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24</div>
25<div class="section">
26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_icl.function_reference.equivalences_and_orderings"></a><a class="link" href="equivalences_and_orderings.html" title="Equivalences and Orderings">Equivalences
28      and Orderings</a>
29</h3></div></div></div>
30<div class="toc"><dl class="toc">
31<dt><span class="section"><a href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.synopsis">Synopsis</a></span></dt>
32<dt><span class="section"><a href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.less_on_intervals">Less
33        on Intervals</a></span></dt>
34<dt><span class="section"><a href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.lexicographical_ordering">Lexicographical
35        Ordering</a></span></dt>
36<dt><span class="section"><a href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.sequential_element_ordering">Sequential
37        Element Ordering</a></span></dt>
38<dt><span class="section"><a href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.distinct_equality">Distinct
39        Equality</a></span></dt>
40</dl></div>
41<div class="section">
42<div class="titlepage"><div><div><h4 class="title">
43<a name="boost_icl.function_reference.equivalences_and_orderings.synopsis"></a><a class="link" href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.synopsis" title="Synopsis">Synopsis</a>
44</h4></div></div></div>
45<div class="informaltable"><table class="table">
46<colgroup>
47<col>
48<col>
49<col>
50<col>
51<col>
52<col>
53</colgroup>
54<thead><tr>
55<th>
56                  <p>
57                    <span class="emphasis"><em><span class="bold"><strong>Equivalences and Orderings</strong></span></em></span>
58                  </p>
59                </th>
60<th>
61                  <p>
62                    intervals
63                  </p>
64                </th>
65<th>
66                  <p>
67                    interval<br> sets
68                  </p>
69                </th>
70<th>
71                  <p>
72                    interval<br> maps
73                  </p>
74                </th>
75<th>
76                  <p>
77                    element<br> sets
78                  </p>
79                </th>
80<th>
81                  <p>
82                    element<br> maps
83                  </p>
84                </th>
85</tr></thead>
86<tbody>
87<tr>
88<td>
89                  <p>
90                    <span class="emphasis"><em>Segment Ordering</em></span>
91                  </p>
92                </td>
93<td>
94                </td>
95<td>
96                </td>
97<td>
98                </td>
99<td>
100                </td>
101<td>
102                </td>
103</tr>
104<tr>
105<td>
106                  <p>
107                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
108                    <span class="special">==</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
109                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
110                  </p>
111                </td>
112<td>
113                  <p>
114                    1
115                  </p>
116                </td>
117<td>
118                  <p>
119                    1
120                  </p>
121                </td>
122<td>
123                  <p>
124                    1
125                  </p>
126                </td>
127<td>
128                  <p>
129                    1
130                  </p>
131                </td>
132<td>
133                  <p>
134                    1
135                  </p>
136                </td>
137</tr>
138<tr>
139<td>
140                  <p>
141                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
142                    <span class="special">!=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
143                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
144                  </p>
145                </td>
146<td>
147                  <p>
148                    1
149                  </p>
150                </td>
151<td>
152                  <p>
153                    1
154                  </p>
155                </td>
156<td>
157                  <p>
158                    1
159                  </p>
160                </td>
161<td>
162                  <p>
163                    1
164                  </p>
165                </td>
166<td>
167                  <p>
168                    1
169                  </p>
170                </td>
171</tr>
172<tr>
173<td>
174                  <p>
175                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
176                    <span class="special">&lt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
177                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
178                  </p>
179                </td>
180<td>
181                  <p>
182                    1
183                  </p>
184                </td>
185<td>
186                  <p>
187                    1
188                  </p>
189                </td>
190<td>
191                  <p>
192                    1
193                  </p>
194                </td>
195<td>
196                  <p>
197                    1
198                  </p>
199                </td>
200<td>
201                  <p>
202                    1
203                  </p>
204                </td>
205</tr>
206<tr>
207<td>
208                  <p>
209                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
210                    <span class="special">&gt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
211                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
212                  </p>
213                </td>
214<td>
215                  <p>
216                    1
217                  </p>
218                </td>
219<td>
220                  <p>
221                    1
222                  </p>
