; LLVM IR from SudeErzurumlu/matrix_eigenvalues_eigenvectors :: C++/eigen_calculation.ll (Z11vector_normRKSt6vectorIdSaIdEE)

; 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.__gnu_cxx::__normal_iterator" = type { ptr }

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

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

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_Z11vector_normRKSt6vectorIdSaIdEE(ptr noundef nonnull align 8 dereferenceable(24) %0) #2 {
  %2 = alloca ptr, align 8
  %3 = alloca double, align 8
  %4 = alloca ptr, align 8
  %5 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %6 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %7 = alloca double, align 8
  store ptr %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #5
  store double 0.000000e+00, ptr %3, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #5
  %8 = load ptr, ptr %2, align 8, !tbaa !5
  store ptr %8, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #5
  %9 = load ptr, ptr %4, align 8, !tbaa !5
  %10 = call ptr @_ZNKSt6vectorIdSaIdEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) %9) #5
  %11 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %5, i32 0, i32 0
  store ptr %10, ptr %11, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #5
  %12 = load ptr, ptr %4, align 8, !tbaa !5
  %13 = call ptr @_ZNKSt6vectorIdSaIdEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) %12) #5
  %14 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %6, i32 0, i32 0
  store ptr %13, ptr %14, align 8
  br label %15

15:                                               ; preds = %25, %1
  %16 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPKdSt6vectorIdSaIdEEEEbRKNS_17__normal_iteratorIT_T0_EESB_(ptr noundef nonnull align 8 dereferenceable(8) %5, ptr noundef nonnull align 8 dereferenceable(8) %6) #5
  br i1 %16, label %18, label %17

17:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #5
  br label %27

18:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #5
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %5) #5
  %20 = load double, ptr %19, align 8, !tbaa !9
  store double %20, ptr %7, align 8, !tbaa !9
  %21 = load double, ptr %7, align 8, !tbaa !9
  %22 = load double, ptr %7, align 8, !tbaa !9
  %23 = load double, ptr %3, align 8, !tbaa !9
  %24 = call double @llvm.fmuladd.f64(double %21, double %22, double %23)
  store double %24, ptr %3, align 8, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #5
  br label %25

25:                                               ; preds = %18
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %5) #5
  br label %15

27:                                               ; preds = %17
  %28 = load double, ptr %3, align 8, !tbaa !9
  %29 = call double @sqrt(double noundef %28) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #5
  ret double %29
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNKSt6vectorIdSaIdEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNKSt6vectorIdSaIdEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPKdSt6vectorIdSaIdEEEEbRKNS_17__normal_iteratorIT_T0_EESB_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: nounwind
declare double @sqrt(double noundef) #4

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = { 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 #4 = { 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 #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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}


; 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.__gnu_cxx::__normal_iterator" = type { ptr }

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

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

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_Z11vector_normRKSt6vectorIdSaIdEE(ptr noundef nonnull align 8 dereferenceable(24) %0) local_unnamed_addr #2 {
  %2 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %3 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #5
  %4 = tail call ptr @_ZNKSt6vectorIdSaIdEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #5
  store ptr %4, ptr %2, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #5
  %5 = tail call ptr @_ZNKSt6vectorIdSaIdEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #5
  store ptr %5, ptr %3, align 8
  %6 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPKdSt6vectorIdSaIdEEEEbRKNS_17__normal_iteratorIT_T0_EESB_(ptr noundef nonnull align 8 dereferenceable(8) %2, ptr noundef nonnull align 8 dereferenceable(8) %3) #5
  br i1 %6, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %1
  %.0.lcssa = phi double [ 0.000000e+00, %1 ], [ %10, %.lr.ph ]
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #5
  %7 = call double @sqrt(double noundef %.0.lcssa) #5
  ret double %7

.lr.ph:                                           ; preds = %1, %.lr.ph
  %.07 = phi double [ %10, %.lr.ph ], [ 0.000000e+00, %1 ]
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %2) #5
  %9 = load double, ptr %8, align 8, !tbaa !5
  %10 = call double @llvm.fmuladd.f64(double %9, double %9, double %.07)
  %11 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %2) #5
  %12 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPKdSt6vectorIdSaIdEEEEbRKNS_17__normal_iteratorIT_T0_EESB_(ptr noundef nonnull align 8 dereferenceable(8) %2, ptr noundef nonnull align 8 dereferenceable(8) %3) #5
  br i1 %12, label %.lr.ph, label %._crit_edge
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNKSt6vectorIdSaIdEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNKSt6vectorIdSaIdEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPKdSt6vectorIdSaIdEEEEbRKNS_17__normal_iteratorIT_T0_EESB_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPKdSt6vectorIdSaIdEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #4

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = { 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 #4 = { mustprogress nofree nounwind willreturn memory(write) "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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}


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