Copyright	(C) 2011-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Functor.Apply

Contents

Description

Synopsis

class Functor (f :: * -> *) where
(<$>) :: Functor f => (a -> b) -> f a -> f b
($>) :: Functor f => f a -> b -> f b
class Functor f => Apply f where
(<..>) :: Apply w => w a -> w (a -> b) -> w b
liftF3 :: Apply w => (a -> b -> c -> d) -> w a -> w b -> w c -> w d
newtype WrappedApplicative f a = WrapApplicative {
- unwrapApplicative :: f a
}
newtype MaybeApply f a = MaybeApply {
- runMaybeApply :: Either (f a) a
}

Functors

class Functor (f :: * -> *) where #

The Functor class is used for types that can be mapped over. Instances of Functor should satisfy the following laws:

fmap id == id fmap (f . g) == fmap f . fmap g

The instances of Functor for lists, Maybe and IO satisfy these laws.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b #

(<$) :: a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Instances

Functor []	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> [a] -> [b] # (<$) :: a -> [b] -> [a] #
Functor Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b # (<$) :: a -> Maybe b -> Maybe a #
Functor IO	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> IO a -> IO b # (<$) :: a -> IO b -> IO a #
Functor Par1
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> Par1 a -> Par1 b # (<$) :: a -> Par1 b -> Par1 a #
Functor Q
Instance details Defined in Language.Haskell.TH.Syntax Methods fmap :: (a -> b) -> Q a -> Q b # (<$) :: a -> Q b -> Q a #
Functor Complex
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b # (<$) :: a -> Complex b -> Complex a #
Functor Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Min a -> Min b # (<$) :: a -> Min b -> Min a #
Functor Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Max a -> Max b # (<$) :: a -> Max b -> Max a #
Functor First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
Functor Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
Functor Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Option a -> Option b # (<$) :: a -> Option b -> Option a #
Functor ZipList
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> ZipList a -> ZipList b # (<$) :: a -> ZipList b -> ZipList a #
Functor Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fmap :: (a -> b) -> Identity a -> Identity b # (<$) :: a -> Identity b -> Identity a #
Functor Handler	Since: base-4.6.0.0
Instance details Defined in Control.Exception Methods fmap :: (a -> b) -> Handler a -> Handler b # (<$) :: a -> Handler b -> Handler a #
Functor STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods fmap :: (a -> b) -> STM a -> STM b # (<$) :: a -> STM b -> STM a #
Functor First
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
Functor Last
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
Functor Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Dual a -> Dual b # (<$) :: a -> Dual b -> Dual a #
Functor Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Sum a -> Sum b # (<$) :: a -> Sum b -> Sum a #
Functor Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Product a -> Product b # (<$) :: a -> Product b -> Product a #
Functor Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b # (<$) :: a -> Down b -> Down a #
Functor ReadP	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> ReadP a -> ReadP b # (<$) :: a -> ReadP b -> ReadP a #
Functor NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b # (<$) :: a -> NonEmpty b -> NonEmpty a #
Functor IntMap
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> IntMap a -> IntMap b # (<$) :: a -> IntMap b -> IntMap a #
Functor Tree
Instance details Defined in Data.Tree Methods fmap :: (a -> b) -> Tree a -> Tree b # (<$) :: a -> Tree b -> Tree a #
Functor Seq
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
Functor FingerTree
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b # (<$) :: a -> FingerTree b -> FingerTree a #
Functor Digit
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Digit a -> Digit b # (<$) :: a -> Digit b -> Digit a #
Functor Node
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Node a -> Node b # (<$) :: a -> Node b -> Node a #
Functor Elem
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Elem a -> Elem b # (<$) :: a -> Elem b -> Elem a #
Functor ViewL
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b # (<$) :: a -> ViewL b -> ViewL a #
Functor ViewR
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b # (<$) :: a -> ViewR b -> ViewR a #
Functor Doc
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Doc a -> Doc b # (<$) :: a -> Doc b -> Doc a #
Functor AnnotDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b # (<$) :: a -> AnnotDetails b -> AnnotDetails a #
Functor Span
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Span a -> Span b # (<$) :: a -> Span b -> Span a #
Functor P
Instance details Defined in Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> P a -> P b # (<$) :: a -> P b -> P a #
