rget="_top">NTL::RR</a>
        at 1000-bit precision.
      </p>
<h5>
<a name="math_toolkit.sf_beta.beta_function.h4"></a>
        <span class="phrase"><a name="math_toolkit.sf_beta.beta_function.implementation"></a></span><a class="link" href="beta_function.html#math_toolkit.sf_beta.beta_function.implementation">Implementation</a>
      </h5>
<p>
        Traditional methods of evaluating the beta function either involve evaluating
        the gamma functions directly, or taking logarithms and then exponen