; LLVM IR from abeaumont/competitive-programming :: kattis (vacuumba)

; 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" }
%"class.std::complex" = type { { double, double } }
%"struct.std::_Setprecision" = type { i32 }

@_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 i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca %"class.std::complex", align 8
  %5 = alloca double, align 8
  %6 = alloca i32, align 4
  %7 = alloca double, align 8
  %8 = alloca double, align 8
  %9 = alloca %"class.std::complex", align 8
  %10 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  %11 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  br label %12

12:                                               ; preds = %41, %0
  %13 = load i32, ptr %2, align 4, !tbaa !5
  %14 = add nsw i32 %13, -1
  store i32 %14, ptr %2, align 4, !tbaa !5
  %15 = icmp ne i32 %13, 0
  br i1 %15, label %16, label %53

16:                                               ; preds = %12
  %17 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %3)
  call void @llvm.lifetime.start.p0(i64 16, ptr %4) #7
  call void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %4, double noundef 0.000000e+00, double noundef 0.000000e+00)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #7
  store double 0x3FF921FB54442D18, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #7
  store i32 0, ptr %6, align 4, !tbaa !5
  br label %18

18:                                               ; preds = %38, %16
  %19 = load i32, ptr %6, align 4, !tbaa !5
  %20 = load i32, ptr %3, align 4, !tbaa !5
  %21 = icmp slt i32 %19, %20
  br i1 %21, label %23, label %22

22:                                               ; preds = %18
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #7
  br label %41

23:                                               ; preds = %18
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #7
  %24 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %7)
  %25 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %24, ptr noundef nonnull align 8 dereferenceable(8) %8)
  %26 = load double, ptr %7, align 8, !tbaa !9
  %27 = fmul double %26, 0x400921FB54442D18
  %28 = fdiv double %27, 1.800000e+02
  %29 = load double, ptr %5, align 8, !tbaa !9
  %30 = fadd double %29, %28
  store double %30, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 16, ptr %9) #7
  %31 = call { double, double } @_ZSt5polarIdESt7complexIT_ERKS1_S4_(ptr noundef nonnull align 8 dereferenceable(8) %8, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %32 = getelementptr inbounds %"class.std::complex", ptr %9, i32 0, i32 0
  %33 = getelementptr inbounds { double, double }, ptr %32, i32 0, i32 0
  %34 = extractvalue { double, double } %31, 0
  store double %34, ptr %33, align 8
  %35 = getelementptr inbounds { double, double }, ptr %32, i32 0, i32 1
  %36 = extractvalue { double, double } %31, 1
  store double %36, ptr %35, align 8
  %37 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSt7complexIdEpLIdEERS0_RKS_IT_E(ptr noundef nonnull align 8 dereferenceable(16) %4, ptr noundef nonnull align 8 dereferenceable(16) %9)
  call void @llvm.lifetime.end.p0(i64 16, ptr %9) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #7
  br label %38

38:                                               ; preds = %23
  %39 = load i32, ptr %6, align 4, !tbaa !5
  %40 = add nsw i32 %39, 1
  store i32 %40, ptr %6, align 4, !tbaa !5
  br label %18, !llvm.loop !11

41:                                               ; preds = %22
  %42 = call i32 @_ZSt12setprecisioni(i32 noundef 10)
  %43 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  store i32 %42, ptr %43, align 4
  %44 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  %45 = load i32, ptr %44, align 4
  %46 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %45)
  %47 = call noundef double @_ZNKSt7complexIdE4realB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16) %4)
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %46, double noundef %47)
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %48, i8 noundef signext 32)
  %50 = call noundef double @_ZNKSt7complexIdE4imagB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16) %4)
  %51 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %49, double noundef %50)
  %52 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %51, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 16, ptr %4) #7
  br label %12, !llvm.loop !13

53:                                               ; preds = %12
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #7
  %54 = load i32, ptr %1, align 4
  ret i32 %54
}

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

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #3 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #4 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { double, double } @_ZSt5polarIdESt7complexIT_ERKS1_S4_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #5

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(16) ptr @_ZNSt7complexIdEpLIdEERS0_RKS_IT_E(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(16)) #4 align 2

