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<div class="section boost_icl_function_reference_intersection" lang="en">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_icl.function_reference.intersection"></a><a class="link" href="intersection.html" title="Intersection">Intersection</a>
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</h3></div></div></div>
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<div class="toc"><dl>
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<dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.synopsis">Synopsis</a></span></dt>
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<dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.functions">Functions</a></span></dt>
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<dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.inplace_operators">Inplace
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operators</a></span></dt>
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<dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.infix_operators">Infix
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operators</a></span></dt>
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<dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.intersection_tester">Intersection
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tester</a></span></dt>
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</dl></div>
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<div class="section boost_icl_function_reference_intersection_synopsis" lang="en">
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<div class="titlepage"><div><div><h4 class="title">
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<a name="boost_icl.function_reference.intersection.synopsis"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.synopsis" title="Synopsis">Synopsis</a>
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</h4></div></div></div>
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<div class="informaltable"><table class="table">
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<p>
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Intersection
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</p>
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<th>
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<p>
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interval<br> 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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interval<br> sets
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</p>
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interval<br> maps
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</p>
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element<br> sets
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</p>
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<th>
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<p>
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element<br> maps
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</p>
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</tr></thead>
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<code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span>
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<span class="identifier">T</span><span class="special">&,</span>
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<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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</p>
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<p>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
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<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
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<span class="keyword">operator</span> <span class="special">&=(</span><span class="identifier">T</span><span class="special">&,</span>
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<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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</p>
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<p>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
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</p>
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<td>
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<p>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
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<p>
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<code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
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<span class="special">&</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span>
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<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span>
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<span class="keyword">operator</span> <span class="special">&</span>
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<span class="special">(</span><span class="keyword">const</span>
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<span class="identifier">P</span><span class="special">&,</span>
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<span class="identifier">T</span><span class="special">)</span></code>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<p>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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</p>
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<p>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
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</p>
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span>
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<span class="identifier">T</span><span class="special">&,</span>
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<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
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<span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span>
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<span class="identifier">P</span><span class="special">&)</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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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></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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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
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</p>
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</td>
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<p>
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Functions and operators that are related to <span class="emphasis"><em><span class="bold"><strong>intersection</strong></span></em></span>
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on <span class="bold"><strong>icl</strong></span> objects are given in the table
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above.
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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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</colgroup>
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<thead><tr>
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<p>
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</p>
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</th>
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<th>
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<p>
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Description of Intersection
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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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<td>
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<p>
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<code class="computeroutput"><span class="identifier">Sets</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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Intersection on Sets implements <span class="emphasis"><em><span class="bold"><strong>set
|
|
intersection</strong></span></em></span>
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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">Maps</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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Intersection on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map
|
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intersection</strong></span></em></span> function similar to <span class="emphasis"><em>set
|
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intersection</em></span>. If, on intersection, an element value
|
|
pair <code class="computeroutput"><span class="special">(</span><span class="identifier">k</span><span class="special">,</span><span class="identifier">v</span><span class="special">)</span></code> it's key <code class="computeroutput"><span class="identifier">k</span></code>
|
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is in the map already, the intersection function is propagated
|
|
to the associated value, if it exists for the Map's codomain_type.
|
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</p>
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<p>
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If the codomain_type has no intersection operation, associated
|
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values are combined using addition. For partial map types this
|
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results in an addition on the intersection of the domains of the
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intersected sets. For total maps intersection and addition are
|
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identical in this case.
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</p>
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<p>
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See also <a class="link" href="../semantics/quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.intersection_on_quantifiers"><span class="emphasis"><em>intersection
|
|
on Maps of numbers</em></span></a>.
|
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</p>
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<p>
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A Map can be intersected with key types: an element (an interval
|
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for interval_maps) and and a Set. This results in the selection
|
|
of a submap, and can be defined as a generalized selection function
|
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on Maps.
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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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<div class="section boost_icl_function_reference_intersection_functions" lang="en">
|
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<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.intersection.functions"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.functions" title="Functions">Functions</a>
|
|
</h4></div></div></div>
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<p>
|
|
The overloaded function
|
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</p>
|
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<p>
|
|
<code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">result</span><span class="special">,</span>
|
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<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">x</span><span class="special">)</span></code>
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</p>
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<p>
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allows to accumulate the intersection of <code class="computeroutput"><span class="identifier">y</span></code>
|
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and <code class="computeroutput"><span class="identifier">x</span></code> in the first argument
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<code class="computeroutput"><span class="identifier">result</span></code>. <code class="computeroutput"><span class="identifier">Result</span></code>
|
|
might already contain data. In this case the intersection of <code class="computeroutput"><span class="identifier">y</span></code> and <code class="computeroutput"><span class="identifier">x</span></code>
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is <code class="computeroutput"><span class="identifier">added</span></code> the the contents
|
|
of <code class="computeroutput"><span class="identifier">result</span></code>.
