[ValueTracking] Recognize that and(x, add (x, -1)) clears the low bit

This is a cleaned up version of a patch by John Regehr with permission. Originally found via the souper tool.

If we add an odd number to x, then bitwise-and the result with x, we know that the low bit of the result must be zero. Either it was zero in x originally, or the add cleared it in the temporary value. As a result, one of the two values anded together must have the bit cleared.

Differential Revision: http://reviews.llvm.org/D14315

llvm-svn: 252629
diff --git a/llvm/test/Transforms/InstSimplify/add-mask.ll b/llvm/test/Transforms/InstSimplify/add-mask.ll
new file mode 100644
index 0000000..1e53cc5
--- /dev/null
+++ b/llvm/test/Transforms/InstSimplify/add-mask.ll
@@ -0,0 +1,65 @@
+; RUN: opt -S -instsimplify < %s | FileCheck %s
+
+define i1 @test(i32 %a) {
+; CHECK-LABEL: @test
+; CHECK: ret i1 false
+  %rhs = add i32 %a, -1
+  %and = and i32 %a, %rhs
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}
+
+define i1 @test2(i32 %a) {
+; CHECK-LABEL: @test2
+; CHECK: ret i1 false
+  %rhs = add i32 %a, 1
+  %and = and i32 %a, %rhs
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}
+
+define i1 @test3(i32 %a) {
+; CHECK-LABEL: @test3
+; CHECK: ret i1 false
+  %rhs = add i32 %a, 7
+  %and = and i32 %a, %rhs
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}
+
+@B = external global i32
+declare void @llvm.assume(i1)
+
+; Known bits without a constant
+define i1 @test4(i32 %a) {
+; CHECK-LABEL: @test4
+; CHECK: ret i1 false
+  %b = load i32, i32* @B
+  %b.and = and i32 %b, 1
+  %b.cnd = icmp eq i32 %b.and, 1
+  call void @llvm.assume(i1 %b.cnd)
+
+  %rhs = add i32 %a, %b
+  %and = and i32 %a, %rhs
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}
+
+; Negative test - even number
+define i1 @test5(i32 %a) {
+; CHECK-LABEL: @test5
+; CHECK: ret i1 %res
+  %rhs = add i32 %a, 2
+  %and = and i32 %a, %rhs
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}
+
+define i1 @test6(i32 %a) {
+; CHECK-LABEL: @test6
+; CHECK: ret i1 false
+  %lhs = add i32 %a, -1
+  %and = and i32 %lhs, %a
+  %res = icmp eq i32 %and, 1
+  ret i1 %res
+}