optics-core-0.4.1.1: Optics as an abstract interface: core definitions
Safe HaskellSafe-Inferred
LanguageHaskell2010

Optics.IxLens

Description

An IxLens is an indexed version of a Lens. See the "Indexed optics" section of the overview documentation in the Optics module of the main optics package for more details on indexed optics.

Synopsis

Formation

type IxLens i s t a b = Optic A_Lens (WithIx i) s t a b Source #

Type synonym for a type-modifying indexed lens.

type IxLens' i s a = Optic' A_Lens (WithIx i) s a Source #

Type synonym for a type-preserving indexed lens.

Introduction

ilens :: (s -> (i, a)) -> (s -> b -> t) -> IxLens i s t a b Source #

Build an indexed lens from a getter and a setter.

If you want to build an IxLens from the van Laarhoven representation, use ilensVL.

Elimination

An IxLens is in particular an IxGetter and an IxSetter, therefore you can specialise types to obtain:

iview :: IxLens i s t a b -> s -> (i, a)
iover :: IxLens i s t a b -> (i -> a -> b) -> s -> t
iset  :: IxLens i s t a b -> (i      -> b) -> s -> t

Additional introduction forms

chosen :: IxLens (Either () ()) (Either a a) (Either b b) a b Source #

Focus on both sides of an Either.

devoid :: IxLens' i Void a Source #

There is an indexed field for every type in the Void.

>>> set (mapped % devoid) 1 []
[]
>>> over (_Just % devoid) abs Nothing
Nothing

ifst :: IxLens i (a, i) (b, i) a b Source #

Indexed _1 with other half of a pair as an index.

See isnd for examples.

Since: 0.4

isnd :: IxLens i (i, a) (i, b) a b Source #

Indexed _2 with other half of a pair as an index. Specialized version of itraversed to pairs, which can be IxLens.

>>> iview isnd ('a', True)
('a',True)

That is not possible with itraversed, because it is an IxTraversal.

>>> :t itraversed :: IxTraversal i (i, a) (i, b) a b
itraversed :: IxTraversal i (i, a) (i, b) a b
  :: IxTraversal i (i, a) (i, b) a b

Since: 0.4

Subtyping

data A_Lens :: OpticKind Source #

Tag for a lens.

Instances

Instances details
ReversibleOptic A_Lens Source # 
Instance details

Defined in Optics.Re

Associated Types

type ReversedOptic A_Lens = (r :: Type) Source #

Methods

re :: forall (is :: IxList) s t a b. AcceptsEmptyIndices "re" is => Optic A_Lens is s t a b -> Optic (ReversedOptic A_Lens) is b a t s Source #

Arrow arr => ArrowOptic A_Lens arr Source # 
Instance details

Defined in Optics.Arrow

Methods

overA :: forall (is :: IxList) s t a b. Optic A_Lens is s t a b -> arr a b -> arr s t Source #

Is A_Lens A_Fold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints A_Fold p => r Source #

Is A_Lens A_Getter Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints A_Getter p => r Source #

Is A_Lens A_Setter Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints A_Setter p => r Source #

Is A_Lens A_Traversal Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints A_Traversal p => r Source #

Is A_Lens An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints An_AffineFold p => r Source #

Is A_Lens An_AffineTraversal Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints A_Lens p => r) -> Constraints An_AffineTraversal p => r Source #

