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4 | <title>Addition</title> | |
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24 | </div> | |
25 | <div class="section boost_icl_function_reference_addition" lang="en"> | |
26 | <div class="titlepage"><div><div><h3 class="title"> | |
27 | <a name="boost_icl.function_reference.addition"></a><a class="link" href="addition.html" title="Addition">Addition</a> | |
28 | </h3></div></div></div> | |
29 | <div class="toc"><dl> | |
30 | <dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.synopsis">Synopsis</a></span></dt> | |
31 | <dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.functions">Functions</a></span></dt> | |
32 | <dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.inplace_operators">Inplace | |
33 | operators</a></span></dt> | |
34 | <dt><span class="section"><a href="addition.html#boost_icl.function_reference.addition.infix_operators">Infix | |
35 | operators</a></span></dt> | |
36 | </dl></div> | |
37 | <div class="section boost_icl_function_reference_addition_synopsis" lang="en"> | |
38 | <div class="titlepage"><div><div><h4 class="title"> | |
39 | <a name="boost_icl.function_reference.addition.synopsis"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.synopsis" title="Synopsis">Synopsis</a> | |
40 | </h4></div></div></div> | |
41 | <div class="informaltable"><table class="table"> | |
42 | <colgroup> | |
43 | <col> | |
44 | <col> | |
45 | <col> | |
46 | <col> | |
47 | <col> | |
48 | </colgroup> | |
49 | <thead><tr> | |
50 | <th> | |
51 | <p> | |
52 | Addition | |
53 | </p> | |
54 | </th> | |
55 | <th> | |
56 | <p> | |
57 | interval<br> sets | |
58 | </p> | |
59 | </th> | |
60 | <th> | |
61 | <p> | |
62 | interval<br> maps | |
63 | </p> | |
64 | </th> | |
65 | <th> | |
66 | <p> | |
67 | element<br> sets | |
68 | </p> | |
69 | </th> | |
70 | <th> | |
71 | <p> | |
72 | element<br> maps | |
73 | </p> | |
74 | </th> | |
75 | </tr></thead> | |
76 | <tbody> | |
77 | <tr> | |
78 | <td> | |
79 | <p> | |
80 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
81 | <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
82 | </p> | |
83 | </td> | |
84 | <td> | |
85 | <p> | |
86 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
87 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
88 | </p> | |
89 | </td> | |
90 | <td> | |
91 | <p> | |
92 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
93 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
94 | </p> | |
95 | </td> | |
96 | <td> | |
97 | <p> | |
98 | </p> | |
99 | </td> | |
100 | <td> | |
101 | <p> | |
102 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
103 | </p> | |
104 | </td> | |
105 | </tr> | |
106 | <tr> | |
107 | <td> | |
108 | <p> | |
109 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
110 | <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> | |
111 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
112 | </p> | |
113 | </td> | |
114 | <td> | |
115 | <p> | |
116 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
117 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
118 | </p> | |
119 | </td> | |
120 | <td> | |
121 | <p> | |
122 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
123 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
124 | </p> | |
125 | </td> | |
126 | <td> | |
127 | <p> | |
128 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
129 | </p> | |
130 | </td> | |
131 | <td> | |
132 | <p> | |
133 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
134 | </p> | |
135 | </td> | |
136 | </tr> | |
137 | <tr> | |
138 | <td> | |
139 | <p> | |
140 | <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> | |
141 | <span class="identifier">pos</span><span class="special">,</span> | |
142 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
143 | </p> | |
144 | </td> | |
145 | <td> | |
146 | <p> | |
147 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
148 | </p> | |
149 | </td> | |
150 | <td> | |
151 | <p> | |
152 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
153 | </p> | |
154 | </td> | |
155 | <td> | |
156 | <p> | |
157 | </p> | |
158 | </td> | |
159 | <td> | |
160 | <p> | |
161 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
162 | </p> | |
163 | </td> | |
164 | </tr> | |
165 | <tr> | |
166 | <td> | |
167 | <p> | |
168 | <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="identifier">J</span> | |
169 | <span class="identifier">pos</span><span class="special">,</span> | |
170 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
171 | </p> | |
172 | </td> | |
173 | <td> | |
174 | <p> | |
175 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
176 | </p> | |
177 | </td> | |
178 | <td> | |
179 | <p> | |
180 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
181 | </p> | |
182 | </td> | |
183 | <td> | |
184 | <p> | |
185 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
186 | </p> | |
187 | </td> | |
188 | <td> | |
189 | <p> | |
190 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
191 | </p> | |
192 | </td> | |
193 | </tr> | |
194 | <tr> | |
195 | <td> | |
196 | <p> | |
197 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
198 | <span class="keyword">operator</span> <span class="special">+=(</span><span class="identifier">T</span><span class="special">&,</span> | |
199 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
200 | </p> | |
201 | </td> | |
202 | <td> | |
203 | <p> | |
204 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
205 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
206 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
207 | </p> | |
208 | </td> | |
209 | <td> | |
210 | <p> | |
211 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
212 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
213 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
214 | </p> | |
215 | </td> | |
216 | <td> | |
217 | <p> | |
218 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
219 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
220 | </p> | |
221 | </td> | |
222 | <td> | |
223 | <p> | |
224 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
225 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
226 | </p> | |
227 | </td> | |
228 | </tr> | |
229 | <tr> | |
230 | <td> | |
231 | <p> | |
232 | <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span> | |
233 | <span class="special">+</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> | |
234 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span> | |
235 | <span class="keyword">operator</span> <span class="special">+</span> | |
236 | <span class="special">(</span><span class="keyword">const</span> | |
237 | <span class="identifier">P</span><span class="special">&,</span> | |
238 | <span class="identifier">T</span><span class="special">)</span></code> | |
239 | </p> | |
240 | </td> | |
241 | <td> | |
242 | <p> | |
243 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
244 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
245 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
246 | </p> | |
247 | </td> | |
248 | <td> | |
249 | <p> | |
250 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
251 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
252 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
253 | </p> | |
254 | </td> | |
255 | <td> | |
256 | <p> | |
257 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
258 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
259 | </p> | |
260 | </td> | |
261 | <td> | |
262 | <p> | |
263 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
264 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
265 | </p> | |
266 | </td> | |
267 | </tr> | |
268 | <tr> | |
269 | <td> | |
270 | <p> | |
271 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
272 | <span class="keyword">operator</span> <span class="special">|=(</span> | |
273 | <span class="identifier">T</span><span class="special">&,</span> | |
274 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
275 | </p> | |
276 | </td> | |
277 | <td> | |
278 | <p> | |
279 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
280 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
281 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
282 | </p> | |
283 | </td> | |
284 | <td> | |
285 | <p> | |
286 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
287 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
288 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
289 | </p> | |
290 | </td> | |
291 | <td> | |
292 | <p> | |
293 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
294 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
295 | </p> | |
296 | </td> | |
297 | <td> | |
298 | <p> | |
299 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
300 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
301 | </p> | |
302 | </td> | |
303 | </tr> | |
304 | <tr> | |
305 | <td> | |
306 | <p> | |
307 | <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span> | |
308 | <span class="special">|</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> | |
309 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span> | |
310 | <span class="keyword">operator</span> <span class="special">|</span> | |
311 | <span class="special">(</span><span class="keyword">const</span> | |
312 | <span class="identifier">P</span><span class="special">&,</span> | |
313 | <span class="identifier">T</span><span class="special">)</span></code> | |
314 | </p> | |
315 | </td> | |
316 | <td> | |
317 | <p> | |
318 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
319 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
320 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
321 | </p> | |
322 | </td> | |
323 | <td> | |
324 | <p> | |
325 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
326 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
327 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
328 | </p> | |
329 | </td> | |
330 | <td> | |
331 | <p> | |
332 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
333 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
334 | </p> | |
335 | </td> | |
336 | <td> | |
337 | <p> | |
338 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
339 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
340 | </p> | |
341 | </td> | |
342 | </tr> | |
343 | </tbody> | |
344 | </table></div> | |
