; LLVM IR from HarshCasper/NeoAlgo :: C-Plus-Plus/cp/Max_Topology_short.ll (Z20Inverse_of_Factorialx)

; 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"

@Factorial_Number_Inverse = external dso_local global [500006 x i64], align 16
@Natural_Number_Inverse = external dso_local global [500006 x i64], align 16

; 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: mustprogress nounwind uwtable
define dso_local void @_Z20Inverse_of_Factorialx(i64 noundef %0) #1 {
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  store i64 %0, ptr %2, align 8, !tbaa !5
  store i64 1, ptr getelementptr inbounds ([500006 x i64], ptr @Factorial_Number_Inverse, i64 0, i64 1), align 8, !tbaa !5
  store i64 1, ptr @Factorial_Number_Inverse, align 16, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #2
  store i64 2, ptr %3, align 8, !tbaa !5
  br label %4

4:                                                ; preds = %21, %1
  %5 = load i64, ptr %3, align 8, !tbaa !5
  %6 = icmp sle i64 %5, 500005
  br i1 %6, label %8, label %7

7:                                                ; preds = %4
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #2
  br label %24

8:                                                ; preds = %4
  %9 = load i64, ptr %3, align 8, !tbaa !5
  %10 = getelementptr inbounds [500006 x i64], ptr @Natural_Number_Inverse, i64 0, i64 %9
  %11 = load i64, ptr %10, align 8, !tbaa !5
  %12 = load i64, ptr %3, align 8, !tbaa !5
  %13 = sub nsw i64 %12, 1
  %14 = getelementptr inbounds [500006 x i64], ptr @Factorial_Number_Inverse, i64 0, i64 %13
  %15 = load i64, ptr %14, align 8, !tbaa !5
  %16 = mul nsw i64 %11, %15
  %17 = load i64, ptr %2, align 8, !tbaa !5
  %18 = srem i64 %16, %17
  %19 = load i64, ptr %3, align 8, !tbaa !5
  %20 = getelementptr inbounds [500006 x i64], ptr @Factorial_Number_Inverse, i64 0, i64 %19
  store i64 %18, ptr %20, align 8, !tbaa !5
  br label %21

21:                                               ; preds = %8
  %22 = load i64, ptr %3, align 8, !tbaa !5
  %23 = add nsw i64 %22, 1
  store i64 %23, ptr %3, align 8, !tbaa !5
  br label %4, !llvm.loop !9

24:                                               ; preds = %7
  ret void
}

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

@Factorial_Number_Inverse = external dso_local local_unnamed_addr global [500006 x i64], align 16
@Natural_Number_Inverse = external dso_local local_unnamed_addr global [500006 x i64], align 16

; Function Attrs: mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) uwtable
define dso_local void @_Z20Inverse_of_Factorialx(i64 noundef %0) local_unnamed_addr #0 {
  store i64 1, ptr getelementptr inbounds (i8, ptr @Factorial_Number_Inverse, i64 8), align 8, !tbaa !5
  store i64 1, ptr @Factorial_Number_Inverse, align 16, !tbaa !5
  br label %3

2:                                                ; preds = %3
  ret void

3:                                                ; preds = %3, %1
  %4 = phi i64 [ 1, %1 ], [ %14, %3 ]
  %.06 = phi i64 [ 2, %1 ], [ %16, %3 ]
  %5 = getelementptr inbounds [500006 x i64], ptr @Natural_Number_Inverse, i64 0, i64 %.06
  %6 = load i64, ptr %5, align 16, !tbaa !5
  %7 = mul nsw i64 %4, %6
  %8 = srem i64 %7, %0
  %9 = getelementptr inbounds [500006 x i64], ptr @Factorial_Number_Inverse, i64 0, i64 %.06
  store i64 %8, ptr %9, align 16, !tbaa !5
  %10 = or disjoint i64 %.06, 1
  %11 = getelementptr inbounds [500006 x i64], ptr @Natural_Number_Inverse, i64 0, i64 %10
  %12 = load i64, ptr %11, align 8, !tbaa !5
  %13 = mul nsw i64 %8, %12
  %14 = srem i64 %13, %0
  %15 = getelementptr inbounds [500006 x i64], ptr @Factorial_Number_Inverse, i64 0, i64 %10
  store i64 %14, ptr %15, align 8, !tbaa !5
  %16 = add nuw nsw i64 %.06, 2
  %exitcond.not.1 = icmp eq i64 %16, 500006
  br i1 %exitcond.not.1, label %2, label %3, !llvm.loop !9
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: 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 = !{!6, !6, i64 0}
!6 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: BDCEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass