bifunctors-5.4: Bifunctors

Copyright(C) 2008-2016 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell98

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

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 # 
type Rep (Fix k p a) = D1 (MetaData "Fix" "Data.Bifunctor.Fix" "bifunctors-5.4-21nQkpnOsL4LQMbVs5dXHA" True) (C1 (MetaCons "In" PrefixI True) (S1 (MetaSel (Just Symbol "out") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (p (Fix k p a) a))))