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| <div class="section boost_icl_function_reference_additional_interval_orderings" lang="en"> |
| <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"> |
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| <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> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </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> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
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| </p> |
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| <p> |
| </p> |
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| <p> |
| </p> |
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| <td> |
| <p> |
| </p> |
| </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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