m used by the
        associated Legendre functions is calculated without roundoff error using
        <span class="emphasis"><em>x = cos(theta)</em></span>, and <span class="emphasis"><em>1-x<sup>2</sup> = sin<sup>2</sup>(theta)</em></span>).
        The limiting factor in the error rates for these functions is the need to
        calculate values near the roots of the associated Legendre functions.
      </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr