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 |
Composition of functors.
Since: base-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.
Compose infixr 9 | |
|
Instances
TestEquality f => TestEquality (Compose f g :: k2 -> Type) Source # | The deduction (via generativity) that if Since: base-4.14.0.0 |
Defined in Data.Functor.Compose | |
Functor f => Generic1 (Compose f g :: k -> Type) Source # | |
(Foldable f, Foldable g) => Foldable (Compose f g) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose fold :: Monoid m => Compose f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Compose f g a -> 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 # | |
(Eq1 f, Eq1 g) => Eq1 (Compose f g) Source # | Since: base-4.9.0.0 |
(Ord1 f, Ord1 g) => Ord1 (Compose f g) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
(Read1 f, Read1 g) => Read1 (Compose f g) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose 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 # | |
(Show1 f, Show1 g) => Show1 (Compose f g) Source # | Since: base-4.9.0.0 |
(Functor f, Contravariant g) => Contravariant (Compose f g) Source # | |
(Traversable f, Traversable g) => Traversable (Compose f g) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (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) Source # | Since: base-4.9.0.0 |
(Applicative f, Applicative g) => Applicative (Compose f g) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose 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 # | |
(Functor f, Functor g) => Functor (Compose f g) Source # | Since: base-4.9.0.0 |
(Typeable a, Typeable f, Typeable g, Typeable k1, Typeable k2, Data (f (g a))) => Data (Compose f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Compose f g a -> c (Compose f g a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose f g a) Source # toConstr :: Compose f g a -> Constr Source # dataTypeOf :: Compose f g a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Compose f g a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose f g a)) Source # gmapT :: (forall b. Data b => b -> b) -> Compose f g a -> Compose f g a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Compose f g a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose f g a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) Source # | |
Monoid (f (g a)) => Monoid (Compose f g a) Source # | Since: base-4.16.0.0 |
Semigroup (f (g a)) => Semigroup (Compose f g a) Source # | Since: base-4.16.0.0 |
Generic (Compose f g a) Source # | |
(Read1 f, Read1 g, Read a) => Read (Compose f g a) Source # | Since: base-4.9.0.0 |
(Show1 f, Show1 g, Show a) => Show (Compose f g a) Source # | Since: base-4.9.0.0 |
(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a) Source # | Since: base-4.9.0.0 |
(Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose 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 # | |
type Rep1 (Compose f g :: k -> Type) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
type Rep (Compose f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose |