; LLVM IR from tfhe/spqlios-arithmetic :: spqlios/reim (reim_ifft_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_ifft_bfs_16_omegas(i64 noundef, double noundef, ptr noundef) #2

; Function Attrs: nounwind uwtable
define dso_local void @fill_reim_ifft_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_ifft_bfs_16_omegas(i64 noundef %12, double noundef %13, ptr noundef %14)
  br label %43

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 i64, ptr %7, align 8, !tbaa !5
  %21 = load double, ptr %8, align 8, !tbaa !9
  %22 = load ptr, ptr %6, align 8, !tbaa !11
  call void @fill_reim_ifft_rec_16_omegas(i64 noundef %20, double noundef %21, ptr noundef %22)
  %23 = load i64, ptr %7, align 8, !tbaa !5
  %24 = load double, ptr %8, align 8, !tbaa !9
  %25 = fadd double %24, 5.000000e-01
  %26 = load ptr, ptr %6, align 8, !tbaa !11
  call void @fill_reim_ifft_rec_16_omegas(i64 noundef %23, double noundef %25, ptr noundef %26)
  %27 = load double, ptr %8, align 8, !tbaa !9
  %28 = fmul double 0x401921FB54442D18, %27
  %29 = call double @cos(double noundef %28) #3
  %30 = load ptr, ptr %6, align 8, !tbaa !11
  %31 = load ptr, ptr %30, align 8, !tbaa !11
  %32 = getelementptr inbounds double, ptr %31, i64 0
  store double %29, ptr %32, align 8, !tbaa !9
  %33 = load double, ptr %8, align 8, !tbaa !9
  %34 = fmul double 0x401921FB54442D18, %33
  %35 = call double @sin(double noundef %34) #3
  %36 = fneg double %35
  %37 = load ptr, ptr %6, align 8, !tbaa !11
  %38 = load ptr, ptr %37, align 8, !tbaa !11
  %39 = getelementptr inbounds double, ptr %38, i64 1
  store double %36, ptr %39, align 8, !tbaa !9
  %40 = load ptr, ptr %6, align 8, !tbaa !11
  %41 = load ptr, ptr %40, align 8, !tbaa !11
  %42 = getelementptr inbounds double, ptr %41, i64 2
  store ptr %42, ptr %40, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #3
  br label %43

43:                                               ; 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_ifft_bfs_16_omegas(i64 noundef, double noundef, ptr noundef) local_unnamed_addr #1

; Function Attrs: nounwind uwtable
define dso_local void @fill_reim_ifft_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 %common.ret, label %5

common.ret:                                       ; preds = %3
  tail call void @fill_reim_ifft_bfs_16_omegas(i64 noundef %0, double noundef %1, ptr noundef %2)
  br label %common.ret16

common.ret16:                                     ; preds = %5, %common.ret
  ret void

5:                                                ; preds = %3
  %6 = lshr i64 %0, 1
  %7 = fmul double %1, 5.000000e-01
  tail call void @fill_reim_ifft_rec_16_omegas(i64 noundef %6, double noundef %7, ptr noundef %2)
  %8 = fadd double %7, 5.000000e-01
  tail call void @fill_reim_ifft_rec_16_omegas(i64 noundef %6, double noundef %8, ptr noundef %2)
  %9 = fmul double %7, 0x401921FB54442D18
  %10 = tail call double @cos(double noundef %9) #2
  %11 = load ptr, ptr %2, align 8, !tbaa !5
  store double %10, ptr %11, align 8, !tbaa !9
  %12 = tail call double @sin(double noundef %9) #2
  %13 = fneg double %12
  %14 = load ptr, ptr %2, align 8, !tbaa !5
  %15 = getelementptr inbounds i8, ptr %14, i64 8
  store double %13, ptr %15, align 8, !tbaa !9
  %16 = getelementptr inbounds i8, ptr %14, i64 16
  store ptr %16, ptr %2, align 8, !tbaa !5
  br label %common.ret16
}

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,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,SROAPass,SimplifyCFGPass,TailCallElimPass