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24</div>
25<div class="section">
26<div class="titlepage"><div><div><h5 class="title">
27<a name="geometry.reference.algorithms.difference.difference_3"></a><a class="link" href="difference_3.html" title="difference">difference</a>
28</h5></div></div></div>
29<p>
30            <a class="indexterm" name="idm45635701356752"></a>
31          </p>
32<h6>
33<a name="geometry.reference.algorithms.difference.difference_3.h0"></a>
34            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.description"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.description">Description</a>
35          </h6>
36<p>
37            Calculate the difference of two geometries
38          </p>
39<p>
40            The free function difference calculates the spatial set theoretic difference
41            of two geometries.
42          </p>
43<h6>
44<a name="geometry.reference.algorithms.difference.difference_3.h1"></a>
45            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.synopsis"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.synopsis">Synopsis</a>
46          </h6>
47<p>
48</p>
49<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Geometry1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Geometry2</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Collection</span><span class="special">&gt;</span>
50<span class="keyword">void</span> <span class="identifier">difference</span><span class="special">(</span><span class="identifier">Geometry1</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">geometry1</span><span class="special">,</span> <span class="identifier">Geometry2</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">geometry2</span><span class="special">,</span> <span class="identifier">Collection</span> <span class="special">&amp;</span> <span class="identifier">output_collection</span><span class="special">)</span></pre>
51<p>
52          </p>
53<h6>
54<a name="geometry.reference.algorithms.difference.difference_3.h2"></a>
55            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.parameters"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.parameters">Parameters</a>
56          </h6>
57<div class="informaltable"><table class="table">
58<colgroup>
59<col>
60<col>
61<col>
62<col>
63</colgroup>
64<thead><tr>
65<th>
66                    <p>
67                      Type
68                    </p>
69                  </th>
70<th>
71                    <p>
72                      Concept
73                    </p>
74                  </th>
75<th>
76                    <p>
77                      Name
78                    </p>
79                  </th>
80<th>
81                    <p>
82                      Description
83                    </p>
84                  </th>
85</tr></thead>
86<tbody>
87<tr>
88<td>
89                    <p>
90                      Geometry1 const &amp;
91                    </p>
92                  </td>
93<td>
94                    <p>
95                      Any type fulfilling a Geometry Concept
96                    </p>
97                  </td>
98<td>
99                    <p>
100                      geometry1
101                    </p>
102                  </td>
103<td>
104                    <p>
105                      A model of the specified concept
106                    </p>
107                  </td>
108</tr>
109<tr>
110<td>
111                    <p>
112                      Geometry2 const &amp;
113                    </p>
114                  </td>
115<td>
116                    <p>
117                      Any type fulfilling a Geometry Concept
118                    </p>
119                  </td>
120<td>
121                    <p>
122                      geometry2
123                    </p>
124                  </td>
125<td>
126                    <p>
127                      A model of the specified concept
128                    </p>
129                  </td>
130</tr>
131<tr>
132<td>
133                    <p>
134                      Collection &amp;
135                    </p>
136                  </td>
137<td>
138                    <p>
139                      output collection, either a multi-geometry, or a std::vector&lt;Geometry&gt;
140                      / std::deque&lt;Geometry&gt; etc
141                    </p>
142                  </td>
143<td>
144                    <p>
145                      output_collection
146                    </p>
147                  </td>
148<td>
149                    <p>
150                      the output collection
151                    </p>
152                  </td>
153</tr>
154</tbody>
155</table></div>
156<h6>
157<a name="geometry.reference.algorithms.difference.difference_3.h3"></a>
158            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.header"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.header">Header</a>
159          </h6>
160<p>
161            Either
162          </p>
163<p>
164            <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
165          </p>
166<p>
167            Or
168          </p>
169<p>
170            <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">algorithms</span><span class="special">/</span><span class="identifier">difference</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
171          </p>
172<h6>
173<a name="geometry.reference.algorithms.difference.difference_3.h4"></a>
174            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.conformance"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.conformance">Conformance</a>
175          </h6>
176<p>
177            The function difference implements function Difference from the <a href="http://www.opengeospatial.org/standards/sfa" target="_top">OGC Simple Feature
178            Specification</a>.
179          </p>
180<h6>
181<a name="geometry.reference.algorithms.difference.difference_3.h5"></a>
182            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.behavior"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.behavior">Behavior</a>
183          </h6>
184<div class="informaltable"><table class="table">
185<colgroup>
186<col>
187<col>
188</colgroup>
189<thead><tr>
190<th>
191                    <p>
192                      Case
193                    </p>
194                  </th>
195<th>
196                    <p>
197                      Behavior
198                    </p>
199                  </th>
200</tr></thead>
201<tbody>
202<tr>
203<td>
204                    <p>
205                      areal (e.g. polygon)
206                    </p>
207                  </td>
208<td>
209                    <p>
210                      All combinations of: box, ring, polygon, multi_polygon
211                    </p>
212                  </td>
213</tr>
214<tr>
215<td>
216                    <p>
217                      linear (e.g. linestring) / areal (e.g. polygon)
218                    </p>
219                  </td>
220<td>
221                    <p>
222                      A combinations of a (multi) linestring with a (multi) polygon
223                      results in a collection of linestrings
224                    </p>
225                  </td>
226</tr>
227<tr>
228<td>
229                    <p>
230                      linear (e.g. linestring)
231                    </p>
232                  </td>
233<td>
234                    <p>
235                      All combinations of: linestring, multi_linestring; results
236                      in a collection of linestrings
237                    </p>
238                  </td>
239</tr>
240<tr>
241<td>
242                    <p>
243                      pointlike (e.g. point)
244                    </p>
245                  </td>
246<td>
247                    <p>
248                      All combinations of: point, multi_point; results in a collection
249                      of points
250                    </p>
251                  </td>
252</tr>
253<tr>
254<td>
255                    <p>
256                      Other geometries
257                    </p>
258                  </td>
259<td>
260                    <p>
261                      Not yet supported in this version
262                    </p>
263                  </td>
264</tr>
265<tr>
266<td>
267                    <p>
268                      Spherical
269                    </p>
270                  </td>
271<td>
272                    <p>
273                      Not yet supported in this version
274                    </p>
275                  </td>
276</tr>
277<tr>
278<td>
279                    <p>
280                      Three dimensional
281                    </p>
282                  </td>
283<td>
284                    <p>
285                      Not yet supported in this version
286                    </p>
287                  </td>
288</tr>
289</tbody>
290</table></div>
291<div class="note"><table border="0" summary="Note">
292<tr>
293<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
294<th align="left">Note</th>
295</tr>
296<tr><td align="left" valign="top"><p>
297              Check the <a class="link" href="../../concepts/concept_polygon.html" title="Polygon Concept">Polygon
298              Concept</a> for the rules that polygon input for this algorithm
299              should fulfill
300            </p></td></tr>
301</table></div>
302<h6>
303<a name="geometry.reference.algorithms.difference.difference_3.h6"></a>
304            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.example"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.example">Example</a>
305          </h6>
306<p>
307            Shows how to subtract one polygon from another polygon
308          </p>
309<p>
310</p>
311<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
312<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">list</span><span class="special">&gt;</span>
313
314<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
315<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">/</span><span class="identifier">point_xy</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
316<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">/</span><span class="identifier">polygon</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
317
318<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">foreach</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
319
320
321<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
322<span class="special">{</span>
323    <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">polygon</span><span class="special">&lt;</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">d2</span><span class="special">::</span><span class="identifier">point_xy</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">polygon</span><span class="special">;</span>
324
325    <span class="identifier">polygon</span> <span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">;</span>
326
327    <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">read_wkt</span><span class="special">(</span>
328        <span class="string">"POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 3,5.3 2.6,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3)"</span>
329            <span class="string">"(4.0 2.0, 4.2 1.4, 4.8 1.9, 4.4 2.2, 4.0 2.0))"</span><span class="special">,</span> <span class="identifier">green</span><span class="special">);</span>
330
331    <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">read_wkt</span><span class="special">(</span>
332        <span class="string">"POLYGON((4.0 -0.5 , 3.5 1.0 , 2.0 1.5 , 3.5 2.0 , 4.0 3.5 , 4.5 2.0 , 6.0 1.5 , 4.5 1.0 , 4.0 -0.5))"</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">);</span>
333
334    <span class="identifier">std</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;</span> <span class="identifier">output</span><span class="special">;</span>
335    <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">difference</span><span class="special">(</span><span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">,</span> <span class="identifier">output</span><span class="special">);</span>
336
337    <span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span>
338    <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"green - blue:"</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
339    <span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">polygon</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">output</span><span class="special">)</span>
340    <span class="special">{</span>
341        <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">i</span><span class="special">++</span> <span class="special">&lt;&lt;</span> <span class="string">": "</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">p</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
342    <span class="special">}</span>
343
344
345    <span class="identifier">output</span><span class="special">.</span><span class="identifier">clear</span><span class="special">();</span>
346    <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">difference</span><span class="special">(</span><span class="identifier">blue</span><span class="special">,</span> <span class="identifier">green</span><span class="special">,</span> <span class="identifier">output</span><span class="special">);</span>
347
348    <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span>
349    <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"blue - green:"</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
350    <span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">polygon</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">output</span><span class="special">)</span>
351    <span class="special">{</span>
352        <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">i</span><span class="special">++</span> <span class="special">&lt;&lt;</span> <span class="string">": "</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">p</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
353    <span class="special">}</span>
354
355
356    <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
357<span class="special">}</span>
358</pre>
359<p>
360          </p>
361<p>
362            Output:
363          </p>
364<pre class="programlisting">green - blue:
3650: 0.02375
3661: 0.542951
3672: 0.0149697
3683: 0.226855
3694: 0.839424
370
371<img src="../../../../img/algorithms/difference_a.png" alt="difference_a">
372
373blue - green:
3740: 0.525154
3751: 0.015
3762: 0.181136
3773: 0.128798
3784: 0.340083
3795: 0.307778
380
381<img src="../../../../img/algorithms/difference_b.png" alt="difference_b">
382</pre>
383<h6>
384<a name="geometry.reference.algorithms.difference.difference_3.h7"></a>
385            <span class="phrase"><a name="geometry.reference.algorithms.difference.difference_3.see_also"></a></span><a class="link" href="difference_3.html#geometry.reference.algorithms.difference.difference_3.see_also">See
386            also</a>
387          </h6>
388<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
389<li class="listitem">
390                <a class="link" href="../sym_difference.html" title="sym_difference">sym_difference
391                (symmetric difference)</a>
392              </li>
393<li class="listitem">
394                <a class="link" href="../intersection.html" title="intersection">intersection</a>
395              </li>
396<li class="listitem">
397                <a class="link" href="../union_.html" title="union_">union</a>
398              </li>
399</ul></div>
400</div>
401<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
402<td align="left"></td>
403<td align="right"><div class="copyright-footer">Copyright © 2009-2019 Barend Gehrels, Bruno Lalande, Mateusz Loskot, Adam
404      Wulkiewicz, Oracle and/or its affiliates<p>
405        Distributed under the Boost Software License, Version 1.0. (See accompanying
406        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>)
407      </p>
408</div></td>
409</tr></table>
410<hr>
411<div class="spirit-nav">
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