Metamorphism at the universal indices (ReadScheme) — the fold→unfold dual of Chrono, reading S => T. Fold the F-recursive S course-of-value to a neck A (the cofree history, Attr), then multi-layer-unfold A into a G-recursive T (the free coalgebra, Coattr). Built by Histo.meta or MetaChrono.apply.
The universal-index twin of Meta: same X = A neck, same no-fusion (F ≠ G). The cofree comonad on the fold side and the free monad on the unfold side never cancel across the neck — chrono is exactly this combination with F = G, where they do.
Type parameters
- A
-
the neck — the retained intermediate value type (the optic's existential
X)
Attributes
- Companion
- object
- Source
- MetaChrono.scala
- Graph
-
- Supertypes
Members list
Grouped members
Operations
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
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
- MetaChrono.scala
Value members
Inherited methods
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
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
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
- Inherited from:
- ReadScheme
- Source
- SchemeShapes.scala
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
- Inherited from:
- ReadScheme
- Source
- SchemeShapes.scala