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<title>Containedness</title>
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<div class="section boost_icl_function_reference_containedness" lang="en">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_icl.function_reference.containedness"></a><a class="link" href="containedness.html" title="Containedness">Containedness</a>
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</h3></div></div></div>
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<span class="emphasis"><em><span class="bold"><strong>Containedness</strong></span></em></span>
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intervals
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interval<br> sets
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interval<br> maps
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element<br> sets
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element<br> maps
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">empty</span><span class="special">()</span><span class="keyword">const</span></code>
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span></code>
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</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="keyword">bool</span>
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<span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</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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<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#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_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
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<a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
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<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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This group of functions refers to <span class="emphasis"><em><span class="bold"><strong>contain</strong></span></em></span>edness
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which should be fundamental to <span class="emphasis"><em><span class="bold"><strong>contain</strong></span></em></span>ers.
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The function <code class="computeroutput"><span class="identifier">contains</span></code> is
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overloaded. It covers different kinds of containedness: Containedness of
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elements, segments, and sub containers.
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</p>
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<div class="informaltable"><table class="table">
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<span class="emphasis"><em><span class="bold"><strong>Containedness</strong></span></em></span>
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</p>
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<span class="emphasis"><em>O(...)</em></span>
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Description
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">empty</span><span class="special">()</span><span class="keyword">const</span></code><br>
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&)</span></code>
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<span class="emphasis"><em>O(1)</em></span>
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Returns <code class="computeroutput"><span class="keyword">true</span></code>, if the
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container is empty, <code class="computeroutput"><span class="keyword">false</span></code>
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otherwise.
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<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</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="keyword">bool</span>
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<span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</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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<a class="link" href="containedness.html#complexities_contains"><span class="emphasis"><em>see below</em></span></a>
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Returns <code class="computeroutput"><span class="keyword">true</span></code>, if <code class="computeroutput"><span class="identifier">super</span></code> container contains object
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<code class="computeroutput"><span class="identifier">sub</span></code>.
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where
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<span class="emphasis"><em>n</em></span><code class="computeroutput"> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">sub</span><span class="special">)</span></code>
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<span class="emphasis"><em>m</em></span><code class="computeroutput"> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">super</span><span class="special">)</span></code>
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</p>
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<pre class="programlisting"><span class="comment">// overload tables for
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</span><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">)</span>
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<span class="keyword">bool</span> <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">)</span>
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<span class="identifier">element</span> <span class="identifier">containers</span><span class="special">:</span> <span class="identifier">interval</span> <span class="identifier">containers</span><span class="special">:</span>
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<span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
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<span class="special">--------+---</span> <span class="special">--------+-------</span>
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<span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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<span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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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 overloads of <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sup</span><span class="special">)</span></code> cover various kinds of containedness. We
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can group them into a part (1) that checks if an element, a segment or a
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container <span class="emphasis"><em>of same kinds</em></span> is contained in an element or
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interval container
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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">// (1) containedness of elements, segments or containers of same kind
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</span><span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
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<span class="special">---+--------</span> <span class="special">---+------------</span>
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<span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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<span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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</pre>
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<p>
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</p>
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<p>
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and another part (2) that checks the containedness of <span class="emphasis"><em>key objects</em></span>,
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which can be <span class="emphasis"><em>elements</em></span> an <span class="emphasis"><em>intervals</em></span>
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or a <span class="emphasis"><em>sets</em></span>.
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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">// (2) containedness of key objects.
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</span><span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
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<span class="special">---+--------</span> <span class="special">---+------------</span>
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<span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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<span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
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</pre>
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<p>
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</p>
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<p>
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For type <span class="bold"><strong>m</strong></span> = <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>,
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a key element (<span class="bold"><strong>m</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">domain_type</span></code>) and an <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>
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</a> (<span class="bold"><strong>m</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">set_type</span></code>) can be a <span class="emphasis"><em><span class="bold"><strong>key object</strong></span></em></span>.
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</p>
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<p>
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For an interval map type <span class="bold"><strong>M</strong></span>, a key element
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(<span class="bold"><strong>M</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">domain_type</span></code>), an interval (<span class="bold"><strong>M</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">interval_type</span></code>)
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and an <span class="emphasis"><em><span class="bold"><strong>interval set</strong></span></em></span>,
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can be <span class="emphasis"><em><span class="bold"><strong>key objects</strong></span></em></span>.
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</p>
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<a name="complexities_contains"></a><p>
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Complexity characteristics for function <code class="computeroutput"><span class="keyword">bool</span>
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<span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">)</span><span class="keyword">const</span></code> are
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|
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">super</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">sub</span><span class="special">);</span> <span class="comment">//if P is a container type
|
|
</span></pre>
|
|
<p>
|
|
</p>
|
|
<div class="table">
|
|
<a name="id1142930"></a><p class="title"><b>Table 1.19. Time Complexity for function contains on element
|
|
containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for function contains on element
|
|
containers">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">super</span><span class="special">,</span>
|
|
<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
|
|
<span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">super</span><span class="special">)</span></code>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
domain<br> mapping<br> type
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
std::set
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
icl::map
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break"><div class="table">
|
|
<a name="id1143771"></a><p class="title"><b>Table 1.20. Time Complexity for functions contains
|
|
and within on interval containers</b></p>
|
|
<div class="table-contents"><table class="table" summary="Time Complexity for functions contains
|
|
and within on interval containers">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
<code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">super</span><span class="special">,</span>
|
|
<span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
|
|
<span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span>
|
|
<span class="identifier">super</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>
|
|
</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>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code><br>
|
|
<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)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
interval_maps
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_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(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>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<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>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(log n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(n)</em></span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="emphasis"><em>O(m log n)</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"><p>
|
|
All overloads of containedness of containers in containers
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">)</span>
|
|
<span class="keyword">bool</span> <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">super</span><span class="special">)</span>
|
|
</pre>
|
|
<p>
|
|
are of <span class="emphasis"><em><span class="bold"><strong>loglinear</strong></span></em></span> time:
|
|
<span class="emphasis"><em>O(m log n)</em></span>. If both containers have same iterative_sizes
|
|
so that <span class="emphasis"><em>m = n</em></span> we have the worst case ( <span class="emphasis"><em>O(n
|
|
log n)</em></span> ). There is an alternative implementation that has a <span class="emphasis"><em><span class="bold"><strong>linear</strong></span></em></span> complexity of <span class="emphasis"><em>O(n+m)</em></span>.
|
|
The loglinear implementation has been chosen, because it can be faster, if
|
|
the container argument is small. In this case the loglinear implementation
|
|
approaches logarithmic behavior, whereas the linear implementation stays
|
|
linear.
|
|
</p>
|
|
<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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