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  25 <div class="section">
  26 <div class="titlepage"><div><div><h4 class="title">
  27 <a name="geometry.reference.models.model_polygon"></a><a class="link" href="model_polygon.html" title="model::polygon">model::polygon</a>
  28 </h4></div></div></div>
  29 <p>
  30           <a class="indexterm" name="idm46186983184912"></a><a class="indexterm" name="idm46186983184224"></a>
  31 The polygon contains an outer ring and zero or more inner rings.
  32         </p>
  33 <h6>
  34 <a name="geometry.reference.models.model_polygon.h0"></a>
  35           <span class="phrase"><a name="geometry.reference.models.model_polygon.model_of"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.model_of">Model
  36           of</a>
  37         </h6>
  38 <p>
  39           <a class="link" href="../concepts/concept_polygon.html" title="Polygon Concept">Polygon Concept</a>
  40         </p>
  41 <h6>
  42 <a name="geometry.reference.models.model_polygon.h1"></a>
  43           <span class="phrase"><a name="geometry.reference.models.model_polygon.synopsis"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.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">Point</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ClockWise</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">Closed</span><span class="special">,</span> <span class="keyword">template</span><span class="special">&lt;</span> <span class="keyword">typename</span><span class="special">,</span> <span class="keyword">typename</span> <span class="special">&gt;</span> <span class="keyword">class</span> <span class="identifier">PointList</span><span class="special">,</span>
  48          <span class="keyword">template</span><span class="special">&lt;</span> <span class="keyword">typename</span><span class="special">,</span> <span class="keyword">typename</span> <span class="special">&gt;</span> <span class="keyword">class</span> <span class="identifier">RingList</span><span class="special">,</span> <span class="keyword">template</span><span class="special">&lt;</span> <span class="keyword">typename</span> <span class="special">&gt;</span> <span class="keyword">class</span> <span class="identifier">PointAlloc</span><span class="special">,</span> <span class="keyword">template</span><span class="special">&lt;</span> <span class="keyword">typename</span> <span class="special">&gt;</span> <span class="keyword">class</span> <span class="identifier">RingAlloc</span><span class="special">&gt;</span>
  49 <span class="keyword">class</span> <span class="identifier">model</span><span class="special">::</span><span class="identifier">polygon</span>
  50 <span class="special">{</span>
  51   <span class="comment">// ...</span>
  52 <span class="special">};</span>
  53 </pre>
  54 <p>
  55         </p>
  56 <h6>
  57 <a name="geometry.reference.models.model_polygon.h2"></a>
  58           <span class="phrase"><a name="geometry.reference.models.model_polygon.template_parameter_s_"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.template_parameter_s_">Template
  59           parameter(s)</a>
  60         </h6>
  61 <div class="informaltable"><table class="table">
  62 <colgroup>
  63 <col>
  64 <col>
  65 <col>
  66 </colgroup>
  67 <thead><tr>
  68 <th>
  69                   <p>
  70                     Parameter
  71                   </p>
  72                 </th>
  73 <th>
  74                   <p>
  75                     Default
  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                     typename Point
  89                   </p>
  90                 </td>
  91 <td>
  92                 </td>
  93 <td>
  94                   <p>
  95                     point type
  96                   </p>
  97                 </td>
  98 </tr>
  99 <tr>
 100 <td>
 101                   <p>
 102                     bool ClockWise
 103                   </p>
 104                 </td>
 105 <td>
 106                   <p>
 107                     true
 108                   </p>
 109                 </td>
 110 <td>
 111                   <p>
 112                     true for clockwise direction, false for CounterClockWise direction
 113                   </p>
 114                 </td>
 115 </tr>
 116 <tr>
 117 <td>
 118                   <p>
 119                     bool Closed
 120                   </p>
 121                 </td>
 122 <td>
 123                   <p>
 124                     true
 125                   </p>
 126                 </td>
 127 <td>
 128                   <p>
 129                     true for closed polygons (last point == first point), false open
 130                     points
 131                   </p>
 132                 </td>
 133 </tr>
 134 <tr>
 135 <td>
 136                   <p>
 137                     template&lt; typename, typename &gt; class PointList
 138                   </p>
 139                 </td>
 140 <td>
 141                   <p>
 142                     std::vector
 143                   </p>
 144                 </td>
 145 <td>
 146                   <p>
 147                     container type for points, for example std::vector, std::deque
 148                   </p>
 149                 </td>
 150 </tr>
 151 <tr>
 152 <td>
 153                   <p>
 154                     template&lt; typename, typename &gt; class RingList
 155                   </p>
 156                 </td>
 157 <td>
 158                   <p>
 159                     std::vector
 160                   </p>
 161                 </td>
 162 <td>
 163                   <p>
 164                     container type for inner rings, for example std::vector, std::deque
 165                   </p>
 166                 </td>
 167 </tr>
 168 <tr>
 169 <td>
 170                   <p>
 171                     template&lt; typename &gt; class PointAlloc
 172                   </p>
 173                 </td>
 174 <td>
 175                   <p>
 176                     std::allocator
 177                   </p>
 178                 </td>
 179 <td>
 180                   <p>
 181                     container-allocator-type, for the points
 182                   </p>
 183                 </td>
 184 </tr>
 185 <tr>
 186 <td>
 187                   <p>
 188                     template&lt; typename &gt; class RingAlloc
 189                   </p>
 190                 </td>
 191 <td>
 192                   <p>
 193                     std::allocator
 194                   </p>
 195                 </td>
 196 <td>
 197                   <p>
 198                     container-allocator-type, for the rings
 199                   </p>
 200                 </td>
 201 </tr>
 202 </tbody>
 203 </table></div>
 204 <h6>
 205 <a name="geometry.reference.models.model_polygon.h3"></a>
 206           <span class="phrase"><a name="geometry.reference.models.model_polygon.constructor_s_"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.constructor_s_">Constructor(s)</a>
 207         </h6>
 208 <div class="informaltable"><table class="table">
 209 <colgroup>
 210 <col>
 211 <col>
 212 <col>
 213 </colgroup>
 214 <thead><tr>
 215 <th>
 216                   <p>
 217                     Function
 218                   </p>
 219                 </th>
 220 <th>
 221                   <p>
 222                     Description
 223                   </p>
 224                 </th>
 225 <th>
 226                   <p>
 227                     Parameters
 228                   </p>
 229                 </th>
 230 </tr></thead>
 231 <tbody>
 232 <tr>
 233 <td>
 234                   <p>
 235 </p>
 236 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">polygon</span><span class="special">()</span></pre>
 237 <p>
 238                   </p>
 239                 </td>
 240 <td>
 241                   <p>
 242                     Default constructor, creating an empty polygon.
 243                   </p>
 244                 </td>
 245 <td>
 246                 </td>
 247 </tr>
 248 <tr>
 249 <td>
 250                   <p>
 251 </p>
 252 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">polygon</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">initializer_list</span><span class="special">&lt;</span> <span class="identifier">ring_type</span> <span class="special">&gt;</span> <span class="identifier">l</span><span class="special">)</span></pre>
 253 <p>
 254                   </p>
 255                 </td>
 256 <td>
 257                   <p>
 258                     Constructor taking std::initializer_list, filling the polygon.
 259                   </p>
 260                 </td>
 261 <td>
 262                   <p>
 263                     <span class="bold"><strong>std::initializer_list&lt; ring_type &gt;</strong></span>:
 264                     <span class="emphasis"><em>l</em></span>:
 265                   </p>
 266                 </td>
 267 </tr>
 268 </tbody>
 269 </table></div>
 270 <h6>
 271 <a name="geometry.reference.models.model_polygon.h4"></a>
 272           <span class="phrase"><a name="geometry.reference.models.model_polygon.member_function_s_"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.member_function_s_">Member
 273           Function(s)</a>
 274         </h6>
 275 <div class="informaltable"><table class="table">
 276 <colgroup>
 277 <col>
 278 <col>
 279 <col>
 280 <col>
 281 </colgroup>
 282 <thead><tr>
 283 <th>
 284                   <p>
 285                     Function
 286                   </p>
 287                 </th>
 288 <th>
 289                   <p>
 290                     Description
 291                   </p>
 292                 </th>
 293 <th>
 294                   <p>
 295                     Parameters
 296                   </p>
 297                 </th>
 298 <th>
 299                   <p>
 300                     Returns
 301                   </p>
 302                 </th>
 303 </tr></thead>
 304 <tbody>
 305 <tr>
 306 <td>
 307                   <p>
 308 </p>
 309 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">ring_type</span> <span class="keyword">const</span>  <span class="special">&amp;</span> <span class="identifier">outer</span><span class="special">()</span></pre>
 310 <p>
 311                   </p>
 312                 </td>
 313 <td>
 314                 </td>
 315 <td>
 316                 </td>
 317 <td>
 318                 </td>
 319 </tr>
 320 <tr>
 321 <td>
 322                   <p>
 323 </p>
 324 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">inner_container_type</span> <span class="keyword">const</span>  <span class="special">&amp;</span> <span class="identifier">inners</span><span class="special">()</span></pre>
 325 <p>
 326                   </p>
 327                 </td>
 328 <td>
 329                 </td>
 330 <td>
 331                 </td>
 332 <td>
 333                 </td>
 334 </tr>
 335 <tr>
 336 <td>
 337                   <p>
 338 </p>
 339 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">ring_type</span> <span class="special">&amp;</span> <span class="identifier">outer</span><span class="special">()</span></pre>
 340 <p>
 341                   </p>
 342                 </td>
 343 <td>
 344                 </td>
 345 <td>
 346                 </td>
 347 <td>
 348                 </td>
 349 </tr>
 350 <tr>
 351 <td>
 352                   <p>
 353 </p>
 354 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">inner_container_type</span> <span class="special">&amp;</span> <span class="identifier">inners</span><span class="special">()</span></pre>
 355 <p>
 356                   </p>
 357                 </td>
 358 <td>
 359                 </td>
 360 <td>
 361                 </td>
 362 <td>
 363                 </td>
 364 </tr>
 365 <tr>
 366 <td>
 367                   <p>
 368 </p>
 369 <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">void</span> <span class="identifier">clear</span><span class="special">()</span></pre>
 370 <p>
 371                   </p>
 372                 </td>
 373 <td>
 374                   <p>
 375                     Utility method, clears outer and inner rings.
 376                   </p>
 377                 </td>
 378 <td>
 379                 </td>
 380 <td>
 381                 </td>
 382 </tr>
 383 </tbody>
 384 </table></div>
 385 <h6>
 386 <a name="geometry.reference.models.model_polygon.h5"></a>
 387           <span class="phrase"><a name="geometry.reference.models.model_polygon.header"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.header">Header</a>
 388         </h6>
 389 <p>
 390           Either
 391         </p>
 392 <p>
 393           <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">geometries</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
 394         </p>
 395 <p>
 396           Or
 397         </p>
 398 <p>
 399           <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">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></code>
 400         </p>
 401 <h6>
 402 <a name="geometry.reference.models.model_polygon.h6"></a>
 403           <span class="phrase"><a name="geometry.reference.models.model_polygon.examples"></a></span><a class="link" href="model_polygon.html#geometry.reference.models.model_polygon.examples">Examples</a>
 404         </h6>
 405 <p>
 406           Declaration and use of the Boost.Geometry model::polygon, modelling the
 407           Polygon Concept
 408         </p>
 409 <p>
 410 </p>
 411 <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
 412 <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>
 413 <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">geometries</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
 414
 415 <span class="keyword">namespace</span> <span class="identifier">bg</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">;</span>
 416
 417 <span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
 418 <span class="special">{</span>
 419     <span class="keyword">typedef</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">point</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">,</span> <span class="number">2</span><span class="special">,</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">cs</span><span class="special">::</span><span class="identifier">cartesian</span><span class="special">&gt;</span> <span class="identifier">point_t</span><span class="special">;</span>
 420     <span class="keyword">typedef</span> <span class="identifier">bg</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">point_t</span><span class="special">&gt;</span> <span class="identifier">polygon_t</span><span class="special">;</span> <a class="co" name="geometry.reference.models.model_polygon.c0" href="model_polygon.html#geometry.reference.models.model_polygon.c1"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a>
 421
 422     <span class="identifier">polygon_t</span> <span class="identifier">poly1</span><span class="special">;</span> <a class="co" name="geometry.reference.models.model_polygon.c2" href="model_polygon.html#geometry.reference.models.model_polygon.c3"><img src="../../../../../../../doc/src/images/callouts/2.png" alt="2" border="0"></a>
 423
 424 <span class="preprocessor">#if</span> <span class="special">!</span><span class="identifier">defined</span><span class="special">(</span><span class="identifier">BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX</span><span class="special">)</span> <span class="special">\</span>
 425  <span class="special">&amp;&amp;</span> <span class="special">!</span><span class="identifier">defined</span><span class="special">(</span><span class="identifier">BOOST_NO_CXX11_HDR_INITIALIZER_LIST</span><span class="special">)</span>
 426
 427     <span class="identifier">polygon_t</span> <span class="identifier">polygon2</span><span class="special">{{{</span><span class="number">0.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">},</span> <span class="special">{</span><span class="number">0.0</span><span class="special">,</span> <span class="number">5.0</span><span class="special">},</span> <span class="special">{</span><span class="number">5.0</span><span class="special">,</span> <span class="number">5.0</span><span class="special">},</span> <span class="special">{</span><span class="number">5.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">},</span> <span class="special">{</span><span class="number">0.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">}},</span>
 428                        <span class="special">{{</span><span class="number">1.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">},</span> <span class="special">{</span><span class="number">4.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">},</span> <span class="special">{</span><span class="number">4.0</span><span class="special">,</span> <span class="number">4.0</span><span class="special">},</span> <span class="special">{</span><span class="number">1.0</span><span class="special">,</span> <span class="number">4.0</span><span class="special">},</span> <span class="special">{</span><span class="number">1.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">}}};</span> <a class="co" name="geometry.reference.models.model_polygon.c4" href="model_polygon.html#geometry.reference.models.model_polygon.c5"><img src="../../../../../../../doc/src/images/callouts/3.png" alt="3" border="0"></a>
 429
 430 <span class="preprocessor">#endif</span>
 431
 432     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">outer</span><span class="special">(),</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">0.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">));</span> <a class="co" name="geometry.reference.models.model_polygon.c6" href="model_polygon.html#geometry.reference.models.model_polygon.c7"><img src="../../../../../../../doc/src/images/callouts/4.png" alt="4" border="0"></a>
 433     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">outer</span><span class="special">(),</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">0.0</span><span class="special">,</span> <span class="number">5.0</span><span class="special">));</span>
 434     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">outer</span><span class="special">(),</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">5.0</span><span class="special">,</span> <span class="number">5.0</span><span class="special">));</span>
 435     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">outer</span><span class="special">(),</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">5.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">));</span>
 436     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">outer</span><span class="special">(),</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">0.0</span><span class="special">,</span> <span class="number">0.0</span><span class="special">));</span>
 437
