arrow-optics / arrow.optics / PPrism

PPrism

interface PPrism<S, T, A, B> : PPrismOf<S, T, A, B>

A Prism is a loss less invertible optic that can look into a structure and optionally find its focus. Mostly used for finding a focus that is only present under certain conditions i.e. list head Prism<List, Int>

A (polymorphic) PPrism is useful when setting or modifying a value for a polymorphic sum type i.e. PPrism<Option, Option, String, Int>

A PPrism gathers the two concepts of pattern matching and constructor and thus can be seen as a pair of functions:

  • getOrModify: A -> Either<A, B> meaning it returns the focus of a PPrism OR the original value
  • reverseGet : B -> A meaning we can construct the source type of a PPrism from a focus B

Parameters

S - the source of a PPrism

T - the modified source of a PPrism

A - the focus of a PPrism

B - the modified focus of a PPrism

Functions

all Check if there is no focus or the focus satisfies the predicateopen fun all(s: S, p: (A) -> Boolean): Boolean
asFold View a PPrism as a Foldopen fun asFold(): Fold<S, A>
asOptional View a PPrism as an POptionalopen fun asOptional(): POptional<S, T, A, B>
asSetter View a PPrism as a PSetteropen fun asSetter(): PSetter<S, T, A, B>
asTraversal View a PPrism as a PTraversalopen fun asTraversal(): PTraversal<S, T, A, B>
compose Compose a PPrism with another PPrismopen infix fun <C, D> compose(other: PPrism<A, B, C, D>): PPrism<S, T, C, D>
Compose an Iso as an PPrismopen infix fun <C, D> compose(other: PIso<A, B, C, D>): PPrism<S, T, C, D>
Compose a PPrism with a POptionalopen infix fun <C, D> compose(other: POptional<A, B, C, D>): POptional<S, T, C, D>
Compose a PPrism with a PLensopen infix fun <C, D> compose(other: PLens<A, B, C, D>): POptional<S, T, C, D>
Compose a PPrism with a PSetteropen infix fun <C, D> compose(other: PSetter<A, B, C, D>): PSetter<S, T, C, D>
Compose a PPrism with a Foldopen infix fun <C> compose(other: Fold<A, C>): Fold<S, C>
Compose a PPrism with a PTraversalopen infix fun <C, D> compose(other: PTraversal<A, B, C, D>): PTraversal<S, T, C, D>
exist Check if there is a focus and it satisfies the predicateopen fun exist(s: S, p: (A) -> Boolean): Boolean
find Find the focus that satisfies the predicateopen fun find(s: S, p: (A) -> Boolean): Option<A>
first Create a product of the PPrism and a type Copen fun <C> first(): PPrism<Tuple2<S, C>, Tuple2<T, C>, Tuple2<A, C>, Tuple2<B, C>>
getOption Get the focus or Option.None if focus cannot be seenopen fun getOption(s: S): Option<A>
getOrModify abstract fun getOrModify(s: S): Either<T, A>
isEmpty Check if no focus can be seen by the PPrismopen fun isEmpty(s: S): Boolean
left Create a sum of the PPrism and a type Copen fun <C> left(): PPrism<Either<S, C>, Either<T, C>, Either<A, C>, Either<B, C>>
lift Lift a function f: (A) -> B to the context of S: (S) -> T``open fun lift(f: (A) -> B): (S) -> T`
liftF Modify the focus of a PPrism with an Applicative functionopen fun <F> liftF(FA: Applicative<F>, f: (A) -> Kind<F, B>): (S) -> Kind<F, T>
liftOption Lift a function f: (A) -> B to the context of S: (S) -> Option``open fun liftOption(f: (A) -> B): (S) -> Option`
modify Modify the focus of a PPrism with a functionopen fun modify(s: S, f: (A) -> B): T
modifyF Modify the focus of a PPrism with an Applicative functionopen fun <F> modifyF(FA: Applicative<F>, s: S, f: (A) -> Kind<F, B>): Kind<F, T>
modifyOption Modify the focus of a PPrism with a functionopen fun modifyOption(s: S, f: (A) -> B): Option<T>
nonEmpty Check if a focus can be seen by the PPrismopen fun nonEmpty(s: S): Boolean
plus Plus operator overload to compose lensesopen operator fun <C, D> plus(other: PPrism<A, B, C, D>): PPrism<S, T, C, D>open operator fun <C, D> plus(other: POptional<A, B, C, D>): POptional<S, T, C, D>
open operator fun <C, D> plus(other: PLens<A, B, C, D>): POptional<S, T, C, D>
open operator fun <C, D> plus(other: PIso<A, B, C, D>): PPrism<S, T, C, D>
open operator fun <C, D> plus(other: PSetter<A, B, C, D>): PSetter<S, T, C, D>
open operator fun <C> plus(other: Fold<A, C>): Fold<S, C>
open operator fun <C, D> plus(other: PTraversal<A, B, C, D>): PTraversal<S, T, C, D>
reverseGet abstract fun reverseGet(b: B): T
right Create a sum of a type C and the PPrismopen fun <C> right(): PPrism<Either<C, S>, Either<C, T>, Either<C, A>, Either<C, B>>
second Create a product of a type C and the PPrismopen fun <C> second(): PPrism<Tuple2<C, S>, Tuple2<C, T>, Tuple2<C, A>, Tuple2<C, B>>
set Set the focus of a PPrism with a valueopen fun set(s: S, b: B): T
setOption Set the focus of a PPrism with a valueopen fun setOption(s: S, b: B): Option<T>

Companion Object Functions

id fun <S> id(): PPrism<S, S, S, S>
invoke Invoke operator overload to create a PPrism of type S with focus A. Can also be used to construct Prismoperator fun <S, T, A, B> invoke(getOrModify: (S) -> Either<T, A>, reverseGet: (B) -> T): PPrism<S, T, A, B>
none Prism to focus into an arrow.core.Nonefun <A> none(): Prism<Option<A>, Unit>
only A PPrism that checks for equality with a given value afun <A> only(a: A, EQA: Eq<A>): Prism<A, Unit>
pSome PPrism to focus into an arrow.core.Somefun <A, B> pSome(): PPrism<Option<A>, Option<B>, A, B>
some Prism to focus into an arrow.core.Somefun <A> some(): Prism<Option<A>, A>

Extension Properties

some DSL to compose a Prism with focus arrow.core.Some with a Prism with a focus of Option<S>val <T, S> Prism<T, Option<S>>.some: Prism<T, S>

Extension Functions

at DSL to compose At with a Prism for a structure S to focus in on A at given index I.fun <T, S, I, A> Prism<T, S>.at(AT: At<S, I, A>, i: I): Optional<T, A>
every DSL to compose Each with a Prism for a structure S to see all its foci Afun <T, S, A> Prism<T, S>.~~every~~(EA: Each<S, A>): Traversal<T, A>
DSL to compose Traversal with a Prism for a structure S to see all its foci Afun <T, S, A> Prism<T, S>.every(TR: Traversal<S, A>): Traversal<T, A>
index DSL to compose Index with a Prism for a structure S to focus in on A at given index Ifun <T, S, I, A> Prism<T, S>.index(ID: Index<S, I, A>, i: I): Optional<T, A>

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