; LLVM IR from ShahjalalShohag/code-library :: Math/Lagrange Interpolation with Polynomial Extraction.ll (Z5buildiii)

; 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 }
%"class.std::initializer_list.13" = type { ptr, i64 }
%struct.modint = type { i32 }

@t = external dso_local global [4000036 x %"class.std::vector.6"], align 16

; 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 void @_Z13multiply_mintRSt6vectorI6modintILi1000000007EESaIS1_EES4_(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8, ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #2 align 2

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

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5buildiii(i32 noundef %0, i32 noundef %1, i32 noundef %2) #1 {
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca %"class.std::initializer_list.13", align 8
  %8 = alloca [2 x %struct.modint], align 4
  %9 = alloca i32, align 4
  %10 = alloca %"class.std::vector.6", align 8
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  store i32 %2, ptr %6, align 4, !tbaa !5
  %11 = load i32, ptr %5, align 4, !tbaa !5
  %12 = load i32, ptr %6, align 4, !tbaa !5
  %13 = icmp eq i32 %11, %12
  br i1 %13, label %14, label %28

14:                                               ; preds = %3
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #3
  %15 = load i32, ptr %5, align 4, !tbaa !5
  %16 = sub nsw i32 0, %15
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %8, i32 noundef %16)
  %17 = getelementptr inbounds %struct.modint, ptr %8, i64 1
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %17, i32 noundef 1)
  %18 = getelementptr inbounds %"class.std::initializer_list.13", ptr %7, i32 0, i32 0
  store ptr %8, ptr %18, align 8, !tbaa !9
  %19 = getelementptr inbounds %"class.std::initializer_list.13", ptr %7, i32 0, i32 1
  store i64 2, ptr %19, align 8, !tbaa !13
  %20 = load i32, ptr %4, align 4, !tbaa !5
  %21 = sext i32 %20 to i64
  %22 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %21
  %23 = getelementptr inbounds { ptr, i64 }, ptr %7, i32 0, i32 0
  %24 = load ptr, ptr %23, align 8
  %25 = getelementptr inbounds { ptr, i64 }, ptr %7, i32 0, i32 1
  %26 = load i64, ptr %25, align 8
  %27 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSESt16initializer_listIS1_E(ptr noundef nonnull align 8 dereferenceable(24) %22, ptr %24, i64 %26)
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  br label %56

28:                                               ; preds = %3
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #3
  %29 = load i32, ptr %5, align 4, !tbaa !5
  %30 = load i32, ptr %6, align 4, !tbaa !5
  %31 = add nsw i32 %29, %30
  %32 = ashr i32 %31, 1
  store i32 %32, ptr %9, align 4, !tbaa !5
  %33 = load i32, ptr %4, align 4, !tbaa !5
  %34 = shl i32 %33, 1
  %35 = load i32, ptr %5, align 4, !tbaa !5
  %36 = load i32, ptr %9, align 4, !tbaa !5
  call void @_Z5buildiii(i32 noundef %34, i32 noundef %35, i32 noundef %36)
  %37 = load i32, ptr %4, align 4, !tbaa !5
  %38 = shl i32 %37, 1
  %39 = or i32 %38, 1
  %40 = load i32, ptr %9, align 4, !tbaa !5
  %41 = add nsw i32 %40, 1
  %42 = load i32, ptr %6, align 4, !tbaa !5
  call void @_Z5buildiii(i32 noundef %39, i32 noundef %41, i32 noundef %42)
  call void @llvm.lifetime.start.p0(i64 24, ptr %10) #3
  %43 = load i32, ptr %4, align 4, !tbaa !5
  %44 = shl i32 %43, 1
  %45 = sext i32 %44 to i64
  %46 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %45
  %47 = load i32, ptr %4, align 4, !tbaa !5
  %48 = shl i32 %47, 1
  %49 = or i32 %48, 1
  %50 = sext i32 %49 to i64
  %51 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %50
  call void @_Z13multiply_mintRSt6vectorI6modintILi1000000007EESaIS1_EES4_(ptr dead_on_unwind writable sret(%"class.std::vector.6") align 8 %10, ptr noundef nonnull align 8 dereferenceable(24) %46, ptr noundef nonnull align 8 dereferenceable(24) %51)
  %52 = load i32, ptr %4, align 4, !tbaa !5
  %53 = sext i32 %52 to i64
  %54 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %53
  %55 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSEOS3_(ptr noundef nonnull align 8 dereferenceable(24) %54, ptr noundef nonnull align 8 dereferenceable(24) %10) #3
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %10) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr %10) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #3
  br label %56

56:                                               ; preds = %28, %14
  ret void
}

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSESt16initializer_listIS1_E(ptr noundef nonnull align 8 dereferenceable(24), ptr, i64) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSEOS3_(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) #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 = { 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, !11, i64 0}
!10 = !{!"_ZTSSt16initializer_listI6modintILi1000000007EEE", !11, i64 0, !12, i64 8}
!11 = !{!"any pointer", !7, i64 0}
!12 = !{!"long", !7, i64 0}
!13 = !{!10, !12, i64 8}


; 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 }
%struct.modint = type { i32 }

@t = external dso_local global [4000036 x %"class.std::vector.6"], align 16

; 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 void @_Z13multiply_mintRSt6vectorI6modintILi1000000007EESaIS1_EES4_(ptr dead_on_unwind noalias writable sret(%"class.std::vector.6") align 8, ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #2 align 2

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

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5buildiii(i32 noundef %0, i32 noundef %1, i32 noundef %2) local_unnamed_addr #1 {
  %4 = alloca [2 x %struct.modint], align 4
  %5 = alloca %"class.std::vector.6", align 8
  %6 = icmp eq i32 %1, %2
  br i1 %6, label %common.ret, label %12

common.ret:                                       ; preds = %3
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #3
  %7 = sub nsw i32 0, %1
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %4, i32 noundef %7)
  %8 = getelementptr inbounds i8, ptr %4, i64 4
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %8, i32 noundef 1)
  %9 = sext i32 %0 to i64
  %10 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %9
  %11 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSESt16initializer_listIS1_E(ptr noundef nonnull align 8 dereferenceable(24) %10, ptr nonnull %4, i64 2)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #3
  br label %common.ret16

common.ret16:                                     ; preds = %12, %common.ret
  ret void

12:                                               ; preds = %3
  %13 = add nsw i32 %2, %1
  %14 = ashr i32 %13, 1
  %15 = shl i32 %0, 1
  tail call void @_Z5buildiii(i32 noundef %15, i32 noundef %1, i32 noundef %14)
  %16 = or disjoint i32 %15, 1
  %17 = add nsw i32 %14, 1
  tail call void @_Z5buildiii(i32 noundef %16, i32 noundef %17, i32 noundef %2)
  call void @llvm.lifetime.start.p0(i64 24, ptr nonnull %5) #3
  %18 = sext i32 %15 to i64
  %19 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %18
  %20 = sext i32 %16 to i64
  %21 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %20
  call void @_Z13multiply_mintRSt6vectorI6modintILi1000000007EESaIS1_EES4_(ptr dead_on_unwind nonnull writable sret(%"class.std::vector.6") align 8 %5, ptr noundef nonnull align 8 dereferenceable(24) %19, ptr noundef nonnull align 8 dereferenceable(24) %21)
  %22 = sext i32 %0 to i64
  %23 = getelementptr inbounds [4000036 x %"class.std::vector.6"], ptr @t, i64 0, i64 %22
  %24 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSEOS3_(ptr noundef nonnull align 8 dereferenceable(24) %23, ptr noundef nonnull align 8 dereferenceable(24) %5) #3
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %5) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %5) #3
  br label %common.ret16
}

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSESt16initializer_listIS1_E(ptr noundef nonnull align 8 dereferenceable(24), ptr, i64) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEaSEOS3_(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) 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 = { 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,InferFunctionAttrsPass,InstCombinePass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass