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<title>Range</title>
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<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_icl.function_reference.range"></a><a class="link" href="range.html" title="Range">Range</a>
</h3></div></div></div>
<div class="informaltable"><table class="table">
<colgroup>
<col>
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<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  <span class="emphasis"><em><span class="bold"><strong>Range</strong></span></em></span>
                </p>
              </th>
<th>
                <p>
                  intervals
                </p>
              </th>
<th>
                <p>
                  interval<br> sets
                </p>
              </th>
<th>
                <p>
                  interval<br> maps
                </p>
              </th>
<th>
                <p>
                  condition
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">interval_type</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;,</span>
                  <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
              </td>
<td>
              </td>
<td>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">is_discrete</span><span class="special">&lt;</span><span class="identifier">domain_type</span><span class="special">&gt;::</span><span class="identifier">value</span></code>
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <span class="emphasis"><em>O(1)</em></span>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">is_discrete</span><span class="special">&lt;</span><span class="identifier">domain_type</span><span class="special">&gt;::</span><span class="identifier">value</span></code>
                </p>
              </td>
</tr>
</tbody>
</table></div>
<p>
        The table above shows the availability of functions <code class="computeroutput"><span class="identifier">hull</span></code>,
        <code class="computeroutput"><span class="identifier">lower</span></code>, <code class="computeroutput"><span class="identifier">upper</span></code>,
        <code class="computeroutput"><span class="identifier">first</span></code> and <code class="computeroutput"><span class="identifier">last</span></code>
        on intervals and interval containers that are all of <span class="emphasis"><em><span class="bold"><strong>constant time complexity</strong></span></em></span>. Find the functions
        description and some simple properties below.
      </p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  <span class="emphasis"><em><span class="bold"><strong>Range</strong></span></em></span>
                </p>
              </th>
<th>
                <p>
                  Types
                </p>
              </th>
<th>
                <p>
                  Description
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">interval_type</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  returns the smallest interval that contains all intervals of an
                  interval container <code class="computeroutput"><span class="identifier">x</span></code>.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;,</span>
                  <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">hull</span><span class="special">(</span><span class="identifier">i</span><span class="special">,</span><span class="identifier">j</span><span class="special">)</span></code>
                  returns the smallest interval that contains intervals <code class="computeroutput"><span class="identifier">i</span></code> abd 'j'.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">lower</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  returns the lower bound of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">upper</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  returns the upper bound of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">first</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  returns the first element of an interval or interval container
                  <code class="computeroutput"><span class="identifier">x</span></code>. <code class="computeroutput"><span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code> is defined for a discrete
                  <code class="computeroutput"><span class="identifier">domain_type</span></code> only.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span>
                  <span class="identifier">T</span><span class="special">&amp;)</span></code>
                </p>
              </td>
<td>
                <p>
                  <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                  <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">last</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  returns the last element of an interval or interval container
                  <code class="computeroutput"><span class="identifier">x</span></code>. <code class="computeroutput"><span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code> is defined for a discrete
                  <code class="computeroutput"><span class="identifier">domain_type</span></code> only.
                </p>
              </td>
</tr>
</tbody>
</table></div>
<p>
</p>
<pre class="programlisting"><span class="comment">// for interval_containers x:</span>
<span class="identifier">lower</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">lower</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">upper</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">upper</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">first</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">first</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">last</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span>  <span class="special">==</span> <span class="identifier">last</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
</pre>
<p>
      </p>
<p>
        <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
      </p>
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                  Synopsis</strong></span></em></span></a>
                </p>
              </td></tr>
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                  <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 &#169; 2007-2010 Joachim
      Faulhaber<br>Copyright &#169; 1999-2006 Cortex Software
      GmbH<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
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