Copyright	(C) 2008-2016 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell2010

Data.Bifunctor.Biff

Description

Synopsis

newtype Biff p f g a b = Biff {
- runBiff :: p (f a) (g b)
}

Documentation

newtype Biff p f g a b Source #

Compose two Functors on the inside of a Bifunctor.

Constructors

Biff
Fields runBiff :: p (f a) (g b)

Instances

Instances details

Functor (p (f a)) => Generic1 (Biff p f g a :: k3 -> Type) Source #
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep1 (Biff p f g a) :: k -> Type Source # Methods from1 :: forall (a0 :: k). Biff p f g a a0 -> Rep1 (Biff p f g a) a0 Source # to1 :: forall (a0 :: k). Rep1 (Biff p f g a) a0 -> Biff p f g a a0 Source #
(Bifoldable p, Foldable f, Foldable g) => Bifoldable (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods bifold :: Monoid m => Biff p f g m m -> m Source # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Biff p f g a b -> m Source # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Biff p f g a b -> c Source # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Biff p f g a b -> c Source #
(Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods bimap :: (a -> b) -> (c -> d) -> Biff p f g a c -> Biff p f g b d Source # first :: (a -> b) -> Biff p f g a c -> Biff p f g b c Source # second :: (b -> c) -> Biff p f g a b -> Biff p f g a c Source #
(Bitraversable p, Traversable f, Traversable g) => Bitraversable (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods bitraverse :: Applicative f0 => (a -> f0 c) -> (b -> f0 d) -> Biff p f g a b -> f0 (Biff p f g c d) Source #
(Eq2 p, Eq1 f, Eq1 g) => Eq2 (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Biff p f g a c -> Biff p f g b d -> Bool Source #
(Ord2 p, Ord1 f, Ord1 g) => Ord2 (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Biff p f g a c -> Biff p f g b d -> Ordering Source #
(Read2 p, Read1 f, Read1 g) => Read2 (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Biff p f g a b) Source # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Biff p f g a b] Source # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Biff p f g a b) Source # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Biff p f g a b] Source #
(Show2 p, Show1 f, Show1 g) => Show2 (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Biff p f g a b -> ShowS Source # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Biff p f g a b] -> ShowS Source #
(Biapplicative p, Applicative f, Applicative g) => Biapplicative (Biff p f g) Source #
Instance details Defined in Data.Bifunctor.Biff Methods bipure :: a -> b -> Biff p f g a b Source # (<<>>) :: Biff p f g (a -> b) (c -> d) -> Biff p f g a c -> Biff p f g b d Source # biliftA2 :: (a -> b -> c) -> (d -> e -> f0) -> Biff p f g a d -> Biff p f g b e -> Biff p f g c f0 Source # (>>) :: Biff p f g a b -> Biff p f g c d -> Biff p f g c d Source # (<<*) :: Biff p f g a b -> Biff p f g c d -> Biff p f g a b Source #
(Bifoldable p, Foldable g) => Foldable (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # toList :: Biff p f g a a0 -> [a0] Source # null :: Biff p f g a a0 -> Bool Source # length :: Biff p f g a a0 -> Int Source # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool Source # maximum :: Ord a0 => Biff p f g a a0 -> a0 Source # minimum :: Ord a0 => Biff p f g a a0 -> a0 Source # sum :: Num a0 => Biff p f g a a0 -> a0 Source # product :: Num a0 => Biff p f g a a0 -> a0 Source #
(Eq2 p, Eq1 f, Eq1 g, Eq a) => Eq1 (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftEq :: (a0 -> b -> Bool) -> Biff p f g a a0 -> Biff p f g a b -> Bool Source #
(Ord2 p, Ord1 f, Ord1 g, Ord a) => Ord1 (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftCompare :: (a0 -> b -> Ordering) -> Biff p f g a a0 -> Biff p f g a b -> Ordering Source #
(Read2 p, Read1 f, Read1 g, Read a) => Read1 (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Biff p f g a a0) Source # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Biff p f g a a0] Source # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Biff p f g a a0) Source # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Biff p f g a a0] Source #
(Show2 p, Show1 f, Show1 g, Show a) => Show1 (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Biff p f g a a0 -> ShowS Source # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Biff p f g a a0] -> ShowS Source #
(Bitraversable p, Traversable g) => Traversable (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Biff p f g a a0 -> f0 (Biff p f g a b) Source # sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) Source # sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0) Source #
(Bifunctor p, Functor g) => Functor (Biff p f g a) Source #
Instance details Defined in Data.Bifunctor.Biff Methods fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b Source # (<$) :: a0 -> Biff p f g a b -> Biff p f g a a0 Source #
Generic (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep (Biff p f g a b) :: Type -> Type Source # Methods from :: Biff p f g a b -> Rep (Biff p f g a b) x Source # to :: Rep (Biff p f g a b) x -> Biff p f g a b Source #
Read (p (f a) (g b)) => Read (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff Methods readsPrec :: Int -> ReadS (Biff p f g a b) Source # readList :: ReadS [Biff p f g a b] Source # readPrec :: ReadPrec (Biff p f g a b) Source # readListPrec :: ReadPrec [Biff p f g a b] Source #
Show (p (f a) (g b)) => Show (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff Methods showsPrec :: Int -> Biff p f g a b -> ShowS Source # show :: Biff p f g a b -> String Source # showList :: [Biff p f g a b] -> ShowS Source #
Eq (p (f a) (g b)) => Eq (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff Methods (==) :: Biff p f g a b -> Biff p f g a b -> Bool Source # (/=) :: Biff p f g a b -> Biff p f g a b -> Bool Source #
Ord (p (f a) (g b)) => Ord (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff Methods compare :: Biff p f g a b -> Biff p f g a b -> Ordering Source # (<) :: Biff p f g a b -> Biff p f g a b -> Bool Source # (<=) :: Biff p f g a b -> Biff p f g a b -> Bool Source # (>) :: Biff p f g a b -> Biff p f g a b -> Bool Source # (>=) :: Biff p f g a b -> Biff p f g a b -> Bool Source # max :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b Source # min :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b Source #
type Rep1 (Biff p f g a :: k3 -> Type) Source #
Instance details Defined in Data.Bifunctor.Biff type Rep1 (Biff p f g a :: k3 -> Type) = D1 ('MetaData "Biff" "Data.Bifunctor.Biff" "bifunctors-5.5.15-6S5UlKCTe4o2JQ2fXXyAkF" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (p (f a) :.: Rec1 g)))
type Rep (Biff p f g a b) Source #
Instance details Defined in Data.Bifunctor.Biff type Rep (Biff p f g a b) = D1 ('MetaData "Biff" "Data.Bifunctor.Biff" "bifunctors-5.5.15-6S5UlKCTe4o2JQ2fXXyAkF" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (f a) (g b)))))