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24</div>
25<div class="section boost_icl_function_reference_additional_interval_orderings" lang="en">
26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_icl.function_reference.additional_interval_orderings"></a><a class="link" href="additional_interval_orderings.html" title="Additional Interval Orderings">Additional
28 Interval Orderings</a>
29</h3></div></div></div>
30<p>
31 In addition to the standard orderings <code class="computeroutput"><span class="keyword">operator</span>
32 <span class="special">&lt;</span></code> and rleated <code class="computeroutput"><span class="special">&gt;</span>
33 <span class="special">&lt;=</span> <span class="special">&gt;=</span></code>
34 that you will find in the <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>librarie's function synopsis</strong></span></em></span></a>, intervals
35 implement some additional orderings that can be useful.
36 </p>
37<div class="informaltable"><table class="table">
38<colgroup>
39<col>
40<col>
41<col>
42<col>
43<col>
44<col>
45<col>
46</colgroup>
47<thead><tr>
48<th>
49 <p>
50 T
51 </p>
52 </th>
53<th>
54 <p>
55 discrete<br> _interval
56 </p>
57 </th>
58<th>
59 <p>
60 continuous<br> _interval
61 </p>
62 </th>
63<th>
64 <p>
65 right_open<br> _interval
66 </p>
67 </th>
68<th>
69 <p>
70 left_open<br> _interval
71 </p>
72 </th>
73<th>
74 <p>
75 closed<br> _interval
76 </p>
77 </th>
78<th>
79 <p>
80 open<br> _interval
81 </p>
82 </th>
83</tr></thead>
84<tbody>
85<tr>
86<td>
87 <p>
88 Interval bounds
89 </p>
90 </td>
91<td>
92 <p>
93 dynamic
94 </p>
95 </td>
96<td>
97 <p>
98 dynamic
99 </p>
100 </td>
101<td>
102 <p>
103 static
104 </p>
105 </td>
106<td>
107 <p>
108 static
109 </p>
110 </td>
111<td>
112 <p>
113 static
114 </p>
115 </td>
116<td>
117 <p>
118 static
119 </p>
120 </td>
121</tr>
122<tr>
123<td>
124 <p>
125 Form
126 </p>
127 </td>
128<td>
129 <p>
130 </p>
131 </td>
132<td>
133 <p>
134 </p>
135 </td>
136<td>
137 <p>
138 asymmetric
139 </p>
140 </td>
141<td>
142 <p>
143 asymmetric
144 </p>
145 </td>
146<td>
147 <p>
148 symmetric
149 </p>
150 </td>
151<td>
152 <p>
153 symmetric
154 </p>
155 </td>
156</tr>
157<tr>
158<td>
159 <p>
160 <span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span>
161 </p>
162 </td>
163<td>
164 <p>
165 </p>
166 </td>
167<td>
168 <p>
169 </p>
170 </td>
171<td>
172 <p>
173 </p>
174 </td>
175<td>
176 <p>
177 </p>
178 </td>
179<td>
180 <p>
181 </p>
182 </td>
183<td>
184 <p>
185 </p>
186 </td>
187</tr>
188<tr>
189<td>
190 <p>
191 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">exclusive_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
192 <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
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<td>
206 <p>
207 1
208 </p>
209 </td>
210<td>
211 <p>
212 1
213 </p>
214 </td>
215<td>
216 <p>
217 1
218 </p>
219 </td>
220<td>
221 <p>
222 1
223 </p>
224 </td>
225</tr>
226<tr>
227<td>
228 <p>
229
230</p>
231<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">lower_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">T</span><span class="special">&amp;)</span>
232<span class="keyword">bool</span> <span class="identifier">lower_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">T</span><span class="special">&amp;)</span>
233<span class="keyword">bool</span> <span class="identifier">lower_less_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">T</span><span class="special">&amp;)</span>
234</pre>
235<p>
236 </p>
237 </td>
238<td>
239 <p>
240 1
241 </p>
242 </td>
243<td>
244 <p>
245 1
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</tr>
269<tr>
270<td>
271 <p>
272
273</p>
274<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">upper_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">T</span><span class="special">&amp;)</span>
275<span class="keyword">bool</span> <span class="identifier">upper_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">T</span><span class="special">&amp;)</span>
276<span class="keyword">bool</span> <span class="identifier">upper_less_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">T</span><span class="special">&amp;)</span>
277</pre>
278<p>
279 </p>
280 </td>
281<td>
282 <p>
283 1
284 </p>
285 </td>
286<td>
287 <p>
288 1
289 </p>
290 </td>
291<td>
292 <p>
293 1
294 </p>
295 </td>
296<td>
297 <p>
298 1
299 </p>
300 </td>
301<td>
302 <p>
303 1
304 </p>
305 </td>
306<td>
307 <p>
308 1
309 </p>
310 </td>
311</tr>
312</tbody>
313</table></div>
314<p>
315 A central role for the <span class="bold"><strong>icl</strong></span> plays the <code class="computeroutput"><span class="identifier">exclusive_less</span></code> ordering, which is used
316 in all interval containers. The other orderings can be useful to simplify
317 comparison of intervals specifically for dynamically bounded ones.
318 </p>
319<div class="informaltable"><table class="table">
320<colgroup>
321<col>
322<col>
323</colgroup>
324<thead><tr>
325<th>
326 <p>
327 <span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span>
328 </p>
329 </th>
330<th>
331 <p>
332 Description
333 </p>
334 </th>
335</tr></thead>
336<tbody>
337<tr>
338<td>
339 <p>
340 <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">exclusive_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
341 <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
342 </p>
343 </td>
344<td>
345 <p>
346 <code class="computeroutput"><span class="identifier">exclusive_less</span><span class="special">(</span><span class="identifier">x1</span><span class="special">,</span> <span class="identifier">x2</span><span class="special">)</span></code>
347 is true if every element of interval <code class="computeroutput"><span class="identifier">x1</span></code>
348 is less than every element of interval <code class="computeroutput"><span class="identifier">x2</span></code>
349 w.r.t. the the intervals <code class="computeroutput"><span class="identifier">Compare</span></code>
350 ordering
351 </p>
352 </td>
353</tr>
354<tr>
355<td>
356 <p>
357
358</p>
359<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">lower_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">T</span><span class="special">&amp;)</span>
360<span class="keyword">bool</span> <span class="identifier">lower_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">T</span><span class="special">&amp;)</span>
361<span class="keyword">bool</span> <span class="identifier">lower_less_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">T</span><span class="special">&amp;)</span>
362</pre>
363<p>
364 </p>
365 </td>
366<td>
367 <p>
368 Compares the beginnings of intervals.
369</p>
370<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">lower_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x begins before y
371</span><span class="identifier">lower_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x and y begin at the same element
372</span><span class="identifier">lower_less_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">lower_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">||</span> <span class="identifier">lower_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">);</span>
373</pre>
374<p>
375 </p>
376 </td>
377</tr>
378<tr>
379<td>
380 <p>
381
382</p>
383<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">upper_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">T</span><span class="special">&amp;)</span>
384<span class="keyword">bool</span> <span class="identifier">upper_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">T</span><span class="special">&amp;)</span>
385<span class="keyword">bool</span> <span class="identifier">upper_less_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">T</span><span class="special">&amp;)</span>
386</pre>
387<p>
388 </p>
389 </td>
390<td>
391 <p>
392 Compares the endings of intervals.
393</p>
394<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">upper_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x ends before y
395</span><span class="identifier">upper_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">true</span><span class="special">;</span> <span class="comment">// x and y end at the same element
396</span><span class="identifier">upper_less_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">upper_less</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> <span class="special">||</span> <span class="identifier">upper_equal</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">);</span>
397</pre>
398<p>
399 </p>
400 </td>
401</tr>
402</tbody>
403</table></div>
404<p>
405 <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span>
406 </p>
407<div class="informaltable"><table class="table">
408<colgroup><col></colgroup>
409<thead><tr></tr></thead>
410<tbody><tr><td>
411 <p>
412 <a class="link" href="equivalences_and_orderings.html" title="Equivalences and Orderings"><span class="emphasis"><em><span class="bold"><strong>Equivalences and Orderings</strong></span></em></span></a>
413 </p>
414 </td></tr></tbody>
415</table></div>
416<p>
417 <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
418 </p>
419<div class="informaltable"><table class="table">
420<colgroup><col></colgroup>
421<thead><tr></tr></thead>
422<tbody>
423<tr><td>
424 <p>
425 <a class="link" href="../interface/function_synopsis.html#additional_interval_functions"><span class="emphasis"><em><span class="bold"><strong>Additional interval functions</strong></span></em></span></a>
426 </p>
427 </td></tr>
428<tr><td>
429 <p>
430 <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function
431 Synopsis</strong></span></em></span></a>
432 </p>
433 </td></tr>
434<tr><td>
435 <p>
436 <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a>
437 </p>
438 </td></tr>
439</tbody>
440</table></div>
441</div>
442<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
443<td align="left"></td>
444<td align="right"><div class="copyright-footer">Copyright &#169; 2007 -2010 Joachim Faulhaber<br>Copyright &#169; 1999 -2006 Cortex Software GmbH<p>
445 Distributed under the Boost Software License, Version 1.0. (See accompanying
446 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>)
447 </p>
448</div></td>
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