bifunctors-5.6.2: Bifunctors
Copyright(C) 2008-2016 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
Portabilitynon-portable
Safe HaskellSafe
LanguageHaskell2010

Data.Bifunctor.Fix

Description

 
Synopsis

Documentation

newtype Fix (p :: Type -> k -> Type) (a :: k) Source #

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

Constructors

In 

Fields

Instances

Instances details
Bifoldable p => Foldable (Fix p) Source # 
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) Source # 
Instance details

Defined in Data.Bifunctor.Fix

Methods

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

Ord2 p => Ord1 (Fix p) Source # 
Instance details

Defined in Data.Bifunctor.Fix

Methods

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

Read2 p => Read1 (Fix p) Source # 
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) Source # 
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) Source # 
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) Source # 
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) Source # 
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) Source # 
Instance details

Defined in Data.Bifunctor.Fix

Associated Types

type Rep (Fix p a) 
Instance details

Defined in Data.Bifunctor.Fix

type Rep (Fix p a) = D1 ('MetaData "Fix" "Data.Bifunctor.Fix" "bifunctors-5.6.2-EFCED5cRXUbF5ynLhzsEHB" 'True) (C1 ('MetaCons "In" 'PrefixI 'True) (S1 ('MetaSel ('Just "out") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (Fix p a) a))))

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) Source # 
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) Source # 
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) Source # 
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) Source # 
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) Source # 
Instance details

Defined in Data.Bifunctor.Fix

type Rep (Fix p a) = D1 ('MetaData "Fix" "Data.Bifunctor.Fix" "bifunctors-5.6.2-EFCED5cRXUbF5ynLhzsEHB" 'True) (C1 ('MetaCons "In" 'PrefixI 'True) (S1 ('MetaSel ('Just "out") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (p (Fix p a) a))))