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+<html>
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+<title>Class template fibonacci_heap</title>
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+</div>
+<div class="refentry">
+<a name="boost.heap.fibonacci_heap"></a><div class="titlepage"></div>
+<div class="refnamediv">
+<h2><span class="refentrytitle">Class template fibonacci_heap</span></h2>
+<p>boost::heap::fibonacci_heap &#8212; fibonacci heap </p>
+</div>
+<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
+<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../heap/reference.html#header.boost.heap.fibonacci_heap_hpp" title="Header &lt;boost/heap/fibonacci_heap.hpp&gt;">boost/heap/fibonacci_heap.hpp</a>&gt;
+
+</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> T<span class="special">,</span> <span class="keyword">class</span><span class="special">...</span> Options<span class="special">&gt;</span>
+<span class="keyword">class</span> <a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">{</span>
+<span class="keyword">public</span><span class="special">:</span>
+ <span class="comment">// <a class="link" href="fibonacci_heap.html#boost.heap.fibonacci_heaptypes">types</a></span>
+ <span class="keyword">typedef</span> <span class="identifier">T</span> <a name="boost.heap.fibonacci_heap.value_type"></a><span class="identifier">value_type</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">size_type</span> <a name="boost.heap.fibonacci_heap.size_type"></a><span class="identifier">size_type</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">difference_type</span> <a name="boost.heap.fibonacci_heap.difference_type"></a><span class="identifier">difference_type</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">value_compare</span> <a name="boost.heap.fibonacci_heap.value_compare"></a><span class="identifier">value_compare</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">allocator_type</span> <a name="boost.heap.fibonacci_heap.allocator_type"></a><span class="identifier">allocator_type</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">reference</span> <a name="boost.heap.fibonacci_heap.reference"></a><span class="identifier">reference</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">const_reference</span> <a name="boost.heap.fibonacci_heap.const_reference"></a><span class="identifier">const_reference</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">pointer</span> <a name="boost.heap.fibonacci_heap.pointer"></a><span class="identifier">pointer</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">const_pointer</span> <a name="boost.heap.fibonacci_heap.const_pointer"></a><span class="identifier">const_pointer</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">iterator</span> <a class="link" href="fibonacci_heap.html#boost.heap.fibonacci_heap.iterator"><span class="identifier">iterator</span></a><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">const_iterator</span> <a name="boost.heap.fibonacci_heap.const_iterator"></a><span class="identifier">const_iterator</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">ordered_iterator</span> <a name="boost.heap.fibonacci_heap.ordered_iterator"></a><span class="identifier">ordered_iterator</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">handle_type</span> <a name="boost.heap.fibonacci_heap.handle_type"></a><span class="identifier">handle_type</span><span class="special">;</span>
+
+ <span class="comment">// <a class="link" href="fibonacci_heap.html#boost.heap.fibonacci_heapconstruct-copy-destruct">construct/copy/destruct</a></span>
+ <span class="keyword">explicit</span> <a class="link" href="fibonacci_heap.html#id681284-bb"><span class="identifier">fibonacci_heap</span></a><span class="special">(</span><span class="identifier">value_compare</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">value_compare</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
+ <a class="link" href="fibonacci_heap.html#id463746-bb"><span class="identifier">fibonacci_heap</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <a class="link" href="fibonacci_heap.html#id662458-bb"><span class="identifier">fibonacci_heap</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
+ fibonacci_heap&amp; <a class="link" href="fibonacci_heap.html#id371378-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
+ fibonacci_heap&amp; <a class="link" href="fibonacci_heap.html#id739605-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <a class="link" href="fibonacci_heap.html#id346072-bb"><span class="special">~</span><span class="identifier">fibonacci_heap</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+
+ <span class="comment">// <a class="link" href="fibonacci_heap.html#id751635-bb">public member functions</a></span>
+ <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id751638-bb"><span class="identifier">empty</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">size_type</span> <a class="link" href="fibonacci_heap.html#id751670-bb"><span class="identifier">size</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">size_type</span> <a class="link" href="fibonacci_heap.html#id751701-bb"><span class="identifier">max_size</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id719263-bb"><span class="identifier">clear</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+ <span class="identifier">allocator_type</span> <a class="link" href="fibonacci_heap.html#id719294-bb"><span class="identifier">get_allocator</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id377222-bb"><span class="identifier">swap</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <span class="identifier">value_type</span> <span class="keyword">const</span> <span class="special">&amp;</span> <a class="link" href="fibonacci_heap.html#id366373-bb"><span class="identifier">top</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">handle_type</span> <a class="link" href="fibonacci_heap.html#id748637-bb"><span class="identifier">push</span></a><span class="special">(</span><span class="identifier">value_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span><span class="special">...</span> Args<span class="special">&gt;</span> <span class="identifier">handle_type</span> <a class="link" href="fibonacci_heap.html#id748674-bb"><span class="identifier">emplace</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="special">&amp;&amp;</span><span class="special">...</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id719979-bb"><span class="identifier">pop</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id363284-bb"><span class="identifier">update</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">,</span> <span class="identifier">const_reference</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id671256-bb"><span class="identifier">update_lazy</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">,</span> <span class="identifier">const_reference</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id706786-bb"><span class="identifier">update</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id700136-bb"><span class="identifier">update_lazy</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id330407-bb"><span class="identifier">increase</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">,</span> <span class="identifier">const_reference</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id330457-bb"><span class="identifier">increase</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id718837-bb"><span class="identifier">decrease</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">,</span> <span class="identifier">const_reference</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id384833-bb"><span class="identifier">decrease</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">)</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id373078-bb"><span class="identifier">erase</span></a><span class="special">(</span><span class="identifier">handle_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <span class="identifier">iterator</span> <a class="link" href="fibonacci_heap.html#id346640-bb"><span class="identifier">begin</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">iterator</span> <a class="link" href="fibonacci_heap.html#id371777-bb"><span class="identifier">end</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">ordered_iterator</span> <a class="link" href="fibonacci_heap.html#id681698-bb"><span class="identifier">ordered_begin</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="identifier">ordered_iterator</span> <a class="link" href="fibonacci_heap.html#id395052-bb"><span class="identifier">ordered_end</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">void</span> <a class="link" href="fibonacci_heap.html#id725613-bb"><span class="identifier">merge</span></a><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+ <span class="identifier">value_compare</span> <span class="keyword">const</span> <span class="special">&amp;</span> <a class="link" href="fibonacci_heap.html#id719012-bb"><span class="identifier">value_comp</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id457477-bb"><span class="keyword">operator</span><span class="special">&lt;</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id717197-bb"><span class="keyword">operator</span><span class="special">&gt;</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id717239-bb"><span class="keyword">operator</span><span class="special">&gt;=</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id382779-bb"><span class="keyword">operator</span><span class="special">&lt;=</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id685079-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="fibonacci_heap.html#id443093-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+
+ <span class="comment">// <a class="link" href="fibonacci_heap.html#id346079-bb">public static functions</a></span>
+ <span class="keyword">static</span> <span class="identifier">handle_type</span> <a class="link" href="fibonacci_heap.html#id346082-bb"><span class="identifier">s_handle_from_iterator</span></a><span class="special">(</span><span class="identifier">iterator</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+
+ <span class="comment">// public data members</span>
+ <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">constant_time_size</span><span class="special">;</span>
+ <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">has_ordered_iterators</span><span class="special">;</span>
+ <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_mergable</span><span class="special">;</span>
+ <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_stable</span><span class="special">;</span>
+ <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">has_reserve</span><span class="special">;</span>
+<span class="special">}</span><span class="special">;</span></pre></div>
+<div class="refsect1">
+<a name="id1595911"></a><h2>Description</h2>
+<p>The template parameter T is the type to be managed by the container. The user can specify additional options and if no options are provided default options are used.</p>
+<p>The container supports the following options:</p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem"><p><code class="computeroutput">boost::heap::stable&lt;&gt;</code>, defaults to <code class="computeroutput">stable&lt;false&gt;</code> </p></li>
+<li class="listitem"><p><code class="computeroutput">boost::heap::compare&lt;&gt;</code>, defaults to <code class="computeroutput">compare&lt;std::less&lt;T&gt;</code> &gt;</p></li>
+<li class="listitem"><p><code class="computeroutput">boost::heap::allocator&lt;&gt;</code>, defaults to <code class="computeroutput">allocator&lt;std::allocator&lt;T&gt;</code> &gt;</p></li>
+<li class="listitem"><p><code class="computeroutput">boost::heap::constant_time_size&lt;&gt;</code>, defaults to <code class="computeroutput">constant_time_size&lt;true&gt;</code> </p></li>
+<li class="listitem"><p><code class="computeroutput">boost::heap::stability_counter_type&lt;&gt;</code>, defaults to <code class="computeroutput">stability_counter_type&lt;boost::uintmax_t&gt;</code> </p></li>
+</ul></div>
+<p>
+</p>
+<div class="refsect2">
+<a name="id1596001"></a><h3>
+<a name="boost.heap.fibonacci_heaptypes"></a><code class="computeroutput">fibonacci_heap</code>
+ public
+ types</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
+<p>
+<span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">iterator</span> <a name="boost.heap.fibonacci_heap.iterator"></a><span class="identifier">iterator</span><span class="special">;</span></p>
+<p><span class="bold"><strong>Note:</strong></span> The iterator does not traverse the priority queue in order of the priorities. </p>
+<p>
+ </p>
+</li></ol></div>
+</div>
+<div class="refsect2">
+<a name="id1596067"></a><h3>
+<a name="boost.heap.fibonacci_heapconstruct-copy-destruct"></a><code class="computeroutput">fibonacci_heap</code>
+ public
+ construct/copy/destruct</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1">
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">explicit</span> <a name="id681284-bb"></a><span class="identifier">fibonacci_heap</span><span class="special">(</span><span class="identifier">value_compare</span> <span class="keyword">const</span> <span class="special">&amp;</span> cmp <span class="special">=</span> <span class="identifier">value_compare</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> constructs an empty priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><a name="id463746-bb"></a><span class="identifier">fibonacci_heap</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> copy-constructs priority queue from rhs.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><a name="id662458-bb"></a><span class="identifier">fibonacci_heap</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> C++11-style move constructor.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_HAS_RVALUE_REFS is defined </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout">fibonacci_heap&amp; <a name="id371378-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> C++11-style move assignment.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_HAS_RVALUE_REFS is defined </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout">fibonacci_heap&amp; <a name="id739605-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns priority queue from rhs.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
+<p>
+ </p>
+</li>
+<li class="listitem"><pre class="literallayout"><a name="id346072-bb"></a><span class="special">~</span><span class="identifier">fibonacci_heap</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
+</ol></div>
+</div>
+<div class="refsect2">
+<a name="id1596485"></a><h3>
+<a name="id751635-bb"></a><code class="computeroutput">fibonacci_heap</code> public member functions</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1">
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">bool</span> <a name="id751638-bb"></a><span class="identifier">empty</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns true, if the priority queue contains no elements.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">size_type</span> <a name="id751670-bb"></a><span class="identifier">size</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns the number of elements contained in the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">size_type</span> <a name="id751701-bb"></a><span class="identifier">max_size</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns the maximum number of elements the priority queue can contain.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id719263-bb"></a><span class="identifier">clear</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Removes all elements from the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">allocator_type</span> <a name="id719294-bb"></a><span class="identifier">get_allocator</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns allocator.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id377222-bb"></a><span class="identifier">swap</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Swaps two priority queues.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">value_type</span> <span class="keyword">const</span> <span class="special">&amp;</span> <a name="id366373-bb"></a><span class="identifier">top</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns a const_reference to the maximum element.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">handle_type</span> <a name="id748637-bb"></a><span class="identifier">push</span><span class="special">(</span><span class="identifier">value_type</span> <span class="keyword">const</span> <span class="special">&amp;</span> v<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Adds a new element to the priority queue. Returns handle to element</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> Does not invalidate iterators. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span><span class="special">...</span> Args<span class="special">&gt;</span> <span class="identifier">handle_type</span> <a name="id748674-bb"></a><span class="identifier">emplace</span><span class="special">(</span><span class="identifier">Args</span> <span class="special">&amp;&amp;</span><span class="special">...</span> args<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Adds a new element to the priority queue. The element is directly constructed in-place. Returns handle to element.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> Does not invalidate iterators. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id719979-bb"></a><span class="identifier">pop</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Removes the top element from the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic (amortized). Linear (worst case). </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id363284-bb"></a><span class="identifier">update</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">,</span> <span class="identifier">const_reference</span> v<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns <code class="computeroutput">v</code> to the element handled by <code class="computeroutput">handle</code> &amp; updates the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic if current value &lt; v, Constant otherwise. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id671256-bb"></a><span class="identifier">update_lazy</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">,</span> <span class="identifier">const_reference</span> v<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns <code class="computeroutput">v</code> to the element handled by <code class="computeroutput">handle</code> &amp; updates the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic if current value &lt; v, Constant otherwise. </p>
+<p>
+</p>
+<p><span class="bold"><strong>Rationale:</strong></span> The lazy update function is a modification of the traditional update, that just invalidates the iterator the the object referred to by the handle. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id706786-bb"></a><span class="identifier">update</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
+<p><span class="bold"><strong>Note:</strong></span> If this is not called, after a handle has been updated, the behavior of the data structure is undefined! </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id700136-bb"></a><span class="identifier">update_lazy</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns <code class="computeroutput">v</code> to the element handled by <code class="computeroutput">handle</code> &amp; updates the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic if current value &lt; v, Constant otherwise. </p>
+<p>
+ (handle_type handle)</p>
+<p><span class="bold"><strong>Rationale:</strong></span> The lazy update function is a modification of the traditional update, that just invalidates the iterator the the object referred to by the handle. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id330407-bb"></a><span class="identifier">increase</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">,</span> <span class="identifier">const_reference</span> v<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns <code class="computeroutput">v</code> to the element handled by <code class="computeroutput">handle</code> &amp; updates the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be greater than the current one </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id330457-bb"></a><span class="identifier">increase</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
+<p><span class="bold"><strong>Note:</strong></span> If this is not called, after a handle has been updated, the behavior of the data structure is undefined! </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id718837-bb"></a><span class="identifier">decrease</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">,</span> <span class="identifier">const_reference</span> v<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Assigns <code class="computeroutput">v</code> to the element handled by <code class="computeroutput">handle</code> &amp; updates the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
+<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be less than the current one </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id384833-bb"></a><span class="identifier">decrease</span><span class="special">(</span><span class="identifier">handle_type</span> handle<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
+<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be less than the current one. If this is not called, after a handle has been updated, the behavior of the data structure is undefined! </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id373078-bb"></a><span class="identifier">erase</span><span class="special">(</span><span class="identifier">handle_type</span> <span class="keyword">const</span> <span class="special">&amp;</span> handle<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Removes the element handled by <code class="computeroutput">handle</code> from the <code class="computeroutput"><a class="link" href="priority_queue.html" title="Class template priority_queue">priority_queue</a></code>.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">iterator</span> <a name="id346640-bb"></a><span class="identifier">begin</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the first element contained in the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">iterator</span> <a name="id371777-bb"></a><span class="identifier">end</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the end of the priority queue.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id681698-bb"></a><span class="identifier">ordered_begin</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the first element contained in the priority queue.</p>
+<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id395052-bb"></a><span class="identifier">ordered_end</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the first element contained in the priority queue.</p>
+<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">void</span> <a name="id725613-bb"></a><span class="identifier">merge</span><span class="special">(</span><a class="link" href="fibonacci_heap.html" title="Class template fibonacci_heap">fibonacci_heap</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effects:</strong></span> Merge with priority queue rhs.</p>
+<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="identifier">value_compare</span> <span class="keyword">const</span> <span class="special">&amp;</span> <a name="id719012-bb"></a><span class="identifier">value_comp</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Effect:</strong></span> Returns the value_compare object used by the priority queue </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id457477-bb"></a><span class="keyword">operator</span><span class="special">&lt;</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id717197-bb"></a><span class="keyword">operator</span><span class="special">&gt;</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id717239-bb"></a><span class="keyword">operator</span><span class="special">&gt;=</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id382779-bb"></a><span class="keyword">operator</span><span class="special">&lt;=</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id685079-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p>Equivalent comparison <span class="bold"><strong>Returns:</strong></span> True, if both heap data structures are equivalent. </p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+<li class="listitem">
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> HeapType<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="id443093-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="identifier">HeapType</span> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<p>Equivalent comparison <span class="bold"><strong>Returns:</strong></span> True, if both heap data structures are not equivalent. </p>
+<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
+<p>
+ </p>
+</li>
+</ol></div>
+</div>
+<div class="refsect2">
+<a name="id1598898"></a><h3>
+<a name="id346079-bb"></a><code class="computeroutput">fibonacci_heap</code> public static functions</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
+<pre class="literallayout"><span class="keyword">static</span> <span class="identifier">handle_type</span> <a name="id346082-bb"></a><span class="identifier">s_handle_from_iterator</span><span class="special">(</span><span class="identifier">iterator</span> <span class="keyword">const</span> <span class="special">&amp;</span> it<span class="special">)</span><span class="special">;</span></pre>
+<p>
+ </p>
+</li></ol></div>
+</div>
+</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 &#169; 2010, 2011 Tim Blechmann<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>
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