Copyright	(c) Ross Paterson 2010
License	BSD-style (see the file LICENSE)
Maintainer	libraries@haskell.org
Stability	experimental
Portability	portable
Safe Haskell	Safe
Language	Haskell2010

Data.Functor.Product

Description

Products, lifted to functors.

Since: 4.9.0.0

Synopsis

Documentation

data Product f g a #

Lifted product of functors.

Constructors

Pair (f a) (g a)

Instances

(Monad f, Monad g) => Monad (Product * f g) #
Methods (>>=) :: Product * f g a -> (a -> Product * f g b) -> Product * f g b # (>>) :: Product * f g a -> Product * f g b -> Product * f g b # return :: a -> Product * f g a # fail :: String -> Product * f g a #
(Functor f, Functor g) => Functor (Product * f g) #
Methods fmap :: (a -> b) -> Product * f g a -> Product * f g b # (<$) :: a -> Product * f g b -> Product * f g a #
(MonadFix f, MonadFix g) => MonadFix (Product * f g) #
Methods mfix :: (a -> Product * f g a) -> Product * f g a #
(Applicative f, Applicative g) => Applicative (Product * f g) #
Methods pure :: a -> Product * f g a # (<>) :: Product f g (a -> b) -> Product * f g a -> Product * f g b # (>) :: Product f g a -> Product * f g b -> Product * f g b # (<) :: Product f g a -> Product * f g b -> Product * f g a #
(Foldable f, Foldable g) => Foldable (Product * f g) #
Methods fold :: Monoid m => Product * f g m -> m # foldMap :: Monoid m => (a -> m) -> Product * f g a -> m # foldr :: (a -> b -> b) -> b -> Product * f g a -> b # foldr' :: (a -> b -> b) -> b -> Product * f g a -> b # foldl :: (b -> a -> b) -> b -> Product * f g a -> b # foldl' :: (b -> a -> b) -> b -> Product * f g a -> b # foldr1 :: (a -> a -> a) -> Product * f g a -> a # foldl1 :: (a -> a -> a) -> Product * f g a -> a # toList :: Product * f g a -> [a] # null :: Product * f g a -> Bool # length :: Product * f g a -> Int # elem :: Eq a => a -> Product * f g a -> Bool # maximum :: Ord a => Product * f g a -> a # minimum :: Ord a => Product * f g a -> a # sum :: Num a => Product * f g a -> a # product :: Num a => Product * f g a -> a #
(Traversable f, Traversable g) => Traversable (Product * f g) #
Methods traverse :: Applicative f => (a -> f b) -> Product * f g a -> f (Product * f g b) # sequenceA :: Applicative f => Product * f g (f a) -> f (Product * f g a) # mapM :: Monad m => (a -> m b) -> Product * f g a -> m (Product * f g b) # sequence :: Monad m => Product * f g (m a) -> m (Product * f g a) #
Generic1 (Product * f g) #
Associated Types type Rep1 (Product * f g :: * -> ) :: -> * # Methods from1 :: Product * f g a -> Rep1 (Product * f g) a # to1 :: Rep1 (Product * f g) a -> Product * f g a #
(MonadPlus f, MonadPlus g) => MonadPlus (Product * f g) #
Methods mzero :: Product * f g a # mplus :: Product * f g a -> Product * f g a -> Product * f g a #
(Alternative f, Alternative g) => Alternative (Product * f g) #
Methods empty :: Product * f g a # (<\|>) :: Product * f g a -> Product * f g a -> Product * f g a # some :: Product * f g a -> Product * f g [a] # many :: Product * f g a -> Product * f g [a] #
(MonadZip f, MonadZip g) => MonadZip (Product * f g) #
Methods mzip :: Product * f g a -> Product * f g b -> Product * f g (a, b) # mzipWith :: (a -> b -> c) -> Product * f g a -> Product * f g b -> Product * f g c # munzip :: Product * f g (a, b) -> (Product * f g a, Product * f g b) #
(Show1 f, Show1 g) => Show1 (Product * f g) #
Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Product * f g a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Product * f g a] -> ShowS #
(Read1 f, Read1 g) => Read1 (Product * f g) #
Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Product * f g a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Product * f g a] #
(Ord1 f, Ord1 g) => Ord1 (Product * f g) #
Methods liftCompare :: (a -> b -> Ordering) -> Product * f g a -> Product * f g b -> Ordering #
(Eq1 f, Eq1 g) => Eq1 (Product * f g) #
Methods liftEq :: (a -> b -> Bool) -> Product * f g a -> Product * f g b -> Bool #
(Eq1 f, Eq1 g, Eq a) => Eq (Product * f g a) #
Methods (==) :: Product * f g a -> Product * f g a -> Bool Source # (/=) :: Product * f g a -> Product * f g a -> Bool Source #
(Data (g a), Data (f a), Typeable * k, Typeable (k -> ) g, Typeable (k -> ) f, Typeable k a) => Data (Product k f g a) #
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall b. b -> c b) -> Product k f g a -> c (Product k f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Product k f g a) # toConstr :: Product k f g a -> Constr # dataTypeOf :: Product k f g a -> DataType # dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c (Product k f g a)) # dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Product k f g a)) # gmapT :: (forall b. Data b => b -> b) -> Product k f g a -> Product k f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Product k f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Product k f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Product k f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Product k f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) #
(Ord1 f, Ord1 g, Ord a) => Ord (Product * f g a) #
Methods compare :: Product * f g a -> Product * f g a -> Ordering Source # (<) :: Product * f g a -> Product * f g a -> Bool Source # (<=) :: Product * f g a -> Product * f g a -> Bool Source # (>) :: Product * f g a -> Product * f g a -> Bool Source # (>=) :: Product * f g a -> Product * f g a -> Bool Source # max :: Product * f g a -> Product * f g a -> Product * f g a Source # min :: Product * f g a -> Product * f g a -> Product * f g a Source #
(Read1 f, Read1 g, Read a) => Read (Product * f g a) #
Methods readsPrec :: Int -> ReadS (Product * f g a) # readList :: ReadS [Product * f g a] # readPrec :: ReadPrec (Product * f g a) # readListPrec :: ReadPrec [Product * f g a] #
(Show1 f, Show1 g, Show a) => Show (Product * f g a) #
Methods showsPrec :: Int -> Product * f g a -> ShowS # show :: Product * f g a -> String # showList :: [Product * f g a] -> ShowS #
Generic (Product k f g a) #
Associated Types type Rep (Product k f g a) :: * -> * # Methods from :: Product k f g a -> Rep (Product k f g a) x # to :: Rep (Product k f g a) x -> Product k f g a #
type Rep1 (Product * f g) #
type Rep1 (Product * f g) = D1 (MetaData "Product" "Data.Functor.Product" "base" False) (C1 (MetaCons "Pair" PrefixI False) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g))))
type Rep (Product k f g a) #
type Rep (Product k f g a) = D1 (MetaData "Product" "Data.Functor.Product" "base" False) (C1 (MetaCons "Pair" PrefixI False) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g a)))))