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) #4 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZNKSt7complexIdE4realB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16)) #3 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZNKSt7complexIdE4imagB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16)) #3 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 = { "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 = { 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 = { 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 = { 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 #6 = { 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 #7 = { 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 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; 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" }
%"class.std::complex" = type { { double, double } }

@_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 i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca %"class.std::complex", align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  %6 = alloca double, align 8
  %7 = alloca %"class.std::complex", align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #7
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %9 = load i32, ptr %1, align 4, !tbaa !5
  %10 = add nsw i32 %9, -1
  store i32 %10, ptr %1, align 4, !tbaa !5
  %.not4 = icmp eq i32 %9, 0
  br i1 %.not4, label %._crit_edge7, label %.lr.ph6

.lr.ph6:                                          ; preds = %0
  %11 = getelementptr inbounds i8, ptr %7, i64 8
  br label %12

12:                                               ; preds = %.lr.ph6, %._crit_edge
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %3) #7
  call void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %3, double noundef 0.000000e+00, double noundef 0.000000e+00)
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #7
  store double 0x3FF921FB54442D18, ptr %4, align 8, !tbaa !9
  %14 = load i32, ptr %2, align 4, !tbaa !5
  %15 = icmp sgt i32 %14, 0
  br i1 %15, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %12
  %16 = call i32 @_ZSt12setprecisioni(i32 noundef 10)
  %17 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %16)
  %18 = call noundef double @_ZNKSt7complexIdE4realB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16) %3)
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %17, double noundef %18)
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %19, i8 noundef signext 32)
  %21 = call noundef double @_ZNKSt7complexIdE4imagB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16) %3)
  %22 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %20, double noundef %21)
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %22, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #7
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %3) #7
  %24 = load i32, ptr %1, align 4, !tbaa !5
  %25 = add nsw i32 %24, -1
  store i32 %25, ptr %1, align 4, !tbaa !5
  %.not = icmp eq i32 %24, 0
  br i1 %.not, label %._crit_edge7, label %12, !llvm.loop !11

.lr.ph:                                           ; preds = %12, %.lr.ph
  %.03 = phi i32 [ %37, %.lr.ph ], [ 0, %12 ]
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %5) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %6) #7
  %26 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %27 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %26, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %28 = load double, ptr %5, align 8, !tbaa !9
  %29 = fmul double %28, 0x400921FB54442D18
  %30 = fdiv double %29, 1.800000e+02
  %31 = load double, ptr %4, align 8, !tbaa !9
  %32 = fadd double %31, %30
  store double %32, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %7) #7
  %33 = call { double, double } @_ZSt5polarIdESt7complexIT_ERKS1_S4_(ptr noundef nonnull align 8 dereferenceable(8) %6, ptr noundef nonnull align 8 dereferenceable(8) %4)
  %34 = extractvalue { double, double } %33, 0
  store double %34, ptr %7, align 8
  %35 = extractvalue { double, double } %33, 1
  store double %35, ptr %11, align 8
  %36 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSt7complexIdEpLIdEERS0_RKS_IT_E(ptr noundef nonnull align 8 dereferenceable(16) %3, ptr noundef nonnull align 8 dereferenceable(16) %7)
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %7) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %6) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #7
  %37 = add nuw nsw i32 %.03, 1
  %38 = load i32, ptr %2, align 4, !tbaa !5
  %39 = icmp slt i32 %37, %38
  br i1 %39, label %.lr.ph, label %._crit_edge, !llvm.loop !13

._crit_edge7:                                     ; preds = %._crit_edge, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  ret i32 0
}

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

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #3 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #4 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { double, double } @_ZSt5polarIdESt7complexIT_ERKS1_S4_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #5

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(16) ptr @_ZNSt7complexIdEpLIdEERS0_RKS_IT_E(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(16)) local_unnamed_addr #4 align 2

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) local_unnamed_addr #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) local_unnamed_addr #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) local_unnamed_addr #4 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZNKSt7complexIdE4realB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16)) local_unnamed_addr #3 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZNKSt7complexIdE4imagB5cxx11Ev(ptr noundef nonnull align 8 dereferenceable(16)) local_unnamed_addr #3 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 = { "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 = { 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 = { 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 = { 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 #6 = { 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 #7 = { 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 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass