--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/fun/simple-cps.sc Tue May 30 13:27:54 2023 +0100
@@ -0,0 +1,63 @@
+// Source language: arithmetic expressions with function calls
+enum Expr {
+ case Num(n: Int)
+ case Aop(op: String, e1: Expr, e2: Expr)
+ case Call(fname: String, args: List[Expr])
+}
+import Expr._
+
+// Target language
+// "trivial" KValues
+enum KVal {
+ case KVar(s: String)
+ case KNum(n: Int)
+ case KAop(op: String, v1: KVal, v2: KVal)
+ case KCall(fname: String, args: List[KVal])
+}
+import KVal._
+
+// KExpressions
+enum KExp {
+ case KReturn(v: KVal)
+ case KLet(x: String, v: KVal, e: KExp)
+}
+import KExp._
+
+var cnt = -1
+def Fresh(s: String) = {
+ cnt = cnt + 1
+ s"${s}_${cnt}"
+}
+
+def CPS(e: Expr)(k: KVal => KExp): KExp = e match {
+ case Num(i) => k(KNum(i))
+ case Aop(op, l, r) => {
+ val z = Fresh("z")
+ CPS(l)(l =>
+ CPS(r)(r => KLet(z, KAop(op, l, r), k(KVar(z)))))
+ }
+ case Call(fname, args) => {
+ def aux(args: List[Expr], vs: List[KVal]) : KExp = args match {
+ case Nil => {
+ val z = Fresh("tmp")
+ KLet(z, KCall(fname, vs), k(KVar(z)))
+ }
+ case a::as => CPS(a)(r => aux(as, vs ::: List(r)))
+ }
+ aux(args, Nil)
+ }
+}
+
+def CPSi(e: Expr) : KExp = CPS(e)(KReturn(_))
+
+
+//1 + foo(bar(4 * -7), 3, id(12))
+val etest =
+ Aop("+", Num(1),
+ Call("foo",
+ List(Call("bar",
+ List(Aop("*", Num(4), Num(-7)))),
+ Num(3),
+ Call("id", List(Num(12))))))
+
+println(CPSi(etest))