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<a name="geometry.spatial_indexes.rtree_examples.index_of_polygons_stored_in_vector"></a><a class="link" href="index_of_polygons_stored_in_vector.html" title="Index of polygons stored in vector">Index
of polygons stored in vector</a>
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<p>
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<pre class="programlisting"><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>
<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</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<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">box</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<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>
<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">index</span><span class="special">/</span><span class="identifier">rtree</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">cmath</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">vector</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
<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>
<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>
<span class="keyword">namespace</span> <span class="identifier">bgi</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">index</span><span class="special">;</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<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">float</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</span><span class="special">;</span>
<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">box</span><span class="special">&lt;</span><span class="identifier">point</span><span class="special">&gt;</span> <span class="identifier">box</span><span class="special">;</span>
<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</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">false</span><span class="special">&gt;</span> <span class="identifier">polygon</span><span class="special">;</span> <span class="comment">// ccw, open polygon</span>
<span class="keyword">typedef</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">,</span> <span class="keyword">unsigned</span><span class="special">&gt;</span> <span class="identifier">value</span><span class="special">;</span>
<span class="comment">// polygons</span>
<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">polygons</span><span class="special">;</span>
<span class="comment">// create some polygons</span>
<span class="keyword">for</span> <span class="special">(</span> <span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span> <span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">10</span> <span class="special">;</span> <span class="special">++</span><span class="identifier">i</span> <span class="special">)</span>
<span class="special">{</span>
<span class="comment">// create a polygon</span>
<span class="identifier">polygon</span> <span class="identifier">p</span><span class="special">;</span>
<span class="keyword">for</span> <span class="special">(</span> <span class="keyword">float</span> <span class="identifier">a</span> <span class="special">=</span> <span class="number">0</span> <span class="special">;</span> <span class="identifier">a</span> <span class="special">&lt;</span> <span class="number">6.28316f</span> <span class="special">;</span> <span class="identifier">a</span> <span class="special">+=</span> <span class="number">1.04720f</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">float</span> <span class="identifier">x</span> <span class="special">=</span> <span class="identifier">i</span> <span class="special">+</span> <span class="keyword">int</span><span class="special">(</span><span class="number">10</span><span class="special">*::</span><span class="identifier">cos</span><span class="special">(</span><span class="identifier">a</span><span class="special">))*</span><span class="number">0.1f</span><span class="special">;</span>
<span class="keyword">float</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">i</span> <span class="special">+</span> <span class="keyword">int</span><span class="special">(</span><span class="number">10</span><span class="special">*::</span><span class="identifier">sin</span><span class="special">(</span><span class="identifier">a</span><span class="special">))*</span><span class="number">0.1f</span><span class="special">;</span>
<span class="identifier">p</span><span class="special">.</span><span class="identifier">outer</span><span class="special">().</span><span class="identifier">push_back</span><span class="special">(</span><span class="identifier">point</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span> <span class="identifier">y</span><span class="special">));</span>
<span class="special">}</span>
<span class="comment">// add polygon</span>
<span class="identifier">polygons</span><span class="special">.</span><span class="identifier">push_back</span><span class="special">(</span><span class="identifier">p</span><span class="special">);</span>
<span class="special">}</span>
<span class="comment">// display polygons</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"generated polygons:"</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>
<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">polygons</span><span class="special">)</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">wkt</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;(</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>
<span class="comment">// create the rtree using default constructor</span>
<span class="identifier">bgi</span><span class="special">::</span><span class="identifier">rtree</span><span class="special">&lt;</span> <span class="identifier">value</span><span class="special">,</span> <span class="identifier">bgi</span><span class="special">::</span><span class="identifier">rstar</span><span class="special">&lt;</span><span class="number">16</span><span class="special">,</span> <span class="number">4</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">rtree</span><span class="special">;</span>
<span class="comment">// fill the spatial index</span>
<span class="keyword">for</span> <span class="special">(</span> <span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span> <span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="identifier">polygons</span><span class="special">.</span><span class="identifier">size</span><span class="special">()</span> <span class="special">;</span> <span class="special">++</span><span class="identifier">i</span> <span class="special">)</span>
<span class="special">{</span>
<span class="comment">// calculate polygon bounding box</span>
<span class="identifier">box</span> <span class="identifier">b</span> <span class="special">=</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">return_envelope</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">&gt;(</span><span class="identifier">polygons</span><span class="special">[</span><span class="identifier">i</span><span class="special">]);</span>
<span class="comment">// insert new value</span>
<span class="identifier">rtree</span><span class="special">.</span><span class="identifier">insert</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">make_pair</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">i</span><span class="special">));</span>
<span class="special">}</span>
<span class="comment">// find values intersecting some area defined by a box</span>
<span class="identifier">box</span> <span class="identifier">query_box</span><span class="special">(</span><span class="identifier">point</span><span class="special">(</span><span class="number">0</span><span class="special">,</span> <span class="number">0</span><span class="special">),</span> <span class="identifier">point</span><span class="special">(</span><span class="number">5</span><span class="special">,</span> <span class="number">5</span><span class="special">));</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="identifier">result_s</span><span class="special">;</span>
<span class="identifier">rtree</span><span class="special">.</span><span class="identifier">query</span><span class="special">(</span><span class="identifier">bgi</span><span class="special">::</span><span class="identifier">intersects</span><span class="special">(</span><span class="identifier">query_box</span><span class="special">),</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">back_inserter</span><span class="special">(</span><span class="identifier">result_s</span><span class="special">));</span>
<span class="comment">// find 5 nearest values to a point</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="identifier">result_n</span><span class="special">;</span>
<span class="identifier">rtree</span><span class="special">.</span><span class="identifier">query</span><span class="special">(</span><span class="identifier">bgi</span><span class="special">::</span><span class="identifier">nearest</span><span class="special">(</span><span class="identifier">point</span><span class="special">(</span><span class="number">0</span><span class="special">,</span> <span class="number">0</span><span class="special">),</span> <span class="number">5</span><span class="special">),</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">back_inserter</span><span class="special">(</span><span class="identifier">result_n</span><span class="special">));</span>
<span class="comment">// note: in Boost.Geometry the WKT representation of a box is polygon</span>
<span class="comment">// note: the values store the bounding boxes of polygons</span>
<span class="comment">// the polygons aren't used for querying but are printed</span>
<span class="comment">// display results</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"spatial query box:"</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>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">wkt</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">&gt;(</span><span class="identifier">query_box</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>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"spatial query result:"</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>
<span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">value</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">result_s</span><span class="special">)</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">wkt</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;(</span><span class="identifier">polygons</span><span class="special">[</span><span class="identifier">v</span><span class="special">.</span><span class="identifier">second</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>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"knn query point:"</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>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">wkt</span><span class="special">&lt;</span><span class="identifier">point</span><span class="special">&gt;(</span><span class="identifier">point</span><span class="special">(</span><span class="number">0</span><span class="special">,</span> <span class="number">0</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>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"knn query result:"</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>
<span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">value</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">result_n</span><span class="special">)</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">wkt</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;(</span><span class="identifier">polygons</span><span class="special">[</span><span class="identifier">v</span><span class="special">.</span><span class="identifier">second</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>
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span>
</pre>
<p>
</p>
<h5>
<a name="geometry.spatial_indexes.rtree_examples.index_of_polygons_stored_in_vector.h0"></a>
<span class="phrase"><a name="geometry.spatial_indexes.rtree_examples.index_of_polygons_stored_in_vector.expected_results"></a></span><a class="link" href="index_of_polygons_stored_in_vector.html#geometry.spatial_indexes.rtree_examples.index_of_polygons_stored_in_vector.expected_results">Expected
results</a>
</h5>
