Data.Bifunctor.Joker

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

Documentation

newtype Joker g a b

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

Generic1 (Joker g a :: k1 -> Type)

Defined in Data.Bifunctor.Joker

Associated Types

type Rep1 (Joker g a) :: k -> Type

Methods

from1 :: forall (a0 :: k). Joker g a a0 -> Rep1 (Joker g a) a0

to1 :: forall (a0 :: k). Rep1 (Joker g a) a0 -> Joker g a a0

Foldable g => Bifoldable (Joker g :: TYPE LiftedRep -> TYPE LiftedRep -> Type)

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

Functor g => Bifunctor (Joker g :: Type -> Type -> Type)

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)

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)

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)

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)

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 LiftedRep -> TYPE LiftedRep -> Type)

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)

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 => Bifoldable1 (Joker g :: TYPE LiftedRep -> TYPE LiftedRep -> Type)

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

Foldable g => Foldable (Joker g a)

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

Eq1 g => Eq1 (Joker g a)

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)

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)

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)

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

Traversable g => Traversable (Joker g a)

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)

Functor g => Functor (Joker g a)

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

Foldable1 g => Foldable1 (Joker g a)

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

Generic (Joker g a b)

Defined in Data.Bifunctor.Joker

Associated Types

type Rep (Joker g a b) :: Type -> Type

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)

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)

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)

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)

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)

Defined in Data.Bifunctor.Joker

type Rep1 (Joker g a :: k1 -> Type) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6-8j8DuS3SamL1CuBJbDn40d" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))

type Rep (Joker g a b)

Defined in Data.Bifunctor.Joker

type Rep (Joker g a b) = D1 ('MetaData "Joker" "Data.Bifunctor.Joker" "bifunctors-5.6-8j8DuS3SamL1CuBJbDn40d" 'True) (C1 ('MetaCons "Joker" 'PrefixI 'True) (S1 ('MetaSel ('Just "runJoker") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g b))))