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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0.1 Transitional//EN"> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1"> <title>Boost.MultiIndex Documentation - Ordered indices reference</title> <link rel="stylesheet" href="../style.css" type="text/css"> <link rel="start" href="../index.html"> <link rel="prev" href="indices.html"> <link rel="up" href="index.html"> <link rel="next" href="hash_indices.html"> </head> <body> <h1><img src="../../../../boost.png" alt="boost.png (6897 bytes)" align= "middle" width="277" height="86">Boost.MultiIndex Ordered indices reference</h1> <div class="prev_link"><a href="indices.html"><img src="../prev.gif" alt="index reference" border="0"><br> Index reference </a></div> <div class="up_link"><a href="index.html"><img src="../up.gif" alt="Boost.MultiIndex reference" border="0"><br> Boost.MultiIndex reference </a></div> <div class="next_link"><a href="hash_indices.html"><img src="../next.gif" alt="hashed indices" border="0"><br> Hashed indices </a></div><br clear="all" style="clear: all;"> <hr> <h2>Contents</h2> <ul> <li><a href="#ord_index_fwd_synopsis">Header <code>"boost/multi_index/ordered_index_fwd.hpp"</code> synopsis</a></li> <li><a href="#synopsis">Header <code>"boost/multi_index/ordered_index.hpp"</code> synopsis</a> <ul> <li><a href="#unique_non_unique"> Index specifiers <code>ordered_unique</code> and <code>ordered_non_unique</code> </a></li> <li><a href="#ord_indices">Ordered indices</a> <ul> <li><a href="#complexity_signature">Complexity signature</a></li> <li><a href="#instantiation_types">Instantiation types</a></li> <li><a href="#constructors">Constructors, copy and assignment</a></li> <li><a href="#iterators">Iterators</a></li> <li><a href="#modifiers">Modifiers</a></li> <li><a href="#observers">Observers</a></li> <li><a href="#set_operations">Set operations</a></li> <li><a href="#range_operations">Range operations</a></li> <li><a href="#serialization">Serialization</a></li> </ul> </li> </ul> </li> </ul> <h2> <a name="ord_index_fwd_synopsis">Header <a href="../../../../boost/multi_index/ordered_index_fwd.hpp"> <code>"boost/multi_index/ordered_index_fwd.hpp"</code></a> synopsis</a></h2> <blockquote><pre> <span class=keyword>namespace</span> <span class=identifier>boost</span><span class=special>{</span> <span class=keyword>namespace</span> <span class=identifier>multi_index</span><span class=special>{</span> <span class=comment>// index specifiers ordered_unique and ordered_non_unique</span> <span class=keyword>template</span><span class=special>&lt;</span><b>consult ordered_unique reference for arguments</b><span class=special>&gt;</span> <span class=keyword>struct</span> <span class=identifier>ordered_unique</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><b>consult ordered_non_unique reference for arguments</b><span class=special>&gt;</span> <span class=keyword>struct</span> <span class=identifier>ordered_non_unique</span><span class=special>;</span> <span class=comment>// indices</span> <span class=keyword>namespace</span> <span class=identifier>detail</span><span class=special>{</span> <span class=keyword>template</span><span class=special>&lt;</span><b>implementation defined</b><span class=special>&gt;</span> <span class=keyword>class</span> <b>index name is implementation defined</b><span class=special>;</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index::detail</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index</span> <span class=special>}</span> <span class=comment>// namespace boost</span> </pre></blockquote> <p> <code>ordered_index_fwd.hpp</code> provides forward declarations for index specifiers <a href="#unique_non_unique"><code>ordered_unique</code> and <code>ordered_non_unique</code></a> and their associated <a href="#ord_indices">ordered index</a> classes. </p> <h2> <a name="synopsis">Header <a href="../../../../boost/multi_index/ordered_index.hpp"> <code>"boost/multi_index/ordered_index.hpp"</code></a> synopsis</a></h2> <blockquote><pre> <span class=preprocessor>#include</span> <span class=special>&lt;</span><span class=identifier>initializer_list</span><span class=special>&gt;</span> <span class=keyword>namespace</span> <span class=identifier>boost</span><span class=special>{</span> <span class=keyword>namespace</span> <span class=identifier>multi_index</span><span class=special>{</span> <span class=comment>// index specifiers ordered_unique and ordered_non_unique</span> <span class=keyword>template</span><span class=special>&lt;</span><b>consult ordered_unique reference for arguments</b><span class=special>&gt;</span> <span class=keyword>struct</span> <span class=identifier>ordered_unique</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><b>consult ordered_non_unique reference for arguments</b><span class=special>&gt;</span> <span class=keyword>struct</span> <span class=identifier>ordered_non_unique</span><span class=special>;</span> <span class=comment>// indices</span> <span class=keyword>namespace</span> <span class=identifier>detail</span><span class=special>{</span> <span class=keyword>template</span><span class=special>&lt;</span><b>implementation defined</b><span class=special>&gt;</span> <span class=keyword>class</span> <b>index class name implementation defined</b><span class=special>;</span> <span class=comment>// index comparison:</span> <span class=comment>// <b>OP</b> is any of ==,&lt;,!