From 47b97071fee9400718779fdfc5af6f930108413c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?R=C3=A9gis=20Blanc?= <regwblanc@gmail.com>
Date: Sat, 21 Feb 2015 01:01:23 +0100
Subject: [PATCH] list operations testcase is back
---
.../purescala/valid/ListOperations.scala | 105 ++++++++++++++++++
1 file changed, 105 insertions(+)
create mode 100644 src/test/resources/regression/verification/purescala/valid/ListOperations.scala
diff --git a/src/test/resources/regression/verification/purescala/valid/ListOperations.scala b/src/test/resources/regression/verification/purescala/valid/ListOperations.scala
new file mode 100644
index 000000000..2986a4342
--- /dev/null
+++ b/src/test/resources/regression/verification/purescala/valid/ListOperations.scala
@@ -0,0 +1,105 @@
+/* Copyright 2009-2014 EPFL, Lausanne */
+
+import scala.collection.immutable.Set
+import leon.annotation._
+import leon.lang._
+
+object ListOperations {
+ sealed abstract class List
+ case class Cons(head: Int, tail: List) extends List
+ case class Nil() extends List
+
+ sealed abstract class IntPairList
+ case class IPCons(head: IntPair, tail: IntPairList) extends IntPairList
+ case class IPNil() extends IntPairList
+
+ sealed abstract class IntPair
+ case class IP(fst: Int, snd: Int) extends IntPair
+
+ def size(l: List) : BigInt = (l match {
+ case Nil() => BigInt(0)
+ case Cons(_, t) => 1 + size(t)
+ }) ensuring(res => res >= 0)
+
+ def iplSize(l: IntPairList) : BigInt = (l match {
+ case IPNil() => BigInt(0)
+ case IPCons(_, xs) => 1 + iplSize(xs)
+ }) ensuring(_ >= 0)
+
+ def zip(l1: List, l2: List) : IntPairList = {
+ // try to comment this and see how pattern-matching becomes
+ // non-exhaustive and post-condition fails
+ require(size(l1) == size(l2))
+
+ l1 match {
+ case Nil() => IPNil()
+ case Cons(x, xs) => l2 match {
+ case Cons(y, ys) => IPCons(IP(x, y), zip(xs, ys))
+ }
+ }
+ } ensuring(iplSize(_) == size(l1))
+
+ def sizeTailRec(l: List) : BigInt = sizeTailRecAcc(l, 0)
+ def sizeTailRecAcc(l: List, acc: BigInt) : BigInt = {
+ require(acc >= 0)
+ l match {
+ case Nil() => acc
+ case Cons(_, xs) => sizeTailRecAcc(xs, acc+1)
+ }
+ } ensuring(res => res == size(l) + acc)
+
+ def sizesAreEquiv(l: List) : Boolean = {
+ size(l) == sizeTailRec(l)
+ }.holds
+
+ def content(l: List) : Set[Int] = l match {
+ case Nil() => Set.empty[Int]
+ case Cons(x, xs) => Set(x) ++ content(xs)
+ }
+
+ def sizeAndContent(l: List) : Boolean = {
+ size(l) == BigInt(0) || content(l) != Set.empty[Int]
+ }.holds
+
+ def drunk(l : List) : List = (l match {
+ case Nil() => Nil()
+ case Cons(x,l1) => Cons(x,Cons(x,drunk(l1)))
+ }) ensuring (size(_) == 2 * size(l))
+
+ def reverse(l: List) : List = reverse0(l, Nil()) ensuring(content(_) == content(l))
+ def reverse0(l1: List, l2: List) : List = (l1 match {
+ case Nil() => l2
+ case Cons(x, xs) => reverse0(xs, Cons(x, l2))
+ }) ensuring(content(_) == content(l1) ++ content(l2))
+
+ def append(l1 : List, l2 : List) : List = (l1 match {
+ case Nil() => l2
+ case Cons(x,xs) => Cons(x, append(xs, l2))
+ }) ensuring(content(_) == content(l1) ++ content(l2))
+
+ @induct
+ def nilAppend(l : List) : Boolean = (append(l, Nil()) == l).holds
+
+ @induct
+ def appendAssoc(xs : List, ys : List, zs : List) : Boolean =
+ (append(append(xs, ys), zs) == append(xs, append(ys, zs))).holds
+
+ @induct
+ def sizeAppend(l1 : List, l2 : List) : Boolean =
+ (size(append(l1, l2)) == size(l1) + size(l2)).holds
+
+ @induct
+ def concat(l1: List, l2: List) : List =
+ concat0(l1, l2, Nil()) ensuring(content(_) == content(l1) ++ content(l2))
+
+ @induct
+ def concat0(l1: List, l2: List, l3: List) : List = (l1 match {
+ case Nil() => l2 match {
+ case Nil() => reverse(l3)
+ case Cons(y, ys) => {
+ concat0(Nil(), ys, Cons(y, l3))
+ }
+ }
+ case Cons(x, xs) => concat0(xs, l2, Cons(x, l3))
+ }) ensuring(content(_) == content(l1) ++ content(l2) ++ content(l3))
+}
--
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