; LLVM IR from devparthgarg/Data-Structures-and-Algorithms :: 01. Time and Space Analysis/01 Need of Asymptotic Analysis/code.ll (Z4sum1i)

; 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 @_Z4sum1i(i32 noundef %0) #0 {
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  store i32 %0, ptr %2, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #2
  store i32 0, ptr %3, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #2
  store i32 1, ptr %4, align 4, !tbaa !5
  br label %7

7:                                                ; preds = %25, %1
  %8 = load i32, ptr %4, align 4, !tbaa !5
  %9 = load i32, ptr %2, align 4, !tbaa !5
  %10 = icmp sle i32 %8, %9
  br i1 %10, label %12, label %11

11:                                               ; preds = %7
  store i32 2, ptr %5, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #2
  br label %28

12:                                               ; preds = %7
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #2
  store i32 1, ptr %6, align 4, !tbaa !5
  br label %13

13:                                               ; preds = %21, %12
  %14 = load i32, ptr %6, align 4, !tbaa !5
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = icmp sle i32 %14, %15
  br i1 %16, label %18, label %17

17:                                               ; preds = %13
  store i32 5, ptr %5, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #2
  br label %24

18:                                               ; preds = %13
  %19 = load i32, ptr %3, align 4, !tbaa !5
  %20 = add nsw i32 %19, 1
  store i32 %20, ptr %3, align 4, !tbaa !5
  br label %21

21:                                               ; preds = %18
  %22 = load i32, ptr %6, align 4, !tbaa !5
  %23 = add nsw i32 %22, 1
  store i32 %23, ptr %6, align 4, !tbaa !5
  br label %13, !llvm.loop !9

24:                                               ; preds = %17
  br label %25

25:                                               ; preds = %24
  %26 = load i32, ptr %4, align 4, !tbaa !5
  %27 = add nsw i32 %26, 1
  store i32 %27, ptr %4, align 4, !tbaa !5
  br label %7, !llvm.loop !11

28:                                               ; preds = %11
  %29 = load i32, ptr %3, align 4, !tbaa !5
  store i32 1, ptr %5, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #2
  ret i32 %29
}

; 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"}
!11 = distinct !{!11, !10}


; 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 i32 @_Z4sum1i(i32 noundef %0) local_unnamed_addr #0 {
  %.not13 = icmp slt i32 %0, 1
  br i1 %.not13, label %._crit_edge, label %.preheader.preheader

.preheader.preheader:                             ; preds = %1
  %2 = shl nuw i32 %0, 1
  %3 = add nsw i32 %0, -1
  %4 = zext nneg i32 %3 to i33
  %5 = add nsw i32 %0, -2
  %6 = zext i32 %5 to i33
  %7 = mul i33 %4, %6
  %8 = lshr i33 %7, 1
  %9 = trunc nuw i33 %8 to i32
  %10 = add i32 %2, %9
  %11 = add i32 %10, -1
  br label %._crit_edge

._crit_edge:                                      ; preds = %.preheader.preheader, %1
  %.09.lcssa = phi i32 [ 0, %1 ], [ %11, %.preheader.preheader ]
  ret i32 %.09.lcssa
}

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)"}


; Effective O3 passes: CorrelatedValuePropagationPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,PostOrderFunctionAttrsPass,SCCPPass,SROAPass,SimplifyCFGPass