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26<div class="titlepage"><div><div><h4 class="title">
27<a name="geometry.reference.models.model_ring"></a><a class="link" href="model_ring.html" title="model::ring">model::ring</a>
28</h4></div></div></div>
29<p>
30          <a class="indexterm" name="idm45635678487872"></a><a class="indexterm" name="idm45635678487184"></a>
31A ring (aka linear ring) is a closed line which should not be selfintersecting.
32        </p>
33<h6>
34<a name="geometry.reference.models.model_ring.h0"></a>
35          <span class="phrase"><a name="geometry.reference.models.model_ring.model_of"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.model_of">Model
36          of</a>
37        </h6>
38<p>
39          <a class="link" href="../concepts/concept_ring.html" title="Ring Concept">Ring Concept</a>
40        </p>
41<h6>
42<a name="geometry.reference.models.model_ring.h1"></a>
43          <span class="phrase"><a name="geometry.reference.models.model_ring.synopsis"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.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">Container</span><span class="special">,</span>
48         <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">Allocator</span><span class="special">&gt;</span>
49<span class="keyword">class</span> <span class="identifier">model</span><span class="special">::</span><span class="identifier">ring</span>
50      <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">Container</span><span class="special">&lt;</span> <span class="identifier">Point</span><span class="special">,</span> <span class="identifier">Allocator</span><span class="special">&lt;</span> <span class="identifier">Point</span> <span class="special">&gt;</span> <span class="special">&gt;</span>
51<span class="special">{</span>
52  <span class="comment">// ...</span>
53<span class="special">};</span>
54</pre>
55<p>
56        </p>
57<h6>
58<a name="geometry.reference.models.model_ring.h2"></a>
59          <span class="phrase"><a name="geometry.reference.models.model_ring.template_parameter_s_"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.template_parameter_s_">Template
60          parameter(s)</a>
61        </h6>
62<div class="informaltable"><table class="table">
63<colgroup>
64<col>
65<col>
66<col>
67</colgroup>
68<thead><tr>
69<th>
70                  <p>
71                    Parameter
72                  </p>
73                </th>
74<th>
75                  <p>
76                    Default
77                  </p>
78                </th>
79<th>
80                  <p>
81                    Description
82                  </p>
83                </th>
84</tr></thead>
85<tbody>
86<tr>
87<td>
88                  <p>
89                    typename Point
90                  </p>
91                </td>
92<td>
93                </td>
94<td>
95                  <p>
96                    point type
97                  </p>
98                </td>
99</tr>
100<tr>
101<td>
102                  <p>
103                    bool ClockWise
104                  </p>
105                </td>
106<td>
107                  <p>
108                    true
109                  </p>
110                </td>
111<td>
112                  <p>
113                    true for clockwise direction, false for CounterClockWise direction
114                  </p>
115                </td>
116</tr>
117<tr>
118<td>
119                  <p>
120                    bool Closed
121                  </p>
122                </td>
123<td>
124                  <p>
125                    true
126                  </p>
127                </td>
128<td>
129                  <p>
130                    true for closed polygons (last point == first point), false open
131                    points
132                  </p>
133                </td>
134</tr>
135<tr>
136<td>
137                  <p>
138                    template&lt; typename, typename &gt; class Container
139                  </p>
140                </td>
141<td>
142                  <p>
143                    std::vector
144                  </p>
145                </td>
146<td>
147                  <p>
148                    container type, for example std::vector, std::deque
149                  </p>
150                </td>
151</tr>
152<tr>
153<td>
154                  <p>
155                    template&lt; typename &gt; class Allocator
156                  </p>
157                </td>
158<td>
159                  <p>
160                    std::allocator
161                  </p>
162                </td>
163<td>
164                  <p>
165                    container-allocator-type
166                  </p>
167                </td>
168</tr>
169</tbody>
170</table></div>
171<h6>
172<a name="geometry.reference.models.model_ring.h3"></a>
173          <span class="phrase"><a name="geometry.reference.models.model_ring.constructor_s_"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.constructor_s_">Constructor(s)</a>
174        </h6>
175<div class="informaltable"><table class="table">
176<colgroup>
177<col>
178<col>
179<col>
180</colgroup>
181<thead><tr>
182<th>
183                  <p>
184                    Function
185                  </p>
186                </th>
187<th>
188                  <p>
189                    Description
190                  </p>
191                </th>
192<th>
193                  <p>
194                    Parameters
195                  </p>
196                </th>
197</tr></thead>
198<tbody>
199<tr>
200<td>
201                  <p>
202</p>
203<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">ring</span><span class="special">()</span></pre>
204<p>
205                  </p>
206                </td>
207<td>
208                  <p>
209                    Default constructor, creating an empty ring.
210                  </p>
211                </td>
212<td>
213                </td>
214</tr>
215<tr>
216<td>
217                  <p>
218</p>
219<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Iterator</span><span class="special">&gt;</span>
220<span class="identifier">ring</span><span class="special">(</span><span class="identifier">Iterator</span> <span class="identifier">begin</span><span class="special">,</span> <span class="identifier">Iterator</span> <span class="identifier">end</span><span class="special">)</span></pre>
221<p>
222                  </p>
223                </td>
224<td>
225                  <p>
226                    Constructor with begin and end, filling the ring.
227                  </p>
228                </td>
229<td>
230                  <p>
231                    <span class="bold"><strong>Iterator</strong></span>: <span class="emphasis"><em>begin</em></span>:
232                  </p>
233                  <p>
234                    <span class="bold"><strong>Iterator</strong></span>: <span class="emphasis"><em>end</em></span>:
235                  </p>
236                </td>
237</tr>
238<tr>
239<td>
240                  <p>
241</p>
242<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">ring</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">Point</span> <span class="special">&gt;</span> <span class="identifier">l</span><span class="special">)</span></pre>
243<p>
244                  </p>
245                </td>
246<td>
247                  <p>
248                    Constructor taking std::initializer_list, filling the ring.
249                  </p>
250                </td>
251<td>
252                  <p>
253                    <span class="bold"><strong>std::initializer_list&lt; Point &gt;</strong></span>:
254                    <span class="emphasis"><em>l</em></span>:
255                  </p>
256                </td>
257</tr>
258</tbody>
259</table></div>
260<h6>
261<a name="geometry.reference.models.model_ring.h4"></a>
262          <span class="phrase"><a name="geometry.reference.models.model_ring.header"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.header">Header</a>
263        </h6>
264<p>
265          Either
266        </p>
267<p>
268          <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>
269        </p>
270<p>
271          Or
272        </p>
273<p>
274          <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">ring</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
275        </p>
276<h6>
277<a name="geometry.reference.models.model_ring.h5"></a>
278          <span class="phrase"><a name="geometry.reference.models.model_ring.examples"></a></span><a class="link" href="model_ring.html#geometry.reference.models.model_ring.examples">Examples</a>
279        </h6>
280<p>
281          Declaration and use of the Boost.Geometry model::ring, modelling the Ring
282          Concept
283        </p>
284<p>
285</p>
286<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
287<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>
288<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>
289
290<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>
291
292<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
293<span class="special">{</span>
294    <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>
295    <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">ring</span><span class="special">&lt;</span><span class="identifier">point_t</span><span class="special">&gt;</span> <span class="identifier">ring_t</span><span class="special">;</span> <a class="co" name="geometry.reference.models.model_ring.c0" href="model_ring.html#geometry.reference.models.model_ring.c1"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a>
296
297    <span class="identifier">ring_t</span> <span class="identifier">ring1</span><span class="special">;</span> <a class="co" name="geometry.reference.models.model_ring.c2" href="model_ring.html#geometry.reference.models.model_ring.c3"><img src="../../../../../../../doc/src/images/callouts/2.png" alt="2" border="0"></a>
298
299<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>
300 <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>
301
302    <span class="identifier">ring_t</span> <span class="identifier">ring2</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> <a class="co" name="geometry.reference.models.model_ring.c4" href="model_ring.html#geometry.reference.models.model_ring.c5"><img src="../../../../../../../doc/src/images/callouts/3.png" alt="3" border="0"></a>
303
304<span class="preprocessor">#endif</span>
305
306    <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">ring1</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_ring.c6" href="model_ring.html#geometry.reference.models.model_ring.c7"><img src="../../../../../../../doc/src/images/callouts/4.png" alt="4" border="0"></a>
307    <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">ring1</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>
308    <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">ring1</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>
309    <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">ring1</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>
310    <span class="identifier">bg</span><span class="special">::</span><span class="identifier">append</span><span class="special">(</span><span class="identifier">ring1</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>
311
312    <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">ring1</span><span class="special">);</span>
313
314    <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>
315
316    <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
317<span class="special">}</span>
318</pre>
319<p>
320        </p>
321<div class="calloutlist"><table border="0" summary="Callout list">
322<tr>
323<td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_ring.c1"></a><a href="#geometry.reference.models.model_ring.c0"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a> </p></td>
324<td valign="top" align="left"><p>
325              Default parameters, clockwise, closed ring.
326            </p></td>
327</tr>
328<tr>
329<td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_ring.c3"></a><a href="#geometry.reference.models.model_ring.c2"><img src="../../../../../../../doc/src/images/callouts/2.png" alt="2" border="0"></a> </p></td>
330<td valign="top" align="left"><p>
331              Default-construct a ring.
332            </p></td>
333</tr>
334<tr>
335<td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_ring.c5"></a><a href="#geometry.reference.models.model_ring.c4"><img src="../../../../../../../doc/src/images/callouts/3.png" alt="3" border="0"></a> </p></td>
336<td valign="top" align="left"><p>
337              Construct a ring containing four points plus one closing point, using
338              C++11 unified initialization syntax.
339            </p></td>
340</tr>
341<tr>
342<td width="5%" valign="top" align="left"><p><a name="geometry.reference.models.model_ring.c7"></a><a href="#geometry.reference.models.model_ring.c6"><img src="../../../../../../../doc/src/images/callouts/4.png" alt="4" border="0"></a> </p></td>
343<td valign="top" align="left"><p>
344              Append point.
345            </p></td>
346</tr>
347</table></div>
348<p>
349          Output:
350        </p>
351<pre class="programlisting">25
352</pre>
353</div>
354<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
355<td align="left"></td>
356<td align="right"><div class="copyright-footer">Copyright © 2009-2019 Barend Gehrels, Bruno Lalande, Mateusz Loskot, Adam
357      Wulkiewicz, Oracle and/or its affiliates<p>
358        Distributed under the Boost Software License, Version 1.0. (See accompanying
359        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>)
360      </p>
361</div></td>
362</tr></table>
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