diff --git a/src/test/run-pass/const-enum-byref-self.rs b/src/test/run-pass/const-enum-byref-self.rs
new file mode 100644
index 00000000000..cd939bc14d4
--- /dev/null
+++ b/src/test/run-pass/const-enum-byref-self.rs
@@ -0,0 +1,25 @@
+// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution and at
+// http://rust-lang.org/COPYRIGHT.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+enum E { V, VV(int) }
+const C: E = V;
+
+impl E {
+    fn method(&self) {
+        match *self {
+            V => {}
+            VV(*) => fail
+        }
+    }
+}
+
+fn main() {
+    C.method()
+}
diff --git a/src/test/run-pass/const-enum-byref.rs b/src/test/run-pass/const-enum-byref.rs
new file mode 100644
index 00000000000..8ee9e79670b
--- /dev/null
+++ b/src/test/run-pass/const-enum-byref.rs
@@ -0,0 +1,23 @@
+// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
+// file at the top-level directory of this distribution and at
+// http://rust-lang.org/COPYRIGHT.
+//
+// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
+// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
+// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
+// option. This file may not be copied, modified, or distributed
+// except according to those terms.
+
+enum E { V, VV(int) }
+const C: E = V;
+
+fn f(a: &E) {
+    match *a {
+        V => {}
+        VV(*) => fail
+    }
+}
+
+fn main() {
+    f(&C)
+}