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</p>
|
|
<pre class="programlisting"><span class="identifier">T</span> <span class="identifier">s1</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">s2</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">g</span><span class="special">;</span> <span class="identifier">P</span> <span class="identifier">x</span> <span class="special">=</span> <span class="identifier">h</span><span class="special">;</span> <span class="comment">// The effect of
|
|
</span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">s1</span><span class="special">,</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// add_intersection
|
|
</span><span class="identifier">s2</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">y</span> <span class="special">&</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// and & followed by +=
|
|
</span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">s1</span><span class="special">==</span><span class="identifier">s2</span><span class="special">);</span> <span class="comment">// is identical
|
|
</span></pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
This might be convenient, if intersection is used like a generalized selection
|
|
function. Using element or segment types for <code class="computeroutput"><span class="identifier">P</span></code>,
|
|
we can select small parts of a container <code class="computeroutput"><span class="identifier">y</span></code>
|
|
and accumulate them in <code class="computeroutput"><span class="identifier">section</span></code>.
|
|
</p>
|
|
<p>
|
|
The admissible combinations of types for function <code class="computeroutput"><span class="keyword">void</span>
|
|
<span class="identifier">add_intersection</span><span class="special">(</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">const</span> <span class="identifier">P</span><span class="special">&)</span></code>
|
|
can be summarized in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span>
|
|
below. Compared to other overload tables, placements of function arguments
|
|
are different: Row headers denote type <code class="computeroutput"><span class="identifier">T</span></code>
|
|
of <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>
|
|
object. Columns headers denote type <code class="computeroutput"><span class="identifier">P</span></code>
|
|
of the second function argument. The table cells contain the arguments
|
|
<code class="computeroutput"><span class="identifier">T</span></code> of the intersections
|
|
<code class="computeroutput"><span class="identifier">result</span></code>, which is the functions
|
|
first argument.
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">/* overload table for */</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span>
|
|
<span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">result</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span> <span class="special">---+--------</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span>
|
|
<span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span>
|
|
<span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
The next table contains complexity characteristics for function <code class="computeroutput"><span class="identifier">add_intersection</span></code>.
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1173607"></a><p class="title"><b>Table 1.34. Time Complexity for function add_intersection
|
|
on icl containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for function add_intersection
|
|
on icl containers">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
<code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</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">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span></code>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section boost_icl_function_reference_intersection_inplace_operators" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.intersection.inplace_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.inplace_operators" title="Inplace operators">Inplace
|
|
operators</a>
|
|
</h4></div></div></div>
|
|
<p>
|
|
The overload tables below are giving admissible type combinations for the
|
|
intersection <code class="computeroutput"><span class="keyword">operator</span> <span class="special">&=</span></code>.
|
|
As for the overload patterns of <span class="emphasis"><em>subtraction</em></span> intersections
|
|
are possible within Sets and Maps but also for Maps combined with <span class="emphasis"><em>key
|
|
objects</em></span> which are <span class="emphasis"><em>key elements, intervals</em></span>
|
|
and <span class="emphasis"><em>Sets of keys</em></span>.
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers:
|
|
</span><span class="identifier">T</span><span class="special">&</span> <span class="keyword">operator</span> <span class="special">&=</span> <span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
|
|
<span class="special">---+--------</span> <span class="special">---+------------</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
While intersection on maps can be viewed as a <span class="emphasis"><em><span class="bold"><strong>generalisation
|
|
of set intersection</strong></span></em></span>. The combination on Maps and
|
|
Sets can be interpreted as a <span class="emphasis"><em><span class="bold"><strong>generalized
|
|
selection function</strong></span></em></span>, because it allows to select parts
|
|
of a maps using <span class="emphasis"><em>key</em></span> or <span class="emphasis"><em>selection objects</em></span>.
|
|
So we have a <span class="emphasis"><em><span class="bold"><strong>generalized intersection</strong></span></em></span>
|
|
for these overloads,
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">/* (Generalized) intersection */</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
|
|
<span class="special">---+--------</span> <span class="special">---+------------</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
<span class="bold"><strong>and</strong></span> a <span class="emphasis"><em><span class="bold"><strong>selection
|
|
by key objects</strong></span></em></span> here:
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">/* Selection by key objects */</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
|
|
<span class="special">---+--------</span> <span class="special">---+------------</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
The differences for the different functionalities of <code class="computeroutput"><span class="keyword">operator</span>
|
|
<span class="special">&=</span></code> are on the Map-row of the
|
|
tables. Both functionalities fall together for Sets in the function <span class="emphasis"><em><span class="bold"><strong>set intersection</strong></span></em></span>.
