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<div class="textblock"><code>#include <queue></code><br/>
<code>#include <stack></code><br/>
<code>#include <numeric></code><br/>
<code>#include <algorithm></code><br/>
<code>#include <cmath></code><br/>
</div>
<p><a href="psimpl_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array< T ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">A smart pointer for holding a dynamically allocated array. <a href="classpsimpl_1_1util_1_1scoped__array.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">psimpl::math::Statistics</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">POD structure for storing several statistical values. <a href="structpsimpl_1_1math_1_1_statistics.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification< DIM, InputIterator, OutputIterator ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Provides various simplification algorithms for n-dimensional simple polylines. <a href="classpsimpl_1_1_polyline_simplification.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification< DIM, InputIterator, OutputIterator >::DPHelper</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Douglas-Peucker approximation helper class. <a href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification< DIM, InputIterator, OutputIterator >::DPHelper::SubPoly</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Defines a sub polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">psimpl::PolylineSimplification< DIM, InputIterator, OutputIterator >::DPHelper::KeyInfo</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Defines the key of a polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">psimpl::PolylineSimplification< DIM, InputIterator, OutputIterator >::DPHelper::SubPolyAlt</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Defines a sub polyline including its key. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="namespaces"></a>
Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html">psimpl</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Root namespace of the polyline simplification library. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html">psimpl::util</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Contains utility functions and classes. </p>
<br/></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html">psimpl::math</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Contains functions for calculating statistics and distances between various geometric entities. </p>
<br/></td></tr>
</p>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html#ae99d4ca12dc7025d6a31185463d7606d">psimpl::util::swap</a> (scoped_array< T > &a, scoped_array< T > &b)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a6b293d2459ba597c933d6fdb68e91b2c">psimpl::math::equal</a> (InputIterator p1, InputIterator p2)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Determines if two points have the exact same coordinates. <a href="#a6b293d2459ba597c933d6fdb68e91b2c"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a10bb3d3d87fa1038d43eee6e5f3fcdda">psimpl::math::make_vector</a> (InputIterator p1, InputIterator p2, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Creates a vector from two points. <a href="#a10bb3d3d87fa1038d43eee6e5f3fcdda"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
< InputIterator >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a26bb15089fdfcfc4560b5a318317bbc4">psimpl::math::dot</a> (InputIterator v1, InputIterator v2)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the dot product of two vectors. <a href="#a26bb15089fdfcfc4560b5a318317bbc4"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a87a753961c7742b6c48b4f66a0fea697">psimpl::math::interpolate</a> (InputIterator p1, InputIterator p2, float fraction, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Peforms linear interpolation between two points. <a href="#a87a753961c7742b6c48b4f66a0fea697"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator1 , class InputIterator2 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
< InputIterator1 >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab995b6d68caf4d43172a0de6ee363eb0">psimpl::math::point_distance2</a> (InputIterator1 p1, InputIterator2 p2)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared distance of two points. <a href="#ab995b6d68caf4d43172a0de6ee363eb0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
< InputIterator >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ace5d8a6b9ca11eeadd9d13e451651996">psimpl::math::line_distance2</a> (InputIterator l1, InputIterator l2, InputIterator p)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared distance between an infinite line (l1, l2) and a point p. <a href="#ace5d8a6b9ca11eeadd9d13e451651996"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
< InputIterator >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4f3ff418f290d1125622c2388ab976d0">psimpl::math::segment_distance2</a> (InputIterator s1, InputIterator s2, InputIterator p)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared distance between a line segment (s1, s2) and a point p. <a href="#a4f3ff418f290d1125622c2388ab976d0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
< InputIterator >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4b9426204b9964b859b059cc7fbce61a">psimpl::math::ray_distance2</a> (InputIterator r1, InputIterator r2, InputIterator p)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared distance between a ray (r1, r2) and a point p. <a href="#a4b9426204b9964b859b059cc7fbce61a"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class InputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Statistics </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab162cc6f5efcf619c7327b45c793c969">psimpl::math::compute_statistics</a> (InputIterator first, InputIterator last)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes various statistics for the range [first, last) <a href="#ab162cc6f5efcf619c7327b45c793c969"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">psimpl::simplify_nth_point</a> (ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the nth point routine (NP). <a href="#a1a805a9e3eef7ca46bffae71a8b49dc0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">psimpl::simplify_radial_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the (radial) distance between points routine (RD). <a href="#a12f4b63e11188c5293fe3effabbfba31"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aa8c86b0f1529d529fc2ff84d09b00101">psimpl::simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, unsigned repeat, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Repeatedly performs the perpendicular distance routine (PD). <a href="#aa8c86b0f1529d529fc2ff84d09b00101"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">psimpl::simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the perpendicular distance routine (PD). <a href="#a71a8cbb4f1ebd41a5897c8174bdf8617"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">psimpl::simplify_reumann_witkam</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Reumann-Witkam polyline simplification (RW). <a href="#a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">psimpl::simplify_opheim</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type min_tol, typename std::iterator_traits< ForwardIterator >::value_type max_tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Opheim polyline simplification (OP). <a href="#a433d47ec86872f64bdc2bc792e6444ca"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class BidirectionalIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">psimpl::simplify_lang</a> (BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits< BidirectionalIterator >::value_type tol, unsigned look_ahead, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Lang polyline simplification (LA). <a href="#a241debcb1ad56aa1046f4a4996922411"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">psimpl::simplify_douglas_peucker</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Douglas-Peucker polyline simplification (DP). <a href="#ab71cedd762eee4006a85f4321fca6cad"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">psimpl::simplify_douglas_peucker_n</a> (ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs a variant of Douglas-Peucker polyline simplification (DPn). <a href="#aeff1b138293ca9cfb855d7e1f69dacf5"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">psimpl::compute_positional_errors2</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared positional error between a polyline and its simplification. <a href="#a187709033361ba469a60c3a848328118"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">math::Statistics </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">psimpl::compute_positional_error_statistics</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes statistics for the positional errors between a polyline and its simplification. <a href="#a16418e391940b20609bc48289e7222a4"></a><br/></td></tr>
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