414f72bea3
[SVN r83804]
536 lines
25 KiB
HTML
536 lines
25 KiB
HTML
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<head>
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<!--
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Copyright 2009-2010 Intel Corporation
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license banner
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-->
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<title>Boost Polygon Library: Point Concept</title>
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<meta http-equiv="content-type" content="text/html;charset=ISO-8859-1" />
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<!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
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</head>
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<body>
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<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0"
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cellpadding="0" cellspacing="0">
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<tbody>
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<tr>
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<td style="background-color: rgb(238, 238, 238);" nowrap="1"
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valign="top">
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<div style="padding: 5px;" align="center"> <img
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src="images/boost.png" border="0" height="86" width="277" /><a
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title="www.boost.org home page" href="http://www.boost.org/"
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tabindex="2" style="border: medium none ;"> </a> </div>
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<div style="margin: 5px;">
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<h3 class="navbar">Contents</h3>
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<ul>
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<li><a href="index.htm">Boost.Polygon Main Page</a></li>
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<li><a href="gtl_design_overview.htm">Design Overview</a></li>
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<li><a href="gtl_isotropy.htm">Isotropy</a></li>
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<li><a href="gtl_coordinate_concept.htm">Coordinate Concept</a></li>
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<li><a href="gtl_interval_concept.htm">Interval Concept</a></li>
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<li>Point Concept</li>
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<li><a href="gtl_segment_concept.htm">Segment Concept</a></li>
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<li><a href="gtl_rectangle_concept.htm">Rectangle Concept</a></li>
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<li><a href="gtl_polygon_90_concept.htm">Polygon 90 Concept</a></li>
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<li><a href="gtl_polygon_90_with_holes_concept.htm">Polygon 90
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With Holes Concept</a></li>
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<li><a href="gtl_polygon_45_concept.htm">Polygon 45 Concept</a></li>
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<li><a href="gtl_polygon_45_with_holes_concept.htm">Polygon 45
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With Holes Concept</a></li>
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<li><a href="gtl_polygon_concept.htm">Polygon Concept</a></li>
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<li><a href="gtl_polygon_with_holes_concept.htm">Polygon With
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Holes Concept</a></li>
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<li><a href="gtl_polygon_90_set_concept.htm">Polygon 90 Set
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Concept</a></li>
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<li><a href="gtl_polygon_45_set_concept.htm">Polygon 45 Set
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Concept</a></li>
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<li><a href="gtl_polygon_set_concept.htm">Polygon Set Concept</a></li>
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<li><a href="gtl_connectivity_extraction_90.htm">Connectivity
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Extraction 90</a></li>
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<li><a href="gtl_connectivity_extraction_45.htm">Connectivity
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Extraction 45</a></li>
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<li><a href="gtl_connectivity_extraction.htm">Connectivity
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Extraction</a></li>
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<li><a href="gtl_property_merge_90.htm">Property Merge 90</a></li>
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<li><a href="gtl_property_merge_45.htm">Property Merge 45</a></li>
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<li><a href="gtl_property_merge.htm">Property Merge</a></li>
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<li><a href="voronoi_main.htm">Voronoi Main Page<br />
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</a></li>
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<li><a href="voronoi_benchmark.htm">Voronoi Benchmark</a><br />
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</li>
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<li><a href="voronoi_builder.htm">Voronoi Builder</a></li>
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<li><a href="voronoi_diagram.htm">Voronoi Diagram</a></li>
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</ul>
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<h3 class="navbar">Other Resources</h3>
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<ul>
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<li><a href="GTL_boostcon2009.pdf">GTL Boostcon 2009 Paper</a></li>
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<li><a href="GTL_boostcon_draft03.pdf">GTL Boostcon 2009
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Presentation</a></li>
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<li><a href="analysis.htm">Performance Analysis</a></li>
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<li><a href="gtl_tutorial.htm">Layout Versus Schematic Tutorial</a></li>
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<li><a href="gtl_minkowski_tutorial.htm">Minkowski Sum Tutorial</a></li>
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<li><a href="voronoi_basic_tutorial.htm">Voronoi Basic Tutorial</a></li>
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<li><a href="voronoi_advanced_tutorial.htm">Voronoi Advanced
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Tutorial</a></li>
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</ul>
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</div>
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<h3 class="navbar">Polygon Sponsor</h3>
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<div style="padding: 5px;" align="center"> <img
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src="images/intlogo.gif" border="0" height="51" width="127" /><a
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title="www.adobe.com home page" href="http://www.adobe.com/"
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tabindex="2" style="border: medium none ;"> </a> </div>
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</td>
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<td
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style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;"
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valign="top" width="100%">
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<!-- End Header --><br />
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<p>
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</p>
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<h1>Point Concept</h1>
