{-# LANGUAGE Trustworthy #-} {-# LANGUAGE NoImplicitPrelude #-} ----------------------------------------------------------------------------- -- | -- Module : Data.Functor -- Copyright : (c) The University of Glasgow 2001 -- License : BSD-style (see the file libraries/base/LICENSE) -- -- Maintainer : libraries@haskell.org -- Stability : provisional -- Portability : portable -- -- -- A type @f@ is a Functor if it provides a function @fmap@ which, given any types @a@ and @b@, -- lets you apply any function of type @(a -> b)@ to turn an @f a@ into an @f b@, preserving the -- structure of @f@. -- -- ==== __Examples__ -- -- >>> fmap show (Just 1) -- (a -> b) -> f a -> f b -- Just "1" -- (Int -> String) -> Maybe Int -> Maybe String -- -- >>> fmap show Nothing -- (a -> b) -> f a -> f b -- Nothing -- (Int -> String) -> Maybe Int -> Maybe String -- -- >>> fmap show [1,2,3] -- (a -> b) -> f a -> f b -- ["1","2","3"] -- (Int -> String) -> [Int] -> [String] -- -- >>> fmap show [] -- (a -> b) -> f a -> f b -- [] -- (Int -> String) -> [Int] -> [String] -- -- The 'fmap' function is also available as the infix operator '<$>': -- -- >>> fmap show (Just 1) -- (Int -> String) -> Maybe Int -> Maybe String -- Just "1" -- >>> show <$> (Just 1) -- (Int -> String) -> Maybe Int -> Maybe String -- Just "1" module Data.Functor ( Functor(..), ($>), (<$>), (<&>), unzip, void, ) where import GHC.Base ( Functor(..), flip ) import Data.Tuple ( fst, snd ) -- $setup -- Allow the use of Prelude in doctests. -- >>> import Prelude hiding ((<$>)) infixl 4 <$> -- | An infix synonym for 'fmap'. -- -- The name of this operator is an allusion to 'Prelude.$'. -- Note the similarities between their types: -- -- > ($) :: (a -> b) -> a -> b -- > (<$>) :: Functor f => (a -> b) -> f a -> f b -- -- Whereas 'Prelude.$' is function application, '<$>' is function -- application lifted over a 'Functor'. -- -- ==== __Examples__ -- -- Convert from a @'Data.Maybe.Maybe' 'Data.Int.Int'@ to a @'Data.Maybe.Maybe' -- 'Data.String.String'@ using 'Prelude.show': -- -- >>> show <$> Nothing -- Nothing -- >>> show <$> Just 3 -- Just "3" -- -- Convert from an @'Data.Either.Either' 'Data.Int.Int' 'Data.Int.Int'@ to an -- @'Data.Either.Either' 'Data.Int.Int'@ 'Data.String.String' using 'Prelude.show': -- -- >>> show <$> Left 17 -- Left 17 -- >>> show <$> Right 17 -- Right "17" -- -- Double each element of a list: -- -- >>> (*2) <$> [1,2,3] -- [2,4,6] -- -- Apply 'Prelude.even' to the second element of a pair: -- -- >>> even <$> (2,2) -- (2,True) -- (<$>) :: Functor f => (a -> b) -> f a -> f b <$> :: forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b (<$>) = (a -> b) -> f a -> f b forall a b. (a -> b) -> f a -> f b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b fmap infixl 1 <&> -- | Flipped version of '<$>'. -- -- @ -- ('<&>') = 'flip' 'fmap' -- @ -- -- @since 4.11.0.0 -- -- ==== __Examples__ -- Apply @(+1)@ to a list, a 'Data.Maybe.Just' and a 'Data.Either.Right': -- -- >>> Just 2 <&> (+1) -- Just 3 -- -- >>> [1,2,3] <&> (+1) -- [2,3,4] -- -- >>> Right 3 <&> (+1) -- Right 4 -- (<&>) :: Functor f => f a -> (a -> b) -> f b f a as <&> :: forall (f :: * -> *) a b. Functor f => f a -> (a -> b) -> f b <&> a -> b f = a -> b f (a -> b) -> f a -> f b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b <$> f a as infixl 4 $> -- | Flipped version of '<$'. -- -- @since 4.7.0.0 -- -- ==== __Examples__ -- -- Replace the contents of a @'Data.Maybe.Maybe' 'Data.Int.Int'@ with a constant -- 'Data.String.String': -- -- >>> Nothing $> "foo" -- Nothing -- >>> Just 90210 $> "foo" -- Just "foo" -- -- Replace the contents of an @'Data.Either.Either' 'Data.Int.Int' 'Data.Int.Int'@ -- with a constant 'Data.String.String', resulting in an @'Data.Either.Either' -- 'Data.Int.Int' 'Data.String.String'@: -- -- >>> Left 8675309 $> "foo" -- Left 8675309 -- >>> Right 8675309 $> "foo" -- Right "foo" -- -- Replace each element of a list with a constant 'Data.String.String': -- -- >>> [1,2,3] $> "foo" -- ["foo","foo","foo"] -- -- Replace the second element of a pair with a constant 'Data.String.String': -- -- >>> (1,2) $> "foo" -- (1,"foo") -- ($>) :: Functor f => f a -> b -> f b $> :: forall (f :: * -> *) a b. Functor f => f a -> b -> f b ($>) = (b -> f a -> f b) -> f a -> b -> f b forall a b c. (a -> b -> c) -> b -> a -> c flip b -> f a -> f b forall a b. a -> f b -> f a forall (f :: * -> *) a b. Functor f => a -> f b -> f a (<$) -- | Generalization of @Data.List.@'Data.List.unzip'. -- -- @since 4.19.0.0 unzip :: Functor f => f (a, b) -> (f a, f b) unzip :: forall (f :: * -> *) a b. Functor f => f (a, b) -> (f a, f b) unzip f (a, b) xs = ((a, b) -> a forall a b. (a, b) -> a fst ((a, b) -> a) -> f (a, b) -> f a forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b <$> f (a, b) xs, (a, b) -> b forall a b. (a, b) -> b snd ((a, b) -> b) -> f (a, b) -> f b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b <$> f (a, b) xs) -- | @'void' value@ discards or ignores the result of evaluation, such -- as the return value of an 'System.IO.IO' action. -- -- ==== __Examples__ -- -- Replace the contents of a @'Data.Maybe.Maybe' 'Data.Int.Int'@ with unit: -- -- >>> void Nothing -- Nothing -- >>> void (Just 3) -- Just () -- -- Replace the contents of an @'Data.Either.Either' 'Data.Int.Int' 'Data.Int.Int'@ -- with unit, resulting in an @'Data.Either.Either' 'Data.Int.Int' '()'@: -- -- >>> void (Left 8675309) -- Left 8675309 -- >>> void (Right 8675309) -- Right () -- -- Replace every element of a list with unit: -- -- >>> void [1,2,3] -- [(),(),()] -- -- Replace the second element of a pair with unit: -- -- >>> void (1,2) -- (1,()) -- -- Discard the result of an 'System.IO.IO' action: -- -- >>> mapM print [1,2] -- 1 -- 2 -- [(),()] -- >>> void $ mapM print [1,2] -- 1 -- 2 -- void :: Functor f => f a -> f () void :: forall (f :: * -> *) a. Functor f => f a -> f () void f a x = () () -> f a -> f () forall a b. a -> f b -> f a forall (f :: * -> *) a b. Functor f => a -> f b -> f a <$ f a x