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4<title>Forward Iterator</title>
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25<div class="section">
26<div class="titlepage"><div><div><h4 class="title">
27<a name="fusion.iterator.concepts.forward_iterator"></a><a class="link" href="forward_iterator.html" title="Forward Iterator">Forward
28        Iterator</a>
29</h4></div></div></div>
30<h6>
31<a name="fusion.iterator.concepts.forward_iterator.h0"></a>
32          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.description"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.description">Description</a>
33        </h6>
34<p>
35          A Forward Iterator traverses a <a class="link" href="../../sequence.html" title="Sequence">Sequence</a>
36          allowing movement in only one direction through it's elements, one element
37          at a time.
38        </p>
39<div class="variablelist">
40<p class="title"><b>Notation</b></p>
41<dl class="variablelist">
42<dt><span class="term"><code class="computeroutput"><span class="identifier">i</span></code>, <code class="computeroutput"><span class="identifier">j</span></code></span></dt>
43<dd><p>
44                Forward Iterators
45              </p></dd>
46<dt><span class="term"><code class="computeroutput"><span class="identifier">I</span></code>, <code class="computeroutput"><span class="identifier">J</span></code></span></dt>
47<dd><p>
48                Forward Iterator types
49              </p></dd>
50<dt><span class="term"><code class="computeroutput"><span class="identifier">M</span></code></span></dt>
51<dd><p>
52                An <a href="http://www.boost.org/libs/mpl" target="_top">MPL</a> integral
53                constant
54              </p></dd>
55<dt><span class="term"><code class="computeroutput"><span class="identifier">N</span></code></span></dt>
56<dd><p>
57                An integral constant
58              </p></dd>
59</dl>
60</div>
61<h6>
62<a name="fusion.iterator.concepts.forward_iterator.h1"></a>
63          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.expression_requirements"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.expression_requirements">Expression
64          requirements</a>
65        </h6>
66<p>
67          A type models Forward Iterator if, in addition to being CopyConstructable,
68          the following expressions are valid:
69        </p>
70<div class="informaltable"><table class="table">
71<colgroup>
72<col>
73<col>
74<col>
75</colgroup>
76<thead><tr>
77<th>
78                  <p>
79                    Expression
80                  </p>
81                </th>
82<th>
83                  <p>
84                    Return type
85                  </p>
86                </th>
87<th>
88                  <p>
89                    Runtime Complexity
90                  </p>
91                </th>
92</tr></thead>
93<tbody>
94<tr>
95<td>
96                  <p>
97                    <code class="computeroutput"><a class="link" href="../functions/next.html" title="next"><code class="computeroutput"><span class="identifier">next</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
98                  </p>
99                </td>
100<td>
101                  <p>
102                    <a class="link" href="forward_iterator.html" title="Forward Iterator">Forward
103                    Iterator</a>
104                  </p>
105                </td>
106<td>
107                  <p>
108                    Constant
109                  </p>
110                </td>
111</tr>
112<tr>
113<td>
114                  <p>
115                    <code class="computeroutput"><span class="identifier">i</span> <span class="special">==</span>
116                    <span class="identifier">j</span></code>
117                  </p>
118                </td>
119<td>
120                  <p>
121                    Convertible to bool
122                  </p>
123                </td>
124<td>
125                  <p>
126                    Constant
127                  </p>
128                </td>
129</tr>
130<tr>
131<td>
132                  <p>
133                    <code class="computeroutput"><span class="identifier">i</span> <span class="special">!=</span>
134                    <span class="identifier">j</span></code>
135                  </p>
136                </td>
137<td>
138                  <p>
139                    Convertible to bool
140                  </p>
141                </td>
142<td>
143                  <p>
144                    Constant
145                  </p>
146                </td>
147</tr>
148<tr>
149<td>
150                  <p>
151                    <code class="computeroutput"><a class="link" href="../functions/advance_c.html" title="advance_c"><code class="computeroutput"><span class="identifier">advance_c</span></code></a><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
152                  </p>
153                </td>
154<td>
155                  <p>
156                    <a class="link" href="forward_iterator.html" title="Forward Iterator">Forward
157                    Iterator</a>
158                  </p>
159                </td>
160<td>
161                  <p>
162                    Constant
163                  </p>
164                </td>
165</tr>
166<tr>
167<td>
168                  <p>
169                    <code class="computeroutput"><a class="link" href="../functions/advance.html" title="advance"><code class="computeroutput"><span class="identifier">advance</span></code></a><span class="special">&lt;</span><span class="identifier">M</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
170                  </p>
171                </td>
172<td>
173                  <p>
174                    <a class="link" href="forward_iterator.html" title="Forward Iterator">Forward
175                    Iterator</a>
176                  </p>
177                </td>
178<td>
179                  <p>
180                    Constant
181                  </p>
182                </td>
183</tr>
184<tr>
185<td>
186                  <p>
187                    <code class="computeroutput"><a class="link" href="../functions/distance.html" title="distance"><code class="computeroutput"><span class="identifier">distance</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">,</span>
188                    <span class="identifier">j</span><span class="special">)</span></code>
189                  </p>
190                </td>
191<td>
192                  <p>
193                    <code class="computeroutput"><a class="link" href="../metafunctions/distance.html" title="distance"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">distance</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">,</span>
194                    <span class="identifier">J</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
195                  </p>
196                </td>
197<td>
198                  <p>
199                    Constant
200                  </p>
201                </td>
202</tr>
203<tr>
204<td>
205                  <p>
206                    <code class="computeroutput"><a class="link" href="../functions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">deref</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
207                  </p>
208                </td>
209<td>
210                  <p>
211                    <code class="computeroutput"><a class="link" href="../metafunctions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">deref</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
212                  </p>
213                </td>
214<td>
215                  <p>
216                    Constant
217                  </p>
218                </td>
219</tr>
220<tr>
221<td>
222                  <p>
223                    <code class="computeroutput"><span class="special">*</span><span class="identifier">i</span></code>
224                  </p>
225                </td>
226<td>
227                  <p>
228                    <code class="computeroutput"><a class="link" href="../metafunctions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">deref</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
229                  </p>
230                </td>
231<td>
232                  <p>
233                    Constant
234                  </p>
235                </td>
236</tr>
237</tbody>
238</table></div>
239<h6>
240<a name="fusion.iterator.concepts.forward_iterator.h2"></a>
241          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.meta_expressions"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.meta_expressions">Meta
242          Expressions</a>
243        </h6>
244<div class="informaltable"><table class="table">
245<colgroup>
246<col>
247<col>
248</colgroup>
249<thead><tr>
250<th>
251                  <p>
252                    Expression
253                  </p>
254                </th>
255<th>
256                  <p>
257                    Compile Time Complexity
258                  </p>
259                </th>
260</tr></thead>
261<tbody>
262<tr>
263<td>
264                  <p>
265                    <code class="computeroutput"><a class="link" href="../metafunctions/next.html" title="next"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">next</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
266                  </p>
267                </td>
268<td>
269                  <p>
270                    Amortized constant time
271                  </p>
272                </td>
273</tr>
274<tr>
275<td>
276                  <p>
277                    <code class="computeroutput"><a class="link" href="../metafunctions/equal_to.html" title="equal_to"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">equal_to</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">,</span>
278                    <span class="identifier">J</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
279                  </p>
280                </td>
281<td>
282                  <p>
283                    Amortized constant time
284                  </p>
285                </td>
286</tr>
287<tr>
288<td>
289                  <p>
290                    <code class="computeroutput"><a class="link" href="../metafunctions/advance_c.html" title="advance_c"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">advance_c</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">,</span>
291                    <span class="identifier">N</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
292                  </p>
293                </td>
294<td>
295                  <p>
296                    Linear
297                  </p>
298                </td>
299</tr>
300<tr>
301<td>
302                  <p>
303                    <code class="computeroutput"><a class="link" href="../metafunctions/advance.html" title="advance"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">advance</span></code></a><span class="special">&lt;</span><span class="identifier">I</span> <span class="special">,</span><span class="identifier">M</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
304                  </p>
305                </td>
306<td>
307                  <p>
308                    Linear
309                  </p>
310                </td>
311</tr>
312<tr>
313<td>
314                  <p>
315                    <code class="computeroutput"><a class="link" href="../metafunctions/distance.html" title="distance"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">distance</span></code></a><span class="special">&lt;</span><span class="identifier">I</span> <span class="special">,</span><span class="identifier">J</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
316                  </p>
317                </td>
318<td>
319                  <p>
320                    Linear
321                  </p>
322                </td>
323</tr>
324<tr>
325<td>
326                  <p>
327                    <code class="computeroutput"><a class="link" href="../metafunctions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">deref</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
328                  </p>
329                </td>
330<td>
331                  <p>
332                    Amortized constant time
333                  </p>
334                </td>
335</tr>
336<tr>
337<td>
338                  <p>
339                    <code class="computeroutput"><a class="link" href="../metafunctions/value_of.html" title="value_of"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">value_of</span></code></a><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
340                  </p>
341                </td>
342<td>
343                  <p>
344                    Amortized constant time
345                  </p>
346                </td>
347</tr>
348</tbody>
349</table></div>
350<h6>
351<a name="fusion.iterator.concepts.forward_iterator.h3"></a>
352          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.expression_semantics"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.expression_semantics">Expression
353          Semantics</a>
354        </h6>
355<div class="informaltable"><table class="table">
356<colgroup>
357<col>
358<col>
359</colgroup>
360<thead><tr>
361<th>
362                  <p>
363                    Expression
364                  </p>
365                </th>
366<th>
367                  <p>
368                    Semantics
369                  </p>
370                </th>
371</tr></thead>
372<tbody>
373<tr>
374<td>
375                  <p>
376                    <code class="computeroutput"><a class="link" href="../functions/next.html" title="next"><code class="computeroutput"><span class="identifier">next</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
377                  </p>
378                </td>
379<td>
380                  <p>
381                    An iterator to the element following <code class="computeroutput"><span class="identifier">i</span></code>
382                  </p>
383                </td>
384</tr>
385<tr>
386<td>
387                  <p>
388                    <code class="computeroutput"><span class="identifier">i</span> <span class="special">==</span>
389                    <span class="identifier">j</span></code>
390                  </p>
391                </td>
392<td>
393                  <p>
394                    Iterator equality comparison
395                  </p>
396                </td>
397</tr>
398<tr>
399<td>
400                  <p>
401                    <code class="computeroutput"><span class="identifier">i</span> <span class="special">!=</span>
402                    <span class="identifier">j</span></code>
403                  </p>
404                </td>
405<td>
406                  <p>
407                    Iterator inequality comparison
408                  </p>
409                </td>
410</tr>
411<tr>
412<td>
413                  <p>
414                    <code class="computeroutput"><a class="link" href="../functions/advance_c.html" title="advance_c"><code class="computeroutput"><span class="identifier">advance_c</span></code></a><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
415                  </p>
416                </td>
417<td>
418                  <p>
419                    An iterator n elements after <code class="computeroutput"><span class="identifier">i</span></code>
420                    in the sequence
421                  </p>
422                </td>
423</tr>
424<tr>
425<td>
426                  <p>
427                    <code class="computeroutput"><a class="link" href="../functions/advance.html" title="advance"><code class="computeroutput"><span class="identifier">advance</span></code></a><span class="special">&lt;</span><span class="identifier">M</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
428                  </p>
429                </td>
430<td>
431                  <p>
432                    Equivalent to <code class="computeroutput"><span class="identifier">advance_c</span><span class="special">&lt;</span><span class="identifier">M</span><span class="special">::</span><span class="identifier">value</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
433                  </p>
434                </td>
435</tr>
436<tr>
437<td>
438                  <p>
439                    <code class="computeroutput"><a class="link" href="../functions/distance.html" title="distance"><code class="computeroutput"><span class="identifier">distance</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">,</span>
440                    <span class="identifier">j</span><span class="special">)</span></code>
441                  </p>
442                </td>
443<td>
444                  <p>
445                    The number of elements between <code class="computeroutput"><span class="identifier">i</span></code>
446                    and <code class="computeroutput"><span class="identifier">j</span></code>
447                  </p>
448                </td>
449</tr>
450<tr>
451<td>
452                  <p>
453                    <code class="computeroutput"><a class="link" href="../functions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">deref</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
454                  </p>
455                </td>
456<td>
457                  <p>
458                    The element at position<code class="computeroutput"><span class="identifier">i</span></code>
459                  </p>
460                </td>
461</tr>
462<tr>
463<td>
464                  <p>
465                    <code class="computeroutput"><span class="special">*</span><span class="identifier">i</span></code>
466                  </p>
467                </td>
468<td>
469                  <p>
470                    Equivalent to <code class="computeroutput"><span class="identifier">deref</span><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
471                  </p>
472                </td>
473</tr>
474</tbody>
475</table></div>
476<h6>
477<a name="fusion.iterator.concepts.forward_iterator.h4"></a>
478          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.invariants"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.invariants">Invariants</a>
479        </h6>
480<p>
481          The following invariants always hold:
482        </p>
483<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
484<li class="listitem">
485              <code class="computeroutput"><span class="special">!(</span><span class="identifier">i</span>
486              <span class="special">==</span> <span class="identifier">j</span><span class="special">)</span> <span class="special">==</span> <span class="special">(</span><span class="identifier">i</span> <span class="special">!=</span> <span class="identifier">j</span><span class="special">)</span></code>
487            </li>
488<li class="listitem">
489              <code class="computeroutput"><a class="link" href="../functions/next.html" title="next"><code class="computeroutput"><span class="identifier">next</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span> <span class="special">==</span> <a class="link" href="../functions/advance_c.html" title="advance_c"><code class="computeroutput"><span class="identifier">advance_c</span></code></a><span class="special">&lt;</span><span class="number">1</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">)</span></code>
490            </li>
491<li class="listitem">
492              <code class="computeroutput"><a class="link" href="../functions/distance.html" title="distance"><code class="computeroutput"><span class="identifier">distance</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">,</span> <a class="link" href="../functions/advance_c.html" title="advance_c"><code class="computeroutput"><span class="identifier">advance_c</span></code></a><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">N</span></code>
493            </li>
494<li class="listitem">
495              Using <code class="computeroutput"><a class="link" href="../functions/next.html" title="next"><code class="computeroutput"><span class="identifier">next</span></code></a></code> to traverse the
496              sequence will never return to a previously seen position
497            </li>
498<li class="listitem">
499              <code class="computeroutput"><a class="link" href="../functions/deref.html" title="deref"><code class="computeroutput"><span class="identifier">deref</span></code></a><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
500              is equivalent to <code class="computeroutput"><span class="special">*</span><span class="identifier">i</span></code>
501            </li>
502<li class="listitem">
503              If <code class="computeroutput"><span class="identifier">i</span> <span class="special">==</span>
504              <span class="identifier">j</span></code> then <code class="computeroutput"><span class="special">*</span><span class="identifier">i</span></code> is equivalent to <code class="computeroutput"><span class="special">*</span><span class="identifier">j</span></code>
505            </li>
506</ul></div>
507<h6>
508<a name="fusion.iterator.concepts.forward_iterator.h5"></a>
509          <span class="phrase"><a name="fusion.iterator.concepts.forward_iterator.models"></a></span><a class="link" href="forward_iterator.html#fusion.iterator.concepts.forward_iterator.models">Models</a>
510        </h6>
511<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
512<li class="listitem">
513              <a class="link" 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>
514              iterator
515            </li>
516<li class="listitem">
517              <a class="link" 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>
518              iterator
519            </li>
520<li class="listitem">
521              <a class="link" href="../../container/vector.html" title="vector"><code class="computeroutput"><span class="identifier">vector</span></code></a>
522              iterator
523            </li>
524<li class="listitem">
525              <a class="link" href="../../container/cons.html" title="cons"><code class="computeroutput"><span class="identifier">cons</span></code></a>
526              iterator
527            </li>
528<li class="listitem">
529              <a class="link" href="../../container/list.html" title="list"><code class="computeroutput"><span class="identifier">list</span></code></a>
530              iterator
531            </li>
532<li class="listitem">
533              <a class="link" href="../../container/set.html" title="set"><code class="computeroutput"><span class="identifier">set</span></code></a>
534              iterator
535            </li>
536<li class="listitem">
537              <a class="link" href="../../container/map.html" title="map"><code class="computeroutput"><span class="identifier">map</span></code></a>
538              iterator
539            </li>
540<li class="listitem">
541              <a class="link" href="../../view/single_view.html" title="single_view"><code class="computeroutput"><span class="identifier">single_view</span></code></a>
542              iterator
543            </li>
544<li class="listitem">
545              <a class="link" href="../../view/filter_view.html" title="filter_view"><code class="computeroutput"><span class="identifier">filter_view</span></code></a>
546              iterator
547            </li>
548<li class="listitem">
549              <a class="link" href="../../view/iterator_range.html" title="iterator_range"><code class="computeroutput"><span class="identifier">iterator_range</span></code></a>
550              iterator
551            </li>
552<li class="listitem">
553              <a class="link" href="../../view/joint_view.html" title="joint_view"><code class="computeroutput"><span class="identifier">joint_view</span></code></a>
554              iterator
555            </li>
556<li class="listitem">
557              <a class="link" href="../../view/transform_view.html" title="transform_view"><code class="computeroutput"><span class="identifier">transform_view</span></code></a>
558              iterator
559            </li>
560<li class="listitem">
561              <a class="link" href="../../view/reverse_view.html" title="reverse_view"><code class="computeroutput"><span class="identifier">reverse_view</span></code></a>
562              iterator
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568<td align="right"><div class="copyright-footer">Copyright © 2001-2006, 2011, 2012 Joel de Guzman,
569      Dan Marsden, Tobias Schwinger<p>
570        Distributed under the Boost Software License, Version 1.0. (See accompanying
571        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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