; LLVM IR from Shah-Shishir/Codeforces-Solutions :: 755A - PolandBall and Hypothesis.ll (Z5primei)

; 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_ostream" = type { ptr, %"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 }

@m = external dso_local global i32, align 4
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5primei(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) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #5
  store i32 1, ptr %6, align 4, !tbaa !5
  %7 = load i32, ptr %2, align 4, !tbaa !5
  %8 = load i32, ptr @m, align 4, !tbaa !5
  %9 = mul nsw i32 %7, %8
  %10 = add nsw i32 %9, 1
  store i32 %10, ptr %5, align 4, !tbaa !5
  %11 = load i32, ptr %5, align 4, !tbaa !5
  %12 = call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %11)
  %13 = fptosi double %12 to i32
  store i32 %13, ptr %3, align 4, !tbaa !5
  %14 = load i32, ptr %5, align 4, !tbaa !5
  %15 = srem i32 %14, 2
  %16 = icmp eq i32 %15, 0
  br i1 %16, label %17, label %18

17:                                               ; preds = %1
  store i32 0, ptr %6, align 4, !tbaa !5
  br label %34

18:                                               ; preds = %1
  store i32 2, ptr %4, align 4, !tbaa !5
  br label %19

19:                                               ; preds = %30, %18
  %20 = load i32, ptr %4, align 4, !tbaa !5
  %21 = load i32, ptr %3, align 4, !tbaa !5
  %22 = icmp sle i32 %20, %21
  br i1 %22, label %23, label %33

23:                                               ; preds = %19
  %24 = load i32, ptr %5, align 4, !tbaa !5
  %25 = load i32, ptr %4, align 4, !tbaa !5
  %26 = srem i32 %24, %25
  %27 = icmp eq i32 %26, 0
  br i1 %27, label %28, label %29

28:                                               ; preds = %23
  store i32 0, ptr %6, align 4, !tbaa !5
  br label %33

29:                                               ; preds = %23
  br label %30

30:                                               ; preds = %29
  %31 = load i32, ptr %4, align 4, !tbaa !5
  %32 = add nsw i32 %31, 1
  store i32 %32, ptr %4, align 4, !tbaa !5
  br label %19, !llvm.loop !9

33:                                               ; preds = %28, %19
  br label %34

34:                                               ; preds = %33, %17
  %35 = load i32, ptr %6, align 4, !tbaa !5
  %36 = icmp eq i32 %35, 0
  br i1 %36, label %37, label %41

37:                                               ; preds = %34
  %38 = load i32, ptr @m, align 4, !tbaa !5
  %39 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %38)
  %40 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %39, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %45

41:                                               ; preds = %34
  %42 = load i32, ptr @m, align 4, !tbaa !5
  %43 = add nsw i32 %42, 1
  store i32 %43, ptr @m, align 4, !tbaa !5
  %44 = load i32, ptr %2, align 4, !tbaa !5
  call void @_Z5primei(i32 noundef %44)
  br label %45

45:                                               ; preds = %41, %37
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  ret void
}

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

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) #2

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #3

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #4

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

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { "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 = { inlinehint 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 #5 = { 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"

%"class.std::basic_ostream" = type { ptr, %"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 }

@m = external dso_local local_unnamed_addr global i32, align 4
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5primei(i32 noundef %0) local_unnamed_addr #0 {
  %2 = load i32, ptr @m, align 4, !tbaa !5
  %3 = mul nsw i32 %2, %0
  %4 = add nsw i32 %3, 1
  %5 = tail call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %4)
  %6 = and i32 %3, 1
  %.not15 = icmp eq i32 %6, 0
  br i1 %.not15, label %.preheader, label %.loopexit

.preheader:                                       ; preds = %1, %.critedge
  %.in = phi double [ %20, %.critedge ], [ %5, %1 ]
  %7 = phi i32 [ %19, %.critedge ], [ %4, %1 ]
  %8 = fptosi double %.in to i32
  %.not1113 = icmp slt i32 %8, 2
  br i1 %.not1113, label %.critedge, label %.lr.ph

9:                                                ; preds = %.lr.ph
  %10 = add nuw i32 %.01014, 1
  %exitcond.not = icmp eq i32 %.01014, %8
  br i1 %exitcond.not, label %.critedge, label %.lr.ph, !llvm.loop !9

.lr.ph:                                           ; preds = %.preheader, %9
  %.01014 = phi i32 [ %10, %9 ], [ 2, %.preheader ]
  %11 = srem i32 %7, %.01014
  %12 = icmp eq i32 %11, 0
  br i1 %12, label %.loopexit, label %9

.loopexit:                                        ; preds = %.critedge, %.lr.ph, %1
  %13 = load i32, ptr @m, align 4, !tbaa !5
  %14 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %13)
  %15 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %14, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret void

.critedge:                                        ; preds = %9, %.preheader
  %16 = load i32, ptr @m, align 4, !tbaa !5
  %17 = add nsw i32 %16, 1
  store i32 %17, ptr @m, align 4, !tbaa !5
  %18 = mul nsw i32 %17, %0
  %19 = add nsw i32 %18, 1
  %20 = tail call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %19)
  %21 = and i32 %18, 1
  %.not = icmp eq i32 %21, 0
  br i1 %.not, label %.preheader, label %.loopexit
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) local_unnamed_addr #1

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #3

attributes #0 = { 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 #1 = { 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 #2 = { "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 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 = !{!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"}


; Effective O3 passes: GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopInstSimplifyPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass