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<div class="section boost_icl_function_reference_addition" lang="en">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_icl.function_reference.addition"></a><a class="link" href="addition.html" title="Addition">Addition</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="addition.html#boost_icl.function_reference.addition.synopsis">Synopsis</a></span></dt>
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<dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.functions">Functions</a></span></dt>
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<dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.inplace_operators">Inplace
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operators</a></span></dt>
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<dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.infix_operators">Infix
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operators</a></span></dt>
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</dl></div>
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<div class="section boost_icl_function_reference_addition_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.addition.synopsis"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.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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<thead><tr>
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<p>
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Addition
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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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</th>
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<th>
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<p>
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interval<br> maps
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</p>
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</th>
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<th>
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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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</th>
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</tr></thead>
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<tbody>
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<tr>
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<p>
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<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
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<span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code>
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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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</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#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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</p>
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<p>
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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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</p>
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</td>
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<td>
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<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
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<span class="identifier">add</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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</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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</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#interval_mapping_type"><span class="bold"><strong>p</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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</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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</p>
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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">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span>
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<span class="identifier">pos</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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</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#interval_mapping_type"><span class="bold"><strong>p</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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</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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</p>
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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">J</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="identifier">J</span>
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<span class="identifier">pos</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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</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#interval_mapping_type"><span class="bold"><strong>p</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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</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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</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">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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</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_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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</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">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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</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_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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</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">T</span><span class="special">&</span>
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<span class="keyword">operator</span> <span class="special">|=(</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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</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_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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</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">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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</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_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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</tr>
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</tbody>
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</table></div>
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<p>
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Functions and operators that implement <span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span>
|
|
on <span class="bold"><strong>icl</strong></span> objects are given in the table
|
|
above. <code class="computeroutput"><span class="keyword">operator</span> <span class="special">|=</span></code>
|
|
and <code class="computeroutput"><span class="keyword">operator</span> <span class="special">|</span></code>
|
|
are behavioral identical to <code class="computeroutput"><span class="keyword">operator</span>
|
|
<span class="special">+=</span></code> and <code class="computeroutput"><span class="keyword">operator</span>
|
|
<span class="special">+</span></code>. This is a redundancy that has
|
|
been introduced deliberately, because a <span class="emphasis"><em>set union</em></span>
|
|
semantics is often attached <code class="computeroutput"><span class="identifier">operators</span>
|
|
<span class="special">|=</span></code> and <code class="computeroutput"><span class="special">|</span></code>.
|
|
</p>
|
|
<div class="informaltable"><table class="table">
|
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<colgroup>
|
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<col>
|
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<col>
|
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</colgroup>
|
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<thead><tr>
|
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<th>
|
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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>
|
|
Description of Addition
|
|
</p>
|
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</th>
|
|
</tr></thead>
|
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<tbody>
|
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<tr>
|
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<td>
|
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<p>
|
|
<code class="computeroutput"><span class="identifier">Sets</span></code>
|
|
</p>
|
|
</td>
|
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<td>
|
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<p>
|
|
Addition on Sets implements <span class="emphasis"><em><span class="bold"><strong>set
|
|
union</strong></span></em></span>
|
|
</p>
|
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</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><span class="identifier">Maps</span></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
Addition on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map
|
|
union</strong></span></em></span> function similar to <span class="emphasis"><em>set union</em></span>.
|
|
If, on insertion of 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> is in
|
|
the map already, the addition function is propagated to the associated
|
|
value. This functionality has been introduced as <span class="emphasis"><em>aggregate
|
|
on collision</em></span> for element maps and <span class="emphasis"><em>aggregate
|
|
on overlap</em></span> for interval maps.
|
|
</p>
|
|
<p>
|
|
Find more on <a class="link" href="../concepts/aggrovering.html" title="Addability, Subtractability and Aggregate on Overlap"><span class="emphasis"><em>addability
|
|
of maps</em></span></a> and related <a class="link" href="../semantics/maps.html" title="Maps"><span class="emphasis"><em>semantic
|
|
issues</em></span></a> following the links.
