; LLVM IR from ADJA/algos :: NumberTheory (PermutationByNumber)

; 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"

@n = external dso_local global i32, align 4
@num = external dso_local global i32, align 4
@f = external dso_local global [20 x i32], align 16
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z19permutationByNumberii(i32 noundef, i32 noundef) #0

; 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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %3 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef @n)
  %4 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef @num)
  store i32 1, ptr @f, align 16, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #4
  store i32 1, ptr %2, align 4, !tbaa !5
  br label %5

5:                                                ; preds = %21, %0
  %6 = load i32, ptr %2, align 4, !tbaa !5
  %7 = load i32, ptr @n, align 4, !tbaa !5
  %8 = icmp sle i32 %6, %7
  br i1 %8, label %10, label %9

9:                                                ; preds = %5
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #4
  br label %24

10:                                               ; preds = %5
  %11 = load i32, ptr %2, align 4, !tbaa !5
  %12 = sub nsw i32 %11, 1
  %13 = sext i32 %12 to i64
  %14 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %13
  %15 = load i32, ptr %14, align 4, !tbaa !5
  %16 = load i32, ptr %2, align 4, !tbaa !5
  %17 = mul nsw i32 %15, %16
  %18 = load i32, ptr %2, align 4, !tbaa !5
  %19 = sext i32 %18 to i64
  %20 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %19
  store i32 %17, ptr %20, align 4, !tbaa !5
  br label %21

21:                                               ; preds = %10
  %22 = load i32, ptr %2, align 4, !tbaa !5
  %23 = add nsw i32 %22, 1
  store i32 %23, ptr %2, align 4, !tbaa !5
  br label %5, !llvm.loop !9

24:                                               ; preds = %9
  %25 = load i32, ptr @n, align 4, !tbaa !5
  %26 = load i32, ptr @num, align 4, !tbaa !5
  call void @_Z19permutationByNumberii(i32 noundef %25, i32 noundef %26)
  ret i32 0
}

declare i32 @__isoc99_scanf(ptr noundef, ...) #3

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress norecurse 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 = { "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"}
!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"

@n = external dso_local global i32, align 4
@num = external dso_local global i32, align 4
@f = external dso_local local_unnamed_addr global [20 x i32], align 16
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z19permutationByNumberii(i32 noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = tail call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull @n)
  %2 = tail call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull @num)
  store i32 1, ptr @f, align 16, !tbaa !5
  %3 = load i32, ptr @n, align 4, !tbaa !5
  %.not6 = icmp slt i32 %3, 1
  br i1 %.not6, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %0
  %4 = zext nneg i32 %3 to i64
  %xtraiter = and i64 %4, 3
  %5 = icmp ult i32 %3, 4
  br i1 %5, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i64 %4, 2147483644
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.unr = phi i32 [ 1, %.lr.ph.preheader ], [ %22, %.lr.ph ]
  %indvars.iv.unr = phi i64 [ 1, %.lr.ph.preheader ], [ %indvars.iv.next.3, %.lr.ph ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil
  %6 = phi i32 [ %8, %.lr.ph.epil ], [ %.unr, %._crit_edge.loopexit.unr-lcssa ]
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.lr.ph.epil ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.lr.ph.epil ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %7 = trunc nuw nsw i64 %indvars.iv.epil to i32
  %8 = mul nsw i32 %6, %7
  %9 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %indvars.iv.epil
  store i32 %8, ptr %9, align 4, !tbaa !5
  %indvars.iv.next.epil = add nuw nsw i64 %indvars.iv.epil, 1
  %epil.iter.next = add i64 %epil.iter, 1
  %epil.iter.cmp.not = icmp eq i64 %epil.iter.next, %xtraiter
  br i1 %epil.iter.cmp.not, label %._crit_edge, label %.lr.ph.epil, !llvm.loop !9

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil, %0
  %10 = load i32, ptr @num, align 4, !tbaa !5
  tail call void @_Z19permutationByNumberii(i32 noundef %3, i32 noundef %10)
  ret i32 0

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %11 = phi i32 [ 1, %.lr.ph.preheader.new ], [ %22, %.lr.ph ]
  %indvars.iv = phi i64 [ 1, %.lr.ph.preheader.new ], [ %indvars.iv.next.3, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.3, %.lr.ph ]
  %12 = trunc nuw nsw i64 %indvars.iv to i32
  %13 = mul nsw i32 %11, %12
  %14 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %indvars.iv
  store i32 %13, ptr %14, align 4, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %15 = trunc nuw nsw i64 %indvars.iv.next to i32
  %16 = mul nsw i32 %13, %15
  %17 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %indvars.iv.next
  store i32 %16, ptr %17, align 4, !tbaa !5
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %18 = trunc nuw nsw i64 %indvars.iv.next.1 to i32
  %19 = mul nsw i32 %16, %18
  %20 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %indvars.iv.next.1
  store i32 %19, ptr %20, align 4, !tbaa !5
  %indvars.iv.next.2 = add nuw nsw i64 %indvars.iv, 3
  %21 = trunc nuw nsw i64 %indvars.iv.next.2 to i32
  %22 = mul nsw i32 %19, %21
  %23 = getelementptr inbounds [20 x i32], ptr @f, i64 0, i64 %indvars.iv.next.2
  store i32 %22, ptr %23, align 4, !tbaa !5
  %indvars.iv.next.3 = add nuw nsw i64 %indvars.iv, 4
  %niter.next.3 = add i64 %niter, 4
  %niter.ncmp.3 = icmp eq i64 %niter.next.3, %unroll_iter
  br i1 %niter.ncmp.3, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph, !llvm.loop !11
}

; Function Attrs: nofree nounwind
declare noundef i32 @__isoc99_scanf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

attributes #0 = { 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 #1 = { mustprogress norecurse 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 = { nofree nounwind "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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.unroll.disable"}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: BDCEPass,EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass