; LLVM IR from ShahjalalShohag/code-library :: Number Theory (Multiplicative Order)

; 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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", 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 uwtable
declare dso_local noundef i64 @_Z20multiplicative_orderxx(i64 noundef, i64 noundef) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZSt5__gcdIxET_S0_S0_(i64 noundef, i64 noundef) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #3 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i64, align 8
  %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 i32 0, ptr %1, align 4
  %9 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %10 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %11 = getelementptr i8, ptr %10, i64 -24
  %12 = load i64, ptr %11, align 8
  %13 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %12
  %14 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %13, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  br label %16

16:                                               ; preds = %33, %0
  %17 = load i32, ptr %2, align 4, !tbaa !8
  %18 = add nsw i32 %17, -1
  store i32 %18, ptr %2, align 4, !tbaa !8
  %19 = icmp ne i32 %17, 0
  br i1 %19, label %20, label %49

20:                                               ; preds = %16
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  %21 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %22 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %21, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  %23 = load i64, ptr %3, align 8, !tbaa !11
  store i64 %23, ptr %5, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #6
  %24 = load i64, ptr %3, align 8, !tbaa !11
  store i64 %24, ptr %6, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #6
  store i64 1, ptr %7, align 8, !tbaa !11
  br label %25

25:                                               ; preds = %28, %20
  %26 = load i64, ptr %3, align 8, !tbaa !11
  %27 = icmp sgt i64 %26, 0
  br i1 %27, label %28, label %33

28:                                               ; preds = %25
  %29 = load i64, ptr %3, align 8, !tbaa !11
  %30 = sdiv i64 %29, 10
  store i64 %30, ptr %3, align 8, !tbaa !11
  %31 = load i64, ptr %7, align 8, !tbaa !11
  %32 = mul nsw i64 %31, 10
  store i64 %32, ptr %7, align 8, !tbaa !11
  br label %25, !llvm.loop !13

33:                                               ; preds = %25
  %34 = load i64, ptr %7, align 8, !tbaa !11
  %35 = sub nsw i64 %34, 1
  %36 = load i64, ptr %4, align 8, !tbaa !11
  %37 = mul nsw i64 %36, %35
  store i64 %37, ptr %4, align 8, !tbaa !11
  %38 = load i64, ptr %4, align 8, !tbaa !11
  %39 = load i64, ptr %6, align 8, !tbaa !11
  %40 = call noundef i64 @_ZSt5__gcdIxET_S0_S0_(i64 noundef %38, i64 noundef %39)
  %41 = load i64, ptr %4, align 8, !tbaa !11
  %42 = sdiv i64 %41, %40
  store i64 %42, ptr %4, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #6
  %43 = load i64, ptr %7, align 8, !tbaa !11
  %44 = load i64, ptr %4, align 8, !tbaa !11
  %45 = call noundef i64 @_Z20multiplicative_orderxx(i64 noundef %43, i64 noundef %44)
  store i64 %45, ptr %8, align 8, !tbaa !11
  %46 = load i64, ptr %8, align 8, !tbaa !11
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %46)
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %47, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  br label %16, !llvm.loop !15

49:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #4

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #2 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #1 align 2

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 = { 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 = { 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 #4 = { "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 #5 = { 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 #6 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; 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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress 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 @_Z20multiplicative_orderxx(i64 noundef, i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZSt5__gcdIxET_S0_S0_(i64 noundef, i64 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %10 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %11 = load i32, ptr %1, align 4, !tbaa !8
  %12 = add nsw i32 %11, -1
  store i32 %12, ptr %1, align 4, !tbaa !8
  %.not7 = icmp eq i32 %11, 0
  br i1 %.not7, label %._crit_edge10, label %.lr.ph9

.lr.ph9:                                          ; preds = %0, %20
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #6
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %13, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %15 = load i64, ptr %2, align 8, !tbaa !11
  %16 = icmp sgt i64 %15, 0
  br i1 %16, label %.lr.ph, label %20

.lr.ph:                                           ; preds = %.lr.ph9, %.lr.ph
  %.06 = phi i64 [ %19, %.lr.ph ], [ 1, %.lr.ph9 ]
  %17 = phi i64 [ %18, %.lr.ph ], [ %15, %.lr.ph9 ]
  %18 = udiv i64 %17, 10
  %19 = mul nuw nsw i64 %.06, 10
  %.not11 = icmp ult i64 %17, 10
  br i1 %.not11, label %._crit_edge, label %.lr.ph, !llvm.loop !13

._crit_edge:                                      ; preds = %.lr.ph
  store i64 %18, ptr %2, align 8, !tbaa !11
  br label %20

20:                                               ; preds = %._crit_edge, %.lr.ph9
  %.0.lcssa = phi i64 [ %19, %._crit_edge ], [ 1, %.lr.ph9 ]
  %21 = add nsw i64 %.0.lcssa, -1
  %22 = load i64, ptr %3, align 8, !tbaa !11
  %23 = mul nsw i64 %22, %21
  store i64 %23, ptr %3, align 8, !tbaa !11
  %24 = call noundef i64 @_ZSt5__gcdIxET_S0_S0_(i64 noundef %23, i64 noundef %15)
  %25 = load i64, ptr %3, align 8, !tbaa !11
  %26 = sdiv i64 %25, %24
  store i64 %26, ptr %3, align 8, !tbaa !11
  %27 = call noundef i64 @_Z20multiplicative_orderxx(i64 noundef %.0.lcssa, i64 noundef %26)
  %28 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %27)
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %28, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #6
  %30 = load i32, ptr %1, align 4, !tbaa !8
  %31 = add nsw i32 %30, -1
  store i32 %31, ptr %1, align 4, !tbaa !8
  %.not = icmp eq i32 %30, 0
  br i1 %.not, label %._crit_edge10, label %.lr.ph9, !llvm.loop !15

._crit_edge10:                                    ; preds = %20, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #4

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #2 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #1 align 2

attributes #0 = { mustprogress 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 = { 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 = { 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 #4 = { "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 #5 = { 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 #6 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


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