bifunctors-5.6.1: Bifunctors

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 #

Compose two `Functor`s 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) # |
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep1 (Biff p f g a) :: k -> Type Methods from1 :: forall (a0 :: k). Biff p f g a a0 -> Rep1 (Biff p f g a) a0 to1 :: forall (a0 :: k). Rep1 (Biff p f g a) a0 -> Biff p f g a a0
(f ~ g, Functor f, Swap p) => Swap (Biff p f g) # | Since: 5.6.1
Instance details Defined in Data.Bifunctor.Biff Methods swap :: Biff p f g a b -> Biff p f g b a #
(Bifoldable p, Foldable f, Foldable g) => Bifoldable (Biff p f g) # |
Instance details Defined in Data.Bifunctor.Biff Methods bifold :: Monoid m => Biff p f g m m -> m bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Biff p f g a b -> m bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Biff p f g a b -> c bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Biff p f g a b -> c
(Bifoldable1 p, Foldable1 f, Foldable1 g) => Bifoldable1 (Biff p f g) # |
Instance details Defined in Data.Bifunctor.Biff Methods bifold1 :: Semigroup m => Biff p f g m m -> m bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Biff p f g a b -> m
(Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g) # |
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 first :: (a -> b) -> Biff p f g a c -> Biff p f g b c second :: (b -> c) -> Biff p f g a b -> Biff p f g a c
(Bitraversable p, Traversable f, Traversable g) => Bitraversable (Biff p f g) # |
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)
(Eq2 p, Eq1 f, Eq1 g) => Eq2 (Biff p f g) # |
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
(Ord2 p, Ord1 f, Ord1 g) => Ord2 (Biff p f g) # |
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
(Read2 p, Read1 f, Read1 g) => Read2 (Biff p f g) # |
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) liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Biff p f g a b] liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Biff p f g a b) liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Biff p f g a b]
(Show2 p, Show1 f, Show1 g) => Show2 (Biff p f g) # |
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 liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Biff p f g a b] -> ShowS
(Biapplicative p, Applicative f, Applicative g) => Biapplicative (Biff p f g) # |
Instance details Defined in Data.Bifunctor.Biff Methods bipure :: a -> b -> Biff p f g a b # (<<*>>) :: Biff p f g (a -> b) (c -> d) -> Biff p f g a c -> Biff p f g b d # 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 # (*>>) :: Biff p f g a b -> Biff p f g c d -> Biff p f g c d # (<<*) :: Biff p f g a b -> Biff p f g c d -> Biff p f g a b #
(Bifoldable p, Foldable g) => Foldable (Biff p f g a) # |
Instance details Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m foldMap' :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 toList :: Biff p f g a a0 -> [a0] null :: Biff p f g a a0 -> Bool length :: Biff p f g a a0 -> Int elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool maximum :: Ord a0 => Biff p f g a a0 -> a0 minimum :: Ord a0 => Biff p f g a a0 -> a0 sum :: Num a0 => Biff p f g a a0 -> a0 product :: Num a0 => Biff p f g a a0 -> a0
(Eq2 p, Eq1 f, Eq1 g, Eq a) => Eq1 (Biff p f g a) # |
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
(Ord2 p, Ord1 f, Ord1 g, Ord a) => Ord1 (Biff p f g a) # |
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
(Read2 p, Read1 f, Read1 g, Read a) => Read1 (Biff p f g a) # |
Instance details Defined in Data.Bifunctor.Biff Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Biff p f g a a0) liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Biff p f g a a0] liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Biff p f g a a0) liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Biff p f g a a0]
(Show2 p, Show1 f, Show1 g, Show a) => Show1 (Biff p f g a) # |
Instance details Defined in Data.Bifunctor.Biff Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Biff p f g a a0 -> ShowS liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Biff p f g a a0] -> ShowS
(Bitraversable p, Traversable g) => Traversable (Biff p f g a) # |
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) sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0)
(Bifunctor p, Functor g) => Functor (Biff p f g a) # |
Instance details Defined in Data.Bifunctor.Biff Methods fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b # (<$) :: a0 -> Biff p f g a b -> Biff p f g a a0 #
Generic (Biff p f g a b) # |
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep (Biff p f g a b) :: Type -> Type Methods from :: Biff p f g a b -> Rep (Biff p f g a b) x to :: Rep (Biff p f g a b) x -> Biff p f g a b
Read (p (f a) (g b)) => Read (Biff p f g a b) # |
Instance details Defined in Data.Bifunctor.Biff Methods readsPrec :: Int -> ReadS (Biff p f g a b) readList :: ReadS [Biff p f g a b] readPrec :: ReadPrec (Biff p f g a b) readListPrec :: ReadPrec [Biff p f g a b]
Show (p (f a) (g b)) => Show (Biff p f g a b) # |
Instance details Defined in Data.Bifunctor.Biff Methods showsPrec :: Int -> Biff p f g a b -> ShowS show :: Biff p f g a b -> String showList :: [Biff p f g a b] -> ShowS
Eq (p (f a) (g b)) => Eq (Biff p f g a b) # |
Instance details Defined in Data.Bifunctor.Biff Methods (==) :: Biff p f g a b -> Biff p f g a b -> Bool (/=) :: Biff p f g a b -> Biff p f g a b -> Bool
Ord (p (f a) (g b)) => Ord (Biff p f g a b) # |
Instance details Defined in Data.Bifunctor.Biff Methods compare :: Biff p f g a b -> Biff p f g a b -> Ordering (<) :: Biff p f g a b -> Biff p f g a b -> Bool (<=) :: Biff p f g a b -> Biff p f g a b -> Bool (>) :: Biff p f g a b -> Biff p f g a b -> Bool (>=) :: Biff p f g a b -> Biff p f g a b -> Bool max :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b min :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b
type Rep1 (Biff p f g a :: k3 -> Type) # |
Instance details Defined in Data.Bifunctor.Biff type Rep1 (Biff p f g a :: k3 -> Type) = D1 ('MetaData "Biff" "Data.Bifunctor.Biff" "bifunctors-5.6.1-L69QUmtfyuCC1y2evrVacR" '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) # |
Instance details Defined in Data.Bifunctor.Biff type Rep (Biff p f g a b) = D1 ('MetaData "Biff" "Data.Bifunctor.Biff" "bifunctors-5.6.1-L69QUmtfyuCC1y2evrVacR" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (f a) (g b)))))