Is An_Iso A_Lens Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: forall (p :: Type -> Type -> Type -> Type) r. (Constraints An_Iso p => r) -> Constraints A_Lens p => r Source #

k ~ A_Fold => JoinKinds A_Fold A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Fold p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Getter => JoinKinds A_Getter A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Getter p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Fold => JoinKinds A_Lens A_Fold k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Fold p) => r) -> Constraints k p => r Source #

k ~ A_Getter => JoinKinds A_Lens A_Getter k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Getter p) => r) -> Constraints k p => r Source #

k ~ A_Lens => JoinKinds A_Lens A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ An_AffineTraversal => JoinKinds A_Lens A_Prism k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Prism p) => r) -> Constraints k p => r Source #

k ~ A_Getter => JoinKinds A_Lens A_ReversedPrism k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_ReversedPrism p) => r) -> Constraints k p => r Source #

k ~ A_Setter => JoinKinds A_Lens A_Setter k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Setter p) => r) -> Constraints k p => r Source #

k ~ A_Traversal => JoinKinds A_Lens A_Traversal k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints A_Traversal p) => r) -> Constraints k p => r Source #

k ~ An_AffineFold => JoinKinds A_Lens An_AffineFold k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints An_AffineFold p) => r) -> Constraints k p => r Source #

k ~ An_AffineTraversal => JoinKinds A_Lens An_AffineTraversal k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints An_AffineTraversal p) => r) -> Constraints k p => r Source #

k ~ A_Lens => JoinKinds A_Lens An_Iso k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Lens p, Constraints An_Iso p) => r) -> Constraints k p => r Source #

k ~ An_AffineTraversal => JoinKinds A_Prism A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Prism p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Getter => JoinKinds A_ReversedPrism A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_ReversedPrism p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Setter => JoinKinds A_Setter A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Setter p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Traversal => JoinKinds A_Traversal A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Traversal p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ An_AffineFold => JoinKinds An_AffineFold A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints An_AffineFold p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ An_AffineTraversal => JoinKinds An_AffineTraversal A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints An_AffineTraversal p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

k ~ A_Lens => JoinKinds An_Iso A_Lens k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints An_Iso p, Constraints A_Lens p) => r) -> Constraints k p => r Source #

IxOptic A_Lens s t a b Source # 
Instance details

Defined in Optics.Indexed.Core

Methods

noIx :: forall (is :: IxList). NonEmptyIndices is => Optic A_Lens is s t a b -> Optic A_Lens NoIx s t a b Source #

ToReadOnly A_Lens s t a b Source # 
Instance details

Defined in Optics.ReadOnly

Associated Types

type ReadOnlyOptic A_Lens Source #

Methods

getting :: forall (is :: IxList). Optic A_Lens is s t a b -> Optic' (ReadOnlyOptic A_Lens) is s a Source #

(Functor f, f ~ g, s ~ t, a ~ b) => MappingOptic A_Lens f g s t a b Source # 
Instance details

Defined in Optics.Mapping

Associated Types

type MappedOptic A_Lens Source #

Methods

mapping :: forall (is :: IxList). AcceptsEmptyIndices "mapping" is => Optic A_Lens is s t a b -> Optic (MappedOptic A_Lens) is (f s) (g t) (f a) (g b) Source #

type MappedOptic A_Lens Source # 
Instance details

Defined in Optics.Mapping

type ReversedOptic A_Lens Source # 
Instance details

Defined in Optics.Re

type ReadOnlyOptic A_Lens Source # 
Instance details

Defined in Optics.ReadOnly

van Laarhoven encoding

type IxLensVL i s t a b = forall f. Functor f => (i -> a -> f b) -> s -> f t Source #

Type synonym for a type-modifying van Laarhoven indexed lens.

type IxLensVL' i s a = IxLensVL i s s a a Source #

Type synonym for a type-preserving van Laarhoven indexed lens.

ilensVL :: IxLensVL i s t a b -> IxLens i s t a b Source #

Build an indexed lens from the van Laarhoven representation.

toIxLensVL :: (Is k A_Lens, is `HasSingleIndex` i) => Optic k is s t a b -> IxLensVL i s t a b Source #

Convert an indexed lens to its van Laarhoven representation.

withIxLensVL :: (Is k A_Lens, is `HasSingleIndex` i) => Optic k is s t a b -> (IxLensVL i s t a b -> r) -> r Source #

Work with an indexed lens in the van Laarhoven representation.