Data.Bifunctor.Fix

Documentation

newtype Fix p a

Greatest fixpoint of a Bifunctor (a Functor over the first argument with zipping).

Constructors

In

Fields

• out :: p (Fix p a) a

Instances

Bifunctor p => Functor (Fix * p)

Methods

fmap :: (a -> b) -> Fix * p a -> Fix * p b

(<$) :: a -> Fix * p b -> Fix * p a

Biapplicative p => Applicative (Fix * p)

Methods

pure :: a -> Fix * p a

(<*>) :: Fix * p (a -> b) -> Fix * p a -> Fix * p b

(*>) :: Fix * p a -> Fix * p b -> Fix * p b

(<*) :: Fix * p a -> Fix * p b -> Fix * p a

Bifoldable p => Foldable (Fix * p)

Methods

fold :: Monoid m => Fix * p m -> m

foldMap :: Monoid m => (a -> m) -> Fix * p a -> m

foldr :: (a -> b -> b) -> b -> Fix * p a -> b

foldr' :: (a -> b -> b) -> b -> Fix * p a -> b

foldl :: (b -> a -> b) -> b -> Fix * p a -> b

foldl' :: (b -> a -> b) -> b -> Fix * p a -> b

foldr1 :: (a -> a -> a) -> Fix * p a -> a

foldl1 :: (a -> a -> a) -> Fix * p a -> a

toList :: Fix * p a -> [a]

null :: Fix * p a -> Bool

length :: Fix * p a -> Int

elem :: Eq a => a -> Fix * p a -> Bool

maximum :: Ord a => Fix * p a -> a

minimum :: Ord a => Fix * p a -> a

sum :: Num a => Fix * p a -> a

product :: Num a => Fix * p a -> a

Bitraversable p => Traversable (Fix * p)

Methods

traverse :: Applicative f => (a -> f b) -> Fix * p a -> f (Fix * p b)

sequenceA :: Applicative f => Fix * p (f a) -> f (Fix * p a)

mapM :: Monad m => (a -> m b) -> Fix * p a -> m (Fix * p b)

sequence :: Monad m => Fix * p (m a) -> m (Fix * p a)

Eq (p (Fix k p a) a) => Eq (Fix k p a)

Methods

(==) :: Fix k p a -> Fix k p a -> Bool

(/=) :: Fix k p a -> Fix k p a -> Bool

Ord (p (Fix k p a) a) => Ord (Fix k p a)

Methods

compare :: Fix k p a -> Fix k p a -> Ordering

(<) :: Fix k p a -> Fix k p a -> Bool

(<=) :: Fix k p a -> Fix k p a -> Bool

(>) :: Fix k p a -> Fix k p a -> Bool

(>=) :: Fix k p a -> Fix k p a -> Bool

max :: Fix k p a -> Fix k p a -> Fix k p a

min :: Fix k p a -> Fix k p a -> Fix k p a

Read (p (Fix k p a) a) => Read (Fix k p a)

Methods

readsPrec :: Int -> ReadS (Fix k p a)

readList :: ReadS [Fix k p a]

readPrec :: ReadPrec (Fix k p a)

readListPrec :: ReadPrec [Fix k p a]

Show (p (Fix k p a) a) => Show (Fix k p a)

Methods

showsPrec :: Int -> Fix k p a -> ShowS

show :: Fix k p a -> String

showList :: [Fix k p a] -> ShowS

Generic (Fix k p a)

Associated Types

type Rep (Fix k p a) :: * -> *

Methods

from :: Fix k p a -> Rep (Fix k p a) x

to :: Rep (Fix k p a) x -> Fix k p a

type Rep (Fix k p a)