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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
19 to an element of a <a class="reference internal" href="./forward-sequence.html">Forward Sequence</a>. It allows to access the element through
20 a dereference operation, and provides a way to obtain an iterator to
21 the next element in a sequence.</p>
22 <!-- A [Forward Iterator] guarantees a linear traversal over
23 the 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>
29 is a well-defined expression.</li>
30 <li>An iterator is <cite>past-the-end</cite> if it points beyond the last element of a
31 sequence; 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
33 is, 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
34 not incrementable.</li>
35 <li>Two iterators into the same sequence are <cite>equivalent</cite> if they have the same
36 type.</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
38 application 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>
39 is 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
70 to <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">
79 typedef <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">
93 typedef <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">
109 typedef 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
125 element.</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
127 dereferenceable 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>
129 and <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
131 incrementable 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>
133 and <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 -->
140 </div>
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