=,&gt;,&gt;=,&lt;=</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span> <b><i>OP</i></b><span class=special>(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>);</span> <span class=comment>// index specialized algorithms:</span> <span class=keyword>template</span><span class=special>&lt;</span><b>implementation defined</b><span class=special>&gt;</span> <span class=keyword>void</span> <span class=identifier>swap</span><span class=special>(</span><b>index class name</b><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><b>index class name</b><span class=special>&amp;</span> <span class=identifier>y</span><span class=special>);</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index::detail</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index</span> <span class=special>}</span> <span class=comment>// namespace boost</span> </pre></blockquote> <h3><a name="unique_non_unique"> Index specifiers <code>ordered_unique</code> and <code>ordered_non_unique</code> </a></h3> <p> These <a href="indices.html#index_specification">index specifiers</a> allow for insertion of <a href="#ord_indices">ordered indices</a> without and with allowance of duplicate elements, respectively. The syntax of <code>ordered_unique</code> and <code>ordered_non_unique</code> coincide, thus we describe them in a grouped manner. <code>ordered_unique</code> and <code>ordered_non_unique</code> can be instantiated in two different forms, according to whether a tag list for the index is provided or not: </p> <blockquote><pre> <span class=keyword>template</span><span class=special>&lt;</span> <span class=keyword>typename</span> <span class=identifier>KeyFromValue</span><span class=special>,</span> <span class=keyword>typename</span> <span class=identifier>Compare</span><span class=special>=</span><span class=identifier>std</span><span class=special>::</span><span class=identifier>less</span><span class=special>&lt;</span><span class=identifier>KeyFromValue</span><span class=special>::</span><span class=identifier>result_type</span><span class=special>&gt;</span> <span class=special>&gt;</span> <span class=keyword>struct</span> <span class=special>(</span><span class=identifier>ordered_unique</span> <span class=special>|</span> <span class=identifier>ordered_non_unique</span><span class=special>)</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span> <span class=keyword>typename</span> <span class=identifier>TagList</span><span class=special>,</span> <span class=keyword>typename</span> <span class=identifier>KeyFromValue</span><span class=special>,</span> <span class=keyword>typename</span> <span class=identifier>Compare</span><span class=special>=</span><span class=identifier>std</span><span class=special>::</span><span class=identifier>less</span><span class=special>&lt;</span><span class=identifier>KeyFromValue</span><span class=special>::</span><span class=identifier>result_type</span><span class=special>&gt;</span> <span class=special>&gt;</span> <span class=keyword>struct</span> <span class=special>(</span><span class=identifier>ordered_unique</span> <span class=special>|</span> <span class=identifier>ordered_non_unique</span><span class=special>)</span><span class=special>;</span> </pre></blockquote> <p> If provided, <code>TagList</code> must be an instantiation of the class template <a href="indices.html#tag"><code>tag</code></a>. The template arguments are used by the corresponding index implementation, refer to the <a href="#ord_indices">ordered indices</a> reference section for further explanations on their acceptable type values. </p> <h3><a name="ord_indices">Ordered indices</a></h3> <p> An ordered index provides a set-like interface to the underlying heap of elements contained in a <code>multi_index_container</code>. An ordered index is particularized according to a given <a href="key_extraction.html#key_extractors"><code>Key Extractor</code></a> that retrieves keys from elements of <code>multi_index_container</code> and a comparison predicate. </p> <p> There are two variants of ordered indices: <i>unique</i>, which do not allow duplicate elements (with respect to its associated comparison predicate) and <i>non-unique</i>, which accept those duplicates. The interface of these two variants is the same, so they are documented together, with minor differences explicitly stated when they exist. </p> <p> Except where noted or if the corresponding interface does not exist, ordered indices (both unique and non-unique) satisfy the C++ requirements for associative containers at <b>[associative.reqmts]</b> (supporting unique and equivalent keys, respectively.) Accordingly, validity of iterators and references to