223                </td>
224<td>
225                  <p>
226                    1
227                  </p>
228                </td>
229<td>
230                  <p>
231                    1
232                  </p>
233                </td>
234<td>
235                  <p>
236                    1
237                  </p>
238                </td>
239</tr>
240<tr>
241<td>
242                  <p>
243                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
244                    <span class="special">&lt;=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
245                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
246                  </p>
247                </td>
248<td>
249                  <p>
250                    1
251                  </p>
252                </td>
253<td>
254                  <p>
255                    1
256                  </p>
257                </td>
258<td>
259                  <p>
260                    1
261                  </p>
262                </td>
263<td>
264                  <p>
265                    1
266                  </p>
267                </td>
268<td>
269                  <p>
270                    1
271                  </p>
272                </td>
273</tr>
274<tr>
275<td>
276                  <p>
277                    <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
278                    <span class="special">&gt;=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
279                    <span class="identifier">T</span><span class="special">&amp;)</span></code>
280                  </p>
281                </td>
282<td>
283                  <p>
284                    1
285                  </p>
286                </td>
287<td>
288                  <p>
289                    1
290                  </p>
291                </td>
292<td>
293                  <p>
294                    1
295                  </p>
296                </td>
297<td>
298                  <p>
299                    1
300                  </p>
301                </td>
302<td>
303                  <p>
304                    1
305                  </p>
306                </td>
307</tr>
308<tr>
309<td>
310                  <p>
311                    <span class="emphasis"><em>Element Ordering</em></span>
312                  </p>
313                </td>
314<td>
315                </td>
316<td>
317                </td>
318<td>
319                </td>
320<td>
321                </td>
322<td>
323                </td>
324</tr>
325<tr>
326<td>
327                  <p>
328                    <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_equal</span><span class="special">(</span><span class="keyword">const</span>
329                    <span class="identifier">T</span><span class="special">&amp;,</span>
330                    <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
331                  </p>
332                </td>
333<td>
334                </td>
335<td>
336                  <p>
337                    <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
338                  </p>
339                </td>
340<td>
341                  <p>
342                    <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
343                  </p>
344                </td>
345<td>
346                  <p>
347                    1
348                  </p>
349                </td>
350<td>
351                  <p>
352                    1
353                  </p>
354                </td>
355</tr>
356<tr>
357<td>
358                  <p>
359                    <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_less</span><span class="special">(</span><span class="keyword">const</span>
360                    <span class="identifier">T</span><span class="special">&amp;,</span>
361                    <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
362                  </p>
363                </td>
364<td>
365                </td>
366<td>
367                  <p>
368                    <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
369                  </p>
370                </td>
371<td>
372                  <p>
373                    <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
374                  </p>
375                </td>
376<td>
377                  <p>
378                    1
379                  </p>
380                </td>
381<td>
382                  <p>
383                    1
384                  </p>
385                </td>
386</tr>
387<tr>
388<td>
389                  <p>
390                    <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_greater</span><span class="special">(</span><span class="keyword">const</span>
391                    <span class="identifier">T</span><span class="special">&amp;,</span>
392                    <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
393                  </p>
394                </td>
395<td>
396                </td>
397<td>
398                  <p>
399                    <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
400                  </p>
401                </td>
402<td>
403                  <p>
404                    <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
405                  </p>
406                </td>
407<td>
408                  <p>
409                    1
410                  </p>
411                </td>
412<td>
413                  <p>
414                    1
415                  </p>
416                </td>
417</tr>
418<tr>
419<td>
420                  <p>
421                    <span class="emphasis"><em>Distinct Equality</em></span>
422                  </p>
423                </td>
424<td>
425                </td>
426<td>
427                </td>
428<td>
429                </td>
430<td>
431                </td>
432<td>
433                </td>
434</tr>
435<tr>
436<td>
437                  <p>
