; LLVM IR from ShahjalalShohag/code-library :: Math/q Binomial.ll (Z7q_binomii)

; 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"

%struct.modint = type { i32 }

@q_fac = external dso_local global [262144 x %struct.modint], align 16
@q_inv_fac = external dso_local global [262144 x %struct.modint], 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
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #1 align 2

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4), i32) #3 align 2

; Function Attrs: mustprogress uwtable
define dso_local i32 @_Z7q_binomii(i32 noundef %0, i32 noundef %1) #4 {
  %3 = alloca %struct.modint, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca %struct.modint, align 4
  %7 = alloca %struct.modint, align 4
  %8 = alloca %struct.modint, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %9 = load i32, ptr %4, align 4, !tbaa !5
  %10 = load i32, ptr %5, align 4, !tbaa !5
  %11 = icmp slt i32 %9, %10
  br i1 %11, label %12, label %13

12:                                               ; preds = %2
  call void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %3, i32 noundef 0)
  br label %33

13:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #5
  %14 = load i32, ptr %4, align 4, !tbaa !5
  %15 = sext i32 %14 to i64
  %16 = getelementptr inbounds [262144 x %struct.modint], ptr @q_fac, i64 0, i64 %15
  %17 = load i32, ptr %5, align 4, !tbaa !5
  %18 = sext i32 %17 to i64
  %19 = getelementptr inbounds [262144 x %struct.modint], ptr @q_inv_fac, i64 0, i64 %18
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %7, ptr align 4 %19, i64 4, i1 false), !tbaa.struct !9
  %20 = getelementptr inbounds %struct.modint, ptr %7, i32 0, i32 0
  %21 = load i32, ptr %20, align 4
  %22 = call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %16, i32 %21)
  %23 = getelementptr inbounds %struct.modint, ptr %6, i32 0, i32 0
  store i32 %22, ptr %23, align 4
  %24 = load i32, ptr %4, align 4, !tbaa !5
  %25 = load i32, ptr %5, align 4, !tbaa !5
  %26 = sub nsw i32 %24, %25
  %27 = sext i32 %26 to i64
  %28 = getelementptr inbounds [262144 x %struct.modint], ptr @q_inv_fac, i64 0, i64 %27
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %8, ptr align 4 %28, i64 4, i1 false), !tbaa.struct !9
  %29 = getelementptr inbounds %struct.modint, ptr %8, i32 0, i32 0
  %30 = load i32, ptr %29, align 4
  %31 = call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %6, i32 %30)
  %32 = getelementptr inbounds %struct.modint, ptr %3, i32 0, i32 0
  store i32 %31, ptr %32, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #5
  br label %33

33:                                               ; preds = %13, %12
  %34 = getelementptr inbounds %struct.modint, ptr %3, i32 0, i32 0
  %35 = load i32, ptr %34, align 4
  ret i32 %35
}

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 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { inlinehint mustprogress 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 #4 = { mustprogress 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 #5 = { 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++ TBAA"}
!9 = !{i64 0, i64 4, !5}


; 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"

%struct.modint = type { i32 }

@q_fac = external dso_local global [262144 x %struct.modint], align 16
@q_inv_fac = external dso_local local_unnamed_addr global [262144 x %struct.modint], align 16

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4), i32) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
define dso_local i32 @_Z7q_binomii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #3 {
  %3 = alloca %struct.modint, align 4
  %4 = alloca %struct.modint, align 4
  %5 = icmp slt i32 %0, %1
  br i1 %5, label %6, label %7

6:                                                ; preds = %2
  call void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %3, i32 noundef 0)
  %.pre = load i32, ptr %3, align 4
  br label %17

7:                                                ; preds = %2
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #4
  %8 = sext i32 %0 to i64
  %9 = getelementptr inbounds [262144 x %struct.modint], ptr @q_fac, i64 0, i64 %8
  %10 = sext i32 %1 to i64
  %11 = getelementptr inbounds [262144 x %struct.modint], ptr @q_inv_fac, i64 0, i64 %10
  %.sroa.01.0.copyload = load i32, ptr %11, align 4, !tbaa !5
  %12 = tail call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %9, i32 %.sroa.01.0.copyload)
  store i32 %12, ptr %4, align 4
  %13 = sub nsw i32 %0, %1
  %14 = sext i32 %13 to i64
  %15 = getelementptr inbounds [262144 x %struct.modint], ptr @q_inv_fac, i64 0, i64 %14
  %.sroa.0.0.copyload = load i32, ptr %15, align 4, !tbaa !5
  %16 = call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %4, i32 %.sroa.0.0.copyload)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #4
  br label %17

17:                                               ; preds = %7, %6
  %18 = phi i32 [ %16, %7 ], [ %.pre, %6 ]
  ret i32 %18
}

attributes #0 = { mustprogress 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 = { inlinehint mustprogress 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 = { mustprogress 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 #4 = { 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++ TBAA"}


; Effective O3 passes: DSEPass,EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,SROAPass,TailCallElimPass