base-4.10.1.0: Basic libraries

Copyright | (c) Ross Paterson 2010
License | BSD-style (see the file LICENSE)
Maintainer | libraries@haskell.org
Stability | experimental
Portability | portable
Safe Haskell | Trustworthy
Language | Haskell2010

Data.Functor.Compose

Description

Composition of functors.

Since: 4.9.0.0

Synopsis

- newtype Compose f g a = Compose {
  - getCompose :: f (g a)
  }

# Documentation

newtype Compose f g a infixr 9 #

Right-to-left composition of functors. The composition of applicative functors is always applicative, but the composition of monads is not always a monad.

Constructors

Compose infixr 9 |

Fields

- getCompose :: f (g a)

Instances

Functor f => Generic1 k (Compose * k f g) # |
Associated Types type Rep1 (Compose * k f g) (f :: Compose * k f g -> *) :: k -> * # Methods from1 :: f a -> Rep1 (Compose * k f g) f a # to1 :: Rep1 (Compose * k f g) f a -> f a #
(Functor f, Functor g) => Functor (Compose * * f g) # | Since: 4.9.0.0
Methods fmap :: (a -> b) -> Compose * * f g a -> Compose * * f g b # (<$) :: a -> Compose * * f g b -> Compose * * f g a #
(Applicative f, Applicative g) => Applicative (Compose * * f g) # | Since: 4.9.0.0
Methods pure :: a -> Compose * * f g a # (<*>) :: Compose * * f g (a -> b) -> Compose * * f g a -> Compose * * f g b # liftA2 :: (a -> b -> c) -> Compose * * f g a -> Compose * * f g b -> Compose * * f g c # (*>) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g b # (<*) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g a #
(Foldable f, Foldable g) => Foldable (Compose * * f g) # | Since: 4.9.0.0

Methods

fold :: Monoid m => Compose * * f g m -> m #

foldMap :: Monoid m => (a -> m) -> Compose * * f g a -> m #

foldr :: (a -> b -> b) -> b -> Compose * * f g a -> b #

foldr' :: (a -> b -> b) -> b -> Compose * * f g a -> b #

foldl :: (b -> a -> b) -> b -> Compose * * f g a -> b #

foldl' :: (b -> a -> b) -> b -> Compose * * f g a -> b #

foldr1 :: (a -> a -> a) -> Compose * * f g a -> a #

foldl1 :: (a -> a -> a) -> Compose * * f g a -> a #

toList :: Compose * * f g a -> [a] #

null :: Compose * * f g a -> Bool #

length :: Compose * * f g a -> Int #

elem :: Eq a => a -> Compose * * f g a -> Bool #

maximum :: Ord a => Compose * * f g a -> a #

minimum :: Ord a => Compose * * f g a -> a #

sum :: Num a => Compose * * f g a -> a #

product :: Num a => Compose * * f g a -> a #

(Traversable f, Traversable g) => Traversable (Compose * * f g) # | Since: 4.9.0.0
Methods traverse :: Applicative f => (a -> f b) -> Compose * * f g a -> f (Compose * * f g b) # sequenceA :: Applicative f => Compose * * f g (f a) -> f (Compose * * f g a) # mapM :: Monad m => (a -> m b) -> Compose * * f g a -> m (Compose * * f g b) # sequence :: Monad m => Compose * * f g (m a) -> m (Compose * * f g a) #
(Alternative f, Applicative g) => Alternative (Compose * * f g) # | Since: 4.9.0.0
Methods empty :: Compose * * f g a # (<|>) :: Compose * * f g a -> Compose * * f g a -> Compose * * f g a # some :: Compose * * f g a -> Compose * * f g [a] # many :: Compose * * f g a -> Compose * * f g [a] #
(Show1 f, Show1 g) => Show1 (Compose * * f g) # | Since: 4.9.0.0
Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Compose * * f g a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Compose * * f g a] -> ShowS #
(Read1 f, Read1 g) => Read1 (Compose * * f g) # | Since: 4.9.0.0
Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Compose * * f g a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose * * f g a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose * * f g a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose * * f g a] #
(Ord1 f, Ord1 g) => Ord1 (Compose * * f g) # | Since: 4.9.0.0
Methods liftCompare :: (a -> b -> Ordering) -> Compose * * f g a -> Compose * * f g b -> Ordering #
(Eq1 f, Eq1 g) => Eq1 (Compose * * f g) # | Since: 4.9.0.0
Methods liftEq :: (a -> b -> Bool) -> Compose * * f g a -> Compose * * f g b -> Bool #
(Eq1 f, Eq1 g, Eq a) => Eq (Compose * * f g a) # | Since: 4.9.0.0
Methods (==) :: Compose * * f g a -> Compose * * f g a -> Bool Source # (/=) :: Compose * * f g a -> Compose * * f g a -> Bool Source #
(Data (f (g a)), Typeable * k2, Typeable * k1, Typeable (k2 -> k1) g, Typeable (k1 -> *) f, Typeable k2 a) => Data (Compose k1 k2 f g a) # |