438                    <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_distinct_equal</span><span class="special">(</span><span class="keyword">const</span>
439                    <span class="identifier">T</span><span class="special">&amp;,</span>
440                    <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
441                  </p>
442                </td>
443<td>
444                </td>
445<td>
446                </td>
447<td>
448                  <p>
449                    <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
450                  </p>
451                </td>
452<td>
453                </td>
454<td>
455                  <p>
456                    1
457                  </p>
458                </td>
459</tr>
460</tbody>
461</table></div>
462</div>
463<div class="section">
464<div class="titlepage"><div><div><h4 class="title">
465<a name="boost_icl.function_reference.equivalences_and_orderings.less_on_intervals"></a><a class="link" href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.less_on_intervals" title="Less on Intervals">Less
466        on Intervals</a>
467</h4></div></div></div>
468<div class="informaltable"><table class="table">
469<colgroup>
470<col>
471<col>
472<col>
473</colgroup>
474<thead><tr>
475<th>
476                </th>
477<th>
478                  <p>
479                    Types
480                  </p>
481                </th>
482<th>
483                </th>
484</tr></thead>
485<tbody><tr>
486<td>
487                  <p>
488                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">&lt;</span>
489                    <span class="identifier">y</span></code>
490                  </p>
491                </td>
492<td>
493                  <p>
494                    <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
495                  </p>
496                </td>
497<td>
498                  <p>
499                    <code class="computeroutput"><span class="identifier">x</span></code> begins before
500                    <code class="computeroutput"><span class="identifier">y</span></code> or, for equal
501                    beginnings <code class="computeroutput"><span class="identifier">x</span></code>
502                    ends before <code class="computeroutput"><span class="identifier">y</span></code>
503                  </p>
504                </td>
505</tr></tbody>
506</table></div>
507</div>
508<div class="section">
509<div class="titlepage"><div><div><h4 class="title">
510<a name="boost_icl.function_reference.equivalences_and_orderings.lexicographical_ordering"></a><a class="link" href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.lexicographical_ordering" title="Lexicographical Ordering">Lexicographical
511        Ordering</a>
512</h4></div></div></div>
513<p>
514          All common equality and compare operators are defined for all objects of
515          the <span class="bold"><strong>icl</strong></span>. For all <span class="bold"><strong>icl</strong></span>
516          containers equality and compare operators implement lexicographical equality
517          and lexicographical comparison, that depends on the equality of template
518          parameter <code class="computeroutput"><span class="identifier">Compare</span></code>. This
519          includes the less ordering on intervals, that can be perceived as the sequence
520          of elements between their lower and upper bound. This generalized lexicogrphical
521          comparison in intervals can also be specified this way:
522        </p>
523<div class="informaltable"><table class="table">
524<colgroup>
525<col>
526<col>
527<col>
528</colgroup>
529<thead><tr></tr></thead>
530<tbody>
531<tr>
532<td>
533                  <p>
534                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">&lt;</span>
535                    <span class="identifier">y</span></code>
536                  </p>
537                </td>
538<td>
539                  <p>
540                    <code class="computeroutput"><span class="special">:=</span></code>
541                  </p>
542                </td>
543<td>
544                  <p>
545                    <code class="computeroutput"><span class="identifier">x</span></code> begins before
546                    <code class="computeroutput"><span class="identifier">y</span></code> or, for equal
547                    beginnings <code class="computeroutput"><span class="identifier">x</span></code>
548                    ends before <code class="computeroutput"><span class="identifier">y</span></code>.
549                  </p>
550                </td>
551</tr>
552<tr>
553<td>
554                </td>
555<td>
556                </td>
557<td>
558                  <p>
559                    The other operators can be deduced in the usual way
560                  </p>
561                </td>
562</tr>
563<tr>
564<td>
565                  <p>
566                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">&gt;</span>
567                    <span class="identifier">y</span></code>
568                  </p>
569                </td>
570<td>
571                  <p>
572                    <code class="computeroutput"><span class="special">:=</span></code>
573                  </p>
574                </td>
575<td>
576                  <p>
577                    <code class="computeroutput"><span class="identifier">y</span> <span class="special">&lt;</span>
578                    <span class="identifier">x</span></code>
579                  </p>
580                </td>
581</tr>
582<tr>
583<td>
584                  <p>
585                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">&lt;=</span>
586                    <span class="identifier">y</span></code>
587                  </p>
588                </td>
589<td>
590                  <p>
591                    <code class="computeroutput"><span class="special">:=</span></code>
592                  </p>
593                </td>
594<td>
595                  <p>
