optics-core-0.4.1: Optics as an abstract interface: core definitions
Safe HaskellNone
LanguageHaskell2010

Optics.IxAffineTraversal

Description

An IxAffineTraversal is an indexed version of an AffineTraversal. 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 IxAffineTraversal i s t a b = Optic An_AffineTraversal (WithIx i) s t a b Source #

Type synonym for a type-modifying indexed affine traversal.

type IxAffineTraversal' i s a = Optic' An_AffineTraversal (WithIx i) s a Source #

Type synonym for a type-preserving indexed affine traversal.

Introduction

iatraversal :: (s -> Either t (i, a)) -> (s -> b -> t) -> IxAffineTraversal i s t a b Source #

Build an indexed affine traversal from a matcher and an updater.

If you want to build an IxAffineTraversal from the van Laarhoven representation, use iatraversalVL.

Elimination

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

ipreview :: IxAffineTraversal i s t a b -> s -> Maybe (i, a)
iover    :: IxAffineTraversal i s t a b -> (i -> a -> b) -> s -> t
iset     :: IxAffineTraversal i s t a b -> (i      -> b) -> s -> t

Combinators

unsafeFilteredBy :: Is k An_AffineFold => Optic' k is a i -> IxAffineTraversal' i a a Source #

Obtain a potentially empty IxAffineTraversal by taking the element from another AffineFold and using it as an index.

  • - Note: This is not a legal IxTraversal, unless you are very careful not to invalidate the predicate on the target (see unsafeFiltered for more details).

Since: 0.3

Additional introduction forms

ignored :: IxAffineTraversal i s s a b Source #

This is the trivial empty IxAffineTraversal, i.e. the optic that targets no substructures.

This is the identity element when a Fold, AffineFold, IxFold, IxAffineFold, Traversal or IxTraversal is viewed as a monoid.

>>> 6 & ignored %~ absurd
6

Subtyping

data An_AffineTraversal :: OpticKind Source #

Tag for an affine traversal.

Instances

Instances details
Is An_AffineTraversal A_Fold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

Is An_AffineTraversal An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

Is An_AffineTraversal A_Setter Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

Is An_AffineTraversal A_Traversal Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

Is A_Prism An_AffineTraversal Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

ArrowChoice arr => ArrowOptic An_AffineTraversal arr Source # 
Instance details

Defined in Optics.Arrow

Methods

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

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

k ~ An_AffineFold => JoinKinds A_Getter An_AffineTraversal k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

k ~ An_AffineFold => JoinKinds A_ReversedPrism An_AffineTraversal k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

k ~ A_Fold => JoinKinds An_AffineTraversal A_Fold 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_Fold p) => r) -> Constraints k p => r Source #

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

k ~ An_AffineFold => JoinKinds An_AffineTraversal A_Getter 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_Getter p) => r) -> Constraints k p => r Source #

k ~ An_AffineFold => JoinKinds An_AffineTraversal A_ReversedPrism 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_ReversedPrism p) => r) -> Constraints k p => r Source #

k ~ A_Setter => JoinKinds An_AffineTraversal A_Setter 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_Setter p) => r) -> Constraints k p => r Source #

k ~ A_Traversal => JoinKinds An_AffineTraversal A_Traversal 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_Traversal p) => r) -> Constraints k p => r Source #

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

Defined in Optics.Internal.Optic.Subtyping

Methods

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

k ~ An_AffineTraversal => JoinKinds An_AffineTraversal A_Prism 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_Prism 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 ~ An_AffineTraversal => JoinKinds An_AffineTraversal An_Iso k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

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

Defined in Optics.Internal.Optic.Subtyping

Methods

joinKinds :: forall (p :: Type -> Type -> Type -> Type) r. ((Constraints A_Prism p, Constraints An_AffineTraversal 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 ~ An_AffineTraversal => JoinKinds An_Iso An_AffineTraversal k Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Methods

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

ToReadOnly An_AffineTraversal s t a b Source # 
Instance details

Defined in Optics.ReadOnly

Methods

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

IxOptic An_AffineTraversal s t a b Source # 
Instance details

Defined in Optics.Indexed.Core

Methods

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

type ReadOnlyOptic An_AffineTraversal Source # 
Instance details

Defined in Optics.ReadOnly

van Laarhoven encoding

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

Type synonym for a type-modifying van Laarhoven indexed affine traversal.

Note: this isn't exactly van Laarhoven representation as there is no Pointed class (which would be a superclass of Applicative that contains pure but not <*>). You can interpret the first argument as a dictionary of Pointed that supplies the point function (i.e. the implementation of pure).

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

Type synonym for a type-preserving van Laarhoven indexed affine traversal.

iatraversalVL :: IxAffineTraversalVL i s t a b -> IxAffineTraversal i s t a b Source #

Build an indexed affine traversal from the van Laarhoven representation.

iatraverseOf :: (Is k An_AffineTraversal, Functor f, is `HasSingleIndex` i) => Optic k is s t a b -> (forall r. r -> f r) -> (i -> a -> f b) -> s -> f t Source #

Traverse over the target of an IxAffineTraversal and compute a Functor-based answer.

Since: 0.3