Copyright	(C) 2008-2016 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	non-portable
Safe Haskell	Safe
Language	Haskell98

Data.Bifunctor.Fix

Description

Synopsis

Documentation

newtype Fix p a Source

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) Source
Methods fmap :: (a -> b) -> Fix * p a -> Fix * p b (<$) :: a -> Fix * p b -> Fix * p a
Biapplicative p => Applicative (Fix * p) Source
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) Source
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) Source
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) Source
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) Source
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) Source
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) Source
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) Source
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) Source