 438     <span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">().</span><span class="identifier">resize</span><span class="special">(</span><span class="number">1</span><span class="special">);</span> <a class="co" name="geometry.reference.models.model_polygon.c8" href="model_polygon.html#geometry.reference.models.model_polygon.c9"><img src="../../../../../../../doc/src/images/callouts/5.png" alt="5" border="0"></a>
 439     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">()[</span><span class="number">0</span><span class="special">],</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">1.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">));</span> <a class="co" name="geometry.reference.models.model_polygon.c10" href="model_polygon.html#geometry.reference.models.model_polygon.c11"><img src="../../../../../../../doc/src/images/callouts/6.png" alt="6" border="0"></a>
 440     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">()[</span><span class="number">0</span><span class="special">],</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">4.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">));</span>
 441     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">()[</span><span class="number">0</span><span class="special">],</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">4.0</span><span class="special">,</span> <span class="number">4.0</span><span class="special">));</span>
 442     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">()[</span><span class="number">0</span><span class="special">],</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">1.0</span><span class="special">,</span> <span class="number">4.0</span><span class="special">));</span>
 443     <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">.</span><span class="identifier">inners</span><span class="special">()[</span><span class="number">0</span><span class="special">],</span> <span class="identifier">point_t</span><span class="special">(</span><span class="number">1.0</span><span class="special">,</span> <span class="number">1.0</span><span class="special">));</span>
 444
 445     <span class="keyword">double</span> <span class="identifier">a</span> <span class="special">=</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">poly1</span><span class="special">);</span>
 446
 447     <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">a</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>
 448
 449     <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
 450 <span class="special">}</span>
 451 </pre>
 452 <p>
 453         </p>
 454 <div class="calloutlist"><table border="0" summary="Callout list">
 455 <tr>
 456 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c1"></a><a href="#geometry.reference.models.model_polygon.c0"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a> </p></td>
 457 <td valign="top" align="left"><p>
 458               Default parameters, clockwise, closed polygon.
 459             </p></td>
 460 </tr>
 461 <tr>
 462 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c3"></a><a href="#geometry.reference.models.model_polygon.c2"><img src="../../../../../../../doc/src/images/callouts/2.png" alt="2" border="0"></a> </p></td>
 463 <td valign="top" align="left"><p>
 464               Default-construct a polygon.
 465             </p></td>
 466 </tr>
 467 <tr>
 468 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c5"></a><a href="#geometry.reference.models.model_polygon.c4"><img src="../../../../../../../doc/src/images/callouts/3.png" alt="3" border="0"></a> </p></td>
 469 <td valign="top" align="left"><p>
 470               Construct a polygon containing an exterior and interior ring, using
 471               C++11 unified initialization syntax.
 472             </p></td>
 473 </tr>
 474 <tr>
 475 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c7"></a><a href="#geometry.reference.models.model_polygon.c6"><img src="../../../../../../../doc/src/images/callouts/4.png" alt="4" border="0"></a> </p></td>
 476 <td valign="top" align="left"><p>
 477               Append point to the exterior ring.
 478             </p></td>
 479 </tr>
 480 <tr>
 481 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c9"></a><a href="#geometry.reference.models.model_polygon.c8"><img src="../../../../../../../doc/src/images/callouts/5.png" alt="5" border="0"></a> </p></td>
 482 <td valign="top" align="left"><p>
 483               Resize a container of interior rings.
 484             </p></td>
 485 </tr>
 486 <tr>
 487 <td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_polygon.c11"></a><a href="#geometry.reference.models.model_polygon.c10"><img src="../../../../../../../doc/src/images/callouts/6.png" alt="6" border="0"></a> </p></td>
 488 <td valign="top" align="left"><p>
 489               Append point to the interior ring.
 490             </p></td>
 491 </tr>
 492 </table></div>
 493 <p>
 494           Output:
 495         </p>
 496 <pre class="programlisting">16
 497 </pre>
 498 </div>
 499 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 500 <td align="left"></td>
 501 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2019 Barend Gehrels, Bruno Lalande, Mateusz Loskot, Adam
 502       Wulkiewicz, Oracle and/or its affiliates<p>
 503         Distributed under the Boost Software License, Version 1.0. (See accompanying
 504         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>)
 505       </p>
 506 </div></td>
 507 </tr></table>
 508 <hr>
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