Control.Lens.Internal.Level

This module provides implementation details of the combinators in Control.Lens.Level, which provides for the breadth-first Traversal of an arbitrary Traversal.

Levels

data Level i a

This data type represents a path-compressed copy of one level of a source data structure. We can safely use path-compression because we know the depth of the tree.

Path compression is performed by viewing a Level as a PATRICIA trie of the paths into the structure to leaves at a given depth, similar in many ways to a IntMap, but unlike a regular PATRICIA trie we do not need to store the mask bits merely the depth of the fork.

One invariant of this structure is that underneath a Two node you will not find any Zero nodes, so Zero can only occur at the root.

Constructors

Two !Word !(Level i a) !(Level i a)

One i a

Zero

Instances

TraversableWithIndex i (Level i)

Methods

itraverse :: Applicative f => (i -> a -> f b) -> Level i a -> f (Level i b)

itraversed :: (Indexable i p, Applicative f) => p a (f b) -> Level i a -> f (Level i b)

FoldableWithIndex i (Level i)

Methods

ifoldMap :: Monoid m => (i -> a -> m) -> Level i a -> m

ifolded :: (Indexable i p, Contravariant f, Applicative f) => p a (f a) -> Level i a -> f (Level i a)

ifoldr :: (i -> a -> b -> b) -> b -> Level i a -> b

ifoldl :: (i -> b -> a -> b) -> b -> Level i a -> b

ifoldr' :: (i -> a -> b -> b) -> b -> Level i a -> b

ifoldl' :: (i -> b -> a -> b) -> b -> Level i a -> b

FunctorWithIndex i (Level i)

Methods

imap :: (i -> a -> b) -> Level i a -> Level i b

imapped :: (Indexable i p, Settable f) => p a (f b) -> Level i a -> f (Level i b)

Functor (Level i)

Methods

fmap :: (a -> b) -> Level i a -> Level i b

(<$) :: a -> Level i b -> Level i a

Foldable (Level i)

Methods

fold :: Monoid m => Level i m -> m

foldMap :: Monoid m => (a -> m) -> Level i a -> m

foldr :: (a -> b -> b) -> b -> Level i a -> b

foldr' :: (a -> b -> b) -> b -> Level i a -> b

foldl :: (b -> a -> b) -> b -> Level i a -> b

foldl' :: (b -> a -> b) -> b -> Level i a -> b

foldr1 :: (a -> a -> a) -> Level i a -> a

foldl1 :: (a -> a -> a) -> Level i a -> a

toList :: Level i a -> [a]

null :: Level i a -> Bool

length :: Level i a -> Int

elem :: Eq a => a -> Level i a -> Bool

maximum :: Ord a => Level i a -> a

minimum :: Ord a => Level i a -> a

sum :: Num a => Level i a -> a

product :: Num a => Level i a -> a

Traversable (Level i)

Methods

traverse :: Applicative f => (a -> f b) -> Level i a -> f (Level i b)

sequenceA :: Applicative f => Level i (f a) -> f (Level i a)

mapM :: Monad m => (a -> m b) -> Level i a -> m (Level i b)

sequence :: Monad m => Level i (m a) -> m (Level i a)

(Eq i, Eq a) => Eq (Level i a)

Methods

(==) :: Level i a -> Level i a -> Bool

(/=) :: Level i a -> Level i a -> Bool

(Ord i, Ord a) => Ord (Level i a)

Methods

compare :: Level i a -> Level i a -> Ordering

(<) :: Level i a -> Level i a -> Bool

(<=) :: Level i a -> Level i a -> Bool

(>) :: Level i a -> Level i a -> Bool

(>=) :: Level i a -> Level i a -> Bool

max :: Level i a -> Level i a -> Level i a

min :: Level i a -> Level i a -> Level i a

(Read i, Read a) => Read (Level i a)

Methods

readsPrec :: Int -> ReadS (Level i a)

readList :: ReadS [Level i a]

readPrec :: ReadPrec (Level i a)

readListPrec :: ReadPrec [Level i a]

(Show i, Show a) => Show (Level i a)

Methods

showsPrec :: Int -> Level i a -> ShowS

show :: Level i a -> String

showList :: [Level i a] -> ShowS

newtype Deepening i a

This is an illegal Monoid used to construct a single Level.

Constructors

Deepening

Fields

• runDeepening :: forall r. Int -> (Level i a -> Bool -> r) -> r

Instances

Monoid (Deepening i a)

This is an illegal Monoid.

Methods

mempty :: Deepening i a

mappend :: Deepening i a -> Deepening i a -> Deepening i a

mconcat :: [Deepening i a] -> Deepening i a

Semigroup (Deepening i a)

Methods

(<>) :: Deepening i a -> Deepening i a -> Deepening i a

sconcat :: NonEmpty (Deepening i a) -> Deepening i a

times1p :: Natural -> Deepening i a -> Deepening i a

deepening :: i -> a -> Deepening i a

Generate the leaf of a given Deepening based on whether or not we're at the correct depth.

newtype Flows i b a

This is an illegal Applicative used to replace the contents of a list of consecutive Level values representing each layer of a structure into the original shape that they were derived from.

Attempting to Flow something back into a shape other than the one it was taken from will fail.

Constructors

Flows

Fields

• runFlows :: [Level i b] -> a

Instances

Functor (Flows i b)

Methods

fmap :: (a -> c) -> Flows i b a -> Flows i b c

(<$) :: a -> Flows i b c -> Flows i b a

Applicative (Flows i b)

This is an illegal Applicative.

Methods

pure :: a -> Flows i b a

(<*>) :: Flows i b (a -> c) -> Flows i b a -> Flows i b c

(*>) :: Flows i b a -> Flows i b c -> Flows i b c

(<*) :: Flows i b a -> Flows i b c -> Flows i b a

Apply (Flows i b)

Methods

(<.>) :: Flows i b (a -> c) -> Flows i b a -> Flows i b c

(.>) :: Flows i b a -> Flows i b c -> Flows i b c

(<.) :: Flows i b a -> Flows i b c -> Flows i b a