; 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 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
declare dso_local <2 x float> @complex_conjugate(<2 x float>) #1

; 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 void @complex_matrix_conjugate_transpose(ptr noundef %0, ptr noundef %1, i64 noundef %2, i64 noundef %3) #1 {
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca i64, align 8
  %8 = alloca i64, align 8
  %9 = alloca i64, align 8
  %10 = alloca i32, align 4
  %11 = alloca i64, align 8
  %12 = 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
  store i64 %3, ptr %8, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #3
  store i64 0, ptr %9, align 8, !tbaa !9
  br label %13

13:                                               ; preds = %45, %4
  %14 = load i64, ptr %9, align 8, !tbaa !9
  %15 = load i64, ptr %7, align 8, !tbaa !9
  %16 = icmp ult i64 %14, %15
  br i1 %16, label %18, label %17

17:                                               ; preds = %13
  store i32 2, ptr %10, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #3
  br label %48

18:                                               ; preds = %13
  call void @llvm.lifetime.start.p0(i64 8, ptr %11) #3
  store i64 0, ptr %11, align 8, !tbaa !9
  br label %19

19:                                               ; preds = %41, %18
  %20 = load i64, ptr %11, align 8, !tbaa !9
  %21 = load i64, ptr %8, align 8, !tbaa !9
  %22 = icmp ult i64 %20, %21
  br i1 %22, label %24, label %23

23:                                               ; preds = %19
  store i32 5, ptr %10, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %11) #3
  br label %44

24:                                               ; preds = %19
  %25 = load ptr, ptr %6, align 8, !tbaa !5
  %26 = load i64, ptr %11, align 8, !tbaa !9
  %27 = load i64, ptr %7, align 8, !tbaa !9
  %28 = mul i64 %26, %27
  %29 = load i64, ptr %9, align 8, !tbaa !9
  %30 = add i64 %28, %29
  %31 = getelementptr inbounds %struct.ComplexFloat, ptr %25, i64 %30
  call void @llvm.lifetime.start.p0(i64 8, ptr %12) #3
  %32 = load ptr, ptr %5, align 8, !tbaa !5
  %33 = load i64, ptr %9, align 8, !tbaa !9
  %34 = load i64, ptr %8, align 8, !tbaa !9
  %35 = mul i64 %33, %34
  %36 = load i64, ptr %11, align 8, !tbaa !9
  %37 = add i64 %35, %36
  %38 = getelementptr inbounds %struct.ComplexFloat, ptr %32, i64 %37
  %39 = load <2 x float>, ptr %38, align 4
  %40 = call <2 x float> @complex_conjugate(<2 x float> %39)
  store <2 x float> %40, ptr %12, align 4
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %31, ptr align 4 %12, i64 8, i1 false), !tbaa.struct !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %12) #3
  br label %41

41:                                               ; preds = %24
  %42 = load i64, ptr %11, align 8, !tbaa !9
  %43 = add i64 %42, 1
  store i64 %43, ptr %11, align 8, !tbaa !9
  br label %19, !llvm.loop !14

44:                                               ; preds = %23
  br label %45

45:                                               ; preds = %44
  %46 = load i64, ptr %9, align 8, !tbaa !9
  %47 = add i64 %46, 1
  store i64 %47, ptr %9, align 8, !tbaa !9
  br label %13, !llvm.loop !16

48:                                               ; preds = %17
  ret void
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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, !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"}
!16 = distinct !{!16, !15}


; 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_conjugate(<2 x float>) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
define dso_local void @complex_matrix_conjugate_transpose(ptr nocapture noundef readonly %0, ptr nocapture noundef writeonly %1, i64 noundef %2, i64 noundef %3) local_unnamed_addr #0 {
  %.not = icmp eq i64 %2, 0
  %.not19 = icmp eq i64 %3, 0
  %or.cond = or i1 %.not, %.not19
  br i1 %or.cond, label %._crit_edge18, label %.preheader.us

.preheader.us:                                    ; preds = %4, %._crit_edge.us
  %.017.us = phi i64 [ %13, %._crit_edge.us ], [ 0, %4 ]
  %invariant.gep.us = getelementptr %struct.ComplexFloat, ptr %1, i64 %.017.us
  %5 = mul i64 %.017.us, %3
  %6 = getelementptr %struct.ComplexFloat, ptr %0, i64 %5
  br label %7

7:                                                ; preds = %.preheader.us, %7
  %.01316.us = phi i64 [ 0, %.preheader.us ], [ %12, %7 ]
  %8 = mul i64 %.01316.us, %2
  %gep.us = getelementptr %struct.ComplexFloat, ptr %invariant.gep.us, i64 %8
  %9 = getelementptr %struct.ComplexFloat, ptr %6, i64 %.01316.us
  %10 = load <2 x float>, ptr %9, align 4
  %11 = tail call <2 x float> @complex_conjugate(<2 x float> %10)
  store <2 x float> %11, ptr %gep.us, align 4
  %12 = add nuw i64 %.01316.us, 1
  %exitcond.not = icmp eq i64 %12, %3
  br i1 %exitcond.not, label %._crit_edge.us, label %7, !llvm.loop !5

._crit_edge.us:                                   ; preds = %7
  %13 = add nuw i64 %.017.us, 1
  %exitcond21.not = icmp eq i64 %13, %2
  br i1 %exitcond21.not, label %._crit_edge18, label %.preheader.us, !llvm.loop !7

._crit_edge18:                                    ; preds = %._crit_edge.us, %4
  ret void
}

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"}
!7 = distinct !{!7, !6}


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