]>
Commit | Line | Data |
---|---|---|
7c673cae FG |
1 | <html> |
2 | <head> | |
3 | <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> | |
4 | <title>Intersection</title> | |
5 | <link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css"> | |
6 | <meta name="generator" content="DocBook XSL Stylesheets V1.74.0"> | |
7 | <link rel="home" href="../../index.html" title="Chapter 1. Boost.Icl"> | |
8 | <link rel="up" href="../function_reference.html" title="Function Reference"> | |
9 | <link rel="prev" href="erasure.html" title="Erasure"> | |
10 | <link rel="next" href="symmetric_difference.html" title="Symmetric Difference"> | |
11 | </head> | |
12 | <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> | |
13 | <table cellpadding="2" width="100%"><tr> | |
14 | <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../boost.png"></td> | |
15 | <td align="center"><a href="../../../../../../index.html">Home</a></td> | |
16 | <td align="center"><a href="../../../../../libraries.htm">Libraries</a></td> | |
17 | <td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> | |
18 | <td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> | |
19 | <td align="center"><a href="../../../../../../more/index.htm">More</a></td> | |
20 | </tr></table> | |
21 | <hr> | |
22 | <div class="spirit-nav"> | |
23 | <a accesskey="p" href="erasure.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="symmetric_difference.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> | |
24 | </div> | |
25 | <div class="section boost_icl_function_reference_intersection" lang="en"> | |
26 | <div class="titlepage"><div><div><h3 class="title"> | |
27 | <a name="boost_icl.function_reference.intersection"></a><a class="link" href="intersection.html" title="Intersection">Intersection</a> | |
28 | </h3></div></div></div> | |
29 | <div class="toc"><dl> | |
30 | <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.synopsis">Synopsis</a></span></dt> | |
31 | <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.functions">Functions</a></span></dt> | |
32 | <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.inplace_operators">Inplace | |
33 | operators</a></span></dt> | |
34 | <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.infix_operators">Infix | |
35 | operators</a></span></dt> | |
36 | <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.intersection_tester">Intersection | |
37 | tester</a></span></dt> | |
38 | </dl></div> | |
39 | <div class="section boost_icl_function_reference_intersection_synopsis" lang="en"> | |
40 | <div class="titlepage"><div><div><h4 class="title"> | |
41 | <a name="boost_icl.function_reference.intersection.synopsis"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.synopsis" title="Synopsis">Synopsis</a> | |
42 | </h4></div></div></div> | |
43 | <div class="informaltable"><table class="table"> | |
44 | <colgroup> | |
45 | <col> | |
46 | <col> | |
47 | <col> | |
48 | <col> | |
49 | <col> | |
50 | <col> | |
51 | </colgroup> | |
52 | <thead><tr> | |
53 | <th> | |
54 | <p> | |
55 | Intersection | |
56 | </p> | |
57 | </th> | |
58 | <th> | |
59 | <p> | |
60 | interval<br> type | |
61 | </p> | |
62 | </th> | |
63 | <th> | |
64 | <p> | |
65 | interval<br> sets | |
66 | </p> | |
67 | </th> | |
68 | <th> | |
69 | <p> | |
70 | interval<br> maps | |
71 | </p> | |
72 | </th> | |
73 | <th> | |
74 | <p> | |
75 | element<br> sets | |
76 | </p> | |
77 | </th> | |
78 | <th> | |
79 | <p> | |
80 | element<br> maps | |
81 | </p> | |
82 | </th> | |
83 | </tr></thead> | |
84 | <tbody> | |
85 | <tr> | |
86 | <td> | |
87 | <p> | |
88 | <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> | |
89 | <span class="identifier">T</span><span class="special">&,</span> | |
90 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
91 | </p> | |
92 | </td> | |
93 | <td> | |
94 | <p> | |
95 | </p> | |
96 | </td> | |
97 | <td> | |
98 | <p> | |
99 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
100 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
101 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
102 | </p> | |
103 | </td> | |
104 | <td> | |
105 | <p> | |
106 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
107 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
108 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
109 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
110 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
111 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
112 | </p> | |
113 | </td> | |
114 | <td> | |
115 | <p> | |
116 | </p> | |
117 | </td> | |
118 | <td> | |
119 | <p> | |
120 | </p> | |
121 | </td> | |
122 | </tr> | |
123 | <tr> | |
124 | <td> | |
125 | <p> | |
126 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
127 | <span class="keyword">operator</span> <span class="special">&=(</span><span class="identifier">T</span><span class="special">&,</span> | |
128 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> | |
129 | </p> | |
130 | </td> | |
131 | <td> | |
132 | <p> | |
133 | </p> | |
134 | </td> | |
135 | <td> | |
136 | <p> | |
137 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
138 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
139 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
140 | </p> | |
141 | </td> | |
142 | <td> | |
143 | <p> | |
144 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
145 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
146 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
147 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
148 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
149 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
150 | </p> | |
151 | </td> | |
152 | <td> | |
153 | <p> | |
154 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
155 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
156 | </p> | |
157 | </td> | |
158 | <td> | |
159 | <p> | |
160 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
161 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
162 | </p> | |
163 | </td> | |
164 | </tr> | |
165 | <tr> | |
166 | <td> | |
167 | <p> | |
168 | <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span> | |
169 | <span class="special">&</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> | |
170 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span> | |
171 | <span class="keyword">operator</span> <span class="special">&</span> | |
172 | <span class="special">(</span><span class="keyword">const</span> | |
173 | <span class="identifier">P</span><span class="special">&,</span> | |
174 | <span class="identifier">T</span><span class="special">)</span></code> | |
175 | </p> | |
176 | </td> | |
177 | <td> | |
178 | <p> | |
179 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
180 | </p> | |
181 | </td> | |
182 | <td> | |
183 | <p> | |
184 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
185 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
186 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
187 | </p> | |
188 | </td> | |
189 | <td> | |
190 | <p> | |
191 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
192 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
193 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
194 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
195 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
196 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
197 | </p> | |
198 | </td> | |
199 | <td> | |
200 | <p> | |
201 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
202 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
203 | </p> | |
204 | </td> | |
205 | <td> | |
206 | <p> | |
207 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
208 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
209 | </p> | |
210 | </td> | |
211 | </tr> | |
212 | <tr> | |
213 | <td> | |
214 | <p> | |
215 | <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> | |
216 | <span class="identifier">T</span><span class="special">&,</span> | |
217 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span> | |
218 | <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> | |
219 | <span class="identifier">P</span><span class="special">&)</span></code> | |
220 | </p> | |
221 | </td> | |
222 | <td> | |
223 | <p> | |
224 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
225 | </p> | |
226 | </td> | |
227 | <td> | |
228 | <p> | |
229 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
230 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
231 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
232 | </p> | |
233 | </td> | |
234 | <td> | |
235 | <p> | |
236 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
237 | <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> | |
238 | <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> | |
239 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
240 | <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> | |
241 | <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> | |
242 | </p> | |
243 | </td> | |
244 | <td> | |
245 | <p> | |
246 | <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> | |
247 | <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> | |
248 | </p> | |
249 | </td> | |
250 | <td> | |
251 | <p> | |
252 | <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> | |
253 | <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> | |
254 | </p> | |
255 | </td> | |
256 | </tr> | |
257 | </tbody> | |
258 | </table></div> | |
259 | <p> | |
260 | Functions and operators that are related to <span class="emphasis"><em><span class="bold"><strong>intersection</strong></span></em></span> | |
261 | on <span class="bold"><strong>icl</strong></span> objects are given in the table | |
262 | above. | |
263 | </p> | |
264 | <div class="informaltable"><table class="table"> | |
265 | <colgroup> | |
266 | <col> | |
267 | <col> | |
268 | </colgroup> | |
269 | <thead><tr> | |
270 | <th> | |
271 | <p> | |
272 | </p> | |
273 | </th> | |
274 | <th> | |
275 | <p> | |
276 | Description of Intersection | |
277 | </p> | |
278 | </th> | |
279 | </tr></thead> | |
280 | <tbody> | |
281 | <tr> | |
282 | <td> | |
283 | <p> | |
284 | <code class="computeroutput"><span class="identifier">Sets</span></code> | |
285 | </p> | |
286 | </td> | |
287 | <td> | |
288 | <p> | |
289 | Intersection on Sets implements <span class="emphasis"><em><span class="bold"><strong>set | |
290 | intersection</strong></span></em></span> | |
291 | </p> | |
292 | </td> | |
293 | </tr> | |
294 | <tr> | |
295 | <td> | |
296 | <p> | |
297 | <code class="computeroutput"><span class="identifier">Maps</span></code> | |
298 | </p> | |
299 | </td> | |
300 | <td> | |
301 | <p> | |
302 | Intersection on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map | |
303 | intersection</strong></span></em></span> function similar to <span class="emphasis"><em>set | |
304 | intersection</em></span>. If, on intersection, an element value | |
305 | 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> it's key <code class="computeroutput"><span class="identifier">k</span></code> | |
306 | is in the map already, the intersection function is propagated | |
307 | to the associated value, if it exists for the Map's codomain_type. | |
308 | </p> | |
309 | <p> | |
310 | If the codomain_type has no intersection operation, associated | |
311 | values are combined using addition. For partial map types this | |
312 | results in an addition on the intersection of the domains of the | |
313 | intersected sets. For total maps intersection and addition are | |
314 | identical in this case. | |
315 | </p> | |
316 | <p> | |
317 | See also <a class="link" href="../semantics/quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.intersection_on_quantifiers"><span class="emphasis"><em>intersection | |
318 | on Maps of numbers</em></span></a>. | |
319 | </p> | |
320 | <p> | |
321 | A Map can be intersected with key types: an element (an interval | |
322 | for interval_maps) and and a Set. This results in the selection | |
323 | of a submap, and can be defined as a generalized selection function | |
324 | on Maps. | |
325 | </p> | |
326 | </td> | |
327 | </tr> | |
328 | </tbody> | |
329 | </table></div> | |
330 | </div> | |
331 | <div class="section boost_icl_function_reference_intersection_functions" lang="en"> | |
332 | <div class="titlepage"><div><div><h4 class="title"> | |
333 | <a name="boost_icl.function_reference.intersection.functions"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.functions" title="Functions">Functions</a> | |
334 | </h4></div></div></div> | |
335 | <p> | |
336 | The overloaded function | |
337 | </p> | |
338 | <p> | |
339 | <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span> | |
340 | <span class="identifier">result</span><span class="special">,</span> | |
341 | <span class="keyword">const</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> <span class="identifier">x</span><span class="special">)</span></code> | |
342 | </p> | |
343 | <p> | |
344 | allows to accumulate the intersection of <code class="computeroutput"><span class="identifier">y</span></code> | |
345 | and <code class="computeroutput"><span class="identifier">x</span></code> in the first argument | |
346 | <code class="computeroutput"><span class="identifier">result</span></code>. <code class="computeroutput"><span class="identifier">Result</span></code> | |
347 | might already contain data. In this case the intersection of <code class="computeroutput"><span class="identifier">y</span></code> and <code class="computeroutput"><span class="identifier">x</span></code> | |
348 | is <code class="computeroutput"><span class="identifier">added</span></code> the the contents | |
349 | of <code class="computeroutput"><span class="identifier">result</span></code>. | |
350 | </p> | |
351 | <pre class="programlisting"><span class="identifier">T</span> <span class="identifier">s1</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">s2</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">g</span><span class="special">;</span> <span class="identifier">P</span> <span class="identifier">x</span> <span class="special">=</span> <span class="identifier">h</span><span class="special">;</span> <span class="comment">// The effect of | |
352 | </span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">s1</span><span class="special">,</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// add_intersection | |
353 | </span><span class="identifier">s2</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">y</span> <span class="special">&</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// and & followed by += | |
354 | </span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">s1</span><span class="special">==</span><span class="identifier">s2</span><span class="special">);</span> <span class="comment">// is identical | |
355 | </span></pre> | |
356 | <p> | |
357 | </p> | |
358 | <p> | |
359 | This might be convenient, if intersection is used like a generalized selection | |
360 | function. Using element or segment types for <code class="computeroutput"><span class="identifier">P</span></code>, | |
