Data.Bifunctor.Joker

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.Joker

Description

From the Functional Pearl "Clowns to the Left of me, Jokers to the Right: Dissecting Data Structures" by Conor McBride.

Synopsis

- newtype Joker (g :: k -> Type) (a :: k1) (b :: k) = Joker {
  - runJoker :: g b
  }

# Documentation

newtype Joker (g :: k -> Type) (a :: k1) (b :: k) #

Make a `Functor` over the second argument of a `Bifunctor`.

Mnemonic: Clowns to the left (parameter of the Bifunctor), jokers to the right.

Constructors

Joker |
Fields runJoker :: g b

#### Instances

Instances details

Generic1 (Joker g a :: k1 -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Associated Types
type Rep1 (Joker g a :: k1 -> Type) |
Instance details Defined in Data.Bifunctor.Joker type Rep1 (Joker g a :: k1 -> Type) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6.2-OFrj7iAEE2GFzeo61y3eE" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))
Methods from1 :: forall (a0 :: k1). Joker g a a0 -> Rep1 (Joker g a) a0 # to1 :: forall (a0 :: k1). Rep1 (Joker g a) a0 -> Joker g a a0 #
Foldable g => Bifoldable (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods bifold :: Monoid m => Joker g m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Joker g a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Joker g a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Joker g a b -> c #
Foldable1 g => Bifoldable1 (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods bifold1 :: Semigroup m => Joker g m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Joker g a b -> m #
Functor g => Bifunctor (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods bimap :: (a -> b) -> (c -> d) -> Joker g a c -> Joker g b d # first :: (a -> b) -> Joker g a c -> Joker g b c # second :: (b -> c) -> Joker g a b -> Joker g a c #
Traversable g => Bitraversable (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Joker g a b -> f (Joker g c d) #
Eq1 g => Eq2 (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Joker g a c -> Joker g b d -> Bool #
Ord1 g => Ord2 (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Joker g a c -> Joker g b d -> Ordering #
Read1 g => Read2 (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Joker g a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Joker g a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Joker g a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Joker g a b] #
Show1 g => Show2 (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Joker g a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Joker g a b] -> ShowS #
Applicative g => Biapplicative (Joker g :: Type -> Type -> Type) # |
Instance details Defined in Data.Bifunctor.Joker Methods bipure :: a -> b -> Joker g a b # (<<*>>) :: Joker g (a -> b) (c -> d) -> Joker g a c -> Joker g b d # biliftA2 :: (a -> b -> c) -> (d -> e -> f) -> Joker g a d -> Joker g b e -> Joker g c f # (*>>) :: Joker g a b -> Joker g c d -> Joker g c d # (<<*) :: Joker g a b -> Joker g c d -> Joker g a b #
Foldable1 g => Foldable1 (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods fold1 :: Semigroup m => Joker g a m -> m # foldMap1 :: Semigroup m => (a0 -> m) -> Joker g a a0 -> m # foldMap1' :: Semigroup m => (a0 -> m) -> Joker g a a0 -> m # toNonEmpty :: Joker g a a0 -> NonEmpty a0 # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # head :: Joker g a a0 -> a0 # last :: Joker g a a0 -> a0 # foldrMap1 :: (a0 -> b) -> (a0 -> b -> b) -> Joker g a a0 -> b # foldlMap1' :: (a0 -> b) -> (b -> a0 -> b) -> Joker g a a0 -> b # foldlMap1 :: (a0 -> b) -> (b -> a0 -> b) -> Joker g a a0 -> b # foldrMap1' :: (a0 -> b) -> (a0 -> b -> b) -> Joker g a a0 -> b #
Eq1 g => Eq1 (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftEq :: (a0 -> b -> Bool) -> Joker g a a0 -> Joker g a b -> Bool #
Ord1 g => Ord1 (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftCompare :: (a0 -> b -> Ordering) -> Joker g a a0 -> Joker g a b -> Ordering #
Read1 g => Read1 (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Joker g a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Joker g a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Joker g a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Joker g a a0] #
Show1 g => Show1 (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Joker g a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Joker g a a0] -> ShowS #
Functor g => Functor (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods fmap :: (a0 -> b) -> Joker g a a0 -> Joker g a b # (<$) :: a0 -> Joker g a b -> Joker g a a0 #
Foldable g => Foldable (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # toList :: Joker g a a0 -> [a0] # null :: Joker g a a0 -> Bool # length :: Joker g a a0 -> Int # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # sum :: Num a0 => Joker g a a0 -> a0 # product :: Num a0 => Joker g a a0 -> a0 #
Traversable g => Traversable (Joker g a) # |
Instance details Defined in Data.Bifunctor.Joker Methods traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) # sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0) # mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b) # sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0) #
Generic (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker Associated Types
type Rep (Joker g a b) |
Instance details Defined in Data.Bifunctor.Joker type Rep (Joker g a b) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6.2-OFrj7iAEE2GFzeo61y3eE" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g b))))
Methods from :: Joker g a b -> Rep (Joker g a b) x # to :: Rep (Joker g a b) x -> Joker g a b #
Read (g b) => Read (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker Methods readsPrec :: Int -> ReadS (Joker g a b) # readList :: ReadS [Joker g a b] # readPrec :: ReadPrec (Joker g a b) # readListPrec :: ReadPrec [Joker g a b] #
Show (g b) => Show (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker Methods showsPrec :: Int -> Joker g a b -> ShowS # show :: Joker g a b -> String # showList :: [Joker g a b] -> ShowS #
Eq (g b) => Eq (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker Methods (==) :: Joker g a b -> Joker g a b -> Bool # (/=) :: Joker g a b -> Joker g a b -> Bool #
Ord (g b) => Ord (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker Methods compare :: Joker g a b -> Joker g a b -> Ordering # (<) :: Joker g a b -> Joker g a b -> Bool # (<=) :: Joker g a b -> Joker g a b -> Bool # (>) :: Joker g a b -> Joker g a b -> Bool # (>=) :: Joker g a b -> Joker g a b -> Bool # max :: Joker g a b -> Joker g a b -> Joker g a b # min :: Joker g a b -> Joker g a b -> Joker g a b #
type Rep1 (Joker g a :: k1 -> Type) # |
Instance details Defined in Data.Bifunctor.Joker type Rep1 (Joker g a :: k1 -> Type) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6.2-OFrj7iAEE2GFzeo61y3eE" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))
type Rep (Joker g a b) # |
Instance details Defined in Data.Bifunctor.Joker type Rep (Joker g a b) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6.2-OFrj7iAEE2GFzeo61y3eE" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g b))))