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)

Defined in Data.Bifunctor.Fix

Methods

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

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

Biapplicative p => Applicative (Fix p)

Defined in Data.Bifunctor.Fix

Methods

pure :: a -> Fix p a

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

liftA2 :: (a -> b -> c) -> Fix p a -> Fix p b -> Fix p c

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

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

Bifoldable p => Foldable (Fix p)

Defined in Data.Bifunctor.Fix

Methods

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

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

Defined in Data.Bifunctor.Fix

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)

Eq2 p => Eq1 (Fix p)

Defined in Data.Bifunctor.Fix

Methods

liftEq :: (a -> b -> Bool) -> Fix p a -> Fix p b -> Bool

Ord2 p => Ord1 (Fix p)

Defined in Data.Bifunctor.Fix

Methods

liftCompare :: (a -> b -> Ordering) -> Fix p a -> Fix p b -> Ordering

Read2 p => Read1 (Fix p)

Defined in Data.Bifunctor.Fix

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Fix p a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Fix p a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Fix p a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Fix p a]

Show2 p => Show1 (Fix p)

Defined in Data.Bifunctor.Fix

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Fix p a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Fix p a] -> ShowS

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

Defined in Data.Bifunctor.Fix

Methods

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

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

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

Defined in Data.Bifunctor.Fix

Methods

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

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

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

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

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

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

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

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

Defined in Data.Bifunctor.Fix

Methods

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

readList :: ReadS [Fix p a]

readPrec :: ReadPrec (Fix p a)

readListPrec :: ReadPrec [Fix p a]

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

Defined in Data.Bifunctor.Fix

Methods

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

show :: Fix p a -> String

showList :: [Fix p a] -> ShowS

Generic (Fix p a)

Defined in Data.Bifunctor.Fix

Associated Types

type Rep (Fix p a) :: Type -> Type

Methods

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

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

type Rep (Fix p a)

Defined in Data.Bifunctor.Fix

type Rep (Fix p a) = D1 ('MetaData "Fix" "Data.Bifunctor.Fix" "bifunctors-5.5.10-1Xyw3zBBKdPGoolSEEYrSo" 'True) (C1 ('MetaCons "In" 'PrefixI 'True) (S1 ('MetaSel ('Just "out") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (Fix p a) a))))