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<p> </p>
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<p> The point concept tag is <font face="Courier New">
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point_concept</font></p>
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<p> To register a user defined type as a model of point concept,
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specialize the geometry concept meta-function for that type. In
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the example below <span
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style="font-family: Courier New,Courier,monospace;">CPoint</span> is
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registered as a model of point concept.</p>
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<p> <font face="Courier New">template <><br />
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struct geometry_concept<CPoint> { typedef point_concept type; };</font></p>
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<p> The semantic of a point is that it has an x and y
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coordinate. A std::pair<int, int>, boost::tuple<int,
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int> or boost::array<int, 2> could all be made models of point
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by simply providing indirect access to their elements through traits,
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however, these objects cannot be made a model of both point and
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interval in the same compilation unit, for obvious reason that
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duplicate specialization of the geometry_concept struct is illegal, but
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also because it would make overloading generic function by concept
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ambiguous if a type modeled more than one concept.</p>
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<p> Below is shown the default point traits. Specialization
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of these traits is required for types that don't conform to the default
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behavior.</p>
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<p style="font-family: Courier New,Courier,monospace;"> template
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<typename T><br />
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struct point_traits {<br />
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typedef typename T::coordinate_type
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coordinate_type;<br />
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<br />
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static coordinate_type get(const T& point,
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orientation_2d orient) {<br />
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return
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point.get(orient);
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<br />
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}<br />
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};<br />
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<br />
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template <typename T><br />
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struct point_mutable_traits {<br />
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typedef typename T::coordinate_type
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coordinate_type;<br />
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<br />
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static void set(T& point, orientation_2d
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orient, typename point_traits<T>::coordinate_type value) {<br />
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point.set(orient, value);
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<br />
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}<br />
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static T construct(typename
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point_traits<T>::coordinate_type x_value,<br />
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typename point_traits<T>::coordinate_type y_value) {<br />
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return
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T(x_value, y_value);
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<br />
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}<br />
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};</p>
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<p> Example code <a href="gtl_custom_point.htm">custom_point.cpp</a>
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demonstrates how to map a user defined point class to the library
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point_concept</p>
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<h2>Functions</h2>
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<table id="table1" border="1" width="100%">
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<tbody>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType><br />
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coordinate_type <b>get</b>(const PointType& point,<br />
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orientation_2d)</font></td>
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<td>Expects a model of point. Returns the x or y coordinate
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of the point, depending on the orientation_2d value.<br />
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</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType><br />
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void <b>set</b>(PointType& point, orientation_2d,<br />
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coordinate_type)</font></td>
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<td>Expects a model of point. Sets the x or y coordinate of
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the point to the coordinate, depending on the orientation_2d
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value. </td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType><br />
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PointType <b>construct</b>(coordinate_type x,<br />
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coordinate_type y)</font></td>
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<td>Construct an object that is a model of point given x
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and y coordinate values.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType1, typename PointType2><br />
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PointType1& <b>assign</b>(PointType1& left,<br />
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const PointType2& right)</font></td>
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<td>Copies data from right object that models point into
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left object that models point.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType1, typename PointType2><br />
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bool <b>equivalence</b>(const </font><font face="Courier New">PointType1</font><font
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face="Courier New">& point1,<br />
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const </font><font face="Courier New">PointType2</font><font
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face="Courier New">& point2)</font></td>
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<td>Given two objects that model point, compares and
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returns true if their x and y values are respectively equal to each
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other.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename PointType><br />
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coordinate_type <b>x</b>(const </font><font face="Courier New">PointType</font><font
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face="Courier New">& point)</font></td>
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<td>Returns the x coordinate of an object that models point.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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coordinate_type <b>y</b>(const </font><font face="Courier New">PointType</font><font
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face="Courier New">& point)</font></td>
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<td>Returns the y coordinate of an object that models point.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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void <b>x</b>(p</font><font face="Courier New">PointType</font><font
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face="Courier New">& point, coordinate_type )</font></td>
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<td>Sets the x coordinate of the object that models point
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to the coordinate value. </td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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void <b>y</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point, coordinate_type )</font></td>
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<td>Sets the y coordinate of the object that models point
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to the coordinate value. </td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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point_type& <b>scale_up</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point, <br />
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unsigned_area_type factor)</font></td>
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<td>Multiplies x and y coordinate of an object that models
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point by unsigned factor.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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point_type& <b>scale_down</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point, <br />
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unsigned_area_type factor)</font></td>
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<td>Divides x and y coordinate of an object that models
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point by unsigned factor.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">, typename scaling_type><br />
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point_type& <b>scale</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point,<br />
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const scaling_type& factor) </font></td>
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<td>Calls the scale member function of scaling type on the
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x and y value of an object that models point and sets the point to the
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scaled values.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">, typename transform_type><br />
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point_type& <b>transform</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point,<br />
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const transform_type& transform) </font></td>
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<td>Calls the transform member function of transform type
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on the x and y value of an object that models point and sets the point
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to the transformed values.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">><br />
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point_type& <b>move</b>(</font><font face="Courier New">PointType</font><font
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face="Courier New">& point, orientation_2d,<br />
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coordinate_difference displacement)</font></td>
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<td>Adds displacement value to the coordinate of an object
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that models point indicated by the orientation_2d.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1, typename PointType2><br />
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</font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">& <b>convolve</b>(</font><font
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face="Courier New">PointType</font><font face="Courier New">1</font><font
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face="Courier New">& a,<br />
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const </font><font face="Courier New">PointType2</font><font
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face="Courier New">& b)</font></td>
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<td>Adds x coordinate of b to x coordinate of a and adds y
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coordinate of b to y coordinate of a.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">, typename </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">><br />
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</font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">,</font><font
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face="Courier New">& <b>deconvolve</b>(</font><font
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face="Courier New">PointType</font><font face="Courier New">1</font><font
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face="Courier New">& a,<br />
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const </font><font face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">></font><font
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face="Courier New">& b)</font></td>
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<td>Subtracts x coordinate of b from x coordinate of a and
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subtracts y coordinate of b from y coordinate of a. </td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template
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<typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">, typename </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">><br />
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distance_type <b>euclidean_distance</b>(<br />
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const </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">&, const </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">&)</font></td>
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<td>Returns the distance from an object that models point
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to a second object that models point.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template <</font><font
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face="Courier New">typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">, typename </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">><br />
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coordinate_difference <b>euclidean_distance</b>(<br />
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const </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">&, </font><font
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face="Courier New">const PointType</font><span
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style="font-family: Courier New;">2&,</span><font
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face="Courier New"> orientation_2d)</font></td>
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<td>Returns the distance from an object that models point
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to a coordinate in the given orientation_2d.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template <</font><font
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face="Courier New">typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">, typename </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">><br />
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coordinate_difference <b>manhattan_distance</b>(<br />
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</font><font face="Courier New">const </font><font
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face="Courier New">PointType</font><font face="Courier New">1</font><font
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face="Courier New">&, </font><font face="Courier New">const
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PointType</font><span style="font-family: Courier New;">2&</span><font
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face="Courier New">)</font></td>
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<td>Returns the distance in x plus the distance in y from
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an object that models point to a second object that models point.</td>
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</tr>
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<tr>
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<td width="586"><font face="Courier New">template <</font><font
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face="Courier New">typename </font><font face="Courier New">PointType</font><font
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face="Courier New">1</font><font face="Courier New">, typename </font><font
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face="Courier New">PointType</font><span
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style="font-family: Courier New;">2</span><font face="Courier New">><br />
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coordinate_difference <b>distance_squared</b>(<br />
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</font><font face="Courier New">const </font><font
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face="Courier New">PointType</font><font face="Courier New">1</font><font
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face="Courier New">&, </font><font face="Courier New">const
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PointType</font><span style="font-family: Courier New;">2&</span><font
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face="Courier New">)</font></td>
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<td>Returns the square of the distance in x plus the square
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of the distance in y from an object that models point to a second
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object that models point.</td>
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</tr>
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</tbody>
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</table>
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<h1>Point Data</h1>
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<p> </p>
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<p>The library provides a model of point concept declared
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<font face="Courier New">template<typename T> point_data </font>where
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T is the coordinate type.</p>
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<p>This data type is used internally when a point is needed and
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is available to the library user who finds it convenient to use a
|
||
library point data type instead of providing their own. The data
|
||
type is implemented to be convenient to use with the library traits.</p>
|
||
<p>Example code <a href="gtl_point_usage.htm">point_usage.cpp</a>
|
||
demonstrates using the library provided point data type and functions</p>
|
||
<h2>Members</h2>
|
||
<table id="table2" border="1" width="100%">
|
||
<tbody>
|
||
<tr>
|
||
<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
|
||
<td>T</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b>point_data</b>()</font></td>
|
||
<td>Default constructs the two coordinate values of the
|
||
point.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b>point_data</b>(T
|
||
x, T y)</font></td>
|
||
<td>Constructs an interval with two coordinates.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b>point_data</b>(const
|
||
point_data& that)</font></td>
|
||
<td>Copy construct</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">point_data& <b>operator=</b>(const
|
||
point_data& that)</font></td>
|
||
<td>Assignment operator.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">template
|
||
<typename PointType><br />
|
||
point_data& <b>operator=</b>(const PointType& that) const</font></td>
|
||
<td>Assign from an object that is a model of point.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">bool<b> operator==</b>(const
|
||
</font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Equality operator overload.<br />
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">bool<b> operator!=</b>(const
|
||
</font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Inequality operator overload.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b> </b>bool<b>
|
||
operator<</b>(const </font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Compares y coordinates then x coordinates to break ties.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b> </b>bool<b>
|
||
operator<=</b>(const </font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Compares y coordinates then x coordinates to break ties.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New"><b> </b>bool<b>
|
||
operator></b>(const </font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Compares low coordinates then high coordinates to break
|
||
ties.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">bool<b>
|
||
operator>=</b>(const </font><font face="Courier New">point_data</font><font
|
||
face="Courier New">& that) const</font></td>
|
||
<td>Compares low coordinates then high coordinates to break
|
||
ties.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">T <b>get</b>(orientation_2d
|
||
orient) const</font></td>
|
||
<td>Get the coordinate in the given orientation.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">T <b>x</b>() const</font></td>
|
||
<td>Get the coordinate in the horizontal orientation.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">T <b>y</b>() const</font></td>
|
||
<td>Get the coordinate in the vertical orientation.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">void <b>set</b>(orientation_2d
|
||
orient, T value)</font></td>
|
||
<td>Sets the coordinate in the given orientation to the
|
||
value.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">void <b>x</b>(T
|
||
value)</font></td>
|
||
<td>Sets the coordinate in the horizontal orientation to
|
||
the value.</td>
|
||
</tr>
|
||
<tr>
|
||
<td width="586"><font face="Courier New">void <b>y</b>(T
|
||
value)</font></td>
|
||
<td>Sets the coordinate in the vertical orientation to the
|
||
value.</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td style="background-color: rgb(238, 238, 238);" nowrap="1"
|
||
valign="top"> </td>
|
||
<td
|
||
style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;"
|
||
valign="top" width="100%">
|
||
<table class="docinfo" id="table3" frame="void" rules="none">
|
||
<colgroup> <col class="docinfo-name" /><col
|
||
class="docinfo-content" /> </colgroup> <tbody valign="top">
|
||
<tr>
|
||
<th class="docinfo-name">Copyright:</th>
|
||
<td>Copyright <20> Intel Corporation 2008-2010.</td>
|
||
</tr>
|
||
<tr class="field">
|
||
<th class="docinfo-name">License:</th>
|
||
<td class="field-body">Distributed under the Boost Software
|
||
License, Version 1.0. (See accompanying file <tt class="literal"> <span
|
||
class="pre">LICENSE_1_0.txt</span></tt> or copy at <a
|
||
class="reference" target="_top"
|
||
href="http://www.boost.org/LICENSE_1_0.txt">
|
||
http://www.boost.org/LICENSE_1_0.txt</a>)</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</body>
|
||
</html>
|