; LLVM IR from ayush-tulsyan/ACM-ICPC-Handbook :: code/MillerRabin.ll (Z21ModularMultiplicationxxx)

; 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 nounwind uwtable
define dso_local noundef i64 @_Z21ModularMultiplicationxxx(i64 noundef %0, i64 noundef %1, i64 noundef %2) #1 {
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  %8 = alloca i64, align 8
  store i64 %0, ptr %4, align 8, !tbaa !5
  store i64 %1, ptr %5, align 8, !tbaa !5
  store i64 %2, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #2
  store i64 0, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #2
  %9 = load i64, ptr %4, align 8, !tbaa !5
  store i64 %9, ptr %8, align 8, !tbaa !5
  br label %10

10:                                               ; preds = %23, %3
  %11 = load i64, ptr %5, align 8, !tbaa !5
  %12 = icmp ne i64 %11, 0
  br i1 %12, label %13, label %31

13:                                               ; preds = %10
  %14 = load i64, ptr %5, align 8, !tbaa !5
  %15 = and i64 %14, 1
  %16 = icmp ne i64 %15, 0
  br i1 %16, label %17, label %23

17:                                               ; preds = %13
  %18 = load i64, ptr %7, align 8, !tbaa !5
  %19 = load i64, ptr %8, align 8, !tbaa !5
  %20 = add nsw i64 %18, %19
  %21 = load i64, ptr %6, align 8, !tbaa !5
  %22 = srem i64 %20, %21
  store i64 %22, ptr %7, align 8, !tbaa !5
  br label %23

23:                                               ; preds = %17, %13
  %24 = load i64, ptr %5, align 8, !tbaa !5
  %25 = ashr i64 %24, 1
  store i64 %25, ptr %5, align 8, !tbaa !5
  %26 = load i64, ptr %8, align 8, !tbaa !5
  %27 = load i64, ptr %8, align 8, !tbaa !5
  %28 = add nsw i64 %26, %27
  %29 = load i64, ptr %6, align 8, !tbaa !5
  %30 = srem i64 %28, %29
  store i64 %30, ptr %8, align 8, !tbaa !5
  br label %10, !llvm.loop !9

31:                                               ; preds = %10
  %32 = load i64, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #2
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #2
  ret i64 %32
}

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 = 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"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef i64 @_Z21ModularMultiplicationxxx(i64 noundef %0, i64 noundef %1, i64 noundef %2) local_unnamed_addr #0 {
  %.not14 = icmp eq i64 %1, 0
  br i1 %.not14, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %3, %8
  %.017 = phi i64 [ %11, %8 ], [ %0, %3 ]
  %.01116 = phi i64 [ %.1, %8 ], [ 0, %3 ]
  %.01215 = phi i64 [ %9, %8 ], [ %1, %3 ]
  %4 = and i64 %.01215, 1
  %.not13 = icmp eq i64 %4, 0
  br i1 %.not13, label %8, label %5

5:                                                ; preds = %.lr.ph
  %6 = add nsw i64 %.017, %.01116
  %7 = srem i64 %6, %2
  br label %8

8:                                                ; preds = %5, %.lr.ph
  %.1 = phi i64 [ %7, %5 ], [ %.01116, %.lr.ph ]
  %9 = ashr i64 %.01215, 1
  %10 = shl nsw i64 %.017, 1
  %11 = srem i64 %10, %2
  %.not = icmp ult i64 %.01215, 2
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !5

._crit_edge:                                      ; preds = %8, %3
  %.011.lcssa = phi i64 [ 0, %3 ], [ %.1, %8 ]
  ret i64 %.011.lcssa
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


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