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- <a name="boost_multiprecision.tut.rational"></a><a class="link" href="rational.html" title="Rational Number Types">Rational Number Types</a>
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- <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>
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- <dt><span class="section"><a href="rational/br.html">Use With Boost.Rational</a></span></dt>
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- <p>
- The following back-ends provide rational number arithmetic:
- </p>
- <div class="informaltable"><table class="table">
- <colgroup>
- <col>
- <col>
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- <col>
- <col>
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- <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.net" 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>
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- <td align="right"><div class="copyright-footer">Copyright © 2002-2019 John Maddock
- and Christopher Kormanyos<p>
- Distributed under the Boost Software License, Version 1.0. (See accompanying
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