; LLVM IR from Dutta-SD/Numerical_Methods :: Linear_Algebra (Power_Method)

; 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"

; 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: nounwind uwtable
define dso_local void @Divide_by_Eigen(ptr noundef %0, double noundef %1) #1 {
  %3 = alloca ptr, align 8
  %4 = alloca double, align 8
  %5 = alloca i32, align 4
  store ptr %0, ptr %3, align 8, !tbaa !5
  store double %1, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #2
  store i32 0, ptr %5, align 4, !tbaa !11
  br label %6

6:                                                ; preds = %23, %2
  %7 = load i32, ptr %5, align 4, !tbaa !11
  %8 = icmp slt i32 %7, 3
  br i1 %8, label %9, label %26

9:                                                ; preds = %6
  %10 = load ptr, ptr %3, align 8, !tbaa !5
  %11 = load i32, ptr %5, align 4, !tbaa !11
  %12 = sext i32 %11 to i64
  %13 = getelementptr inbounds [1 x double], ptr %10, i64 %12
  %14 = getelementptr inbounds [1 x double], ptr %13, i64 0, i64 0
  %15 = load double, ptr %14, align 8, !tbaa !9
  %16 = load double, ptr %4, align 8, !tbaa !9
  %17 = fdiv double %15, %16
  %18 = load ptr, ptr %3, align 8, !tbaa !5
  %19 = load i32, ptr %5, align 4, !tbaa !11
  %20 = sext i32 %19 to i64
  %21 = getelementptr inbounds [1 x double], ptr %18, i64 %20
  %22 = getelementptr inbounds [1 x double], ptr %21, i64 0, i64 0
  store double %17, ptr %22, align 8, !tbaa !9
  br label %23

23:                                               ; preds = %9
  %24 = load i32, ptr %5, align 4, !tbaa !11
  %25 = add nsw i32 %24, 1
  store i32 %25, ptr %5, align 4, !tbaa !11
  br label %6, !llvm.loop !13

26:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #2
  ret void
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #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, !6, i64 0}
!6 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(argmem: readwrite) uwtable
define dso_local void @Divide_by_Eigen(ptr nocapture noundef %0, double noundef %1) local_unnamed_addr #0 {
  %3 = load <2 x double>, ptr %0, align 8, !tbaa !5
  %4 = insertelement <2 x double> poison, double %1, i64 0
  %5 = shufflevector <2 x double> %4, <2 x double> poison, <2 x i32> zeroinitializer
  %6 = fdiv <2 x double> %3, %5
  store <2 x double> %6, ptr %0, align 8, !tbaa !5
  %7 = getelementptr inbounds i8, ptr %0, i64 16
  %8 = load double, ptr %7, align 8, !tbaa !5
  %9 = fdiv double %8, %1
  store double %9, ptr %7, align 8, !tbaa !5
  ret void
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(argmem: readwrite) 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/C++ TBAA"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,SimplifyCFGPass