345 | <p> | |
346 | Functions and operators that implement <span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span> | |
347 | on <span class="bold"><strong>icl</strong></span> objects are given in the table | |
348 | above. <code class="computeroutput"><span class="keyword">operator</span> <span class="special">|=</span></code> | |
349 | and <code class="computeroutput"><span class="keyword">operator</span> <span class="special">|</span></code> | |
350 | are behavioral identical to <code class="computeroutput"><span class="keyword">operator</span> | |
351 | <span class="special">+=</span></code> and <code class="computeroutput"><span class="keyword">operator</span> | |
352 | <span class="special">+</span></code>. This is a redundancy that has | |
353 | been introduced deliberately, because a <span class="emphasis"><em>set union</em></span> | |
354 | semantics is often attached <code class="computeroutput"><span class="identifier">operators</span> | |
355 | <span class="special">|=</span></code> and <code class="computeroutput"><span class="special">|</span></code>. | |
356 | </p> | |
357 | <div class="informaltable"><table class="table"> | |
358 | <colgroup> | |
359 | <col> | |
360 | <col> | |
361 | </colgroup> | |
362 | <thead><tr> | |
363 | <th> | |
364 | <p> | |
365 | </p> | |
366 | </th> | |
367 | <th> | |
368 | <p> | |
369 | Description of Addition | |
370 | </p> | |
371 | </th> | |
372 | </tr></thead> | |
373 | <tbody> | |
374 | <tr> | |
375 | <td> | |
376 | <p> | |
377 | <code class="computeroutput"><span class="identifier">Sets</span></code> | |
378 | </p> | |
379 | </td> | |
380 | <td> | |
381 | <p> | |
382 | Addition on Sets implements <span class="emphasis"><em><span class="bold"><strong>set | |
383 | union</strong></span></em></span> | |
384 | </p> | |
385 | </td> | |
386 | </tr> | |
387 | <tr> | |
388 | <td> | |
389 | <p> | |
390 | <code class="computeroutput"><span class="identifier">Maps</span></code> | |
391 | </p> | |
392 | </td> | |
393 | <td> | |
394 | <p> | |
395 | Addition on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map | |
396 | union</strong></span></em></span> function similar to <span class="emphasis"><em>set union</em></span>. | |
397 | If, on insertion of an element value pair <code class="computeroutput"><span class="special">(</span><span class="identifier">k</span><span class="special">,</span><span class="identifier">v</span><span class="special">)</span></code> | |
398 | it's key <code class="computeroutput"><span class="identifier">k</span></code> is in | |
399 | the map already, the addition function is propagated to the associated | |
400 | value. This functionality has been introduced as <span class="emphasis"><em>aggregate | |
401 | on collision</em></span> for element maps and <span class="emphasis"><em>aggregate | |
402 | on overlap</em></span> for interval maps. | |
403 | </p> | |
404 | <p> | |
405 | Find more on <a class="link" href="../concepts/aggrovering.html" title="Addability, Subtractability and Aggregate on Overlap"><span class="emphasis"><em>addability | |
406 | of maps</em></span></a> and related <a class="link" href="../semantics/maps.html" title="Maps"><span class="emphasis"><em>semantic | |
407 | issues</em></span></a> following the links. | |
408 | </p> | |
409 | <p> | |
410 | Examples, demonstrating Addition on interval containers are <a class="link" href="../examples/overlap_counter.html" title="Overlap counter"><span class="emphasis"><em>overlap | |
411 | counter</em></span></a>, <a class="link" href="../examples/party.html" title="Party"><span class="emphasis"><em>party</em></span></a> | |
412 | and <a class="link" href="../examples/partys_height_average.html" title="Party's height average"><span class="emphasis"><em>party's | |
413 | height average.</em></span></a> | |
414 | </p> | |
415 | </td> | |
416 | </tr> | |
417 | </tbody> | |
418 | </table></div> | |
419 | <p> | |
420 | For <code class="computeroutput"><span class="identifier">Sets</span></code> <span class="emphasis"><em><span class="bold"><strong>addition</strong></span></em></span> and <span class="emphasis"><em><span class="bold"><strong>insertion</strong></span></em></span> | |
421 | are implemented identically. Functions <code class="computeroutput"><span class="identifier">add</span></code> | |
422 | and <code class="computeroutput"><span class="identifier">insert</span></code> collapse to | |
423 | the same function. For <code class="computeroutput"><span class="identifier">Maps</span></code> | |
424 | <span class="emphasis"><em><span class="bold"><strong>addition</strong></span></em></span> and <span class="emphasis"><em><span class="bold"><strong>insertion</strong></span></em></span> work differently. Function | |
425 | <code class="computeroutput"><span class="identifier">add</span></code> performs aggregations | |
426 | on collision or overlap, while function <code class="computeroutput"><span class="identifier">insert</span></code> | |
427 | only inserts values that do not yet have key values. | |
428 | </p> | |
429 | </div> | |
430 | <div class="section boost_icl_function_reference_addition_functions" lang="en"> | |
431 | <div class="titlepage"><div><div><h4 class="title"> | |
432 | <a name="boost_icl.function_reference.addition.functions"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.functions" title="Functions">Functions</a> | |
433 | </h4></div></div></div> | |
434 | <p> | |
435 | The admissible combinations of types for member function <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
436 | can be summarized in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span> | |
437 | below: | |
438 | </p> | |
439 | <p> | |
440 | ||
441 | </p> | |
442 | <pre class="programlisting"><span class="comment">// overload table for T\P| e i b p | |
443 | </span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">---+--------</span> | |
444 | <span class="identifier">T</span><span class="special">&</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> | |
445 | <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> | |
446 | <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> | |
447 | <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> | |
448 | </pre> | |
449 | <p> | |
450 | </p> | |
451 | <p> | |
452 | The next table contains complexity characteristics for <code class="computeroutput"><span class="identifier">add</span></code>. | |
453 | </p> | |
454 | <div class="table"> | |
455 | <a name="id1155216"></a><p class="title"><b>Table 1.21. Time Complexity for member function add on icl | |
456 | containers</b></p> | |
457 | <div class="table-contents"><table class="table" summary="Time Complexity for member function add on icl | |
458 | containers"> | |
459 | <colgroup> | |
460 | <col> | |
461 | <col> | |
462 | <col> | |
463 | <col> | |
464 | <col> | |
465 | </colgroup> | |
466 | <thead><tr> | |
467 | <th> | |
468 | <p> | |
469 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
470 | <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> | |
471 | <span class="identifier">P</span><span class="special">&)</span></code> | |
472 | </p> | |
473 | </th> | |
474 | <th> | |
475 | <p> | |
476 | domain<br> type | |
477 | </p> | |
478 | </th> | |
479 | <th> | |
480 | <p> | |
481 | interval<br> type | |
482 | </p> | |
483 | </th> | |
484 | <th> | |
485 | <p> | |
486 | domain<br> mapping<br> type | |
487 | </p> | |
488 | </th> | |
489 | <th> | |
490 | <p> | |
491 | interval<br> mapping<br> type | |
492 | </p> | |
493 | </th> | |
494 | </tr></thead> | |
495 | <tbody> | |
496 | <tr> | |
497 | <td> | |
498 | <p> | |
499 | <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> | |
500 | </p> | |
501 | </td> | |
502 | <td> | |
503 | <p> | |
504 | <span class="emphasis"><em>O(log n)</em></span> | |
505 | </p> | |
506 | </td> | |
507 | <td> | |
508 | <p> | |
509 | </p> | |
510 | </td> | |
511 | <td> | |
512 | <p> | |
513 | </p> | |
514 | </td> | |
515 | <td> | |
516 | <p> | |
517 | </p> | |
518 | </td> | |
519 | </tr> | |
520 | <tr> | |
521 | <td> | |
522 | <p> | |
523 | <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> | |
524 | </p> | |
525 | </td> | |
526 | <td> | |
527 | <p> | |
528 | </p> | |
529 | </td> | |
530 | <td> | |
531 | <p> | |
532 | </p> | |
533 | </td> | |
534 | <td> | |
535 | <p> | |
536 | <span class="emphasis"><em>O(log n)</em></span> | |
537 | </p> | |
538 | </td> | |
539 | <td> | |
540 | <p> | |
541 | </p> | |
542 | </td> | |
543 | </tr> | |
544 | <tr> | |
545 | <td> | |
546 | <p> | |
547 | <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_set</a></code><br> | |
548 | <code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code> | |
549 | </p> | |
550 | </td> | |
551 | <td> | |
552 | <p> | |
553 | <span class="emphasis"><em>O(log n)</em></span> | |
554 | </p> | |
555 | </td> | |
556 | <td> | |
557 | <p> | |
558 | <span class="emphasis"><em>amortized<br> O(log n)</em></span> | |
559 | </p> | |
560 | </td> | |
561 | <td> | |
562 | <p> | |
563 | </p> | |
564 | </td> | |
565 | <td> | |
566 | <p> | |
567 | </p> | |
568 | </td> | |
569 | </tr> | |
570 | <tr> | |
571 | <td> | |
572 | <p> | |
573 | <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_set</a></code> | |
574 | </p> | |
575 | </td> | |
576 | <td> | |
577 | <p> | |
578 | <span class="emphasis"><em>O(log n)</em></span> | |
579 | </p> | |
580 | </td> | |
581 | <td> | |
582 | <p> | |
583 | <span class="emphasis"><em>O(n)</em></span> | |
584 | </p> | |
585 | </td> | |
586 | <td> | |
587 | <p> | |
588 | </p> | |
589 | </td> | |
590 | <td> | |
591 | <p> | |
592 | </p> | |
593 | </td> | |
594 | </tr> | |
595 | <tr> | |
596 | <td> | |
597 | <p> | |
598 | <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_map</a></code><br> | |
599 | <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_map.html" title="Class template split_interval_map">split_interval_map</a></code> | |
600 | </p> | |
601 | </td> | |
602 | <td> | |
603 | <p> | |
604 | </p> | |
605 | </td> | |
606 | <td> | |
607 | <p> | |
608 | </p> | |
609 | </td> | |
610 | <td> | |
611 | <p> | |
612 | <span class="emphasis"><em>O(log n)</em></span> | |
613 | </p> | |
614 | </td> | |
615 | <td> | |
616 | <p> | |
617 | <span class="emphasis"><em>O(n)</em></span> | |
618 | </p> | |
619 | </td> | |
620 | </tr> | |
621 | </tbody> | |
622 | </table></div> | |
623 | </div> | |
624 | <br class="table-break"><a name="boost_icl.function_reference.addition.functions.hinted_addition"></a><h6> | |
625 | <a name="id1155640"></a> | |
626 | <a class="link" href="addition.html#boost_icl.function_reference.addition.functions.hinted_addition">Hinted | |
627 | addition</a> | |
628 | </h6> | |
629 | <p> | |
630 | Function <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">prior</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">addend</span><span class="special">)</span></code> | |
631 | allows for an addition in <span class="emphasis"><em><span class="bold"><strong>constant time</strong></span></em></span>, | |
632 | if <code class="computeroutput"><span class="identifier">addend</span></code> can be inserted | |
633 | right after iterator <code class="computeroutput"><span class="identifier">prior</span></code> | |
634 | without collision. If this is not possible the complexity characteristics | |
635 | are as stated for the non hinted addition above. Hinted addition is available | |
636 | for these combinations of types: | |
637 | </p> | |
638 | <pre class="programlisting"><span class="comment">// overload table for addition with hint T\P| e i b p | |
639 | </span><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">prior</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">---+--------</span> | |
640 | <span class="identifier">J</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="identifier">J</span> <span class="identifier">prior</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> | |
641 | <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> | |
642 | <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> | |
643 | <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> | |
644 | </pre> | |
645 | <p> | |
646 | </p> | |
647 | </div> | |
648 | <div class="section boost_icl_function_reference_addition_inplace_operators" lang="en"> | |
649 | <div class="titlepage"><div><div><h4 class="title"> | |
650 | <a name="boost_icl.function_reference.addition.inplace_operators"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.inplace_operators" title="Inplace operators">Inplace | |
651 | operators</a> | |
652 | </h4></div></div></div> | |
653 | <p> | |
654 | The possible overloads of inplace <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> <span class="keyword">operator</span> | |
655 | <span class="special">+=</span> <span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> are given by two tables, that show | |
656 | admissible combinations of types. Row types show instantiations of argument | |
657 | type <code class="computeroutput"><span class="identifier">T</span></code>. Columns types show | |
658 | show instantiations of argument type <code class="computeroutput"><span class="identifier">P</span></code>. | |
659 | If a combination of argument types is possible, the related table cell | |
660 | contains the result type of the operation. <a class="link" href="../interface/function_synopsis.html#element_type">Placeholders</a> | |
661 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
662 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
663 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
664 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
665 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
666 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
667 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
668 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
669 | will be used to denote <span class="emphasis"><em>elements, intervals, element value pairs, | |
670 | interval value pairs, element sets, interval sets, element maps</em></span> | |
671 | and <span class="emphasis"><em>interval maps</em></span>. The first table shows the overloads | |
672 | of <code class="computeroutput"><span class="special">+=</span></code> for <span class="emphasis"><em>element | |
673 | containers</em></span> the second table refers to <span class="emphasis"><em>interval containers</em></span>. | |
674 | </p> | |
675 | <p> | |
676 | ||
677 | </p> | |
678 | <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: | |
679 | </span><span class="identifier">T</span><span class="special">&</span> <span class="keyword">operator</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">+=</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="special">+=</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> | |
680 | <span class="special">---+--------</span> <span class="special">---+------------</span> | |
681 | <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span> | |
682 | <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> | |
683 | </pre> | |
684 | <p> | |
685 | </p> | |
686 | <p> | |
687 | For the definition of admissible overloads we separate <span class="emphasis"><em>element | |
688 | containers</em></span> from <span class="emphasis"><em>interval containers</em></span>. Within | |
689 | each group all combinations of types are supported for an operation, that | |
690 | are in line with the <span class="bold"><strong>icl's</strong></span> design and | |
691 | the sets of laws, that establish the <span class="bold"><strong>icl's</strong></span> | |
692 | <a class="link" href="../semantics.html" title="Semantics">semantics</a>. | |
693 | </p> | |
694 | <p> | |
695 | Overloads between <span class="emphasis"><em>element containers</em></span> and <span class="emphasis"><em>interval | |
696 | containers</em></span> could also be defined. But this has not been done | |
697 | for pragmatical reasons: Each additional combination of types for an operation | |
698 | enlarges the space of possible overloads. This makes the overload resolution | |
699 | by compilers more complex, error prone and slows down compilation speed. | |
700 | Error messages for unresolvable or ambiguous overloads are difficult to | |
701 | read and understand. Therefore overloading of namespace global functions | |
702 | in the <span class="bold"><strong>icl</strong></span> are limited to a reasonable | |
703 | field of combinations, that are described here. | |
704 | </p> | |
705 | </div> | |
706 | <a name="boost_icl.function_reference.addition.complexity"></a><h5> | |
707 | <a name="id1156317"></a> | |
708 | <a class="link" href="addition.html#boost_icl.function_reference.addition.complexity">Complexity</a> | |
709 | </h5> | |
710 | <p> | |
711 | For different combinations of argument types <code class="computeroutput"><span class="identifier">T</span></code> | |
712 | and <code class="computeroutput"><span class="identifier">P</span></code> different implementations | |
713 | of the <code class="computeroutput"><span class="keyword">operator</span> <span class="special">+=</span></code> | |
714 | are selected. These implementations show different complexity characteristics. | |
715 | If <code class="computeroutput"><span class="identifier">T</span></code> is a container type, | |
716 | the combination of domain elements (<a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>) or element value pairs (<a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>) is faster than a combination of intervals | |
717 | (<a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>) | |
718 | or interval value pairs (<a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>) which in turn is faster than the combination | |
719 | of element or interval containers. The next table shows <span class="emphasis"><em>time complexities</em></span> | |
720 | of addition for <span class="bold"><strong>icl's</strong></span> element containers. | |
721 | </p> | |
722 | <p> | |
723 | Sizes <code class="computeroutput"><span class="identifier">n</span></code> and <code class="computeroutput"><span class="identifier">m</span></code> are in the complexity statements are | |
724 | sizes of objects <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">y</span></code> | |
725 | and <code class="computeroutput"><span class="identifier">P</span> <span class="identifier">x</span></code>: | |
726 | ||
727 | </p> | |
728 | <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">y</span><span class="special">);</span> | |
729 | <span class="identifier">m</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span> <span class="comment">//if P is a container type | |
730 | </span></pre> | |
731 | <p> | |
732 | Note, that for an interval container the number of elements <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">size</span></code> | |
733 | is different from the number of intervals that you can iterate over. Therefore | |
734 | a function <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">iterative_size</span><span class="special">()</span></code> | |
735 | is used that provides the desired kind of size. | |
736 | </p> | |
737 | <div class="table"> | |
738 | <a name="id1157636"></a><p class="title"><b>Table 1.22. Time Complexity for inplace Addition on element | |
739 | containers</b></p> | |
740 | <div class="table-contents"><table class="table" summary="Time Complexity for inplace Addition on element | |
741 | containers"> | |
742 | <colgroup> | |
743 | <col> | |
744 | <col> | |
745 | <col> | |
746 | <col> | |
747 | <col> | |
748 | </colgroup> | |
749 | <thead><tr> | |
750 | <th> | |
751 | <p> | |
752 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
753 | <span class="keyword">operator</span> <span class="special">+=</span> | |
754 | <span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> | |
755 | <span class="identifier">x</span><span class="special">)</span></code> | |
756 | </p> | |
757 | </th> | |
758 | <th> | |
759 | <p> | |
760 | domain<br> type | |
761 | </p> | |
762 | </th> | |
763 | <th> | |
764 | <p> | |
765 | domain<br> mapping<br> type | |
766 | </p> | |
767 | </th> | |
768 | <th> | |
769 | <p> | |
770 | __ch_icl<span class="underline">sets</span><span class="underline">][</span>_ch_icl<span class="underline">maps</span>_ | |
771 | </p> | |
772 | </th> | |
773 | <td class="auto-generated"> </td> | |
774 | </tr></thead> | |
775 | <tbody> | |
776 | <tr> | |
777 | <td> | |
778 | <p> | |
779 | <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> | |
780 | </p> | |
781 | </td> | |
782 | <td> | |
783 | <p> | |
784 | <span class="emphasis"><em>O(log n)</em></span> | |
785 | </p> | |
786 | </td> | |
787 | <td> | |
788 | <p> | |
789 | </p> | |
790 | </td> | |
791 | <td> | |
792 | <p> | |
793 | <span class="emphasis"><em>O(m)</em></span> | |
794 | </p> | |
795 | </td> | |
796 | <td> | |
797 | <p> | |
798 | </p> | |
799 | </td> | |
800 | </tr> | |
801 | <tr> | |
802 | <td> | |
803 | <p> | |
804 | <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> | |
805 | </p> | |
806 | </td> | |
807 | <td> | |
808 | <p> | |
809 | </p> | |
810 | </td> | |
811 | <td> | |
812 | <p> | |
813 | <span class="emphasis"><em>O(log n)</em></span> | |
814 | </p> | |
815 | </td> | |
816 | <td> | |
817 | <p> | |
818 | </p> | |
819 | </td> | |
820 | <td> | |
821 | <p> | |
822 | <span class="emphasis"><em>O(m)</em></span> | |
823 | </p> | |
824 | </td> | |
825 | </tr> | |
826 | </tbody> | |
827 | </table></div> | |
828 | </div> | |
829 | <br class="table-break"><p> | |
830 | Time complexity characteristics of inplace addition for interval containers | |
831 | is given by this table. | |
832 | </p> | |
833 | <div class="table"> | |
834 | <a name="id1157881"></a><p class="title"><b>Table 1.23. Time Complexity for inplace Addition on interval | |
835 | containers</b></p> | |
836 | <div class="table-contents"><table class="table" summary="Time Complexity for inplace Addition on interval | |
837 | containers"> | |
838 | <colgroup> | |
839 | <col> | |
840 | <col> | |
841 | <col> | |
842 | <col> | |
843 | <col> | |
844 | <col> | |
845 | <col> | |
846 | <col> | |
847 | </colgroup> | |
848 | <thead><tr> | |
849 | <th> | |
850 | <p> | |
851 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
852 | <span class="keyword">operator</span> <span class="special">+=</span> | |
853 | <span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> | |
854 | <span class="identifier">x</span><span class="special">)</span></code> | |
855 | </p> | |
856 | </th> | |
857 | <th> | |
858 | <p> | |
859 | </p> | |
860 | </th> | |
861 | <th> | |
862 | <p> | |
863 | domain<br> type | |
864 | </p> | |
865 | </th> | |
866 | <th> | |
867 | <p> | |
868 | interval<br> type | |
869 | </p> | |
870 | </th> | |
871 | <th> | |
872 | <p> | |
873 | domain<br> mapping<br> type | |
874 | </p> | |
875 | </th> | |
876 | <th> | |
877 | <p> | |
878 | interval<br> mapping<br> type | |
879 | </p> | |
880 | </th> | |
881 | <th> | |
882 | <p> | |
883 | interval<br> sets | |
884 | </p> | |
885 | </th> | |
886 | <th> | |
887 | <p> | |
888 | interval<br> maps | |
889 | </p> | |
890 | </th> | |
891 | </tr></thead> | |
892 | <tbody> | |
893 | <tr> | |
894 | <td> | |
895 | <p> | |
896 | interval_sets | |
897 | </p> | |
898 | </td> | |
899 | <td> | |
900 | <p> | |
901 | <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_set</a></code><br> | |
902 | <code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_set</a></code> | |
903 | </p> | |
904 | </td> | |
905 | <td> | |
906 | <p> | |
907 | <span class="emphasis"><em>O(log n)</em></span> | |
908 | </p> | |
909 | </td> | |
910 | <td> | |
911 | <p> | |
912 | <span class="emphasis"><em>amortized<br> O(log n)</em></span> | |
913 | </p> | |
914 | </td> | |
915 | <td> | |
916 | <p> | |
917 | </p> | |
918 | </td> | |
919 | <td> | |
920 | <p> | |
921 | </p> | |
922 | </td> | |
923 | <td> | |
924 | <p> | |
925 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
926 | </p> | |
927 | </td> | |
928 | <td> | |
929 | <p> | |
930 | </p> | |
931 | </td> | |
932 | </tr> | |
933 | <tr> | |
934 | <td> | |
935 | <p> | |
936 | </p> | |
937 | </td> | |
938 | <td> | |
939 | <p> | |
940 | <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_set</a></code> | |
941 | </p> | |
942 | </td> | |
943 | <td> | |
944 | <p> | |
945 | <span class="emphasis"><em>O(log n)</em></span> | |
946 | </p> | |
947 | </td> | |
948 | <td> | |
949 | <p> | |
950 | <span class="emphasis"><em>O(n)</em></span> | |
951 | </p> | |
952 | </td> | |
953 | <td> | |
954 | <p> | |
955 | </p> | |
956 | </td> | |
957 | <td> | |
958 | <p> | |
959 | </p> | |
960 | </td> | |
961 | <td> | |
962 | <p> | |
963 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
964 | </p> | |
965 | </td> | |
966 | <td> | |
967 | <p> | |
968 | </p> | |
969 | </td> | |
970 | </tr> | |
971 | <tr> | |
972 | <td> | |
973 | <p> | |
974 | interval_maps | |
975 | </p> | |
976 | </td> | |
977 | <td> | |
978 | <p> | |
979 | </p> | |
980 | </td> | |
981 | <td> | |
982 | <p> | |
983 | </p> | |
984 | </td> | |
985 | <td> | |
986 | <p> | |
987 | </p> | |
988 | </td> | |
989 | <td> | |
990 | <p> | |
991 | <span class="emphasis"><em>O(log n)</em></span> | |
992 | </p> | |
993 | </td> | |
994 | <td> | |
995 | <p> | |
996 | <span class="emphasis"><em>O(n)</em></span> | |
997 | </p> | |
998 | </td> | |
999 | <td> | |
1000 | <p> | |
1001 | </p> | |
1002 | </td> | |
1003 | <td> | |
1004 | <p> | |
1005 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
1006 | </p> | |
1007 | </td> | |
1008 | </tr> | |
1009 | </tbody> | |
1010 | </table></div> | |
1011 | </div> | |
1012 | <br class="table-break"><p> | |
1013 | Since the implementation of element and interval containers is based on the | |
