; LLVM IR from sgtlaugh/algovault :: code_library/josephus_problem.ll (Z9josephus1iii)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i32 @_Z9josephus1iii(i32 noundef %0, i32 noundef %1, i32 noundef %2) #0 {
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  store i32 %2, ptr %6, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #2
  %8 = load i32, ptr %4, align 4, !tbaa !5
  %9 = load i32, ptr %6, align 4, !tbaa !5
  %10 = sub nsw i32 %8, %9
  store i32 %10, ptr %6, align 4, !tbaa !5
  %11 = load i32, ptr %6, align 4, !tbaa !5
  %12 = add nsw i32 %11, 1
  store i32 %12, ptr %7, align 4, !tbaa !5
  br label %13

13:                                               ; preds = %29, %3
  %14 = load i32, ptr %7, align 4, !tbaa !5
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = icmp sle i32 %14, %15
  br i1 %16, label %17, label %32

17:                                               ; preds = %13
  %18 = load i32, ptr %5, align 4, !tbaa !5
  %19 = load i32, ptr %6, align 4, !tbaa !5
  %20 = add nsw i32 %19, %18
  store i32 %20, ptr %6, align 4, !tbaa !5
  %21 = load i32, ptr %6, align 4, !tbaa !5
  %22 = load i32, ptr %7, align 4, !tbaa !5
  %23 = icmp sge i32 %21, %22
  br i1 %23, label %24, label %28

24:                                               ; preds = %17
  %25 = load i32, ptr %7, align 4, !tbaa !5
  %26 = load i32, ptr %6, align 4, !tbaa !5
  %27 = srem i32 %26, %25
  store i32 %27, ptr %6, align 4, !tbaa !5
  br label %28

28:                                               ; preds = %24, %17
  br label %29

29:                                               ; preds = %28
  %30 = load i32, ptr %7, align 4, !tbaa !5
  %31 = add nsw i32 %30, 1
  store i32 %31, ptr %7, align 4, !tbaa !5
  br label %13, !llvm.loop !9

32:                                               ; preds = %13
  %33 = load i32, ptr %6, align 4, !tbaa !5
  %34 = add nsw i32 %33, 1
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #2
  ret i32 %34
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

attributes #0 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef range(i32 -2147483647, -2147483648) i32 @_Z9josephus1iii(i32 noundef %0, i32 noundef %1, i32 noundef %2) local_unnamed_addr #0 {
  %4 = sub nsw i32 %0, %2
  %.not.not18 = icmp sgt i32 %2, 0
  br i1 %.not.not18, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %3, %8
  %.0.in20 = phi i32 [ %.021, %8 ], [ %4, %3 ]
  %.01319 = phi i32 [ %.1, %8 ], [ %4, %3 ]
  %.021 = add nsw i32 %.0.in20, 1
  %5 = add nsw i32 %.01319, %1
  %.not.not16 = icmp sgt i32 %5, %.0.in20
  br i1 %.not.not16, label %6, label %8

6:                                                ; preds = %.lr.ph
  %7 = srem i32 %5, %.021
  br label %8

8:                                                ; preds = %.lr.ph, %6
  %.1 = phi i32 [ %7, %6 ], [ %5, %.lr.ph ]
  %.not.not = icmp slt i32 %.021, %0
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !5

._crit_edge:                                      ; preds = %8, %3
  %.013.lcssa = phi i32 [ %4, %3 ], [ %.1, %8 ]
  %9 = add nsw i32 %.013.lcssa, 1
  ret i32 %9
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass