| <html> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> |
| <title>Rational Number Types</title> |
| <link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css"> |
| <meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> |
| <link rel="home" href="../../index.html" title="Chapter 1. Boost.Multiprecision"> |
| <link rel="up" href="../tut.html" title="Tutorial"> |
| <link rel="prev" href="interval/mpfi.html" title="mpfi_float"> |
| <link rel="next" href="rational/cpp_rational.html" title="cpp_rational"> |
| </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="interval/mpfi.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.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="rational/cpp_rational.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="boost_multiprecision.tut.rational"></a><a class="link" href="rational.html" title="Rational Number Types">Rational Number Types</a> |
| </h3></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="rational/cpp_rational.html">cpp_rational</a></span></dt> |
| <dt><span class="section"><a href="rational/gmp_rational.html">gmp_rational</a></span></dt> |
| <dt><span class="section"><a href="rational/tommath_rational.html">tommath_rational</a></span></dt> |
| <dt><span class="section"><a href="rational/br.html">Use With Boost.Rational</a></span></dt> |
| <dt><span class="section"><a href="rational/rational_adaptor.html">rational_adaptor</a></span></dt> |
| </dl></div> |
| <p> |
| The following back-ends provide rational number arithmetic: |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Backend Type |
| </p> |
| </th> |
| <th> |
| <p> |
| Header |
| </p> |
| </th> |
| <th> |
| <p> |
| Radix |
| </p> |
| </th> |
| <th> |
| <p> |
| Dependencies |
| </p> |
| </th> |
| <th> |
| <p> |
| Pros |
| </p> |
| </th> |
| <th> |
| <p> |
| Cons |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">cpp_rational</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| boost/multiprecision/cpp_int.hpp |
| </p> |
| </td> |
| <td> |
| <p> |
| 2 |
| </p> |
| </td> |
| <td> |
| <p> |
| None |
| </p> |
| </td> |
| <td> |
| <p> |
| An all C++ Boost-licensed implementation. |
| </p> |
| </td> |
| <td> |
| <p> |
| Slower than <a href="http://gmplib.org" target="_top">GMP</a>. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">gmp_rational</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| boost/multiprecision/gmp.hpp |
| </p> |
| </td> |
| <td> |
| <p> |
| 2 |
| </p> |
| </td> |
| <td> |
| <p> |
| <a href="http://gmplib.org" target="_top">GMP</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| Very fast and efficient back-end. |
| </p> |
| </td> |
| <td> |
| <p> |
| Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a> |
| library. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">tommath_rational</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| boost/multiprecision/tommath.hpp |
| </p> |
| </td> |
| <td> |
| <p> |
| 2 |
| </p> |
| </td> |
| <td> |
| <p> |
| <a href="http://libtom.org/?page=features&newsitems=5&whatfile=ltm" target="_top">libtommath</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| All C/C++ implementation that's Boost Software Licence compatible. |
| </p> |
| </td> |
| <td> |
| <p> |
| Slower than <a href="http://gmplib.org" target="_top">GMP</a>. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">rational_adaptor</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| boost/multiprecision/rational_adaptor.hpp |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| <td> |
| <p> |
| none |
| </p> |
| </td> |
| <td> |
| <p> |
| All C++ adaptor that allows any integer back-end type to be used |
| as a rational type. |
| </p> |
| </td> |
| <td> |
| <p> |
| Requires an underlying integer back-end type. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| boost/rational.hpp |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| <td> |
| <p> |
| None |
| </p> |
| </td> |
| <td> |
| <p> |
| A C++ rational number type that can used with any <code class="computeroutput"><span class="identifier">number</span></code> integer type. |
| </p> |
| </td> |
| <td> |
| <p> |
| The expression templates used by <code class="computeroutput"><span class="identifier">number</span></code> |
| end up being "hidden" inside <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>: |
| performance may well suffer as a result. |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </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 © 2002-2013 John Maddock and Christopher Kormanyos<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="interval/mpfi.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.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="rational/cpp_rational.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> |
| </div> |
| </body> |
| </html> |
