Crash when printing `TaylorN` with mixed-length polynomials

[schillic]

I have a TaylorN object that crashes when printing. I can print the coefficients manually:

julia> for p in T
           println(p.coeffs)
       end
Interval{Float64}[[0.5, 0.5]_NG]
Interval{Float64}[[0.4, 0.4]_NG, [0.0, 0.0]_NG]
Interval{Float64}[[0.0, 0.0]_NG, [0.0, 0.0]_NG, [0.0, 0.0]_NG]
...

I narrowed it down to a HomogeneousPolynomial, but I am not sure whether the object was wrongly created (by a library) or whether the printing code is faulty. The crash happens in line 156 below:

TaylorSeries.jl/src/printing.jl

Lines 141 to 156 in a30f636

	function homogPol2str(a::HomogeneousPolynomial{T}) where {T<:Number}
	numVars = get_numvars()
	order = a.order
	z = zero(a.coeffs[1])
	space = string(" ")
	strout::String = space
	ifirst = true
	iIndices = zeros(Int, numVars)
	for pos = 1:size_table[order+1]
	monom::String = string("")
	@inbounds iIndices[:] = coeff_table[order+1][pos]
	for ivar = 1:numVars
	powivar = iIndices[ivar]
	monom = string(monom, monom_string(powivar, name_taylorNvar(ivar), false))
	end
	@inbounds c = a[pos]

Does this ring a bell?

julia> p = T[1];

julia> typeof(p)
HomogeneousPolynomial{Interval{Float64}}

julia> p.coeffs
2-element Vector{Interval{Float64}}:
 [0.4, 0.4]_NG
 [0.0, 0.0]_NG

julia> p.order
1

julia> p
Error showing value of type HomogeneousPolynomial{Interval{Float64}}:

SYSTEM (REPL): showing an error caused an error
ERROR: 1-element ExceptionStack:
BoundsError: attempt to access 2-element Vector{Interval{Float64}} at index [3]
Stacktrace:
  [1] throw_boundserror(A::Vector{Interval{Float64}}, I::Tuple{Int64})
    @ Base ./essentials.jl:15
  [2] getindex
    @ ./essentials.jl:919 [inlined]
  [3] getindex
    @ ~/.julia/packages/TaylorSeries/o2vHt/src/auxiliary.jl:123 [inlined]
  [4] homogPol2str(a::HomogeneousPolynomial{Interval{Float64}})
    @ TaylorSeries ~/.julia/packages/TaylorSeries/o2vHt/src/printing.jl:156
  [5] pretty_print
    @ ~/.julia/packages/TaylorSeries/o2vHt/src/printing.jl:118 [inlined]
  [6] show(io::IOContext{REPL.LimitIO{Base.TTY}}, a::HomogeneousPolynomial{Interval{Float64}})
    @ TaylorSeries ~/.julia/packages/TaylorSeries/o2vHt/src/printing.jl:257
  [7] show(io::IOContext{REPL.LimitIO{Base.TTY}}, ::MIME{Symbol("text/plain")}, x::HomogeneousPolynomial{Interval{Float64}})
    @ Base.Multimedia ./multimedia.jl:47
  [8] show_repl(io::IO, mime::MIME{Symbol("text/plain")}, x::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:548
  [9] show_limited(io::IO, mime::MIME, x::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:517
 [10] (::REPL.var"#display##0#display##1"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol("text/plain")}, Base.RefValue{Any}})(io::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:540
 [11] with_repl_linfo(f::Any, repl::REPL.LineEditREPL)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:833
 [12] display(d::REPL.REPLDisplay, mime::MIME{Symbol("text/plain")}, x::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:526
 [13] display(d::REPL.REPLDisplay, x::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:546
 [14] display(x::Any)
    @ Base.Multimedia ./multimedia.jl:340
 [15] (::REPL.var"#print_response##2#print_response##3")()
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:590
 [16] repl_backend_loop(backend::REPL.REPLBackend, get_module::Function)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:445
 [17] start_repl_backend(backend::REPL.REPLBackend, consumer::Any; get_module::Function)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:427
 [18] start_repl_backend
    @ ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:424 [inlined]
 [19] run_repl(repl::REPL.AbstractREPL, consumer::Any; backend_on_current_task::Bool, backend::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:653
 [20] run_repl(repl::REPL.AbstractREPL, consumer::Any)
    @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:639
 [21] run_std_repl(REPL::Module, quiet::Bool, banner::Symbol, history_file::Bool)
    @ Base ./client.jl:478
 [22] run_main_repl(interactive::Bool, quiet::Bool, banner::Symbol, history_file::Bool)
    @ Base ./client.jl:499
 [23] repl_main
    @ ./client.jl:586 [inlined]
 [24] _start()
    @ Base ./client.jl:561
Stacktrace:
 [1] print_response(errio::IO, response::Any, backend::Union{Nothing, REPL.REPLBackendRef}, show_value::Bool, have_color::Bool, specialdisplay::Union{Nothing, AbstractDisplay})
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:599
 [2] (::REPL.var"#print_response##0#print_response##1"{REPL.LineEditREPL, Pair{Any, Bool}, Bool, Bool})(io::Any)
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:558
 [3] with_repl_linfo(f::Any, repl::REPL.LineEditREPL)
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:833
 [4] print_response(repl::REPL.AbstractREPL, response::Any, show_value::Bool, have_color::Bool)
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:556
 [5] (::REPL.var"#do_respond#73"{Bool, Bool, REPL.var"#setup_interface##12#setup_interface##13"{…}, REPL.LineEditREPL, REPL.LineEdit.Prompt})(s::REPL.LineEdit.MIState, buf::Any, ok::Bool)
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:1192
 [6] (::VSCodeServer.var"#install_vscode_shell_integration##4#install_vscode_shell_integration##5"{REPL.var"#do_respond#73"{…}})(mi::REPL.LineEdit.MIState, buf::IOBuffer, ok::Bool)
   @ VSCodeServer ~/.vscode-oss/extensions/julialang.language-julia-1.158.2-universal/scripts/packages/VSCodeServer/src/repl.jl:122
 [7] run_interface(terminal::Base.Terminals.TextTerminal, m::REPL.LineEdit.ModalInterface, s::REPL.LineEdit.MIState)
   @ REPL.LineEdit ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/LineEdit.jl:2854
 [8] run_frontend(repl::REPL.LineEditREPL, backend::REPL.REPLBackendRef)
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:1663
 [9] (::REPL.var"#61#62"{REPL.LineEditREPL, REPL.REPLBackendRef})()
   @ REPL ~/programs/julia-1.12.1/share/julia/stdlib/v1.12/REPL/src/REPL.jl:650
Some type information was truncated. Use `show(err)` to see complete types.