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      1 ; RUN: opt < %s -analyze -scalar-evolution | FileCheck %s
      2 
      3 target datalayout = "e-m:e-i64:64-f80:128-n8:16:32:64-S128"
      4 
      5 @A = weak global [1000 x i32] zeroinitializer, align 32
      6 
      7 ; The resulting predicate is i16 {0,+,1} <nssw>, meanining
      8 ; that the resulting backedge expression will be valid for:
      9 ;   (1 + (-1 smax %M)) <= MAX_INT16
     10 ;
     11 ; At the limit condition for M (MAX_INT16 - 1) we have in the
     12 ; last iteration:
     13 ;    i0 <- MAX_INT16
     14 ;    i0.ext <- MAX_INT16
     15 ;
     16 ; and therefore no wrapping happend for i0 or i0.ext
     17 ; throughout the execution of the loop. The resulting predicated
     18 ; backedge taken count is correct.
     19 
     20 ; CHECK: Classifying expressions for: @test1
     21 ; CHECK: %i.0.ext = sext i16 %i.0 to i32
     22 ; CHECK-NEXT:  -->  (sext i16 {0,+,1}<%bb3> to i32)
     23 ; CHECK:      Loop %bb3: Unpredictable backedge-taken count.
     24 ; CHECK-NEXT: Loop %bb3: Unpredictable max backedge-taken count.
     25 ; CHECK-NEXT: Loop %bb3: Predicated backedge-taken count is (1 + (-1 smax %M))
     26 ; CHECK-NEXT: Predicates:
     27 ; CHECK-NEXT:    {0,+,1}<%bb3> Added Flags: <nssw>
     28 define void @test1(i32 %N, i32 %M) {
     29 entry:
     30         br label %bb3
     31 
     32 bb:             ; preds = %bb3
     33         %tmp = getelementptr [1000 x i32], [1000 x i32]* @A, i32 0, i16 %i.0          ; <i32*> [#uses=1]
     34         store i32 123, i32* %tmp
     35         %tmp2 = add i16 %i.0, 1         ; <i32> [#uses=1]
     36         br label %bb3
     37 
     38 bb3:            ; preds = %bb, %entry
     39         %i.0 = phi i16 [ 0, %entry ], [ %tmp2, %bb ]            ; <i32> [#uses=3]
     40         %i.0.ext = sext i16 %i.0 to i32
     41         %tmp3 = icmp sle i32 %i.0.ext, %M          ; <i1> [#uses=1]
     42         br i1 %tmp3, label %bb, label %bb5
     43 
     44 bb5:            ; preds = %bb3
     45         br label %return
     46 
     47 return:         ; preds = %bb5
     48         ret void
     49 }
     50 
     51 ; The predicated backedge taken count is:
     52 ;    (2 + (zext i16 %Start to i32) + ((-2 + (-1 * (sext i16 %Start to i32)))
     53 ;                                     smax (-1 + (-1 * %M)))
     54 ;    )
     55 
     56 ; -1 + (-1 * %M) <= (-2 + (-1 * (sext i16 %Start to i32))
     57 ; The predicated backedge taken count is 0.
     58 ; From the IR, this is correct since we will bail out at the
     59 ; first iteration.
     60 
     61 
     62 ; * -1 + (-1 * %M) > (-2 + (-1 * (sext i16 %Start to i32))
     63 ; or: %M < 1 + (sext i16 %Start to i32)
     64 ;
     65 ; The predicated backedge taken count is 1 + (zext i16 %Start to i32) - %M
     66 ;
     67 ; If %M >= MIN_INT + 1, this predicated backedge taken count would be correct (even
     68 ; without predicates). However, for %M < MIN_INT this would be an infinite loop.
     69 ; In these cases, the {%Start,+,-1} <nusw> predicate would be false, as the
     70 ; final value of the expression {%Start,+,-1} expression (%M - 1) would not be
     71 ; representable as an i16.
     72 
     73 ; There is also a limit case here where the value of %M is MIN_INT. In this case
     74 ; we still have an infinite loop, since icmp sge %x, MIN_INT will always return
     75 ; true.
     76 
     77 ; CHECK: Classifying expressions for: @test2
     78 
     79 ; CHECK:      %i.0.ext = sext i16 %i.0 to i32
     80 ; CHECK-NEXT:    -->  (sext i16 {%Start,+,-1}<%bb3> to i32)
     81 ; CHECK:       Loop %bb3: Unpredictable backedge-taken count.
     82 ; CHECK-NEXT:  Loop %bb3: Unpredictable max backedge-taken count.
     83 ; CHECK-NEXT:  Loop %bb3: Predicated backedge-taken count is (2 + (sext i16 %Start to i32) + ((-2 + (-1 * (sext i16 %Start to i32))<nsw>) smax (-1 + (-1 * %M))))
     84 ; CHECK-NEXT:  Predicates:
     85 ; CHECK-NEXT:    {%Start,+,-1}<%bb3> Added Flags: <nssw>
     86 
     87 define void @test2(i32 %N, i32 %M, i16 %Start) {
     88 entry:
     89         br label %bb3
     90 
     91 bb:             ; preds = %bb3
     92         %tmp = getelementptr [1000 x i32], [1000 x i32]* @A, i32 0, i16 %i.0          ; <i32*> [#uses=1]
     93         store i32 123, i32* %tmp
     94         %tmp2 = sub i16 %i.0, 1         ; <i32> [#uses=1]
     95         br label %bb3
     96 
     97 bb3:            ; preds = %bb, %entry
     98         %i.0 = phi i16 [ %Start, %entry ], [ %tmp2, %bb ]            ; <i32> [#uses=3]
     99         %i.0.ext = sext i16 %i.0 to i32
    100         %tmp3 = icmp sge i32 %i.0.ext, %M          ; <i1> [#uses=1]
    101         br i1 %tmp3, label %bb, label %bb5
    102 
    103 bb5:            ; preds = %bb3
    104         br label %return
    105 
    106 return:         ; preds = %bb5
    107         ret void
    108 }
    109 
    110