diff --git a/llvm/test/Transforms/IRCE/iv-plus-offset-range-check.ll b/llvm/test/Transforms/IRCE/iv-plus-offset-range-check.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/Transforms/IRCE/iv-plus-offset-range-check.ll
@@ -0,0 +1,161 @@
+; NOTE: Assertions have been autogenerated by utils/update_test_checks.py UTC_ARGS: --version 2
+; RUN: opt -verify-loop-info -passes=irce -S < %s 2>&1 | FileCheck %s
+
+; IV = 0; IV <s limit; IV += 1;
+;   Check(N - IV >= 2)
+; TODO: IRCE is allowed
+define i8 @test1(i8 %limit, i8 %n) {
+; CHECK-LABEL: define i8 @test1
+; CHECK-SAME: (i8 [[LIMIT:%.*]], i8 [[N:%.*]]) {
+; CHECK-NEXT:  entry:
+; CHECK-NEXT:    [[PRECHECK:%.*]] = icmp sgt i8 [[LIMIT]], 0
+; CHECK-NEXT:    br i1 [[PRECHECK]], label [[LOOP_PREHEADER:%.*]], label [[EXIT:%.*]]
+; CHECK:       loop.preheader:
+; CHECK-NEXT:    br label [[LOOP:%.*]]
+; CHECK:       loop:
+; CHECK-NEXT:    [[IDX:%.*]] = phi i8 [ [[IDX_NEXT:%.*]], [[INBOUNDS:%.*]] ], [ 0, [[LOOP_PREHEADER]] ]
+; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[N]], [[IDX]]
+; CHECK-NEXT:    [[CHECK:%.*]] = icmp sge i8 [[SUB]], 2
+; CHECK-NEXT:    br i1 [[CHECK]], label [[INBOUNDS]], label [[OUT_OF_BOUNDS:%.*]]
+; CHECK:       inbounds:
+; CHECK-NEXT:    [[IDX_NEXT]] = add nuw i8 [[IDX]], 1
+; CHECK-NEXT:    [[CMP:%.*]] = icmp slt i8 [[IDX_NEXT]], [[LIMIT]]
+; CHECK-NEXT:    br i1 [[CMP]], label [[LOOP]], label [[EXIT_LOOPEXIT:%.*]]
+; CHECK:       exit.loopexit:
+; CHECK-NEXT:    [[IDX_LCSSA1:%.*]] = phi i8 [ [[IDX]], [[INBOUNDS]] ]
+; CHECK-NEXT:    br label [[EXIT]]
+; CHECK:       exit:
+; CHECK-NEXT:    [[RES:%.*]] = phi i8 [ 0, [[ENTRY:%.*]] ], [ [[IDX_LCSSA1]], [[EXIT_LOOPEXIT]] ]
+; CHECK-NEXT:    ret i8 [[RES]]
+; CHECK:       out_of_bounds:
+; CHECK-NEXT:    [[IDX_LCSSA:%.*]] = phi i8 [ [[IDX]], [[LOOP]] ]
+; CHECK-NEXT:    ret i8 [[IDX_LCSSA]]
+;
+entry:
+  %precheck = icmp sgt i8 %limit, 0
+  br i1 %precheck, label %loop, label %exit
+
+loop:
+  %idx = phi i8 [ %idx.next, %inbounds ], [ 0, %entry ]
+  %sub = sub i8 %n, %idx
+  %check = icmp sge i8 %sub, 2
+  br i1 %check, label %inbounds, label %out_of_bounds
+
+inbounds:
+  %idx.next = add nuw i8 %idx, 1
+  %cmp = icmp slt i8 %idx.next, %limit
+  br i1 %cmp, label %loop, label %exit
+
+exit:
+  %res = phi i8 [ 0, %entry ], [ %idx, %inbounds ]
+  ret i8 %res
+
+out_of_bounds:
+  ret i8 %idx;
+}
+
+; IV = 0; IV <s limit; IV += 1;
+;   Check(IV - N <= -2)
+; TODO: IRCE is allowed
+define i8 @test2(i8 %limit, i8 %n) {
+; CHECK-LABEL: define i8 @test2
+; CHECK-SAME: (i8 [[LIMIT:%.*]], i8 [[N:%.*]]) {
+; CHECK-NEXT:  entry:
+; CHECK-NEXT:    [[PRECHECK:%.*]] = icmp sgt i8 [[LIMIT]], 0
+; CHECK-NEXT:    br i1 [[PRECHECK]], label [[LOOP_PREHEADER:%.*]], label [[EXIT:%.*]]
+; CHECK:       loop.preheader:
+; CHECK-NEXT:    br label [[LOOP:%.*]]
+; CHECK:       loop:
+; CHECK-NEXT:    [[IDX:%.*]] = phi i8 [ [[IDX_NEXT:%.*]], [[INBOUNDS:%.*]] ], [ 0, [[LOOP_PREHEADER]] ]
+; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[IDX]], [[N]]
+; CHECK-NEXT:    [[CHECK:%.*]] = icmp sle i8 [[SUB]], -2
+; CHECK-NEXT:    br i1 [[CHECK]], label [[INBOUNDS]], label [[OUT_OF_BOUNDS:%.*]]
+; CHECK:       inbounds:
+; CHECK-NEXT:    [[IDX_NEXT]] = add nuw i8 [[IDX]], 1
+; CHECK-NEXT:    [[CMP:%.*]] = icmp slt i8 [[IDX_NEXT]], [[LIMIT]]
+; CHECK-NEXT:    br i1 [[CMP]], label [[LOOP]], label [[EXIT_LOOPEXIT:%.*]]
+; CHECK:       exit.loopexit:
+; CHECK-NEXT:    [[IDX_LCSSA1:%.*]] = phi i8 [ [[IDX]], [[INBOUNDS]] ]
+; CHECK-NEXT:    br label [[EXIT]]
+; CHECK:       exit:
+; CHECK-NEXT:    [[RES:%.*]] = phi i8 [ 0, [[ENTRY:%.*]] ], [ [[IDX_LCSSA1]], [[EXIT_LOOPEXIT]] ]
+; CHECK-NEXT:    ret i8 [[RES]]
+; CHECK:       out_of_bounds:
+; CHECK-NEXT:    [[IDX_LCSSA:%.*]] = phi i8 [ [[IDX]], [[LOOP]] ]
+; CHECK-NEXT:    ret i8 [[IDX_LCSSA]]
+;
+entry:
+  %precheck = icmp sgt i8 %limit, 0
+  br i1 %precheck, label %loop, label %exit
+
+loop:
+  %idx = phi i8 [ %idx.next, %inbounds ], [ 0, %entry ]
+  %sub = sub i8 %idx, %n
+  %check = icmp sle i8 %sub, -2
+  br i1 %check, label %inbounds, label %out_of_bounds
+
+inbounds:
+  %idx.next = add nuw i8 %idx, 1
+  %cmp = icmp slt i8 %idx.next, %limit
+  br i1 %cmp, label %loop, label %exit
+
+exit:
+  %res = phi i8 [ 0, %entry ], [ %idx, %inbounds ]
+  ret i8 %res
+
+out_of_bounds:
+  ret i8 %idx;
+}
+
+; IV = 0; IV <s limit; IV += 1;
+;   Check(IV + 2 <= N)
+; TODO: IRCE is allowed
+define i8 @test3(i8 %limit, i8 %n) {
+; CHECK-LABEL: define i8 @test3
+; CHECK-SAME: (i8 [[LIMIT:%.*]], i8 [[N:%.*]]) {
+; CHECK-NEXT:  entry:
+; CHECK-NEXT:    [[PRECHECK:%.*]] = icmp sgt i8 [[LIMIT]], 0
+; CHECK-NEXT:    br i1 [[PRECHECK]], label [[LOOP_PREHEADER:%.*]], label [[EXIT:%.*]]
+; CHECK:       loop.preheader:
+; CHECK-NEXT:    br label [[LOOP:%.*]]
+; CHECK:       loop:
+; CHECK-NEXT:    [[IDX:%.*]] = phi i8 [ [[IDX_NEXT:%.*]], [[INBOUNDS:%.*]] ], [ 0, [[LOOP_PREHEADER]] ]
+; CHECK-NEXT:    [[ADD:%.*]] = add i8 [[IDX]], 2
+; CHECK-NEXT:    [[CHECK:%.*]] = icmp sle i8 [[ADD]], [[N]]
+; CHECK-NEXT:    br i1 [[CHECK]], label [[INBOUNDS]], label [[OUT_OF_BOUNDS:%.*]]
+; CHECK:       inbounds:
+; CHECK-NEXT:    [[IDX_NEXT]] = add nuw i8 [[IDX]], 1
+; CHECK-NEXT:    [[CMP:%.*]] = icmp slt i8 [[IDX_NEXT]], [[LIMIT]]
+; CHECK-NEXT:    br i1 [[CMP]], label [[LOOP]], label [[EXIT_LOOPEXIT:%.*]]
+; CHECK:       exit.loopexit:
+; CHECK-NEXT:    [[IDX_LCSSA1:%.*]] = phi i8 [ [[IDX]], [[INBOUNDS]] ]
+; CHECK-NEXT:    br label [[EXIT]]
+; CHECK:       exit:
+; CHECK-NEXT:    [[RES:%.*]] = phi i8 [ 0, [[ENTRY:%.*]] ], [ [[IDX_LCSSA1]], [[EXIT_LOOPEXIT]] ]
+; CHECK-NEXT:    ret i8 [[RES]]
+; CHECK:       out_of_bounds:
+; CHECK-NEXT:    [[IDX_LCSSA:%.*]] = phi i8 [ [[IDX]], [[LOOP]] ]
+; CHECK-NEXT:    ret i8 [[IDX_LCSSA]]
+;
+entry:
+  %precheck = icmp sgt i8 %limit, 0
+  br i1 %precheck, label %loop, label %exit
+
+loop:
+  %idx = phi i8 [ %idx.next, %inbounds ], [ 0, %entry ]
+  %add = add i8 %idx, 2
+  %check = icmp sle i8 %add, %n
+  br i1 %check, label %inbounds, label %out_of_bounds
+
+inbounds:
+  %idx.next = add nuw i8 %idx, 1
+  %cmp = icmp slt i8 %idx.next, %limit
+  br i1 %cmp, label %loop, label %exit
+
+exit:
+  %res = phi i8 [ 0, %entry ], [ %idx, %inbounds ]
+  ret i8 %res
+
+out_of_bounds:
+  ret i8 %idx;
+}