Copyright	(C) 2008-2016 Jesse Selover Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Bifunctor.Product

Description

The product of two bifunctors.

Synopsis

data Product f g a b = Pair (f a b) (g a b)

Documentation

data Product f g a b Source #

Form the product of two bifunctors

Constructors

Pair (f a b) (g a b)

Instances

BifunctorFunctor (Product p :: (k1 -> k2 -> ) -> k1 -> k2 -> ) Source #
Instance details Defined in Data.Bifunctor.Product Methods bifmap :: (p0 :-> q) -> Product p p0 :-> Product p q Source #
BifunctorComonad (Product p :: (k1 -> k2 -> ) -> k1 -> k2 -> ) Source #
Instance details Defined in Data.Bifunctor.Product Methods biextract :: Product p p0 a b -> p0 a b Source # biextend :: (Product p p0 :-> q) -> Product p p0 :-> Product p q Source # biduplicate :: Product p p0 a b -> Product p (Product p p0) a b Source #
Generic1 (Product f g a :: k1 -> *) Source #
Instance details Defined in Data.Bifunctor.Product Associated Types type Rep1 (Product f g a) :: k -> * # Methods from1 :: Product f g a a0 -> Rep1 (Product f g a) a0 # to1 :: Rep1 (Product f g a) a0 -> Product f g a a0 #
(Bitraversable f, Bitraversable g) => Bitraversable (Product f g) Source #
Instance details Defined in Data.Bifunctor.Product Methods bitraverse :: Applicative f0 => (a -> f0 c) -> (b -> f0 d) -> Product f g a b -> f0 (Product f g c d) #
(Bifoldable f, Bifoldable g) => Bifoldable (Product f g) Source #
Instance details Defined in Data.Bifunctor.Product Methods bifold :: Monoid m => Product f g m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Product f g a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Product f g a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Product f g a b -> c #
(Bifunctor f, Bifunctor g) => Bifunctor (Product f g) Source #
Instance details Defined in Data.Bifunctor.Product Methods bimap :: (a -> b) -> (c -> d) -> Product f g a c -> Product f g b d # first :: (a -> b) -> Product f g a c -> Product f g b c # second :: (b -> c) -> Product f g a b -> Product f g a c #
(Biapplicative f, Biapplicative g) => Biapplicative (Product f g) Source #
Instance details Defined in Data.Bifunctor.Product Methods bipure :: a -> b -> Product f g a b Source # (<<>>) :: Product f g (a -> b) (c -> d) -> Product f g a c -> Product f g b d Source # biliftA2 :: (a -> b -> c) -> (d -> e -> f0) -> Product f g a d -> Product f g b e -> Product f g c f0 Source # (>>) :: Product f g a b -> Product f g c d -> Product f g c d Source # (<<*) :: Product f g a b -> Product f g c d -> Product f g a b Source #
(Eq (f a b), Eq (g a b)) => Eq (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product Methods (==) :: Product f g a b -> Product f g a b -> Bool # (/=) :: Product f g a b -> Product f g a b -> Bool #
(Ord (f a b), Ord (g a b)) => Ord (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product Methods compare :: Product f g a b -> Product f g a b -> Ordering # (<) :: Product f g a b -> Product f g a b -> Bool # (<=) :: Product f g a b -> Product f g a b -> Bool # (>) :: Product f g a b -> Product f g a b -> Bool # (>=) :: Product f g a b -> Product f g a b -> Bool # max :: Product f g a b -> Product f g a b -> Product f g a b # min :: Product f g a b -> Product f g a b -> Product f g a b #
(Read (f a b), Read (g a b)) => Read (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product Methods readsPrec :: Int -> ReadS (Product f g a b) # readList :: ReadS [Product f g a b] # readPrec :: ReadPrec (Product f g a b) # readListPrec :: ReadPrec [Product f g a b] #
(Show (f a b), Show (g a b)) => Show (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product Methods showsPrec :: Int -> Product f g a b -> ShowS # show :: Product f g a b -> String # showList :: [Product f g a b] -> ShowS #
Generic (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product Associated Types type Rep (Product f g a b) :: * -> * # Methods from :: Product f g a b -> Rep (Product f g a b) x # to :: Rep (Product f g a b) x -> Product f g a b #
type Rep1 (Product f g a :: k1 -> *) Source #
Instance details Defined in Data.Bifunctor.Product type Rep1 (Product f g a :: k1 -> ) = D1 (MetaData "Product" "Data.Bifunctor.Product" "bifunctors-5.5.3-C6ZpRcwIkW2G7uSQuXu3CK" False) (C1 (MetaCons "Pair" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 (f a)) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 (g a))))
type Rep (Product f g a b) Source #
Instance details Defined in Data.Bifunctor.Product type Rep (Product f g a b) = D1 (MetaData "Product" "Data.Bifunctor.Product" "bifunctors-5.5.3-C6ZpRcwIkW2G7uSQuXu3CK" False) (C1 (MetaCons "Pair" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a b)) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g a b))))