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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_icl.function_reference.subtraction"></a><a class="link" href="subtraction.html" title="Subtraction">Subtraction</a>
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</h3></div></div></div>
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<div class="toc"><dl class="toc">
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<dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.synopsis">Synopsis</a></span></dt>
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<dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.functions">Functions</a></span></dt>
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<dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.inplace_operators">Inplace
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operators</a></span></dt>
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<dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.infix_operators">Infix
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operators</a></span></dt>
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<dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.subtraction_on_intervals">Subtraction
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on Intervals</a></span></dt>
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</dl></div>
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<div class="section">
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<div class="titlepage"><div><div><h4 class="title">
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<a name="boost_icl.function_reference.subtraction.synopsis"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.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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<colgroup>
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<thead><tr>
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<p>
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Subtraction
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</p>
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</th>
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<th>
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<p>
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intervals
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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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<p>
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element<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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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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<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">subtract</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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</td>
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<td>
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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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</td>
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<td>
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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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<p>
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<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
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<span class="identifier">subtract</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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</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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</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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</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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<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>
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</p>
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</td>
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<td>
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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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</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="identifier">left_subtract</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></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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1
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</p>
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</td>
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<td>
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</td>
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<td>
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</td>
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</td>
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</td>
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<p>
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<code class="computeroutput"><span class="identifier">T</span> <span class="identifier">right_subtract</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></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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1
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</p>
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</td>
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<td>
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</td>
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<td>
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</td>
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<td>
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</td>
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</td>
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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>Subtraction</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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<thead><tr>
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<th>
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<p>
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Description of Subtraction
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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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<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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Subtraction on Sets implements <span class="emphasis"><em><span class="bold"><strong>set
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difference</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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Subtraction on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map
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difference</strong></span></em></span> function similar to <span class="emphasis"><em>set
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difference</em></span>. If, on subtraction of an element value
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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 subtraction function is propagated
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to the associated value. On the associated value an aggregation
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is performed, that reverses the effect of the corresponding addition
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function.
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</p>
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<p>
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Find more on <a class="link" href="../concepts/aggrovering.html" title="Addability, Subtractability and Aggregate on Overlap"><span class="emphasis"><em>subtractability
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of maps</em></span></a> and related <a class="link" href="../semantics/maps.html" title="Maps"><span class="emphasis"><em>semantic
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issues</em></span></a> following the links.
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</p>
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</td>
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</tr>
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</tbody>
|
||
</table></div>
|
||
</div>
|
||
<div class="section">
|
||
<div class="titlepage"><div><div><h4 class="title">
|
||
<a name="boost_icl.function_reference.subtraction.functions"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.functions" title="Functions">Functions</a>
|
||
</h4></div></div></div>
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<p>
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The admissible combinations of types for subtraction functions can be summarized
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in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span>
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below:
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</p>
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<p>
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</p>
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<pre class="programlisting"><span class="comment">// overload table for T\P| e i b p </span>
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<span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">subtract</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">---+--------</span>
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<span class="identifier">T</span><span class="special">&</span> <span class="identifier">subtract</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>
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<span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span>
|
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<span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span>
|
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<span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span>
|
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</pre>
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<p>
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</p>
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<p>
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The next table contains complexity characteristics for <code class="computeroutput"><span class="identifier">subtract</span></code>.
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</p>
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<div class="table">
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||
<a name="boost_icl.function_reference.subtraction.functions.t0"></a><p class="title"><b>Table 1.24. Time Complexity for function subtract on icl containers</b></p>
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<div class="table-contents"><table class="table" summary="Time Complexity for function subtract on icl containers">
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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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<code class="computeroutput"><span class="identifier">T</span><span class="special">&</span>
|
||
<span class="identifier">T</span><span class="special">::</span><span class="identifier">subtract</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">subtract</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>
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</p>
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</th>
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<th>
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<p>
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domain<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> 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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domain<br> mapping<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> mapping<br> type
|
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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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<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>
|
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</p>
|
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</td>
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<td>
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<p>
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<span class="emphasis"><em>O(log n)</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</td>
|
||
<td>
|
||
</td>
|
||
<td>
|
||
</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>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<span class="emphasis"><em>O(log n)</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</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>amortized<br> O(log n)</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</td>
|
||
<td>
|
||
</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(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">
|
||
</div>
|
||
<div class="section">
|
||
<div class="titlepage"><div><div><h4 class="title">
|
||
<a name="boost_icl.function_reference.subtraction.inplace_operators"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.inplace_operators" title="Inplace operators">Inplace
|
||
operators</a>
|
||
</h4></div></div></div>
|
||
<p>
|
||
As presented in the overload tables for <code class="computeroutput"><span class="keyword">operator</span>
|
||
<span class="special">-=</span></code> more type combinations are provided
|
||
for subtraction than for addition.
|
||
</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>
|
||
Subtraction provides the <span class="emphasis"><em>reverse</em></span> operation of an addition
|
||
for these overloads,
|
||
</p>
|
||
<p>
|
||
</p>
|
||
<pre class="programlisting"><span class="comment">// Reverse addition -= | e b s m -= | e i b p S 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> you can erase parts of <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::maps</a></code> or <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code>
|
||
using <span class="emphasis"><em>key values</em></span>, <span class="emphasis"><em>intervals</em></span> or
|
||
<span class="emphasis"><em>element or interval sets</em></span> using these overloads:
|
||
</p>
|
||
<p>
|
||
</p>
|
||
<pre class="programlisting"><span class="comment">// Erasure by key objects -= | e b s m -= | e i b p S 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>
|
||
On Sets both function groups fall together as <span class="emphasis"><em><span class="bold"><strong>set
|
||
difference</strong></span></em></span>.
|
||
</p>
|
||
<p>
|
||
Complexity characteristics for inplace subtraction 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="boost_icl.function_reference.subtraction.inplace_operators.t0"></a><p class="title"><b>Table 1.25. Time Complexity for inplace Subtraction on element containers</b></p>
|
||
<div class="table-contents"><table class="table" summary="Time Complexity for inplace Subtraction 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="keyword">const</span>
|
||
<span class="identifier">P</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>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<span class="emphasis"><em>O(m log n)</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</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="boost_icl.function_reference.subtraction.inplace_operators.t1"></a><p class="title"><b>Table 1.26. Time Complexity for inplace Subtraction on interval containers</b></p>
|
||
<div class="table-contents"><table class="table" summary="Time Complexity for inplace Subtraction 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="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>
|
||
<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>amortized<br> O(log n)</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</td>
|
||
<td>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<span class="emphasis"><em>O(m log(n+m))</em></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
</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>amortized<br> 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(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">
|
||
<div class="titlepage"><div><div><h4 class="title">
|
||
<a name="boost_icl.function_reference.subtraction.infix_operators"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.infix_operators" title="Infix operators">Infix
|
||
operators</a>
|
||
</h4></div></div></div>
|
||
<p>
|
||
The admissible overloads for the infix <span class="emphasis"><em>subtraction</em></span>
|
||
<code class="computeroutput"><span class="keyword">operator</span> <span class="special">-</span></code>
|
||
which is a non commutative operation is given by the next overload table.
|
||
</p>
|
||
<p>
|
||
</p>
|
||
<pre class="programlisting"><span class="comment">// overload tables for - | e b s m - | e i b p S M </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">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>
|
||
</div>
|
||
<div class="section">
|
||
<div class="titlepage"><div><div><h4 class="title">
|
||
<a name="boost_icl.function_reference.subtraction.subtraction_on_intervals"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.subtraction_on_intervals" title="Subtraction on Intervals">Subtraction
|
||
on Intervals</a>
|
||
</h4></div></div></div>
|
||
<div class="informaltable"><table class="table">
|
||
<colgroup>
|
||
<col>
|
||
<col>
|
||
<col>
|
||
</colgroup>
|
||
<thead><tr>
|
||
<th>
|
||
<p>
|
||
<span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span>
|
||
</p>
|
||
</th>
|
||
<th>
|
||
<p>
|
||
Types
|
||
</p>
|
||
</th>
|
||
<th>
|
||
<p>
|
||
Description
|
||
</p>
|
||
</th>
|
||
</tr></thead>
|
||
<tbody>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">T</span> <span class="identifier">left_subtract</span><span class="special">(</span><span class="identifier">T</span>
|
||
<span class="identifier">right</span><span class="special">,</span>
|
||
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">left_minuend</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
subtract <code class="computeroutput"><span class="identifier">left_minuend</span></code>
|
||
from the interval <code class="computeroutput"><span class="identifier">right</span></code>
|
||
on it's left side.
|
||
</p>
|
||
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">right_over</span> <span class="special">=</span> <span class="identifier">left_subtract</span><span class="special">(</span><span class="identifier">right</span><span class="special">,</span> <span class="identifier">left_minuend</span><span class="special">);</span>
|
||
<span class="special">...</span> <span class="identifier">d</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">right</span>
|
||
<span class="special">...</span> <span class="identifier">c</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">left_minuend</span>
|
||
<span class="special">[</span><span class="identifier">c</span> <span class="identifier">d</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">right_over</span>
|
||
</pre>
|
||
<p>
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">T</span> <span class="identifier">right_subtract</span><span class="special">(</span><span class="identifier">T</span>
|
||
<span class="identifier">left</span><span class="special">,</span>
|
||
<span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">right_minuend</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
subtract <code class="computeroutput"><span class="identifier">right_minuend</span></code>
|
||
from the interval <code class="computeroutput"><span class="identifier">left</span></code>
|
||
on it's right side.
|
||
</p>
|
||
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">left_over</span> <span class="special">=</span> <span class="identifier">right_subtract</span><span class="special">(</span><span class="identifier">left</span><span class="special">,</span> <span class="identifier">right_minuend</span><span class="special">);</span>
|
||
<span class="special">[</span><span class="identifier">a</span> <span class="special">...</span> <span class="special">:</span> <span class="identifier">left</span>
|
||
<span class="special">[</span><span class="identifier">b</span> <span class="special">...</span> <span class="special">:</span> <span class="identifier">right_minuend</span>
|
||
<span class="special">[</span><span class="identifier">a</span> <span class="identifier">b</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">left_over</span>
|
||
</pre>
|
||
<p>
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table></div>
|
||
</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="addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span></a>
|
||
</p>
|
||
</td></tr>
|
||
<tr><td>
|
||
<p>
|
||
<a class="link" href="erasure.html" title="Erasure"><span class="emphasis"><em><span class="bold"><strong>Erasure</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>
|
||
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|
||
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|
||
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