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+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Box Concept</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="../concepts.html" title="Concepts">
+<link rel="prev" href="concept_multi_polygon.html" title="MultiPolygon Concept">
+<link rel="next" href="concept_ring.html" title="Ring Concept">
+</head>
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+<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="concept_multi_polygon.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.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="concept_ring.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.concepts.concept_box"></a><a class="link" href="concept_box.html" title="Box Concept">Box Concept</a>
+</h4></div></div></div>
+<h6>
+<a name="geometry.reference.concepts.concept_box.h0"></a>
+ <span class="phrase"><a name="geometry.reference.concepts.concept_box.description"></a></span><a class="link" href="concept_box.html#geometry.reference.concepts.concept_box.description">Description</a>
+ </h6>
+<p>
+ The Box Concept describes the requirements for a box type. All algorithms
+ in Boost.Geometry will check any geometry arguments against the concept
+ requirements.
+ </p>
+<p>
+ A box is a geometry with (usually) two or three dimensions, having its
+ axis aligned to the coordinate system.
+ </p>
+<p>
+ The box is not one of the basic types in Boost.Geometry (point, linestring,
+ polygon) but it is a <span class="emphasis"><em>helper type</em></span>. The main reasons
+ for the box existance are its usefulness for indexing (a spatial index,
+ or splitting a geometry into monotonic sections) and it is the output of
+ the <a class="link" href="../algorithms/envelope.html" title="envelope">envelope</a>
+ algorithm.
+ </p>
+<p>
+ Therefore, a box is axis aligned (the envelope is also called aabb, axis
+ aligned bounding box).
+ </p>
+<h6>
+<a name="geometry.reference.concepts.concept_box.h1"></a>
+ <span class="phrase"><a name="geometry.reference.concepts.concept_box.concept_definition"></a></span><a class="link" href="concept_box.html#geometry.reference.concepts.concept_box.concept_definition">Concept
+ Definition</a>
+ </h6>
+<p>
+ The Box Concept is defined as following:
+ </p>
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
+<li class="listitem">
+ there must be a specialization of <code class="computeroutput"><span class="identifier">traits</span><span class="special">::</span><span class="identifier">tag</span></code>,
+ defining <code class="computeroutput"><span class="identifier">box_tag</span></code> as
+ type
+ </li>
+<li class="listitem">
+ there must be a specialization of <code class="computeroutput"><span class="identifier">traits</span><span class="special">::</span><span class="identifier">point_type</span></code>
+ to define the underlying point type (even if it does not consist of
+ points, it should define this type, to indicate the points it can work
+ with)
+ </li>
+<li class="listitem">
+ there must be a specialization of <code class="computeroutput"><span class="identifier">traits</span><span class="special">::</span><span class="identifier">indexed_access</span></code>,
+ per index (<code class="computeroutput"><span class="identifier">min_corner</span></code>,
+ <code class="computeroutput"><span class="identifier">max_corner</span></code>) and per
+ dimension, with two functions:
+ <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
+<li class="listitem">
+ <code class="computeroutput"><span class="identifier">get</span></code> to get a
+ coordinate value
+ </li>
+<li class="listitem">
+ <code class="computeroutput"><span class="identifier">set</span></code> to set a
+ coordinate value (this one is not checked for ConstBox)
+ </li>
+</ul></div>
+ </li>
+</ul></div>
+<h6>
+<a name="geometry.reference.concepts.concept_box.h2"></a>
+ <span class="phrase"><a name="geometry.reference.concepts.concept_box.available_models"></a></span><a class="link" href="concept_box.html#geometry.reference.concepts.concept_box.available_models">Available
+ Models</a>
+ </h6>
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
+ <a class="link" href="../models/model_box.html" title="model::box">model::box</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; 2009-2013 Barend Gehrels, Bruno Lalande, Mateusz Loskot, Adam Wulkiewicz<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="concept_multi_polygon.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.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="concept_ring.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>