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

Functor f => Bifunctor (Clown * * f)

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

Foldable f => Bifoldable (Clown * * f)

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

Traversable f => Bitraversable (Clown * * f)

Methods

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

Applicative f => Biapplicative (Clown * * f)

Methods

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

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

(*>>) :: 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 * k f a)

Methods

fmap :: (a -> b) -> Clown * k f a a -> Clown * k f a b

(<$) :: a -> Clown * k f a b -> Clown * k f a a

Foldable (Clown * k f a)

Methods

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

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

foldr :: (a -> b -> b) -> b -> Clown * k f a a -> b

foldr' :: (a -> b -> b) -> b -> Clown * k f a a -> b

foldl :: (b -> a -> b) -> b -> Clown * k f a a -> b

foldl' :: (b -> a -> b) -> b -> Clown * k f a a -> b

foldr1 :: (a -> a -> a) -> Clown * k f a a -> a

foldl1 :: (a -> a -> a) -> Clown * k f a a -> a

toList :: Clown * k f a a -> [a]

null :: Clown * k f a a -> Bool

length :: Clown * k f a a -> Int

elem :: Eq a => a -> Clown * k f a a -> Bool

maximum :: Ord a => Clown * k f a a -> a

minimum :: Ord a => Clown * k f a a -> a

sum :: Num a => Clown * k f a a -> a

product :: Num a => Clown * k f a a -> a

Traversable (Clown * k f a)

Methods

traverse :: Applicative f => (a -> f b) -> Clown * k f a a -> f (Clown * k f a b)

sequenceA :: Applicative f => Clown * k f a (f a) -> f (Clown * k f a a)

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

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

Generic1 (Clown * k f a)

Associated Types

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

Methods

from1 :: Clown * k f a a -> Rep1 (Clown * k f a) a

to1 :: Rep1 (Clown * k f a) a -> Clown * k f a a

Eq (f a) => Eq (Clown k1 k f a b)

Methods

(==) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

(/=) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

Ord (f a) => Ord (Clown k1 k f a b)

Methods

compare :: Clown k1 k f a b -> Clown k1 k f a b -> Ordering

(<) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

(<=) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

(>) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

(>=) :: Clown k1 k f a b -> Clown k1 k f a b -> Bool

max :: Clown k1 k f a b -> Clown k1 k f a b -> Clown k1 k f a b

min :: Clown k1 k f a b -> Clown k1 k f a b -> Clown k1 k f a b

Read (f a) => Read (Clown k1 k f a b)

Methods

readsPrec :: Int -> ReadS (Clown k1 k f a b)

readList :: ReadS [Clown k1 k f a b]

readPrec :: ReadPrec (Clown k1 k f a b)

readListPrec :: ReadPrec [Clown k1 k f a b]

Show (f a) => Show (Clown k1 k f a b)

Methods

showsPrec :: Int -> Clown k1 k f a b -> ShowS

show :: Clown k1 k f a b -> String

showList :: [Clown k1 k f a b] -> ShowS

Generic (Clown k1 k f a b)

Associated Types

type Rep (Clown k1 k f a b) :: * -> *

Methods

from :: Clown k1 k f a b -> Rep (Clown k1 k f a b) x

to :: Rep (Clown k1 k f a b) x -> Clown k1 k f a b

type Rep1 (Clown * k f a)

type Rep1 (Clown * k f a) = D1 (MetaData "Clown" "Data.Bifunctor.Clown" "bifunctors-5.4-21nQkpnOsL4LQMbVs5dXHA" True) (C1 (MetaCons "Clown" PrefixI True) (S1 (MetaSel (Just Symbol "runClown") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))))

type Rep (Clown k1 k f a b)

type Rep (Clown k1 k f a b) = D1 (MetaData "Clown" "Data.Bifunctor.Clown" "bifunctors-5.4-21nQkpnOsL4LQMbVs5dXHA" True) (C1 (MetaCons "Clown" PrefixI True) (S1 (MetaSel (Just Symbol "runClown") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))))