|
|
</p>
|
|
<p>
|
|
Examples, demonstrating Addition on interval containers are <a class="link" href="../examples/overlap_counter.html" title="Overlap counter"><span class="emphasis"><em>overlap
|
|
counter</em></span></a>, <a class="link" href="../examples/party.html" title="Party"><span class="emphasis"><em>party</em></span></a>
|
|
and <a class="link" href="../examples/partys_height_average.html" title="Party's height average"><span class="emphasis"><em>party's
|
|
height average.</em></span></a>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
<p>
|
|
For <code class="computeroutput"><span class="identifier">Sets</span></code> <span class="emphasis"><em><span class="bold"><strong>addition</strong></span></em></span> and <span class="emphasis"><em><span class="bold"><strong>insertion</strong></span></em></span>
|
|
are implemented identically. Functions <code class="computeroutput"><span class="identifier">add</span></code>
|
|
and <code class="computeroutput"><span class="identifier">insert</span></code> collapse to
|
|
the same function. For <code class="computeroutput"><span class="identifier">Maps</span></code>
|
|
<span class="emphasis"><em><span class="bold"><strong>addition</strong></span></em></span> and <span class="emphasis"><em><span class="bold"><strong>insertion</strong></span></em></span> work differently. Function
|
|
<code class="computeroutput"><span class="identifier">add</span></code> performs aggregations
|
|
on collision or overlap, while function <code class="computeroutput"><span class="identifier">insert</span></code>
|
|
only inserts values that do not yet have key values.
|
|
</p>
|
|
</div>
|
|
<div class="section boost_icl_function_reference_addition_functions" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.addition.functions"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.functions" title="Functions">Functions</a>
|
|
</h4></div></div></div>
|
|
<p>
|
|
The admissible combinations of types for member function <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</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:
|
|
</p>
|
|
<p>
|
|
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">// overload table for T\P| e i b p
|
|
</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</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="identifier">T</span><span class="special">&</span> <span class="identifier">add</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="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">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>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
The next table contains complexity characteristics for <code class="computeroutput"><span class="identifier">add</span></code>.
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1155216"></a><p class="title"><b>Table 1.21. Time Complexity for member function add on icl
|
|
containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for member function add on icl
|
|
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="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> <span class="identifier">add</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></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>
|
|
</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_set</a></code><br>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>amortized<br> O(log 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/split_interval_set.html" title="Class template split_interval_set">split_interval_set</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_map</a></code><br>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_map.html" title="Class template split_interval_map">split_interval_map</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</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>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break"><a name="boost_icl.function_reference.addition.functions.hinted_addition"></a><h6>
|
|
<a name="id1155640"></a>
|
|
<a class="link" href="addition.html#boost_icl.function_reference.addition.functions.hinted_addition">Hinted
|
|
addition</a>
|
|
</h6>
|
|
<p>
|
|
Function <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">prior</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">addend</span><span class="special">)</span></code>
|
|
allows for an addition in <span class="emphasis"><em><span class="bold"><strong>constant time</strong></span></em></span>,
|
|
if <code class="computeroutput"><span class="identifier">addend</span></code> can be inserted
|
|
right after iterator <code class="computeroutput"><span class="identifier">prior</span></code>
|
|
without collision. If this is not possible the complexity characteristics
|
|
are as stated for the non hinted addition above. Hinted addition is available
|
|
for these combinations of types:
|
|
</p>
|
|
<pre class="programlisting"><span class="comment">// overload table for addition with hint T\P| e i b p
|
|
</span><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">prior</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="identifier">J</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="identifier">J</span> <span class="identifier">prior</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</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">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>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
</div>
|
|
<div class="section boost_icl_function_reference_addition_inplace_operators" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.addition.inplace_operators"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.inplace_operators" title="Inplace operators">Inplace
|
|
operators</a>
|
|
</h4></div></div></div>
|
|
<p>
|
|
The possible overloads of inplace <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="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> are given by two tables, that show
|
|
admissible combinations of types. Row types show instantiations of argument
|
|
type <code class="computeroutput"><span class="identifier">T</span></code>. Columns types show
|
|
show instantiations of argument type <code class="computeroutput"><span class="identifier">P</span></code>.
|
|
If a combination of argument types is possible, the related table cell
|
|
contains the result type of the operation. <a class="link" href="../interface/function_synopsis.html#element_type">Placeholders</a>
|
|
<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
|
|
<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#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
|
|
<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
|
|
<a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</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#itl_map_type"><span class="bold"><strong>m</strong></span></a>
|
|
<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
|
|
will be used to denote <span class="emphasis"><em>elements, intervals, element value pairs,
|
|
interval value pairs, element sets, interval sets, element maps</em></span>
|
|
and <span class="emphasis"><em>interval maps</em></span>. The first table shows the overloads
|
|
of <code class="computeroutput"><span class="special">+=</span></code> for <span class="emphasis"><em>element
|
|
containers</em></span> the second table refers to <span class="emphasis"><em>interval containers</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="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
|
</pre>
|
|
<p>
|
|
</p>
|
|
<p>
|
|
For the definition of admissible overloads we separate <span class="emphasis"><em>element
|
|
containers</em></span> from <span class="emphasis"><em>interval containers</em></span>. Within
|
|
each group all combinations of types are supported for an operation, that
|
|
are in line with the <span class="bold"><strong>icl's</strong></span> design and
|
|
the sets of laws, that establish the <span class="bold"><strong>icl's</strong></span>
|
|
<a class="link" href="../semantics.html" title="Semantics">semantics</a>.