Functor (Either a)	Since: base-3.0
Instance details Defined in Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b # (<$) :: a0 -> Either a b -> Either a a0 #
Functor (V1 :: * -> *)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> V1 a -> V1 b # (<$) :: a -> V1 b -> V1 a #
Functor (U1 :: * -> *)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b # (<$) :: a -> U1 b -> U1 a #
Functor ((,) a)	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a0 -> b) -> (a, a0) -> (a, b) # (<$) :: a0 -> (a, b) -> (a, a0) #
Functor (Array i)	Since: base-2.1
Instance details Defined in GHC.Arr Methods fmap :: (a -> b) -> Array i a -> Array i b # (<$) :: a -> Array i b -> Array i a #
Functor (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a0 -> b) -> Arg a a0 -> Arg a b # (<$) :: a0 -> Arg a b -> Arg a a0 #
Monad m => Functor (WrappedMonad m)	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a #
Arrow a => Functor (ArrowMonad a)	Since: base-4.6.0.0
Instance details Defined in Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 #
Functor (Proxy :: * -> *)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b # (<$) :: a -> Proxy b -> Proxy a #
Functor (Map k)
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> Map k a -> Map k b # (<$) :: a -> Map k b -> Map k a #
Functor f => Functor (Lift f)
Instance details Defined in Control.Applicative.Lift Methods fmap :: (a -> b) -> Lift f a -> Lift f b # (<$) :: a -> Lift f b -> Lift f a #
Functor m => Functor (MaybeT m)
Instance details Defined in Control.Monad.Trans.Maybe Methods fmap :: (a -> b) -> MaybeT m a -> MaybeT m b # (<$) :: a -> MaybeT m b -> MaybeT m a #
Functor m => Functor (ListT m)
Instance details Defined in Control.Monad.Trans.List Methods fmap :: (a -> b) -> ListT m a -> ListT m b # (<$) :: a -> ListT m b -> ListT m a #
Functor (HashMap k)
Instance details Defined in Data.HashMap.Base Methods fmap :: (a -> b) -> HashMap k a -> HashMap k b # (<$) :: a -> HashMap k b -> HashMap k a #
Functor f => Functor (MaybeApply f) #
Instance details Defined in Data.Functor.Bind.Class Methods fmap :: (a -> b) -> MaybeApply f a -> MaybeApply f b # (<$) :: a -> MaybeApply f b -> MaybeApply f a #
Functor f => Functor (WrappedApplicative f) #
Instance details Defined in Data.Functor.Bind.Class Methods fmap :: (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b # (<$) :: a -> WrappedApplicative f b -> WrappedApplicative f a #
Functor f => Functor (Rec1 f)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> Rec1 f a -> Rec1 f b # (<$) :: a -> Rec1 f b -> Rec1 f a #
Functor (URec Char :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Functor (URec Double :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Functor (URec Float :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Functor (URec Int :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Functor (URec Word :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Functor (URec (Ptr ()) :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #
Arrow a => Functor (WrappedArrow a b)	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
Functor (Const m :: * -> *)	Since: base-2.1
Instance details Defined in Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b # (<$) :: a -> Const m b -> Const m a #
Functor f => Functor (Alt f)
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Alt f a -> Alt f b # (<$) :: a -> Alt f b -> Alt f a #
Bifunctor p => Functor (Join p)
Instance details Defined in Data.Bifunctor.Join Methods fmap :: (a -> b) -> Join p a -> Join p b # (<$) :: a -> Join p b -> Join p a #
Functor w => Functor (TracedT m w)
Instance details Defined in Control.Comonad.Trans.Traced Methods fmap :: (a -> b) -> TracedT m w a -> TracedT m w b # (<$) :: a -> TracedT m w b -> TracedT m w a #
Functor w => Functor (StoreT s w)
Instance details Defined in Control.Comonad.Trans.Store Methods fmap :: (a -> b) -> StoreT s w a -> StoreT s w b # (<$) :: a -> StoreT s w b -> StoreT s w a #
Functor w => Functor (EnvT e w)
Instance details Defined in Control.Comonad.Trans.Env Methods fmap :: (a -> b) -> EnvT e w a -> EnvT e w b # (<$) :: a -> EnvT e w b -> EnvT e w a #
Functor m => Functor (IdentityT m)
Instance details Defined in Control.Monad.Trans.Identity Methods fmap :: (a -> b) -> IdentityT m a -> IdentityT m b # (<$) :: a -> IdentityT m b -> IdentityT m a #
(Applicative f, Monad f) => Functor (WhenMissing f x)	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a #
Functor (Tagged s)
Instance details Defined in Data.Tagged Methods fmap :: (a -> b) -> Tagged s a -> Tagged s b # (<$) :: a -> Tagged s b -> Tagged s a #
Functor f => Functor (Reverse f)	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods fmap :: (a -> b) -> Reverse f a -> Reverse f b # (<$) :: a -> Reverse f b -> Reverse f a #
Functor (Constant a :: * -> *)
Instance details Defined in Data.Functor.Constant Methods fmap :: (a0 -> b) -> Constant a a0 -> Constant a b # (<$) :: a0 -> Constant a b -> Constant a a0 #
Functor m => Functor (WriterT w m)
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods fmap :: (a -> b) -> WriterT w m a -> WriterT w m b # (<$) :: a -> WriterT w m b -> WriterT w m a #
Functor m => Functor (WriterT w m)
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods fmap :: (a -> b) -> WriterT w m a -> WriterT w m b # (<$) :: a -> WriterT w m b -> WriterT w m a #
Functor m => Functor (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Functor m => Functor (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Functor m => Functor (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b # (<$) :: a -> ExceptT e m b -> ExceptT e m a #
Functor m => Functor (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods fmap :: (a -> b) -> ErrorT e m a -> ErrorT e m b # (<$) :: a -> ErrorT e m b -> ErrorT e m a #
Functor f => Functor (Backwards f)	Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods fmap :: (a -> b) -> Backwards f a -> Backwards f b # (<$) :: a -> Backwards f b -> Backwards f a #
Functor f => Functor (Static f a) #
Instance details Defined in Data.Semigroupoid.Static Methods fmap :: (a0 -> b) -> Static f a a0 -> Static f a b # (<$) :: a0 -> Static f a b -> Static f a a0 #
Functor ((->) r :: * -> *)	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> (r -> a) -> r -> b # (<$) :: a -> (r -> b) -> r -> a #
Functor (K1 i c :: * -> *)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> K1 i c a -> K1 i c b # (<$) :: a -> K1 i c b -> K1 i c a #
(Functor f, Functor g) => Functor (f :+: g)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b # (<$) :: a -> (f :+: g) b -> (f :+: g) a #
(Functor f, Functor g) => Functor (f :*: g)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :: g) a -> (f :: g) b # (<$) :: a -> (f :: g) b -> (f :: g) a #
(Functor f, Functor g) => Functor (Product f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods fmap :: (a -> b) -> Product f g a -> Product f g b # (<$) :: a -> Product f g b -> Product f g a #
(Functor f, Functor g) => Functor (Sum f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods fmap :: (a -> b) -> Sum f g a -> Sum f g b # (<$) :: a -> Sum f g b -> Sum f g a #
Functor (Cokleisli w a)
Instance details Defined in Control.Comonad Methods fmap :: (a0 -> b) -> Cokleisli w a a0 -> Cokleisli w a b # (<$) :: a0 -> Cokleisli w a b -> Cokleisli w a a0 #
Functor f => Functor (WhenMatched f x y)	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # (<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a #
(Applicative f, Monad f) => Functor (WhenMissing f k x)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a #
Functor m => Functor (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b # (<$) :: a -> ReaderT r m b -> ReaderT r m a #
Functor (ContT r m)
Instance details Defined in Control.Monad.Trans.Cont Methods fmap :: (a -> b) -> ContT r m a -> ContT r m b # (<$) :: a -> ContT r m b -> ContT r m a #
Functor f => Functor (M1 i c f)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b # (<$) :: a -> M1 i c f b -> M1 i c f a #
(Functor f, Functor g) => Functor (f :.: g)
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b # (<$) :: a -> (f :.: g) b -> (f :.: g) a #
(Functor f, Functor g) => Functor (Compose f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods fmap :: (a -> b) -> Compose f g a -> Compose f g b # (<$) :: a -> Compose f g b -> Compose f g a #
Bifunctor p => Functor (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods fmap :: (a0 -> b) -> WrappedBifunctor p a a0 -> WrappedBifunctor p a b # (<$) :: a0 -> WrappedBifunctor p a b -> WrappedBifunctor p a a0 #
Functor g => Functor (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods fmap :: (a0 -> b) -> Joker g a a0 -> Joker g a b # (<$) :: a0 -> Joker g a b -> Joker g a a0 #
Bifunctor p => Functor (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods fmap :: (a0 -> b) -> Flip p a a0 -> Flip p a b # (<$) :: a0 -> Flip p a b -> Flip p a a0 #
Functor (Clown f a :: * -> *)
Instance details Defined in Data.Bifunctor.Clown Methods fmap :: (a0 -> b) -> Clown f a a0 -> Clown f a b # (<$) :: a0 -> Clown f a b -> Clown f a a0 #
Functor f => Functor (WhenMatched f k x y)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a #
Functor m => Functor (RWST r w s m)
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b # (<$) :: a -> RWST r w s m b -> RWST r w s m a #
Functor m => Functor (RWST r w s m)
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b # (<$) :: a -> RWST r w s m b -> RWST r w s m a #
(Functor f, Bifunctor p) => Functor (Tannen f p a)
Instance details Defined in Data.Bifunctor.Tannen Methods fmap :: (a0 -> b) -> Tannen f p a a0 -> Tannen f p a b # (<$) :: a0 -> Tannen f p a b -> Tannen f p a a0 #
(Bifunctor p, Functor g) => Functor (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b # (<$) :: a0 -> Biff p f g a b -> Biff p f g a a0 #

