BijectionIso

dev.constructive.eo.optics.BijectionIso
final class BijectionIso[S, T, A, B](read: S => A, build: B => T) extends Optic[S, T, A, B, Direct], CanGet[S, A], CanReverseGet[T, B], CanModifyP[S, T, A, B], CanFold[S, A]

Concrete Optic subclass for an isomorphism. Stores get / reverseGet directly so the hot path skips the Accessor[Direct] / ReverseAccessor[Direct] typeclass dispatches the generic extensions would perform — same storage shape as Monocle's Iso. Returned by Iso.apply so hand-written isos pick up the fused path automatically.

Attributes

Source
Iso.scala
Graph
Supertypes
trait CanFold[S, A]
trait CanModifyP[S, T, A, B]
trait CanReverseGet[T, B]
trait CanGet[S, A]
trait Optic[S, T, A, B, Direct]
class Object
trait Matchable
class Any
Show all

Members list

Grouped members

Operations

inline def cross[C, D](o: Optic[T, S, C, D, Direct])(using Accessor[Direct], ReverseAccessor[Direct]): Optic[B, A, C, D, Direct]

Build-then-observe across the build-output ⇄ read-input seam, preserving structure, on a shared carrier F. Flip self (it must be reversible — Accessor[F] and ReverseAccessor[F], i.e. an Iso or Review over Direct) so it reads T from B, then andThen that under the same carrier. The result is the full Optic[B, A, C, D, F], not a collapsed getter: its read capability follows the carrier (.get for Direct), and self's read focus A survives as the composite's write-back focus.

Build-then-observe across the build-output ⇄ read-input seam, preserving structure, on a shared carrier F. Flip self (it must be reversible — Accessor[F] and ReverseAccessor[F], i.e. an Iso or Review over Direct) so it reads T from B, then andThen that under the same carrier. The result is the full Optic[B, A, C, D, F], not a collapsed getter: its read capability follows the carrier (.get for Direct), and self's read focus A survives as the composite's write-back focus.

This is exactly self.reverse.andThen(that). The motivating case is ana.cross(cata): a Review (the unfold) crossed with a getter on the built S (the fold) — a (materializing) hylomorphism whose .get reads the folded value. When that sits on a different carrier (a Prism, a Fold, …), the cross-carrier cross overload below is selected instead.

Seam: that's source is self's T and its back-type is self's S.

Attributes

Inherited from:
Optic
Source
Optic.scala

Type members

Types

type X = Nothing

Existential leftover carried alongside the focus — the type-level witness the carrier uses to rebuild T. Concrete at construction (Lens.apply sets X = S, Prism.apply sets X = S, …) and abstract when the optic is bound to Optic[…, F] without refinement.

Existential leftover carried alongside the focus — the type-level witness the carrier uses to rebuild T. Concrete at construction (Lens.apply sets X = S, Prism.apply sets X = S, …) and abstract when the optic is bound to Optic[…, F] without refinement.

Attributes

Source
Iso.scala

Value members

Concrete methods

inline def andThen[C, D](inner: BijectionIso[A, B, C, D]): BijectionIso[S, T, C, D]

Fused Iso.andThen(Iso) — composes gets and reverseGets directly. inline so each compose site splices distinct lambdas, keeping a deep iso.andThen(iso)… chain under C2's recursive-inline cap (see Getter.andThen / GetReplaceLens.andThen).

Fused Iso.andThen(Iso) — composes gets and reverseGets directly. inline so each compose site splices distinct lambdas, keeping a deep iso.andThen(iso)… chain under C2's recursive-inline cap (see Getter.andThen / GetReplaceLens.andThen).

Attributes

Source
Iso.scala
def andThen[C, D](inner: GetReplaceLens[A, B, C, D]): GetReplaceLens[S, T, C, D]

Fused Iso.andThen(Lens) — threads the iso around the inner lens.

Fused Iso.andThen(Lens) — threads the iso around the inner lens.

Attributes

Source
Iso.scala
def andThen[C, D](inner: MendTearPrism[A, B, C, D]): MendTearPrism[S, T, C, D]

Fused Iso.andThen(Prism) — on inner miss, outer.reverseGet lifts the leftover.

