1 files changed, 105 insertions, 0 deletions
diff --git a/Source/Jennisys/examples/oopsla12/Math_synth.dfy b/Source/Jennisys/examples/oopsla12/Math_synth.dfy
new file mode 100644
index 00000000..68893b3d
--- /dev/null
+++ b/Source/Jennisys/examples/oopsla12/Math_synth.dfy
@@ -0,0 +1,105 @@
+class Math {
+  ghost var Repr: set<object>;
+
+
+  function Valid_repr(): bool
+    reads *;
+  {
+    this in Repr &&
+    null !in Repr
+  }
+
+  function Valid_self(): bool
+    reads *;
+  {
+    Valid_repr() &&
+    true
+  }
+
+  function Valid(): bool
+    reads *;
+  {
+    this.Valid_self() &&
+    true
+  }
+
+
+  method Abs(a: int) returns (ret: int)
+    requires Valid();
+    ensures fresh(Repr - old(Repr));
+    ensures Valid();
+    ensures ret in {a, -a};
+    ensures ret >= 0;
+  {
+    if (a >= 0) {
+      ret := a;
+    } else {
+      ret := -a;
+    }
+  }
+
+
+  method Min2(a: int, b: int) returns (ret: int)
+    requires Valid();
+    ensures fresh(Repr - old(Repr));
+    ensures Valid();
+    ensures a < b ==> ret == a;
+    ensures a >= b ==> ret == b;
+  {
+    if (a < b) {
+      ret := a;
+    } else {
+      ret := b;
+    }
+  }
+
+
+  method Min3Sum(a: int, b: int, c: int) returns (ret: int)
+    requires Valid();
+    ensures fresh(Repr - old(Repr));
+    ensures Valid();
+    ensures ret in {a + b, a + c, b + c};
+    ensures ret <= a + b;
+    ensures ret <= a + c;
+    ensures ret <= b + c;
+  {
+    if (a + b <= a + c && a + b <= b + c) {
+      ret := a + b;
+    } else {
+      if (b + c <= a + c) {
+        ret := b + c;
+      } else {
+        ret := a + c;
+      }
+    }
+  }
+
+
+  method Min4(a: int, b: int, c: int, d: int) returns (ret: int)
+    requires Valid();
+    ensures fresh(Repr - old(Repr));
+    ensures Valid();
+    ensures ret in {a, b, c, d};
+    ensures ret <= a;
+    ensures ret <= b;
+    ensures ret <= c;
+    ensures ret <= d;
+  {
+    if ((a <= b && a <= c) && a <= d) {
+      ret := a;
+    } else {
+      if (d <= b && d <= c) {
+        ret := d;
+      } else {
+        if (c <= b) {
+          ret := c;
+        } else {
+          ret := b;
+        }
+      }
+    }
+  }
+
+}
+
+