Control.Applicative.Backwards

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

Documentation

newtype Backwards f a

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)

Derived instance.

Methods

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

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

Applicative f => Applicative (Backwards * f)

Apply f-actions in the reverse order.

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)

Derived instance.

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)

Derived instance.

Methods

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

sequenceA :: Applicative f => Backwards * f (f a) -> f (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)

Eq1 f => Eq1 (Backwards * f)

Methods

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

Ord1 f => Ord1 (Backwards * f)

Methods

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

Read1 f => Read1 (Backwards * f)

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)

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)

Try alternatives in the same order as f.

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)

Methods

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

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

(Ord1 f, Ord a) => Ord (Backwards * f a)

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)

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)

Methods

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

show :: Backwards * f a -> String

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