; LLVM IR from ShahjalalShohag/code-library :: Math/q Binomial.ll (Z6q_permii)

; 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: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #0 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) #1

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

; Function Attrs: mustprogress uwtable
define dso_local i32 @_Z6q_permii(i32 noundef %0, i32 noundef %1) #3 {
  %3 = alloca %struct.modint, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca %struct.modint, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %7 = load i32, ptr %4, align 4, !tbaa !5
  %8 = load i32, ptr %5, align 4, !tbaa !5
  %9 = icmp slt i32 %7, %8
  br i1 %9, label %10, label %11

10:                                               ; preds = %2
  call void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %3, i32 noundef 0)
  br label %24

11:                                               ; preds = %2
  %12 = load i32, ptr %4, align 4, !tbaa !5
  %13 = sext i32 %12 to i64
  %14 = getelementptr inbounds [262144 x %struct.modint], ptr @q_fac, i64 0, i64 %13
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = load i32, ptr %5, align 4, !tbaa !5
  %17 = sub nsw i32 %15, %16
  %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 %6, ptr align 4 %19, i64 4, i1 false), !tbaa.struct !9
  %20 = getelementptr inbounds %struct.modint, ptr %6, i32 0, i32 0
  %21 = load i32, ptr %20, align 4
  %22 = call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %14, i32 %21)
  %23 = getelementptr inbounds %struct.modint, ptr %3, i32 0, i32 0
  store i32 %22, ptr %23, align 4
  br label %24

24:                                               ; preds = %11, %10
  %25 = getelementptr inbounds %struct.modint, ptr %3, i32 0, i32 0
  %26 = load i32, ptr %25, align 4
  ret i32 %26
}

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 nounwind willreturn memory(argmem: readwrite) }
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" }

!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 nounwind uwtable
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4), i32) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress uwtable
define dso_local i32 @_Z6q_permii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #2 {
  %3 = alloca %struct.modint, align 4
  %4 = icmp slt i32 %0, %1
  br i1 %4, label %5, label %6

5:                                                ; 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 %13

6:                                                ; preds = %2
  %7 = sext i32 %0 to i64
  %8 = getelementptr inbounds [262144 x %struct.modint], ptr @q_fac, i64 0, i64 %7
  %9 = sub nsw i32 %0, %1
  %10 = sext i32 %9 to i64
  %11 = getelementptr inbounds [262144 x %struct.modint], ptr @q_inv_fac, i64 0, i64 %10
  %.sroa.0.0.copyload = load i32, ptr %11, align 4, !tbaa !5
  %12 = tail call i32 @_ZNK6modintILi998244353EEmlES0_(ptr noundef nonnull align 4 dereferenceable(4) %8, i32 %.sroa.0.0.copyload)
  br label %13

13:                                               ; preds = %6, %5
  %14 = phi i32 [ %12, %6 ], [ %.pre, %5 ]
  ret i32 %14
}

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 = { 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 #2 = { 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" }

!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,SROAPass,TailCallElimPass