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263 lines
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<div class="titlepage"><div><div><h3 class="title">
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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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</h3></div></div></div>
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<div class="toc"><dl class="toc">
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<dt><span class="section"><a href="rational/cpp_rational.html">cpp_rational</a></span></dt>
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<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/tommath_rational.html">tommath_rational</a></span></dt>
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<dt><span class="section"><a href="rational/tommath_rational0.html">tommath_rational</a></span></dt>
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<dt><span class="section"><a href="rational/rational_adaptor.html">rational_adaptor</a></span></dt>
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</dl></div>
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<p>
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The following back-ends provide rational number arithmetic:
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</p>
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<div class="informaltable"><table class="table">
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<colgroup>
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<col>
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<col>
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<col>
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</colgroup>
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<thead><tr>
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<th>
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<p>
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Backend Type
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</p>
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</th>
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<th>
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<p>
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Header
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</p>
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</th>
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<th>
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<p>
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Radix
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</p>
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</th>
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<th>
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<p>
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Dependencies
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</p>
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</th>
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<th>
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<p>
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Pros
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</p>
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</th>
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<th>
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<p>
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Cons
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</p>
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</th>
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</tr></thead>
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<tbody>
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<tr>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">cpp_rational</span></code>
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</p>
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</td>
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<td>
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<p>
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boost/multiprecision/cpp_int.hpp
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</p>
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</td>
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<td>
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<p>
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2
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</p>
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</td>
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<p>
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None
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</p>
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</td>
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<td>
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<p>
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An all C++ Boost-licensed implementation.
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</p>
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</td>
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<td>
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<p>
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Slower than <a href="http://gmplib.org" target="_top">GMP</a>.
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">gmp_rational</span></code>
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</p>
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</td>
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<td>
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<p>
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boost/multiprecision/gmp.hpp
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</p>
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</td>
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<td>
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<p>
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2
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</p>
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</td>
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<p>
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<a href="http://gmplib.org" target="_top">GMP</a>
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</p>
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</td>
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<td>
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<p>
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Very fast and efficient back-end.
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</p>
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</td>
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<td>
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<p>
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Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a>
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library.
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">tommath_rational</span></code>
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</p>
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</td>
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<td>
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<p>
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boost/multiprecision/tommath.hpp
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</p>
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</td>
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<td>
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<p>
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2
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</p>
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</td>
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<p>
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<a href="http://libtom.net" target="_top">libtommath</a>
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</p>
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</td>
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<td>
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<p>
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All C/C++ implementation that's Boost Software Licence compatible.
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</p>
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</td>
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<td>
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<p>
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Slower than <a href="http://gmplib.org" target="_top">GMP</a>.
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">rational_adaptor</span></code>
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</p>
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</td>
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<td>
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<p>
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boost/multiprecision/rational_adaptor.hpp
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</p>
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</td>
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<td>
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<p>
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N/A
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</p>
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</td>
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<td>
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<p>
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none
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</p>
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</td>
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<td>
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<p>
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All C++ adaptor that allows any integer back-end type to be used
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as a rational type.
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</p>
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</td>
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<td>
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<p>
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Requires an underlying integer back-end type.
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>
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</p>
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</td>
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<td>
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<p>
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boost/rational.hpp
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</p>
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</td>
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<td>
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<p>
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N/A
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</p>
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</td>
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<td>
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<p>
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None
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</p>
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</td>
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<td>
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<p>
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A C++ rational number type that can used with any <code class="computeroutput"><span class="identifier">number</span></code> integer type.
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</p>
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</td>
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<td>
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<p>
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The expression templates used by <code class="computeroutput"><span class="identifier">number</span></code>
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end up being "hidden" inside <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>:
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performance may well suffer as a result.
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</p>
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</td>
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</tr>
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</tbody>
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</table></div>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
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Maddock and Christopher Kormanyos<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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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</p>
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</div></td>
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</tr></table>
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<hr>
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<div class="spirit-nav">
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