; 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_from_polar(float noundef %0, float noundef %1) #0 {
  %3 = alloca %struct.ComplexFloat, align 4
  %4 = alloca float, align 4
  %5 = alloca float, align 4
  store float %0, ptr %4, align 4, !tbaa !5
  store float %1, ptr %5, align 4, !tbaa !5
  %6 = load float, ptr %4, align 4, !tbaa !5
  %7 = load float, ptr %5, align 4, !tbaa !5
  %8 = call float @cosf(float noundef %7) #2
  %9 = fmul float %6, %8
  %10 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 0
  store float %9, ptr %10, align 4, !tbaa !9
  %11 = load float, ptr %4, align 4, !tbaa !5
  %12 = load float, ptr %5, align 4, !tbaa !5
  %13 = call float @sinf(float noundef %12) #2
  %14 = fmul float %11, %13
  %15 = getelementptr inbounds %struct.ComplexFloat, ptr %3, i32 0, i32 1
  store float %14, ptr %15, align 4, !tbaa !11
  %16 = load <2 x float>, ptr %3, align 4
  ret <2 x float> %16
}

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

; Function Attrs: nounwind
declare float @sinf(float noundef) #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 = { 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 }

!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 = !{!"float", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !6, i64 0}
!10 = !{!"", !6, i64 0, !6, i64 4}
!11 = !{!10, !6, 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) uwtable
define dso_local <2 x float> @complex_from_polar(float noundef %0, float noundef %1) local_unnamed_addr #0 {
  %3 = tail call float @cosf(float noundef %1) #2
  %4 = tail call float @sinf(float noundef %1) #2
  %5 = insertelement <2 x float> poison, float %3, i64 0
  %6 = insertelement <2 x float> %5, float %4, i64 1
  %7 = insertelement <2 x float> poison, float %0, i64 0
  %8 = shufflevector <2 x float> %7, <2 x float> poison, <2 x i32> zeroinitializer
  %9 = fmul <2 x float> %6, %8
  ret <2 x float> %9
}

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare float @cosf(float noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare float @sinf(float noundef) local_unnamed_addr #1

attributes #0 = { 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 #1 = { 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 #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)"}


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