Data.Bifunctor.Clown

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

Documentation

newtype Clown f a b

Make a Functor over the first argument of a Bifunctor.

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

Constructors

Clown

Fields

• runClown :: f a

Instances

Generic1 (Clown f a :: k1 -> Type)

Defined in Data.Bifunctor.Clown

Associated Types

type Rep1 (Clown f a) :: k -> Type

Methods

from1 :: forall (a0 :: k). Clown f a a0 -> Rep1 (Clown f a) a0

to1 :: forall (a0 :: k). Rep1 (Clown f a) a0 -> Clown f a a0

Traversable f => Bitraversable (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

bitraverse :: Applicative f0 => (a -> f0 c) -> (b -> f0 d) -> Clown f a b -> f0 (Clown f c d)

Foldable f => Bifoldable (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

bifold :: Monoid m => Clown f m m -> m

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Clown f a b -> m

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Clown f a b -> c

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Clown f a b -> c

Functor f => Bifunctor (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

bimap :: (a -> b) -> (c -> d) -> Clown f a c -> Clown f b d

first :: (a -> b) -> Clown f a c -> Clown f b c

second :: (b -> c) -> Clown f a b -> Clown f a c

Eq1 f => Eq2 (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Clown f a c -> Clown f b d -> Bool

Ord1 f => Ord2 (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Clown f a c -> Clown f b d -> Ordering

Read1 f => Read2 (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Clown f a b)

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Clown f a b]

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Clown f a b)

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Clown f a b]

Show1 f => Show2 (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Clown f a b -> ShowS

liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Clown f a b] -> ShowS

Applicative f => Biapplicative (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

bipure :: a -> b -> Clown f a b

(<<*>>) :: Clown f (a -> b) (c -> d) -> Clown f a c -> Clown f b d

biliftA2 :: (a -> b -> c) -> (d -> e -> f0) -> Clown f a d -> Clown f b e -> Clown f c f0

(*>>) :: Clown f a b -> Clown f c d -> Clown f c d

(<<*) :: Clown f a b -> Clown f c d -> Clown f a b

Functor (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

fmap :: (a0 -> b) -> Clown f a a0 -> Clown f a b

(<$) :: a0 -> Clown f a b -> Clown f a a0

Foldable (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

fold :: Monoid m => Clown f a m -> m

foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Clown f a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0

toList :: Clown f a a0 -> [a0]

null :: Clown f a a0 -> Bool

length :: Clown f a a0 -> Int

elem :: Eq a0 => a0 -> Clown f a a0 -> Bool

maximum :: Ord a0 => Clown f a a0 -> a0

minimum :: Ord a0 => Clown f a a0 -> a0

sum :: Num a0 => Clown f a a0 -> a0

product :: Num a0 => Clown f a a0 -> a0

Traversable (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b)

sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0)

mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b)

sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0)

(Eq1 f, Eq a) => Eq1 (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftEq :: (a0 -> b -> Bool) -> Clown f a a0 -> Clown f a b -> Bool

(Ord1 f, Ord a) => Ord1 (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftCompare :: (a0 -> b -> Ordering) -> Clown f a a0 -> Clown f a b -> Ordering

(Read1 f, Read a) => Read1 (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Clown f a a0)

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Clown f a a0]

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Clown f a a0)

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Clown f a a0]

(Show1 f, Show a) => Show1 (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Clown f a a0 -> ShowS

liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Clown f a a0] -> ShowS

Eq (f a) => Eq (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

(==) :: Clown f a b -> Clown f a b -> Bool

(/=) :: Clown f a b -> Clown f a b -> Bool

Ord (f a) => Ord (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

compare :: Clown f a b -> Clown f a b -> Ordering

(<) :: Clown f a b -> Clown f a b -> Bool

(<=) :: Clown f a b -> Clown f a b -> Bool

(>) :: Clown f a b -> Clown f a b -> Bool

(>=) :: Clown f a b -> Clown f a b -> Bool

max :: Clown f a b -> Clown f a b -> Clown f a b

min :: Clown f a b -> Clown f a b -> Clown f a b

Read (f a) => Read (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

readsPrec :: Int -> ReadS (Clown f a b)

readList :: ReadS [Clown f a b]

readPrec :: ReadPrec (Clown f a b)

readListPrec :: ReadPrec [Clown f a b]

Show (f a) => Show (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

showsPrec :: Int -> Clown f a b -> ShowS

show :: Clown f a b -> String

showList :: [Clown f a b] -> ShowS

Generic (Clown f a b)

Defined in Data.Bifunctor.Clown

Associated Types

type Rep (Clown f a b) :: Type -> Type

Methods

from :: Clown f a b -> Rep (Clown f a b) x

to :: Rep (Clown f a b) x -> Clown f a b

type Rep1 (Clown f a :: k1 -> Type)

Defined in Data.Bifunctor.Clown

type Rep1 (Clown f a :: k1 -> Type) = D1 ('MetaData "Clown" "Data.Bifunctor.Clown" "bifunctors-5.5.11-Kp1b1XWCn7K12zKnFtBIxm" 'True) (C1 ('MetaCons "Clown" 'PrefixI 'True) (S1 ('MetaSel ('Just "runClown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

type Rep (Clown f a b)

Defined in Data.Bifunctor.Clown

type Rep (Clown f a b) = D1 ('MetaData "Clown" "Data.Bifunctor.Clown" "bifunctors-5.5.11-Kp1b1XWCn7K12zKnFtBIxm" 'True) (C1 ('MetaCons "Clown" 'PrefixI 'True) (S1 ('MetaSel ('Just "runClown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))