; LLVM IR from CLASS-SZ/class_sz :: class-sz/tools (r8lib)

; 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 @sqrt(double noundef) #1

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

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

; Function Attrs: nounwind uwtable
define dso_local double @r8_factorial_stirling(i32 noundef %0) #2 {
  %2 = alloca i32, align 4
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  store i32 %0, ptr %2, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #3
  store double 0x4005BF0A8B145769, ptr %3, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  store double 0x400921FB54442D18, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  %6 = load i32, ptr %2, align 4, !tbaa !5
  %7 = icmp slt i32 %6, 0
  br i1 %7, label %8, label %9

8:                                                ; preds = %1
  store double 0.000000e+00, ptr %5, align 8, !tbaa !9
  br label %32

9:                                                ; preds = %1
  %10 = load i32, ptr %2, align 4, !tbaa !5
  %11 = icmp eq i32 %10, 0
  br i1 %11, label %12, label %13

12:                                               ; preds = %9
  store double 1.000000e+00, ptr %5, align 8, !tbaa !9
  br label %31

13:                                               ; preds = %9
  %14 = load i32, ptr %2, align 4, !tbaa !5
  %15 = sitofp i32 %14 to double
  %16 = fmul double 0x401921FB54442D18, %15
  %17 = call double @sqrt(double noundef %16) #3
  %18 = load i32, ptr %2, align 4, !tbaa !5
  %19 = sitofp i32 %18 to double
  %20 = fdiv double %19, 0x4005BF0A8B145769
  %21 = load i32, ptr %2, align 4, !tbaa !5
  %22 = sitofp i32 %21 to double
  %23 = call double @pow(double noundef %20, double noundef %22) #3
  %24 = fmul double %17, %23
  %25 = load i32, ptr %2, align 4, !tbaa !5
  %26 = mul nsw i32 12, %25
  %27 = sitofp i32 %26 to double
  %28 = fdiv double 1.000000e+00, %27
  %29 = call double @exp(double noundef %28) #3
  %30 = fmul double %24, %29
  store double %30, ptr %5, align 8, !tbaa !9
  br label %31

31:                                               ; preds = %13, %12
  br label %32

32:                                               ; preds = %31, %8
  %33 = load double, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #3
  ret double %33
}

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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !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 @sqrt(double noundef) local_unnamed_addr #0

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

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

; Function Attrs: mustprogress nofree nounwind willreturn memory(write) uwtable
define dso_local double @r8_factorial_stirling(i32 noundef %0) local_unnamed_addr #1 {
  %2 = icmp slt i32 %0, 0
  br i1 %2, label %17, label %3

3:                                                ; preds = %1
  %4 = icmp eq i32 %0, 0
  br i1 %4, label %17, label %5

5:                                                ; preds = %3
  %6 = uitofp nneg i32 %0 to double
  %7 = fmul double %6, 0x401921FB54442D18
  %8 = tail call double @sqrt(double noundef %7) #2
  %9 = fdiv double %6, 0x4005BF0A8B145769
  %10 = tail call double @pow(double noundef %9, double noundef %6) #2
  %11 = fmul double %8, %10
  %12 = mul nuw nsw i32 %0, 12
  %13 = uitofp nneg i32 %12 to double
  %14 = fdiv double 1.000000e+00, %13
  %15 = tail call double @exp(double noundef %14) #2
  %16 = fmul double %11, %15
  br label %17

17:                                               ; preds = %3, %1, %5
  %.0 = phi double [ %16, %5 ], [ 0.000000e+00, %1 ], [ 1.000000e+00, %3 ]
  ret double %.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"="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)"}


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