blob: 7c14722f1d338ced8292472ac5e60969cdadde72 [file] [log] [blame]
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>intersection</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.78.1">
<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Geometry">
<link rel="up" href="../algorithms.html" title="Algorithms">
<link rel="prev" href="for_each/for_each_segment.html" title="for_each_segment">
<link rel="next" href="intersects.html" title="intersects">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
<table cellpadding="2" width="100%"><tr>
<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../boost.png"></td>
<td align="center"><a href="../../../../../../../index.html">Home</a></td>
<td align="center"><a href="../../../../../../../libs/libraries.htm">Libraries</a></td>
<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
<td align="center"><a href="../../../../../../../more/index.htm">More</a></td>
</tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="for_each/for_each_segment.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="intersects.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="geometry.reference.algorithms.intersection"></a><a class="link" href="intersection.html" title="intersection">intersection</a>
</h4></div></div></div>
<p>
<a class="indexterm" name="idp114310272"></a>
Calculate the intersection of two geometries.
</p>
<h6>
<a name="geometry.reference.algorithms.intersection.h0"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.description"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.description">Description</a>
</h6>
<p>
The free function intersection calculates the spatial set theoretic intersection
of two geometries.
</p>
<h6>
<a name="geometry.reference.algorithms.intersection.h1"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.synopsis"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.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">GeometryOut</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">intersection</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">GeometryOut</span> <span class="special">&amp;</span> <span class="identifier">geometry_out</span><span class="special">)</span></pre>
<p>
</p>
<h6>
<a name="geometry.reference.algorithms.intersection.h2"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.parameters"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.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>
GeometryOut &amp;
</p>
</td>
<td>
<p>
Collection of geometries (e.g. std::vector, std::deque, boost::geometry::multi*)
of which the value_type fulfills a Point, LineString or Polygon
concept, or it is the output geometry (e.g. for a box)
</p>
</td>
<td>
<p>
geometry_out
</p>
</td>
<td>
<p>
The output geometry, either a multi_point, multi_polygon, multi_linestring,
or a box (for intersection of two boxes)
</p>
</td>
</tr>
</tbody>
</table></div>
<h6>
<a name="geometry.reference.algorithms.intersection.h3"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.header"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.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">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">intersection</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
</p>
<h6>
<a name="geometry.reference.algorithms.intersection.h4"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.conformance"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.conformance">Conformance</a>
</h6>
<p>
The function intersection implements function Intersection from the <a href="http://www.opengeospatial.org/standards/sfa" target="_top">OGC Simple Feature Specification</a>.
</p>
<h6>
<a name="geometry.reference.algorithms.intersection.h5"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.behavior"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.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>
GeometryOut is a Point
</p>
</td>
<td>
<p>
Calculates intersection points of input geometries
</p>
</td>
</tr>
<tr>
<td>
<p>
GeometryOut is a Linestring
</p>
</td>
<td>
<p>
Calculates intersection linestrings of input (multi)linestrings
</p>
</td>
</tr>
<tr>
<td>
<p>
GeometryOut is a Polygon
</p>
</td>
<td>
<p>
Calculates intersection polygons of input (multi)polygons and/or
boxes
</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.intersection.h6"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.example"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.example">Example</a>
</h6>
<p>
Shows the intersection 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">deque</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">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">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">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">std</span><span class="special">::</span><span class="identifier">deque</span><span class="special">&lt;</span><span class="identifier">polygon</span><span class="special">&gt;</span> <span class="identifier">output</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">intersection</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">output</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">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"green &amp;&amp; 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">;</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">output</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 &amp;&amp; blue:
0: 2.50205
<img src="../../../img/algorithms/intersection.png" alt="intersection">
</pre>
<h6>
<a name="geometry.reference.algorithms.intersection.h7"></a>
<span class="phrase"><a name="geometry.reference.algorithms.intersection.see_also"></a></span><a class="link" href="intersection.html#geometry.reference.algorithms.intersection.see_also">See also</a>
</h6>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<a class="link" href="union_.html" title="union_">union</a>
</li>
<li class="listitem">
<a class="link" href="difference.html" title="difference">difference</a>
</li>
<li class="listitem">
<a class="link" href="sym_difference.html" title="sym_difference">sym_difference
(symmetric difference)</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; 2009-2015 Barend Gehrels, Bruno Lalande,
Mateusz Loskot, Adam Wulkiewicz, Oracle and/or its affiliates<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="for_each/for_each_segment.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="intersects.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
</body>
</html>