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<title>Using With NTL - a High-Precision Floating-Point Library</title>
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<div class="section math_toolkit_using_udt_use_ntl">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.using_udt.use_ntl"></a><a class="link" href="use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">Using With NTL - a High-Precision
      Floating-Point Library</a>
</h3></div></div></div>
<p>
        The special functions and tools in this library can be used with <a href="http://shoup.net/ntl/doc/RR.txt" target="_top">NTL::RR
        (an arbitrary precision number type)</a>, via the bindings in <a href="../../../../../../../boost/math/bindings/rr.hpp" target="_top">boost/math/bindings/rr.hpp</a>.
        <a href="http://shoup.net/ntl/" target="_top">See also NTL: A Library for doing Number
        Theory by Victor Shoup</a>
      </p>
<p>
        Unfortunately <code class="computeroutput"><span class="identifier">NTL</span><span class="special">::</span><span class="identifier">RR</span></code> doesn't quite satisfy our conceptual
        requirements, so there is a very thin wrapper class <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">ntl</span><span class="special">::</span><span class="identifier">RR</span></code> defined in <a href="../../../../../../../boost/math/bindings/rr.hpp" target="_top">boost/math/bindings/rr.hpp</a>
        that you should use in place of <code class="computeroutput"><span class="identifier">NTL</span><span class="special">::</span><span class="identifier">RR</span></code>. The
        class is intended to be a drop-in replacement for the "real" NTL::RR
        that adds some syntactic sugar to keep this library happy, plus some of the
        standard library functions not implemented in NTL.
      </p>
<p>
        For those functions that are based upon the <a class="link" href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
        approximation</a>, the bindings defines a series of approximations with
        up to 61 terms and accuracy up to approximately 3e-113. This therefore sets
        the upper limit for accuracy to the majority of functions defined this library
        when used with <code class="computeroutput"><span class="identifier">NTL</span><span class="special">::</span><span class="identifier">RR</span></code>.
      </p>
<p>
        There is a concept checking test program for NTL support <a href="../../../../../../../libs/math/test/ntl_concept_check.cpp" target="_top">here</a>.
      </p>
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        Distributed under the Boost Software License, Version 1.0. (See accompanying
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