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

; 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" }
%"struct.std::_Setprecision" = type { i32 }

@n = external dso_local global double, 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: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #1 {
  %1 = alloca i32, align 4
  %2 = alloca double, align 8
  %3 = alloca double, align 8
  %4 = alloca i64, align 8
  %5 = alloca double, align 8
  %6 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  %7 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store double 0.000000e+00, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  %8 = load double, ptr @n, align 8, !tbaa !5
  %9 = fadd double %8, 1.000000e+01
  store double %9, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  store i64 0, ptr %4, align 8, !tbaa !9
  br label %10

10:                                               ; preds = %28, %0
  %11 = load i64, ptr %4, align 8, !tbaa !9
  %12 = icmp slt i64 %11, 100
  br i1 %12, label %14, label %13

13:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  br label %31

14:                                               ; preds = %10
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  %15 = load double, ptr %2, align 8, !tbaa !5
  %16 = load double, ptr %3, align 8, !tbaa !5
  %17 = load double, ptr %2, align 8, !tbaa !5
  %18 = fsub double %16, %17
  %19 = fdiv double %18, 2.000000e+00
  %20 = fadd double %15, %19
  store double %20, ptr %5, align 8, !tbaa !5
  %21 = load double, ptr %5, align 8, !tbaa !5
  %22 = call noundef zeroext i1 @_Z4goodd(double noundef %21)
  br i1 %22, label %23, label %25

23:                                               ; preds = %14
  %24 = load double, ptr %5, align 8, !tbaa !5
  store double %24, ptr %3, align 8, !tbaa !5
  br label %27

25:                                               ; preds = %14
  %26 = load double, ptr %5, align 8, !tbaa !5
  store double %26, ptr %2, align 8, !tbaa !5
  br label %27

27:                                               ; preds = %25, %23
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  br label %28

28:                                               ; preds = %27
  %29 = load i64, ptr %4, align 8, !tbaa !9
  %30 = add nsw i64 %29, 1
  store i64 %30, ptr %4, align 8, !tbaa !9
  br label %10, !llvm.loop !11

31:                                               ; preds = %13
  %32 = call i32 @_ZSt12setprecisioni(i32 noundef 20)
  %33 = getelementptr inbounds %"struct.std::_Setprecision", ptr %6, i32 0, i32 0
  store i32 %32, ptr %33, align 4
  %34 = getelementptr inbounds %"struct.std::_Setprecision", ptr %6, i32 0, i32 0
  %35 = load i32, ptr %34, align 4
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %35)
  %37 = load double, ptr %3, align 8, !tbaa !5
  %38 = load double, ptr %3, align 8, !tbaa !5
  %39 = fmul double %37, %38
  %40 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %36, double noundef %39)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  ret i32 0
}

; 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)) #2 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

; 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) #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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !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" }

@n = external dso_local global double, 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 norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %2 = load double, ptr @n, align 8, !tbaa !5
  %3 = fadd double %2, 1.000000e+01
  br label %9

4:                                                ; preds = %9
  %5 = tail call i32 @_ZSt12setprecisioni(i32 noundef 20)
  %6 = 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 %5)
  %7 = fmul double %..09, %..09
  %8 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %6, double noundef %7)
  ret i32 0

9:                                                ; preds = %0, %9
  %.014 = phi double [ 0.000000e+00, %0 ], [ %.0., %9 ]
  %.0913 = phi double [ %3, %0 ], [ %..09, %9 ]
  %.01112 = phi i64 [ 0, %0 ], [ %14, %9 ]
  %10 = fsub double %.0913, %.014
  %11 = fmul double %10, 5.000000e-01
  %12 = fadd double %.014, %11
  %13 = tail call noundef zeroext i1 @_Z4goodd(double noundef %12)
  %..09 = select i1 %13, double %12, double %.0913
  %.0. = select i1 %13, double %.014, double %12
  %14 = add nuw nsw i64 %.01112, 1
  %exitcond.not = icmp eq i64 %14, 100
  br i1 %exitcond.not, label %4, label %9, !llvm.loop !9
}

; 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 #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" }

!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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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