|
|
</p>
|
|
<p>
|
|
Overloads between <span class="emphasis"><em>element containers</em></span> and <span class="emphasis"><em>interval
|
|
containers</em></span> could also be defined. But this has not been done
|
|
for pragmatical reasons: Each additional combination of types for an operation
|
|
enlarges the space of possible overloads. This makes the overload resolution
|
|
by compilers more complex, error prone and slows down compilation speed.
|
|
Error messages for unresolvable or ambiguous overloads are difficult to
|
|
read and understand. Therefore overloading of namespace global functions
|
|
in the <span class="bold"><strong>icl</strong></span> are limited to a reasonable
|
|
field of combinations, that are described here.
|
|
</p>
|
|
</div>
|
|
<a name="boost_icl.function_reference.addition.complexity"></a><h5>
|
|
<a name="id1156317"></a>
|
|
<a class="link" href="addition.html#boost_icl.function_reference.addition.complexity">Complexity</a>
|
|
</h5>
|
|
<p>
|
|
For different combinations of argument types <code class="computeroutput"><span class="identifier">T</span></code>
|
|
and <code class="computeroutput"><span class="identifier">P</span></code> different implementations
|
|
of the <code class="computeroutput"><span class="keyword">operator</span> <span class="special">+=</span></code>
|
|
are selected. These implementations show different complexity characteristics.
|
|
If <code class="computeroutput"><span class="identifier">T</span></code> is a container type,
|
|
the combination of domain elements (<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>) or element value pairs (<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>) is faster than a combination of intervals
|
|
(<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>)
|
|
or interval value pairs (<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>) which in turn is faster than the combination
|
|
of element or interval containers. The next table shows <span class="emphasis"><em>time complexities</em></span>
|
|
of addition for <span class="bold"><strong>icl's</strong></span> element containers.
|
|
</p>
|
|
<p>
|
|
Sizes <code class="computeroutput"><span class="identifier">n</span></code> and <code class="computeroutput"><span class="identifier">m</span></code> are in the complexity statements are
|
|
sizes of objects <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">y</span></code>
|
|
and <code class="computeroutput"><span class="identifier">P</span> <span class="identifier">x</span></code>:
|
|
|
|
</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>
|
|
Note, that for an interval container the number of elements <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">size</span></code>
|
|
is different from the number of intervals that you can iterate over. Therefore
|
|
a function <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">iterative_size</span><span class="special">()</span></code>
|
|
is used that provides the desired kind of size.
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1157636"></a><p class="title"><b>Table 1.22. Time Complexity for inplace Addition on element
|
|
containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for inplace Addition 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>
|
|
__ch_icl<span class="underline">sets</span><span class="underline">][</span>_ch_icl<span class="underline">maps</span>_
|
|
</p>
|
|
</th>
|
|
<td class="auto-generated"> </td>
|
|
</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)</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>
|
|
</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)</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break"><p>
|
|
Time complexity characteristics of inplace addition for interval containers
|
|
is given by this table.
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1157881"></a><p class="title"><b>Table 1.23. Time Complexity for inplace Addition on interval
|
|
containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for inplace Addition on interval
|
|
containers">
|
|
<colgroup>
|
|
<col>
|
|
<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>
|
|
</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>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_set</a></code><br>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>amortized<br> O(log 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>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_set</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>
|
|
<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>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</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>
|
|
<span class="emphasis"><em>O(m log(n+m))</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break"><p>
|
|
Since the implementation of element and interval containers is based on the
|
|
<a class="link" href="../implementation.html" title="Implementation">link red-black tree implementation</a>
|
|
of std::AssociativeContainers, we have a logarithmic complexity for addition
|
|
of elements. Addition of intervals or interval value pairs is amortized logarithmic
|
|
for <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code> and
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_sets</a></code>
|
|
and linear for <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_sets</a></code>
|
|
and <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code>.
|
|
Addition is linear for element containers and loglinear for interval containers.
|
|
</p>
|
|
<div class="section boost_icl_function_reference_addition_infix_operators" lang="en">
|
|
<div class="titlepage"><div><div><h4 class="title">
|
|
<a name="boost_icl.function_reference.addition.infix_operators"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.infix_operators" title="Infix operators">Infix
|
|
operators</a>
|
|
</h4></div></div></div>
|
|
<p>
|
|
The admissible type combinations for infix <code class="computeroutput"><span class="keyword">operator</span>
|
|
<span class="special">+</span></code> are defined by the overload tables
|
|
below.
|
|
</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">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">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>
|
|
</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="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="insertion.html" title="Insertion"><span class="emphasis"><em><span class="bold"><strong>Insertion</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>
|
|
<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>
|
|
</div></td>
|
|
</tr></table>
|
|
<hr>
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