diff --git a/test/Transforms/LoopSimplify/single-backedge.ll b/test/Transforms/LoopSimplify/single-backedge.ll
new file mode 100644
index 00000000000..63fa33a9583
--- /dev/null
+++ b/test/Transforms/LoopSimplify/single-backedge.ll
@@ -0,0 +1,17 @@
+; The loop canonicalization pass should guarantee that there is one backedge 
+; for all loops.  This allows the -indvars pass to recognize the %IV 
+; induction variable in this testcase.
+
+; RUN: llvm-as < %s | opt -indvars | llvm-dis | grep indvar
+
+int %test(bool %C) {
+	br label %Loop
+Loop:
+	%IV = phi uint [0, %0], [%IV2, %BE1], [%IV2, %BE2]
+	%IV2 = add uint %IV, 2
+	br bool %C, label %BE1, label %BE2
+BE1:
+	br label %Loop
+BE2:
+	br label %Loop
+}