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<title>Using NTL Library</title>
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<div class="titlepage"><div><div><h3 class="title">
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<a name="math_toolkit.high_precision.use_ntl"></a><a class="link" href="use_ntl.html" title="Using NTL Library">Using NTL Library</a>
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</h3></div></div></div>
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<p>
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<a href="http://shoup.net/ntl/doc/RR.txt" target="_top">NTL::RR</a> (an arbitrarily-fixed
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precision floating-point number type), can be used via the bindings in <a href="../../../../../../boost/math/bindings/rr.hpp" target="_top">boost/math/bindings/rr.hpp</a>.
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For details, see <a href="http://shoup.net/ntl/" target="_top">NTL: A Library for doing
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Number Theory by Victor Shoup</a>.
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</p>
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<p>
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<span class="bold"><strong>New projects are recommended to use <a href="../../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
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instead.</strong></span>
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</p>
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<p>
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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
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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>
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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
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class is intended to be a drop-in replacement for the "real" NTL::RR
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that adds some syntactic sugar to keep this library happy, plus some of the
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standard library functions not implemented in NTL.
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</p>
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<p>
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For those functions that are based upon the <a class="link" href="../lanczos.html" title="The Lanczos Approximation">Lanczos
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approximation</a>, the bindings defines a series of approximations with
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up to 61 terms and accuracy up to approximately 3e-113. This therefore sets
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the upper limit for accuracy to the majority of functions defined this library
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when used with <code class="computeroutput"><span class="identifier">NTL</span><span class="special">::</span><span class="identifier">RR</span></code>.
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</p>
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<p>
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There is a concept checking test program for NTL support <a href="../../../../../../libs/math/test/ntl_concept_check.cpp" target="_top">here</a>.
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</p>
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<div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
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Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
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Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
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Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
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Walker and Xiaogang Zhang<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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