; LLVM IR from ritikbanger/Hacktoberfest2022-DSA :: 01. Mathematics (ropes)

; 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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"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" }
%"struct.std::_Setprecision" = type { i32 }

@n = external dso_local global i64, align 8
@k = external dso_local global i64, align 8
@arr = external dso_local global %"class.std::vector", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_Z4goodd(double noundef) #0

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #0 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: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca i64, align 8
  %6 = alloca double, align 8
  %7 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 8 dereferenceable(8) @k)
  %10 = load i64, ptr @n, align 8, !tbaa !5
  call void @_ZNSt6vectorIxSaIxEE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24) @arr, i64 noundef %10)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store i64 0, ptr %2, align 8, !tbaa !5
  br label %11

11:                                               ; preds = %20, %0
  %12 = load i64, ptr %2, align 8, !tbaa !5
  %13 = load i64, ptr @n, align 8, !tbaa !5
  %14 = icmp slt i64 %12, %13
  br i1 %14, label %16, label %15

15:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  br label %23

16:                                               ; preds = %11
  %17 = load i64, ptr %2, align 8, !tbaa !5
  %18 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @arr, i64 noundef %17) #6
  %19 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %18)
  br label %20

20:                                               ; preds = %16
  %21 = load i64, ptr %2, align 8, !tbaa !5
  %22 = add nsw i64 %21, 1
  store i64 %22, ptr %2, align 8, !tbaa !5
  br label %11, !llvm.loop !9

23:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  store double 0.000000e+00, ptr %3, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  store double 2.000000e+00, ptr %4, align 8, !tbaa !11
  br label %24

24:                                               ; preds = %27, %23
  %25 = load double, ptr %4, align 8, !tbaa !11
  %26 = call noundef zeroext i1 @_Z4goodd(double noundef %25)
  br i1 %26, label %27, label %30

27:                                               ; preds = %24
  %28 = load double, ptr %4, align 8, !tbaa !11
  %29 = fmul double %28, 2.000000e+00
  store double %29, ptr %4, align 8, !tbaa !11
  br label %24, !llvm.loop !13

30:                                               ; preds = %24
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  store i64 0, ptr %5, align 8, !tbaa !5
  br label %31

31:                                               ; preds = %49, %30
  %32 = load i64, ptr %5, align 8, !tbaa !5
  %33 = icmp slt i64 %32, 100
  br i1 %33, label %35, label %34

34:                                               ; preds = %31
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  br label %52

35:                                               ; preds = %31
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #6
  %36 = load double, ptr %3, align 8, !tbaa !11
  %37 = load double, ptr %4, align 8, !tbaa !11
  %38 = load double, ptr %3, align 8, !tbaa !11
  %39 = fsub double %37, %38
  %40 = fdiv double %39, 2.000000e+00
  %41 = fadd double %36, %40
  store double %41, ptr %6, align 8, !tbaa !11
  %42 = load double, ptr %6, align 8, !tbaa !11
  %43 = call noundef zeroext i1 @_Z4goodd(double noundef %42)
  br i1 %43, label %44, label %46

44:                                               ; preds = %35
  %45 = load double, ptr %6, align 8, !tbaa !11
  store double %45, ptr %3, align 8, !tbaa !11
  br label %48

46:                                               ; preds = %35
  %47 = load double, ptr %6, align 8, !tbaa !11
  store double %47, ptr %4, align 8, !tbaa !11
  br label %48

48:                                               ; preds = %46, %44
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #6
  br label %49

49:                                               ; preds = %48
  %50 = load i64, ptr %5, align 8, !tbaa !5
  %51 = add nsw i64 %50, 1
  store i64 %51, ptr %5, align 8, !tbaa !5
  br label %31, !llvm.loop !14

