lens-4.11.1: Lenses, Folds and Traversals

Copyright(C) 2012-2015 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityexperimental
Portabilitynon-portable
Safe HaskellSafe
LanguageHaskell98

Control.Lens.Internal.Indexed

Contents

Description

Internal implementation details for Indexed lens-likes

Synopsis

An Indexed Profunctor

newtype Indexed i a b Source

A function with access to a index. This constructor may be useful when you need to store an Indexable in a container to avoid ImpredicativeTypes.

index :: Indexed i a b -> i -> a -> b

Constructors

Indexed 

Fields

runIndexed :: i -> a -> b
 

Instances

Category * (Indexed i) Source 
(~) * i j => Indexable i (Indexed j) Source 
Arrow (Indexed i) Source 
ArrowChoice (Indexed i) Source 
ArrowApply (Indexed i) Source 
ArrowLoop (Indexed i) Source 
Profunctor (Indexed i) Source 
Strong (Indexed i) Source 
Costrong (Indexed i) Source 
Choice (Indexed i) Source 
Representable (Indexed i) Source 
Corepresentable (Indexed i) Source 
Conjoined (Indexed i) Source 
Bizarre (Indexed Int) Mafic Source 
Sieve (Indexed i) ((->) i) Source 
Cosieve (Indexed i) ((,) i) Source 
Sellable (Indexed i) (Molten i) Source 
Bizarre (Indexed i) (Molten i) Source 
Monad (Indexed i a) Source 
Functor (Indexed i a) Source 
MonadFix (Indexed i a) Source 
Applicative (Indexed i a) Source 
Bind (Indexed i a) Source 
Apply (Indexed i a) Source 
type Rep (Indexed i) = (->) i Source 
type Corep (Indexed i) = (,) i Source 

Classes

class (Choice p, Corepresentable p, Comonad (Corep p), Traversable (Corep p), Strong p, Representable p, Monad (Rep p), MonadFix (Rep p), Distributive (Rep p), Costrong p, ArrowLoop p, ArrowApply p, ArrowChoice p) => Conjoined p where Source

This is a Profunctor that is both Corepresentable by f and Representable by g such that f is left adjoint to g. From this you can derive a lot of structure due to the preservation of limits and colimits.

Minimal complete definition

Nothing

Methods

distrib :: Functor f => p a b -> p (f a) (f b) Source

Conjoined is strong enough to let us distribute every Conjoined Profunctor over every Haskell Functor. This is effectively a generalization of fmap.

conjoined :: ((p ~ (->)) => q (a -> b) r) -> q (p a b) r -> q (p a b) r Source

This permits us to make a decision at an outermost point about whether or not we use an index.

Ideally any use of this function should be done in such a way so that you compute the same answer, but this cannot be enforced at the type level.

Instances

class Conjoined p => Indexable i p where Source

This class permits overloading of function application for things that also admit a notion of a key or index.

Methods

indexed :: p a b -> i -> a -> b Source

Build a function from an indexed function.

Instances

Indexable i (->) Source 
(~) * i j => Indexable i (Indexed j) Source 

Indexing

newtype Indexing f a Source

Applicative composition of State Int with a Functor, used by indexed.

Constructors

Indexing 

Fields

runIndexing :: Int -> (Int, f a)
 

Instances

indexing :: Indexable Int p => ((a -> Indexing f b) -> s -> Indexing f t) -> p a (f b) -> s -> f t Source

Transform a Traversal into an IndexedTraversal or a Fold into an IndexedFold, etc.

indexing :: Traversal s t a b -> IndexedTraversal Int s t a b
indexing :: Prism s t a b     -> IndexedTraversal Int s t a b
indexing :: Lens s t a b      -> IndexedLens Int  s t a b
indexing :: Iso s t a b       -> IndexedLens Int s t a b
indexing :: Fold s a          -> IndexedFold Int s a
indexing :: Getter s a        -> IndexedGetter Int s a

indexing :: Indexable Int p => LensLike (Indexing f) s t a b -> Optical p (->) f s t a b

64-bit Indexing

newtype Indexing64 f a Source

Applicative composition of State Int64 with a Functor, used by indexed64.

Constructors

Indexing64 

Fields

runIndexing64 :: Int64 -> (Int64, f a)
 

Instances

indexing64 :: Indexable Int64 p => ((a -> Indexing64 f b) -> s -> Indexing64 f t) -> p a (f b) -> s -> f t Source

Transform a Traversal into an IndexedTraversal or a Fold into an IndexedFold, etc.

This combinator is like indexing except that it handles large traversals and folds gracefully.

indexing64 :: Traversal s t a b -> IndexedTraversal Int64 s t a b
indexing64 :: Prism s t a b     -> IndexedTraversal Int64 s t a b
indexing64 :: Lens s t a b      -> IndexedLens Int64 s t a b
indexing64 :: Iso s t a b       -> IndexedLens Int64 s t a b
indexing64 :: Fold s a          -> IndexedFold Int64 s a
indexing64 :: Getter s a        -> IndexedGetter Int64 s a

indexing64 :: Indexable Int64 p => LensLike (Indexing64 f) s t a b -> Over p f s t a b

Converting to Folds

withIndex :: (Indexable i p, Functor f) => p (i, s) (f (j, t)) -> Indexed i s (f t) Source

Fold a container with indices returning both the indices and the values.

The result is only valid to compose in a Traversal, if you don't edit the index as edits to the index have no effect.

asIndex :: (Indexable i p, Contravariant f, Functor f) => p i (f i) -> Indexed i s (f s) Source

When composed with an IndexedFold or IndexedTraversal this yields an (Indexed) Fold of the indices.