Copyright	(c) Russell O'Connor 2009
License	BSD-style (see the file LICENSE)
Maintainer	R.Paterson@city.ac.uk
Stability	experimental
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Functor.Reverse

Description

Making functors whose elements are notionally in the reverse order from the original functor.

Synopsis

newtype Reverse f a = Reverse {
- getReverse :: f a
}

Documentation

newtype Reverse f a Source #

The same functor, but with Foldable and Traversable instances that process the elements in the reverse order.

Constructors

Reverse
Fields getReverse :: f a

Instances

Instances details

Monad m => Monad ( Reverse m) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods (>>=) :: Reverse m a -> (a -> Reverse m b) -> Reverse m b Source # (>>) :: Reverse m a -> Reverse m b -> Reverse m b Source # return :: a -> Reverse m a Source #
Functor f => Functor ( Reverse f) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods fmap :: (a -> b) -> Reverse f a -> Reverse f b Source # (<$) :: a -> Reverse f b -> Reverse f a Source #
MonadFail m => MonadFail ( Reverse m) Source #
Instance details Defined in Data.Functor.Reverse Methods fail :: String -> Reverse m a Source #
Applicative f => Applicative ( Reverse f) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods pure :: a -> Reverse f a Source # (<>) :: Reverse f (a -> b) -> Reverse f a -> Reverse f b Source # liftA2 :: (a -> b -> c) -> Reverse f a -> Reverse f b -> Reverse f c Source # (>) :: Reverse f a -> Reverse f b -> Reverse f b Source # (<*) :: Reverse f a -> Reverse f b -> Reverse f a Source #
Foldable f => Foldable ( Reverse f) Source #	Fold from right to left.
Instance details Defined in Data.Functor.Reverse Methods fold :: Monoid m => Reverse f m -> m Source # foldMap :: Monoid m => (a -> m) -> Reverse f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Reverse f a -> m Source # foldr :: (a -> b -> b) -> b -> Reverse f a -> b Source # foldr' :: (a -> b -> b) -> b -> Reverse f a -> b Source # foldl :: (b -> a -> b) -> b -> Reverse f a -> b Source # foldl' :: (b -> a -> b) -> b -> Reverse f a -> b Source # foldr1 :: (a -> a -> a) -> Reverse f a -> a Source # foldl1 :: (a -> a -> a) -> Reverse f a -> a Source # toList :: Reverse f a -> [a] Source # null :: Reverse f a -> Bool Source # length :: Reverse f a -> Int Source # elem :: Eq a => a -> Reverse f a -> Bool Source # maximum :: Ord a => Reverse f a -> a Source # minimum :: Ord a => Reverse f a -> a Source # sum :: Num a => Reverse f a -> a Source # product :: Num a => Reverse f a -> a Source #
Traversable f => Traversable ( Reverse f) Source #	Traverse from right to left.
Instance details Defined in Data.Functor.Reverse Methods traverse :: Applicative f0 => (a -> f0 b) -> Reverse f a -> f0 ( Reverse f b) Source # sequenceA :: Applicative f0 => Reverse f (f0 a) -> f0 ( Reverse f a) Source # mapM :: Monad m => (a -> m b) -> Reverse f a -> m ( Reverse f b) Source # sequence :: Monad m => Reverse f (m a) -> m ( Reverse f a) Source #
Contravariant f => Contravariant ( Reverse f) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods contramap :: (a -> b) -> Reverse f b -> Reverse f a Source # (>$) :: b -> Reverse f b -> Reverse f a Source #
Eq1 f => Eq1 ( Reverse f) Source #
Instance details Defined in Data.Functor.Reverse Methods liftEq :: (a -> b -> Bool ) -> Reverse f a -> Reverse f b -> Bool Source #
Ord1 f => Ord1 ( Reverse f) Source #
Instance details Defined in Data.Functor.Reverse Methods liftCompare :: (a -> b -> Ordering ) -> Reverse f a -> Reverse f b -> Ordering Source #
Read1 f => Read1 ( Reverse f) Source #
Instance details Defined in Data.Functor.Reverse Methods liftReadsPrec :: ( Int -> ReadS a) -> ReadS [a] -> Int -> ReadS ( Reverse f a) Source # liftReadList :: ( Int -> ReadS a) -> ReadS [a] -> ReadS [ Reverse f a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec ( Reverse f a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [ Reverse f a] Source #
Show1 f => Show1 ( Reverse f) Source #
Instance details Defined in Data.Functor.Reverse Methods liftShowsPrec :: ( Int -> a -> ShowS ) -> ([a] -> ShowS ) -> Int -> Reverse f a -> ShowS Source # liftShowList :: ( Int -> a -> ShowS ) -> ([a] -> ShowS ) -> [ Reverse f a] -> ShowS Source #
Alternative f => Alternative ( Reverse f) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods empty :: Reverse f a Source # (<\|>) :: Reverse f a -> Reverse f a -> Reverse f a Source # some :: Reverse f a -> Reverse f [a] Source # many :: Reverse f a -> Reverse f [a] Source #
MonadPlus m => MonadPlus ( Reverse m) Source #	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods mzero :: Reverse m a Source # mplus :: Reverse m a -> Reverse m a -> Reverse m a Source #
( Eq1 f, Eq a) => Eq ( Reverse f a) Source #
Instance details Defined in Data.Functor.Reverse Methods (==) :: Reverse f a -> Reverse f a -> Bool Source # (/=) :: Reverse f a -> Reverse f a -> Bool Source #
( Ord1 f, Ord a) => Ord ( Reverse f a) Source #
Instance details Defined in Data.Functor.Reverse Methods compare :: Reverse f a -> Reverse f a -> Ordering Source # (<) :: Reverse f a -> Reverse f a -> Bool Source # (<=) :: Reverse f a -> Reverse f a -> Bool Source # (>) :: Reverse f a -> Reverse f a -> Bool Source # (>=) :: Reverse f a -> Reverse f a -> Bool Source # max :: Reverse f a -> Reverse f a -> Reverse f a Source # min :: Reverse f a -> Reverse f a -> Reverse f a Source #
( Read1 f, Read a) => Read ( Reverse f a) Source #
Instance details Defined in Data.Functor.Reverse Methods readsPrec :: Int -> ReadS ( Reverse f a) Source # readList :: ReadS [ Reverse f a] Source # readPrec :: ReadPrec ( Reverse f a) Source # readListPrec :: ReadPrec [ Reverse f a] Source #
( Show1 f, Show a) => Show ( Reverse f a) Source #
Instance details Defined in Data.Functor.Reverse Methods showsPrec :: Int -> Reverse f a -> ShowS Source # show :: Reverse f a -> String Source # showList :: [ Reverse f a] -> ShowS Source #