Changed basedocs.jl and logging.jl to only use jldoctest

[persinammon4]

#56921

Small update of two files (logging.jl and basedocs.jl) to switch from julia-repl tag to jldoctest tags.

Would prefer for reviewer to double check that make -C doc doctest=true works for them

[LilithHafner]

You can look at the doctest failures (in the check job) to see where this still needs work. It's safe for you to ignore all the other CI checks for this PR.

Take a look at https://documenter.juliadocs.org/stable/man/doctests/#Filtering-Doctests for how to handle those undef examples.

[LilithHafner]

I'd use a filter that only filters out floating point values, not the whole output. e.g. -?\d+\.\d+(e-?\d+)?|NaN|Inf|-Inf

[persinammon4]

Hi @LilithHafner, so zero regex works, but even the basic regex with or without being raw string is throwing an error for me.

Currently, I'm at this error: LoadError("sysimg.jl", 5, LoadError("Base.jl", 279, LoadError("docs/basedocs.jl", 4, LoadError("docs/basedocs.jl", 2898, ErrorException("parsing command jldoctest; filter = r\"(-?\\s*-?\\d\\.\\d+e[+-]?\\d+\\n)+|NaN|Inf|-Inf\"\njulia> Vector{Float64}(undef, 3)\n3-element Vector{Float64}:\n 6.90966e-310\n 6.90966e-310\n 6.90966e-310\n: special characters \"#{}()[]<>|&*?~;\" must be quoted in commands"))))) for this line of code

jldoctest; filter = "-?\\d+\\.\\d+(e-?\\d+)?\\|NaN\\|Inf\\|-Inf".

Have you experienced this error before?