Data.Functor.Extend

Extendable Functors

There are two ways to define an Extend instance:

I. Provide definitions for extended satisfying this law:

extended f . extended g = extended (f . extended g)

II. Alternately, you may choose to provide definitions for duplicated satisfying this law:

duplicated . duplicated = fmap duplicated . duplicated

You may of course, choose to define both duplicated and extended. In that case you must also satisfy these laws:

extended f = fmap f . duplicated
duplicated = extended id

These are the default definitions of extended and duplicated.

class Functor w => Extend w where

Minimal complete definition

duplicated | extended

Methods

duplicated :: w a -> w (w a)

duplicated = extended id
fmap (fmap f) . duplicated = duplicated . fmap f

extended :: (w a -> b) -> w a -> w b

extended f  = fmap f . duplicated

Instances

Extend []

Defined in Data.Functor.Extend

Methods

duplicated :: [a] -> [[a]]

extended :: ([a] -> b) -> [a] -> [b]

Extend Maybe

Defined in Data.Functor.Extend

Methods

duplicated :: Maybe a -> Maybe (Maybe a)

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

Extend Par1

Defined in Data.Functor.Extend

Methods

duplicated :: Par1 a -> Par1 (Par1 a)

extended :: (Par1 a -> b) -> Par1 a -> Par1 b

Extend Min

Defined in Data.Functor.Extend

Methods

duplicated :: Min a -> Min (Min a)

extended :: (Min a -> b) -> Min a -> Min b

Extend Max

Defined in Data.Functor.Extend

Methods

duplicated :: Max a -> Max (Max a)

extended :: (Max a -> b) -> Max a -> Max b

Extend First

Defined in Data.Functor.Extend

Methods

duplicated :: First a -> First (First a)

extended :: (First a -> b) -> First a -> First b

Extend Last

Defined in Data.Functor.Extend

Methods

duplicated :: Last a -> Last (Last a)

extended :: (Last a -> b) -> Last a -> Last b

Extend Identity

Defined in Data.Functor.Extend

Methods

duplicated :: Identity a -> Identity (Identity a)

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

Extend Dual

Defined in Data.Functor.Extend

Methods

duplicated :: Dual a -> Dual (Dual a)

extended :: (Dual a -> b) -> Dual a -> Dual b

Extend Sum

Defined in Data.Functor.Extend

Methods

duplicated :: Sum a -> Sum (Sum a)

extended :: (Sum a -> b) -> Sum a -> Sum b

Extend Product

Defined in Data.Functor.Extend

Methods

duplicated :: Product a -> Product (Product a)

extended :: (Product a -> b) -> Product a -> Product b

Extend NonEmpty

Defined in Data.Functor.Extend

Methods

duplicated :: NonEmpty a -> NonEmpty (NonEmpty a)

extended :: (NonEmpty a -> b) -> NonEmpty a -> NonEmpty b

Extend Tree

Defined in Data.Functor.Extend

Methods

duplicated :: Tree a -> Tree (Tree a)

extended :: (Tree a -> b) -> Tree a -> Tree b

Extend Seq

Defined in Data.Functor.Extend

Methods

duplicated :: Seq a -> Seq (Seq a)

extended :: (Seq a -> b) -> Seq a -> Seq b

Extend (Either a)

Defined in Data.Functor.Extend

Methods

duplicated :: Either a a0 -> Either a (Either a a0)

extended :: (Either a a0 -> b) -> Either a a0 -> Either a b

Extend (V1 :: * -> *)

Defined in Data.Functor.Extend

Methods

duplicated :: V1 a -> V1 (V1 a)

extended :: (V1 a -> b) -> V1 a -> V1 b

Extend (U1 :: * -> *)

Defined in Data.Functor.Extend

Methods

duplicated :: U1 a -> U1 (U1 a)

extended :: (U1 a -> b) -> U1 a -> U1 b

Extend ((,) e)

Defined in Data.Functor.Extend

Methods

duplicated :: (e, a) -> (e, (e, a))

extended :: ((e, a) -> b) -> (e, a) -> (e, b)

Extend (Proxy :: * -> *)

Defined in Data.Functor.Extend

Methods

duplicated :: Proxy a -> Proxy (Proxy a)

extended :: (Proxy a -> b) -> Proxy a -> Proxy b

Extend f => Extend (MaybeApply f)

Defined in Data.Functor.Bind.Class

Methods

duplicated :: MaybeApply f a -> MaybeApply f (MaybeApply f a)

extended :: (MaybeApply f a -> b) -> MaybeApply f a -> MaybeApply f b

Extend f => Extend (Rec1 f)

Defined in Data.Functor.Extend

Methods

duplicated :: Rec1 f a -> Rec1 f (Rec1 f a)

extended :: (Rec1 f a -> b) -> Rec1 f a -> Rec1 f b

Extend f => Extend (Alt f)

Defined in Data.Functor.Extend

Methods

duplicated :: Alt f a -> Alt f (Alt f a)

extended :: (Alt f a -> b) -> Alt f a -> Alt f b

(Extend w, Semigroup m) => Extend (TracedT m w)

Defined in Data.Functor.Extend

Methods

duplicated :: TracedT m w a -> TracedT m w (TracedT m w a)

extended :: (TracedT m w a -> b) -> TracedT m w a -> TracedT m w b

Extend w => Extend (StoreT s w)

Defined in Data.Functor.Extend

Methods

duplicated :: StoreT s w a -> StoreT s w (StoreT s w a)

extended :: (StoreT s w a -> b) -> StoreT s w a -> StoreT s w b

Extend w => Extend (EnvT e w)

Defined in Data.Functor.Extend

Methods

duplicated :: EnvT e w a -> EnvT e w (EnvT e w a)

extended :: (EnvT e w a -> b) -> EnvT e w a -> EnvT e w b

Extend w => Extend (IdentityT w)

Defined in Data.Functor.Extend

Methods

duplicated :: IdentityT w a -> IdentityT w (IdentityT w a)

extended :: (IdentityT w a -> b) -> IdentityT w a -> IdentityT w b

Extend (Tagged a)

Defined in Data.Functor.Extend

Methods

duplicated :: Tagged a a0 -> Tagged a (Tagged a a0)

extended :: (Tagged a a0 -> b) -> Tagged a a0 -> Tagged a b

(Extend f, Semigroup a) => Extend (Static f a)

Defined in Data.Semigroupoid.Static

Methods

duplicated :: Static f a a0 -> Static f a (Static f a a0)

extended :: (Static f a a0 -> b) -> Static f a a0 -> Static f a b

Semigroup m => Extend ((->) m :: * -> *)

Defined in Data.Functor.Extend

Methods

duplicated :: (m -> a) -> m -> m -> a

extended :: ((m -> a) -> b) -> (m -> a) -> m -> b

(Extend f, Extend g) => Extend (f :+: g)

Defined in Data.Functor.Extend

Methods

duplicated :: (f :+: g) a -> (f :+: g) ((f :+: g) a)

extended :: ((f :+: g) a -> b) -> (f :+: g) a -> (f :+: g) b

(Extend f, Extend g) => Extend (Sum f g)

Defined in Data.Functor.Extend

Methods

duplicated :: Sum f g a -> Sum f g (Sum f g a)

extended :: (Sum f g a -> b) -> Sum f g a -> Sum f g b

Extend f => Extend (M1 i t f)

Defined in Data.Functor.Extend

Methods

duplicated :: M1 i t f a -> M1 i t f (M1 i t f a)

extended :: (M1 i t f a -> b) -> M1 i t f a -> M1 i t f b