[LAA] Try to prove non-wrapping of pointers if SCEV cannot

Summary:
Scalar evolution does not propagate the non-wrapping flags to values
that are derived from a non-wrapping induction variable because
the non-wrapping property could be flow-sensitive.

This change is a first attempt to establish the non-wrapping property in
some simple cases.  The main idea is to look through the operations
defining the pointer.  As long as we arrive to a non-wrapping AddRec via
a small chain of non-wrapping instruction, the pointer should not wrap
either.

I believe that this essentially is what Andy described in
http://article.gmane.org/gmane.comp.compilers.llvm.cvs/220731 as the way
forward.

Reviewers: aschwaighofer, nadav, sanjoy, atrick

Reviewed By: atrick

Subscribers: llvm-commits

Differential Revision: http://reviews.llvm.org/D10472

llvm-svn: 240798
diff --git a/llvm/test/Analysis/LoopAccessAnalysis/non-wrapping-pointer.ll b/llvm/test/Analysis/LoopAccessAnalysis/non-wrapping-pointer.ll
new file mode 100644
index 0000000..0de1cd1
--- /dev/null
+++ b/llvm/test/Analysis/LoopAccessAnalysis/non-wrapping-pointer.ll
@@ -0,0 +1,41 @@
+; RUN: opt -basicaa -loop-accesses -analyze < %s | FileCheck %s
+
+; For this loop:
+;   for (int i = 0; i < n; i++)
+;    A[2 * i] = A[2 * i] + B[i];
+;
+; , SCEV is unable to prove that A[2 * i] does not overflow.  However,
+; analyzing the IR helps us to conclude it and in turn allow dependence
+; analysis.
+
+target datalayout = "e-m:o-i64:64-f80:128-n8:16:32:64-S128"
+
+; CHECK: Memory dependences are safe{{$}}
+
+define void @f(i16* noalias %a,
+               i16* noalias %b, i64 %N) {
+entry:
+  br label %for.body
+
+for.body:                                         ; preds = %for.body, %entry
+  %ind = phi i64 [ 0, %entry ], [ %inc, %for.body ]
+
+  %mul = mul nuw nsw i64 %ind, 2
+
+  %arrayidxA = getelementptr inbounds i16, i16* %a, i64 %mul
+  %loadA = load i16, i16* %arrayidxA, align 2
+
+  %arrayidxB = getelementptr inbounds i16, i16* %b, i64 %ind
+  %loadB = load i16, i16* %arrayidxB, align 2
+
+  %add = mul i16 %loadA, %loadB
+
+  store i16 %add, i16* %arrayidxA, align 2
+
+  %inc = add nuw nsw i64 %ind, 1
+  %exitcond = icmp eq i64 %inc, %N
+  br i1 %exitcond, label %for.end, label %for.body
+
+for.end:                                          ; preds = %for.body
+  ret void
+}