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27<a name="boost.heap.pairing_heap"></a><div class="titlepage"></div>
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29<h2><span class="refentrytitle">Class template pairing_heap</span></h2>
30<p>boost::heap::pairing_heap — pairing heap </p>
31</div>
32<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
33<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;
34
35</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>
36<span class="keyword">class</span> <a class="link" href="pairing_heap.html" title="Class template pairing_heap">pairing_heap</a> <span class="special">{</span>
37<span class="keyword">public</span><span class="special">:</span>
38  <span class="comment">// <a class="link" href="pairing_heap.html#boost.heap.pairing_heaptypes">types</a></span>
39  <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>
40  <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>
41  <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>
42  <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>
43  <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>
44  <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>
45  <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>
46  <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>
47  <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>
48  <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>
49  <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>
50  <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>
51  <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>
52
53  <span class="comment">// <a class="link" href="pairing_heap.html#boost.heap.pairing_heapconstruct-copy-destruct">construct/copy/destruct</a></span>
54  <span class="keyword">explicit</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_23-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>
55  <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_24-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>
56  <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_25-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>
57  <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#id-1_3_18_6_6_1_1_1_26-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>
58  <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#id-1_3_18_6_6_1_1_1_27-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>
59  <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_28-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>
60
61  <span class="comment">// <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22-bb">public member functions</a></span>
62  <span class="keyword">bool</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_1-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>
63  <span class="identifier">size_type</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_2-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>
64  <span class="identifier">size_type</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_3-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>
65  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_4-bb"><span class="identifier">clear</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
66  <span class="identifier">allocator_type</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_5-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>
67  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_6-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>
68  <span class="identifier">const_reference</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_7-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>
69  <span class="identifier">handle_type</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_8-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>
70  <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#id-1_3_18_6_6_1_1_1_22_9-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>
71  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_10-bb"><span class="identifier">pop</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
72  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_11-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>
73  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_12-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>
74  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_13-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>
75  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_14-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>
76  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_15-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>
77  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_16-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>
78  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_17-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>
79  <span class="identifier">iterator</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_18-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>
80  <span class="identifier">iterator</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_19-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>
81  <span class="identifier">ordered_iterator</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_20-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>
82  <span class="identifier">ordered_iterator</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_21-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>
83  <span class="keyword">void</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_22-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>
84  <span class="identifier">value_compare</span> <span class="keyword">const</span>  <span class="special">&amp;</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_22_23-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>
85  <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#id-1_3_18_6_6_1_1_1_22_24-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>
86  <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#id-1_3_18_6_6_1_1_1_22_25-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>
87  <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#id-1_3_18_6_6_1_1_1_22_26-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>
88  <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#id-1_3_18_6_6_1_1_1_22_27-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>
89  <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#id-1_3_18_6_6_1_1_1_22_28-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>
90  <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#id-1_3_18_6_6_1_1_1_22_29-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>
91
92  <span class="comment">// <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_29-bb">public static functions</a></span>
93  <span class="keyword">static</span> <span class="identifier">handle_type</span> <a class="link" href="pairing_heap.html#id-1_3_18_6_6_1_1_1_29_1-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>
94
95  <span class="comment">// public data members</span>
96  <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>
97  <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>
98  <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>
99  <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>
100  <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>
101<span class="special">}</span><span class="special">;</span></pre></div>
102<div class="refsect1">
103<a name="id-1.3.18.6.7.3.4"></a><h2>Description</h2>
104<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>
105<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>
106<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>
107<p>The container supports the following options:</p>
108<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
109<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>
110<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>
111<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>
112<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>
113<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>
114</ul></div>
115<p>
116</p>
117<div class="refsect2">
118<a name="id-1.3.18.6.7.3.4.6"></a><h3>
119<a name="boost.heap.pairing_heaptypes"></a><code class="computeroutput">pairing_heap</code>
120        public
121       types</h3>
122<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
123<p>
124<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>
125<p><span class="bold"><strong>Note:</strong></span> The iterator does not traverse the priority queue in order of the priorities. </p>
126</li></ol></div>
127</div>
128<div class="refsect2">
129<a name="id-1.3.18.6.7.3.4.7"></a><h3>
130<a name="boost.heap.pairing_heapconstruct-copy-destruct"></a><code class="computeroutput">pairing_heap</code>
131        public
132       construct/copy/destruct</h3>
133<div class="orderedlist"><ol class="orderedlist" type="1">
134<li class="listitem">
135<pre class="literallayout"><span class="keyword">explicit</span> <a name="id-1_3_18_6_6_1_1_1_23-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>
136<p><span class="bold"><strong>Effects:</strong></span> constructs an empty priority queue.</p>
137<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
138</li>
139<li class="listitem">
140<pre class="literallayout"><a name="id-1_3_18_6_6_1_1_1_24-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>
141<p><span class="bold"><strong>Effects:</strong></span> copy-constructs priority queue from rhs.</p>
142<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
143</li>
144<li class="listitem">
145<pre class="literallayout"><a name="id-1_3_18_6_6_1_1_1_25-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>
146<p><span class="bold"><strong>Effects:</strong></span> C++11-style move constructor.</p>
147<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
148<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_NO_CXX11_RVALUE_REFERENCES is not defined </p>
149</li>
150<li class="listitem">
151<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="id-1_3_18_6_6_1_1_1_26-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>
152<p><span class="bold"><strong>Effects:</strong></span> C++11-style move assignment.</p>
153<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
154<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_NO_CXX11_RVALUE_REFERENCES is not defined </p>
155</li>
156<li class="listitem">
157<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="id-1_3_18_6_6_1_1_1_27-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>
158<p><span class="bold"><strong>Effects:</strong></span> Assigns priority queue from rhs.</p>
159<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
160</li>
161<li class="listitem"><pre class="literallayout"><a name="id-1_3_18_6_6_1_1_1_28-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>
162</ol></div>
163</div>
164<div class="refsect2">
165<a name="id-1.3.18.6.7.3.4.8"></a><h3>
166<a name="id-1_3_18_6_6_1_1_1_22-bb"></a><code class="computeroutput">pairing_heap</code> public member functions</h3>
167<div class="orderedlist"><ol class="orderedlist" type="1">
168<li class="listitem">
169<pre class="literallayout"><span class="keyword">bool</span> <a name="id-1_3_18_6_6_1_1_1_22_1-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>
170<p><span class="bold"><strong>Effects:</strong></span> Returns true, if the priority queue contains no elements.</p>
171<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
172</li>
173<li class="listitem">
174<pre class="literallayout"><span class="identifier">size_type</span> <a name="id-1_3_18_6_6_1_1_1_22_2-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>
175<p><span class="bold"><strong>Effects:</strong></span> Returns the number of elements contained in the priority queue.</p>
176<p><span class="bold"><strong>Complexity:</strong></span> Constant, if configured with constant_time_size&lt;true&gt;, otherwise linear. </p>
177</li>
178<li class="listitem">
179<pre class="literallayout"><span class="identifier">size_type</span> <a name="id-1_3_18_6_6_1_1_1_22_3-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>
180<p><span class="bold"><strong>Effects:</strong></span> Returns the maximum number of elements the priority queue can contain.</p>
181<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
182</li>
183<li class="listitem">
184<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_4-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>
185<p><span class="bold"><strong>Effects:</strong></span> Removes all elements from the priority queue.</p>
186<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
187</li>
188<li class="listitem">
189<pre class="literallayout"><span class="identifier">allocator_type</span> <a name="id-1_3_18_6_6_1_1_1_22_5-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>
190<p><span class="bold"><strong>Effects:</strong></span> Returns allocator.</p>
191<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
192</li>
193<li class="listitem">
194<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_6-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>
195<p><span class="bold"><strong>Effects:</strong></span> Swaps two priority queues.</p>
196<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
197</li>
198<li class="listitem">
199<pre class="literallayout"><span class="identifier">const_reference</span> <a name="id-1_3_18_6_6_1_1_1_22_7-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>
200<p><span class="bold"><strong>Effects:</strong></span> Returns a const_reference to the maximum element.</p>
201<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
202</li>
203<li class="listitem">
204<pre class="literallayout"><span class="identifier">handle_type</span> <a name="id-1_3_18_6_6_1_1_1_22_8-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>
205<p><span class="bold"><strong>Effects:</strong></span> Adds a new element to the priority queue. Returns handle to element<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </p>
206</li>
207<li class="listitem">
208<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="id-1_3_18_6_6_1_1_1_22_9-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>
209<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.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </p>
210</li>
211<li class="listitem">
212<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_10-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>
213<p><span class="bold"><strong>Effects:</strong></span> Removes the top element from the priority queue.</p>
214<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic (amortized). </p>
215</li>
216<li class="listitem">
217<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_11-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>
218<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.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </p>
219</li>
220<li class="listitem">
221<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_12-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>
222<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized).</p>
223<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>
224</li>
225<li class="listitem">
226<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_13-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>
227<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.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized).</p>
228<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be greater than the current one </p>
229</li>
230<li class="listitem">
231<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_14-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>
232<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized).</p>
233<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>
234</li>
235<li class="listitem">
236<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_15-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>
237<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.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized).</p>
238<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be less than the current one </p>
239</li>
240<li class="listitem">
241<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_16-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>
242<p><span class="bold"><strong>Effects:</strong></span> Updates the heap after the element handled by <code class="computeroutput">handle</code> has been changed.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized).</p>
243<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>
244</li>
245<li class="listitem">
246<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_17-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>
247<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>.<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </p>
248</li>
249<li class="listitem">
250<pre class="literallayout"><span class="identifier">iterator</span> <a name="id-1_3_18_6_6_1_1_1_22_18-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>
251<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the first element contained in the priority queue.</p>
252<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
253</li>
254<li class="listitem">
255<pre class="literallayout"><span class="identifier">iterator</span> <a name="id-1_3_18_6_6_1_1_1_22_19-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>
256<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the end of the priority queue.</p>
257<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
258</li>
259<li class="listitem">
260<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id-1_3_18_6_6_1_1_1_22_20-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>
261<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the first element contained in the priority queue.</p>
262<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
263</li>
264<li class="listitem">
265<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id-1_3_18_6_6_1_1_1_22_21-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>
266<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the first element contained in the priority queue.</p>
267<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
268</li>
269<li class="listitem">
270<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_6_1_1_1_22_22-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>
271<p><span class="bold"><strong>Effects:</strong></span> Merge all elements from rhs into this<span class="bold"><strong>Complexity:</strong></span> 2**2*log(log(N)) (amortized). </p>
272</li>
273<li class="listitem">
274<pre class="literallayout"><span class="identifier">value_compare</span> <span class="keyword">const</span>  <span class="special">&amp;</span> <a name="id-1_3_18_6_6_1_1_1_22_23-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>
275<p><span class="bold"><strong>Effect:</strong></span> Returns the value_compare object used by the priority queue </p>
276</li>
277<li class="listitem">
278<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="id-1_3_18_6_6_1_1_1_22_24-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>
279<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
280<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
281</li>
282<li class="listitem">
283<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="id-1_3_18_6_6_1_1_1_22_25-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>
284<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
285<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
286</li>
287<li class="listitem">
288<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="id-1_3_18_6_6_1_1_1_22_26-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>
289<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
290<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
291</li>
292<li class="listitem">
293<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="id-1_3_18_6_6_1_1_1_22_27-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>
294<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
295<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
296</li>
297<li class="listitem">
298<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="id-1_3_18_6_6_1_1_1_22_28-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>
299</li>
300<li class="listitem">
301<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="id-1_3_18_6_6_1_1_1_22_29-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>
302</li>
303</ol></div>
304</div>
305<div class="refsect2">
306<a name="id-1.3.18.6.7.3.4.9"></a><h3>
307<a name="id-1_3_18_6_6_1_1_1_29-bb"></a><code class="computeroutput">pairing_heap</code> public static functions</h3>
308<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="id-1_3_18_6_6_1_1_1_29_1-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>
309</div>
310</div>
311</div>
312<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
313<td align="left"></td>
314<td align="right"><div class="copyright-footer">Copyright © 2010, 2011 Tim Blechmann<p>
315        Distributed under the Boost Software License, Version 1.0. (See accompanying
316        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>)
317      </p>
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