(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 #

An infix synonym for fmap.

The name of this operator is an allusion to $. Note the similarities between their types:

 ($) :: (a -> b) -> a -> b (<$>) :: Functor f => (a -> b) -> f a -> f b

Whereas $ is function application, <$> is function application lifted over a Functor.

Examples

Expand

Convert from a Maybe Int to a Maybe String using show:

>>> show <$> Nothing Nothing >>> show <$> Just 3 Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> show <$> Left 17 Left 17 >>> show <$> Right 17 Right "17"

Double each element of a list:

>>> (*2) <$> [1,2,3] [2,4,6]

Apply even to the second element of a pair:

>>> even <$> (2,2) (2,True)

($>) :: Functor f => f a -> b -> f b infixl 4 #

Flipped version of <$.

Examples

Expand

Replace the contents of a Maybe Int with a constant String:

>>> Nothing $> "foo" Nothing >>> Just 90210 $> "foo" Just "foo"

Replace the contents of an Either Int Int with a constant String, resulting in an Either Int String:

>>> Left 8675309 $> "foo" Left 8675309 >>> Right 8675309 $> "foo" Right "foo"

Replace each element of a list with a constant String:

>>> [1,2,3] $> "foo" ["foo","foo","foo"]

Replace the second element of a pair with a constant String:

>>> (1,2) $> "foo" (1,"foo")

Since: base-4.7.0.0

Apply - a strong lax semimonoidal endofunctor

class Functor f => Apply f where Source #

A strong lax semi-monoidal endofunctor. This is equivalent to an Applicative without pure.

Laws:

(.) <$> u <.> v <.> w = u <.> (v <.> w) x <.> (f <$> y) = (. f) <$> x <.> y f <$> (x <.> y) = (f .) <$> x <.> y

The laws imply that .> and <. really ignore their left and right results, respectively, and really return their right and left results, respectively. Specifically,

(mf <$> m) .> (nf <$> n) = nf <$> (m .> n) (mf <$> m) <. (nf <$> n) = mf <$> (m <. n)

