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  25 <div class="section">
  26 <div class="titlepage"><div><div><h4 class="title">
  27 <a name="geometry.spatial_indexes.rtree_examples.using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements"></a><a class="link" href="using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements.html" title="Using IndexableGetter function object - storing indexes of external container's elements">Using
  28         IndexableGetter function object - storing indexes of external container's
  29         elements</a>
  30 </h4></div></div></div>
  31 <p>
  32 </p>
  33 <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>
  34 <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>
  35 <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>
  36
  37 <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>
  38
  39 <span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">cmath</span><span class="special">&gt;</span>
  40 <span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">vector</span><span class="special">&gt;</span>
  41 <span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
  42 <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>
  43
  44 <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>
  45 <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>
  46
  47 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Container</span><span class="special">&gt;</span>
  48 <span class="keyword">class</span> <span class="identifier">my_indexable</span>
  49 <span class="special">{</span>
  50     <span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Container</span><span class="special">::</span><span class="identifier">size_type</span> <span class="identifier">size_t</span><span class="special">;</span>
  51     <span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Container</span><span class="special">::</span><span class="identifier">const_reference</span> <span class="identifier">cref</span><span class="special">;</span>
  52     <span class="identifier">Container</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">container</span><span class="special">;</span>
  53
  54 <span class="keyword">public</span><span class="special">:</span>
  55     <span class="keyword">typedef</span> <span class="identifier">cref</span> <span class="identifier">result_type</span><span class="special">;</span>
  56     <span class="keyword">explicit</span> <span class="identifier">my_indexable</span><span class="special">(</span><span class="identifier">Container</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">c</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">container</span><span class="special">(</span><span class="identifier">c</span><span class="special">)</span> <span class="special">{}</span>
  57     <span class="identifier">result_type</span> <span class="keyword">operator</span><span class="special">()(</span><span class="identifier">size_t</span> <span class="identifier">i</span><span class="special">)</span> <span class="keyword">const</span> <span class="special">{</span> <span class="keyword">return</span> <span class="identifier">container</span><span class="special">[</span><span class="identifier">i</span><span class="special">];</span> <span class="special">}</span>
  58 <span class="special">};</span>
  59
  60 <span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
  61 <span class="special">{</span>
  62     <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>
  63     <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>
  64     <span class="keyword">typedef</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">&gt;::</span><span class="identifier">size_type</span> <span class="identifier">value</span><span class="special">;</span>
  65     <span class="keyword">typedef</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="identifier">parameters</span><span class="special">;</span>
  66     <span class="keyword">typedef</span> <span class="identifier">my_indexable</span><span class="special">&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">indexable_getter</span><span class="special">;</span>
  67
  68     <span class="comment">// boxes</span>
  69     <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">box</span><span class="special">&gt;</span> <span class="identifier">boxes</span><span class="special">;</span>
  70
  71     <span class="comment">// create some boxes</span>
  72     <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>
  73     <span class="special">{</span>
  74         <span class="comment">// add a box</span>
  75         <span class="identifier">boxes</span><span class="special">.</span><span class="identifier">push_back</span><span class="special">(</span><span class="identifier">box</span><span class="special">(</span><span class="identifier">point</span><span class="special">(</span><span class="identifier">i</span><span class="special">+</span><span class="number">0.0f</span><span class="special">,</span> <span class="identifier">i</span><span class="special">+</span><span class="number">0.0f</span><span class="special">),</span> <span class="identifier">point</span><span class="special">(</span><span class="identifier">i</span><span class="special">+</span><span class="number">0.5f</span><span class="special">,</span> <span class="identifier">i</span><span class="special">+</span><span class="number">0.5f</span><span class="special">)));</span>
  76     <span class="special">}</span>
  77
  78     <span class="comment">// display boxes</span>
  79     <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"generated boxes:"</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>
  80     <span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">box</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">boxes</span><span class="special">)</span>
  81         <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">b</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>
  82
  83     <span class="comment">// create the rtree</span>
  84     <span class="identifier">parameters</span> <span class="identifier">params</span><span class="special">;</span>
  85     <span class="identifier">indexable_getter</span> <span class="identifier">ind</span><span class="special">(</span><span class="identifier">boxes</span><span class="special">);</span>
  86     <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">parameters</span><span class="special">,</span> <span class="identifier">indexable_getter</span><span class="special">&gt;</span> <span class="identifier">rtree</span><span class="special">(</span><span class="identifier">params</span><span class="special">,</span> <span class="identifier">ind</span><span class="special">);</span>
  87
  88     <span class="comment">// fill the spatial index</span>
  89     <span class="keyword">for</span> <span class="special">(</span> <span class="identifier">size_t</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">boxes</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>
  90         <span class="identifier">rtree</span><span class="special">.</span><span class="identifier">insert</span><span class="special">(</span><span class="identifier">i</span><span class="special">);</span>
  91
  92     <span class="comment">// find values intersecting some area defined by a box</span>
  93     <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>
  94     <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>
  95     <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>
  96
  97     <span class="comment">// find 5 nearest values to a point</span>
  98     <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>
  99     <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>
 100
 101     <span class="comment">// note: in Boost.Geometry the WKT representation of a box is polygon</span>
 102
 103     <span class="comment">// display results</span>
 104     <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>
 105     <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>
 106     <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>
 107     <span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">value</span> <span class="identifier">i</span><span class="special">,</span> <span class="identifier">result_s</span><span class="special">)</span>
 108         <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">boxes</span><span class="special">[</span><span class="identifier">i</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>
 109
 110     <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>
 111     <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>
 112     <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>
 113     <span class="identifier">BOOST_FOREACH</span><span class="special">(</span><span class="identifier">value</span> <span class="identifier">i</span><span class="special">,</span> <span class="identifier">result_n</span><span class="special">)</span>
 114         <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">boxes</span><span class="special">[</span><span class="identifier">i</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>
 115
 116     <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
 117 <span class="special">}</span>
 118 </pre>
 119 <p>
 120         </p>
 121 <h5>
 122 <a name="geometry.spatial_indexes.rtree_examples.using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements.h0"></a>
 123           <span class="phrase"><a name="geometry.spatial_indexes.rtree_examples.using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements.expected_results"></a></span><a class="link" href="using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements.html#geometry.spatial_indexes.rtree_examples.using_indexablegetter_function_object___storing_indexes_of_external_container_s_elements.expected_results">Expected
 124           results</a>
 125         </h5>
 126 <pre class="programlisting"><span class="identifier">generated</span> <span class="identifier">boxes</span><span class="special">:</span>
 127 <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">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0</span><span class="special">,</span><span class="number">0</span> <span class="number">0</span><span class="special">))</span>
 128 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1</span><span class="special">))</span>
 129 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2</span><span class="special">))</span>
 130 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3</span><span class="special">))</span>
 131 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4</span><span class="special">))</span>
 132 <span class="identifier">POLYGON</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">5.5</span><span class="special">,</span><span class="number">5.5</span> <span class="number">5.5</span><span class="special">,</span><span class="number">5.5</span> <span class="number">5</span><span class="special">,</span><span class="number">5</span> <span class="number">5</span><span class="special">))</span>
 133 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">6</span> <span class="number">6</span><span class="special">,</span><span class="number">6</span> <span class="number">6.5</span><span class="special">,</span><span class="number">6.5</span> <span class="number">6.5</span><span class="special">,</span><span class="number">6.5</span> <span class="number">6</span><span class="special">,</span><span class="number">6</span> <span class="number">6</span><span class="special">))</span>
 134 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">7</span> <span class="number">7</span><span class="special">,</span><span class="number">7</span> <span class="number">7.5</span><span class="special">,</span><span class="number">7.5</span> <span class="number">7.5</span><span class="special">,</span><span class="number">7.5</span> <span class="number">7</span><span class="special">,</span><span class="number">7</span> <span class="number">7</span><span class="special">))</span>
 135 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">8</span> <span class="number">8</span><span class="special">,</span><span class="number">8</span> <span class="number">8.5</span><span class="special">,</span><span class="number">8.5</span> <span class="number">8.5</span><span class="special">,</span><span class="number">8.5</span> <span class="number">8</span><span class="special">,</span><span class="number">8</span> <span class="number">8</span><span class="special">))</span>
 136 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">9</span> <span class="number">9</span><span class="special">,</span><span class="number">9</span> <span class="number">9.5</span><span class="special">,</span><span class="number">9.5</span> <span class="number">9.5</span><span class="special">,</span><span class="number">9.5</span> <span class="number">9</span><span class="special">,</span><span class="number">9</span> <span class="number">9</span><span class="special">))</span>
 137 <span class="identifier">spatial</span> <span class="identifier">query</span> <span class="identifier">box</span><span class="special">:</span>
 138 <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>
 139 <span class="identifier">spatial</span> <span class="identifier">query</span> <span class="identifier">result</span><span class="special">:</span>
 140 <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">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0</span><span class="special">,</span><span class="number">0</span> <span class="number">0</span><span class="special">))</span>
 141 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1</span><span class="special">))</span>
 142 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2</span><span class="special">))</span>
 143 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3</span><span class="special">))</span>
 144 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4</span><span class="special">))</span>
 145 <span class="identifier">POLYGON</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">5.5</span><span class="special">,</span><span class="number">5.5</span> <span class="number">5.5</span><span class="special">,</span><span class="number">5.5</span> <span class="number">5</span><span class="special">,</span><span class="number">5</span> <span class="number">5</span><span class="special">))</span>
 146 <span class="identifier">knn</span> <span class="identifier">query</span> <span class="identifier">point</span><span class="special">:</span>
 147 <span class="identifier">POINT</span><span class="special">(</span><span class="number">0</span> <span class="number">0</span><span class="special">)</span>
 148 <span class="identifier">knn</span> <span class="identifier">query</span> <span class="identifier">result</span><span class="special">:</span>
 149 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">4</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4.5</span><span class="special">,</span><span class="number">4.5</span> <span class="number">4</span><span class="special">,</span><span class="number">4</span> <span class="number">4</span><span class="special">))</span>
 150 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">3</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3.5</span><span class="special">,</span><span class="number">3.5</span> <span class="number">3</span><span class="special">,</span><span class="number">3</span> <span class="number">3</span><span class="special">))</span>
 151 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">2</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2.5</span><span class="special">,</span><span class="number">2.5</span> <span class="number">2</span><span class="special">,</span><span class="number">2</span> <span class="number">2</span><span class="special">))</span>
 152 <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">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0.5</span><span class="special">,</span><span class="number">0.5</span> <span class="number">0</span><span class="special">,</span><span class="number">0</span> <span class="number">0</span><span class="special">))</span>
 153 <span class="identifier">POLYGON</span><span class="special">((</span><span class="number">1</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1.5</span><span class="special">,</span><span class="number">1.5</span> <span class="number">1</span><span class="special">,</span><span class="number">1</span> <span class="number">1</span><span class="special">))</span>
 154 </pre>
 155 </div>
 156 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 157 <td align="left"></td>
 158 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2017 Barend
 159       Gehrels, Bruno Lalande, Mateusz Loskot, Adam Wulkiewicz, Oracle and/or its
 160       affiliates<p>
 161         Distributed under the Boost Software License, Version 1.0. (See accompanying
 162         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>)
 163       </p>
 164 </div></td>
 165 </tr></table>
 166 <hr>
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