; LLVM IR from Dev-XYS/Algorithms :: Modular-Multiplicative-Inverse-Sieve(Factorial,Linear).ll (Z3facx)

; 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"

@p = external dso_local global i64, align 8

; 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
define dso_local noundef i64 @_Z3facx(i64 noundef %0) #1 {
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i32, align 4
  store i64 %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #2
  store i64 1, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #2
  store i32 2, ptr %4, align 4, !tbaa !9
  br label %5

5:                                                ; preds = %18, %1
  %6 = load i32, ptr %4, align 4, !tbaa !9
  %7 = sext i32 %6 to i64
  %8 = load i64, ptr %2, align 8, !tbaa !5
  %9 = icmp sle i64 %7, %8
  br i1 %9, label %11, label %10

10:                                               ; preds = %5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #2
  br label %21

11:                                               ; preds = %5
  %12 = load i64, ptr %3, align 8, !tbaa !5
  %13 = load i32, ptr %4, align 4, !tbaa !9
  %14 = sext i32 %13 to i64
  %15 = mul nsw i64 %12, %14
  %16 = load i64, ptr @p, align 8, !tbaa !5
  %17 = srem i64 %15, %16
  store i64 %17, ptr %3, align 8, !tbaa !5
  br label %18

18:                                               ; preds = %11
  %19 = load i32, ptr %4, align 4, !tbaa !9
  %20 = add nsw i32 %19, 1
  store i32 %20, ptr %4, align 4, !tbaa !9
  br label %5, !llvm.loop !11

21:                                               ; preds = %10
  %22 = load i64, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #2
  ret i64 %22
}

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 = { 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 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"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"

@p = external dso_local local_unnamed_addr global i64, align 8

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(read, argmem: none, inaccessiblemem: none) uwtable
define dso_local noundef i64 @_Z3facx(i64 noundef %0) local_unnamed_addr #0 {
  %.not8 = icmp slt i64 %0, 2
  br i1 %.not8, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %1
  %2 = load i64, ptr @p, align 8, !tbaa !5
  %3 = add nsw i64 %0, -1
  %4 = add nsw i64 %0, -2
  %xtraiter = and i64 %3, 3
  %5 = icmp ult i64 %4, 3
  br i1 %5, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %3, -4
  br label %8

._crit_edge.loopexit.unr-lcssa:                   ; preds = %8, %.lr.ph
  %.lcssa.ph = phi i64 [ poison, %.lr.ph ], [ %16, %8 ]
  %indvars.iv.unr = phi i64 [ 2, %.lr.ph ], [ %indvars.iv.next.3, %8 ]
  %.069.unr = phi i64 [ 1, %.lr.ph ], [ %16, %8 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.epil.preheader

.epil.preheader:                                  ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.epil.preheader ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.069.epil = phi i64 [ %7, %.epil.preheader ], [ %.069.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.epil.preheader ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %6 = mul nsw i64 %indvars.iv.epil, %.069.epil
  %7 = srem i64 %6, %2
  %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 %.epil.preheader, !llvm.loop !9

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader, %1
  %.06.lcssa = phi i64 [ 1, %1 ], [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %7, %.epil.preheader ]
  ret i64 %.06.lcssa

8:                                                ; preds = %8, %.lr.ph.new
  %indvars.iv = phi i64 [ 2, %.lr.ph.new ], [ %indvars.iv.next.3, %8 ]
  %.069 = phi i64 [ 1, %.lr.ph.new ], [ %16, %8 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.3, %8 ]
  %9 = mul nsw i64 %indvars.iv, %.069
  %10 = srem i64 %9, %2
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %11 = mul nsw i64 %indvars.iv.next, %10
  %12 = srem i64 %11, %2
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %13 = mul nsw i64 %indvars.iv.next.1, %12
  %14 = srem i64 %13, %2
  %indvars.iv.next.2 = add nuw nsw i64 %indvars.iv, 3
  %15 = mul nsw i64 %indvars.iv.next.2, %14
  %16 = srem i64 %15, %2
  %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 %8, !llvm.loop !11
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(read, argmem: none, inaccessiblemem: 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 = !{!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.unroll.disable"}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


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