Minimal complete definition

(<.>) | liftF2

Methods

(<.>) :: f (a -> b) -> f a -> f b infixl 4 Source #

(.>) :: f a -> f b -> f b infixl 4 Source #

 a .> b = const id <$> a <.> b

(<.) :: f a -> f b -> f a infixl 4 Source #

 a <. b = const <$> a <.> b

liftF2 :: (a -> b -> c) -> f a -> f b -> f c Source #

Lift a binary function into a comonad with zipping

Instances

Apply [] Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: [a -> b] -> [a] -> [b] Source # (.>) :: [a] -> [b] -> [b] Source # (<.) :: [a] -> [b] -> [a] Source # liftF2 :: (a -> b -> c) -> [a] -> [b] -> [c] Source #
Apply Maybe Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source # (.>) :: Maybe a -> Maybe b -> Maybe b Source # (<.) :: Maybe a -> Maybe b -> Maybe a Source # liftF2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source #
Apply IO Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: IO (a -> b) -> IO a -> IO b Source # (.>) :: IO a -> IO b -> IO b Source # (<.) :: IO a -> IO b -> IO a Source # liftF2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source #
Apply Par1 Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Par1 (a -> b) -> Par1 a -> Par1 b Source # (.>) :: Par1 a -> Par1 b -> Par1 b Source # (<.) :: Par1 a -> Par1 b -> Par1 a Source # liftF2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c Source #
Apply Q Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Q (a -> b) -> Q a -> Q b Source # (.>) :: Q a -> Q b -> Q b Source # (<.) :: Q a -> Q b -> Q a Source # liftF2 :: (a -> b -> c) -> Q a -> Q b -> Q c Source #
Apply Complex Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Complex (a -> b) -> Complex a -> Complex b Source # (.>) :: Complex a -> Complex b -> Complex b Source # (<.) :: Complex a -> Complex b -> Complex a Source # liftF2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c Source #
Apply Min Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Min (a -> b) -> Min a -> Min b Source # (.>) :: Min a -> Min b -> Min b Source # (<.) :: Min a -> Min b -> Min a Source # liftF2 :: (a -> b -> c) -> Min a -> Min b -> Min c Source #
Apply Max Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Max (a -> b) -> Max a -> Max b Source # (.>) :: Max a -> Max b -> Max b Source # (<.) :: Max a -> Max b -> Max a Source # liftF2 :: (a -> b -> c) -> Max a -> Max b -> Max c Source #
Apply First Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: First (a -> b) -> First a -> First b Source # (.>) :: First a -> First b -> First b Source # (<.) :: First a -> First b -> First a Source # liftF2 :: (a -> b -> c) -> First a -> First b -> First c Source #
Apply Last Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Last (a -> b) -> Last a -> Last b Source # (.>) :: Last a -> Last b -> Last b Source # (<.) :: Last a -> Last b -> Last a Source # liftF2 :: (a -> b -> c) -> Last a -> Last b -> Last c Source #
Apply Option Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Option (a -> b) -> Option a -> Option b Source # (.>) :: Option a -> Option b -> Option b Source # (<.) :: Option a -> Option b -> Option a Source # liftF2 :: (a -> b -> c) -> Option a -> Option b -> Option c Source #
Apply ZipList Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ZipList (a -> b) -> ZipList a -> ZipList b Source # (.>) :: ZipList a -> ZipList b -> ZipList b Source # (<.) :: ZipList a -> ZipList b -> ZipList a Source # liftF2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c Source #
Apply Identity Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Identity (a -> b) -> Identity a -> Identity b Source # (.>) :: Identity a -> Identity b -> Identity b Source # (<.) :: Identity a -> Identity b -> Identity a Source # liftF2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c Source #
Apply First Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: First (a -> b) -> First a -> First b Source # (.>) :: First a -> First b -> First b Source # (<.) :: First a -> First b -> First a Source # liftF2 :: (a -> b -> c) -> First a -> First b -> First c Source #
Apply Last Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Last (a -> b) -> Last a -> Last b Source # (.>) :: Last a -> Last b -> Last b Source # (<.) :: Last a -> Last b -> Last a Source # liftF2 :: (a -> b -> c) -> Last a -> Last b -> Last c Source #
Apply Dual Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Dual (a -> b) -> Dual a -> Dual b Source # (.>) :: Dual a -> Dual b -> Dual b Source # (<.) :: Dual a -> Dual b -> Dual a Source # liftF2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c Source #
Apply Sum Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Sum (a -> b) -> Sum a -> Sum b Source # (.>) :: Sum a -> Sum b -> Sum b Source # (<.) :: Sum a -> Sum b -> Sum a Source # liftF2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c Source #
Apply Product Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Product (a -> b) -> Product a -> Product b Source # (.>) :: Product a -> Product b -> Product b Source # (<.) :: Product a -> Product b -> Product a Source # liftF2 :: (a -> b -> c) -> Product a -> Product b -> Product c Source #
Apply Down Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Down (a -> b) -> Down a -> Down b Source # (.>) :: Down a -> Down b -> Down b Source # (<.) :: Down a -> Down b -> Down a Source # liftF2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source #
Apply NonEmpty Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source # (.>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # (<.) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source # liftF2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source #
Apply IntMap Source #	An IntMap is not `Applicative`, but it is an instance of `Apply`
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: IntMap (a -> b) -> IntMap a -> IntMap b Source # (.>) :: IntMap a -> IntMap b -> IntMap b Source # (<.) :: IntMap a -> IntMap b -> IntMap a Source # liftF2 :: (a -> b -> c) -> IntMap a -> IntMap b -> IntMap c Source #
Apply Tree Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Tree (a -> b) -> Tree a -> Tree b Source # (.>) :: Tree a -> Tree b -> Tree b Source # (<.) :: Tree a -> Tree b -> Tree a Source # liftF2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c Source #
Apply Seq Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Seq (a -> b) -> Seq a -> Seq b Source # (.>) :: Seq a -> Seq b -> Seq b Source # (<.) :: Seq a -> Seq b -> Seq a Source # liftF2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source #
Apply (Either a) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Either a (a0 -> b) -> Either a a0 -> Either a b Source # (.>) :: Either a a0 -> Either a b -> Either a b Source # (<.) :: Either a a0 -> Either a b -> Either a a0 Source # liftF2 :: (a0 -> b -> c) -> Either a a0 -> Either a b -> Either a c Source #
Apply (V1 :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: V1 (a -> b) -> V1 a -> V1 b Source # (.>) :: V1 a -> V1 b -> V1 b Source # (<.) :: V1 a -> V1 b -> V1 a Source # liftF2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c Source #
Apply (U1 :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: U1 (a -> b) -> U1 a -> U1 b Source # (.>) :: U1 a -> U1 b -> U1 b Source # (<.) :: U1 a -> U1 b -> U1 a Source # liftF2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #
Semigroup m => Apply ((,) m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: (m, a -> b) -> (m, a) -> (m, b) Source # (.>) :: (m, a) -> (m, b) -> (m, b) Source # (<.) :: (m, a) -> (m, b) -> (m, a) Source # liftF2 :: (a -> b -> c) -> (m, a) -> (m, b) -> (m, c) Source #
Monad m => Apply (WrappedMonad m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # (.>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # (<.) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source # liftF2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c Source #
Apply (Proxy :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Proxy (a -> b) -> Proxy a -> Proxy b Source # (.>) :: Proxy a -> Proxy b -> Proxy b Source # (<.) :: Proxy a -> Proxy b -> Proxy a Source # liftF2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source #
Ord k => Apply (Map k) Source #	A Map is not `Applicative`, but it is an instance of `Apply`
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Map k (a -> b) -> Map k a -> Map k b Source # (.>) :: Map k a -> Map k b -> Map k b Source # (<.) :: Map k a -> Map k b -> Map k a Source # liftF2 :: (a -> b -> c) -> Map k a -> Map k b -> Map k c Source #
Apply f => Apply (Lift f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Lift f (a -> b) -> Lift f a -> Lift f b Source # (.>) :: Lift f a -> Lift f b -> Lift f b Source # (<.) :: Lift f a -> Lift f b -> Lift f a Source # liftF2 :: (a -> b -> c) -> Lift f a -> Lift f b -> Lift f c Source #
(Functor m, Monad m) => Apply (MaybeT m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b Source # (.>) :: MaybeT m a -> MaybeT m b -> MaybeT m b Source # (<.) :: MaybeT m a -> MaybeT m b -> MaybeT m a Source # liftF2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c Source #
Apply m => Apply (ListT m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ListT m (a -> b) -> ListT m a -> ListT m b Source # (.>) :: ListT m a -> ListT m b -> ListT m b Source # (<.) :: ListT m a -> ListT m b -> ListT m a Source # liftF2 :: (a -> b -> c) -> ListT m a -> ListT m b -> ListT m c Source #
(Hashable k, Eq k) => Apply (HashMap k) Source #	A `HashMap` is not `Applicative`, but it is an instance of `Apply`
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: HashMap k (a -> b) -> HashMap k a -> HashMap k b Source # (.>) :: HashMap k a -> HashMap k b -> HashMap k b Source # (<.) :: HashMap k a -> HashMap k b -> HashMap k a Source # liftF2 :: (a -> b -> c) -> HashMap k a -> HashMap k b -> HashMap k c Source #
Apply f => Apply (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b Source # (.>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b Source # (<.) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a Source # liftF2 :: (a -> b -> c) -> MaybeApply f a -> MaybeApply f b -> MaybeApply f c Source #
Applicative f => Apply (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b Source # (.>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b Source # (<.) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a Source # liftF2 :: (a -> b -> c) -> WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f c Source #
Apply f => Apply (Rec1 f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b Source # (.>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source # (<.) :: Rec1 f a -> Rec1 f b -> Rec1 f a Source # liftF2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #
Arrow a => Apply (WrappedArrow a b) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source # (.>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 Source # (<.) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source # liftF2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c Source #
Semigroup m => Apply (Const m :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Const m (a -> b) -> Const m a -> Const m b Source # (.>) :: Const m a -> Const m b -> Const m b Source # (<.) :: Const m a -> Const m b -> Const m a Source # liftF2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c Source #
Apply f => Apply (Alt f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Alt f (a -> b) -> Alt f a -> Alt f b Source # (.>) :: Alt f a -> Alt f b -> Alt f b Source # (<.) :: Alt f a -> Alt f b -> Alt f a Source # liftF2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source #
Biapply p => Apply (Join p) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Join p (a -> b) -> Join p a -> Join p b Source # (.>) :: Join p a -> Join p b -> Join p b Source # (<.) :: Join p a -> Join p b -> Join p a Source # liftF2 :: (a -> b -> c) -> Join p a -> Join p b -> Join p c Source #
Apply w => Apply (TracedT m w) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: TracedT m w (a -> b) -> TracedT m w a -> TracedT m w b Source # (.>) :: TracedT m w a -> TracedT m w b -> TracedT m w b Source # (<.) :: TracedT m w a -> TracedT m w b -> TracedT m w a Source # liftF2 :: (a -> b -> c) -> TracedT m w a -> TracedT m w b -> TracedT m w c Source #
(Apply w, Semigroup s) => Apply (StoreT s w) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b Source # (.>) :: StoreT s w a -> StoreT s w b -> StoreT s w b Source # (<.) :: StoreT s w a -> StoreT s w b -> StoreT s w a Source # liftF2 :: (a -> b -> c) -> StoreT s w a -> StoreT s w b -> StoreT s w c Source #
(Semigroup e, Apply w) => Apply (EnvT e w) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: EnvT e w (a -> b) -> EnvT e w a -> EnvT e w b Source # (.>) :: EnvT e w a -> EnvT e w b -> EnvT e w b Source # (<.) :: EnvT e w a -> EnvT e w b -> EnvT e w a Source # liftF2 :: (a -> b -> c) -> EnvT e w a -> EnvT e w b -> EnvT e w c Source #
Apply w => Apply (IdentityT w) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: IdentityT w (a -> b) -> IdentityT w a -> IdentityT w b Source # (.>) :: IdentityT w a -> IdentityT w b -> IdentityT w b Source # (<.) :: IdentityT w a -> IdentityT w b -> IdentityT w a Source # liftF2 :: (a -> b -> c) -> IdentityT w a -> IdentityT w b -> IdentityT w c Source #
Apply (Tagged a) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Tagged a (a0 -> b) -> Tagged a a0 -> Tagged a b Source # (.>) :: Tagged a a0 -> Tagged a b -> Tagged a b Source # (<.) :: Tagged a a0 -> Tagged a b -> Tagged a a0 Source # liftF2 :: (a0 -> b -> c) -> Tagged a a0 -> Tagged a b -> Tagged a c Source #
