libs/math/doc/html/math_toolkit/high_precision.html

   1 <html>
   2 <head>
   3 <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
   4 <title>Using Boost.Math with High-Precision Floating-Point Libraries</title>
   5 <link rel="stylesheet" href="../math.css" type="text/css">
   6 <meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
   7 <link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
   8 <link rel="up" href="../using_udt.html" title="Chapter&#160;19.&#160;Use with User-Defined Floating-Point Types - Boost.Multiprecision and others">
   9 <link rel="prev" href="../using_udt.html" title="Chapter&#160;19.&#160;Use with User-Defined Floating-Point Types - Boost.Multiprecision and others">
  10 <link rel="next" href="high_precision/why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?">
  11 </head>
  12 <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
  13 <table cellpadding="2" width="100%"><tr>
  14 <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td>
  15 <td align="center"><a href="../../../../../index.html">Home</a></td>
  16 <td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td>
  17 <td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
  18 <td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
  19 <td align="center"><a href="../../../../../more/index.htm">More</a></td>
  20 </tr></table>
  21 <hr>
  22 <div class="spirit-nav">
  23 <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>
  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 class="toc">
  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           <a href="https://gcc.gnu.org/onlinedocs/gcc-9.1.0/libquadmath/index.html" target="_top">GCC
  66           128-bit floating-point type</a>
  67         </li>
  68 <li class="listitem">
  69           Intel _Quad type
  70         </li>
  71 </ul></div>
  72 <p>
  73       The last four have some license restrictions; only <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  74       when using the <code class="computeroutput"><span class="identifier">cpp_float</span></code> backend
  75       can provide an unrestricted <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">Boost</a>
  76       license.
  77     </p>
  78 <p>
  79       At present, the price of a free license is slightly lower speed.
  80     </p>
  81 <p>
  82       Of course, the main cost of higher precision is very much decreased (usually
  83       at least hundred-fold) computation speed, and big increases in memory use.
  84     </p>
  85 <p>
  86       Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary-precision
  87       arithmetic</a> where the precision is limited only by available memory
  88       and compute time, but most are used at some arbitrarily-fixed precision, say
  89       100 decimal digits, like <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  90       <code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code>.
  91     </p>
  92 <p>
  93       <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
  94       can operate in both ways, but the most popular choice is likely to be about
  95       a hundred decimal digits, though examples of computing about a million digits
  96       have been demonstrated.
  97     </p>
  98 </div>
  99 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 100 <td align="left"></td>
 101 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2019 Nikhar
 102       Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
 103       Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
 104       R&#229;de, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
 105       Daryle Walker and Xiaogang Zhang<p>
 106         Distributed under the Boost Software License, Version 1.0. (See accompanying
 107         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>)
 108       </p>
 109 </div></td>
 110 </tr></table>
 111 <hr>
 112 <div class="spirit-nav">
 113 <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>
 114 </div>
 115 </body>
 116 </html>