From 83f49b9bebb04a55a45722594e717d95468924ac Mon Sep 17 00:00:00 2001 From: Martin Odersky Date: Thu, 15 Jul 2004 16:20:37 +0000 Subject: *** empty log message *** --- sources/examples/monads/callccInterpreter.scala | 84 +++++++++++++++++++++++++ 1 file changed, 84 insertions(+) create mode 100644 sources/examples/monads/callccInterpreter.scala (limited to 'sources/examples/monads/callccInterpreter.scala') diff --git a/sources/examples/monads/callccInterpreter.scala b/sources/examples/monads/callccInterpreter.scala new file mode 100644 index 0000000000..934fce1a9e --- /dev/null +++ b/sources/examples/monads/callccInterpreter.scala @@ -0,0 +1,84 @@ +object callccInterpreter { + + type Answer = Value; + + case class M[A](in: (A => Answer) => Answer) { + def bind[B](k: A => M[B]) = M[B](c => in (a => k(a) in c)); + def map[B](f: A => B): M[B] = bind(x => unitM(f(x))); + def flatMap[B](f: A => M[B]): M[B] = bind(f); + } + + def unitM[A](a: A) = M[A](c => c(a)); + + def showM(m: M[Value]): String = (m in id).toString(); + + def callCC[A](h: (A => M[A]) => M[A]) = + M[A](c => h(a => M[A](d => c(a))) in c); + + type Name = String; + + trait Term; + case class Var(x: Name) extends Term; + case class Con(n: int) extends Term; + case class Add(l: Term, r: Term) extends Term; + case class Lam(x: Name, body: Term) extends Term; + case class App(fun: Term, arg: Term) extends Term; + case class Ccc(x: Name, t: Term) extends Term; + + trait Value; + case object Wrong extends Value { + override def toString() = "wrong" + } + case class Num(n: int) extends Value { + override def toString() = n.toString(); + } + case class Fun(f: Value => M[Value]) extends Value { + override def toString() = "" + } + + type Environment = List[Pair[Name, Value]]; + + def lookup(x: Name, e: Environment): M[Value] = e match { + case List() => unitM(Wrong) + case Pair(y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) + } + + def add(a: Value, b: Value): M[Value] = Pair(a, b) match { + case Pair(Num(m), Num(n)) => unitM(Num(m + n)) + case _ => unitM(Wrong) + } + + def apply(a: Value, b: Value): M[Value] = a match { + case Fun(k) => k(b) + case _ => unitM(Wrong) + } + + def interp(t: Term, e: Environment): M[Value] = t match { + case Var(x) => lookup(x, e) + case Con(n) => unitM(Num(n)) + case Add(l, r) => for (val a <- interp(l, e); + val b <- interp(r, e); + val c <- add(a, b)) + yield c + case Lam(x, t) => unitM(Fun(a => interp(t, Pair(x, a) :: e))) + case App(f, t) => for (val a <- interp(f, e); + val b <- interp(t, e); + val c <- apply(a, b)) + yield c + case Ccc(x, t) => callCC(k => interp(t, Pair(x, Fun(k)) :: e)) + } + + def test(t: Term): String = + showM(interp(t, List())); + + val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); + val term1 = App(Con(1), Con(2)); + val term2 = Add(Con(1), Ccc("k", Add(Con(2), App(Var("k"), Con(4))))); + + def main(args: Array[String]) = { + System.out.println(test(term0)); + System.out.println(test(term1)); + System.out.println(test(term2)); + } +} + -- cgit v1.2.3