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  26 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
  27 <a name="math_toolkit.high_precision"></a><a class="link" href="high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">Using Boost.Math with High-Precision
  28     Floating-Point Libraries</a>
  29 </h2></div></div></div>
  30 <div class="toc"><dl>
  31 <dt><span class="section"><a href="high_precision/why_high_precision.html">Why use
  32       a high-precision library rather than built-in floating-point types?</a></span></dt>
  33 <dt><span class="section"><a href="high_precision/use_multiprecision.html">Using
  34       Boost.Multiprecision</a></span></dt>
  35 <dt><span class="section"><a href="high_precision/float128.html">Using with GCC's
  36       __float128 datatype</a></span></dt>
  37 <dt><span class="section"><a href="high_precision/use_mpfr.html">Using With MPFR
  38       or GMP - High-Precision Floating-Point Library</a></span></dt>
  39 <dt><span class="section"><a href="high_precision/e_float.html">Using e_float Library</a></span></dt>
  40 <dt><span class="section"><a href="high_precision/use_ntl.html">Using NTL Library</a></span></dt>
  41 <dt><span class="section"><a href="high_precision/using_test.html">Using without
  42       expression templates for Boost.Test and others</a></span></dt>
  43 </dl></div>
  44 <p>
  45       The special functions, distributions, constants and tools in this library can
  46       be used with a number of high-precision libraries, including:
  47     </p>
  48 <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
  49 <li class="listitem">
  50           <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  51         </li>
  52 <li class="listitem">
  53           <a href="http://calgo.acm.org/910.zip" target="_top">e_float (TOMS Algorithm 910)</a>
  54         </li>
  55 <li class="listitem">
  56           <a href="http://www.shoup.net/ntl/" target="_top">NTL A Library for doing Number Theory</a>
  57         </li>
  58 <li class="listitem">
  59           <a href="http://gmplib.org/" target="_top">GNU Multiple Precision Arithmetic Library</a>
  60         </li>
  61 <li class="listitem">
  62           <a href="http://www.mpfr.org/" target="_top">GNU MPFR library</a>
  63         </li>
  64 <li class="listitem">
  65           __float128
  66         </li>
  67 </ul></div>
  68 <p>
  69       The last four have some license restrictions; only <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  70       when using the <code class="computeroutput"><span class="identifier">cpp_float</span></code> backend
  71       can provide an unrestricted <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">Boost</a>
  72       license.
  73     </p>
  74 <p>
  75       At present, the price of a free license is slightly lower speed.
  76     </p>
  77 <p>
  78       Of course, the main cost of higher precision is very much decreased (usually
  79       at least hundred-fold) computation speed, and big increases in memory use.
  80     </p>
  81 <p>
  82       Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary-precision
  83       arithmetic</a> where the precision is limited only by available memory
  84       and compute time, but most are used at some arbitrarily-fixed precision, say
  85       100 decimal digits, like <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  86       <code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code>.
  87     </p>
  88 <p>
  89       <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  90       can operate in both ways, but the most popular choice is likely to be about
  91       a hundred decimal digits, though examples of computing about a million digits
  92       have been demonstrated.
  93     </p>
  94 </div>
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  97 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014 Nikhar Agrawal,
  98       Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
  99       Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam Sewani,
 100       Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
 101         Distributed under the Boost Software License, Version 1.0. (See accompanying
 102         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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