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semantic/prototype/Doubt/Cofree.swift
2015-10-14 10:19:38 -04:00

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// Copyright © 2015 GitHub. All rights reserved.
/// The cofree comonad over `Syntax`.
///
/// This is free in the sense of unconstrained rather than zero-cost; its the comonad obtained by taking a functor (in this case `Syntax`) and adding the minimum necessary details (the `B` paired with it) to satisfy the comonad laws.
///
/// This type is dual to `Free`. Where `Free` is inhabited by syntax trees where some terms are replaced with `B`s, `Cofree` is inhabited by syntax trees where all terms are annotated with `B`s. In Doubt, this allows us to e.g. annotate terms with source range information, categorization, etc.
public enum Cofree<A, B> {
indirect case Unroll(B, Syntax<Cofree, A>)
public var unwrap: Syntax<Cofree, A> {
switch self {
case let .Unroll(_, rest):
return rest
}
}
}
// MARK: - Functor
extension Cofree {
public func map<Other>(transform: B -> Other) -> Cofree<A, Other> {
return .Unroll(transform(extract), unwrap.map { $0.map(transform) })
}
}
// MARK: - Comonad
extension Cofree {
/// Returns the value annotating the syntax tree at this node.
public var extract: B {
switch self {
case let .Unroll(b, _):
return b
}
}
public func extend<Other>(transform: Cofree -> Other) -> Cofree<A, Other> {
return .Unroll(transform(self), unwrap.map { $0.extend(transform) })
}
public var duplicate: Cofree<A, Cofree<A, B>> {
return .Unroll(self, unwrap.map { $0.duplicate })
}
}