596                    <code class="computeroutput"><span class="special">!(</span><span class="identifier">y</span>
597                    <span class="special">&lt;</span> <span class="identifier">x</span><span class="special">)</span></code>
598                  </p>
599                </td>
600</tr>
601<tr>
602<td>
603                  <p>
604                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">&gt;=</span>
605                    <span class="identifier">y</span></code>
606                  </p>
607                </td>
608<td>
609                  <p>
610                    <code class="computeroutput"><span class="special">:=</span></code>
611                  </p>
612                </td>
613<td>
614                  <p>
615                    <code class="computeroutput"><span class="special">!(</span><span class="identifier">x</span>
616                    <span class="special">&lt;</span> <span class="identifier">y</span><span class="special">)</span></code>
617                  </p>
618                </td>
619</tr>
620<tr>
621<td>
622                  <p>
623                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">==</span>
624                    <span class="identifier">y</span></code>
625                  </p>
626                </td>
627<td>
628                  <p>
629                    <code class="computeroutput"><span class="special">:=</span></code>
630                  </p>
631                </td>
632<td>
633                  <p>
634                    <code class="computeroutput"><span class="special">!(</span><span class="identifier">x</span>
635                    <span class="special">&lt;</span> <span class="identifier">y</span><span class="special">)</span> <span class="special">&amp;&amp;</span>
636                    <span class="special">!(</span><span class="identifier">y</span>
637                    <span class="special">&lt;</span> <span class="identifier">x</span><span class="special">)</span></code> induced equivalence
638                  </p>
639                </td>
640</tr>
641<tr>
642<td>
643                  <p>
644                    <code class="computeroutput"><span class="identifier">x</span> <span class="special">!=</span>
645                    <span class="identifier">y</span></code>
646                  </p>
647                </td>
648<td>
649                  <p>
650                    <code class="computeroutput"><span class="special">:=</span></code>
651                  </p>
652                </td>
653<td>
654                  <p>
655                    <code class="computeroutput"><span class="special">!(</span><span class="identifier">x</span>
656                    <span class="special">==</span> <span class="identifier">y</span><span class="special">)</span></code>
657                  </p>
658                </td>
659</tr>
660</tbody>
661</table></div>
662<p>
663          Equality and compare operators are defined for all <span class="bold"><strong>icl</strong></span>
664          objects but there are no overloads between different types.
665        </p>
666<p>
667          Containers of different segmentation are different, even if their elements
668          are the same:
669</p>
670<pre class="programlisting"><span class="identifier">split_interval_set</span><span class="special">&lt;</span><span class="identifier">time</span><span class="special">&gt;</span> <span class="identifier">w1</span><span class="special">,</span> <span class="identifier">w2</span><span class="special">;</span> <span class="comment">//Pseudocode</span>
671<span class="identifier">w1</span> <span class="special">=</span> <span class="special">{[</span><span class="identifier">Mon</span>       <span class="special">..</span>       <span class="identifier">Sun</span><span class="special">)};</span> <span class="comment">//split_interval_set containing a week</span>
672<span class="identifier">w2</span> <span class="special">=</span> <span class="special">{[</span><span class="identifier">Mon</span> <span class="special">..</span> <span class="identifier">Fri</span><span class="special">)[</span><span class="identifier">Sat</span> <span class="special">..</span> <span class="identifier">Sun</span><span class="special">)};</span> <span class="comment">//Same week split in work and week end parts.</span>
673<span class="identifier">w1</span> <span class="special">==</span> <span class="identifier">w2</span><span class="special">;</span>                        <span class="comment">//false: Different segmentation</span>
674<span class="identifier">is_element_equal</span><span class="special">(</span><span class="identifier">w1</span><span class="special">,</span><span class="identifier">w2</span><span class="special">);</span>         <span class="comment">//true:  Same elements contained  </span>
675</pre>
676<p>
677        </p>
678<p>
679          <span class="bold"><strong>Complexity</strong></span> is <span class="emphasis"><em><span class="bold"><strong>linear</strong></span></em></span>
680          in the <code class="computeroutput"><span class="identifier">iterative_size</span></code> of
681          the shorter container to compare.
682        </p>
683</div>
684<div class="section">
685<div class="titlepage"><div><div><h4 class="title">
686<a name="boost_icl.function_reference.equivalences_and_orderings.sequential_element_ordering"></a><a class="link" href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.sequential_element_ordering" title="Sequential Element Ordering">Sequential
687        Element Ordering</a>
688</h4></div></div></div>
689<p>
690          The <span class="emphasis"><em><span class="bold"><strong>Sequential Element Ordering</strong></span></em></span>
691          abstracts from the way in which elements of interval containers are clustered
692          into intervals: it's <span class="emphasis"><em><span class="bold"><strong>segmentation</strong></span></em></span>.