<pre class="programlisting"><span class="identifier">generated</span> <span class="identifier">polygons</span><span class="special">:</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">0</span><span class="special">,</span><span class="number">0.4</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.5</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.9</span> <span class="number">0</span><span class="special">,-</span><span class="number">0.4</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">0.5</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">1</span> <span class="number">0</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">1</span><span class="special">,</span><span class="number">1.4</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.5</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.1</span> <span class="number">1</span><span class="special">,</span><span class="number">0.6</span> <span class="number">0.2</span><span class="special">,</span><span class="number">1.5</span> <span class="number">0.2</span><span class="special">,</span><span class="number">2</span> <span class="number">1</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">2</span><span class="special">,</span><span class="number">2.4</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.5</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.1</span> <span class="number">2</span><span class="special">,</span><span class="number">1.6</span> <span class="number">1.2</span><span class="special">,</span><span class="number">2.5</span> <span class="number">1.2</span><span class="special">,</span><span class="number">3</span> <span class="number">2</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">3</span><span class="special">,</span><span class="number">3.4</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.5</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.1</span> <span class="number">3</span><span class="special">,</span><span class="number">2.6</span> <span class="number">2.2</span><span class="special">,</span><span class="number">3.5</span> <span class="number">2.2</span><span class="special">,</span><span class="number">4</span> <span class="number">3</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">5</span> <span class="number">4</span><span class="special">,</span><span class="number">4.4</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.5</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.1</span> <span class="number">4</span><span class="special">,</span><span class="number">3.6</span> <span class="number">3.2</span><span class="special">,</span><span class="number">4.5</span> <span class="number">3.2</span><span class="special">,</span><span class="number">5</span> <span class="number">4</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">6</span> <span class="number">5</span><span class="special">,</span><span class="number">5.4</span> <span class="number">5.8</span><span class="special">,</span><span class="number">4.5</span> <span class="number">5.8</span><span class="special">,</span><span class="number">4.1</span> <span class="number">5</span><span class="special">,</span><span class="number">4.6</span> <span class="number">4.2</span><span class="special">,</span><span class="number">5.5</span> <span class="number">4.2</span><span class="special">,</span><span class="number">6</span> <span class="number">5</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">7</span> <span class="number">6</span><span class="special">,</span><span class="number">6.4</span> <span class="number">6.8</span><span class="special">,</span><span class="number">5.5</span> <span class="number">6.8</span><span class="special">,</span><span class="number">5.1</span> <span class="number">6</span><span class="special">,</span><span class="number">5.6</span> <span class="number">5.2</span><span class="special">,</span><span class="number">6.5</span> <span class="number">5.2</span><span class="special">,</span><span class="number">7</span> <span class="number">6</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">8</span> <span class="number">7</span><span class="special">,</span><span class="number">7.4</span> <span class="number">7.8</span><span class="special">,</span><span class="number">6.5</span> <span class="number">7.8</span><span class="special">,</span><span class="number">6.1</span> <span class="number">7</span><span class="special">,</span><span class="number">6.6</span> <span class="number">6.2</span><span class="special">,</span><span class="number">7.5</span> <span class="number">6.2</span><span class="special">,</span><span class="number">8</span> <span class="number">7</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">9</span> <span class="number">8</span><span class="special">,</span><span class="number">8.4</span> <span class="number">8.8</span><span class="special">,</span><span class="number">7.5</span> <span class="number">8.8</span><span class="special">,</span><span class="number">7.1</span> <span class="number">8</span><span class="special">,</span><span class="number">7.6</span> <span class="number">7.2</span><span class="special">,</span><span class="number">8.5</span> <span class="number">7.2</span><span class="special">,</span><span class="number">9</span> <span class="number">8</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">10</span> <span class="number">9</span><span class="special">,</span><span class="number">9.4</span> <span class="number">9.8</span><span class="special">,</span><span class="number">8.5</span> <span class="number">9.8</span><span class="special">,</span><span class="number">8.1</span> <span class="number">9</span><span class="special">,</span><span class="number">8.6</span> <span class="number">8.2</span><span class="special">,</span><span class="number">9.5</span> <span class="number">8.2</span><span class="special">,</span><span class="number">10</span> <span class="number">9</span><span class="special">))</span>
<span class="identifier">spatial</span> <span class="identifier">query</span> <span class="identifier">box</span><span class="special">:</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">0</span> <span class="number">0</span><span class="special">,</span><span class="number">0</span> <span class="number">5</span><span class="special">,</span><span class="number">5</span> <span class="number">5</span><span class="special">,</span><span class="number">5</span> <span class="number">0</span><span class="special">,</span><span class="number">0</span> <span class="number">0</span><span class="special">))</span>
