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<title>Bidirectional
Sequence</title>
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<div class="titlepage"><div><div><h4 class="title">
<a name="fusion.sequences.concepts.bidirectional_sequence"></a><a href="bidirectional_sequence.html" title="Bidirectional
Sequence">Bidirectional
Sequence</a></h4></div></div></div>
<a name="fusion.sequences.concepts.bidirectional_sequence.description"></a><h5>
<a name="id963964"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.description">Description</a>
</h5>
<p>
A Bidirectional Sequence is a <a href="forward_sequence.html" title="Forward
Sequence">Forward
Sequence</a> whose iterators model <a href="../../iterators/concepts/bidirectional_iterator.html" title="Bidirectional
Iterator">Bidirectional
Iterator</a>.
</p>
<a name="fusion.sequences.concepts.bidirectional_sequence.refinement_of"></a><h5>
<a name="id964009"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.refinement_of">Refinement
of</a>
</h5>
<p>
<a href="forward_sequence.html" title="Forward
Sequence">Forward Sequence</a>
</p>
<div class="variablelist">
<p class="title"><b>Notation</b></p>
<dl>
<dt><span class="term"><code class="computeroutput"><span class="identifier">s</span></code></span></dt>
<dd>
A Forward Sequence
</dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">S</span></code></span></dt>
<dd>
A Forward Sequence type
</dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">o</span></code></span></dt>
<dd>
An arbitrary object
</dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">e</span></code></span></dt>
<dd>
A Sequence element
</dd>
</dl>
</div>
<a name="fusion.sequences.concepts.bidirectional_sequence.valid_expressions"></a><h5>
<a name="id964116"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.valid_expressions">Valid
Expressions</a>
</h5>
<p>
In addition to the requirements defined in <a href="forward_sequence.html" title="Forward
Sequence">Forward
Sequence</a>, for any Bidirectional Sequence the following must be met:
</p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>Expression</th>
<th>Return type</th>
<th>Type Requirements</th>
<th>Runtime
Complexity</th>
</tr></thead>
<tbody>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/functions/begin.html" title="begin"><code class="computeroutput"><span class="identifier">begin</span></code></a><span class="special">(</span><span class="identifier">s</span><span class="special">)</span></code></td>
<td><a href="../../iterators/concepts/bidirectional_iterator.html" title="Bidirectional
Iterator">Bidirectional
Iterator</a></td>
<td> </td>
<td>Constant</td>
</tr>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/functions/end.html" title="end"><code class="computeroutput"><span class="identifier">end</span></code></a><span class="special">(</span><span class="identifier">s</span><span class="special">)</span></code></td>
<td><a href="../../iterators/concepts/bidirectional_iterator.html" title="Bidirectional
Iterator">Bidirectional
Iterator</a></td>
<td> </td>
<td>Constant</td>
</tr>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/functions/back.html" title="back"><code class="computeroutput"><span class="identifier">back</span></code></a><span class="special">(</span><span class="identifier">s</span><span class="special">)</span></code></td>
<td>Any
type</td>
<td> </td>
<td>Constant</td>
</tr>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/functions/back.html" title="back"><code class="computeroutput"><span class="identifier">back</span></code></a><span class="special">(</span><span class="identifier">s</span><span class="special">)</span> <span class="special">=</span> <span class="identifier">o</span></code></td>
<td>Any
type</td>
<td>
<code class="computeroutput"><span class="identifier">s</span></code>
is mutable and <code class="computeroutput"><span class="identifier">e</span> <span class="special">=</span> <span class="identifier">o</span></code>,
where <code class="computeroutput"><span class="identifier">e</span></code> is the first
element in the sequence, is a valid expression.</td>
<td>Constant</td>
</tr>
</tbody>
</table></div>
<a name="fusion.sequences.concepts.bidirectional_sequence.result_type_expressions"></a><h5>
<a name="id964412"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.result_type_expressions">Result
Type Expressions</a>
</h5>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>Expression</th>
<th>Compile Time Complexity</th>
</tr></thead>
<tbody>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/metafunctions/begin.html" title="begin"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">begin</span></code></a><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;::</span><span class="identifier">type</span></code></td>
<td>Amortized constant
time</td>
</tr>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/metafunctions/end.html" title="end"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">end</span></code></a><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;::</span><span class="identifier">type</span></code></td>
<td>Amortized constant
time</td>
</tr>
<tr>
<td><code class="computeroutput"><a href="../intrinsics/metafunctions/back.html" title="back"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">back</span></code></a><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;::</span><span class="identifier">type</span></code></td>
<td>Amortized constant
time</td>
</tr>
</tbody>
</table></div>
<a name="fusion.sequences.concepts.bidirectional_sequence.expression_semantics"></a><h5>
<a name="id964619"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.expression_semantics">Expression
Semantics</a>
</h5>
<p>
The semantics of an expression are defined only where they differ from,
or are not defined in <a href="forward_sequence.html" title="Forward
Sequence">Forward
Sequence</a>.
</p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>Expression</th>
<th>Semantics</th>
</tr></thead>
<tbody><tr>
<td><code class="computeroutput"><a href="../intrinsics/functions/back.html" title="back"><code class="computeroutput"><span class="identifier">back</span></code></a><span class="special">(</span><span class="identifier">s</span><span class="special">)</span></code></td>
<td>The
last element in the sequence; see <a href="../intrinsics/functions/back.html" title="back"><code class="computeroutput"><span class="identifier">back</span></code></a>.</td>
</tr></tbody>
</table></div>
<a name="fusion.sequences.concepts.bidirectional_sequence.models"></a><h5>
<a name="id964733"></a>
<a href="bidirectional_sequence.html#fusion.sequences.concepts.bidirectional_sequence.models">Models</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li><a href="../adapted/std__pair.html" title="std::pair"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span></code></a></li>
<li><a href="../adapted/boost__array.html" title="boost::array"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">array</span></code></a></li>
<li><a href="../containers/vector.html" title="vector"><code class="computeroutput"><span class="identifier">vector</span></code></a></li>
<li>
<a href="../views/iterator_range.html" title="iterator_range"><code class="computeroutput"><span class="identifier">iterator_range</span></code></a>
(where adapted sequence is a Bidirectional Sequence)
</li>
<li>
<a href="../views/transform_view.html" title="transform_view"><code class="computeroutput"><span class="identifier">transform_view</span></code></a>
(where adapted sequence is a Bidirectional Sequence)
</li>
<li><a href="../views/reverse_view.html" title="reverse_view"><code class="computeroutput"><span class="identifier">reverse_view</span></code></a></li>
</ul></div>
</div>
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