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January 17, 2022 19:39
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Demonstrates free monad composition using Scala 3 union types and a Free monad that's covariant in its effect
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// using scala 3.1.1-RC2 | |
trait Monad[F[_]]: | |
def unit[A](a: => A): F[A] | |
extension [A](fa: F[A]) | |
def flatMap[B](f: A => F[B]): F[B] | |
def map[B](f: A => B): F[B] = | |
flatMap(a => unit(f(a))) | |
object Monad: | |
given function0Monad: Monad[Function0] with | |
def unit[A](a: => A) = () => a | |
extension [A](fa: () => A) | |
def flatMap[B](f: A => () => B) = () => f(fa())() | |
enum Free[+F[_], A]: | |
case Return(a: A) | |
case Suspend(s: F[A]) | |
case FlatMap[F[_], A, B]( | |
s: Free[F, A], | |
f: A => Free[F, B]) extends Free[F, B] | |
def flatMap[F2[x] >: F[x], B](f: A => Free[F2,B]): Free[F2,B] = | |
FlatMap(this, f) | |
@annotation.tailrec | |
final def step: Free[F, A] = this match | |
case FlatMap(FlatMap(fx, f), g) => | |
fx.flatMap[F, A](x => f(x).flatMap[F, A](g)).step | |
case FlatMap(Return(x), f) => f(x).step | |
case _ => this | |
def runFree[G[_]](t: [x] => F[x] => G[x])(using G: Monad[G]): G[A] = | |
step match | |
case Return(a) => G.unit(a) | |
case Suspend(r) => t(r) | |
case FlatMap(Suspend(r), f) => t(r).flatMap[A](a => (f(a): Free[F, A]).runFree[G](t)) | |
case FlatMap(_, _) => sys.error("Impossible, since `step` eliminates these cases") | |
enum Console[A]: | |
case ReadLine extends Console[Option[String]] | |
case PrintLine(s: String) extends Console[Unit] | |
def toThunk: () => A = this match | |
case ReadLine => () => ??? | |
case PrintLine(s) => () => println(s) | |
enum Files[A]: | |
case ReadText(file: String) extends Files[String] | |
def toThunk: () => A = this match | |
case ReadText(_) => () => "simulated text" | |
def cat(file: String): Free[[x] =>> Console[x] | Files[x], Unit] = | |
Free.Suspend(Files.ReadText(file)).flatMap(text => | |
Free.Suspend(Console.PrintLine(text))) | |
extension [A](fa: Free[[x] =>> Console[x] | Files[x], A]) | |
def toThunk: () => A = | |
fa.runFree[Function0]([x] => (fx: Console[x] | Files[x]) => fx match | |
case c: Console[x] => c.toThunk | |
case f: Files[x] => f.toThunk | |
) | |
@main def veryFreeMonads = | |
cat("fahrenheit.txt").toThunk() |
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