|
|
</p>
|
|
<p>
|
|
Complexity characteristics for inplace intersection operations are given
|
|
by the next tables where
|
|
</p>
|
|
<pre class="programlisting"><span class="identifier">n</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">y</span><span class="special">);</span>
|
|
<span class="identifier">m</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span> <span class="comment">//if P is a container type
|
|
</span></pre>
|
|
<p>
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1174719"></a><p class="title"><b>Table 1.35. Time Complexity for inplace intersection on element
|
|
containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection on element
|
|
containers">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
|
|
<span class="keyword">operator</span> <span class="special">&=</span>
|
|
<span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span>
|
|
<span class="identifier">P</span><span class="special">&</span>
|
|
<span class="identifier">x</span><span class="special">)</span></code>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
std::set
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
icl::map
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break"><div class="table">
|
|
<a name="id1174960"></a><p class="title"><b>Table 1.36. Time Complexity for inplace intersection
|
|
on interval containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection
|
|
on interval containers">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
|
|
<span class="keyword">operator</span> <span class="special">&=</span>
|
|
<span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span>
|
|
<span class="identifier">P</span><span class="special">&</span>
|
|
<span class="identifier">x</span><span class="special">)</span></code>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> sets
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
interval<br> maps
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
interval_sets
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log(n+m))</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
interval_maps
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log(n+m))</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log(n+m))</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section boost_icl_function_reference_intersection_infix_operators" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.intersection.infix_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.infix_operators" title="Infix operators">Infix
|
|
operators</a>
|
|
</h4></div></div></div>
|
|
<p>
|
|
For the <span class="bold"><strong>icl's</strong></span> infix intersection the following
|
|
overloads are available:
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers:
|
|
</span><span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">&</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">&</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&,</span> <span class="identifier">T</span><span class="special">)</span> <span class="special">---+--------</span> <span class="special">---+---------------------------</span>
|
|
<span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">b</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
To resolve ambiguities among interval containers the <span class="emphasis"><em><span class="bold"><strong>finer</strong></span></em></span> container type is chosen as result
|
|
type.
|
|
</p>
|
|
<p>
|
|
Again, we can split up the overload tables of <code class="computeroutput"><span class="keyword">operator</span>
|
|
<span class="special">&</span></code> in a part describing the
|
|
<span class="emphasis"><em>*generalized intersection</em></span> on interval containers and
|
|
a second part defining the <span class="emphasis"><em>*selection by key object</em></span>
|
|
functionality.
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">/* (Generalized) intersection */</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="special">---+--------</span> <span class="special">---+---------------------------</span>
|
|
<span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span>
|
|
<span class="identifier">b</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span>
|
|
<span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span>
|
|
<span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span>
|
|
<span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">/* Selection by key objects */</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="special">---+--------</span> <span class="special">---+---------------------------</span>
|
|
<span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">b</span> <span class="special">|</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span>
|
|
<span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
|
|
<span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span>
|
|
<span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
</div>
|
|
<div class="section boost_icl_function_reference_intersection_intersection_tester" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.intersection.intersection_tester"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.intersection_tester" title="Intersection tester">Intersection
|
|
tester</a>
|
|
</h4></div></div></div>
|
|
<div class="informaltable"><table class="table">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Tester
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Desctription
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span>
|
|
<span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">left</span><span class="special">,</span>
|
|
<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
Tests, if <code class="computeroutput"><span class="identifier">left</span></code>
|
|
and <code class="computeroutput"><span class="identifier">right</span></code> intersect.
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span>
|
|
<span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">left</span><span class="special">,</span>
|
|
<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
Tests, if <code class="computeroutput"><span class="identifier">left</span></code>
|
|
and <code class="computeroutput"><span class="identifier">right</span></code> are disjoint.
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><span class="identifier">intersects</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="special">!</span><span class="identifier">disjoint</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span></code>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">intersects</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">P</span><span class="special">&)</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
|
|
<span class="keyword">bool</span> <span class="identifier">disjoint</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">P</span><span class="special">&)</span> <span class="special">---+--------</span> <span class="special">---+------------</span>
|
|
<span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
|
|
<span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
</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="symmetric_difference.html" title="Symmetric Difference"><span class="emphasis"><em><span class="bold"><strong>Symmetric difference</strong></span></em></span></a>
|
|
</p>
|
|
</td></tr>
|
|
<tr><td>
|
|
<p>
|
|
<a class="link" href="subtraction.html" title="Subtraction"><span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span></a>
|
|
</p>
|
|
</td></tr>
|
|
<tr><td>
|
|
<p>
|
|
<a class="link" href="addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</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#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>
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<td align="right"><div class="copyright-footer">Copyright © 2007 -2010 Joachim Faulhaber<br>Copyright © 1999 -2006 Cortex Software GmbH<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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