Apply f => Apply (Reverse f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Reverse f (a -> b) -> Reverse f a -> Reverse f b Source # (.>) :: Reverse f a -> Reverse f b -> Reverse f b Source # (<.) :: Reverse f a -> Reverse f b -> Reverse f a Source # liftF2 :: (a -> b -> c) -> Reverse f a -> Reverse f b -> Reverse f c Source #
Semigroup f => Apply (Constant f :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Constant f (a -> b) -> Constant f a -> Constant f b Source # (.>) :: Constant f a -> Constant f b -> Constant f b Source # (<.) :: Constant f a -> Constant f b -> Constant f a Source # liftF2 :: (a -> b -> c) -> Constant f a -> Constant f b -> Constant f c Source #
(Apply m, Semigroup w) => Apply (WriterT w m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # (.>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<.) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source # liftF2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source #
(Apply m, Semigroup w) => Apply (WriterT w m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # (.>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<.) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source # liftF2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source #
Bind m => Apply (StateT s m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # (.>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<.) :: StateT s m a -> StateT s m b -> StateT s m a Source # liftF2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c Source #
Bind m => Apply (StateT s m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # (.>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<.) :: StateT s m a -> StateT s m b -> StateT s m a Source # liftF2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c Source #
(Functor m, Monad m) => Apply (ExceptT e m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b Source # (.>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b Source # (<.) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a Source # liftF2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c Source #
(Functor m, Monad m) => Apply (ErrorT e m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b Source # (.>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b Source # (<.) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a Source # liftF2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c Source #
Apply f => Apply (Backwards f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Backwards f (a -> b) -> Backwards f a -> Backwards f b Source # (.>) :: Backwards f a -> Backwards f b -> Backwards f b Source # (<.) :: Backwards f a -> Backwards f b -> Backwards f a Source # liftF2 :: (a -> b -> c) -> Backwards f a -> Backwards f b -> Backwards f c Source #
Apply f => Apply (Static f a) Source #
Instance details Defined in Data.Semigroupoid.Static Methods (<.>) :: Static f a (a0 -> b) -> Static f a a0 -> Static f a b Source # (.>) :: Static f a a0 -> Static f a b -> Static f a b Source # (<.) :: Static f a a0 -> Static f a b -> Static f a a0 Source # liftF2 :: (a0 -> b -> c) -> Static f a a0 -> Static f a b -> Static f a c Source #
Apply ((->) m :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: (m -> a -> b) -> (m -> a) -> m -> b Source # (.>) :: (m -> a) -> (m -> b) -> m -> b Source # (<.) :: (m -> a) -> (m -> b) -> m -> a Source # liftF2 :: (a -> b -> c) -> (m -> a) -> (m -> b) -> m -> c Source #
Semigroup c => Apply (K1 i c :: * -> *) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b Source # (.>) :: K1 i c a -> K1 i c b -> K1 i c b Source # (<.) :: K1 i c a -> K1 i c b -> K1 i c a Source # liftF2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 Source #
(Apply f, Apply g) => Apply (f :*: g) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: (f :: g) (a -> b) -> (f :: g) a -> (f :: g) b Source # (.>) :: (f :: g) a -> (f :: g) b -> (f :: g) b Source # (<.) :: (f :: g) a -> (f :: g) b -> (f :: g) a Source # liftF2 :: (a -> b -> c) -> (f :: g) a -> (f :: g) b -> (f :: g) c Source #
(Apply f, Apply g) => Apply (Product f g) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Product f g (a -> b) -> Product f g a -> Product f g b Source # (.>) :: Product f g a -> Product f g b -> Product f g b Source # (<.) :: Product f g a -> Product f g b -> Product f g a Source # liftF2 :: (a -> b -> c) -> Product f g a -> Product f g b -> Product f g c Source #
Apply (Cokleisli w a) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Cokleisli w a (a0 -> b) -> Cokleisli w a a0 -> Cokleisli w a b Source # (.>) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a b Source # (<.) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a a0 Source # liftF2 :: (a0 -> b -> c) -> Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a c Source #
Apply m => Apply (ReaderT e m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ReaderT e m (a -> b) -> ReaderT e m a -> ReaderT e m b Source # (.>) :: ReaderT e m a -> ReaderT e m b -> ReaderT e m b Source # (<.) :: ReaderT e m a -> ReaderT e m b -> ReaderT e m a Source # liftF2 :: (a -> b -> c) -> ReaderT e m a -> ReaderT e m b -> ReaderT e m c Source #
Apply (ContT r m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: ContT r m (a -> b) -> ContT r m a -> ContT r m b Source # (.>) :: ContT r m a -> ContT r m b -> ContT r m b Source # (<.) :: ContT r m a -> ContT r m b -> ContT r m a Source # liftF2 :: (a -> b -> c) -> ContT r m a -> ContT r m b -> ContT r m c Source #
Apply f => Apply (M1 i t f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: M1 i t f (a -> b) -> M1 i t f a -> M1 i t f b Source # (.>) :: M1 i t f a -> M1 i t f b -> M1 i t f b Source # (<.) :: M1 i t f a -> M1 i t f b -> M1 i t f a Source # liftF2 :: (a -> b -> c) -> M1 i t f a -> M1 i t f b -> M1 i t f c Source #
(Apply f, Apply g) => Apply (f :.: g) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b Source # (.>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b Source # (<.) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a Source # liftF2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c Source #
(Apply f, Apply g) => Apply (Compose f g) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b Source # (.>) :: Compose f g a -> Compose f g b -> Compose f g b Source # (<.) :: Compose f g a -> Compose f g b -> Compose f g a Source # liftF2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c Source #
(Bind m, Semigroup w) => Apply (RWST r w s m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # (.>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<.) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source # liftF2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source #
(Bind m, Semigroup w) => Apply (RWST r w s m) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # (.>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<.) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source # liftF2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source #

