bifunctors-5.6.2: 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 :: k -> k1 -> Type) (f :: k2 -> k) (g :: k3 -> k1) (a :: k2) (b :: k3) = Biff {
  - runBiff :: p (f a) (g b)
  }

# Documentation

newtype Biff (p :: k -> k1 -> Type) (f :: k2 -> k) (g :: k3 -> k1) (a :: k2) (b :: k3) #

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 :: 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-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (p (f a) :.: Rec1 g)))
Methods from1 :: forall (a0 :: k3). Biff p f g a a0 -> Rep1 (Biff p f g a) a0 # to1 :: forall (a0 :: k3). 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) |
Instance details Defined in Data.Bifunctor.Biff type Rep (Biff p f g a b) = D1 ('MetaData "Biff" "Data.Bifunctor.Biff" "bifunctors-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (f a) (g b)))))
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-5.6.2-BwJEHVBCec7K8po0blH047" '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-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Biff" 'PrefixI 'True) (S1 ('MetaSel ('Just "runBiff") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (f a) (g b)))))