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  26 <div class="titlepage"><div><div><h5 class="title">
  27 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3"></a><a class="link" href="sym_difference_3.html" title="sym_difference">sym_difference</a>
  28 </h5></div></div></div>
  29 <p>
  30             <a class="indexterm" name="idp104752384"></a>
  31 Calculate the symmetric difference of two geometries.
  32           </p>
  33 <h6>
  34 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h0"></a>
  35             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.description"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.description">Description</a>
  36           </h6>
  37 <p>
  38             The free function symmetric difference calculates the spatial set theoretic
  39             symmetric difference (XOR) of two geometries.
  40           </p>
  41 <h6>
  42 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h1"></a>
  43             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.synopsis"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.synopsis">Synopsis</a>
  44           </h6>
  45 <p>
  46 </p>
  47 <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>
  48 <span class="keyword">void</span> <span class="identifier">sym_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>
  49 <p>
  50           </p>
  51 <h6>
  52 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h2"></a>
  53             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.parameters"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.parameters">Parameters</a>
  54           </h6>
  55 <div class="informaltable"><table class="table">
  56 <colgroup>
  57 <col>
  58 <col>
  59 <col>
  60 <col>
  61 </colgroup>
  62 <thead><tr>
  63 <th>
  64                     <p>
  65                       Type
  66                     </p>
  67                   </th>
  68 <th>
  69                     <p>
  70                       Concept
  71                     </p>
  72                   </th>
  73 <th>
  74                     <p>
  75                       Name
  76                     </p>
  77                   </th>
  78 <th>
  79                     <p>
  80                       Description
  81                     </p>
  82                   </th>
  83 </tr></thead>
  84 <tbody>
  85 <tr>
  86 <td>
  87                     <p>
  88                       Geometry1 const &amp;
  89                     </p>
  90                   </td>
  91 <td>
  92                     <p>
  93                       Any type fulfilling a Geometry Concept
  94                     </p>
  95                   </td>
  96 <td>
  97                     <p>
  98                       geometry1
  99                     </p>
 100                   </td>
 101 <td>
 102                     <p>
 103                       A model of the specified concept
 104                     </p>
 105                   </td>
 106 </tr>
 107 <tr>
 108 <td>
 109                     <p>
 110                       Geometry2 const &amp;
 111                     </p>
 112                   </td>
 113 <td>
 114                     <p>
 115                       Any type fulfilling a Geometry Concept
 116                     </p>
 117                   </td>
 118 <td>
 119                     <p>
 120                       geometry2
 121                     </p>
 122                   </td>
 123 <td>
 124                     <p>
 125                       A model of the specified concept
 126                     </p>
 127                   </td>
 128 </tr>
 129 <tr>
 130 <td>
 131                     <p>
 132                       Collection &amp;
 133                     </p>
 134                   </td>
 135 <td>
 136                     <p>
 137                       output collection, either a multi-geometry, or a std::vector&lt;Geometry&gt;
 138                       / std::deque&lt;Geometry&gt; etc
 139                     </p>
 140                   </td>
 141 <td>
 142                     <p>
 143                       output_collection
 144                     </p>
 145                   </td>
 146 <td>
 147                     <p>
 148                       the output collection
 149                     </p>
 150                   </td>
 151 </tr>
 152 </tbody>
 153 </table></div>
 154 <h6>
 155 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h3"></a>
 156             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.header"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.header">Header</a>
 157           </h6>
 158 <p>
 159             Either
 160           </p>
 161 <p>
 162             <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>
 163           </p>
 164 <p>
 165             Or
 166           </p>
 167 <p>
 168             <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">sym_difference</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
 169           </p>
 170 <h6>
 171 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h4"></a>
 172             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.conformance"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.conformance">Conformance</a>
 173           </h6>
 174 <p>
 175             The function sym_difference implements function SymDifference from the
 176             <a href="http://www.opengeospatial.org/standards/sfa" target="_top">OGC Simple Feature
 177             Specification</a>.
 178           </p>
 179 <h6>
 180 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h5"></a>
 181             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.behavior"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.behavior">Behavior</a>
 182           </h6>
 183 <div class="informaltable"><table class="table">
 184 <colgroup>
 185 <col>
 186 <col>
 187 </colgroup>
 188 <thead><tr>
 189 <th>
 190                     <p>
 191                       Case
 192                     </p>
 193                   </th>
 194 <th>
 195                     <p>
 196                       Behavior
 197                     </p>
 198                   </th>
 199 </tr></thead>
 200 <tbody>
 201 <tr>
 202 <td>
 203                     <p>
 204                       areal (e.g. polygon)
 205                     </p>
 206                   </td>
 207 <td>
 208                     <p>
 209                       All combinations of: box, ring, polygon, multi_polygon
 210                     </p>
 211                   </td>
 212 </tr>
 213 <tr>
 214 <td>
 215                     <p>
 216                       linear (e.g. linestring) / areal (e.g. polygon)
 217                     </p>
 218                   </td>
 219 <td>
 220                     <p>
 221                       A combinations of a (multi) linestring with a (multi) polygon
 222                       results in a collection of linestrings
 223                     </p>
 224                   </td>
 225 </tr>
 226 <tr>
 227 <td>
 228                     <p>
 229                       linear (e.g. linestring)
 230                     </p>
 231                   </td>
 232 <td>
 233                     <p>
 234                       All combinations of: linestring, multi_linestring; results
 235                       in a collection of linestrings
 236                     </p>
 237                   </td>
 238 </tr>
 239 <tr>
 240 <td>
 241                     <p>
 242                       pointlike (e.g. point)
 243                     </p>
 244                   </td>
 245 <td>
 246                     <p>
 247                       All combinations of: point, multi_point; results in a collection
 248                       of points
 249                     </p>
 250                   </td>
 251 </tr>
 252 <tr>
 253 <td>
 254                     <p>
 255                       Other geometries
 256                     </p>
 257                   </td>
 258 <td>
 259                     <p>
 260                       Not yet supported in this version
 261                     </p>
 262                   </td>
 263 </tr>
 264 <tr>
 265 <td>
 266                     <p>
 267                       Spherical
 268                     </p>
 269                   </td>
 270 <td>
 271                     <p>
 272                       Not yet supported in this version
 273                     </p>
 274                   </td>
 275 </tr>
 276 <tr>
 277 <td>
 278                     <p>
 279                       Three dimensional
 280                     </p>
 281                   </td>
 282 <td>
 283                     <p>
 284                       Not yet supported in this version
 285                     </p>
 286                   </td>
 287 </tr>
 288 </tbody>
 289 </table></div>
 290 <div class="note"><table border="0" summary="Note">
 291 <tr>
 292 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
 293 <th align="left">Note</th>
 294 </tr>
 295 <tr><td align="left" valign="top"><p>
 296               Check the <a class="link" href="../../concepts/concept_polygon.html" title="Polygon Concept">Polygon
 297               Concept</a> for the rules that polygon input for this algorithm
 298               should fulfill
 299             </p></td></tr>
 300 </table></div>
 301 <h6>
 302 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h6"></a>
 303             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.example"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.example">Example</a>
 304           </h6>
 305 <p>
 306             Shows how to calculate the symmetric difference (XOR) of two polygons
 307           </p>
 308 <p>
 309 </p>
 310 <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
 311
 312 <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>
 313 <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>
 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">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>
 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">multi_polygon</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
 316
 317 <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>
 318
 319
 320 <span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
 321 <span class="special">{</span>
 322     <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>
 323
 324     <span class="identifier">polygon</span> <span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">;</span>
 325
 326     <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>
 327         <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>
 328             <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>
 329
 330     <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>
 331         <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>
 332
 333     <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">multi_polygon</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;</span> <span class="identifier">multi</span><span class="special">;</span>
 334
 335     <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">sym_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">multi</span><span class="special">);</span>
 336
 337     <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span>
 338         <span class="special">&lt;&lt;</span> <span class="string">"green XOR blue:"</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span>
 339         <span class="special">&lt;&lt;</span> <span class="string">"total: "</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">multi</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>
 340     <span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span>
 341     <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">multi</span><span class="special">)</span>
 342     <span class="special">{</span>
 343         <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>
 344     <span class="special">}</span>
 345
 346
 347     <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
 348 <span class="special">}</span>
 349 </pre>
 350 <p>
 351           </p>
 352 <p>
 353             Output:
 354           </p>
 355 <pre class="programlisting">green XOR blue:
 356 total: 3.1459
 357 0: 0.02375
 358 1: 0.542951
 359 2: 0.0149697
 360 3: 0.226855
 361 4: 0.839424
 362 5: 0.525154
 363 6: 0.015
 364 7: 0.181136
 365 8: 0.128798
 366 9: 0.340083
 367 10: 0.307778
 368
 369 <img src="../../../../img/algorithms/sym_difference.png" alt="sym_difference">
 370
 371 </pre>
 372 <h6>
 373 <a name="geometry.reference.algorithms.sym_difference.sym_difference_3.h7"></a>
 374             <span class="phrase"><a name="geometry.reference.algorithms.sym_difference.sym_difference_3.see_also"></a></span><a class="link" href="sym_difference_3.html#geometry.reference.algorithms.sym_difference.sym_difference_3.see_also">See
 375             also</a>
 376           </h6>
 377 <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
 378 <li class="listitem">
 379                 <a class="link" href="../difference.html" title="difference">difference</a>
 380               </li>
 381 <li class="listitem">
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