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 Source

Lifted product of functors.

Constructors

Pair (f a) (g a)

Instances

(Monad f, Monad g) => Monad (Product (TYPE Lifted) f g)
Methods (>>=) :: Product (TYPE Lifted) f g a -> (a -> Product (TYPE Lifted) f g b) -> Product (TYPE Lifted) f g b Source (>>) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g b Source return :: a -> Product (TYPE Lifted) f g a Source fail :: String -> Product (TYPE Lifted) f g a Source
(Functor f, Functor g) => Functor (Product (TYPE Lifted) f g)
Methods fmap :: (a -> b) -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b Source (<$) :: a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g a Source
(MonadFix f, MonadFix g) => MonadFix (Product (TYPE Lifted) f g)
Methods mfix :: (a -> Product (TYPE Lifted) f g a) -> Product (TYPE Lifted) f g a Source
(Applicative f, Applicative g) => Applicative (Product (TYPE Lifted) f g)
Methods pure :: a -> Product (TYPE Lifted) f g a Source (<>) :: Product (TYPE Lifted) f g (a -> b) -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b Source (>) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g b Source (<*) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g a Source
(Foldable f, Foldable g) => Foldable (Product (TYPE Lifted) f g)
Methods fold :: Monoid m => Product (TYPE Lifted) f g m -> m Source foldMap :: Monoid m => (a -> m) -> Product (TYPE Lifted) f g a -> m Source foldr :: (a -> b -> b) -> b -> Product (TYPE Lifted) f g a -> b Source foldr' :: (a -> b -> b) -> b -> Product (TYPE Lifted) f g a -> b Source foldl :: (b -> a -> b) -> b -> Product (TYPE Lifted) f g a -> b Source foldl' :: (b -> a -> b) -> b -> Product (TYPE Lifted) f g a -> b Source foldr1 :: (a -> a -> a) -> Product (TYPE Lifted) f g a -> a Source foldl1 :: (a -> a -> a) -> Product (TYPE Lifted) f g a -> a Source toList :: Product (TYPE Lifted) f g a -> [a] Source null :: Product (TYPE Lifted) f g a -> Bool Source length :: Product (TYPE Lifted) f g a -> Int Source elem :: Eq a => a -> Product (TYPE Lifted) f g a -> Bool Source maximum :: Ord a => Product (TYPE Lifted) f g a -> a Source minimum :: Ord a => Product (TYPE Lifted) f g a -> a Source sum :: Num a => Product (TYPE Lifted) f g a -> a Source product :: Num a => Product (TYPE Lifted) f g a -> a Source
(Traversable f, Traversable g) => Traversable (Product (TYPE Lifted) f g)
Methods traverse :: Applicative f => (a -> f b) -> Product (TYPE Lifted) f g a -> f (Product (TYPE Lifted) f g b) Source sequenceA :: Applicative f => Product (TYPE Lifted) f g (f a) -> f (Product (TYPE Lifted) f g a) Source mapM :: Monad m => (a -> m b) -> Product (TYPE Lifted) f g a -> m (Product (TYPE Lifted) f g b) Source sequence :: Monad m => Product (TYPE Lifted) f g (m a) -> m (Product (TYPE Lifted) f g a) Source
Generic1 (Product (TYPE Lifted) f g)
Associated Types type Rep1 (Product (TYPE Lifted) f g :: * -> TYPE Lifted) :: * -> * Source Methods from1 :: Product (TYPE Lifted) f g a -> Rep1 (Product (TYPE Lifted) f g) a Source to1 :: Rep1 (Product (TYPE Lifted) f g) a -> Product (TYPE Lifted) f g a Source
(MonadPlus f, MonadPlus g) => MonadPlus (Product (TYPE Lifted) f g)
Methods mzero :: Product (TYPE Lifted) f g a Source mplus :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a Source
(Alternative f, Alternative g) => Alternative (Product (TYPE Lifted) f g)
Methods empty :: Product (TYPE Lifted) f g a Source (<\|>) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a Source some :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g [a] Source many :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g [a] Source
(MonadZip f, MonadZip g) => MonadZip (Product (TYPE Lifted) f g)
Methods mzip :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g (a, b) Source mzipWith :: (a -> b -> c) -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Product (TYPE Lifted) f g c Source munzip :: Product (TYPE Lifted) f g (a, b) -> (Product (TYPE Lifted) f g a, Product (TYPE Lifted) f g b) Source
(Show1 f, Show1 g) => Show1 (Product (TYPE Lifted) f g)
Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Product (TYPE Lifted) f g a -> ShowS Source liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Product (TYPE Lifted) f g a] -> ShowS Source
(Read1 f, Read1 g) => Read1 (Product (TYPE Lifted) f g)
Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Product (TYPE Lifted) f g a) Source liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Product (TYPE Lifted) f g a] Source
(Ord1 f, Ord1 g) => Ord1 (Product (TYPE Lifted) f g)
Methods liftCompare :: (a -> b -> Ordering) -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Ordering Source
(Eq1 f, Eq1 g) => Eq1 (Product (TYPE Lifted) f g)
Methods liftEq :: (a -> b -> Bool) -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g b -> Bool Source
(Eq1 f, Eq1 g, Eq a) => Eq (Product (TYPE Lifted) f g a)
Methods (==) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source (/=) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source
(Data (f a), Data (g a), Typeable k a, Typeable (TYPE Lifted) k, Typeable (k -> TYPE Lifted) f, Typeable (k -> TYPE Lifted) g) => 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) Source gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Product k f g a) Source toConstr :: Product k f g a -> Constr Source dataTypeOf :: Product k f g a -> DataType Source dataCast1 :: Typeable (TYPE Lifted -> TYPE Lifted) t => (forall d. Data d => c (t d)) -> Maybe (c (Product k f g a)) Source dataCast2 :: Typeable (TYPE Lifted -> TYPE Lifted -> TYPE Lifted) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Product k f g a)) Source gmapT :: (forall b. Data b => b -> b) -> Product k f g a -> Product k f g a Source gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Product k f g a -> r Source gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Product k f g a -> r Source gmapQ :: (forall d. Data d => d -> u) -> Product k f g a -> [u] Source gmapQi :: Int -> (forall d. Data d => d -> u) -> Product k f g a -> u Source gmapM :: Monad m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) Source gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) Source gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Product k f g a -> m (Product k f g a) Source
(Ord1 f, Ord1 g, Ord a) => Ord (Product (TYPE Lifted) f g a)
Methods compare :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Ordering Source (<) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source (<=) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source (>) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source (>=) :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Bool Source max :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a Source min :: Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a -> Product (TYPE Lifted) f g a Source
(Read1 f, Read1 g, Read a) => Read (Product (TYPE Lifted) f g a)
Methods readsPrec :: Int -> ReadS (Product (TYPE Lifted) f g a) Source readList :: ReadS [Product (TYPE Lifted) f g a] Source readPrec :: ReadPrec (Product (TYPE Lifted) f g a) Source readListPrec :: ReadPrec [Product (TYPE Lifted) f g a] Source
(Show1 f, Show1 g, Show a) => Show (Product (TYPE Lifted) f g a)
Methods showsPrec :: Int -> Product (TYPE Lifted) f g a -> ShowS Source show :: Product (TYPE Lifted) f g a -> String Source showList :: [Product (TYPE Lifted) f g a] -> ShowS Source
Generic (Product k f g a)
Associated Types type Rep (Product k f g a) :: * -> * Source Methods from :: Product k f g a -> Rep (Product k f g a) x Source to :: Rep (Product k f g a) x -> Product k f g a Source
type Rep1 (Product k 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) = 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)))))