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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 |
| 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="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> |
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| <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, |
| Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert |
| Holin, Bruno Lalande, John Maddock, Johan Råde, 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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