Data.Functor.Sum

Sums, lifted to functors.

Since: 4.9.0.0

Documentation

data Sum f g a

Lifted sum of functors.

Constructors

InL (f a)

InR (g a)

Instances

(Functor f, Functor g) => Functor (Sum * f g)

Methods

fmap :: (a -> b) -> Sum * f g a -> Sum * f g b

(<$) :: a -> Sum * f g b -> Sum * f g a

(Foldable f, Foldable g) => Foldable (Sum * f g)

Methods

fold :: Monoid m => Sum * f g m -> m

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

foldr :: (a -> b -> b) -> b -> Sum * f g a -> b

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

foldl :: (b -> a -> b) -> b -> Sum * f g a -> b

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

foldr1 :: (a -> a -> a) -> Sum * f g a -> a

foldl1 :: (a -> a -> a) -> Sum * f g a -> a

toList :: Sum * f g a -> [a]

null :: Sum * f g a -> Bool

length :: Sum * f g a -> Int

elem :: Eq a => a -> Sum * f g a -> Bool

maximum :: Ord a => Sum * f g a -> a

minimum :: Ord a => Sum * f g a -> a

sum :: Num a => Sum * f g a -> a

product :: Num a => Sum * f g a -> a

(Traversable f, Traversable g) => Traversable (Sum * f g)

Methods

traverse :: Applicative f => (a -> f b) -> Sum * f g a -> f (Sum * f g b)

sequenceA :: Applicative f => Sum * f g (f a) -> f (Sum * f g a)

mapM :: Monad m => (a -> m b) -> Sum * f g a -> m (Sum * f g b)

sequence :: Monad m => Sum * f g (m a) -> m (Sum * f g a)

Generic1 (Sum * f g)

Associated Types

type Rep1 (Sum * f g :: * -> *) :: * -> *

Methods

from1 :: Sum * f g a -> Rep1 (Sum * f g) a

to1 :: Rep1 (Sum * f g) a -> Sum * f g a

(Show1 f, Show1 g) => Show1 (Sum * f g)

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Sum * f g a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Sum * f g a] -> ShowS

(Read1 f, Read1 g) => Read1 (Sum * f g)

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Sum * f g a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum * f g a]

(Ord1 f, Ord1 g) => Ord1 (Sum * f g)

Methods

liftCompare :: (a -> b -> Ordering) -> Sum * f g a -> Sum * f g b -> Ordering

(Eq1 f, Eq1 g) => Eq1 (Sum * f g)

Methods

liftEq :: (a -> b -> Bool) -> Sum * f g a -> Sum * f g b -> Bool

(Eq1 f, Eq1 g, Eq a) => Eq (Sum * f g a)

Methods

(==) :: Sum * f g a -> Sum * f g a -> Bool

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

(Data (f a), Data (g a), Typeable k a, Typeable * k, Typeable (k -> *) f, Typeable (k -> *) g) => Data (Sum k f g a)

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall b. b -> c b) -> Sum k f g a -> c (Sum k f g a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum k f g a)

toConstr :: Sum k f g a -> Constr

dataTypeOf :: Sum k f g a -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Sum k f g a -> Sum k f g a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum k f g a -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum k f g a -> r

gmapQ :: (forall d. Data d => d -> u) -> Sum k f g a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum k f g a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a)

(Ord1 f, Ord1 g, Ord a) => Ord (Sum * f g a)

Methods

compare :: Sum * f g a -> Sum * f g a -> Ordering

(<) :: Sum * f g a -> Sum * f g a -> Bool

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

(>) :: Sum * f g a -> Sum * f g a -> Bool

(>=) :: Sum * f g a -> Sum * f g a -> Bool

max :: Sum * f g a -> Sum * f g a -> Sum * f g a

min :: Sum * f g a -> Sum * f g a -> Sum * f g a

(Read1 f, Read1 g, Read a) => Read (Sum * f g a)

Methods

readsPrec :: Int -> ReadS (Sum * f g a)

readList :: ReadS [Sum * f g a]

readPrec :: ReadPrec (Sum * f g a)

readListPrec :: ReadPrec [Sum * f g a]

(Show1 f, Show1 g, Show a) => Show (Sum * f g a)

Methods

showsPrec :: Int -> Sum * f g a -> ShowS

show :: Sum * f g a -> String

showList :: [Sum * f g a] -> ShowS

Generic (Sum k f g a)

Associated Types

type Rep (Sum k f g a) :: * -> *

Methods

from :: Sum k f g a -> Rep (Sum k f g a) x

to :: Rep (Sum k f g a) x -> Sum k f g a

type Rep1 (Sum * f g)

type Rep1 (Sum * f g) = D1 (MetaData "Sum" "Data.Functor.Sum" "base" False) ((:+:) (C1 (MetaCons "InL" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f))) (C1 (MetaCons "InR" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g))))

type Rep (Sum k f g a)

type Rep (Sum k f g a) = D1 (MetaData "Sum" "Data.Functor.Sum" "base" False) ((:+:) (C1 (MetaCons "InL" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a)))) (C1 (MetaCons "InR" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g a)))))