; 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: nounwind uwtable
define dso_local <2 x float> @complex_multiply(<2 x float> %0, <2 x float> %1) #0 {
  %3 = alloca %struct.ComplexFloat, align 4
  %4 = alloca %struct.ComplexFloat, align 4
  %5 = alloca %struct.ComplexFloat, align 4
  store <2 x float> %0, ptr %4, align 4
  store <2 x float> %1, ptr %5, align 4
  %6 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 0
  %7 = load float, ptr %6, align 4, !tbaa !5
  %8 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %9 = load float, ptr %8, align 4, !tbaa !5
  %10 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 1
  %11 = load float, ptr %10, align 4, !tbaa !10
  %12 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %13 = load float, ptr %12, align 4, !tbaa !10
  %14 = fmul float %11, %13
  %15 = fneg float %14
  %16 = call float @llvm.fmuladd.f32(float %7, float %9, float %15)
  %17 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 0
  store float %16, ptr %17, align 4, !tbaa !5
  %18 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 0
  %19 = load float, ptr %18, align 4, !tbaa !5
  %20 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 1
  %21 = load float, ptr %20, align 4, !tbaa !10
  %22 = getelementptr inbounds %struct.ComplexFloat, ptr %4, i32 0, i32 1
  %23 = load float, ptr %22, align 4, !tbaa !10
  %24 = getelementptr inbounds %struct.ComplexFloat, ptr %5, i32 0, i32 0
  %25 = load float, ptr %24, align 4, !tbaa !5
  %26 = fmul float %23, %25
  %27 = call float @llvm.fmuladd.f32(float %19, float %21, float %26)
  %28 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 1
  store float %27, ptr %28, align 4, !tbaa !10
  %29 = load <2 x float>, ptr %3, align 4
  ret <2 x float> %29
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #1

attributes #0 = { 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 #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)"}
!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}


; 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 <2 x float> @complex_multiply(<2 x float> %0, <2 x float> %1) local_unnamed_addr #0 {
  %3 = shufflevector <2 x float> %0, <2 x float> poison, <2 x i32> <i32 1, i32 poison>
  %4 = fneg <2 x float> %0
  %5 = shufflevector <2 x float> %3, <2 x float> %4, <2 x i32> <i32 0, i32 3>
  %6 = fmul <2 x float> %5, %1
  %7 = shufflevector <2 x float> %6, <2 x float> poison, <2 x i32> <i32 1, i32 0>
  %8 = shufflevector <2 x float> %0, <2 x float> poison, <2 x i32> zeroinitializer
  %9 = tail call <2 x float> @llvm.fmuladd.v2f32(<2 x float> %8, <2 x float> %1, <2 x float> %7)
  ret <2 x float> %9
}

; 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>) #1

attributes #0 = { 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 #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: EarlyCSEPass,GlobalDCEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,ReassociatePass,SLPVectorizerPass,SROAPass,TailCallElimPass,VectorCombinePass