Teach ScalarEvolution how to reason about no-wrap flags on loops
where the induction variable has a non-unit stride, such as {0,+,2}, and
there are expressions such as {1,+,2} inside the loop formed with
or or add nsw operators.


git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@82151 91177308-0d34-0410-b5e6-96231b3b80d8
diff --git a/test/Analysis/ScalarEvolution/nsw-offset.ll b/test/Analysis/ScalarEvolution/nsw-offset.ll
new file mode 100644
index 0000000..1e165bf6
--- /dev/null
+++ b/test/Analysis/ScalarEvolution/nsw-offset.ll
@@ -0,0 +1,76 @@
+; RUN: opt < %s -S -analyze -scalar-evolution -disable-output | FileCheck %s
+
+; ScalarEvolution should be able to fold away the sign-extensions
+; on this loop with a primary induction variable incremented with
+; a nsw add of 2.
+
+target datalayout = "e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128"
+
+define void @foo(i32 %n, double* nocapture %d, double* nocapture %q) nounwind {
+entry:
+  %0 = icmp sgt i32 %n, 0                         ; <i1> [#uses=1]
+  br i1 %0, label %bb.nph, label %return
+
+bb.nph:                                           ; preds = %entry
+  br label %bb
+
+bb:                                               ; preds = %bb.nph, %bb1
+  %i.01 = phi i32 [ %16, %bb1 ], [ 0, %bb.nph ]   ; <i32> [#uses=5]
+
+; CHECK: %1 = sext i32 %i.01 to i64
+; CHECK: -->  {0,+,2}<bb>
+  %1 = sext i32 %i.01 to i64                      ; <i64> [#uses=1]
+
+; CHECK: %2 = getelementptr inbounds double* %d, i64 %1
+; CHECK: -->  {%d,+,16}<bb>
+  %2 = getelementptr inbounds double* %d, i64 %1  ; <double*> [#uses=1]
+
+  %3 = load double* %2, align 8                   ; <double> [#uses=1]
+  %4 = sext i32 %i.01 to i64                      ; <i64> [#uses=1]
+  %5 = getelementptr inbounds double* %q, i64 %4  ; <double*> [#uses=1]
+  %6 = load double* %5, align 8                   ; <double> [#uses=1]
+  %7 = or i32 %i.01, 1                            ; <i32> [#uses=1]
+
+; CHECK: %8 = sext i32 %7 to i64
+; CHECK: -->  {1,+,2}<bb>
+  %8 = sext i32 %7 to i64                         ; <i64> [#uses=1]
+
+; CHECK: %9 = getelementptr inbounds double* %q, i64 %8
+; CHECK: {(8 + %q),+,16}<bb>
+  %9 = getelementptr inbounds double* %q, i64 %8  ; <double*> [#uses=1]
+
+; Artificially repeat the above three instructions, this time using
+; add nsw instead of or.
+  %t7 = add nsw i32 %i.01, 1                            ; <i32> [#uses=1]
+
+; CHECK: %t8 = sext i32 %t7 to i64
+; CHECK: -->  {1,+,2}<bb>
+  %t8 = sext i32 %t7 to i64                         ; <i64> [#uses=1]
+
+; CHECK: %t9 = getelementptr inbounds double* %q, i64 %t8
+; CHECK: {(8 + %q),+,16}<bb>
+  %t9 = getelementptr inbounds double* %q, i64 %t8  ; <double*> [#uses=1]
+
+  %10 = load double* %9, align 8                  ; <double> [#uses=1]
+  %11 = fadd double %6, %10                       ; <double> [#uses=1]
+  %12 = fadd double %11, 3.200000e+00             ; <double> [#uses=1]
+  %13 = fmul double %3, %12                       ; <double> [#uses=1]
+  %14 = sext i32 %i.01 to i64                     ; <i64> [#uses=1]
+  %15 = getelementptr inbounds double* %d, i64 %14 ; <double*> [#uses=1]
+  store double %13, double* %15, align 8
+  %16 = add nsw i32 %i.01, 2                      ; <i32> [#uses=2]
+  br label %bb1
+
+bb1:                                              ; preds = %bb
+  %17 = icmp slt i32 %16, %n                      ; <i1> [#uses=1]
+  br i1 %17, label %bb, label %bb1.return_crit_edge
+
+bb1.return_crit_edge:                             ; preds = %bb1
+  br label %return
+
+return:                                           ; preds = %bb1.return_crit_edge, %entry
+  ret void
+}
+
+; CHECK: Loop bb: backedge-taken count is ((-1 + %n) /u 2)
+; CHECK: Loop bb: max backedge-taken count is 1073741823