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authorGilles Dubochet <gilles.dubochet@epfl.ch>2005-12-16 18:44:33 +0000
committerGilles Dubochet <gilles.dubochet@epfl.ch>2005-12-16 18:44:33 +0000
commit53a3cc7b17f4cf97075b7e71720777fd84109696 (patch)
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Created proper 'docs' folder for new layout.
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diff --git a/docs/examples/monads/directInterpreter.scala b/docs/examples/monads/directInterpreter.scala
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+object directInterpreter {
+
+ 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;
+
+ trait Value;
+ case object Wrong extends Value;
+ case class Num(n: int) extends Value;
+ case class Fun(f: Value => Value)extends Value;
+
+ def showval(v: Value): String = v match {
+ case Wrong => "<wrong>"
+ case Num(n) => n.toString()
+ case Fun(f) => "<function>"
+ }
+
+ type Environment = List[Pair[Name, Value]];
+
+ def lookup(x: Name, e: Environment): Value = e match {
+ case List() => Wrong
+ case Pair(y, b) :: e1 => if (x == y) b else lookup(x, e1)
+ }
+
+ def add(a: Value, b: Value): Value = Pair(a, b) match {
+ case Pair(Num(m), Num(n)) => Num(m + n)
+ case _ => Wrong
+ }
+
+ def apply(a: Value, b: Value) = a match {
+ case Fun(k) => k(b)
+ case _ => Wrong
+ }
+
+ def interp(t: Term, e: Environment): Value = t match {
+ case Var(x) => lookup(x, e)
+ case Con(n) => Num(n)
+ case Add(l, r) => add(interp(l, e), interp(r, e))
+ case Lam(x, t) => Fun(a => interp(t, Pair(x, a) :: e))
+ case App(f, t) => apply(interp(f, e), interp(t, e))
+ }
+
+ def test(t: Term): String =
+ showval(interp(t, List()));
+
+ val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11)));
+
+ def main(args: Array[String]) =
+ System.out.println(test(term0));
+}