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authorAnas Nashif <anas.nashif@intel.com>2012-10-30 12:57:26 -0700
committerAnas Nashif <anas.nashif@intel.com>2012-10-30 12:57:26 -0700
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+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>sym_difference</title>
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+</div>
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+<div class="titlepage"><div><div><h4 class="title">
+<a name="geometry.reference.algorithms.sym_difference"></a><a class="link" href="sym_difference.html" title="sym_difference">sym_difference</a>
+</h4></div></div></div>
+<p>
+ <a class="indexterm" name="id903442"></a>
+Calculate the symmetric difference of two geometries.
+ </p>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h0"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.description"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.description">Description</a>
+ </h6>
+<p>
+ The free function symmetric difference calculates the spatial set theoretic
+ symmetric difference (XOR) of two geometries.
+ </p>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h1"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.synopsis"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.synopsis">Synopsis</a>
+ </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Geometry1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Geometry2</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Collection</span><span class="special">&gt;</span>
+<span class="keyword">void</span> <span class="identifier">sym_difference</span><span class="special">(</span><span class="identifier">Geometry1</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">geometry1</span><span class="special">,</span> <span class="identifier">Geometry2</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">geometry2</span><span class="special">,</span> <span class="identifier">Collection</span> <span class="special">&amp;</span> <span class="identifier">output_collection</span><span class="special">)</span></pre>
+<p>
+ </p>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h2"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.parameters"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.parameters">Parameters</a>
+ </h6>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+ <p>
+ Type
+ </p>
+ </th>
+<th>
+ <p>
+ Concept
+ </p>
+ </th>
+<th>
+ <p>
+ Name
+ </p>
+ </th>
+<th>
+ <p>
+ Description
+ </p>
+ </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+ <p>
+ Geometry1 const &amp;
+ </p>
+ </td>
+<td>
+ <p>
+ Any type fulfilling a Geometry Concept
+ </p>
+ </td>
+<td>
+ <p>
+ geometry1
+ </p>
+ </td>
+<td>
+ <p>
+ A model of the specified concept
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ Geometry2 const &amp;
+ </p>
+ </td>
+<td>
+ <p>
+ Any type fulfilling a Geometry Concept
+ </p>
+ </td>
+<td>
+ <p>
+ geometry2
+ </p>
+ </td>
+<td>
+ <p>
+ A model of the specified concept
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ Collection &amp;
+ </p>
+ </td>
+<td>
+ <p>
+ output collection, either a multi-geometry, or a std::vector&lt;Geometry&gt;
+ / std::deque&lt;Geometry&gt; etc
+ </p>
+ </td>
+<td>
+ <p>
+ output_collection
+ </p>
+ </td>
+<td>
+ <p>
+ the output collection
+ </p>
+ </td>
+</tr>
+</tbody>
+</table></div>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h3"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.header"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.header">Header</a>
+ </h6>
+<p>
+ Either
+ </p>
+<p>
+ <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+ </p>
+<p>
+ Or
+ </p>
+<p>
+ <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">algorithms</span><span class="special">/</span><span class="identifier">sym_difference</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+ </p>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h4"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.conformance"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.conformance">Conformance</a>
+ </h6>
+<p>
+ The function sym_difference implements function SymDifference from the
+ <a href="http://www.opengeospatial.org/standards/sfa" target="_top">OGC Simple Feature
+ Specification</a>.
+ </p>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h5"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.behavior"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.behavior">Behavior</a>
+ </h6>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+ <p>
+ Case
+ </p>
+ </th>
+<th>
+ <p>
+ Behavior
+ </p>
+ </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+ <p>
+ areal (e.g. polygon)
+ </p>
+ </td>
+<td>
+ <p>
+ All combinations of: box, ring, polygon, multi_polygon
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ linear (e.g. linestring) / areal (e.g. polygon)
+ </p>
+ </td>
+<td>
+ <p>
+ A combinations of a (multi) linestring with a (multi) polygon
+ results in a collection of linestrings
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ Other geometries
+ </p>
+ </td>
+<td>
+ <p>
+ Not yet supported in this version
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ Spherical
+ </p>
+ </td>
+<td>
+ <p>
+ Not yet supported in this version
+ </p>
+ </td>
+</tr>
+<tr>
+<td>
+ <p>
+ Three dimensional
+ </p>
+ </td>
+<td>
+ <p>
+ Not yet supported in this version
+ </p>
+ </td>
+</tr>
+</tbody>
+</table></div>
+<div class="note"><table border="0" summary="Note">
+<tr>
+<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../doc/src/images/note.png"></td>
+<th align="left">Note</th>
+</tr>
+<tr><td align="left" valign="top"><p>
+ Check the <a class="link" href="../concepts/concept_polygon.html" title="Polygon Concept">Polygon
+ Concept</a> for the rules that polygon input for this algorithm should
+ fulfill
+ </p></td></tr>
+</table></div>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h6"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.example"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.example">Example</a>
+ </h6>
+<p>
+ Shows how to calculate the symmetric difference (XOR) of two polygons
+ </p>
+<p>
+</p>
+<pre class="programlisting"><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">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">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">geometries</span><span class="special">/</span><span class="identifier">point_xy</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">multi</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">/</span><span class="identifier">multi_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">io</span><span class="special">/</span><span class="identifier">wkt</span><span class="special">/</span><span class="identifier">wkt</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">foreach</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</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">boost</span><span class="special">::</span><span class="identifier">geometry</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">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">d2</span><span class="special">::</span><span class="identifier">point_xy</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">polygon</span><span class="special">;</span>
+
+ <span class="identifier">polygon</span> <span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</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">read_wkt</span><span class="special">(</span>
+ <span class="string">"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)"</span>
+ <span class="string">"(4.0 2.0, 4.2 1.4, 4.8 1.9, 4.4 2.2, 4.0 2.0))"</span><span class="special">,</span> <span class="identifier">green</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">read_wkt</span><span class="special">(</span>
+ <span class="string">"POLYGON((4.0 -0.5 , 3.5 1.0 , 2.0 1.5 , 3.5 2.0 , 4.0 3.5 , 4.5 2.0 , 6.0 1.5 , 4.5 1.0 , 4.0 -0.5))"</span><span class="special">,</span> <span class="identifier">blue</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">model</span><span class="special">::</span><span class="identifier">multi_polygon</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;</span> <span class="identifier">multi</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">sym_difference</span><span class="special">(</span><span class="identifier">green</span><span class="special">,</span> <span class="identifier">blue</span><span class="special">,</span> <span class="identifier">multi</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">"green XOR blue:"</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span>
+ <span class="special">&lt;&lt;</span> <span class="string">"total: "</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">multi</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">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</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">multi</span><span class="special">)</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">i</span><span class="special">++</span> <span class="special">&lt;&lt;</span> <span class="string">": "</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</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="special">}</span>
+
+
+ <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
+<span class="special">}</span>
+</pre>
+<p>
+ </p>
+<p>
+ Output:
+ </p>
+<pre class="programlisting">green XOR blue:
+total: 3.1459
+0: 0.02375
+1: 0.542951
+2: 0.0149697
+3: 0.226855
+4: 0.839424
+5: 0.525154
+6: 0.015
+7: 0.181136
+8: 0.128798
+9: 0.340083
+10: 0.307778
+
+<img src="../../../img/algorithms/sym_difference.png" alt="sym_difference">
+
+</pre>
+<h6>
+<a name="geometry.reference.algorithms.sym_difference.h7"></a>
+ <span><a name="geometry.reference.algorithms.sym_difference.see_also"></a></span><a class="link" href="sym_difference.html#geometry.reference.algorithms.sym_difference.see_also">See also</a>
+ </h6>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+ <a class="link" href="difference.html" title="difference">difference</a>
+ </li>
+<li class="listitem">
+ <a class="link" href="intersection.html" title="intersection">intersection</a>
+ </li>
+<li class="listitem">
+ <a class="link" href="union_.html" title="union_">union</a>
+ </li>
+</ul></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2009-2012 Barend
+ Gehrels, Bruno Lalande, Mateusz Loskot<p>
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ 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>)
+ </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="simplify/simplify_3.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../algorithms.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="transform.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
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