bifunctors-5.6.1: Bifunctors

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 | Haskell2010

Data.Bifunctor.Fix

Description

Synopsis

- newtype Fix p a = In {
  - out :: p (Fix p a) a
  }

# 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

Instances details

Bifoldable p => Foldable (Fix p) # |
Instance details 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
Eq2 p => Eq1 (Fix p) # |
Instance details Defined in Data.Bifunctor.Fix Methods liftEq :: (a -> b -> Bool) -> Fix p a -> Fix p b -> Bool
Ord2 p => Ord1 (Fix p) # |
Instance details Defined in Data.Bifunctor.Fix Methods liftCompare :: (a -> b -> Ordering) -> Fix p a -> Fix p b -> Ordering
Read2 p => Read1 (Fix p) # |
Instance details 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) # |
Instance details 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
Bitraversable p => Traversable (Fix p) # |
Instance details 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)
Biapplicative p => Applicative (Fix p) # |
Instance details 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
Bifunctor p => Functor (Fix p) # |
Instance details Defined in Data.Bifunctor.Fix Methods fmap :: (a -> b) -> Fix p a -> Fix p b # (<$) :: a -> Fix p b -> Fix p a #
Generic (Fix p a) # |
Instance details 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
Read (p (Fix p a) a) => Read (Fix p a) # |
Instance details 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) # |
Instance details Defined in Data.Bifunctor.Fix Methods showsPrec :: Int -> Fix p a -> ShowS show :: Fix p a -> String showList :: [Fix p a] -> ShowS
Eq (p (Fix p a) a) => Eq (Fix p a) # |
Instance details 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) # |
Instance details 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
type Rep (Fix p a) # |
Instance details Defined in Data.Bifunctor.Fix type Rep (Fix p a) = D1 ('MetaData "Fix" "Data.Bifunctor.Fix" "bifunctors-5.6.1-L69QUmtfyuCC1y2evrVacR" 'True) (C1 ('MetaCons "In" 'PrefixI 'True) (S1 ('MetaSel ('Just "out") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (Fix p a) a))))