<span class="identifier">spatial</span> <span class="identifier">query</span> <span class="identifier">result</span><span class="special">:</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">0</span><span class="special">,</span><span class="number">0.4</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.5</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.9</span> <span class="number">0</span><span class="special">,-</span><span class="number">0.4</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">0.5</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">1</span> <span class="number">0</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">1</span><span class="special">,</span><span class="number">1.4</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.5</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.1</span> <span class="number">1</span><span class="special">,</span><span class="number">0.6</span> <span class="number">0.2</span><span class="special">,</span><span class="number">1.5</span> <span class="number">0.2</span><span class="special">,</span><span class="number">2</span> <span class="number">1</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">2</span><span class="special">,</span><span class="number">2.4</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.5</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.1</span> <span class="number">2</span><span class="special">,</span><span class="number">1.6</span> <span class="number">1.2</span><span class="special">,</span><span class="number">2.5</span> <span class="number">1.2</span><span class="special">,</span><span class="number">3</span> <span class="number">2</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">3</span><span class="special">,</span><span class="number">3.4</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.5</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.1</span> <span class="number">3</span><span class="special">,</span><span class="number">2.6</span> <span class="number">2.2</span><span class="special">,</span><span class="number">3.5</span> <span class="number">2.2</span><span class="special">,</span><span class="number">4</span> <span class="number">3</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">5</span> <span class="number">4</span><span class="special">,</span><span class="number">4.4</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.5</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.1</span> <span class="number">4</span><span class="special">,</span><span class="number">3.6</span> <span class="number">3.2</span><span class="special">,</span><span class="number">4.5</span> <span class="number">3.2</span><span class="special">,</span><span class="number">5</span> <span class="number">4</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">6</span> <span class="number">5</span><span class="special">,</span><span class="number">5.4</span> <span class="number">5.8</span><span class="special">,</span><span class="number">4.5</span> <span class="number">5.8</span><span class="special">,</span><span class="number">4.1</span> <span class="number">5</span><span class="special">,</span><span class="number">4.6</span> <span class="number">4.2</span><span class="special">,</span><span class="number">5.5</span> <span class="number">4.2</span><span class="special">,</span><span class="number">6</span> <span class="number">5</span><span class="special">))</span>
<span class="identifier">knn</span> <span class="identifier">query</span> <span class="identifier">point</span><span class="special">:</span>
<span class="identifier">POINT</span><span class="special">(</span><span class="number">0</span> <span class="number">0</span><span class="special">)</span>
<span class="identifier">knn</span> <span class="identifier">query</span> <span class="identifier">result</span><span class="special">:</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">5</span> <span class="number">4</span><span class="special">,</span><span class="number">4.4</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.5</span> <span class="number">4.8</span><span class="special">,</span><span class="number">3.1</span> <span class="number">4</span><span class="special">,</span><span class="number">3.6</span> <span class="number">3.2</span><span class="special">,</span><span class="number">4.5</span> <span class="number">3.2</span><span class="special">,</span><span class="number">5</span> <span class="number">4</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">3</span><span class="special">,</span><span class="number">3.4</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.5</span> <span class="number">3.8</span><span class="special">,</span><span class="number">2.1</span> <span class="number">3</span><span class="special">,</span><span class="number">2.6</span> <span class="number">2.2</span><span class="special">,</span><span class="number">3.5</span> <span class="number">2.2</span><span class="special">,</span><span class="number">4</span> <span class="number">3</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">2</span><span class="special">,</span><span class="number">2.4</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.5</span> <span class="number">2.8</span><span class="special">,</span><span class="number">1.1</span> <span class="number">2</span><span class="special">,</span><span class="number">1.6</span> <span class="number">1.2</span><span class="special">,</span><span class="number">2.5</span> <span class="number">1.2</span><span class="special">,</span><span class="number">3</span> <span class="number">2</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">0</span><span class="special">,</span><span class="number">0.4</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.5</span> <span class="number">0.8</span><span class="special">,-</span><span class="number">0.9</span> <span class="number">0</span><span class="special">,-</span><span class="number">0.4</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">0.5</span> <span class="special">-</span><span class="number">0.8</span><span class="special">,</span><span class="number">1</span> <span class="number">0</span><span class="special">))</span>
<span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">1</span><span class="special">,</span><span class="number">1.4</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.5</span> <span class="number">1.8</span><span class="special">,</span><span class="number">0.1</span> <span class="number">1</span><span class="special">,</span><span class="number">0.6</span> <span class="number">0.2</span><span class="special">,</span><span class="number">1.5</span> <span class="number">0.2</span><span class="special">,</span><span class="number">2</span> <span class="number">1</span><span class="special">))</span>
</pre>
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