Packages for rational interpolation?

Given the numerous packages and other developments about polynomials and interpolations in the Julia ecosystem (e.g. Polynomials.jl, SpecialPolynomials.jl and Interpolations.jl) , I was wondering if there are some packages that deal with rational interpolation.

By now I only found BaryRational.jl, but as often that may be just because of a lack of proper keywords in my search.

Side-note, a multi-variate capable package would be a plus.

There is a note here Polynomials.jl/fit.jl at master · JuliaMath/Polynomials.jl · GitHub with a bit of a summary. It also includes reference to a RationalApproximations package.