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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<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
    Floating-Point Libraries</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="high_precision/why_high_precision.html">Why use
      a high-precision library rather than built-in floating-point types?</a></span></dt>
<dt><span class="section"><a href="high_precision/use_multiprecision.html">Using
      Boost.Multiprecision</a></span></dt>
<dt><span class="section"><a href="high_precision/float128.html">Using with GCC's
      __float128 datatype</a></span></dt>
<dt><span class="section"><a href="high_precision/use_mpfr.html">Using With MPFR
      or GMP - High-Precision Floating-Point Library</a></span></dt>
<dt><span class="section"><a href="high_precision/e_float.html">Using e_float Library</a></span></dt>
<dt><span class="section"><a href="high_precision/use_ntl.html">Using NTL Library</a></span></dt>
<dt><span class="section"><a href="high_precision/using_test.html">Using without
      expression templates for Boost.Test and others</a></span></dt>
</dl></div>
<p>
      The special functions, distributions, constants and tools in this library can
      be used with a number of high-precision libraries, including:
    </p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
          <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
        </li>
<li class="listitem">
          <a href="http://calgo.acm.org/910.zip" target="_top">e_float (TOMS Algorithm 910)</a>
        </li>
<li class="listitem">
          <a href="http://www.shoup.net/ntl/" target="_top">NTL A Library for doing Number Theory</a>
        </li>
<li class="listitem">
          <a href="http://gmplib.org/" target="_top">GNU Multiple Precision Arithmetic Library</a>
        </li>
<li class="listitem">
          <a href="http://www.mpfr.org/" target="_top">GNU MPFR library</a>
        </li>
<li class="listitem">
          __float128
        </li>
</ul></div>
<p>
      The last four have some license restrictions; only <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
      when using the <code class="computeroutput"><span class="identifier">cpp_float</span></code> backend
      can provide an unrestricted <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">Boost</a>
      license.
    </p>
<p>
      At present, the price of a free license is slightly lower speed.
    </p>
<p>
      Of course, the main cost of higher precision is very much decreased (usually
      at least hundred-fold) computation speed, and big increases in memory use.
    </p>
<p>
      Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary-precision
      arithmetic</a> where the precision is limited only by available memory
      and compute time, but most are used at some arbitrarily-fixed precision, say
      100 decimal digits, like <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
      <code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code>.
    </p>
<p>
      <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
      can operate in both ways, but the most popular choice is likely to be about
      a hundred decimal digits, though examples of computing about a million digits
      have been demonstrated.
    </p>
</div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014 Nikhar Agrawal,
      Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
      Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam Sewani,
      Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        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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	6	<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
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	24	</div>
	25	<div class="section">
	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>
95	<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
96	<td align="left"></td>
97	<td align="right"><div class="copyright-footer">Copyright © 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 Råde, 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>)
103	</p>
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