunctor p => Choice (CofreeMapping p)

Methods

left' :: CofreeMapping p a b -> CofreeMapping p (Either a c) (Either b c)

right' :: CofreeMapping p a b -> CofreeMapping p (Either c a) (Either c b)

Profunctor p => Closed (CofreeMapping p)

Methods

closed :: CofreeMapping p a b -> CofreeMapping p (x -> a) (x -> b)

Profunctor p => Traversing (CofreeMapping p)

Methods

traverse' :: Traversable f => CofreeMapping p a b -> CofreeMapping p (f a) (f b)

wander :: (forall f. Applicative f => (a -> f b) -> s -> f t) -> CofreeMapping p a b -> CofreeMapping p s t

Profunctor p => Mapping (CofreeMapping p)

Methods

map' :: Functor f => CofreeMapping p a b -> CofreeMapping p (f a) (f b)

data FreeMapping p a b where

FreeMapping -| CofreeMapping

Constructors

FreeMapping :: Functor f => (f y -> b) -> p x y -> (a -> f x) -> FreeMapping p a b

Instances

ProfunctorMonad FreeMapping

Methods

proreturn :: Profunctor p => p :-> FreeMapping p

projoin :: Profunctor p => FreeMapping (FreeMapping p) :-> FreeMapping p

ProfunctorFunctor FreeMapping

Methods

promap :: Profunctor p => (p :-> q) -> FreeMapping p :-> FreeMapping q

Profunctor (FreeMapping p)

Methods

dimap :: (a -> b) -> (c -> d) -> FreeMapping p b c -> FreeMapping p a d

lmap :: (a -> b) -> FreeMapping p b c -> FreeMapping p a c

rmap :: (b -> c) -> FreeMapping p a b -> FreeMapping p a c

(#.) :: Coercible * c b => (b -> c) -> FreeMapping p a b -> FreeMapping p a c

(.#) :: Coercible * b a => FreeMapping p b c -> (a -> b) -> FreeMapping p a c

Strong (FreeMapping p)

Methods

first' :: FreeMapping p a b -> FreeMapping p (a, c) (b, c)

second' :: FreeMapping p a b -> FreeMapping p (c, a) (c, b)

Choice (FreeMapping p)

Methods

left' :: FreeMapping p a b -> FreeMapping p (Either a c) (Either b c)

right' :: FreeMapping p a b -> FreeMapping p (Either c a) (Either c b)

Closed (FreeMapping p)

Methods

closed :: FreeMapping p a b -> FreeMapping p (x -> a) (x -> b)

Traversing (FreeMapping p)

Methods

traverse' :: Traversable f => FreeMapping p a b -> FreeMapping p (f a) (f b)

wander :: (forall f. Applicative f => (a -> f b) -> s -> f t) -> FreeMapping p a b -> FreeMapping p s t

Mapping (FreeMapping p)

Methods

map' :: Functor f => FreeMapping p a b -> FreeMapping p (f a) (f b)

Closed in terms of Mapping

traverseMapping :: (Mapping p, Functor f) => p a b -> p (f a) (f b)

closedMapping :: Mapping p => p a b -> p (x -> a) (x -> b)