elements is preserved. We only provide descriptions of those types and operations that do not exactly conform to or are not mandated by the standard requirements. </p> <blockquote><pre> <span class=keyword>namespace</span> <span class=identifier>boost</span><span class=special>{</span> <span class=keyword>namespace</span> <span class=identifier>multi_index</span><span class=special>{</span> <b>implementation defined </b><span class=identifier>unbounded</span><span class=special>;</span> <span class=comment>// see range()</span> <span class=keyword>namespace</span> <span class=identifier>detail</span><span class=special>{</span> <span class=keyword>template</span><span class=special>&lt;</span><b>implementation defined: dependent on types Value, Allocator, TagList, KeyFromValue, Compare</b><span class=special>&gt;</span> <span class=keyword>class</span> <b>name is implementation defined</b> <span class=special>{</span> <span class=keyword>public</span><span class=special>:</span> <span class=comment>// types:</span> <span class=keyword>typedef</span> <span class=keyword>typename</span> <span class=identifier>KeyFromValue</span><span class=special>::</span><span class=identifier>result_type</span> <span class=identifier>key_type</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>Value</span> <span class=identifier>value_type</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>KeyFromValue</span> <span class=identifier>key_from_value</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>Compare</span> <span class=identifier>key_compare</span><span class=special>;</span> <span class=keyword>typedef</span> <b>implementation defined </b><span class=identifier>value_compare</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>boost</span><span class=special>::</span><span class=identifier>tuple</span><span class=special>&lt;</span><span class=identifier>key_from_value</span><span class=special>,</span><span class=identifier>key_compare</span><span class=special>&gt;</span> <span class=identifier>ctor_args</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>TagList</span> <span class=identifier>tag_list</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=identifier>Allocator</span> <span class=identifier>allocator_type</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=keyword>typename</span> <span class=identifier>Allocator</span><span class=special>::</span><span class=identifier>reference</span> <span class=identifier>reference</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=keyword>typename</span> <span class=identifier>Allocator</span><span class=special>::</span><span class=identifier>const_reference</span> <span class=identifier>const_reference</span><span class=special>;</span> <span class=keyword>typedef</span> <b>implementation defined </b><span class=identifier>iterator</span><span class=special>;</span> <span class=keyword>typedef</span> <b>implementation defined </b><span class=identifier>const_iterator</span><span class=special>;</span> <span class=keyword>typedef</span> <b>implementation defined </b><span class=identifier>size_type</span><span class=special>;</span> <span class=keyword>typedef</span> <b>implementation defined </b><span class=identifier>difference_type</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=keyword>typename</span> <span class=identifier>Allocator</span><span class=special>::</span><span class=identifier>pointer</span> <span class=identifier>pointer</span><span class=special>;</span> <span class=keyword>typedef</span> <span class=keyword>typename</span> <span class=identifier>Allocator</span><span class=special>::</span><span class=identifier>const_pointer</span> <span class=identifier>const_pointer</span><span class=special>;</span> <span class=keyword>typedef</span> <b>equivalent to std::reverse_iterator&lt;iterator&gt;</b> <span class=identifier>reverse_iterator</span><span class=special>;</span> <span class=keyword>typedef</span> <b>equivalent to std::reverse_iterator&lt;const_iterator&gt;</b> <span class=identifier>const_reverse_iterator</span><span class=special>;</span> <span class=comment>// construct/copy/destroy:</span> <b>index class name</b><span class=special>&amp;</span> <span class=keyword>operator</span><span class=special>=(</span><span class=keyword>const</span> <b>index class name</b><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <b>index class name</b><span class=special>&amp;</span> <span class=keyword>operator</span><span class=special>=(</span><span class=identifier>std</span><span class=special>::</span><span class=identifier>initializer_list</span><span class=special>&lt;</span><span class=identifier>value_type</span><span class=special>&gt;</span> <span class=identifier>list</span><span class=special>);</span> <span class=identifier>allocator_type</span> <span class=identifier>get_allocator</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=comment>// iterators:</span> <span class=identifier>iterator</span> <span class=identifier>begin</span><span