Copyright	(c) Ross Paterson 2010
License	BSD-style (see the file LICENSE)
Maintainer	libraries@haskell.org
Stability	experimental
Portability	portable
Safe Haskell	Safe
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, Functor g) => Functor (Compose * * f g) Source #

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) Source #

Methods

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

(<*>) :: 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 #

(Foldable f, Foldable g) => Foldable (Compose * * f g) Source #

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) Source #

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 #

Functor f => Generic1 (Compose * * f g) Source #

Associated Types

type Rep1 (Compose * * f g :: * -> *) :: * -> * Source #

Methods

from1 :: Compose * * f g a -> Rep1 (Compose * * f g) a Source #

to1 :: Rep1 (Compose * * f g) a -> Compose * * f g a Source #

(Alternative f, Applicative g) => Alternative (Compose * * f g) Source #

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) Source #

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) Source #

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 #

(Ord1 f, Ord1 g) => Ord1 (Compose * * f g) Source #

Methods

liftCompare :: (a -> b -> Ordering) -> Compose * * f g a -> Compose * * f g b -> Ordering Source #

(Eq1 f, Eq1 g) => Eq1 (Compose * * f g) Source #

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) Source #

Methods

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

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

(Data (f (g a)), Typeable * k, Typeable * k1, Typeable (k1 -> k) g, Typeable (k -> *) f, Typeable k1 a) => Data (Compose k1 k f g a) Source #

Methods

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

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

toConstr :: Compose k1 k f g a -> Constr Source #

dataTypeOf :: Compose k1 k f g a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

(Ord1 f, Ord1 g, Ord a) => Ord (Compose * * f g a) Source #

Methods

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

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

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

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

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

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

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

(Read1 f, Read1 g, Read a) => Read (Compose * * f g a) Source #

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) Source #

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 k f g a) Source #

Associated Types

type Rep (Compose k1 k f g a) :: * -> * Source #

Methods

from :: Compose k1 k f g a -> Rep (Compose k1 k f g a) x Source #

to :: Rep (Compose k1 k f g a) x -> Compose k1 k f g a Source #

type Rep1 (Compose * * f g) Source #

type Rep1 (Compose * * f g) = D1 (MetaData "Compose" "Data.Functor.Compose" "base" True) (C1 (MetaCons "Compose" PrefixI True) (S1 (MetaSel (Just Symbol "getCompose") NoSourceUnpackedness NoSourceStrictness DecidedLazy) ((:.:) f (Rec1 g))))

type Rep (Compose k1 k f g a) Source #

type Rep (Compose k1 k 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)))))