; LLVM IR from tsotchke/quantum_geometric_tensor :: src/quantum_geometric/core (complex_arithmetic)

; 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.ComplexFloat = type { float, float }

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #0

; Function Attrs: nounwind uwtable
define dso_local <2 x float> @complex_divide(<2 x float> %0, <2 x float> %1) #1 {
  %3 = alloca %struct.ComplexFloat, align 4
  %4 = alloca %struct.ComplexFloat, align 4
  %5 = alloca %struct.ComplexFloat, align 4
  %6 = alloca float, align 4
  store <2 x float> %0, ptr %4, align 4
  store <2 x float> %1, ptr %5, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #3
  %7 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %8 = load float, ptr %7, align 4, !tbaa !5
  %9 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %10 = load float, ptr %9, align 4, !tbaa !5
  %11 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %12 = load float, ptr %11, align 4, !tbaa !10
  %13 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %14 = load float, ptr %13, align 4, !tbaa !10
  %15 = fmul float %12, %14
  %16 = call float @llvm.fmuladd.f32(float %8, float %10, float %15)
  store float %16, ptr %6, align 4, !tbaa !11
  %17 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 0
  %18 = load float, ptr %17, align 4, !tbaa !5
  %19 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %20 = load float, ptr %19, align 4, !tbaa !5
  %21 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 1
  %22 = load float, ptr %21, align 4, !tbaa !10
  %23 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %24 = load float, ptr %23, align 4, !tbaa !10
  %25 = fmul float %22, %24
  %26 = call float @llvm.fmuladd.f32(float %18, float %20, float %25)
  %27 = load float, ptr %6, align 4, !tbaa !11
  %28 = fdiv float %26, %27
  %29 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 0
  store float %28, ptr %29, align 4, !tbaa !5
  %30 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 1
  %31 = load float, ptr %30, align 4, !tbaa !10
  %32 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %33 = load float, ptr %32, align 4, !tbaa !5
  %34 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 0
  %35 = load float, ptr %34, align 4, !tbaa !5
  %36 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %37 = load float, ptr %36, align 4, !tbaa !10
  %38 = fmul float %35, %37
  %39 = fneg float %38
  %40 = call float @llvm.fmuladd.f32(float %31, float %33, float %39)
  %41 = load float, ptr %6, align 4, !tbaa !11
  %42 = fdiv float %40, %41
  %43 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 1
  store float %42, ptr %43, align 4, !tbaa !10
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #3
  %44 = load <2 x float>, ptr %3, align 4
  ret <2 x float> %44
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

attributes #0 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { nounwind uwtable "min-legal-vector-width"="64" "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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { 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 4}
!7 = !{!"float", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!6, !7, i64 4}
!11 = !{!7, !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"

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #0

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local <2 x float> @complex_divide(<2 x float> %0, <2 x float> %1) local_unnamed_addr #1 {
  %3 = extractelement <2 x float> %0, i64 0
  %.sroa.0.0.vec.extract = extractelement <2 x float> %1, i64 0
  %4 = fmul <2 x float> %1, %1
  %5 = extractelement <2 x float> %4, i64 1
  %6 = tail call float @llvm.fmuladd.f32(float %.sroa.0.0.vec.extract, float %.sroa.0.0.vec.extract, float %5)
  %7 = fneg float %3
  %8 = shufflevector <2 x float> %1, <2 x float> poison, <2 x i32> <i32 1, i32 1>
  %9 = shufflevector <2 x float> %0, <2 x float> poison, <2 x i32> <i32 1, i32 poison>
  %10 = insertelement <2 x float> %9, float %7, i64 1
  %11 = fmul <2 x float> %8, %10
  %12 = shufflevector <2 x float> %1, <2 x float> poison, <2 x i32> zeroinitializer
  %13 = tail call <2 x float> @llvm.fmuladd.v2f32(<2 x float> %0, <2 x float> %12, <2 x float> %11)
  %14 = insertelement <2 x float> poison, float %6, i64 0
  %15 = shufflevector <2 x float> %14, <2 x float> poison, <2 x i32> zeroinitializer
  %16 = fdiv <2 x float> %13, %15
  ret <2 x float> %16
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x float> @llvm.fmuladd.v2f32(<2 x float>, <2 x float>, <2 x float>) #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable "min-legal-vector-width"="64" "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 = { 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: EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,ReassociatePass,SLPVectorizerPass,SROAPass,TailCallElimPass,VectorCombinePass