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12 <h1 class="title">Bidirectional Traversal Concept</h1>
13
14 <!-- Copyright David Abrahams 2006. Distributed under the Boost -->
15 <!-- Software License, Version 1.0. (See accompanying -->
16 <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
17 <p>A class or built-in type <tt class="docutils literal"><span class="pre">X</span></tt> models the <em>Bidirectional Traversal</em>
18 concept if, in addition to <tt class="docutils literal"><span class="pre">X</span></tt> meeting the requirements of Forward
19 Traversal Iterator, the following expressions are valid and respect
20 the stated semantics.</p>
21 <table border="1" class="docutils">
22 <colgroup>
23 <col width="38%" />
24 <col width="37%" />
25 <col width="25%" />
26 </colgroup>
27 <thead valign="bottom">
28 <tr><th class="head" colspan="3">Bidirectional Traversal Iterator Requirements (in addition to Forward Traversal
29 Iterator)</th>
30 </tr>
31 <tr><th class="head">Expression</th>
32 <th class="head">Return Type</th>
33 <th class="head">Assertion/Semantics /
34 Pre-/Post-condition</th>
35 </tr>
36 </thead>
37 <tbody valign="top">
38 <tr><td><tt class="docutils literal"><span class="pre">--r</span></tt></td>
39 <td><tt class="docutils literal"><span class="pre">X&amp;</span></tt></td>
40 <td>pre: there exists
41 <tt class="docutils literal"><span class="pre">s</span></tt> such that <tt class="docutils literal"><span class="pre">r</span>
42 <span class="pre">==</span> <span class="pre">++s</span></tt>. post:
43 <tt class="docutils literal"><span class="pre">s</span></tt> is
44 dereferenceable.
45 <tt class="docutils literal"><span class="pre">--(++r)</span> <span class="pre">==</span> <span class="pre">r</span></tt>.
46 <tt class="docutils literal"><span class="pre">--r</span> <span class="pre">==</span> <span class="pre">--s</span></tt>
47 implies <tt class="docutils literal"><span class="pre">r</span> <span class="pre">==</span>
48 <span class="pre">s</span></tt>. <tt class="docutils literal"><span class="pre">&amp;r</span> <span class="pre">==</span> <span class="pre">&amp;--r</span></tt>.</td>
49 </tr>
50 <tr><td><tt class="docutils literal"><span class="pre">r--</span></tt></td>
51 <td>convertible to <tt class="docutils literal"><span class="pre">const</span> <span class="pre">X&amp;</span></tt></td>
52 <td><pre class="first last literal-block">
53 {
54 X tmp = r;
55 --r;
56 return tmp;
57 }
58 </pre>
59 </td>
60 </tr>
61 <tr><td><tt class="docutils literal"><span class="pre">iterator_traversal&lt;X&gt;::type</span></tt></td>
62 <td>Convertible to
63 <tt class="docutils literal"><span class="pre">bidirectional_traversal_tag</span></tt></td>
64 <td>&nbsp;</td>
65 </tr>
66 </tbody>
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