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<title>Additional Interval Orderings</title>
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<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>
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<p>
T
</p>
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<p>
discrete<br> _interval
</p>
</th>
<th>
<p>
continuous<br> _interval
</p>
</th>
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right_open<br> _interval
</p>
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left_open<br> _interval
</p>
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<p>
closed<br> _interval
</p>
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<p>
open<br> _interval
</p>
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<p>
Interval bounds
</p>
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<p>
dynamic
</p>
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dynamic
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static
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static
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static
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static
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Form
</p>
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<p>
asymmetric
</p>
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<p>
asymmetric
</p>
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<p>
symmetric
</p>
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<p>
symmetric
</p>
</td>
</tr>
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<p>
<span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span>
</p>
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</p>
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</p>
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</p>
</td>
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<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>
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<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>
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<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>
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<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>
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</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>
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<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>
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<p>
<span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
</p>
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<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>
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<p>
<a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a>
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<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>)
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