693        </p>
694<p>
695          So these equality and compare operations can be applied within interval
696          container types. The admissible type combinations are summarized in the
697          next overload table.
698        </p>
699<p>
700</p>
701<pre class="programlisting"><span class="comment">// overload tables for</span>
702<span class="keyword">bool</span> <span class="identifier">is_element_equal</span>  <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span>
703<span class="keyword">bool</span> <span class="identifier">is_element_less</span>   <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span>
704<span class="keyword">bool</span> <span class="identifier">is_element_greater</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span>
705
706<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>
707<span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</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">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span>
708<span class="special">---+----</span>                <span class="special">---+---------------</span>
709<span class="identifier">s</span>  <span class="special">|</span> <span class="number">1</span>                  <span class="identifier">S1</span> <span class="special">|</span> <span class="number">1</span>  <span class="number">1</span>  <span class="number">1</span>
710<span class="identifier">m</span>  <span class="special">|</span>   <span class="number">1</span>                <span class="identifier">S2</span> <span class="special">|</span> <span class="number">1</span>  <span class="number">1</span>  <span class="number">1</span>
711                        <span class="identifier">S3</span> <span class="special">|</span> <span class="number">1</span>  <span class="number">1</span>  <span class="number">1</span>
712                        <span class="identifier">M1</span> <span class="special">|</span>          <span class="number">1</span>  <span class="number">1</span>
713                        <span class="identifier">M3</span> <span class="special">|</span>          <span class="number">1</span>  <span class="number">1</span>
714</pre>
715<p>
716        </p>
717<p>
718          For element containers lexicographical equality and sequential element
719          equality are identical.
720        </p>
721<p>
722          The <span class="bold"><strong>complexity</strong></span> of sequential element comparison
723          functions is <span class="emphasis"><em><span class="bold"><strong>linear</strong></span></em></span>
724          in the <code class="computeroutput"><span class="identifier">iterative_size</span></code> of
725          the larger container.
726        </p>
727</div>
728<div class="section">
729<div class="titlepage"><div><div><h4 class="title">
730<a name="boost_icl.function_reference.equivalences_and_orderings.distinct_equality"></a><a class="link" href="equivalences_and_orderings.html#boost_icl.function_reference.equivalences_and_orderings.distinct_equality" title="Distinct Equality">Distinct
731        Equality</a>
732</h4></div></div></div>
733<p>
734          <span class="emphasis"><em><span class="bold"><strong>Distinct Equality</strong></span></em></span>
735          is an equality predicate that is available for <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::maps</a></code>
736          and <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code>.
737          It yields true, if two maps are sequential element equal except for value
738          pairs whose associated values are identity elements.
739        </p>
740<p>
741          <span class="bold"><strong>Complexity</strong></span> is linear in the <code class="computeroutput"><span class="identifier">iterative_size</span></code> of the larger container
742          to compare.
743        </p>
744</div>
745<p>
746        <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span>
747      </p>
748<div class="informaltable"><table class="table">
749<colgroup><col></colgroup>
750<thead><tr></tr></thead>
751<tbody><tr><td>
752                <p>
753                  <a class="link" href="../semantics.html#boost_icl.semantics.orderings_and_equivalences" title="Orderings and Equivalences"><span class="emphasis"><em><span class="bold"><strong>Semantics</strong></span></em></span></a>
754                </p>
755              </td></tr></tbody>
756</table></div>
757<p>
758        <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
759      </p>
760<div class="informaltable"><table class="table">
761<colgroup><col></colgroup>
762<thead><tr></tr></thead>
763<tbody>
764<tr><td>
765                <p>
766                  <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function
767                  Synopsis</strong></span></em></span></a>
768                </p>
769              </td></tr>
770<tr><td>
771                <p>
772                  <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a>
773                </p>
774              </td></tr>
775</tbody>
776</table></div>
777</div>
778<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
779<td align="left"></td>
780<td align="right"><div class="copyright-footer">Copyright © 2007-2010 Joachim
781      Faulhaber<br>Copyright © 1999-2006 Cortex Software
782      GmbH<p>
783        Distributed under the Boost Software License, Version 1.0. (See accompanying
784        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>)
785      </p>
786</div></td>
787</tr></table>
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