data, so that p(x(i)) = y(i).
      Because a barycentric formulation is used, polynomials of very high
      degree can safely be used.
    </p>

    <p>
      Efficient calculation of the barycentric polynomial interpolant requires
      that the function to be interpolated be sampled at points from a known
      family, for which the interpolation weights have been precomputed.
      Such families include 
      <ul>
        <li>
          evenly spaced points (but this results in an ill-conditioned syst