(<..>) :: Apply w => w a -> w (a -> b) -> w b infixl 4 Source #

A variant of <.> with the arguments reversed.

liftF3 :: Apply w => (a -> b -> c -> d) -> w a -> w b -> w c -> w d Source #

Lift a ternary function into a comonad with zipping

Wrappers

newtype WrappedApplicative f a Source #

Wrap an Applicative to be used as a member of Apply

Constructors

WrapApplicative
Fields unwrapApplicative :: f a

Instances

Functor f => Functor (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods fmap :: (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b # (<$) :: a -> WrappedApplicative f b -> WrappedApplicative f a #
Applicative f => Applicative (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods pure :: a -> WrappedApplicative f a # (<>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b # liftA2 :: (a -> b -> c) -> WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f c # (>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b # (<*) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a #
Alternative f => Alternative (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods empty :: WrappedApplicative f a # (<\|>) :: WrappedApplicative f a -> WrappedApplicative f a -> WrappedApplicative f a # some :: WrappedApplicative f a -> WrappedApplicative f [a] # many :: WrappedApplicative f a -> WrappedApplicative f [a] #
Applicative f => Apply (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b Source # (.>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b Source # (<.) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a Source # liftF2 :: (a -> b -> c) -> WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f c Source #
Alternative f => Alt (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Alt Methods (<!>) :: WrappedApplicative f a -> WrappedApplicative f a -> WrappedApplicative f a Source # some :: Applicative (WrappedApplicative f) => WrappedApplicative f a -> WrappedApplicative f [a] Source # many :: Applicative (WrappedApplicative f) => WrappedApplicative f a -> WrappedApplicative f [a] Source #
Alternative f => Plus (WrappedApplicative f) Source #
Instance details Defined in Data.Functor.Plus Methods zero :: WrappedApplicative f a Source #

newtype MaybeApply f a Source #

Transform a Apply into an Applicative by adding a unit.

Constructors

MaybeApply
Fields runMaybeApply :: Either (f a) a

Instances

Functor f => Functor (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods fmap :: (a -> b) -> MaybeApply f a -> MaybeApply f b # (<$) :: a -> MaybeApply f b -> MaybeApply f a #
Apply f => Applicative (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods pure :: a -> MaybeApply f a # (<>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b # liftA2 :: (a -> b -> c) -> MaybeApply f a -> MaybeApply f b -> MaybeApply f c # (>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b # (<*) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a #
Comonad f => Comonad (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods extract :: MaybeApply f a -> a # duplicate :: MaybeApply f a -> MaybeApply f (MaybeApply f a) # extend :: (MaybeApply f a -> b) -> MaybeApply f a -> MaybeApply f b #
Extend f => Extend (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods duplicated :: MaybeApply f a -> MaybeApply f (MaybeApply f a) Source # extended :: (MaybeApply f a -> b) -> MaybeApply f a -> MaybeApply f b Source #
Apply f => Apply (MaybeApply f) Source #
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b Source # (.>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b Source # (<.) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a Source # liftF2 :: (a -> b -> c) -> MaybeApply f a -> MaybeApply f b -> MaybeApply f c Source #