; LLVM IR from HarshCasper/NeoAlgo :: C-Plus-Plus/math/binomial_coefficient_under_modulo.ll (Z7inversexx)

; 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 i64 @_Z7inversexx(i64 noundef %0, i64 noundef %1) #0 {
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  store i64 %0, ptr %3, align 8, !tbaa !5
  store i64 %1, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #2
  %7 = load i64, ptr %4, align 8, !tbaa !5
  %8 = sub nsw i64 %7, 2
  store i64 %8, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #2
  store i64 1, ptr %6, align 8, !tbaa !5
  br label %9

9:                                                ; preds = %22, %2
  %10 = load i64, ptr %5, align 8, !tbaa !5
  %11 = icmp sgt i64 %10, 0
  br i1 %11, label %12, label %30

12:                                               ; preds = %9
  %13 = load i64, ptr %5, align 8, !tbaa !5
  %14 = srem i64 %13, 2
  %15 = icmp eq i64 %14, 1
  br i1 %15, label %16, label %22

16:                                               ; preds = %12
  %17 = load i64, ptr %6, align 8, !tbaa !5
  %18 = load i64, ptr %3, align 8, !tbaa !5
  %19 = mul nsw i64 %17, %18
  %20 = load i64, ptr %4, align 8, !tbaa !5
  %21 = srem i64 %19, %20
  store i64 %21, ptr %6, align 8, !tbaa !5
  br label %22

22:                                               ; preds = %16, %12
  %23 = load i64, ptr %3, align 8, !tbaa !5
  %24 = load i64, ptr %3, align 8, !tbaa !5
  %25 = mul nsw i64 %23, %24
  %26 = load i64, ptr %4, align 8, !tbaa !5
  %27 = srem i64 %25, %26
  store i64 %27, ptr %3, align 8, !tbaa !5
  %28 = load i64, ptr %5, align 8, !tbaa !5
  %29 = sdiv i64 %28, 2
  store i64 %29, ptr %5, align 8, !tbaa !5
  br label %9, !llvm.loop !9

30:                                               ; preds = %9
  %31 = load i64, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #2
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #2
  ret i64 %31
}

; 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 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"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef i64 @_Z7inversexx(i64 noundef %0, i64 noundef %1) local_unnamed_addr #0 {
  %3 = icmp sgt i64 %1, 2
  br i1 %3, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %2
  %4 = add nsw i64 %1, -2
  br label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph.preheader, %9
  %.015 = phi i64 [ %.1, %9 ], [ 1, %.lr.ph.preheader ]
  %.01114 = phi i64 [ %12, %9 ], [ %4, %.lr.ph.preheader ]
  %.01213 = phi i64 [ %11, %9 ], [ %0, %.lr.ph.preheader ]
  %5 = and i64 %.01114, 1
  %.not = icmp eq i64 %5, 0
  br i1 %.not, label %9, label %6

6:                                                ; preds = %.lr.ph
  %7 = mul nsw i64 %.015, %.01213
  %8 = srem i64 %7, %1
  br label %9

9:                                                ; preds = %6, %.lr.ph
  %.1 = phi i64 [ %8, %6 ], [ %.015, %.lr.ph ]
  %10 = mul nsw i64 %.01213, %.01213
  %11 = urem i64 %10, %1
  %12 = lshr i64 %.01114, 1
  %.not16 = icmp ult i64 %.01114, 2
  br i1 %.not16, label %._crit_edge, label %.lr.ph, !llvm.loop !5

._crit_edge:                                      ; preds = %9, %2
  %.0.lcssa = phi i64 [ 1, %2 ], [ %.1, %9 ]
  ret i64 %.0.lcssa
}

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: GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass