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  26 <div class="titlepage"><div><div><h5 class="title">
  27 <a name="geometry.reference.algorithms.union_.union__4_with_strategy"></a><a class="link" href="union__4_with_strategy.html" title="union_ (with strategy)">union_
  28           (with strategy)</a>
  29 </h5></div></div></div>
  30 <p>
  31             <a class="indexterm" name="idp105553440"></a>
  32 Combines two geometries which each other.
  33           </p>
  34 <h6>
  35 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h0"></a>
  36             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.description"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.description">Description</a>
  37           </h6>
  38 <p>
  39             The free function union calculates the spatial set theoretic union of
  40             two geometries.
  41           </p>
  42 <h6>
  43 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h1"></a>
  44             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.synopsis"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.synopsis">Synopsis</a>
  45           </h6>
  46 <p>
  47 </p>
  48 <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">,</span> <span class="keyword">typename</span> <span class="identifier">Strategy</span><span class="special">&gt;</span>
  49 <span class="keyword">void</span> <span class="identifier">union_</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>
  50             <span class="identifier">Strategy</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">strategy</span><span class="special">)</span></pre>
  51 <p>
  52           </p>
  53 <h6>
  54 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h2"></a>
  55             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.parameters"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.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 <tr>
 155 <td>
 156                     <p>
 157                       Strategy const &amp;
 158                     </p>
 159                   </td>
 160 <td>
 161                     <p>
 162                       Any type fulfilling a Union_ Strategy Concept
 163                     </p>
 164                   </td>
 165 <td>
 166                     <p>
 167                       strategy
 168                     </p>
 169                   </td>
 170 <td>
 171                     <p>
 172                       The strategy which will be used for union_ calculations
 173                     </p>
 174                   </td>
 175 </tr>
 176 </tbody>
 177 </table></div>
 178 <h6>
 179 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h3"></a>
 180             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.header"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.header">Header</a>
 181           </h6>
 182 <p>
 183             Either
 184           </p>
 185 <p>
 186             <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>
 187           </p>
 188 <p>
 189             Or
 190           </p>
 191 <p>
 192             <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="keyword">union</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
 193           </p>
 194 <h6>
 195 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h4"></a>
 196             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.conformance"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.conformance">Conformance</a>
 197           </h6>
 198 <p>
 199             The function union implements function Union from the <a href="http://www.opengeospatial.org/standards/sfa" target="_top">OGC
 200             Simple Feature Specification</a>.
 201           </p>
 202 <div class="note"><table border="0" summary="Note">
 203 <tr>
 204 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
 205 <th align="left">Note</th>
 206 </tr>
 207 <tr><td align="left" valign="top"><p>
 208               Boost.Geometry adds an underscore to avoid using the <code class="computeroutput"><span class="keyword">union</span></code> keyword
 209             </p></td></tr>
 210 </table></div>
 211 <h6>
 212 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h5"></a>
 213             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.behavior"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.behavior">Behavior</a>
 214           </h6>
 215 <div class="informaltable"><table class="table">
 216 <colgroup>
 217 <col>
 218 <col>
 219 </colgroup>
 220 <thead><tr>
 221 <th>
 222                     <p>
 223                       Case
 224                     </p>
 225                   </th>
 226 <th>
 227                     <p>
 228                       Behavior
 229                     </p>
 230                   </th>
 231 </tr></thead>
 232 <tbody>
 233 <tr>
 234 <td>
 235                     <p>
 236                       GeometryOut is a Point
 237                     </p>
 238                   </td>
 239 <td>
 240                     <p>
 241                       Calculates union linestrings of input (multi)points
 242                     </p>
 243                   </td>
 244 </tr>
 245 <tr>
 246 <td>
 247                     <p>
 248                       GeometryOut is a Linestring
 249                     </p>
 250                   </td>
 251 <td>
 252                     <p>
 253                       Calculates union linestrings of input (multi)linestrings
 254                     </p>
 255                   </td>
 256 </tr>
 257 <tr>
 258 <td>
 259                     <p>
 260                       GeometryOut is a Polygon
 261                     </p>
 262                   </td>
 263 <td>
 264                     <p>
 265                       Calculates union polygons of input (multi)polygons and/or boxes
 266                     </p>
 267                   </td>
 268 </tr>
 269 </tbody>
 270 </table></div>
 271 <div class="note"><table border="0" summary="Note">
 272 <tr>
 273 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
 274 <th align="left">Note</th>
 275 </tr>
 276 <tr><td align="left" valign="top"><p>
 277               Check the <a class="link" href="../../concepts/concept_polygon.html" title="Polygon Concept">Polygon
 278               Concept</a> for the rules that polygon input for this algorithm
 279               should fulfill
 280             </p></td></tr>
 281 </table></div>
 282 <h6>
 283 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h6"></a>
 284             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.example"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.example">Example</a>
 285           </h6>
 286 <p>
 287             Shows how to get a united geometry of two polygons
 288           </p>
 289 <p>
 290 </p>
 291 <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
 292 <span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">vector</span><span class="special">&gt;</span>
 293
 294 <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>
 295 <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>
 296 <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>
 297
 298 <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>
 299
 300
 301 <span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
 302 <span class="special">{</span>
 303     <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>
 304
 305     <span class="identifier">polygon</span> <span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">;</span>
 306
 307     <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>
 308         <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>
 309             <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>
 310
 311     <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>
 312         <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>
 313
 314     <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</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>
 315     <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">union_</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>
 316
 317     <span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span>
 318     <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>
 319     <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>
 320     <span class="special">{</span>
 321         <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>
 322     <span class="special">}</span>
 323
 324
 325     <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
 326 <span class="special">}</span>
 327 </pre>
 328 <p>
 329           </p>
 330 <p>
 331             Output:
 332           </p>
 333 <pre class="programlisting">green || blue:
 334 0: 5.64795
 335
 336 <img src="../../../../img/algorithms/union.png" alt="union">
 337
 338 </pre>
 339 <h6>
 340 <a name="geometry.reference.algorithms.union_.union__4_with_strategy.h7"></a>
 341             <span class="phrase"><a name="geometry.reference.algorithms.union_.union__4_with_strategy.see_also"></a></span><a class="link" href="union__4_with_strategy.html#geometry.reference.algorithms.union_.union__4_with_strategy.see_also">See
 342             also</a>
 343           </h6>
 344 <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
 345 <li class="listitem">
 346                 <a class="link" href="../intersection.html" title="intersection">intersection</a>
 347               </li>
 348 <li class="listitem">
 349                 <a class="link" href="../difference.html" title="difference">difference</a>
 350               </li>
 351 <li class="listitem">
 352                 <a class="link" href="../sym_difference.html" title="sym_difference">sym_difference
 353                 (symmetric difference)</a>
 354               </li>
 355 </ul></div>
 356 </div>
 357 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 358 <td align="left"></td>
 359 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2017 Barend
 360       Gehrels, Bruno Lalande, Mateusz Loskot, Adam Wulkiewicz, Oracle and/or its
 361       affiliates<p>
 362         Distributed under the Boost Software License, Version 1.0. (See accompanying
 363         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>)
 364       </p>
 365 </div></td>
 366 </tr></table>
 367 <hr>
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