Data.Functor.Compose

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 Source #

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 -> * Source # Methods from1 :: f a -> Rep1 (Compose * k f g) f a Source # to1 :: Rep1 (Compose * k f g) f a -> f a Source #
(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 Source # (<$) :: a -> Compose * * f g b -> Compose * * f g a Source #
(Applicative f, Applicative g) => Applicative (Compose * * f g) # | Since: 4.9.0.0
Methods pure :: a -> Compose * * f g a Source # (<*>) :: Compose * * f g (a -> b) -> Compose * * f g a -> Compose * * f g b Source # liftA2 :: (a -> b -> c) -> Compose * * f g a -> Compose * * f g b -> Compose * * f g c 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 #
(Foldable f, Foldable g) => Foldable (Compose * * f g) # | Since: 4.9.0.0
Methods fold :: Monoid m => Compose * * f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Compose * * f g a -> m Source # foldr :: (a -> b -> b) -> b -> Compose * * f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Compose * * f g a -> b Source # foldl :: (b -> a -> b) -> b -> Compose * * f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Compose * * f g a -> b Source # foldr1 :: (a -> a -> a) -> Compose * * f g a -> a Source # foldl1 :: (a -> a -> a) -> Compose * * f g a -> a Source # toList :: Compose * * f g a -> [a] Source # null :: Compose * * f g a -> Bool Source # length :: Compose * * f g a -> Int Source # elem :: Eq a => a -> Compose * * f g a -> Bool Source # maximum :: Ord a => Compose * * f g a -> a Source # minimum :: Ord a => Compose * * f g a -> a Source # sum :: Num a => Compose * * f g a -> a Source # product :: Num a => Compose * * f g a -> a Source #
(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) Source # sequenceA :: Applicative f => Compose * * f g (f a) -> f (Compose * * f g a) Source # mapM :: Monad m => (a -> m b) -> Compose * * f g a -> m (Compose * * f g b) Source # sequence :: Monad m => Compose * * f g (m a) -> m (Compose * * f g a) Source #
(Alternative f, Applicative g) => Alternative (Compose * * f g) # | Since: 4.9.0.0
Methods empty :: Compose * * f g a Source # (<|>) :: Compose * * f g a -> Compose * * f g a -> Compose * * f g a Source # some :: Compose * * f g a -> Compose * * f g [a] Source # many :: Compose * * f g a -> Compose * * f g [a] Source #
(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 Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Compose * * f g a] -> ShowS Source #
(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) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose * * f g a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose * * f g a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose * * f g a] Source #
(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 Source #
(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 Source #
(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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose k1 k2 f g a) Source # toConstr :: Compose k1 k2 f g a -> Constr Source # dataTypeOf :: Compose k1 k2 f g a -> DataType Source # dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Compose k1 k2 f g a)) Source # dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose k1 k2 f g a)) Source # gmapT :: (forall b. Data b => b -> b) -> Compose k1 k2 f g a -> Compose k1 k2 f g a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose k1 k2 f g a -> r Source # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose k1 k2 f g a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Compose k1 k2 f g a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose k1 k2 f g a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose k1 k2 f g a -> m (Compose k1 k2 f g a) Source #
(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) Source # readList :: ReadS [Compose * * f g a] Source # readPrec :: ReadPrec (Compose * * f g a) Source # readListPrec :: ReadPrec [Compose * * f g a] Source #
(Show1 f, Show1 g, Show a) => Show (Compose * * f g a) # | Since: 4.9.0.0
Methods showsPrec :: Int -> Compose * * f g a -> ShowS Source # show :: Compose * * f g a -> String Source # showList :: [Compose * * f g a] -> ShowS Source #
Generic (Compose k1 k2 f g a) # |
Associated Types type Rep (Compose k1 k2 f g a) :: * -> * Source # Methods from :: Compose k1 k2 f g a -> Rep (Compose k1 k2 f g a) x Source # to :: Rep (Compose k1 k2 f g a) x -> Compose k1 k2 f g a Source #
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)))))