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- <div class="section">
- <div class="titlepage"><div><div><h3 class="title">
- <a name="boost_icl.function_reference.additional_interval_orderings"></a><a class="link" href="additional_interval_orderings.html" title="Additional Interval Orderings">Additional
- Interval Orderings</a>
- </h3></div></div></div>
- <p>
- In addition to the standard orderings <code class="computeroutput"><span class="keyword">operator</span>
- <span class="special"><</span></code> and rleated <code class="computeroutput"><span class="special">></span>
- <span class="special"><=</span> <span class="special">>=</span></code>
- that you will find in the <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>librarie's function synopsis</strong></span></em></span></a>, intervals
- implement some additional orderings that can be useful.
- </p>
- <div class="informaltable"><table class="table">
- <colgroup>
- <col>
- <col>
- <col>
- <col>
- <col>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- T
- </p>
- </th>
- <th>
- <p>
- discrete<br> _interval
- </p>
- </th>
- <th>
- <p>
- continuous<br> _interval
- </p>
- </th>
- <th>
- <p>
- right_open<br> _interval
- </p>
- </th>
- <th>
- <p>
- left_open<br> _interval
- </p>
- </th>
- <th>
- <p>
- closed<br> _interval
- </p>
- </th>
- <th>
- <p>
- open<br> _interval
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- Interval bounds
- </p>
- </td>
- <td>
- <p>
- dynamic
- </p>
- </td>
- <td>
- <p>
- dynamic
- </p>
- </td>
- <td>
- <p>
- static
- </p>
- </td>
- <td>
- <p>
- static
- </p>
- </td>
- <td>
- <p>
- static
- </p>
- </td>
- <td>
- <p>
- static
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- Form
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- <p>
- asymmetric
- </p>
- </td>
- <td>
- <p>
- asymmetric
- </p>
- </td>
- <td>
- <p>
- symmetric
- </p>
- </td>
- <td>
- <p>
- symmetric
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span>
- </p>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- <td>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">exclusive_less</span><span class="special">(</span><span class="keyword">const</span>
- <span class="identifier">T</span><span class="special">&,</span>
- <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span></code>
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">lower_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">lower_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">lower_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- </pre>
- <p>
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">upper_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">upper_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">upper_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- </pre>
- <p>
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- <td>
- <p>
- 1
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- <p>
- A central role for the <span class="bold"><strong>icl</strong></span> plays the <code class="computeroutput"><span class="identifier">exclusive_less</span></code> ordering, which is used
- in all interval containers. The other orderings can be useful to simplify
- comparison of intervals specifically for dynamically bounded ones.
- </p>
- <div class="informaltable"><table class="table">
- <colgroup>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- <span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span>
- </p>
- </th>
- <th>
- <p>
- Description
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">exclusive_less</span><span class="special">(</span><span class="keyword">const</span>
- <span class="identifier">T</span><span class="special">&,</span>
- <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">exclusive_less</span><span class="special">(</span><span class="identifier">x1</span><span class="special">,</span> <span class="identifier">x2</span><span class="special">)</span></code> is true if every element of interval
- <code class="computeroutput"><span class="identifier">x1</span></code> is less than
- every element of interval <code class="computeroutput"><span class="identifier">x2</span></code>
- w.r.t. the the intervals <code class="computeroutput"><span class="identifier">Compare</span></code>
- ordering
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">lower_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">lower_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">lower_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- </pre>
- <p>
- </p>
- </td>
- <td>
- <p>
- Compares the beginnings of intervals.
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">lower_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x begins before y</span>
- <span class="identifier">lower_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x and y begin at the same element</span>
- <span class="identifier">lower_less_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">lower_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">||</span> <span class="identifier">lower_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">);</span>
- </pre>
- <p>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">upper_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">upper_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- <span class="keyword">bool</span> <span class="identifier">upper_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span>
- </pre>
- <p>
- </p>
- </td>
- <td>
- <p>
- Compares the endings of intervals.
- </p>
- <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">upper_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x ends before y</span>
- <span class="identifier">upper_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x and y end at the same element</span>
- <span class="identifier">upper_less_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">upper_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">||</span> <span class="identifier">upper_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">);</span>
- </pre>
- <p>
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- <p>
- <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span>
- </p>
- <div class="informaltable"><table class="table">
- <colgroup><col></colgroup>
- <thead><tr></tr></thead>
- <tbody><tr><td>
- <p>
- <a class="link" href="equivalences_and_orderings.html" title="Equivalences and Orderings"><span class="emphasis"><em><span class="bold"><strong>Equivalences and Orderings</strong></span></em></span></a>
- </p>
- </td></tr></tbody>
- </table></div>
- <p>
- <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
- </p>
- <div class="informaltable"><table class="table">
- <colgroup><col></colgroup>
- <thead><tr></tr></thead>
- <tbody>
- <tr><td>
- <p>
- <a class="link" href="../interface/function_synopsis.html#additional_interval_functions"><span class="emphasis"><em><span class="bold"><strong>Additional interval functions</strong></span></em></span></a>
- </p>
- </td></tr>
- <tr><td>
- <p>
- <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function
- Synopsis</strong></span></em></span></a>
- </p>
- </td></tr>
- <tr><td>
- <p>
- <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a>
- </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 © 2007-2010 Joachim
- Faulhaber<br>Copyright © 1999-2006 Cortex Software
- GmbH<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>
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