Data.Bifunctor.Product

The product of two bifunctors.

Documentation

data Product f g a b

Form the product of two bifunctors

Constructors

Pair (f a b) (g a b)

Instances

BifunctorFunctor k k1 k k1 (Product k k1 p)

Methods

bifmap :: (k :-> k) p q -> (Product k k1 p :-> k) (t p) (t q)

BifunctorComonad k k1 (Product k k1 p)

Methods

biextract :: t p a b -> p a b

biextend :: (Product k k1 p :-> k) (t p) q -> (Product k k1 p :-> k) (t p) (t q)

biduplicate :: t p a b -> t (t p) a b

(Bifunctor f, Bifunctor g) => Bifunctor (Product * * f g)

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

(Bifoldable f, Bifoldable g) => Bifoldable (Product * * f g)

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

(Bitraversable f, Bitraversable g) => Bitraversable (Product * * f g)

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Product * * f g a b -> f (Product * * f g c d)

(Biapplicative f, Biapplicative g) => Biapplicative (Product * * f g)

Methods

bipure :: a -> b -> Product * * f g a b

(<<*>>) :: Product * * f g (a -> b) (c -> d) -> Product * * f g a c -> Product * * f g b d

(*>>) :: Product * * f g a b -> Product * * f g c d -> Product * * f g c d

(<<*) :: Product * * f g a b -> Product * * f g c d -> Product * * f g a b

Generic1 (Product * k f g a)

Associated Types

type Rep1 (Product * k f g a :: * -> *) :: * -> *

Methods

from1 :: Product * k f g a a -> Rep1 (Product * k f g a) a

to1 :: Rep1 (Product * k f g a) a -> Product * k f g a a

(Eq (g a b), Eq (f a b)) => Eq (Product k1 k f g a b)

Methods

(==) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

(/=) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

(Ord (g a b), Ord (f a b)) => Ord (Product k1 k f g a b)

Methods

compare :: Product k1 k f g a b -> Product k1 k f g a b -> Ordering

(<) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

(<=) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

(>) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

(>=) :: Product k1 k f g a b -> Product k1 k f g a b -> Bool

max :: Product k1 k f g a b -> Product k1 k f g a b -> Product k1 k f g a b

min :: Product k1 k f g a b -> Product k1 k f g a b -> Product k1 k f g a b

(Read (g a b), Read (f a b)) => Read (Product k1 k f g a b)

Methods

readsPrec :: Int -> ReadS (Product k1 k f g a b)

readList :: ReadS [Product k1 k f g a b]

readPrec :: ReadPrec (Product k1 k f g a b)

readListPrec :: ReadPrec [Product k1 k f g a b]

(Show (g a b), Show (f a b)) => Show (Product k1 k f g a b)

Methods

showsPrec :: Int -> Product k1 k f g a b -> ShowS

show :: Product k1 k f g a b -> String

showList :: [Product k1 k f g a b] -> ShowS

Generic (Product k1 k f g a b)

Associated Types

type Rep (Product k1 k f g a b) :: * -> *

Methods

from :: Product k1 k f g a b -> Rep (Product k1 k f g a b) x

to :: Rep (Product k1 k f g a b) x -> Product k1 k f g a b

type Rep1 (Product * k f g a)

type Rep1 (Product * k f g a) = D1 (MetaData "Product" "Data.Bifunctor.Product" "bifunctors-5.5-32pcfa06LpVCOUG1IJODTZ" False) (C1 (MetaCons "Pair" PrefixI False) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 (f a))) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 (g a)))))

type Rep (Product k1 k f g a b)

type Rep (Product k1 k f g a b) = D1 (MetaData "Product" "Data.Bifunctor.Product" "bifunctors-5.5-32pcfa06LpVCOUG1IJODTZ" False) (C1 (MetaCons "Pair" PrefixI False) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a b))) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g a b)))))