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14<div class="section" id="forward-iterator">
15<h1><a class="toc-backref" href="./iterators-concepts.html#id1450">Forward Iterator</a></h1>
16<div class="section" id="id384">
17<h3><a class="subsection-title" href="#description" name="description">Description</a></h3>
18<p>A <a class="reference internal" href="./forward-iterator.html">Forward Iterator</a> <tt class="literal"><span class="pre">i</span></tt> is a type that represents a positional reference
19to an element of a <a class="reference internal" href="./forward-sequence.html">Forward Sequence</a>. It allows to access the element through
20a dereference operation, and provides a way to obtain an iterator to
21the next element in a sequence.</p>
22<!-- A [Forward Iterator] guarantees a linear traversal over
23the sequence. -->
24</div>
25<div class="section" id="id385">
26<h3><a class="subsection-title" href="#definitions" name="definitions">Definitions</a></h3>
27<ul class="simple">
28<li>An iterator can be <cite>dereferenceable</cite>, meaning that <tt class="literal"><span class="pre"><a href="./deref.html" class="identifier">deref</a>&lt;i&gt;::type</span></tt>
29is a well-defined expression.</li>
30<li>An iterator is <cite>past-the-end</cite> if it points beyond the last element of a
31sequence; past-the-end iterators are non-dereferenceable.</li>
32<li>An iterator <tt class="literal"><span class="pre">i</span></tt> is <cite>incrementable</cite> if there is a &quot;next&quot; iterator, that
33is, if <tt class="literal"><span class="pre"><a href="./next.html" class="identifier">next</a>&lt;i&gt;::type</span></tt> expression is well-defined; past-the-end iterators are
34not incrementable.</li>
35<li>Two iterators into the same sequence are <cite>equivalent</cite> if they have the same
36type.</li>
37<li>An iterator <tt class="literal"><span class="pre">j</span></tt> is <cite>reachable</cite> from an iterator <tt class="literal"><span class="pre">i</span></tt> if , after recursive
38application of <tt class="literal"><span class="pre"><a href="./next.html" class="identifier">next</a></span></tt> metafunction to <tt class="literal"><span class="pre">i</span></tt> a finite number of times, <tt class="literal"><span class="pre">i</span></tt>
39is equivalent to <tt class="literal"><span class="pre">j</span></tt>.</li>
40<li>The notation [<tt class="literal"><span class="pre">i</span></tt>,<tt class="literal"><span class="pre">j</span></tt>) refers to a <cite>range</cite> of iterators beginning with
41<tt class="literal"><span class="pre">i</span></tt> and up to but not including <tt class="literal"><span class="pre">j</span></tt>.</li>
42<li>The range [<tt class="literal"><span class="pre">i</span></tt>,<tt class="literal"><span class="pre">j</span></tt>) is a <cite>valid range</cite> if <tt class="literal"><span class="pre">j</span></tt> is reachable from <tt class="literal"><span class="pre">i</span></tt>.</li>
43</ul>
44</div>
45<div class="section" id="id386">
46<h3><a class="subsection-title" href="#expression-requirements" name="expression-requirements">Expression requirements</a></h3>
47<table border="1" class="docutils table">
48<colgroup>
49<col width="25%" />
50<col width="46%" />
51<col width="29%" />
52</colgroup>
53<thead valign="bottom">
54<tr><th class="head">Expression</th>
55<th class="head">Type</th>
56<th class="head">Complexity</th>
57</tr>
58</thead>
59<tbody valign="top">
60<tr><td><tt class="literal"><span class="pre"><a href="./deref.html" class="identifier">deref</a>&lt;i&gt;::type</span></tt></td>
61<td>Any type</td>
62<td>Amortized constant time</td>
63</tr>
64<tr><td><tt class="literal"><span class="pre"><a href="./next.html" class="identifier">next</a>&lt;i&gt;::type</span></tt></td>
65<td><a class="reference internal" href="./forward-iterator.html">Forward Iterator</a></td>
66<td>Amortized constant time</td>
67</tr>
68<tr><td><tt class="literal"><span class="pre">i::category</span></tt></td>
69<td><a class="reference internal" href="./integral-constant.html">Integral Constant</a>, convertible
70to <tt class="literal"><span class="pre">forward_iterator_tag</span></tt></td>
71<td>Constant time</td>
72</tr>
73</tbody>
74</table>
75</div>
76<div class="section" id="id387">
77<h3><a class="subsection-title" href="#expression-semantics" name="expression-semantics">Expression semantics</a></h3>
78<pre class="literal-block">
79typedef <a href="./deref.html" class="identifier">deref</a>&lt;i&gt;::type j;
80</pre>
81<table class="docutils field-list" frame="void" rules="none">
82<col class="field-name" />
83<col class="field-body" />
84<tbody valign="top">
85<tr class="field"><th class="field-name">Precondition:</th><td class="field-body"><tt class="literal"><span class="pre">i</span></tt> is dereferenceable</td>
86</tr>
87<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">j</span></tt> is identical to the type of the pointed element</td>
88</tr>
89</tbody>
90</table>
91<!-- .......................................................................... -->
92<pre class="literal-block">
93typedef <a href="./next.html" class="identifier">next</a>&lt;i&gt;::type j;
94</pre>
95<table class="docutils field-list" frame="void" rules="none">
96<col class="field-name" />
97<col class="field-body" />
98<tbody valign="top">
99<tr class="field"><th class="field-name">Precondition:</th><td class="field-body"><tt class="literal"><span class="pre">i</span></tt> is incrementable</td>
100</tr>
101<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">j</span></tt> is the next iterator in a sequence</td>
102</tr>
103<tr class="field"><th class="field-name">Postcondition:</th><td class="field-body"><tt class="literal"><span class="pre">j</span></tt> is dereferenceable or past-the-end</td>
104</tr>
105</tbody>
106</table>
107<!-- .......................................................................... -->
108<pre class="literal-block">
109typedef i::category c;
110</pre>
111<table class="docutils field-list" frame="void" rules="none">
112<col class="field-name" />
113<col class="field-body" />
114<tbody valign="top">
115<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">c</span></tt> is identical to the iterator's category tag</td>
116</tr>
117</tbody>
118</table>
119</div>
120<div class="section" id="id388">
121<h3><a class="subsection-title" href="#invariants" name="invariants">Invariants</a></h3>
122<p>For any forward iterators <tt class="literal"><span class="pre">i</span></tt> and <tt class="literal"><span class="pre">j</span></tt> the following invariants always hold:</p>
123<ul class="simple">
124<li><tt class="literal"><span class="pre">i</span></tt> and <tt class="literal"><span class="pre">j</span></tt> are equivalent if and only if they are pointing to the same
125element.</li>
126<li>If <tt class="literal"><span class="pre">i</span></tt> is dereferenceable, and <tt class="literal"><span class="pre">j</span></tt> is equivalent to <tt class="literal"><span class="pre">i</span></tt>, then <tt class="literal"><span class="pre">j</span></tt> is
127dereferenceable as well.</li>
128<li>If <tt class="literal"><span class="pre">i</span></tt> and <tt class="literal"><span class="pre">j</span></tt> are equivalent and dereferenceable, then <tt class="literal"><span class="pre"><a href="./deref.html" class="identifier">deref</a>&lt;i&gt;::type</span></tt>
129and <tt class="literal"><span class="pre"><a href="./deref.html" class="identifier">deref</a>&lt;j&gt;::type</span></tt> are identical.</li>
130<li>If <tt class="literal"><span class="pre">i</span></tt> is incrementable, and <tt class="literal"><span class="pre">j</span></tt> is equivalent to <tt class="literal"><span class="pre">i</span></tt>, then <tt class="literal"><span class="pre">j</span></tt> is
131incrementable as well.</li>
132<li>If <tt class="literal"><span class="pre">i</span></tt> and <tt class="literal"><span class="pre">j</span></tt> are equivalent and incrementable, then <tt class="literal"><span class="pre"><a href="./next.html" class="identifier">next</a>&lt;i&gt;::type</span></tt>
133and <tt class="literal"><span class="pre"><a href="./next.html" class="identifier">next</a>&lt;j&gt;::type</span></tt> are equivalent.</li>
134</ul>
135</div>
136<div class="section" id="id389">
137<h3><a class="subsection-title" href="#see-also" name="see-also">See also</a></h3>
138<p><a class="reference internal" href="./iterators.html">Iterators</a>, <a class="reference internal" href="./bidirectional-iterator.html">Bidirectional Iterator</a>, <a class="reference internal" href="./forward-sequence.html">Forward Sequence</a>, <a class="reference internal" href="./deref.html">deref</a>, <a class="reference internal" href="./next.html">next</a></p>
139<!-- Iterators/Concepts//Bidirectional Iterator |20 -->
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145<td><div class="copyright-footer"><div class="copyright">Copyright ©  2001-2009 Aleksey Gurtovoy and David Abrahams</div>
146Distributed under the Boost Software License, Version 1.0. (See accompanying
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