Data.Functor.Compose

Composition of functors.

Since: 4.9.0.0

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

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

(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

(<) :: 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)

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)))))