Fused Iso.andThen(Prism) — on inner miss, outer.reverseGet lifts the leftover.

Attributes

Source
Iso.scala
def andThen[C, D](inner: Optional[A, B, C, D]): Optional[S, T, C, D]

Fused Iso.andThen(Optional) — iso is transparent; result is Optional.

Fused Iso.andThen(Optional) — iso is transparent; result is Optional.

Attributes

Source
Iso.scala
def foldMap[M](f: A => M)(s: S)(using Monoid[M]): M

Attributes

Source
Iso.scala
def from(d: Direct[X, B]): T

Close the carrier: given a modified focus B (and the leftover X already inside the F), reassemble the result T.

Close the carrier: given a modified focus B (and the leftover X already inside the F), reassemble the result T.

Attributes

Source
Iso.scala
def get(s: S): A

Attributes

Source
Iso.scala
inline def modify(f: A => B): S => T

Attributes

Source
Iso.scala
inline override def replace(b: B): S => T

Attributes

Definition Classes
Source
Iso.scala
def reverseGet(b: B): T

Attributes

Source
Iso.scala
def to(s: S): Direct[X, A]

Push the source S into the carrier, extracting the focus A and packing the leftover X. Paired with from to reconstruct T.

Push the source S into the carrier, extracting the focus A and packing the leftover X. Paired with from to reconstruct T.

Attributes

Source
Iso.scala

Inherited methods

def andThen[C, IB, G[_, _]](inner: Optic[A, Unit, C, IB, G])(using rc: ReadCompose[Direct, G]): rc.Out[S, C]

ANY outer ∘ read-only inner — the inner is honestly one-way (T = Unit: a Getter, AffineFold, or Fold), so only the two READ sides matter and the composite collapses to the read-only join of their strengths via compose.ReadCompose (Getter / PickFold / ForgetFold).

ANY outer ∘ read-only inner — the inner is honestly one-way (T = Unit: a Getter, AffineFold, or Fold), so only the two READ sides matter and the composite collapses to the read-only join of their strengths via compose.ReadCompose (Getter / PickFold / ForgetFold).

A trait member (not an extension in the companion) deliberately: once a receiver is statically one of the fused concrete classes, its andThen member overloads enter resolution and Scala 3 never falls back to extension methods when they all fail — the collapse must be in the member overload set to be reachable without an expected-type ascription.

Only the inner's T is pinned to Unit; its B stays free (IB) even though read-only inners always have B = Unit. That keeps this overload strictly LESS specific than the same-carrier andThen above (which accepts every argument this one does whenever B = Unit at the receiver), so a same-carrier read-only ∘ read-only call resolves unambiguously to the AssociativeFunctor path and this one fires exactly on the cross-seam cells the generic member cannot type.

Attributes

Inherited from:
Optic
Source
Optic.scala
inline def andThen[C, D](o: Optic[A, B, C, D, Direct]): Optic[S, T, C, D, Direct]

Compose with another optic under the shared carrier F. Requires AssociativeFunctor[F]. Cross-carrier composition (Lens → Optional, Lens → Traversal, …) goes through the Morph-summoning overload of this same method.

Compose with another optic under the shared carrier F. Requires AssociativeFunctor[F]. Cross-carrier composition (Lens → Optional, Lens → Traversal, …) goes through the Morph-summoning overload of this same method.

Attributes

Example
case class Address(street: String)
case class Person(address: Address)
val streetLens = lens[Person](_.address).andThen(lens[Address](_.street))
Inherited from:
Optic
Source
Optic.scala
def exists(p: A => Boolean)(s: S): Boolean

Attributes

Inherited from:
CanFold
Source
CanFold.scala
def foci(s: S): List[A]

Attributes

Inherited from:
CanFold
Source
CanFold.scala
def headOption(s: S): Option[A]

Attributes

Inherited from:
CanFold
Source
CanFold.scala
def length(s: S): Int

Attributes

Inherited from:
CanFold
Source
CanFold.scala