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24</div>
25<div class="section boost_icl_function_reference_containedness" lang="en">
26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_icl.function_reference.containedness"></a><a class="link" href="containedness.html" title="Containedness">Containedness</a>
28</h3></div></div></div>
29<div class="informaltable"><table class="table">
30<colgroup>
31<col>
32<col>
33<col>
34<col>
35<col>
36<col>
37</colgroup>
38<thead><tr>
39<th>
40 <p>
41 <span class="emphasis"><em><span class="bold"><strong>Containedness</strong></span></em></span>
42 </p>
43 </th>
44<th>
45 <p>
46 intervals
47 </p>
48 </th>
49<th>
50 <p>
51 interval<br> sets
52 </p>
53 </th>
54<th>
55 <p>
56 interval<br> maps
57 </p>
58 </th>
59<th>
60 <p>
61 element<br> sets
62 </p>
63 </th>
64<th>
65 <p>
66 element<br> maps
67 </p>
68 </th>
69</tr></thead>
70<tbody>
71<tr>
72<td>
73 <p>
74 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">empty</span><span class="special">()</span><span class="keyword">const</span></code>
75 </p>
76 </td>
77<td>
78 <p>
79 </p>
80 </td>
81<td>
82 <p>
83 1
84 </p>
85 </td>
86<td>
87 <p>
88 1
89 </p>
90 </td>
91<td>
92 <p>
93 1
94 </p>
95 </td>
96<td>
97 <p>
98 1
99 </p>
100 </td>
101</tr>
102<tr>
103<td>
104 <p>
105 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
106 </p>
107 </td>
108<td>
109 <p>
110 1
111 </p>
112 </td>
113<td>
114 <p>
115 1
116 </p>
117 </td>
118<td>
119 <p>
120 1
121 </p>
122 </td>
123<td>
124 <p>
125 1
126 </p>
127 </td>
128<td>
129 <p>
130 1
131 </p>
132 </td>
133</tr>
134<tr>
135<td>
136 <p>
137 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
138 <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
139 <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
140 <span class="identifier">T</span><span class="special">&amp;)</span></code>
141 </p>
142 </td>
143<td>
144 <p>
145 <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
146 <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
147 </p>
148 </td>
149<td>
150 <p>
151 <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
152 <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
153 <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
154 </p>
155 </td>
156<td>
157 <p>
158 <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
159 <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
160 <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
161 <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
162 <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
163 <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
164 </p>
165 </td>
166<td>
167 <p>
168 <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
169 <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
170 </p>
171 </td>
172<td>
173 <p>
174 <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
175 <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
176 </p>
177 </td>
178</tr>
179</tbody>
180</table></div>
181<p>
182 This group of functions refers to <span class="emphasis"><em><span class="bold"><strong>contain</strong></span></em></span>edness
183 which should be fundamental to <span class="emphasis"><em><span class="bold"><strong>contain</strong></span></em></span>ers.
184 The function <code class="computeroutput"><span class="identifier">contains</span></code> is
185 overloaded. It covers different kinds of containedness: Containedness of
186 elements, segments, and sub containers.
187 </p>
188<div class="informaltable"><table class="table">
189<colgroup>
190<col>
191<col>
192<col>
193</colgroup>
194<thead><tr>
195<th>
196 <p>
197 <span class="emphasis"><em><span class="bold"><strong>Containedness</strong></span></em></span>
198 </p>
199 </th>
200<th>
201 <p>
202 <span class="emphasis"><em>O(...)</em></span>
203 </p>
204 </th>
205<th>
206 <p>
207 Description
208 </p>
209 </th>
210</tr></thead>
211<tbody>
212<tr>
213<td>
214 <p>
215 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">empty</span><span class="special">()</span><span class="keyword">const</span></code><br>
216 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
217 </p>
218 </td>
219<td>
220 <p>
221 <span class="emphasis"><em>O(1)</em></span>
222 </p>
223 </td>
224<td>
225 <p>
226 Returns <code class="computeroutput"><span class="keyword">true</span></code>, if the
227 container is empty, <code class="computeroutput"><span class="keyword">false</span></code>
228 otherwise.
229 </p>
230 </td>
231</tr>
232<tr>
233<td>
234 <p>
235 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
236 <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
237 <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
238 <span class="identifier">T</span><span class="special">&amp;)</span></code>
239 </p>
240 </td>
241<td>
242 <p>
243 <a class="link" href="containedness.html#complexities_contains"><span class="emphasis"><em>see below</em></span></a>
244 </p>
245 </td>
246<td>
247 <p>
248 Returns <code class="computeroutput"><span class="keyword">true</span></code>, if <code class="computeroutput"><span class="identifier">super</span></code> container contains object
249 <code class="computeroutput"><span class="identifier">sub</span></code>.
250 </p>
251 </td>
252</tr>
253<tr>
254<td>
255 <p>
256 </p>
257 </td>
258<td>
259 <p>
260 where
261 </p>
262 </td>
263<td>
264 <p>
265 <span class="emphasis"><em>n</em></span><code class="computeroutput"> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">sub</span><span class="special">)</span></code>
266 </p>
267 </td>
268</tr>
269<tr>
270<td>
271 <p>
272 </p>
273 </td>
274<td>
275 <p>
276 </p>
277 </td>
278<td>
279 <p>
280 <span class="emphasis"><em>m</em></span><code class="computeroutput"> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">super</span><span class="special">)</span></code>
281 </p>
282 </td>
283</tr>
284</tbody>
285</table></div>
286<p>
287
288</p>
289<pre class="programlisting"><span class="comment">// overload tables for
290</span><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">)</span>
291<span class="keyword">bool</span> <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">)</span>
292
293<span class="identifier">element</span> <span class="identifier">containers</span><span class="special">:</span> <span class="identifier">interval</span> <span class="identifier">containers</span><span class="special">:</span>
294<span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
295<span class="special">--------+---</span> <span class="special">--------+-------</span>
296 <span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
297 <span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
298</pre>
299<p>
300 </p>
301<p>
302 The overloads of <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sup</span><span class="special">)</span></code> cover various kinds of containedness. We
303 can group them into a part (1) that checks if an element, a segment or a
304 container <span class="emphasis"><em>of same kinds</em></span> is contained in an element or
305 interval container
306 </p>
307<p>
308
309</p>
310<pre class="programlisting"><span class="comment">// (1) containedness of elements, segments or containers of same kind
311</span><span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
312<span class="special">---+--------</span> <span class="special">---+------------</span>
313 <span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
314 <span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
315</pre>
316<p>
317 </p>
318<p>
319 and another part (2) that checks the containedness of <span class="emphasis"><em>key objects</em></span>,
320 which can be <span class="emphasis"><em>elements</em></span> an <span class="emphasis"><em>intervals</em></span>
321 or a <span class="emphasis"><em>sets</em></span>.
322 </p>
323<p>
324
325</p>
326<pre class="programlisting"><span class="comment">// (2) containedness of key objects.
327</span><span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span>
328<span class="special">---+--------</span> <span class="special">---+------------</span>
329 <span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
330 <span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span>
331</pre>
332<p>
333 </p>
334<p>
335 For type <span class="bold"><strong>m</strong></span> = <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>,
336 a key element (<span class="bold"><strong>m</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">domain_type</span></code>) and an <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code>
337 </a> (<span class="bold"><strong>m</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">set_type</span></code>) can be a <span class="emphasis"><em><span class="bold"><strong>key object</strong></span></em></span>.
338 </p>
339<p>
340 For an interval map type <span class="bold"><strong>M</strong></span>, a key element
341 (<span class="bold"><strong>M</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">domain_type</span></code>), an interval (<span class="bold"><strong>M</strong></span><code class="computeroutput"><span class="special">::</span><span class="identifier">interval_type</span></code>)
342 and an <span class="emphasis"><em><span class="bold"><strong>interval set</strong></span></em></span>,
343 can be <span class="emphasis"><em><span class="bold"><strong>key objects</strong></span></em></span>.
344 </p>
345<a name="complexities_contains"></a><p>
346 Complexity characteristics for function <code class="computeroutput"><span class="keyword">bool</span>
347 <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">)</span><span class="keyword">const</span></code> are
348 given by the next tables where
349</p>
350<pre class="programlisting"><span class="identifier">n</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">super</span><span class="special">);</span>
351<span class="identifier">m</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">sub</span><span class="special">);</span> <span class="comment">//if P is a container type
352</span></pre>
353<p>
354 </p>
355<div class="table">
356<a name="id1142930"></a><p class="title"><b>Table&#160;1.19.&#160;Time Complexity for function contains on element
357 containers</b></p>
358<div class="table-contents"><table class="table" summary="Time Complexity for function contains on element
359 containers">
360<colgroup>
361<col>
362<col>
363<col>
364<col>
365<col>
366</colgroup>
367<thead><tr>
368<th>
369 <p>
370 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span>
371 <span class="identifier">super</span><span class="special">,</span>
372 <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
373 <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span>
374 <span class="identifier">super</span><span class="special">)</span></code>
375 </p>
376 </th>
377<th>
378 <p>
379 domain<br> type
380 </p>
381 </th>
382<th>
383 <p>
384 domain<br> mapping<br> type
385 </p>
386 </th>
387<th>
388 <p>
389 std::set
390 </p>
391 </th>
392<th>
393 <p>
394 icl::map
395 </p>
396 </th>
397</tr></thead>
398<tbody>
399<tr>
400<td>
401 <p>
402 <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a>
403 </p>
404 </td>
405<td>
406 <p>
407 <span class="emphasis"><em>O(log n)</em></span>
408 </p>
409 </td>
410<td>
411 <p>
412 </p>
413 </td>
414<td>
415 <p>
416 <span class="emphasis"><em>O(m log n)</em></span>
417 </p>
418 </td>
419<td>
420 <p>
421 </p>
422 </td>
423</tr>
424<tr>
425<td>
426 <p>
427 <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code>
428 </p>
429 </td>
430<td>
431 <p>
432 <span class="emphasis"><em>O(log n)</em></span>
433 </p>
434 </td>
435<td>
436 <p>
437 <span class="emphasis"><em>O(log n)</em></span>
438 </p>
439 </td>
440<td>
441 <p>
442 <span class="emphasis"><em>O(m log n)</em></span>
443 </p>
444 </td>
445<td>
446 <p>
447 <span class="emphasis"><em>O(m log n)</em></span>
448 </p>
449 </td>
450</tr>
451</tbody>
452</table></div>
453</div>
454<br class="table-break"><div class="table">
455<a name="id1143771"></a><p class="title"><b>Table&#160;1.20.&#160;Time Complexity for functions contains
456 and within on interval containers</b></p>
457<div class="table-contents"><table class="table" summary="Time Complexity for functions contains
458 and within on interval containers">
459<colgroup>
460<col>
461<col>
462<col>
463<col>
464<col>
465<col>
466<col>
467<col>
468</colgroup>
469<thead><tr>
470<th>
471 <p>
472 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span>
473 <span class="identifier">super</span><span class="special">,</span>
474 <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
475 <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span>
476 <span class="identifier">super</span><span class="special">)</span></code>
477 </p>
478 </th>
479<th>
480 <p>
481 </p>
482 </th>
483<th>
484 <p>
485 domain<br> type
486 </p>
487 </th>
488<th>
489 <p>
490 interval<br> type
491 </p>
492 </th>
493<th>
494 <p>
495 domain<br> mapping<br> type
496 </p>
497 </th>
498<th>
499 <p>
500 interval<br> mapping<br> type
501 </p>
502 </th>
503<th>
504 <p>
505 interval<br> sets
506 </p>
507 </th>
508<th>
509 <p>
510 interval<br> maps
511 </p>
512 </th>
513</tr></thead>
514<tbody>
515<tr>
516<td>
517 <p>
518 interval_sets
519 </p>
520 </td>
521<td>
522 <p>
523 <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_set</a></code>
524 </p>
525 </td>
526<td>
527 <p>
528 <span class="emphasis"><em>O(log n)</em></span>
529 </p>
530 </td>
531<td>
532 <p>
533 <span class="emphasis"><em>O(log n)</em></span>
534 </p>
535 </td>
536<td>
537 <p>
538 </p>
539 </td>
540<td>
541 <p>
542 </p>
543 </td>
544<td>
545 <p>
546 <span class="emphasis"><em>O(m log n)</em></span>
547 </p>
548 </td>
549<td>
550 <p>
551 </p>
552 </td>
553</tr>
554<tr>
555<td>
556 <p>
557 </p>
558 </td>
559<td>
560 <p>
561 <code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code><br>
562 <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_set</a></code>
563 </p>
564 </td>
565<td>
566 <p>
567 <span class="emphasis"><em>O(log n)</em></span>
568 </p>
569 </td>
570<td>
571 <p>
572 <span class="emphasis"><em>O(n)</em></span>
573 </p>
574 </td>
575<td>
576 <p>
577 </p>
578 </td>
579<td>
580 <p>
581 </p>
582 </td>
583<td>
584 <p>
585 <span class="emphasis"><em>O(m log n)</em></span>
586 </p>
587 </td>
588<td>
589 <p>
590 </p>
591 </td>
592</tr>
593<tr>
594<td>
595 <p>
596 interval_maps
597 </p>
598 </td>
599<td>
600 <p>
601 <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_map</a></code>
602 </p>
603 </td>
604<td>
605 <p>
606 <span class="emphasis"><em>O(log n)</em></span>
607 </p>
608 </td>
609<td>
610 <p>
611 <span class="emphasis"><em>O(log n)</em></span>
612 </p>
613 </td>
614<td>
615 <p>
616 <span class="emphasis"><em>O(log n)</em></span>
617 </p>
618 </td>
619<td>
620 <p>
621 <span class="emphasis"><em>O(log n)</em></span>
622 </p>
623 </td>
624<td>
625 <p>
626 <span class="emphasis"><em>O(m log n)</em></span>
627 </p>
628 </td>
629<td>
630 <p>
631 <span class="emphasis"><em>O(m log n)</em></span>
632 </p>
633 </td>
634</tr>
635<tr>
636<td>
637 <p>
638 </p>
639 </td>
640<td>
641 <p>
642 <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_map.html" title="Class template split_interval_map">split_interval_map</a></code>
643 </p>
644 </td>
645<td>
646 <p>
647 <span class="emphasis"><em>O(log n)</em></span>
648 </p>
649 </td>
650<td>
651 <p>
652 <span class="emphasis"><em>O(n)</em></span>
653 </p>
654 </td>
655<td>
656 <p>
657 <span class="emphasis"><em>O(log n)</em></span>
658 </p>
659 </td>
660<td>
661 <p>
662 <span class="emphasis"><em>O(n)</em></span>
663 </p>
664 </td>
665<td>
666 <p>
667 <span class="emphasis"><em>O(m log n)</em></span>
668 </p>
669 </td>
670<td>
671 <p>
672 <span class="emphasis"><em>O(m log n)</em></span>
673 </p>
674 </td>
675</tr>
676</tbody>
677</table></div>
678</div>
679<br class="table-break"><p>
680 All overloads of containedness of containers in containers
681</p>
682<pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">)</span>
683<span class="keyword">bool</span> <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;</span> <span class="identifier">sub</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">super</span><span class="special">)</span>
684</pre>
685<p>
686 are of <span class="emphasis"><em><span class="bold"><strong>loglinear</strong></span></em></span> time:
687 <span class="emphasis"><em>O(m log n)</em></span>. If both containers have same iterative_sizes
688 so that <span class="emphasis"><em>m = n</em></span> we have the worst case ( <span class="emphasis"><em>O(n
689 log n)</em></span> ). There is an alternative implementation that has a <span class="emphasis"><em><span class="bold"><strong>linear</strong></span></em></span> complexity of <span class="emphasis"><em>O(n+m)</em></span>.
690 The loglinear implementation has been chosen, because it can be faster, if
691 the container argument is small. In this case the loglinear implementation
692 approaches logarithmic behavior, whereas the linear implementation stays
693 linear.
694 </p>
695<p>
696 <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
697 </p>
698<div class="informaltable"><table class="table">
699<colgroup><col></colgroup>
700<thead><tr></tr></thead>
701<tbody>
702<tr><td>
703 <p>
704 <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function
705 Synopsis</strong></span></em></span></a>
706 </p>
707 </td></tr>
708<tr><td>
709 <p>
710 <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a>
711 </p>
712 </td></tr>
713</tbody>
714</table></div>
715</div>
716<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
717<td align="left"></td>
718<td align="right"><div class="copyright-footer">Copyright &#169; 2007 -2010 Joachim Faulhaber<br>Copyright &#169; 1999 -2006 Cortex Software GmbH<p>
719 Distributed under the Boost Software License, Version 1.0. (See accompanying
720 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>)
721 </p>
722</div></td>
723</tr></table>
724<hr>
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