Data.Functor.Sum

base-4.12.0.0: Basic libraries

Copyright | (c) Ross Paterson 2014
License | BSD-style (see the file LICENSE)
Maintainer | libraries@haskell.org
Stability | experimental
Portability | portable
Safe Haskell | Safe
Language | Haskell2010

Data.Functor.Sum

Description

Sums, lifted to functors.

Since: base-4.9.0.0

Synopsis

- data Sum f g a
  - = InL (f a)
  - | InR (g a)

# Documentation

data Sum f g a #

Lifted sum of functors.

Constructors

InL (f a) |
InR (g a) |

Instances

Generic1 (Sum f g :: k -> Type) # |
Instance details Defined in Data.Functor.Sum Associated Types type Rep1 (Sum f g) :: k -> Type # Methods from1 :: Sum f g a -> Rep1 (Sum f g) a # to1 :: Rep1 (Sum f g) a -> Sum f g a #
(Functor f, Functor g) => Functor (Sum f g) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum 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) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum 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) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) # sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (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) #
(Show1 f, Show1 g) => Show1 (Sum f g) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum 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) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Sum f g a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum f g a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Sum f g a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum f g a] #
(Ord1 f, Ord1 g) => Ord1 (Sum f g) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods liftCompare :: (a -> b -> Ordering) -> Sum f g a -> Sum f g b -> Ordering #
(Eq1 f, Eq1 g) => Eq1 (Sum f g) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods liftEq :: (a -> b -> Bool) -> Sum f g a -> Sum f g b -> Bool #
(Contravariant f, Contravariant g) => Contravariant (Sum f g) # |
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a -> b) -> Sum f g b -> Sum f g a # (>$) :: b -> Sum f g b -> Sum f g a #
(Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods (==) :: Sum f g a -> Sum f g a -> Bool Source # (/=) :: Sum f g a -> Sum f g a -> Bool Source #
(Typeable a, Typeable f, Typeable g, Typeable k, Data (f a), Data (g a)) => Data (Sum f g a) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Sum f g a -> c (Sum f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum f g a) # toConstr :: Sum f g a -> Constr # dataTypeOf :: Sum f g a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Sum f g a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Sum f g a)) # gmapT :: (forall b. Data b => b -> b) -> Sum f g a -> Sum f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Sum f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) #
(Ord1 f, Ord1 g, Ord a) => Ord (Sum f g a) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods compare :: Sum f g a -> Sum f g a -> Ordering Source # (<) :: Sum f g a -> Sum f g a -> Bool Source # (<=) :: Sum f g a -> Sum f g a -> Bool Source # (>) :: Sum f g a -> Sum f g a -> Bool Source # (>=) :: Sum f g a -> Sum f g a -> Bool Source # max :: Sum f g a -> Sum f g a -> Sum f g a Source # min :: Sum f g a -> Sum f g a -> Sum f g a Source #
(Read1 f, Read1 g, Read a) => Read (Sum f g a) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum 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) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods showsPrec :: Int -> Sum f g a -> ShowS # show :: Sum f g a -> String # showList :: [Sum f g a] -> ShowS #
Generic (Sum f g a) # |
Instance details Defined in Data.Functor.Sum Associated Types type Rep (Sum f g a) :: Type -> Type # Methods from :: Sum f g a -> Rep (Sum f g a) x # to :: Rep (Sum f g a) x -> Sum f g a #
type Rep1 (Sum f g :: k -> Type) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum type Rep1 (Sum f g :: k -> Type) = D1 (MetaData "Sum" "Data.Functor.Sum" "base" False) (C1 (MetaCons "InL" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)) :+: C1 (MetaCons "InR" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g)))
type Rep (Sum f g a) # | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum type Rep (Sum f g a) = D1 (MetaData "Sum" "Data.Functor.Sum" "base" False) (C1 (MetaCons "InL" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))) :+: C1 (MetaCons "InR" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g a))))