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

Control.Applicative.Backwards

Description

Making functors with an Applicative instance that performs actions in the reverse order.

Synopsis

newtype Backwards f a = Backwards {
- forwards :: f a
}

Documentation

newtype Backwards f a Source #

The same functor, but with an Applicative instance that performs actions in the reverse order.

Constructors

Backwards

Fields

forwards :: f a

Instances

Functor f => Functor (Backwards f) Source #

Derived instance.

Instance details

Defined in Control.Applicative.Backwards

Methods

fmap :: (a -> b) -> Backwards f a -> Backwards f b #

(<$) :: a -> Backwards f b -> Backwards f a #

Applicative f => Applicative (Backwards f) Source #

Apply f-actions in the reverse order.

Instance details

Defined in Control.Applicative.Backwards

Methods

pure :: a -> Backwards f a #

(<*>) :: Backwards f (a -> b) -> Backwards f a -> Backwards f b #

liftA2 :: (a -> b -> c) -> Backwards f a -> Backwards f b -> Backwards f c #

(*>) :: Backwards f a -> Backwards f b -> Backwards f b #

(<*) :: Backwards f a -> Backwards f b -> Backwards f a #

Foldable f => Foldable (Backwards f) Source #

Derived instance.

Instance details

Defined in Control.Applicative.Backwards

Methods

fold :: Monoid m => Backwards f m -> m #

foldMap :: Monoid m => (a -> m) -> Backwards f a -> m #

foldr :: (a -> b -> b) -> b -> Backwards f a -> b #

foldr' :: (a -> b -> b) -> b -> Backwards f a -> b #

foldl :: (b -> a -> b) -> b -> Backwards f a -> b #

foldl' :: (b -> a -> b) -> b -> Backwards f a -> b #

foldr1 :: (a -> a -> a) -> Backwards f a -> a #

foldl1 :: (a -> a -> a) -> Backwards f a -> a #

toList :: Backwards f a -> [a] #

null :: Backwards f a -> Bool #

length :: Backwards f a -> Int #

elem :: Eq a => a -> Backwards f a -> Bool #

maximum :: Ord a => Backwards f a -> a #

minimum :: Ord a => Backwards f a -> a #

sum :: Num a => Backwards f a -> a #

product :: Num a => Backwards f a -> a #

Traversable f => Traversable (Backwards f) Source #

Derived instance.

Instance details

Defined in Control.Applicative.Backwards

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) #

sequenceA :: Applicative f0 => Backwards f (f0 a) -> f0 (Backwards f a) #

mapM :: Monad m => (a -> m b) -> Backwards f a -> m (Backwards f b) #

sequence :: Monad m => Backwards f (m a) -> m (Backwards f a) #

Contravariant f => Contravariant (Backwards f) Source #

Derived instance.

Instance details

Defined in Control.Applicative.Backwards

Methods

contramap :: (a -> b) -> Backwards f b -> Backwards f a #

(>$) :: b -> Backwards f b -> Backwards f a #

Eq1 f => Eq1 (Backwards f) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

liftEq :: (a -> b -> Bool) -> Backwards f a -> Backwards f b -> Bool #

Ord1 f => Ord1 (Backwards f) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

liftCompare :: (a -> b -> Ordering) -> Backwards f a -> Backwards f b -> Ordering #

Read1 f => Read1 (Backwards f) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Backwards f a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Backwards f a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Backwards f a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Backwards f a] #

Show1 f => Show1 (Backwards f) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Backwards f a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Backwards f a] -> ShowS #

Alternative f => Alternative (Backwards f) Source #

Try alternatives in the same order as f.

Instance details

Defined in Control.Applicative.Backwards

Methods

empty :: Backwards f a #

(<|>) :: Backwards f a -> Backwards f a -> Backwards f a #

some :: Backwards f a -> Backwards f [a] #

many :: Backwards f a -> Backwards f [a] #

(Eq1 f, Eq a) => Eq (Backwards f a) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

(==) :: Backwards f a -> Backwards f a -> Bool #

(/=) :: Backwards f a -> Backwards f a -> Bool #

(Ord1 f, Ord a) => Ord (Backwards f a) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

compare :: Backwards f a -> Backwards f a -> Ordering #

(<) :: Backwards f a -> Backwards f a -> Bool #

(<=) :: Backwards f a -> Backwards f a -> Bool #

(>) :: Backwards f a -> Backwards f a -> Bool #

(>=) :: Backwards f a -> Backwards f a -> Bool #

max :: Backwards f a -> Backwards f a -> Backwards f a #

min :: Backwards f a -> Backwards f a -> Backwards f a #

(Read1 f, Read a) => Read (Backwards f a) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

readsPrec :: Int -> ReadS (Backwards f a) #

readList :: ReadS [Backwards f a] #

readPrec :: ReadPrec (Backwards f a) #

readListPrec :: ReadPrec [Backwards f a] #

(Show1 f, Show a) => Show (Backwards f a) Source #

Instance details

Defined in Control.Applicative.Backwards

Methods

showsPrec :: Int -> Backwards f a -> ShowS #

show :: Backwards f a -> String #

showList :: [Backwards f a] -> ShowS #