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<div class="section boost_icl_implementation" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="boost_icl.implementation"></a><a class="link" href="implementation.html" title="Implementation">Implementation</a>
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</h2></div></div></div>
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<div class="toc"><dl>
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<dt><span class="section"><a href="implementation.html#boost_icl.implementation.iterative_size">Iterative size</a></span></dt>
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<dt><span class="section"><a href="implementation/complexity.html">Complexity</a></span></dt>
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<dt><span class="section"><a href="implementation/inplace_and_infix_operators.html">Inplace
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and infix operators</a></span></dt>
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</dl></div>
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<p>
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The <a class="link" href="interface.html" title="Interface">previous section</a> gave an overview
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over the interface of the <span class="bold"><strong>icl</strong></span> outlining <a class="link" href="interface.html#boost_icl.interface.class_templates" title="Class templates">class templates</a>, <a class="link" href="interface/associated_types.html" title="Associated Types">associated types</a> and
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polymorphic <a class="link" href="interface/function_synopsis.html" title="Function Synopsis">functions
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and operators</a>. In preparation to the <a class="link" href="function_reference.html" title="Function Reference">next
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section</a>, that describes the <span class="bold"><strong>icl's</strong></span> polymorphic
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functions in more detail together with <span class="emphasis"><em><span class="bold"><strong>complexity
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characteristics</strong></span></em></span>, this section summarizes some general
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information on implementation and performance.
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</p>
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<a name="boost_icl.implementation.stl_based_implementation"></a><h6>
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<a name="id1130357"></a>
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<a class="link" href="implementation.html#boost_icl.implementation.stl_based_implementation">STL based
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implementation</a>
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</h6>
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<p>
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The <span class="bold"><strong>implementation</strong></span> of the <span class="bold"><strong>icl's</strong></span>
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containers is based on <span class="bold"><strong>std::set</strong></span> and <span class="bold"><strong>std::map</strong></span>. So the underlying data structure of interval
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containers is a red black tree of intervals or interval value pairs. The element
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containers <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> and <code class="computeroutput"><a class="link" href="../boost/icl/map.html" title="Class template map">icl::map</a></code> are wrapper
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classes of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">map</span></code>. Interval
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containers are then using <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">sets</span></code></a>
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of intervals or <code class="computeroutput"><a class="link" href="../boost/icl/map.html" title="Class template map">icl::maps</a></code> of interval
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value pairs as implementing containers. So all the <span class="emphasis"><em><span class="bold"><strong>complexity
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characteristics</strong></span></em></span> of icl containers are based on and limited
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by the <span class="emphasis"><em><span class="bold"><strong>red-black tree implementation</strong></span></em></span>
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of the underlying std::AssociativeContainers.
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</p>
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<div class="section boost_icl_implementation_iterative_size" lang="en">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_icl.implementation.iterative_size"></a><a class="link" href="implementation.html#boost_icl.implementation.iterative_size" title="Iterative size">Iterative size</a>
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</h3></div></div></div>
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<p>
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Throughout the documentation on complexity, big <span class="emphasis"><em>O</em></span> expressions
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like <span class="emphasis"><em>O(n)</em></span> or <span class="emphasis"><em>O(m log n)</em></span> refer to
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container sizes <span class="emphasis"><em>n</em></span> and <span class="emphasis"><em>m</em></span>. In this
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documentation these sizes <span class="emphasis"><em><span class="bold"><strong>do not</strong></span></em></span>
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denote to the familiar <code class="computeroutput"><span class="identifier">size</span></code>
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function that returns the <span class="emphasis"><em><span class="bold"><strong>number of elements</strong></span></em></span>
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of a container. Because for an interval container
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</p>
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<pre class="programlisting"><span class="identifier">interval_set</span><span class="special"><</span><span class="keyword">int</span><span class="special">></span> <span class="identifier">mono</span><span class="special">;</span>
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<span class="identifier">mono</span> <span class="special">+=</span> <span class="identifier">interval</span><span class="special"><</span><span class="keyword">int</span><span class="special">>::</span><span class="identifier">closed</span><span class="special">(</span><span class="number">1</span><span class="special">,</span><span class="number">5</span><span class="special">);</span> <span class="comment">// {[1 ... 5]}
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</span><span class="identifier">mono</span><span class="special">.</span><span class="identifier">size</span><span class="special">()</span> <span class="special">==</span> <span class="number">5</span><span class="special">;</span> <span class="comment">// true, 5 elements
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</span><span class="identifier">mono</span><span class="special">.</span><span class="identifier">interval_count</span><span class="special">()</span> <span class="special">==</span> <span class="number">1</span><span class="special">;</span> <span class="comment">// true, only one interval
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</span></pre>
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<p>
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</p>
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<p>
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it's size and the number of contained intervals is usually different. To
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refer uniformly to a <span class="emphasis"><em>size</em></span> that matters for iteration,
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which is the decisive kind of size concerning algorithmic behavior there
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is a function
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</p>
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<pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">iterative_size</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span> <span class="comment">// Number of entities that can be iterated over.
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</span></pre>
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<p>
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for all element and interval containers of the icl. So for complexity statements
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throughout the icl's documentation the sizes will be <code class="computeroutput"><span class="identifier">iterative_sizes</span></code>
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and big <span class="emphasis"><em>O</em></span> expressions like <span class="emphasis"><em>O(m log n)</em></span>
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will refer to sizes
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</p>
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<pre class="programlisting"><span class="identifier">n</span> <span class="special">=</span> <span class="identifier">y</span><span class="special">.</span><span class="identifier">iterative_size</span><span class="special">();</span>
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<span class="identifier">m</span> <span class="special">=</span> <span class="identifier">x</span><span class="special">.</span><span class="identifier">iterative_size</span><span class="special">();</span>
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</pre>
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<p>
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for containers <code class="computeroutput"><span class="identifier">y</span></code> and <code class="computeroutput"><span class="identifier">x</span></code>. Note that
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</p>
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<pre class="programlisting"><span class="identifier">iterative_size</span></pre>
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<p>
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refers to the primary entities, that we can iterate over. For interval containers
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these are intervals or segments.
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</p>
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<pre class="programlisting"><span class="identifier">Itervative_size</span></pre>
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<p>
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never refers to element iteration for interval containers.
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</p>
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</div>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2007 -2010 Joachim Faulhaber<br>Copyright © 1999 -2006 Cortex Software GmbH<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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</p>
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</div></td>
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