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27<a name="boost.heap.binomial_heap"></a><div class="titlepage"></div>
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29<h2><span class="refentrytitle">Class template binomial_heap</span></h2>
30<p>boost::heap::binomial_heap — binomial 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.binomial_heap_hpp" title="Header &lt;boost/heap/binomial_heap.hpp&gt;">boost/heap/binomial_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="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">{</span>
37<span class="keyword">public</span><span class="special">:</span>
38  <span class="comment">// <a class="link" href="binomial_heap.html#boost.heap.binomial_heaptypes">types</a></span>
39  <span class="keyword">typedef</span> <span class="identifier">T</span>                                        <a name="boost.heap.binomial_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.binomial_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.binomial_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.binomial_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.binomial_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.binomial_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.binomial_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.binomial_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.binomial_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="binomial_heap.html#boost.heap.binomial_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.binomial_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.binomial_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.binomial_heap.handle_type"></a><span class="identifier">handle_type</span><span class="special">;</span>
52
53  <span class="comment">// <a class="link" href="binomial_heap.html#boost.heap.binomial_heapconstruct-copy-destruct">construct/copy/destruct</a></span>
54  <span class="keyword">explicit</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_1_1_1_23-bb"><span class="identifier">binomial_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_24-bb"><span class="identifier">binomial_heap</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_26-bb"><span class="identifier">binomial_heap</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
57  <a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_1_1_1_25-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
58  <a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_1_1_1_27-bb"><span class="keyword">operator</span><span class="special">=</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;&amp;</span><span class="special">)</span><span class="special">;</span>
59  <a class="link" href="binomial_heap.html#id-1_3_18_6_1_1_1_1_28-bb"><span class="special">~</span><span class="identifier">binomial_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_22-bb">public member functions</a></span>
62  <span class="keyword">bool</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_22_6-bb"><span class="identifier">swap</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_22_17-bb"><span class="identifier">merge</span></a><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
79  <span class="identifier">iterator</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_1_1_1_22_22-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>
84  <span class="identifier">value_compare</span> <span class="keyword">const</span>  <span class="special">&amp;</span> <a class="link" href="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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="binomial_heap.html#id-1_3_18_6_1_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-1.3.18.6.2.3.4"></a><h2>Description</h2>
104<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>
105<p>The container supports the following options:</p>
106<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
107<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>
108<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>
109<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>
110<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>
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</ul></div>
113<p>
114</p>
115<div class="refsect2">
116<a name="id-1.3.18.6.2.3.4.4"></a><h3>
117<a name="boost.heap.binomial_heaptypes"></a><code class="computeroutput">binomial_heap</code>
118        public
119       types</h3>
120<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
121<p>
122<span class="keyword">typedef</span> <span class="identifier">implementation_defined</span><span class="special">::</span><span class="identifier">iterator</span> <a name="boost.heap.binomial_heap.iterator"></a><span class="identifier">iterator</span><span class="special">;</span></p>
123<p><span class="bold"><strong>Note:</strong></span> The iterator does not traverse the priority queue in order of the priorities. </p>
124</li></ol></div>
125</div>
126<div class="refsect2">
127<a name="id-1.3.18.6.2.3.4.5"></a><h3>
128<a name="boost.heap.binomial_heapconstruct-copy-destruct"></a><code class="computeroutput">binomial_heap</code>
129        public
130       construct/copy/destruct</h3>
131<div class="orderedlist"><ol class="orderedlist" type="1">
132<li class="listitem">
133<pre class="literallayout"><span class="keyword">explicit</span> <a name="id-1_3_18_6_1_1_1_1_23-bb"></a><span class="identifier">binomial_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>
134<p><span class="bold"><strong>Effects:</strong></span> constructs an empty priority queue.</p>
135<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
136</li>
137<li class="listitem">
138<pre class="literallayout"><a name="id-1_3_18_6_1_1_1_1_24-bb"></a><span class="identifier">binomial_heap</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
139<p><span class="bold"><strong>Effects:</strong></span> copy-constructs priority queue from rhs.</p>
140<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
141</li>
142<li class="listitem">
143<pre class="literallayout"><a name="id-1_3_18_6_1_1_1_1_26-bb"></a><span class="identifier">binomial_heap</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
144<p><span class="bold"><strong>Effects:</strong></span> C++11-style move constructor.</p>
145<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
146<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_NO_CXX11_RVALUE_REFERENCES is not defined </p>
147</li>
148<li class="listitem">
149<pre class="literallayout"><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> <a name="id-1_3_18_6_1_1_1_1_25-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="keyword">const</span> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
150<p><span class="bold"><strong>Effects:</strong></span> Assigns priority queue from rhs.</p>
151<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
152</li>
153<li class="listitem">
154<pre class="literallayout"><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> <a name="id-1_3_18_6_1_1_1_1_27-bb"></a><span class="keyword">operator</span><span class="special">=</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
155<p><span class="bold"><strong>Effects:</strong></span> C++11-style move assignment.</p>
156<p><span class="bold"><strong>Complexity:</strong></span> Constant.</p>
157<p><span class="bold"><strong>Note:</strong></span> Only available, if BOOST_NO_CXX11_RVALUE_REFERENCES is not defined </p>
158</li>
159<li class="listitem"><pre class="literallayout"><a name="id-1_3_18_6_1_1_1_1_28-bb"></a><span class="special">~</span><span class="identifier">binomial_heap</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
160</ol></div>
161</div>
162<div class="refsect2">
163<a name="id-1.3.18.6.2.3.4.6"></a><h3>
164<a name="id-1_3_18_6_1_1_1_1_22-bb"></a><code class="computeroutput">binomial_heap</code> public member functions</h3>
165<div class="orderedlist"><ol class="orderedlist" type="1">
166<li class="listitem">
167<pre class="literallayout"><span class="keyword">bool</span> <a name="id-1_3_18_6_1_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>
168<p><span class="bold"><strong>Effects:</strong></span> Returns true, if the priority queue contains no elements.</p>
169<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
170</li>
171<li class="listitem">
172<pre class="literallayout"><span class="identifier">size_type</span> <a name="id-1_3_18_6_1_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>
173<p><span class="bold"><strong>Effects:</strong></span> Returns the number of elements contained in the priority queue.</p>
174<p><span class="bold"><strong>Complexity:</strong></span> Constant, if configured with constant_time_size&lt;true&gt;, otherwise linear. </p>
175</li>
176<li class="listitem">
177<pre class="literallayout"><span class="identifier">size_type</span> <a name="id-1_3_18_6_1_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>
178<p><span class="bold"><strong>Effects:</strong></span> Returns the maximum number of elements the priority queue can contain.</p>
179<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
180</li>
181<li class="listitem">
182<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
183<p><span class="bold"><strong>Effects:</strong></span> Removes all elements from the priority queue.</p>
184<p><span class="bold"><strong>Complexity:</strong></span> Linear. </p>
185</li>
186<li class="listitem">
187<pre class="literallayout"><span class="identifier">allocator_type</span> <a name="id-1_3_18_6_1_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>
188<p><span class="bold"><strong>Effects:</strong></span> Returns allocator.</p>
189<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
190</li>
191<li class="listitem">
192<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_1_1_1_22_6-bb"></a><span class="identifier">swap</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
193<p><span class="bold"><strong>Effects:</strong></span> Swaps two priority queues.</p>
194<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
195</li>
196<li class="listitem">
197<pre class="literallayout"><span class="identifier">const_reference</span> <a name="id-1_3_18_6_1_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>
198<p><span class="bold"><strong>Effects:</strong></span> Returns a const_reference to the maximum element.</p>
199<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
200</li>
201<li class="listitem">
202<pre class="literallayout"><span class="identifier">handle_type</span> <a name="id-1_3_18_6_1_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>
203<p><span class="bold"><strong>Effects:</strong></span> Adds a new element to the priority queue. Returns handle to element</p>
204<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
205</li>
206<li class="listitem">
207<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_1_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>
208<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>
209<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
210</li>
211<li class="listitem">
212<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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. </p>
215</li>
216<li class="listitem">
217<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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.</p>
219<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
220</li>
221<li class="listitem">
222<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
223<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>
224<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
225<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>
226</li>
227<li class="listitem">
228<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
229<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>
230<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
231<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be greater than the current one </p>
232</li>
233<li class="listitem">
234<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
235<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>
236<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
237<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>
238</li>
239<li class="listitem">
240<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
241<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>
242<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
243<p><span class="bold"><strong>Note:</strong></span> The new value is expected to be less than the current one </p>
244</li>
245<li class="listitem">
246<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_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>
247<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>
248<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic.</p>
249<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>
250</li>
251<li class="listitem">
252<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_1_1_1_22_17-bb"></a><span class="identifier">merge</span><span class="special">(</span><a class="link" href="binomial_heap.html" title="Class template binomial_heap">binomial_heap</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
253<p><span class="bold"><strong>Effects:</strong></span> Merge with priority queue rhs.</p>
254<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
255</li>
256<li class="listitem">
257<pre class="literallayout"><span class="identifier">iterator</span> <a name="id-1_3_18_6_1_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>
258<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the first element contained in the priority queue.</p>
259<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
260</li>
261<li class="listitem">
262<pre class="literallayout"><span class="identifier">iterator</span> <a name="id-1_3_18_6_1_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>
263<p><span class="bold"><strong>Effects:</strong></span> Returns an iterator to the end of the priority queue.</p>
264<p><span class="bold"><strong>Complexity:</strong></span> Constant. </p>
265</li>
266<li class="listitem">
267<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id-1_3_18_6_1_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>
268<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the first element contained in the priority queue.</p>
269<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
270</li>
271<li class="listitem">
272<pre class="literallayout"><span class="identifier">ordered_iterator</span> <a name="id-1_3_18_6_1_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>
273<p><span class="bold"><strong>Effects:</strong></span> Returns an ordered iterator to the end of the priority queue.</p>
274<p><span class="bold"><strong>Note:</strong></span> Ordered iterators traverse the priority queue in heap order. </p>
275</li>
276<li class="listitem">
277<pre class="literallayout"><span class="keyword">void</span> <a name="id-1_3_18_6_1_1_1_1_22_22-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>
278<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>
279<p><span class="bold"><strong>Complexity:</strong></span> Logarithmic. </p>
280</li>
281<li class="listitem">
282<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_1_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>
283<p><span class="bold"><strong>Effect:</strong></span> Returns the value_compare object used by the priority queue </p>
284</li>
285<li class="listitem">
286<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_1_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>
287<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
288<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
289</li>
290<li class="listitem">
291<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_1_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>
292<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
293<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
294</li>
295<li class="listitem">
296<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_1_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>
297<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
298<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_1_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>
302<p><span class="bold"><strong>Returns:</strong></span> Element-wise comparison of heap data structures</p>
303<p><span class="bold"><strong>Requirement:</strong></span> the <code class="computeroutput">value_compare</code> object of both heaps must match. </p>
304</li>
305<li class="listitem">
306<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_1_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>
307</li>
308<li class="listitem">
309<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_1_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>
310</li>
311</ol></div>
312</div>
313<div class="refsect2">
314<a name="id-1.3.18.6.2.3.4.7"></a><h3>
315<a name="id-1_3_18_6_1_1_1_1_29-bb"></a><code class="computeroutput">binomial_heap</code> public static functions</h3>
316<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_1_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>
317</div>
318</div>
319</div>
320<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
321<td align="left"></td>
322<td align="right"><div class="copyright-footer">Copyright © 2010, 2011 Tim Blechmann<p>
323        Distributed under the Boost Software License, Version 1.0. (See accompanying
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