; LLVM IR from TheAlgorithms/C-Plus-Plus :: math/check_factorial.ll (ZN4math12is_factorialEm)

; 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: mustprogress nounwind uwtable
define dso_local noundef zeroext i1 @_ZN4math12is_factorialEm(i64 noundef %0) #0 {
  %2 = alloca i1, align 1
  %3 = alloca i64, align 8
  %4 = alloca i32, align 4
  store i64 %0, ptr %3, align 8, !tbaa !5
  %5 = load i64, ptr %3, align 8, !tbaa !5
  %6 = icmp ule i64 %5, 0
  br i1 %6, label %7, label %8

7:                                                ; preds = %1
  store i1 false, ptr %2, align 1
  br label %25

8:                                                ; preds = %1
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #2
  store i32 2, ptr %4, align 4, !tbaa !9
  br label %9

9:                                                ; preds = %15, %8
  %10 = load i64, ptr %3, align 8, !tbaa !5
  %11 = load i32, ptr %4, align 4, !tbaa !9
  %12 = sext i32 %11 to i64
  %13 = urem i64 %10, %12
  %14 = icmp eq i64 %13, 0
  br i1 %14, label %15, label %22

15:                                               ; preds = %9
  %16 = load i64, ptr %3, align 8, !tbaa !5
  %17 = load i32, ptr %4, align 4, !tbaa !9
  %18 = sext i32 %17 to i64
  %19 = udiv i64 %16, %18
  store i64 %19, ptr %3, align 8, !tbaa !5
  %20 = load i32, ptr %4, align 4, !tbaa !9
  %21 = add nsw i32 %20, 1
  store i32 %21, ptr %4, align 4, !tbaa !9
  br label %9, !llvm.loop !11

22:                                               ; preds = %9
  %23 = load i64, ptr %3, align 8, !tbaa !5
  %24 = icmp eq i64 %23, 1
  store i1 %24, ptr %2, align 1
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #2
  br label %25

25:                                               ; preds = %22, %7
  %26 = load i1, ptr %2, align 1
  ret i1 %26
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

attributes #0 = { mustprogress 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = !{!"long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; 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 norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef zeroext i1 @_ZN4math12is_factorialEm(i64 noundef %0) local_unnamed_addr #0 {
  %2 = icmp eq i64 %0, 0
  br i1 %2, label %9, label %.preheader

.preheader:                                       ; preds = %1
  %3 = and i64 %0, 1
  %4 = icmp eq i64 %3, 0
  br i1 %4, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 2, %.preheader ]
  %.0710 = phi i64 [ %5, %.lr.ph ], [ %0, %.preheader ]
  %5 = udiv i64 %.0710, %indvars.iv
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %6 = urem i64 %5, %indvars.iv.next
  %7 = icmp eq i64 %6, 0
  br i1 %7, label %.lr.ph, label %._crit_edge, !llvm.loop !5

._crit_edge:                                      ; preds = %.lr.ph, %.preheader
  %.07.lcssa = phi i64 [ %0, %.preheader ], [ %5, %.lr.ph ]
  %8 = icmp eq i64 %.07.lcssa, 1
  br label %9

9:                                                ; preds = %1, %._crit_edge
  %.08 = phi i1 [ %8, %._crit_edge ], [ false, %1 ]
  ret i1 %.08
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) 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" }

!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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


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