; LLVM IR from reyadussalahin/problem-solving :: computational_geometry/convex_hull/loj/F1203 (Solution)

; 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"

%struct.Vec = type { i64, i64 }

; Function Attrs: nounwind uwtable
define dso_local double @length(i64 %0, i64 %1) #0 {
  %3 = alloca %struct.Vec, align 8
  %4 = getelementptr inbounds { i64, i64 }, ptr %3, i32 0, i32 0
  store i64 %0, ptr %4, align 8
  %5 = getelementptr inbounds { i64, i64 }, ptr %3, i32 0, i32 1
  store i64 %1, ptr %5, align 8
  %6 = getelementptr inbounds %struct.Vec, ptr %3, i32 0, i32 0
  %7 = load i64, ptr %6, align 8, !tbaa !5
  %8 = getelementptr inbounds %struct.Vec, ptr %3, i32 0, i32 0
  %9 = load i64, ptr %8, align 8, !tbaa !5
  %10 = mul nsw i64 %7, %9
  %11 = getelementptr inbounds %struct.Vec, ptr %3, i32 0, i32 1
  %12 = load i64, ptr %11, align 8, !tbaa !10
  %13 = getelementptr inbounds %struct.Vec, ptr %3, i32 0, i32 1
  %14 = load i64, ptr %13, align 8, !tbaa !10
  %15 = mul nsw i64 %12, %14
  %16 = add nsw i64 %10, %15
  %17 = sitofp i64 %16 to double
  %18 = call double @sqrt(double noundef %17) #2
  ret double %18
}

; Function Attrs: nounwind
declare double @sqrt(double noundef) #1

attributes #0 = { 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 = { nounwind "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 = { 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, !7, i64 0}
!6 = !{!"", !7, i64 0, !7, i64 8}
!7 = !{!"long long", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!6, !7, i64 8}


; 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"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local double @length(i64 %0, i64 %1) local_unnamed_addr #0 {
  %3 = mul nsw i64 %0, %0
  %4 = mul nsw i64 %1, %1
  %5 = add nuw nsw i64 %4, %3
  %6 = uitofp nneg i64 %5 to double
  %sqrt = tail call double @llvm.sqrt.f64(double %6)
  ret double %sqrt
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.sqrt.f64(double) #1

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) 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 speculatable willreturn memory(none) }

!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)"}


; Effective O3 passes: AggressiveInstCombinePass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,TailCallElimPass