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<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Using Boost.Math with High-Precision Floating-Point Libraries</title> <link rel="stylesheet" href="../math.css" type="text/css"> <meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> <link rel="home" href="../index.html" title="Math Toolkit 2.1.0"> <link rel="up" href="../using_udt.html" title="Chapter&#160;13.&#160;Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"> <link rel="prev" href="../using_udt.html" title="Chapter&#160;13.&#160;Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"> <link rel="next" href="high_precision/why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> <table cellpadding="2" width="100%"><tr> <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td> <td align="center"><a href="../../../../../index.html">Home</a></td> <td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td> <td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> <td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> <td align="center"><a href="../../../../../more/index.htm">More</a></td> </tr></table> <hr> <div class="spirit-nav"> <a accesskey="p" href="../using_udt.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../using_udt.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="high_precision/why_high_precision.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> <div class="section"> <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 class="toc"> <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="http://www.boost.org/doc/libs/1_53_0_beta1/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="http://www.boost.org/doc/libs/1_53_0_beta1/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 avilable memory and compute time, but most are used at some arbitrarily-fixed precision, say 100 decimal digits. </p> <p> <a href="http://www.boost.org/doc/libs/1_53_0_beta1/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 tens of thousands of digits have been demonstrated. </p> </div> <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> <td align="left"></td> <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, 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>) </p> </div></td> </tr></table> <hr> <div class="spirit-nav"> <a accesskey="p" href="../using_udt.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../using_udt.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="high_precision/why_high_precision.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> </body> </html>