; LLVM IR from ncduy0303/Competitive-Programming :: Mathematics/Binomial Coefficients.ll (Z4qexpxxx)

; 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 @_Z4qexpxxx(i64 noundef %0, i64 noundef %1, i64 noundef %2) #0 {
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  store i64 %0, ptr %4, align 8, !tbaa !5
  store i64 %1, ptr %5, align 8, !tbaa !5
  store i64 %2, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #2
  store i64 1, ptr %7, align 8, !tbaa !5
  br label %8

8:                                                ; preds = %21, %3
  %9 = load i64, ptr %5, align 8, !tbaa !5
  %10 = icmp ne i64 %9, 0
  br i1 %10, label %11, label %29

11:                                               ; preds = %8
  %12 = load i64, ptr %5, align 8, !tbaa !5
  %13 = srem i64 %12, 2
  %14 = icmp ne i64 %13, 0
  br i1 %14, label %15, label %21

15:                                               ; preds = %11
  %16 = load i64, ptr %7, align 8, !tbaa !5
  %17 = load i64, ptr %4, align 8, !tbaa !5
  %18 = mul nsw i64 %16, %17
  %19 = load i64, ptr %6, align 8, !tbaa !5
  %20 = srem i64 %18, %19
  store i64 %20, ptr %7, align 8, !tbaa !5
  br label %21

21:                                               ; preds = %15, %11
  %22 = load i64, ptr %4, align 8, !tbaa !5
  %23 = load i64, ptr %4, align 8, !tbaa !5
  %24 = mul nsw i64 %22, %23
  %25 = load i64, ptr %6, align 8, !tbaa !5
  %26 = srem i64 %24, %25
  store i64 %26, ptr %4, align 8, !tbaa !5
  %27 = load i64, ptr %5, align 8, !tbaa !5
  %28 = sdiv i64 %27, 2
  store i64 %28, ptr %5, align 8, !tbaa !5
  br label %8, !llvm.loop !9

29:                                               ; preds = %8
  %30 = load i64, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #2
  ret i64 %30
}

; 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 @_Z4qexpxxx(i64 noundef %0, i64 noundef %1, i64 noundef %2) local_unnamed_addr #0 {
  %.not13 = icmp eq i64 %1, 0
  br i1 %.not13, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %3, %8
  %.016 = phi i64 [ %.1, %8 ], [ 1, %3 ]
  %.01015 = phi i64 [ %10, %8 ], [ %0, %3 ]
  %.01114 = phi i64 [ %11, %8 ], [ %1, %3 ]
  %4 = and i64 %.01114, 1
  %.not12 = icmp eq i64 %4, 0
  br i1 %.not12, label %8, label %5

5:                                                ; preds = %.lr.ph
  %6 = mul nsw i64 %.016, %.01015
  %7 = srem i64 %6, %2
  br label %8

8:                                                ; preds = %5, %.lr.ph
  %.1 = phi i64 [ %7, %5 ], [ %.016, %.lr.ph ]
  %9 = mul nsw i64 %.01015, %.01015
  %10 = srem i64 %9, %2
  %11 = sdiv i64 %.01114, 2
  %.01114.off = add i64 %.01114, 1
  %.not = icmp ult i64 %.01114.off, 3
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !5

._crit_edge:                                      ; preds = %8, %3
  %.0.lcssa = phi i64 [ 1, %3 ], [ %.1, %8 ]
  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,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass