diff options
Diffstat (limited to 'Test/dafny2/TreeFill.dfy')
-rw-r--r-- | Test/dafny2/TreeFill.dfy | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/Test/dafny2/TreeFill.dfy b/Test/dafny2/TreeFill.dfy new file mode 100644 index 00000000..f7e2cc89 --- /dev/null +++ b/Test/dafny2/TreeFill.dfy @@ -0,0 +1,27 @@ +datatype Tree<T> = Null | Node(Tree, T, Tree);
+
+function Contains<T>(t: Tree, v: T): bool
+{
+ match t
+ case Null => false
+ case Node(left, x, right) => x == v || Contains(left, v) || Contains(right, v)
+}
+
+method Fill<T>(t: Tree, a: array<T>, start: int) returns (end: int)
+ requires a != null && 0 <= start <= a.Length;
+ modifies a;
+ ensures start <= end <= a.Length;
+ ensures forall i :: 0 <= i < start ==> a[i] == old(a[i]);
+ ensures forall i :: start <= i < end ==> Contains(t, a[i]);
+{
+ match (t) {
+ case Null =>
+ end := start;
+ case Node(left, x, right) =>
+ end := Fill(left, a, start);
+ if (end < a.Length) {
+ a[end] := x;
+ end := Fill(right, a, end + 1);
+ }
+ }
+}
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