variable_conic_form.jl

function conic_form!(x::AbstractVariable, unique_conic_forms::UniqueConicForms)
    if !has_conic_form(unique_conic_forms, x)
        add_to_id_to_variables!(unique_conic_forms, x)
        if vexity(x) == ConstVexity()
            # do exactly what we would for a constant
            objective = ConicObj()
            objective[objectid(:constant)] = (vec([real(evaluate(x));]),vec([imag(evaluate(x));]))
            cache_conic_form!(unique_conic_forms, x, objective)
        else
            objective = ConicObj()
            vec_size = length(x)

            objective[x.id_hash] = (real_conic_form(x), imag_conic_form(x))
            objective[objectid(:constant)] = (spzeros(vec_size, 1), spzeros(vec_size, 1))
            # placeholder values in unique constraints prevent infinite recursion depth
            cache_conic_form!(unique_conic_forms, x, objective)
            if !(sign(x) == NoSign() || sign(x) == ComplexSign())
                conic_form!(sign(x), x, unique_conic_forms)
            end

            # apply the constraints `x` itself carries
            for constraint in constraints(x)
                conic_form!(constraint, unique_conic_forms)
            end
        end
    end
    return get_conic_form(unique_conic_forms, x)
end