; LLVM IR from sgtlaugh/algovault :: code_library/linear_recurrence.ll (ZN2nt25chinese_remainder_theoremESt6vectorIiSaIiEES2_)

; 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.__gnu_cxx::__normal_iterator" = type { ptr }

; 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 i32 @_ZN2nt11mod_inverseEii(i32 noundef, i32 noundef) #1

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_ZN2nt25chinese_remainder_theoremESt6vectorIiSaIiEES2_(ptr noundef %0, ptr noundef %1) #1 {
  %3 = alloca ptr, align 8
  %4 = alloca ptr, align 8
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca ptr, align 8
  %9 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %10 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %11 = alloca i32, align 4
  %12 = alloca i64, align 8
  %13 = alloca i64, align 8
  store ptr %0, ptr %3, align 8, !tbaa !5
  store ptr %1, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #4
  store i32 0, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #4
  store i32 1, ptr %7, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #4
  store ptr %1, ptr %8, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #4
  %14 = load ptr, ptr %8, align 8, !tbaa !5
  %15 = call ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) %14) #4
  %16 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %9, i32 0, i32 0
  store ptr %15, ptr %16, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #4
  %17 = load ptr, ptr %8, align 8, !tbaa !5
  %18 = call ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) %17) #4
  %19 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %10, i32 0, i32 0
  store ptr %18, ptr %19, align 8
  br label %20

20:                                               ; preds = %29, %2
  %21 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %9, ptr noundef nonnull align 8 dereferenceable(8) %10) #4
  br i1 %21, label %23, label %22

22:                                               ; preds = %20
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  br label %31

23:                                               ; preds = %20
  call void @llvm.lifetime.start.p0(i64 4, ptr %11) #4
  %24 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %9) #4
  %25 = load i32, ptr %24, align 4, !tbaa !9
  store i32 %25, ptr %11, align 4, !tbaa !9
  %26 = load i32, ptr %11, align 4, !tbaa !9
  %27 = load i32, ptr %7, align 4, !tbaa !9
  %28 = mul nsw i32 %27, %26
  store i32 %28, ptr %7, align 4, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 4, ptr %11) #4
  br label %29

29:                                               ; preds = %23
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %9) #4
  br label %20

31:                                               ; preds = %22
  store i32 0, ptr %5, align 4, !tbaa !9
  br label %32

32:                                               ; preds = %72, %31
  %33 = load i32, ptr %5, align 4, !tbaa !9
  %34 = call noundef i64 @_ZNKSt6vectorIiSaIiEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #4
  %35 = trunc i64 %34 to i32
  %36 = icmp slt i32 %33, %35
  br i1 %36, label %37, label %75

37:                                               ; preds = %32
  call void @llvm.lifetime.start.p0(i64 8, ptr %12) #4
  %38 = load i32, ptr %7, align 4, !tbaa !9
  %39 = load i32, ptr %5, align 4, !tbaa !9
  %40 = sext i32 %39 to i64
  %41 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %40) #4
  %42 = load i32, ptr %41, align 4, !tbaa !9
  %43 = sdiv i32 %38, %42
  %44 = sext i32 %43 to i64
  store i64 %44, ptr %12, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %13) #4
  %45 = load i64, ptr %12, align 8, !tbaa !11
  %46 = trunc i64 %45 to i32
  %47 = load i32, ptr %5, align 4, !tbaa !9
  %48 = sext i32 %47 to i64
  %49 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %48) #4
  %50 = load i32, ptr %49, align 4, !tbaa !9
  %51 = call noundef i32 @_ZN2nt11mod_inverseEii(i32 noundef %46, i32 noundef %50)
  %52 = sext i32 %51 to i64
  store i64 %52, ptr %13, align 8, !tbaa !11
  %53 = load i32, ptr %6, align 4, !tbaa !9
  %54 = sext i32 %53 to i64
  %55 = load i64, ptr %12, align 8, !tbaa !11
  %56 = load i32, ptr %5, align 4, !tbaa !9
  %57 = sext i32 %56 to i64
  %58 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %57) #4
  %59 = load i32, ptr %58, align 4, !tbaa !9
  %60 = sext i32 %59 to i64
  %61 = mul nsw i64 %55, %60
  %62 = load i32, ptr %7, align 4, !tbaa !9
  %63 = sext i32 %62 to i64
  %64 = srem i64 %61, %63
  %65 = load i64, ptr %13, align 8, !tbaa !11
  %66 = mul nsw i64 %64, %65
  %67 = add nsw i64 %54, %66
  %68 = load i32, ptr %7, align 4, !tbaa !9
  %69 = sext i32 %68 to i64
  %70 = srem i64 %67, %69
  %71 = trunc i64 %70 to i32
  store i32 %71, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 8, ptr %13) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %12) #4
  br label %72

72:                                               ; preds = %37
  %73 = load i32, ptr %5, align 4, !tbaa !9
  %74 = add nsw i32 %73, 1
  store i32 %74, ptr %5, align 4, !tbaa !9
  br label %32, !llvm.loop !13

75:                                               ; preds = %32
  %76 = load i32, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #4
  ret i32 %76
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorIiSaIiEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 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 = { 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 #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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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"

%"class.__gnu_cxx::__normal_iterator" = type { ptr }

; 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 i32 @_ZN2nt11mod_inverseEii(i32 noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_ZN2nt25chinese_remainder_theoremESt6vectorIiSaIiEES2_(ptr noundef %0, ptr noundef nonnull %1) local_unnamed_addr #1 {
  %3 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %4 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #4
  %5 = tail call ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) %1) #4
  store ptr %5, ptr %3, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #4
  %6 = tail call ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) %1) #4
  store ptr %6, ptr %4, align 8
  %7 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 8 dereferenceable(8) %4) #4
  br i1 %7, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %2
  %.017.lcssa = phi i32 [ 1, %2 ], [ %14, %.lr.ph ]
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #4
  %8 = call noundef i64 @_ZNKSt6vectorIiSaIiEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #4
  %9 = trunc i64 %8 to i32
  %10 = icmp sgt i32 %9, 0
  br i1 %10, label %.lr.ph22, label %._crit_edge23

.lr.ph22:                                         ; preds = %._crit_edge
  %11 = sext i32 %.017.lcssa to i64
  br label %17

.lr.ph:                                           ; preds = %2, %.lr.ph
  %.01718 = phi i32 [ %14, %.lr.ph ], [ 1, %2 ]
  %12 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %3) #4
  %13 = load i32, ptr %12, align 4, !tbaa !5
  %14 = mul nsw i32 %13, %.01718
  %15 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %3) #4
  %16 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 8 dereferenceable(8) %4) #4
  br i1 %16, label %.lr.ph, label %._crit_edge

17:                                               ; preds = %.lr.ph22, %17
  %indvars.iv = phi i64 [ 0, %.lr.ph22 ], [ %indvars.iv.next, %17 ]
  %.01619 = phi i64 [ 0, %.lr.ph22 ], [ %34, %17 ]
  %18 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %indvars.iv) #4
  %19 = load i32, ptr %18, align 4, !tbaa !5
  %20 = sdiv i32 %.017.lcssa, %19
  %21 = sext i32 %20 to i64
  %22 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %indvars.iv) #4
  %23 = load i32, ptr %22, align 4, !tbaa !5
  %24 = call noundef i32 @_ZN2nt11mod_inverseEii(i32 noundef %20, i32 noundef %23)
  %25 = sext i32 %24 to i64
  %sext = shl i64 %.01619, 32
  %26 = ashr exact i64 %sext, 32
  %27 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %28 = load i32, ptr %27, align 4, !tbaa !5
  %29 = sext i32 %28 to i64
  %30 = mul nsw i64 %29, %21
  %31 = srem i64 %30, %11
  %32 = mul nsw i64 %31, %25
  %33 = add nsw i64 %32, %26
  %34 = srem i64 %33, %11
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %35 = call noundef i64 @_ZNKSt6vectorIiSaIiEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #4
  %sext27 = shl i64 %35, 32
  %36 = ashr exact i64 %sext27, 32
  %37 = icmp slt i64 %indvars.iv.next, %36
  br i1 %37, label %17, label %._crit_edge23.loopexit, !llvm.loop !9

._crit_edge23.loopexit:                           ; preds = %17
  %38 = trunc i64 %34 to i32
  br label %._crit_edge23

._crit_edge23:                                    ; preds = %._crit_edge23.loopexit, %._crit_edge
  %.016.lcssa = phi i32 [ 0, %._crit_edge ], [ %38, %._crit_edge23.loopexit ]
  ret i32 %.016.lcssa
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorIiSaIiEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 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 = { 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 #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"}


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