361 | we can select small parts of a container <code class="computeroutput"><span class="identifier">y</span></code> | |
362 | and accumulate them in <code class="computeroutput"><span class="identifier">section</span></code>. | |
363 | </p> | |
364 | <p> | |
365 | The admissible combinations of types for function <code class="computeroutput"><span class="keyword">void</span> | |
366 | <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</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> | |
367 | can be summarized in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span> | |
368 | below. Compared to other overload tables, placements of function arguments | |
369 | are different: Row headers denote type <code class="computeroutput"><span class="identifier">T</span></code> | |
370 | of <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code> | |
371 | object. Columns headers denote type <code class="computeroutput"><span class="identifier">P</span></code> | |
372 | of the second function argument. The table cells contain the arguments | |
373 | <code class="computeroutput"><span class="identifier">T</span></code> of the intersections | |
374 | <code class="computeroutput"><span class="identifier">result</span></code>, which is the functions | |
375 | first argument. | |
376 | </p> | |
377 | <p> | |
378 | ||
379 | </p> | |
380 | <pre class="programlisting"><span class="comment">/* overload table for */</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> | |
381 | <span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">result</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span> <span class="special">---+--------</span> | |
382 | <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> | |
383 | <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> | |
384 | <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> | |
385 | <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="identifier">M</span> | |
386 | </pre> | |
387 | <p> | |
388 | </p> | |
389 | <p> | |
390 | The next table contains complexity characteristics for function <code class="computeroutput"><span class="identifier">add_intersection</span></code>. | |
391 | </p> | |
392 | <div class="table"> | |
393 | <a name="id1173607"></a><p class="title"><b>Table 1.34. Time Complexity for function add_intersection | |
394 | on icl containers</b></p> | |
395 | <div class="table-contents"><table class="table" summary="Time Complexity for function add_intersection | |
396 | on icl containers"> | |
397 | <colgroup> | |
398 | <col> | |
399 | <col> | |
400 | <col> | |
401 | <col> | |
402 | <col> | |
403 | </colgroup> | |
404 | <thead><tr> | |
405 | <th> | |
406 | <p> | |
407 | <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> | |
408 | <span class="identifier">T</span><span class="special">&,</span> | |
409 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span></code> | |
410 | </p> | |
411 | </th> | |
412 | <th> | |
413 | <p> | |
414 | domain<br> type | |
415 | </p> | |
416 | </th> | |
417 | <th> | |
418 | <p> | |
419 | interval<br> type | |
420 | </p> | |
421 | </th> | |
422 | <th> | |
423 | <p> | |
424 | domain<br> mapping<br> type | |
425 | </p> | |
426 | </th> | |
427 | <th> | |
428 | <p> | |
429 | interval<br> mapping<br> type | |
430 | </p> | |
431 | </th> | |
432 | </tr></thead> | |
433 | <tbody> | |
434 | <tr> | |
435 | <td> | |
436 | <p> | |
437 | <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> | |
438 | </p> | |
439 | </td> | |
440 | <td> | |
441 | <p> | |
442 | <span class="emphasis"><em>O(log n)</em></span> | |
443 | </p> | |
444 | </td> | |
445 | <td> | |
446 | <p> | |
447 | </p> | |
448 | </td> | |
449 | <td> | |
450 | <p> | |
451 | </p> | |
452 | </td> | |
453 | <td> | |
454 | <p> | |
455 | </p> | |
456 | </td> | |
457 | </tr> | |
458 | <tr> | |
459 | <td> | |
460 | <p> | |
461 | <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> | |
462 | </p> | |
463 | </td> | |
464 | <td> | |
465 | <p> | |
466 | <span class="emphasis"><em>O(log n)</em></span> | |
467 | </p> | |
468 | </td> | |
469 | <td> | |
470 | <p> | |
471 | </p> | |
472 | </td> | |
473 | <td> | |
474 | <p> | |
475 | <span class="emphasis"><em>O(log n)</em></span> | |
476 | </p> | |
477 | </td> | |
478 | <td> | |
479 | <p> | |
480 | </p> | |
481 | </td> | |
482 | </tr> | |
483 | <tr> | |
484 | <td> | |
485 | <p> | |
486 | <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code> | |
487 | </p> | |
488 | </td> | |
489 | <td> | |
490 | <p> | |
491 | <span class="emphasis"><em>O(log n)</em></span> | |
492 | </p> | |
493 | </td> | |
494 | <td> | |
495 | <p> | |
496 | <span class="emphasis"><em>O(n)</em></span> | |
497 | </p> | |
498 | </td> | |
499 | <td> | |
500 | <p> | |
501 | </p> | |
502 | </td> | |
503 | <td> | |
504 | <p> | |
505 | </p> | |
506 | </td> | |
507 | </tr> | |
508 | <tr> | |
509 | <td> | |
510 | <p> | |
511 | <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code> | |
512 | </p> | |
513 | </td> | |
514 | <td> | |
515 | <p> | |
516 | <span class="emphasis"><em>O(log n)</em></span> | |
517 | </p> | |
518 | </td> | |
519 | <td> | |
520 | <p> | |
521 | <span class="emphasis"><em>O(n)</em></span> | |
522 | </p> | |
523 | </td> | |
524 | <td> | |
525 | <p> | |
526 | <span class="emphasis"><em>O(n)</em></span> | |
527 | </p> | |
528 | </td> | |
529 | <td> | |
530 | <p> | |
531 | <span class="emphasis"><em>O(n)</em></span> | |
532 | </p> | |
533 | </td> | |
534 | </tr> | |
535 | </tbody> | |
536 | </table></div> | |
537 | </div> | |
538 | <br class="table-break"> | |
539 | </div> | |
540 | <div class="section boost_icl_function_reference_intersection_inplace_operators" lang="en"> | |
541 | <div class="titlepage"><div><div><h4 class="title"> | |
542 | <a name="boost_icl.function_reference.intersection.inplace_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.inplace_operators" title="Inplace operators">Inplace | |
543 | operators</a> | |
544 | </h4></div></div></div> | |
545 | <p> | |
546 | The overload tables below are giving admissible type combinations for the | |
547 | intersection <code class="computeroutput"><span class="keyword">operator</span> <span class="special">&=</span></code>. | |
548 | As for the overload patterns of <span class="emphasis"><em>subtraction</em></span> intersections | |
549 | are possible within Sets and Maps but also for Maps combined with <span class="emphasis"><em>key | |
550 | objects</em></span> which are <span class="emphasis"><em>key elements, intervals</em></span> | |
551 | and <span class="emphasis"><em>Sets of keys</em></span>. | |
552 | </p> | |
553 | <p> | |
554 | ||
555 | </p> | |
556 | <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: | |
557 | </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> | |
558 | <span class="special">---+--------</span> <span class="special">---+------------</span> | |
559 | <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> | |
560 | <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="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> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> | |
561 | </pre> | |
562 | <p> | |
563 | </p> | |
564 | <p> | |
565 | While intersection on maps can be viewed as a <span class="emphasis"><em><span class="bold"><strong>generalisation | |
566 | of set intersection</strong></span></em></span>. The combination on Maps and | |
567 | Sets can be interpreted as a <span class="emphasis"><em><span class="bold"><strong>generalized | |
568 | selection function</strong></span></em></span>, because it allows to select parts | |
569 | of a maps using <span class="emphasis"><em>key</em></span> or <span class="emphasis"><em>selection objects</em></span>. | |
570 | So we have a <span class="emphasis"><em><span class="bold"><strong>generalized intersection</strong></span></em></span> | |
571 | for these overloads, | |
572 | </p> | |
573 | <p> | |
574 | ||
575 | </p> | |
576 | <pre class="programlisting"><span class="comment">/* (Generalized) intersection */</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> | |
577 | <span class="special">---+--------</span> <span class="special">---+------------</span> | |
578 | <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> | |
579 | <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> | |
580 | </pre> | |
581 | <p> | |
582 | </p> | |
583 | <p> | |
584 | <span class="bold"><strong>and</strong></span> a <span class="emphasis"><em><span class="bold"><strong>selection | |
585 | by key objects</strong></span></em></span> here: | |
586 | </p> | |
587 | <p> | |
588 | ||
589 | </p> | |
590 | <pre class="programlisting"><span class="comment">/* Selection by key objects */</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> | |
591 | <span class="special">---+--------</span> <span class="special">---+------------</span> | |
592 | <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> | |
593 | <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> | |
594 | </pre> | |
595 | <p> | |
596 | </p> | |
597 | <p> | |
598 | The differences for the different functionalities of <code class="computeroutput"><span class="keyword">operator</span> | |
599 | <span class="special">&=</span></code> are on the Map-row of the | |
600 | tables. Both functionalities fall together for Sets in the function <span class="emphasis"><em><span class="bold"><strong>set intersection</strong></span></em></span>. | |
601 | </p> | |
602 | <p> | |
603 | Complexity characteristics for inplace intersection operations are given | |
604 | by the next tables where | |
605 | </p> | |
606 | <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> | |
607 | <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 | |
608 | </span></pre> | |
609 | <p> | |
610 | </p> | |
611 | <div class="table"> | |
612 | <a name="id1174719"></a><p class="title"><b>Table 1.35. Time Complexity for inplace intersection on element | |
613 | containers</b></p> | |
614 | <div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection on element | |
615 | containers"> | |
616 | <colgroup> | |
617 | <col> | |
618 | <col> | |
619 | <col> | |
620 | <col> | |
621 | <col> | |
622 | </colgroup> | |
623 | <thead><tr> | |
624 | <th> | |
625 | <p> | |
626 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
627 | <span class="keyword">operator</span> <span class="special">&=</span> | |
628 | <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> | |
629 | <span class="identifier">P</span><span class="special">&</span> | |
630 | <span class="identifier">x</span><span class="special">)</span></code> | |
631 | </p> | |
632 | </th> | |
633 | <th> | |
634 | <p> | |
635 | domain<br> type | |
636 | </p> | |
637 | </th> | |
638 | <th> | |
639 | <p> | |
640 | domain<br> mapping<br> type | |
641 | </p> | |
642 | </th> | |
643 | <th> | |
644 | <p> | |
645 | std::set | |
646 | </p> | |
647 | </th> | |
648 | <th> | |
649 | <p> | |
650 | icl::map | |
651 | </p> | |
652 | </th> | |
653 | </tr></thead> | |
654 | <tbody> | |
655 | <tr> | |
656 | <td> | |
657 | <p> | |
658 | <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> | |
659 | </p> | |
660 | </td> | |
661 | <td> | |
662 | <p> | |
663 | <span class="emphasis"><em>O(log n)</em></span> | |
664 | </p> | |
665 | </td> | |
666 | <td> | |
667 | <p> | |
668 | </p> | |
669 | </td> | |
670 | <td> | |
671 | <p> | |
672 | <span class="emphasis"><em>O(m log n)</em></span> | |
673 | </p> | |
674 | </td> | |
675 | <td> | |
676 | <p> | |
677 | </p> | |
678 | </td> | |
679 | </tr> | |
680 | <tr> | |
681 | <td> | |
682 | <p> | |
683 | <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> | |
684 | </p> | |
685 | </td> | |
686 | <td> | |
687 | <p> | |
688 | <span class="emphasis"><em>O(log n)</em></span> | |
689 | </p> | |
690 | </td> | |
691 | <td> | |
692 | <p> | |
693 | <span class="emphasis"><em>O(log n)</em></span> | |
694 | </p> | |
695 | </td> | |
696 | <td> | |
697 | <p> | |
698 | <span class="emphasis"><em>O(m log n)</em></span> | |
699 | </p> | |
700 | </td> | |
701 | <td> | |
702 | <p> | |
703 | <span class="emphasis"><em>O(m log n)</em></span> | |
704 | </p> | |
705 | </td> | |
706 | </tr> | |
707 | </tbody> | |
708 | </table></div> | |
709 | </div> | |
710 | <br class="table-break"><div class="table"> | |
711 | <a name="id1174960"></a><p class="title"><b>Table 1.36. Time Complexity for inplace intersection | |
712 | on interval containers</b></p> | |
713 | <div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection | |
714 | on interval containers"> | |
715 | <colgroup> | |
716 | <col> | |
717 | <col> | |
718 | <col> | |
719 | <col> | |
720 | <col> | |
721 | <col> | |
722 | <col> | |
723 | </colgroup> | |
724 | <thead><tr> | |
725 | <th> | |
726 | <p> | |
727 | <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> | |
728 | <span class="keyword">operator</span> <span class="special">&=</span> | |
729 | <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> | |
730 | <span class="identifier">P</span><span class="special">&</span> | |
731 | <span class="identifier">x</span><span class="special">)</span></code> | |
732 | </p> | |
733 | </th> | |
734 | <th> | |
735 | <p> | |
736 | domain<br> type | |
737 | </p> | |
738 | </th> | |
739 | <th> | |
740 | <p> | |
741 | interval<br> type | |
742 | </p> | |
743 | </th> | |
744 | <th> | |
745 | <p> | |
746 | domain<br> mapping<br> type | |
747 | </p> | |
748 | </th> | |
749 | <th> | |
750 | <p> | |
751 | interval<br> mapping<br> type | |
752 | </p> | |
753 | </th> | |
754 | <th> | |
755 | <p> | |
756 | interval<br> sets | |
757 | </p> | |
758 | </th> | |
759 | <th> | |
760 | <p> | |
761 | interval<br> maps | |
762 | </p> | |
763 | </th> | |
764 | </tr></thead> | |
765 | <tbody> | |
766 | <tr> | |
767 | <td> | |
768 | <p> | |
769 | interval_sets | |
770 | </p> | |
771 | </td> | |
772 | <td> | |
773 | <p> | |
774 | <span class="emphasis"><em>O(log n)</em></span> | |
775 | </p> | |
776 | </td> | |
777 | <td> | |
778 | <p> | |
779 | <span class="emphasis"><em>O(n)</em></span> | |
780 | </p> | |
781 | </td> | |
782 | <td> | |
783 | <p> | |
784 | </p> | |
785 | </td> | |
786 | <td> | |
787 | <p> | |
788 | </p> | |
789 | </td> | |
790 | <td> | |
791 | <p> | |
792 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
793 | </p> | |
794 | </td> | |
795 | <td> | |
796 | <p> | |
797 | </p> | |
798 | </td> | |
799 | </tr> | |
800 | <tr> | |
801 | <td> | |
802 | <p> | |
803 | interval_maps | |
804 | </p> | |
805 | </td> | |
806 | <td> | |
807 | <p> | |
808 | <span class="emphasis"><em>O(log n)</em></span> | |
809 | </p> | |
810 | </td> | |
811 | <td> | |
812 | <p> | |
813 | <span class="emphasis"><em>O(n)</em></span> | |
814 | </p> | |
815 | </td> | |
816 | <td> | |
817 | <p> | |
818 | <span class="emphasis"><em>O(log n)</em></span> | |
819 | </p> | |
820 | </td> | |
821 | <td> | |
822 | <p> | |
823 | <span class="emphasis"><em>O(n)</em></span> | |
824 | </p> | |
825 | </td> | |
826 | <td> | |
827 | <p> | |
828 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
829 | </p> | |
830 | </td> | |
831 | <td> | |
832 | <p> | |
833 | <span class="emphasis"><em>O(m log(n+m))</em></span> | |
834 | </p> | |
835 | </td> | |
836 | </tr> | |
837 | </tbody> | |
838 | </table></div> | |
839 | </div> | |
840 | <br class="table-break"> | |
841 | </div> | |
842 | <div class="section boost_icl_function_reference_intersection_infix_operators" lang="en"> | |
843 | <div class="titlepage"><div><div><h4 class="title"> | |
844 | <a name="boost_icl.function_reference.intersection.infix_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.infix_operators" title="Infix operators">Infix | |
845 | operators</a> | |
846 | </h4></div></div></div> | |
847 | <p> | |
848 | For the <span class="bold"><strong>icl's</strong></span> infix intersection the following | |
849 | overloads are available: | |
850 | </p> | |
851 | <p> | |
852 | ||
853 | </p> | |
854 | <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: | |
855 | </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> | |
856 | <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> | |
857 | <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
858 | <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">i</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> | |
859 | <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
860 | <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="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
861 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
862 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
863 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
864 | <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">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
865 | <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> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> | |
866 | </pre> | |
867 | <p> | |
868 | </p> | |
869 | <p> | |
870 | To resolve ambiguities among interval containers the <span class="emphasis"><em><span class="bold"><strong>finer</strong></span></em></span> container type is chosen as result | |
871 | type. | |
872 | </p> | |
873 | <p> | |
874 | Again, we can split up the overload tables of <code class="computeroutput"><span class="keyword">operator</span> | |
875 | <span class="special">&</span></code> in a part describing the | |
876 | <span class="emphasis"><em>*generalized intersection</em></span> on interval containers and | |
877 | a second part defining the <span class="emphasis"><em>*selection by key object</em></span> | |
878 | functionality. | |
879 | </p> | |
880 | <p> | |
881 | ||
882 | </p> | |
883 | <pre class="programlisting"><span class="comment">/* (Generalized) intersection */</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> | |
884 | <span class="special">---+--------</span> <span class="special">---+---------------------------</span> | |
885 | <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> | |
886 | <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">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> | |
887 | <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> | |
888 | <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> | |
889 | <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> | |
890 | <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> | |
891 | <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> | |
892 | <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> | |
893 | <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> | |
894 | </pre> | |
895 | <p> | |
896 | </p> | |
897 | <p> | |
898 | ||
899 | </p> | |
900 | <pre class="programlisting"><span class="comment">/* Selection by key objects */</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> | |
901 | <span class="special">---+--------</span> <span class="special">---+---------------------------</span> | |
902 | <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
903 | <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</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> | |
904 | <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span> | |
905 | <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> | |
906 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
907 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
908 | <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> <span class="identifier">M1</span> <span class="identifier">M3</span> | |
909 | <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">M1</span> <span class="identifier">M1</span> | |
910 | <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> <span class="identifier">M3</span> | |
911 | </pre> | |
912 | <p> | |
913 | </p> | |
914 | </div> | |
915 | <div class="section boost_icl_function_reference_intersection_intersection_tester" lang="en"> | |
916 | <div class="titlepage"><div><div><h4 class="title"> | |
917 | <a name="boost_icl.function_reference.intersection.intersection_tester"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.intersection_tester" title="Intersection tester">Intersection | |
918 | tester</a> | |
919 | </h4></div></div></div> | |
920 | <div class="informaltable"><table class="table"> | |
921 | <colgroup> | |
922 | <col> | |
923 | <col> | |
924 | </colgroup> | |
925 | <thead><tr> | |
926 | <th> | |
927 | <p> | |
928 | Tester | |
929 | </p> | |
930 | </th> | |
931 | <th> | |
932 | <p> | |
933 | Desctription | |
934 | </p> | |
935 | </th> | |
936 | </tr></thead> | |
937 | <tbody> | |
938 | <tr> | |
939 | <td> | |
940 | <p> | |
941 | <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> | |
942 | <span class="identifier">T</span><span class="special">&</span> | |
943 | <span class="identifier">left</span><span class="special">,</span> | |
944 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code> | |
945 | </p> | |
946 | </td> | |
947 | <td> | |
948 | <p> | |
949 | Tests, if <code class="computeroutput"><span class="identifier">left</span></code> | |
950 | and <code class="computeroutput"><span class="identifier">right</span></code> intersect. | |
951 | </p> | |
952 | </td> | |
953 | </tr> | |
954 | <tr> | |
955 | <td> | |
956 | <p> | |
957 | <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> | |
958 | <span class="identifier">T</span><span class="special">&</span> | |
959 | <span class="identifier">left</span><span class="special">,</span> | |
960 | <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code> | |
961 | </p> | |
962 | </td> | |
963 | <td> | |
964 | <p> | |
965 | Tests, if <code class="computeroutput"><span class="identifier">left</span></code> | |
966 | and <code class="computeroutput"><span class="identifier">right</span></code> are disjoint. | |
967 | </p> | |
968 | </td> | |
969 | </tr> | |
970 | <tr> | |
971 | <td> | |
972 | <p> | |
973 | </p> | |
974 | </td> | |
975 | <td> | |
976 | <p> | |
977 | <code class="computeroutput"><span class="identifier">intersects</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> | |
978 | <span class="special">==</span> <span class="special">!</span><span class="identifier">disjoint</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span></code> | |
979 | </p> | |
980 | </td> | |
981 | </tr> | |
982 | </tbody> | |
983 | </table></div> | |
984 | <p> | |
985 | ||
986 | </p> | |
987 | <pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</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">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span> | |
988 | <span class="keyword">bool</span> <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</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> | |
989 | <span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> | |
990 | <span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> | |
991 | </pre> | |
992 | <p> | |
993 | </p> | |
994 | </div> | |
995 | <p> | |
996 | <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span> | |
997 | </p> | |
998 | <div class="informaltable"><table class="table"> | |
999 | <colgroup><col></colgroup> | |
1000 | <thead><tr></tr></thead> | |
1001 | <tbody> | |
1002 | <tr><td> | |
1003 | <p> | |
1004 | <a class="link" href="symmetric_difference.html" title="Symmetric Difference"><span class="emphasis"><em><span class="bold"><strong>Symmetric difference</strong></span></em></span></a> | |
1005 | </p> | |
1006 | </td></tr> | |
1007 | <tr><td> | |
1008 | <p> | |
1009 | <a class="link" href="subtraction.html" title="Subtraction"><span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span></a> | |
1010 | </p> | |
1011 | </td></tr> | |
1012 | <tr><td> | |
1013 | <p> | |
1014 | <a class="link" href="addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span></a> | |
1015 | </p> | |
1016 | </td></tr> | |
1017 | </tbody> | |
1018 | </table></div> | |
1019 | <p> | |
1020 | <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span> | |
1021 | </p> | |
1022 | <div class="informaltable"><table class="table"> | |
1023 | <colgroup><col></colgroup> | |
1024 | <thead><tr></tr></thead> | |
1025 | <tbody> | |
1026 | <tr><td> | |
1027 | <p> | |
1028 | <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function | |
1029 | Synopsis</strong></span></em></span></a> | |
1030 | </p> | |
1031 | </td></tr> | |
1032 | <tr><td> | |
1033 | <p> | |
1034 | <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a> | |
1035 | </p> | |
1036 | </td></tr> | |
1037 | </tbody> | |
1038 | </table></div> | |
1039 | </div> | |
1040 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
1041 | <td align="left"></td> | |
1042 | <td align="right"><div class="copyright-footer">Copyright © 2007 -2010 Joachim Faulhaber<br>Copyright © 1999 -2006 Cortex Software GmbH<p> | |
1043 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
1044 | 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>) | |
1045 | </p> | |
1046 | </div></td> | |
1047 | </tr></table> | |
1048 | <hr> | |
1049 | <div class="spirit-nav"> | |
1050 | <a accesskey="p" href="erasure.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="symmetric_difference.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> | |
1051 | </div> | |
1052 | </body> | |
1053 | </html> |