52:                                               ; preds = %34
  %53 = call i32 @_ZSt12setprecisioni(i32 noundef 20)
  %54 = getelementptr inbounds %"struct.std::_Setprecision", ptr %7, i32 0, i32 0
  store i32 %53, ptr %54, align 4
  %55 = getelementptr inbounds %"struct.std::_Setprecision", ptr %7, i32 0, i32 0
  %56 = load i32, ptr %55, align 4
  %57 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %56)
  %58 = load double, ptr %3, align 8, !tbaa !11
  %59 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %57, double noundef %58)
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  ret i32 0
}

; 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)) #3 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #3 align 2

; 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) #4

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) #3 align 2

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 = { 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 #3 = { 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 #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 = { 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 #6 = { 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"}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !10}
!14 = distinct !{!14, !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"

%"class.std::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"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" }

@n = external dso_local global i64, align 8
@k = external dso_local global i64, align 8
@arr = external dso_local global %"class.std::vector", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_Z4goodd(double noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %2 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %1, ptr noundef nonnull align 8 dereferenceable(8) @k)
  %3 = load i64, ptr @n, align 8, !tbaa !5
  tail call void @_ZNSt6vectorIxSaIxEE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24) @arr, i64 noundef %3)
  %4 = load i64, ptr @n, align 8, !tbaa !5
  %5 = icmp sgt i64 %4, 0
  br i1 %5, label %.lr.ph, label %.preheader17

.preheader17:                                     ; preds = %.lr.ph, %0
  %6 = tail call noundef zeroext i1 @_Z4goodd(double noundef 2.000000e+00)
  br i1 %6, label %.lr.ph20, label %.preheader.preheader

.preheader.preheader:                             ; preds = %.lr.ph20, %.preheader17
  %.11621.ph = phi double [ 2.000000e+00, %.preheader17 ], [ %12, %.lr.ph20 ]
  br label %.preheader

.lr.ph:                                           ; preds = %0, %.lr.ph
  %.018 = phi i64 [ %9, %.lr.ph ], [ 0, %0 ]
  %7 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @arr, i64 noundef %.018) #5
  %8 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %7)
  %9 = add nuw nsw i64 %.018, 1
  %10 = load i64, ptr @n, align 8, !tbaa !5
  %11 = icmp slt i64 %9, %10
  br i1 %11, label %.lr.ph, label %.preheader17, !llvm.loop !9

.lr.ph20:                                         ; preds = %.preheader17, %.lr.ph20
  %.01519 = phi double [ %12, %.lr.ph20 ], [ 2.000000e+00, %.preheader17 ]
  %12 = fmul double %.01519, 2.000000e+00
  %13 = tail call noundef zeroext i1 @_Z4goodd(double noundef %12)
  br i1 %13, label %.lr.ph20, label %.preheader.preheader, !llvm.loop !11

14:                                               ; preds = %.preheader
  %15 = tail call i32 @_ZSt12setprecisioni(i32 noundef 20)
  %16 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %15)
  %17 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %16, double noundef %..013)
  ret i32 0

.preheader:                                       ; preds = %.preheader.preheader, %.preheader
  %.01323 = phi double [ %..013, %.preheader ], [ 0.000000e+00, %.preheader.preheader ]
  %.01422 = phi i64 [ %22, %.preheader ], [ 0, %.preheader.preheader ]
  %.11621 = phi double [ %.116., %.preheader ], [ %.11621.ph, %.preheader.preheader ]
  %18 = fsub double %.11621, %.01323
  %19 = fmul double %18, 5.000000e-01
  %20 = fadd double %.01323, %19
  %21 = tail call noundef zeroext i1 @_Z4goodd(double noundef %20)
  %.116. = select i1 %21, double %.11621, double %20
  %..013 = select i1 %21, double %20, double %.01323
  %22 = add nuw nsw i64 %.01422, 1
  %exitcond.not = icmp eq i64 %22, 100
  br i1 %exitcond.not, label %14, label %.preheader, !llvm.loop !12
}

; 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: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 align 2

; 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 #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) local_unnamed_addr #4

; 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 #2 align 2

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 = { 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 #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 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 = { 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 #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 = !{!"long long", !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}
!12 = distinct !{!12, !10}


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