class=special>()</span><span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_iterator</span> <span class=identifier>begin</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>iterator</span> <span class=identifier>end</span><span class=special>()</span><span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_iterator</span> <span class=identifier>end</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>reverse_iterator</span> <span class=identifier>rbegin</span><span class=special>()</span><span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_reverse_iterator</span> <span class=identifier>rbegin</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>reverse_iterator</span> <span class=identifier>rend</span><span class=special>()</span><span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_reverse_iterator</span> <span class=identifier>rend</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_iterator</span> <span class=identifier>cbegin</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_iterator</span> <span class=identifier>cend</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_reverse_iterator</span> <span class=identifier>crbegin</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>const_reverse_iterator</span> <span class=identifier>crend</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>iterator</span> <span class=identifier>iterator_to</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>value_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=identifier>const_iterator</span> <span class=identifier>iterator_to</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>value_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=comment>// capacity:</span> <span class=keyword>bool</span> <span class=identifier>empty</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>size_type</span> <span class=identifier>size</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=identifier>size_type</span> <span class=identifier>max_size</span><span class=special>()</span><span class=keyword>const</span> <span class=keyword>noexcept</span><span class=special>;</span> <span class=comment>// modifiers:</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span><span class=special>...</span> <span class=identifier>Args</span><span class=special>&gt;</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=keyword>bool</span><span class=special>&gt;</span> <span class=identifier>emplace</span><span class=special>(</span><span class=identifier>Args</span><span class=special>&amp;&amp;...</span> <span class=identifier>args</span><span class=special>);</span> <span class=keyword>template</span> <span class=special>&lt;</span><span class=keyword>typename</span><span class=special>...</span> <span class=identifier>Args</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>emplace_hint</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>Args</span><span class=special>&amp;&amp;...</span> <span class=identifier>args</span><span class=special>);</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=keyword>bool</span><span class=special>&gt;</span> <span class=identifier>insert</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>value_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=keyword>bool</span><span class=special>&gt;</span> <span class=identifier>insert</span><span class=special>(</span><span class=identifier>value_type</span><span class=special>&amp;&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=identifier>iterator</span> <span class=identifier>insert</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>value_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=identifier>iterator</span> <span class=identifier>insert</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>value_type</span><span class=special>&amp;&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>InputIterator</span><span class=special>&gt;</span> <span class=keyword>void</span> <span class=identifier>insert</span><span class=special>(</span><span class=identifier>InputIterator</span> <span class=identifier>first</span><span class=special>,</span><span class=identifier>InputIterator</span> <span class=identifier>last</span><span class=special>);</span> <span class=keyword>void</span> <span class=identifier>insert</span><span class=special>(</span><span class=identifier>std</span><span class=special>::</span><span class=identifier>initializer_list</span><span class=special>&lt;</span><span class=identifier>value_type</span><span class=special>&gt;</span> <span class=identifier>list</span><span class=special>);</span> <span class=identifier>iterator</span> <span class=identifier>erase</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>);</span> <span class=identifier>size_type</span> <span class=identifier>erase</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>key_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=identifier>iterator</span> <span class=identifier>erase</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>first</span><span class=special>,</span><span class=identifier>iterator</span> <span class=identifier>last</span><span class=special>);</span> <span class=keyword>bool</span> <span class=identifier>replace</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>value_type</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=keyword>bool</span> <span class=identifier>replace</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>value_type</span><span class=special>&amp;&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>Modifier</span><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=identifier>modify</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>Modifier</span> <span class=identifier>mod</span><span class=special>);</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>Modifier</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>Rollback</span><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=identifier>modify</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>Modifier</span> <span class=identifier>mod</span><span class=special>,</span><span class=identifier>Rollback</span> <span class=identifier>back</span><span class=special>);</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>Modifier</span><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=identifier>modify_key</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>Modifier</span> <span class=identifier>mod</span><span class=special>);</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>Modifier</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>Rollback</span><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=identifier>modify_key</span><span class=special>(</span><span class=identifier>iterator</span> <span class=identifier>position</span><span class=special>,</span><span class=identifier>Modifier</span> <span class=identifier>mod</span><span class=special>,</span><span class=identifier>Rollback</span> <span class=identifier>back</span><span class=special>);</span> <span class=keyword>void</span> <span class=identifier>swap</span><span class=special>(</span><b>index class name</b><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>);</span> <span class=keyword>void</span> <span class=identifier>clear</span><span class=special>()</span><span class=keyword>noexcept</span><span class=special>;</span> <span class=comment>// observers:</span> <span class=identifier>key_from_value</span> <span class=identifier>key_extractor</span><span class=special>()</span><span class=keyword>const</span><span class=special>;</span> <span class=identifier>key_compare</span> <span class=identifier>key_comp</span><span class=special>()</span><span class=keyword>const</span><span class=special>;</span> <span class=identifier>value_compare</span> <span class=identifier>value_comp</span><span class=special>()</span><span class=keyword>const</span><span class=special>;</span> <span class=comment>// set operations:</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>find</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>CompatibleCompare</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>find</span><span class=special>(</span> <span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>CompatibleCompare</span><span class=special>&amp;</span> <span class=identifier>comp</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>&gt;</span> <span class=identifier>size_type</span> <span class=identifier>count</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>CompatibleCompare</span><span class=special>&gt;</span> <span class=identifier>size_type</span> <span class=identifier>count</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>CompatibleCompare</span><span class=special>&amp;</span> <span class=identifier>comp</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>lower_bound</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>CompatibleCompare</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>lower_bound</span><span class=special>(</span> <span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>CompatibleCompare</span><span class=special>&amp;</span> <span class=identifier>comp</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>upper_bound</span><span class=special>(</span><span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>CompatibleCompare</span><span class=special>&gt;</span> <span class=identifier>iterator</span> <span class=identifier>upper_bound</span><span class=special>(</span> <span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>CompatibleCompare</span><span class=special>&amp;</span> <span class=identifier>comp</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>&gt;</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=identifier>iterator</span><span class=special>&gt;</span> <span class=identifier>equal_range</span><span class=special>(</span> <span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>CompatibleKey</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>CompatibleCompare</span><span class=special>&gt;</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=identifier>iterator</span><span class=special>&gt;</span> <span class=identifier>equal_range</span><span class=special>(</span> <span class=keyword>const</span> <span class=identifier>CompatibleKey</span><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><span class=keyword>const</span> <span class=identifier>CompatibleCompare</span><span class=special>&amp;</span> <span class=identifier>comp</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=comment>// range:</span> <span class=keyword>template</span><span class=special>&lt;</span><span class=keyword>typename</span> <span class=identifier>LowerBounder</span><span class=special>,</span><span class=keyword>typename</span> <span class=identifier>UpperBounder</span><span class=special>&gt;</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>pair</span><span class=special>&lt;</span><span class=identifier>iterator</span><span class=special>,</span><span class=identifier>iterator</span><span class=special>&gt;</span> <span class=identifier>range</span><span class=special>(</span> <span class=identifier>LowerBounder</span> <span class=identifier>lower</span><span class=special>,</span><span class=identifier>UpperBounder</span> <span class=identifier>upper</span><span class=special>)</span><span class=keyword>const</span><span class=special>;</span> <span class=special>};</span> <span class=comment>// index comparison:</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>==(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=identifier>x</span><span class=special>.</span><span class=identifier>size</span><span class=special>()==</span><span class=identifier>y</span><span class=special>.</span><span class=identifier>size</span><span class=special>()&amp;&amp;</span><span class=identifier>std</span><span class=special>::</span><span class=identifier>equal</span><span class=special>(</span><span class=identifier>x</span><span class=special>.</span><span class=identifier>begin</span><span class=special>(),</span><span class=identifier>x</span><span class=special>.</span><span class=identifier>end</span><span class=special>(),</span><span class=identifier>y</span><span class=special>.</span><span class=identifier>begin</span><span class=special>());</span> <span class=special>}</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>&lt;(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=identifier>std</span><span class=special>::</span><span class=identifier>lexicographical_compare</span><span class=special>(</span><span class=identifier>x</span><span class=special>.</span><span class=identifier>begin</span><span class=special>(),</span><span class=identifier>x</span><span class=special>.</span><span class=identifier>end</span><span class=special>(),</span><span class=identifier>y</span><span class=special>.</span><span class=identifier>begin</span><span class=special>(),</span><span class=identifier>y</span><span class=special>.</span><span class=identifier>end</span><span class=special>());</span> <span class=special>}</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>!=(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=special>!(</span><span class=identifier>x</span><span class=special>==</span><span class=identifier>y</span><span class=special>);</span> <span class=special>}</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>&gt;(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=identifier>y</span><span class=special>&lt;</span><span class=identifier>x</span><span class=special>;</span> <span class=special>}</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>&gt;=(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=special>!(</span><span class=identifier>x</span><span class=special>&lt;</span><span class=identifier>y</span><span class=special>);</span> <span class=special>}</span> <span class=keyword>template</span><span class=special>&lt;</span><b>arg set 1</b><span class=special>,</span><b>arg set 2</b><span class=special>&gt;</span> <span class=keyword>bool</span> <span class=keyword>operator</span><span class=special>&lt;=(</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 1</b><span class=special>&gt;&amp;</span> <span class=identifier>x</span><span class=special>,</span> <span class=keyword>const</span> <b>index class name</b><span class=special>&lt;</span><b>arg set 2</b><span class=special>&gt;&amp;</span> <span class=identifier>y</span><span class=special>)</span> <span class=special>{</span> <span class=keyword>return</span> <span class=special>!(</span><span class=identifier>x</span><span class=special>&gt;</span><span class=identifier>y</span><span class=special>);</span> <span class=special>}</span> <span class=comment>// index specialized algorithms:</span> <span class=keyword>template</span><span class=special>&lt;</span><b>implementation defined</b><span class=special>&gt;</span> <span class=keyword>void</span> <span class=identifier>swap</span><span class=special>(</span><b>index class name</b><span class=special>&amp;</span> <span class=identifier>x</span><span class=special>,</span><b>index class name</b><span class=special>&amp;</span> <span class=identifier>y</span><span class=special>);</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index::detail</span> <span class=special>}</span> <span class=comment>// namespace boost::multi_index</span> <span class=special>}</span> <span class=comment>// namespace boost</span> </pre></blockquote> <h4><a name="complexity_signature">Complexity signature</a></h4> <p> Here and in the descriptions of operations of ordered indices, we adopt the scheme outlined in the <a href="indices.html#complexity_signature">complexity signature section</a>. The complexity signature of ordered indices is: <ul> <li>copying: <code>c(n)=n*log(n)</code>,</li> <li>insertion: <code>i(n)=log(n)</code>,</li> <li>hinted insertion: <code>h(n)=1</code> (constant) if the hint element is immediately after the point of insertion, <code>h(n)=log(n)</code> otherwise,</li> <li>deletion: <code>d(n)=1</code> (amortized constant),</li> <li>replacement: <code>r(n)=1</code> (constant) if the element position does not change, <code>r(n)=log(n)</code> otherwise,</li> <li>modifying: <code>m(n)=1</code> (constant) if the element position does not change, <code>m(n)=log(n)</code> otherwise.</li> </ul> </p> <h4><a name="instantiation_types">Instantiation types</a></h4> <p>Ordered indices are instantiated internally to <code>multi_index_container</code> and specified by means of <a href="indices.html#indexed_by"><code>indexed_by</code></a> with <a href="#unique_non_unique"> index specifiers <code>ordered_unique</code> and <code>ordered_non_unique</code></a>. Instantiations are dependent on the following types: <ul> <li><code>Value</code> from <code>multi_index_container</code>,</li> <li><code>Allocator</code> from <code>multi_index_container</code>,</li> <li><code>TagList</code> from the index specifier (if provided, otherwise <code>tag&lt;&gt;</code> is assumed),</li> <li><code>KeyFromValue</code> from the index specifier,</li> <li><code>Compare</code> from the index specifier.</li> </ul> <code>TagList</code> must be an instantiation of <a href="indices.html#tag"><code>tag</code></a>. The type <code>KeyFromValue</code>, which determines the mechanism for extracting a key from <code>Value</code>, must be a model of <a href="key_extraction.html#key_extractors"> <code>Key Extractor</code></a> from <code>Value</code>. <code>Compare</code> is a <code>CopyConstructible</code> binary predicate inducing a strict weak order on elements of <code>KeyFromValue::result_type</code>. </p> <h4><a name="constructors">Constructors, copy and assignment</a></h4> <p> As explained in the <a href="indices.html#index_concepts">index concepts section</a>, indices do not have public constructors or destructors. Assignment, on the other hand, is provided. </p> <code><b>index class name</b>&amp; operator=(const <b>index class name</b>&amp; x);</code> <blockquote> <b>Effects:</b> <blockquote><pre> <span class=identifier>a</span><span class=special>=</span><span class=identifier>b</span><span class=special>;</span> </pre></blockquote> where <code>a</code> and <code>b</code> are the <code>multi_index_container</code> objects to which <code>*this</code> and <code>x</code> belong, respectively.<br> <b>Returns:</b> <code>*this</code>.<br> </blockquote> <code><b>index class name</b>&amp; operator=(std::initializer_list&lt;value_type&gt; list);</code> <blockquote> <b>Effects:</b> <blockquote><pre> <span class=identifier>a</span><span class=special>=</span><span class=identifier>list</span><span class=special>;</span> </pre></blockquote> where <code>a</code> is the <code>multi_index_container</code> object to which <code>*this</code> belongs.<br> <b>Returns:</b> <code>*this</code>.<br> </blockquote> <h4><a name="iterators">Iterators</a></h4> <code>iterator&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;iterator_to(const value_type&amp; x);<br> const_iterator iterator_to(const value_type&amp; x)const;</code> <blockquote> <b>Requires:</b> <code>x</code> is a reference to an element of the container.<br> <b>Returns:</b> An iterator to <code>x</code>.<br> <b>Complexity:</b> Constant.<br> <b>Exception safety:</b> <code>nothrow</code>.<br> </blockquote> <h4><a name="modifiers">Modifiers</a></h4> <code>template&lt;typename... Args&gt;<br> std::pair&lt;iterator,bool&gt; emplace(Args&amp;&amp;... args);</code> <blockquote> <b>Requires:</b> <code>value_type</code> is <code>EmplaceConstructible</code> into <code>multi_index_container</code> from <code>args</code>.<br> <b>Effects:</b> Inserts a <code>value_type</code> object constructed with <code>std::forward&lt;Args&gt;(args)...</code> into the <code>multi_index_container</code> to which the index belongs if <ul> <li>the index is non-unique OR no other element exists with equivalent key,</li> <li>AND insertion is allowed by all other indices of the <code>multi_index_container</code>.</li> </ul> <b>Returns:</b> The return value is a pair <code>p</code>. <code>p.second</code> is <code>true</code> if and only if insertion took place. On successful insertion, <code>p.