; LLVM IR from sgtlaugh/algovault :: code_library/miller_rabin.ll (ZN3prm21is_probable_compositeEixi)

; 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: 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 uwtable
declare dso_local noundef i64 @_ZN3prm4expoExxx(i64 noundef, i64 noundef, i64 noundef) #1

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZN3prm11fast_modmulExxx(i64 noundef, i64 noundef, i64 noundef) #2

; Function Attrs: mustprogress uwtable
define dso_local noundef zeroext i1 @_ZN3prm21is_probable_compositeEixi(i32 noundef %0, i64 noundef %1, i32 noundef %2) #1 {
  %4 = alloca i1, align 1
  %5 = alloca i32, align 4
  %6 = alloca i64, align 8
  %7 = alloca i32, align 4
  %8 = alloca i64, align 8
  %9 = alloca i32, align 4
  %10 = alloca i32, align 4
  store i32 %0, ptr %5, align 4, !tbaa !5
  store i64 %1, ptr %6, align 8, !tbaa !9
  store i32 %2, ptr %7, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #3
  %11 = load i32, ptr %5, align 4, !tbaa !5
  %12 = sext i32 %11 to i64
  %13 = load i64, ptr %6, align 8, !tbaa !9
  %14 = sub nsw i64 %13, 1
  %15 = load i32, ptr %7, align 4, !tbaa !5
  %16 = zext i32 %15 to i64
  %17 = ashr i64 %14, %16
  %18 = load i64, ptr %6, align 8, !tbaa !9
  %19 = call noundef i64 @_ZN3prm4expoExxx(i64 noundef %12, i64 noundef %17, i64 noundef %18)
  store i64 %19, ptr %8, align 8, !tbaa !9
  %20 = load i64, ptr %8, align 8, !tbaa !9
  %21 = icmp eq i64 %20, 1
  br i1 %21, label %22, label %23

22:                                               ; preds = %3
  store i1 false, ptr %4, align 1
  store i32 1, ptr %9, align 4
  br label %46

23:                                               ; preds = %3
  call void @llvm.lifetime.start.p0(i64 4, ptr %10) #3
  store i32 0, ptr %10, align 4, !tbaa !5
  br label %24

24:                                               ; preds = %40, %23
  %25 = load i32, ptr %10, align 4, !tbaa !5
  %26 = load i32, ptr %7, align 4, !tbaa !5
  %27 = icmp slt i32 %25, %26
  br i1 %27, label %29, label %28

28:                                               ; preds = %24
  store i32 2, ptr %9, align 4
  br label %43

29:                                               ; preds = %24
  %30 = load i64, ptr %8, align 8, !tbaa !9
  %31 = load i64, ptr %6, align 8, !tbaa !9
  %32 = sub nsw i64 %31, 1
  %33 = icmp eq i64 %30, %32
  br i1 %33, label %34, label %35

34:                                               ; preds = %29
  store i1 false, ptr %4, align 1
  store i32 1, ptr %9, align 4
  br label %43

35:                                               ; preds = %29
  %36 = load i64, ptr %8, align 8, !tbaa !9
  %37 = load i64, ptr %8, align 8, !tbaa !9
  %38 = load i64, ptr %6, align 8, !tbaa !9
  %39 = call noundef i64 @_ZN3prm11fast_modmulExxx(i64 noundef %36, i64 noundef %37, i64 noundef %38)
  store i64 %39, ptr %8, align 8, !tbaa !9
  br label %40

40:                                               ; preds = %35
  %41 = load i32, ptr %10, align 4, !tbaa !5
  %42 = add nsw i32 %41, 1
  store i32 %42, ptr %10, align 4, !tbaa !5
  br label %24, !llvm.loop !11

43:                                               ; preds = %34, %28
  call void @llvm.lifetime.end.p0(i64 4, ptr %10) #3
  %44 = load i32, ptr %9, align 4
  switch i32 %44, label %46 [
    i32 2, label %45
  ]

45:                                               ; preds = %43
  store i1 true, ptr %4, align 1
  store i32 1, ptr %9, align 4
  br label %46

46:                                               ; preds = %45, %43, %22
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  %47 = load i1, ptr %4, align 1
  ret i1 %47
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { inlinehint 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 #3 = { 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 = !{!10, !10, i64 0}
!10 = !{!"long long", !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"

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_ZN3prm4expoExxx(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #0

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZN3prm11fast_modmulExxx(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
define dso_local noundef zeroext i1 @_ZN3prm21is_probable_compositeEixi(i32 noundef %0, i64 noundef %1, i32 noundef %2) local_unnamed_addr #0 {
  %4 = sext i32 %0 to i64
  %5 = add nsw i64 %1, -1
  %6 = zext nneg i32 %2 to i64
  %7 = ashr i64 %5, %6
  %8 = tail call noundef i64 @_ZN3prm4expoExxx(i64 noundef %4, i64 noundef %7, i64 noundef %1)
  %9 = icmp eq i64 %8, 1
  br i1 %9, label %.loopexit, label %.preheader

.preheader:                                       ; preds = %3
  %.not18 = icmp slt i32 %2, 1
  %10 = icmp eq i64 %8, %5
  %or.cond19 = or i1 %10, %.not18
  br i1 %or.cond19, label %.loopexit, label %.lr.ph

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  %.021 = phi i32 [ %12, %.lr.ph ], [ 0, %.preheader ]
  %.01520 = phi i64 [ %11, %.lr.ph ], [ %8, %.preheader ]
  %11 = tail call noundef i64 @_ZN3prm11fast_modmulExxx(i64 noundef %.01520, i64 noundef %.01520, i64 noundef %1)
  %12 = add nuw nsw i32 %.021, 1
  %.not = icmp sge i32 %12, %2
  %13 = icmp eq i64 %11, %5
  %or.cond = or i1 %13, %.not
  br i1 %or.cond, label %.loopexit, label %.lr.ph, !llvm.loop !5

.loopexit:                                        ; preds = %.lr.ph, %.preheader, %3
  %.1 = phi i1 [ false, %3 ], [ %.not18, %.preheader ], [ %.not, %.lr.ph ]
  ret i1 %.1
}

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 = { inlinehint 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" }

!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: EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass