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<a name="boost.heap.pairing_heap"></a><div class="titlepage"></div>
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<h2><span class="refentrytitle">Class template pairing_heap</span></h2>
<p>boost::heap::pairing_heap &#8212; pairing 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.pairing_heap_hpp" title="Header &lt;boost/heap/pairing_heap.hpp&gt;">boost/heap/pairing_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="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
  <span class="comment">// <a class="link" href="pairing_heap.html#boost.heap.pairing_heaptypes">types</a></span>
  <span class="keyword">typedef</span> <span class="identifier">T</span>                                        <a name="boost.heap.pairing_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.pairing_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.pairing_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.pairing_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.pairing_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.pairing_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.pairing_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.pairing_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.pairing_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="pairing_heap.html#boost.heap.pairing_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.pairing_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.pairing_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.pairing_heap.handle_type"></a><span class="identifier">handle_type</span><span class="special">;</span>     

  <span class="comment">// <a class="link" href="pairing_heap.html#boost.heap.pairing_heapconstruct-copy-destruct">construct/copy/destruct</a></span>
  <span class="keyword">explicit</span> <a class="link" href="pairing_heap.html#idp511964144-bb"><span class="identifier">pairing_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="pairing_heap.html#idp511967520-bb"><span class="identifier">pairing_heap</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <a class="link" href="pairing_heap.html#idp511970640-bb"><span class="identifier">pairing_heap</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
  <a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;</span> <a class="link" href="pairing_heap.html#idp511974640-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
  <a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;</span> <a class="link" href="pairing_heap.html#idp511979216-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <a class="link" href="pairing_heap.html#idp511982896-bb"><span class="special">~</span><span class="identifier">pairing_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="pairing_heap.html#idp511839184-bb">public member functions</a></span>
  <span class="keyword">bool</span> <a class="link" href="pairing_heap.html#idp511839744-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="pairing_heap.html#idp511843424-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="pairing_heap.html#idp511847168-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="pairing_heap.html#idp511850848-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="pairing_heap.html#idp511854240-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="pairing_heap.html#idp511857872-bb"><span class="identifier">swap</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="identifier">const_reference</span> <a class="link" href="pairing_heap.html#idp511861536-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="pairing_heap.html#idp511865200-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="pairing_heap.html#idp511868624-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="pairing_heap.html#idp511873232-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="pairing_heap.html#idp511876640-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="pairing_heap.html#idp511881632-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="pairing_heap.html#idp511886432-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="pairing_heap.html#idp511892320-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="pairing_heap.html#idp511897120-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="pairing_heap.html#idp511903008-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="pairing_heap.html#idp511907856-bb"><span class="identifier">erase</span></a><span class="special">(</span><span class="identifier">handle_type</span><span class="special">)</span><span class="special">;</span>
  <span class="identifier">iterator</span> <a class="link" href="pairing_heap.html#idp511912432-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="pairing_heap.html#idp511916128-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="pairing_heap.html#idp511919792-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="pairing_heap.html#idp511923536-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="pairing_heap.html#idp511927280-bb"><span class="identifier">merge</span></a><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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="pairing_heap.html#idp511930960-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="pairing_heap.html#idp511933792-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="pairing_heap.html#idp511938768-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="pairing_heap.html#idp511943744-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="pairing_heap.html#idp511948720-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="pairing_heap.html#idp511953696-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="pairing_heap.html#idp511958832-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="pairing_heap.html#idp511983872-bb">public static functions</a></span>
  <span class="keyword">static</span> <span class="identifier">handle_type</span> <a class="link" href="pairing_heap.html#idp511984432-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="idp251187024"></a><h2>Description</h2>
<p>Pairing heaps are self-adjusting binary heaps. Although design and implementation are rather simple, the complexity analysis is yet unsolved. For details, consult:</p>
<p>Pettie, Seth (2005), "Towards a final analysis of pairing heaps", Proc. 46th Annual IEEE Symposium on Foundations of Computer Science, pp. 174-183</p>
<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" style="list-style-type: disc; ">
<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::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::stability_counter_type&lt;&gt;</code>, defaults to <code class="computeroutput">stability_counter_type&lt;boost::uintmax_t&gt;</code> </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>
</ul></div>
<p>
</p>
<div class="refsect2">
<a name="idp251198128"></a><h3>
<a name="boost.heap.pairing_heaptypes"></a><code class="computeroutput">pairing_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.pairing_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>
</li></ol></div>
</div>
<div class="refsect2">
<a name="idp251205808"></a><h3>
<a name="boost.heap.pairing_heapconstruct-copy-destruct"></a><code class="computeroutput">pairing_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="idp511964144-bb"></a><span class="identifier">pairing_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>
</li>
<li class="listitem">
<pre class="literallayout"><a name="idp511967520-bb"></a><span class="identifier">pairing_heap</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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>
</li>
<li class="listitem">
<pre class="literallayout"><a name="idp511970640-bb"></a><span class="identifier">pairing_heap</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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_NO_CXX11_RVALUE_REFERENCES is not defined </p>
</li>
<li class="listitem">
<pre class="literallayout"><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;</span> <a name="idp511974640-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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_NO_CXX11_RVALUE_REFERENCES is not defined </p>
</li>
<li class="listitem">
<pre class="literallayout"><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">&amp;</span> <a name="idp511979216-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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>
</li>
<li class="listitem"><pre class="literallayout"><a name="idp511982896-bb"></a><span class="special">~</span><span class="identifier">pairing_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="idp251257536"></a><h3>
<a name="idp511839184-bb"></a><code class="computeroutput">pairing_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="idp511839744-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">size_type</span> <a name="idp511843424-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, if configured with constant_time_size&lt;true&gt;, otherwise linear. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">size_type</span> <a name="idp511847168-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp511850848-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">allocator_type</span> <a name="idp511854240-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp511857872-bb"></a><span class="identifier">swap</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">const_reference</span> <a name="idp511861536-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">handle_type</span> <a name="idp511865200-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> 2**2*log(log(N)) (amortized). </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="idp511868624-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> 2**2*log(log(N)) (amortized). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp511873232-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). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp511876640-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> 2**2*log(log(N)) (amortized). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp511881632-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> 2**2*log(log(N)) (amortized).</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="idp511886432-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> 2**2*log(log(N)) (amortized).</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="idp511892320-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> 2**2*log(log(N)) (amortized).</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="idp511897120-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> 2**2*log(log(N)) (amortized).</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="idp511903008-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> 2**2*log(log(N)) (amortized).</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="idp511907856-bb"></a><span class="identifier">erase</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> 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> 2**2*log(log(N)) (amortized). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">iterator</span> <a name="idp511912432-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">iterator</span> <a name="idp511916128-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>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="idp511919792-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="idp511923536-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="idp511927280-bb"></a><span class="identifier">merge</span><span class="special">(</span><a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_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 all elements from rhs into this</p>
<p><span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </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="idp511930960-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>
</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="idp511933792-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>
</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="idp511938768-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>
</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="idp511943744-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>
</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="idp511948720-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>
</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="idp511953696-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>Equivalent comparison <span class="bold"><strong>Returns:</strong></span> True, if both heap data structures are equivalent. <p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </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="idp511958832-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>Equivalent comparison <span class="bold"><strong>Returns:</strong></span> True, if both heap data structures are not equivalent. <p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp251520416"></a><h3>
<a name="idp511983872-bb"></a><code class="computeroutput">pairing_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="idp511984432-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></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>
</tr></table>
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