Potentially erring paths in matrix logarithms about julia HOT 1 OPEN

julia> using LinearAlgebra

julia> [NaN 0.0; 0.0 0.0] |> UpperTriangular
2×2 UpperTriangular{Float64, Matrix{Float64}}:
 NaN    0.0
    ⋅   0.0

julia> [NaN 0.0; 0.0 0.0] |> UpperTriangular |> log
ERROR: InexactError: Float64(NaN + NaN*im)
Stacktrace:
  [1] Real
    @ ./complex.jl:44 [inlined]
  [2] convert
    @ ./number.jl:7 [inlined]
  [3] setindex!
    @ ./array.jl:979 [inlined]
  [4] setindex!
    @ ~/julia/usr/share/julia/stdlib/v1.12/LinearAlgebra/src/triangular.jl:286 [inlined]
  [5] _pow_superdiag_quasitriu!(A::UpperTriangular{Float64, Matrix{…}}, A0::UpperTriangular{Float64, Matrix{…}}, p::Float64)
    @ LinearAlgebra ~/julia/usr/share/julia/stdlib/v1.12/LinearAlgebra/src/triangular.jl:2088
  [6] _log_quasitriu!(A0::UpperTriangular{Float64, Matrix{Float64}}, A::UpperTriangular{Float64, Matrix{Float64}})
    @ LinearAlgebra ~/julia/usr/share/julia/stdlib/v1.12/LinearAlgebra/src/triangular.jl:1816
  [7] log_quasitriu(A0::UpperTriangular{Float64, Matrix{Float64}})
    @ LinearAlgebra ~/julia/usr/share/julia/stdlib/v1.12/LinearAlgebra/src/triangular.jl:1798
  [8] log
    @ ~/julia/usr/share/julia/stdlib/v1.12/LinearAlgebra/src/triangular.jl:1779 [inlined]
  [9] |>(x::UpperTriangular{Float64, Matrix{Float64}}, f::typeof(log))
    @ Base ./operators.jl:967
 [10] top-level scope
    @ REPL[38]:1
Some type information was truncated. Use `show(err)` to see complete types.

julia> using Supposition, LinearAlgebra

julia> square_mats = Data.SquareMatrices(Data.Floats{Float64}(); max_size=20) # upcoming Possibility in the next release
Supposition.Data.SquareMatrices(Supposition.Data.Vectors(Supposition.Data.Floats{Float64}(; nans=true, infs=true); min_size=0, max_size=400); min_size=0, max_size=20)

julia> mats = map(UpperTriangular, square_mats);

julia> @check db=false (m=mats) -> log(m) isa UpperTriangular
Encountered an error
  Context: ##SuppositionAnon#646

  Arguments:
      m::UpperTriangular{Float64, Matrix{Float64}} = [NaN 0.0; 0.0 0.0]

  Exception:
    Message:
      InexactError: Float64(NaN + NaN*im)