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<div class="section">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<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
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Floating-Point Libraries</a>
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</h2></div></div></div>
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<div class="toc"><dl class="toc">
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<dt><span class="section"><a href="high_precision/why_high_precision.html">Why use
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a high-precision library rather than built-in floating-point types?</a></span></dt>
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<dt><span class="section"><a href="high_precision/use_multiprecision.html">Using
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Boost.Multiprecision</a></span></dt>
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<dt><span class="section"><a href="high_precision/float128.html">Using with GCC's
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__float128 datatype</a></span></dt>
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<dt><span class="section"><a href="high_precision/use_mpfr.html">Using With MPFR
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or GMP - High-Precision Floating-Point Library</a></span></dt>
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<dt><span class="section"><a href="high_precision/e_float.html">Using e_float Library</a></span></dt>
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<dt><span class="section"><a href="high_precision/use_ntl.html">Using NTL Library</a></span></dt>
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<dt><span class="section"><a href="high_precision/using_test.html">Using without
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expression templates for Boost.Test and others</a></span></dt>
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</dl></div>
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<p>
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The special functions, distributions, constants and tools in this library can
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be used with a number of high-precision libraries, including:
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</p>
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<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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<li class="listitem">
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<a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
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</li>
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<li class="listitem">
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<a href="http://calgo.acm.org/910.zip" target="_top">e_float (TOMS Algorithm 910)</a>
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</li>
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<li class="listitem">
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<a href="http://www.shoup.net/ntl/" target="_top">NTL A Library for doing Number Theory</a>
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</li>
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<li class="listitem">
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<a href="http://gmplib.org/" target="_top">GNU Multiple Precision Arithmetic Library</a>
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</li>
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<li class="listitem">
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<a href="http://www.mpfr.org/" target="_top">GNU MPFR library</a>
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</li>
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<li class="listitem">
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<a href="https://gcc.gnu.org/onlinedocs/gcc-9.1.0/libquadmath/index.html" target="_top">GCC
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128-bit floating-point type</a>
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</li>
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<li class="listitem">
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Intel _Quad type
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</li>
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</ul></div>
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<p>
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The last four have some license restrictions; only <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
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when using the <code class="computeroutput"><span class="identifier">cpp_float</span></code> backend
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can provide an unrestricted <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">Boost</a>
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license.
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</p>
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<p>
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At present, the price of a free license is slightly lower speed.
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</p>
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<p>
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Of course, the main cost of higher precision is very much decreased (usually
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at least hundred-fold) computation speed, and big increases in memory use.
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</p>
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<p>
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Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary-precision
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arithmetic</a> where the precision is limited only by available memory
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and compute time, but most are used at some arbitrarily-fixed precision, say
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100 decimal digits, like <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
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<code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code>.
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</p>
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<p>
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<a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
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can operate in both ways, but the most popular choice is likely to be about
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a hundred decimal digits, though examples of computing about a million digits
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have been demonstrated.
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><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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