; LLVM IR from MinaFaried3/Assiut-University-Training---Newcomers :: i-sheet6_math (G-Summationofitsdivisors)

; 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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #4
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  store i64 0, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #4
  store i32 1, ptr %4, align 4, !tbaa !9
  br label %6

6:                                                ; preds = %38, %0
  %7 = load i32, ptr %4, align 4, !tbaa !9
  %8 = sitofp i32 %7 to double
  %9 = load i64, ptr %2, align 8, !tbaa !5
  %10 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %9)
  %11 = fcmp ole double %8, %10
  br i1 %11, label %13, label %12

12:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #4
  br label %41

13:                                               ; preds = %6
  %14 = load i64, ptr %2, align 8, !tbaa !5
  %15 = load i32, ptr %4, align 4, !tbaa !9
  %16 = sext i32 %15 to i64
  %17 = srem i64 %14, %16
  %18 = icmp eq i64 %17, 0
  br i1 %18, label %19, label %37

19:                                               ; preds = %13
  %20 = load i32, ptr %4, align 4, !tbaa !9
  %21 = sext i32 %20 to i64
  %22 = load i64, ptr %3, align 8, !tbaa !5
  %23 = add nsw i64 %22, %21
  store i64 %23, ptr %3, align 8, !tbaa !5
  %24 = load i32, ptr %4, align 4, !tbaa !9
  %25 = sitofp i32 %24 to double
  %26 = load i64, ptr %2, align 8, !tbaa !5
  %27 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %26)
  %28 = fcmp une double %25, %27
  br i1 %28, label %29, label %36

29:                                               ; preds = %19
  %30 = load i64, ptr %2, align 8, !tbaa !5
  %31 = load i32, ptr %4, align 4, !tbaa !9
  %32 = sext i32 %31 to i64
  %33 = sdiv i64 %30, %32
  %34 = load i64, ptr %3, align 8, !tbaa !5
  %35 = add nsw i64 %34, %33
  store i64 %35, ptr %3, align 8, !tbaa !5
  br label %36

36:                                               ; preds = %29, %19
  br label %37

37:                                               ; preds = %36, %13
  br label %38

38:                                               ; preds = %37
  %39 = load i32, ptr %4, align 4, !tbaa !9
  %40 = add nsw i32 %39, 1
  store i32 %40, ptr %4, align 4, !tbaa !9
  br label %6, !llvm.loop !11

41:                                               ; preds = %12
  %42 = load i64, ptr %3, align 8, !tbaa !5
  %43 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %42)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #4
  %44 = load i32, ptr %1, align 4
  ret i32 %44
}

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef) #3

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #2 align 2

attributes #0 = { mustprogress norecurse 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 = { mustprogress 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 #3 = { inlinehint 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 #4 = { 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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #4
  %2 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %3 = load i64, ptr %1, align 8, !tbaa !5
  %4 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %3)
  %5 = fcmp ult double %4, 1.000000e+00
  br i1 %5, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %18, %0
  %.010.lcssa = phi i64 [ 0, %0 ], [ %.1, %18 ]
  %6 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.010.lcssa)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #4
  ret i32 0

.lr.ph:                                           ; preds = %0, %18
  %indvars.iv = phi i64 [ %indvars.iv.next, %18 ], [ 1, %0 ]
  %7 = phi double [ %21, %18 ], [ 1.000000e+00, %0 ]
  %.01012 = phi i64 [ %.1, %18 ], [ 0, %0 ]
  %8 = load i64, ptr %1, align 8, !tbaa !5
  %9 = srem i64 %8, %indvars.iv
  %10 = icmp eq i64 %9, 0
  br i1 %10, label %11, label %18

11:                                               ; preds = %.lr.ph
  %12 = add nsw i64 %.01012, %indvars.iv
  %13 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %8)
  %14 = fcmp une double %13, %7
  %.pre = load i64, ptr %1, align 8, !tbaa !5
  br i1 %14, label %15, label %18

15:                                               ; preds = %11
  %16 = sdiv i64 %.pre, %indvars.iv
  %17 = add nsw i64 %16, %12
  br label %18

18:                                               ; preds = %.lr.ph, %15, %11
  %19 = phi i64 [ %.pre, %15 ], [ %.pre, %11 ], [ %8, %.lr.ph ]
  %.1 = phi i64 [ %17, %15 ], [ %12, %11 ], [ %.01012, %.lr.ph ]
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %20 = trunc nuw i64 %indvars.iv.next to i32
  %21 = uitofp nneg i32 %20 to double
  %22 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %19)
  %23 = fcmp ult double %22, %21
  br i1 %23, label %._crit_edge, label %.lr.ph, !llvm.loop !9
}

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef) local_unnamed_addr #3

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #2 align 2

attributes #0 = { mustprogress norecurse 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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress 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 #3 = { inlinehint 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 #4 = { 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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass