; 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
declare float @cosf(float noundef) #1

; Function Attrs: nounwind
declare float @sinf(float noundef) #1

; Function Attrs: nounwind uwtable
define dso_local <2 x float> @complex_exp(<2 x float> %0) #2 {
  %2 = alloca %struct.ComplexFloat, align 4
  %3 = alloca %struct.ComplexFloat, align 4
  %4 = alloca float, align 4
  store <2 x float> %0, ptr %3, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #3
  %5 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 0
  %6 = load float, ptr %5, align 4, !tbaa !5
  %7 = call float @expf(float noundef %6) #3, !tbaa !10
  store float %7, ptr %4, align 4, !tbaa !12
  %8 = load float, ptr %4, align 4, !tbaa !12
  %9 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 1
  %10 = load float, ptr %9, align 4, !tbaa !13
  %11 = call float @cosf(float noundef %10) #3
  %12 = fmul float %8, %11
  %13 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 0
  store float %12, ptr %13, align 4, !tbaa !5
  %14 = load float, ptr %4, align 4, !tbaa !12
  %15 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 1
  %16 = load float, ptr %15, align 4, !tbaa !13
  %17 = call float @sinf(float noundef %16) #3
  %18 = fmul float %14, %17
  %19 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 1
  store float %18, ptr %19, align 4, !tbaa !13
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #3
  %20 = load <2 x float>, ptr %2, align 4
  ret <2 x float> %20
}

; Function Attrs: nounwind
declare float @expf(float noundef) #1

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nounwind "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 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 #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 = !{!11, !11, i64 0}
!11 = !{!"int", !8, i64 0}
!12 = !{!7, !7, i64 0}
!13 = !{!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 nounwind willreturn memory(write)
declare float @cosf(float noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare float @sinf(float noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nofree nounwind willreturn memory(write) uwtable
define dso_local <2 x float> @complex_exp(<2 x float> %0) local_unnamed_addr #1 {
  %.sroa.0.0.vec.extract = extractelement <2 x float> %0, i64 0
  %2 = tail call float @expf(float noundef %.sroa.0.0.vec.extract) #2, !tbaa !5
  %.sroa.0.4.vec.extract = extractelement <2 x float> %0, i64 1
  %3 = tail call float @cosf(float noundef %.sroa.0.4.vec.extract) #2
  %4 = tail call float @sinf(float noundef %.sroa.0.4.vec.extract) #2
  %5 = insertelement <2 x float> poison, float %2, i64 0
  %6 = shufflevector <2 x float> %5, <2 x float> poison, <2 x i32> zeroinitializer
  %7 = insertelement <2 x float> poison, float %3, i64 0
  %8 = insertelement <2 x float> %7, float %4, i64 1
  %9 = fmul <2 x float> %6, %8
  ret <2 x float> %9
}

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare float @expf(float noundef) local_unnamed_addr #0

attributes #0 = { mustprogress nofree nounwind willreturn memory(write) "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 = { mustprogress nofree nounwind willreturn memory(write) 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 = { 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,TailCallElimPass