; LLVM IR from ShahjalalShohag/code-library :: Math (Lagrange Interpolation with Polynomial Extraction)

; 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::vector.6" = type { %"struct.std::_Vector_base.7" }
%"struct.std::_Vector_base.7" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" = type { ptr, ptr, ptr }

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

declare i32 @__gxx_personality_v0(...)

; 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
declare dso_local noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #1 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5buildiii(i32 noundef, i32 noundef, i32 noundef) #2

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2yoiiiRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8, i32 noundef, i32 noundef, i32 noundef, ptr noundef nonnull align 8 dereferenceable(24)) #2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z8LagrangeRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8 %0, ptr noundef nonnull align 8 dereferenceable(24) %1) #2 personality ptr @__gxx_personality_v0 {
  %3 = alloca ptr, align 8
  %4 = alloca ptr, align 8
  %5 = alloca i32, align 4
  %6 = alloca i1, align 1
  %7 = alloca ptr, align 8
  %8 = alloca i32, align 4
  store ptr %0, ptr %3, align 8
  store ptr %1, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #3
  %9 = load ptr, ptr %4, align 8, !tbaa !5
  %10 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %9) #3
  %11 = trunc i64 %10 to i32
  store i32 %11, ptr %5, align 4, !tbaa !9
  %12 = load i32, ptr %5, align 4, !tbaa !9
  %13 = sub nsw i32 %12, 1
  call void @_Z5buildiii(i32 noundef 1, i32 noundef 0, i32 noundef %13)
  store i1 false, ptr %6, align 1
  %14 = load i32, ptr %5, align 4, !tbaa !9
  %15 = sub nsw i32 %14, 1
  %16 = load ptr, ptr %4, align 8, !tbaa !5
  call void @_Z2yoiiiRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind writable sret(%"class.std::vector.6") align 8 %0, i32 noundef 1, i32 noundef 0, i32 noundef %15, ptr noundef nonnull align 8 dereferenceable(24) %16)
  %17 = load i32, ptr %5, align 4, !tbaa !9
  %18 = sext i32 %17 to i64
  invoke void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %18)
          to label %19 unwind label %21

19:                                               ; preds = %2
  store i1 true, ptr %6, align 1
  %20 = load i1, ptr %6, align 1
  br i1 %20, label %26, label %25

21:                                               ; preds = %2
  %22 = landingpad { ptr, i32 }
          cleanup
  %23 = extractvalue { ptr, i32 } %22, 0
  store ptr %23, ptr %7, align 8
  %24 = extractvalue { ptr, i32 } %22, 1
  store i32 %24, ptr %8, align 4
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %0) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #3
  br label %27

25:                                               ; preds = %19
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %0) #3
  br label %26

26:                                               ; preds = %25, %19
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #3
  ret void

27:                                               ; preds = %21
  %28 = load ptr, ptr %7, align 8
  %29 = load i32, ptr %8, align 4
  %30 = insertvalue { ptr, i32 } poison, ptr %28, 0
  %31 = insertvalue { ptr, i32 } %30, i32 %29, 1
  resume { ptr, i32 } %31
}

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEm(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 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 = { 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 #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 = !{!"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}


; 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::vector.6" = type { %"struct.std::_Vector_base.7" }
%"struct.std::_Vector_base.7" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" = type { ptr, ptr, ptr }

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5buildiii(i32 noundef, i32 noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2yoiiiRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8, i32 noundef, i32 noundef, i32 noundef, ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z8LagrangeRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8 %0, ptr noundef nonnull align 8 dereferenceable(24) %1) local_unnamed_addr #1 personality ptr @__gxx_personality_v0 {
  %3 = tail call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %1) #2
  %4 = trunc i64 %3 to i32
  %5 = add nsw i32 %4, -1
  tail call void @_Z5buildiii(i32 noundef 1, i32 noundef 0, i32 noundef %5)
  tail call void @_Z2yoiiiRSt6vectorI6modintILi1000000007EESaIS1_EE(ptr dead_on_unwind writable sret(%"class.std::vector.6") align 8 %0, i32 noundef 1, i32 noundef 0, i32 noundef %5, ptr noundef nonnull align 8 dereferenceable(24) %1)
  %sext = shl i64 %3, 32
  %6 = ashr exact i64 %sext, 32
  invoke void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %6)
          to label %9 unwind label %7

7:                                                ; preds = %2
  %8 = landingpad { ptr, i32 }
          cleanup
  tail call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %0) #2
  resume { ptr, i32 } %8

9:                                                ; preds = %2
  ret void
}

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #1 align 2

attributes #0 = { 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 #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 = { 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)"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,SROAPass,SimplifyCFGPass,TailCallElimPass