optics-core-0.3: Optics as an abstract interface: core definitions

Safe HaskellNone
LanguageHaskell2010

Optics.AffineFold

Contents

Description

An AffineFold is a Fold that contains at most one element, or a Getter where the function may be partial.

Synopsis

Formation

type AffineFold s a = Optic' An_AffineFold NoIx s a Source #

Type synonym for an affine fold.

Introduction

afolding :: (s -> Maybe a) -> AffineFold s a Source #

Create an AffineFold from a partial function.

>>> preview (afolding listToMaybe) "foo"
Just 'f'

Elimination

preview :: Is k An_AffineFold => Optic' k is s a -> s -> Maybe a Source #

Retrieve the value targeted by an AffineFold.

>>> let _Right = prism Right $ either (Left . Left) Right
>>> preview _Right (Right 'x')
Just 'x'
>>> preview _Right (Left 'y')
Nothing

previews :: Is k An_AffineFold => Optic' k is s a -> (a -> r) -> s -> Maybe r Source #

Retrieve a function of the value targeted by an AffineFold.

Computation

preview (afolding f) ≡ f

Additional introduction forms

afoldVL :: (forall f. Functor f => (forall r. r -> f r) -> (a -> f u) -> s -> f v) -> AffineFold s a Source #

Obtain an AffineFold by lifting traverse_ like function.

afoldVL . atraverseOf_id
atraverseOf_ . afoldVLid

Since: 0.3

filtered :: (a -> Bool) -> AffineFold a a Source #

Filter result(s) of a fold that don't satisfy a predicate.

Additional elimination forms

atraverseOf_ :: (Is k An_AffineFold, Functor f) => Optic' k is s a -> (forall r. r -> f r) -> (a -> f u) -> s -> f () Source #

Traverse over the target of an AffineFold, computing a Functor-based answer, but unlike atraverseOf do not construct a new structure.

Since: 0.3

isn't :: Is k An_AffineFold => Optic' k is s a -> s -> Bool Source #

Check to see if this AffineFold doesn't match.

>>> isn't _Just Nothing
True

Monoid structure

AffineFold admits a monoid structure where afailing combines folds (returning a result from the second fold only if the first returns none) and the identity element is ignored (which returns no results).

Note: There is no summing equivalent that returns an AffineFold, because it would not need to return more than one result.

There is no Semigroup or Monoid instance for AffineFold, because there is not a unique choice of monoid to use that works for all optics, and the (<>) operator could not be used to combine optics of different kinds.

afailing :: (Is k An_AffineFold, Is l An_AffineFold) => Optic' k is s a -> Optic' l js s a -> AffineFold s a infixl 3 Source #

Try the first AffineFold. If it returns no entry, try the second one.

>>> preview (ix 1 % re _Left `afailing` ix 2 % re _Right) [0,1,2,3]
Just (Left 1)
>>> preview (ix 42 % re _Left `afailing` ix 2 % re _Right) [0,1,2,3]
Just (Right 2)

Subtyping

data An_AffineFold :: OpticKind Source #

Tag for an affine fold.

Instances
Is An_AffineFold A_Fold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is A_Getter An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is A_ReversedPrism An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is An_AffineTraversal An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is A_Prism An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is A_Lens An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

Is An_Iso An_AffineFold Source # 
Instance details

Defined in Optics.Internal.Optic.Subtyping

(s ~ t, a ~ b) => ToReadOnly An_AffineFold s t a b Source # 
Instance details

Defined in Optics.ReadOnly

(s ~ t, a ~ b) => IxOptic An_AffineFold s t a b Source # 
Instance details

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic An_AffineFold is s t a b -> Optic An_AffineFold NoIx s t a b Source #