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall b. b -> c b) -> Compose k1 k2 f g a -> c (Compose k1 k2 f g a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose k1 k2 f g a) #

toConstr :: Compose k1 k2 f g a -> Constr #

dataTypeOf :: Compose k1 k2 f g a -> DataType #

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Compose k1 k2 f g a)) #

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose k1 k2 f g a)) #

gmapT :: (forall b. Data b => b -> b) -> Compose k1 k2 f g a -> Compose k1 k2 f g a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose k1 k2 f g a -> r #

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose k1 k2 f g a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Compose k1 k2 f g a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose k1 k2 f g a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) #

(Ord1 f, Ord1 g, Ord a) => Ord (Compose * * f g a) # | Since: 4.9.0.0

Methods

compare :: Compose * * f g a -> Compose * * f g a -> Ordering Source #

(<) :: Compose * * f g a -> Compose * * f g a -> Bool Source #

(<=) :: Compose * * f g a -> Compose * * f g a -> Bool Source #

(>) :: Compose * * f g a -> Compose * * f g a -> Bool Source #

(>=) :: Compose * * f g a -> Compose * * f g a -> Bool Source #

max :: Compose * * f g a -> Compose * * f g a -> Compose * * f g a Source #

min :: Compose * * f g a -> Compose * * f g a -> Compose * * f g a Source #

(Read1 f, Read1 g, Read a) => Read (Compose * * f g a) # | Since: 4.9.0.0
Methods readsPrec :: Int -> ReadS (Compose * * f g a) # readList :: ReadS [Compose * * f g a] # readPrec :: ReadPrec (Compose * * f g a) # readListPrec :: ReadPrec [Compose * * f g a] #
(Show1 f, Show1 g, Show a) => Show (Compose * * f g a) # | Since: 4.9.0.0
Methods showsPrec :: Int -> Compose * * f g a -> ShowS # show :: Compose * * f g a -> String # showList :: [Compose * * f g a] -> ShowS #
Generic (Compose k1 k2 f g a) # |
Associated Types type Rep (Compose k1 k2 f g a) :: * -> * # Methods from :: Compose k1 k2 f g a -> Rep (Compose k1 k2 f g a) x # to :: Rep (Compose k1 k2 f g a) x -> Compose k1 k2 f g a #
type Rep1 k (Compose * k f g) # |
type Rep1 k (Compose * k f g) = D1 k (MetaData "Compose" "Data.Functor.Compose" "base" True) (C1 k (MetaCons "Compose" PrefixI True) (S1 k (MetaSel (Just Symbol "getCompose") NoSourceUnpackedness NoSourceStrictness DecidedLazy) ((:.:) * k f (Rec1 k g))))
type Rep (Compose k1 k2 f g a) # |
type Rep (Compose k1 k2 f g a) = D1 * (MetaData "Compose" "Data.Functor.Compose" "base" True) (C1 * (MetaCons "Compose" PrefixI True) (S1 * (MetaSel (Just Symbol "getCompose") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 * (f (g a)))))