; 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
declare dso_local <2 x float> @complex_add(<2 x float>, <2 x float>) #0

; Function Attrs: nounwind uwtable
declare dso_local <2 x float> @complex_multiply(<2 x float>, <2 x float>) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nounwind uwtable
declare dso_local <2 x float> @complex_conjugate(<2 x float>) #0

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #2

; Function Attrs: nounwind uwtable
define dso_local <2 x float> @complex_vector_dot(ptr noundef %0, ptr noundef %1, i64 noundef %2) #0 {
  %4 = alloca %struct.ComplexFloat, align 4
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca i64, align 8
  %8 = alloca i64, align 8
  %9 = alloca %struct.ComplexFloat, align 4
  %10 = alloca %struct.ComplexFloat, align 4
  %11 = alloca %struct.ComplexFloat, align 4
  store ptr %0, ptr %5, align 8, !tbaa !5
  store ptr %1, ptr %6, align 8, !tbaa !5
  store i64 %2, ptr %7, align 8, !tbaa !9
  call void @llvm.memset.p0.i64(ptr align 4 %4, i8 0, i64 8, i1 false)
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #4
  store i64 0, ptr %8, align 8, !tbaa !9
  br label %12

12:                                               ; preds = %32, %3
  %13 = load i64, ptr %8, align 8, !tbaa !9
  %14 = load i64, ptr %7, align 8, !tbaa !9
  %15 = icmp ult i64 %13, %14
  br i1 %15, label %17, label %16

16:                                               ; preds = %12
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  br label %35

17:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #4
  %18 = load ptr, ptr %5, align 8, !tbaa !5
  %19 = load i64, ptr %8, align 8, !tbaa !9
  %20 = getelementptr inbounds %struct.ComplexFloat, ptr %18, i64 %19
  %21 = load ptr, ptr %6, align 8, !tbaa !5
  %22 = load i64, ptr %8, align 8, !tbaa !9
  %23 = getelementptr inbounds %struct.ComplexFloat, ptr %21, i64 %22
  %24 = load <2 x float>, ptr %23, align 4
  %25 = call <2 x float> @complex_conjugate(<2 x float> %24)
  store <2 x float> %25, ptr %11, align 4
  %26 = load <2 x float>, ptr %20, align 4
  %27 = load <2 x float>, ptr %11, align 4
  %28 = call <2 x float> @complex_multiply(<2 x float> %26, <2 x float> %27)
  store <2 x float> %28, ptr %10, align 4
  %29 = load <2 x float>, ptr %4, align 4
  %30 = load <2 x float>, ptr %10, align 4
  %31 = call <2 x float> @complex_add(<2 x float> %29, <2 x float> %30)
  store <2 x float> %31, ptr %9, align 4
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %4, ptr align 4 %9, i64 8, i1 false), !tbaa.struct !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #4
  br label %32

32:                                               ; preds = %17
  %33 = load i64, ptr %8, align 8, !tbaa !9
  %34 = add i64 %33, 1
  store i64 %34, ptr %8, align 8, !tbaa !9
  br label %12, !llvm.loop !14

35:                                               ; preds = %16
  %36 = load <2 x float>, ptr %4, align 4
  ret <2 x float> %36
}

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #3

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 willreturn memory(argmem: readwrite) }
attributes #2 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { nocallback nofree nounwind willreturn memory(argmem: write) }
attributes #4 = { 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 = !{!"long", !7, i64 0}
!11 = !{i64 0, i64 4, !12, i64 4, i64 4, !12}
!12 = !{!13, !13, i64 0}
!13 = !{!"float", !7, i64 0}
!14 = distinct !{!14, !15}
!15 = !{!"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"

%struct.ComplexFloat = type { float, float }

; Function Attrs: nounwind uwtable
declare dso_local <2 x float> @complex_add(<2 x float>, <2 x float>) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local <2 x float> @complex_multiply(<2 x float>, <2 x float>) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local <2 x float> @complex_conjugate(<2 x float>) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
define dso_local <2 x float> @complex_vector_dot(ptr nocapture noundef readonly %0, ptr nocapture noundef readonly %1, i64 noundef %2) local_unnamed_addr #0 {
  %.not = icmp eq i64 %2, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %3
  %.sroa.08.0.lcssa = phi <2 x float> [ zeroinitializer, %3 ], [ %10, %.lr.ph ]
  ret <2 x float> %.sroa.08.0.lcssa

.lr.ph:                                           ; preds = %3, %.lr.ph
  %.sroa.08.011 = phi <2 x float> [ %10, %.lr.ph ], [ zeroinitializer, %3 ]
  %.010 = phi i64 [ %11, %.lr.ph ], [ 0, %3 ]
  %4 = getelementptr inbounds %struct.ComplexFloat, ptr %0, i64 %.010
  %5 = getelementptr inbounds %struct.ComplexFloat, ptr %1, i64 %.010
  %6 = load <2 x float>, ptr %5, align 4
  %7 = tail call <2 x float> @complex_conjugate(<2 x float> %6)
  %8 = load <2 x float>, ptr %4, align 4
  %9 = tail call <2 x float> @complex_multiply(<2 x float> %8, <2 x float> %7)
  %10 = tail call <2 x float> @complex_add(<2 x float> %.sroa.08.011, <2 x float> %9)
  %11 = add nuw i64 %.010, 1
  %exitcond.not = icmp eq i64 %11, %2
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !5
}

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" }

!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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


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