1014 | <a class="link" href="../implementation.html" title="Implementation">link red-black tree implementation</a> | |
1015 | of std::AssociativeContainers, we have a logarithmic complexity for addition | |
1016 | of elements. Addition of intervals or interval value pairs is amortized logarithmic | |
1017 | for <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code> and | |
1018 | <code class="computeroutput"><a class="link" href="../../boost/icl/separate_interval_set.html" title="Class template separate_interval_set">separate_interval_sets</a></code> | |
1019 | and linear for <code class="computeroutput"><a class="link" href="../../boost/icl/split_interval_set.html" title="Class template split_interval_set">split_interval_sets</a></code> | |
1020 | and <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code>. | |
1021 | Addition is linear for element containers and loglinear for interval containers. | |
1022 | </p> | |
1023 | <div class="section boost_icl_function_reference_addition_infix_operators" lang="en"> | |
1024 | <div class="titlepage"><div><div><h4 class="title"> | |
1025 | <a name="boost_icl.function_reference.addition.infix_operators"></a><a class="link" href="addition.html#boost_icl.function_reference.addition.infix_operators" title="Infix operators">Infix | |
1026 | operators</a> | |
1027 | </h4></div></div></div> | |
1028 | <p> | |
1029 | The admissible type combinations for infix <code class="computeroutput"><span class="keyword">operator</span> | |
1030 | <span class="special">+</span></code> are defined by the overload tables | |
1031 | below. | |
1032 | </p> | |
1033 | <p> | |
1034 | ||
1035 | </p> | |
1036 | <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: | |
1037 | </span><span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">+</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">+</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="special">+</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">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
1038 | <span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">+</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&,</span> <span class="identifier">T</span><span class="special">)</span> <span class="special">---+--------</span> <span class="special">---+---------------------------</span> | |
1039 | <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> | |
1040 | <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> | |
1041 | <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
1042 | <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
1043 | <span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> | |
1044 | <span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> | |
1045 | <span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> | |
1046 | <span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
1047 | <span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> | |
1048 | </pre> | |
1049 | <p> | |
1050 | </p> | |
1051 | </div> | |
1052 | <p> | |
1053 | <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span> | |
1054 | </p> | |
1055 | <div class="informaltable"><table class="table"> | |
1056 | <colgroup><col></colgroup> | |
1057 | <thead><tr></tr></thead> | |
1058 | <tbody> | |
1059 | <tr><td> | |
1060 | <p> | |
1061 | <a class="link" href="subtraction.html" title="Subtraction"><span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span></a> | |
1062 | </p> | |
1063 | </td></tr> | |
1064 | <tr><td> | |
1065 | <p> | |
1066 | <a class="link" href="insertion.html" title="Insertion"><span class="emphasis"><em><span class="bold"><strong>Insertion</strong></span></em></span></a> | |
1067 | </p> | |
1068 | </td></tr> | |
1069 | </tbody> | |
1070 | </table></div> | |
1071 | <p> | |
1072 | <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span> | |
1073 | </p> | |
1074 | <div class="informaltable"><table class="table"> | |
1075 | <colgroup><col></colgroup> | |
1076 | <thead><tr></tr></thead> | |
1077 | <tbody> | |
1078 | <tr><td> | |
1079 | <p> | |
1080 | <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function | |
1081 | Synopsis</strong></span></em></span></a> | |
1082 | </p> | |
1083 | </td></tr> | |
1084 | <tr><td> | |
1085 | <p> | |
1086 | <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a> | |
1087 | </p> | |
1088 | </td></tr> | |
1089 | </tbody> | |
1090 | </table></div> | |
1091 | </div> | |
1092 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
1093 | <td align="left"></td> | |
1094 | <td align="right"><div class="copyright-footer">Copyright © 2007 -2010 Joachim Faulhaber<br>Copyright © 1999 -2006 Cortex Software GmbH<p> | |
1095 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
1096 | 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>) | |
1097 | </p> | |
1098 | </div></td> | |
1099 | </tr></table> | |
1100 | <hr> | |
1101 | <div class="spirit-nav"> | |
1102 | <a accesskey="p" href="selection.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../function_reference.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="subtraction.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> | |
1103 | </div> | |
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