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    <p>Seems you are looking for <code>within</code>, no?</p> <p><a href="http://www.boost.org/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html" rel="noreferrer">http://www.boost.org/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html</a></p> <p>The example they give on the page is, in fact, point-in-polygon:</p> <pre><code>#include &lt;iostream&gt; #include &lt;list&gt; #include &lt;boost/geometry.hpp&gt; #include &lt;boost/geometry/geometries/point_xy.hpp&gt; #include &lt;boost/geometry/geometries/polygon.hpp&gt; #include &lt;boost/geometry/domains/gis/io/wkt/wkt.hpp&gt; int main() { typedef boost::geometry::model::d2::point_xy&lt;double&gt; point_type; typedef boost::geometry::model::polygon&lt;point_type&gt; polygon_type; polygon_type poly; boost::geometry::read_wkt( "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 3,5.3 2.6,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3)" "(4.0 2.0, 4.2 1.4, 4.8 1.9, 4.4 2.2, 4.0 2.0))", poly); point_type p(4, 1); std::cout &lt;&lt; "within: " &lt;&lt; (boost::geometry::within(p, poly) ? "yes" : "no") &lt;&lt; std::endl; return 0; } </code></pre> <p><strong>UPDATE:</strong> as @ildjarn points out, you might rather use <code>covered_by</code> if you wanted points that lie on the polygon edge itself to count:</p> <p><a href="http://www.boost.org/libs/geometry/doc/html/geometry/reference/algorithms/covered_by/covered_by_2.html" rel="noreferrer">http://www.boost.org/libs/geometry/doc/html/geometry/reference/algorithms/covered_by/covered_by_2.html</a></p> <p>The behavior of <code>within</code> w.r.t. edges "depends", so take note of that nuance in the documentation.</p>
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