; LLVM IR from tfhe/spqlios-arithmetic :: spqlios/reim (reim_fft_ref)

; 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"

; 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 double @cos(double noundef) #1

; Function Attrs: nounwind
declare double @sin(double noundef) #1

; Function Attrs: nounwind uwtable
declare dso_local void @fill_reim_fft_bfs_16_omegas(i64 noundef, double noundef, ptr noundef) #2

; Function Attrs: nounwind uwtable
define dso_local void @fill_reim_fft_rec_16_omegas(i64 noundef %0, double noundef %1, ptr noundef %2) #2 {
  %4 = alloca i64, align 8
  %5 = alloca double, align 8
  %6 = alloca ptr, align 8
  %7 = alloca i64, align 8
  %8 = alloca double, align 8
  store i64 %0, ptr %4, align 8, !tbaa !5
  store double %1, ptr %5, align 8, !tbaa !9
  store ptr %2, ptr %6, align 8, !tbaa !11
  %9 = load i64, ptr %4, align 8, !tbaa !5
  %10 = icmp ule i64 %9, 2048
  br i1 %10, label %11, label %15

11:                                               ; preds = %3
  %12 = load i64, ptr %4, align 8, !tbaa !5
  %13 = load double, ptr %5, align 8, !tbaa !9
  %14 = load ptr, ptr %6, align 8, !tbaa !11
  call void @fill_reim_fft_bfs_16_omegas(i64 noundef %12, double noundef %13, ptr noundef %14)
  br label %42

15:                                               ; preds = %3
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #3
  %16 = load i64, ptr %4, align 8, !tbaa !5
  %17 = udiv i64 %16, 2
  store i64 %17, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #3
  %18 = load double, ptr %5, align 8, !tbaa !9
  %19 = fdiv double %18, 2.000000e+00
  store double %19, ptr %8, align 8, !tbaa !9
  %20 = load double, ptr %8, align 8, !tbaa !9
  %21 = fmul double 0x401921FB54442D18, %20
  %22 = call double @cos(double noundef %21) #3
  %23 = load ptr, ptr %6, align 8, !tbaa !11
  %24 = load ptr, ptr %23, align 8, !tbaa !11
  %25 = getelementptr inbounds double, ptr %24, i64 0
  store double %22, ptr %25, align 8, !tbaa !9
  %26 = load double, ptr %8, align 8, !tbaa !9
  %27 = fmul double 0x401921FB54442D18, %26
  %28 = call double @sin(double noundef %27) #3
  %29 = load ptr, ptr %6, align 8, !tbaa !11
  %30 = load ptr, ptr %29, align 8, !tbaa !11
  %31 = getelementptr inbounds double, ptr %30, i64 1
  store double %28, ptr %31, align 8, !tbaa !9
  %32 = load ptr, ptr %6, align 8, !tbaa !11
  %33 = load ptr, ptr %32, align 8, !tbaa !11
  %34 = getelementptr inbounds double, ptr %33, i64 2
  store ptr %34, ptr %32, align 8, !tbaa !11
  %35 = load i64, ptr %7, align 8, !tbaa !5
  %36 = load double, ptr %8, align 8, !tbaa !9
  %37 = load ptr, ptr %6, align 8, !tbaa !11
  call void @fill_reim_fft_rec_16_omegas(i64 noundef %35, double noundef %36, ptr noundef %37)
  %38 = load i64, ptr %7, align 8, !tbaa !5
  %39 = load double, ptr %8, align 8, !tbaa !9
  %40 = fadd double %39, 5.000000e-01
  %41 = load ptr, ptr %6, align 8, !tbaa !11
  call void @fill_reim_fft_rec_16_omegas(i64 noundef %38, double noundef %40, ptr noundef %41)
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #3
  br label %42

42:                                               ; preds = %15, %11
  ret void
}

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"="0" "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, !6, i64 0}
!6 = !{!"long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"any pointer", !7, i64 0}


; 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 double @cos(double noundef) local_unnamed_addr #0

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

; Function Attrs: nounwind uwtable
declare dso_local void @fill_reim_fft_bfs_16_omegas(i64 noundef, double noundef, ptr noundef) local_unnamed_addr #1

; Function Attrs: nounwind uwtable
define dso_local void @fill_reim_fft_rec_16_omegas(i64 noundef %0, double noundef %1, ptr noundef %2) local_unnamed_addr #1 {
  %4 = icmp ult i64 %0, 2049
  br i1 %4, label %tailrecurse._crit_edge, label %tailrecurse

tailrecurse._crit_edge:                           ; preds = %tailrecurse, %3
  %.tr.lcssa = phi i64 [ %0, %3 ], [ %5, %tailrecurse ]
  %.tr16.lcssa = phi double [ %1, %3 ], [ %14, %tailrecurse ]
  tail call void @fill_reim_fft_bfs_16_omegas(i64 noundef %.tr.lcssa, double noundef %.tr16.lcssa, ptr noundef %2)
  ret void

tailrecurse:                                      ; preds = %3, %tailrecurse
  %.tr1619 = phi double [ %14, %tailrecurse ], [ %1, %3 ]
  %.tr18 = phi i64 [ %5, %tailrecurse ], [ %0, %3 ]
  %5 = lshr i64 %.tr18, 1
  %6 = fmul double %.tr1619, 5.000000e-01
  %7 = fmul double %6, 0x401921FB54442D18
  %8 = tail call double @cos(double noundef %7) #2
  %9 = load ptr, ptr %2, align 8, !tbaa !5
  store double %8, ptr %9, align 8, !tbaa !9
  %10 = tail call double @sin(double noundef %7) #2
  %11 = load ptr, ptr %2, align 8, !tbaa !5
  %12 = getelementptr inbounds i8, ptr %11, i64 8
  store double %10, ptr %12, align 8, !tbaa !9
  %13 = getelementptr inbounds i8, ptr %11, i64 16
  store ptr %13, ptr %2, align 8, !tbaa !5
  tail call void @fill_reim_fft_rec_16_omegas(i64 noundef %5, double noundef %6, ptr noundef nonnull %2)
  %14 = fadd double %6, 5.000000e-01
  %15 = icmp ult i64 %.tr18, 4098
  br i1 %15, label %tailrecurse._crit_edge, label %tailrecurse
}

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 = { nounwind uwtable "min-legal-vector-width"="0" "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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}


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