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: 4.9.0.0

Synopsis

Documentation

data Sum f g a Source #

Lifted sum of functors.

Constructors

InL (f a)
InR (g a)

Instances

Generic1 k (Sum k f g) #
Associated Types type Rep1 (Sum k f g) (f :: Sum k f g -> ) :: k -> Source # Methods from1 :: f a -> Rep1 (Sum k f g) f a Source # to1 :: Rep1 (Sum k f g) f a -> f a Source #
(Functor f, Functor g) => Functor (Sum * f g) #	Since: 4.9.0.0
Methods fmap :: (a -> b) -> Sum * f g a -> Sum * f g b Source # (<$) :: a -> Sum * f g b -> Sum * f g a Source #
(Foldable f, Foldable g) => Foldable (Sum * f g) #	Since: 4.9.0.0
Methods fold :: Monoid m => Sum * f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Sum * f g a -> m Source # foldr :: (a -> b -> b) -> b -> Sum * f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Sum * f g a -> b Source # foldl :: (b -> a -> b) -> b -> Sum * f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Sum * f g a -> b Source # foldr1 :: (a -> a -> a) -> Sum * f g a -> a Source # foldl1 :: (a -> a -> a) -> Sum * f g a -> a Source # toList :: Sum * f g a -> [a] Source # null :: Sum * f g a -> Bool Source # length :: Sum * f g a -> Int Source # elem :: Eq a => a -> Sum * f g a -> Bool Source # maximum :: Ord a => Sum * f g a -> a Source # minimum :: Ord a => Sum * f g a -> a Source # sum :: Num a => Sum * f g a -> a Source # product :: Num a => Sum * f g a -> a Source #
(Traversable f, Traversable g) => Traversable (Sum * f g) #	Since: 4.9.0.0
Methods traverse :: Applicative f => (a -> f b) -> Sum * f g a -> f (Sum * f g b) Source # sequenceA :: Applicative f => Sum * f g (f a) -> f (Sum * f g a) Source # mapM :: Monad m => (a -> m b) -> Sum * f g a -> m (Sum * f g b) Source # sequence :: Monad m => Sum * f g (m a) -> m (Sum * f g a) Source #
(Show1 f, Show1 g) => Show1 (Sum * f g) #	Since: 4.9.0.0
Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Sum * f g a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Sum * f g a] -> ShowS Source #
(Read1 f, Read1 g) => Read1 (Sum * f g) #	Since: 4.9.0.0
Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Sum * f g a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum * f g a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Sum * f g a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum * f g a] Source #
(Ord1 f, Ord1 g) => Ord1 (Sum * f g) #	Since: 4.9.0.0
Methods liftCompare :: (a -> b -> Ordering) -> Sum * f g a -> Sum * f g b -> Ordering Source #
(Eq1 f, Eq1 g) => Eq1 (Sum * f g) #	Since: 4.9.0.0
Methods liftEq :: (a -> b -> Bool) -> Sum * f g a -> Sum * f g b -> Bool Source #
(Eq1 f, Eq1 g, Eq a) => Eq (Sum * f g a) #	Since: 4.9.0.0
Methods (==) :: Sum * f g a -> Sum * f g a -> Bool Source # (/=) :: Sum * f g a -> Sum * f g a -> Bool Source #
(Data (g a), Data (f a), Typeable * k, Typeable (k -> ) g, Typeable (k -> ) f, Typeable k a) => 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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum k f g a) Source # toConstr :: Sum k f g a -> Constr Source # dataTypeOf :: Sum k f g a -> DataType Source # dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c (Sum k f g a)) Source # dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Sum k f g a)) Source # gmapT :: (forall b. Data b => b -> b) -> Sum k f g a -> Sum k f g a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum k f g a -> r Source # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum k f g a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Sum k f g a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum k f g a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum k f g a -> m (Sum k f g a) Source #
(Ord1 f, Ord1 g, Ord a) => Ord (Sum * f g a) #	Since: 4.9.0.0
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: 4.9.0.0
Methods readsPrec :: Int -> ReadS (Sum * f g a) Source # readList :: ReadS [Sum * f g a] Source # readPrec :: ReadPrec (Sum * f g a) Source # readListPrec :: ReadPrec [Sum * f g a] Source #
(Show1 f, Show1 g, Show a) => Show (Sum * f g a) #	Since: 4.9.0.0
Methods showsPrec :: Int -> Sum * f g a -> ShowS Source # show :: Sum * f g a -> String Source # showList :: [Sum * f g a] -> ShowS Source #
Generic (Sum k f g a) #
Associated Types type Rep (Sum k f g a) :: * -> * Source # Methods from :: Sum k f g a -> Rep (Sum k f g a) x Source # to :: Rep (Sum k f g a) x -> Sum k f g a Source #
type Rep1 k (Sum k f g) #
type Rep1 k (Sum k f g) = D1 k (MetaData "Sum" "Data.Functor.Sum" "base" False) ((:+:) k (C1 k (MetaCons "InL" PrefixI False) (S1 k (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 k f))) (C1 k (MetaCons "InR" PrefixI False) (S1 k (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 k 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)))))