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| <title>Boost Polygon Library: Polygon 90 Concept</title> |
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| <h3 class="navbar">Contents</h3> |
| <ul> |
| <li><a href="index.htm">Boost.Polygon Main Page</a></li> |
| <li><a href="gtl_design_overview.htm">Design Overview</a></li> |
| <li><a href="gtl_isotropy.htm">Isotropy</a></li> |
| <li><a href="gtl_coordinate_concept.htm">Coordinate Concept</a></li> |
| <li><a href="gtl_interval_concept.htm">Interval Concept</a></li> |
| <li><a href="gtl_point_concept.htm">Point Concept</a></li> |
| <li><a href="gtl_segment_concept.htm">Segment Concept</a></li> |
| <li><a href="gtl_rectangle_concept.htm">Rectangle Concept</a></li> |
| <li>Polygon 90 Concept</li> |
| <li><a href="gtl_polygon_90_with_holes_concept.htm">Polygon 90 |
| With Holes Concept</a></li> |
| <li><a href="gtl_polygon_45_concept.htm">Polygon 45 Concept</a></li> |
| <li><a href="gtl_polygon_45_with_holes_concept.htm">Polygon 45 |
| With Holes Concept</a></li> |
| <li><a href="gtl_polygon_concept.htm">Polygon Concept</a></li> |
| <li><a href="gtl_polygon_with_holes_concept.htm">Polygon With |
| Holes Concept</a></li> |
| <li><a href="gtl_polygon_90_set_concept.htm">Polygon 90 Set |
| Concept</a></li> |
| <li><a href="gtl_polygon_45_set_concept.htm">Polygon 45 Set |
| Concept</a></li> |
| <li><a href="gtl_polygon_set_concept.htm">Polygon Set Concept</a></li> |
| <li><a href="gtl_connectivity_extraction_90.htm">Connectivity |
| Extraction 90</a></li> |
| <li><a href="gtl_connectivity_extraction_45.htm">Connectivity |
| Extraction 45</a></li> |
| <li><a href="gtl_connectivity_extraction.htm">Connectivity |
| Extraction</a></li> |
| <li><a href="gtl_property_merge_90.htm">Property Merge 90</a></li> |
| <li><a href="gtl_property_merge_45.htm">Property Merge 45</a></li> |
| <li><a href="gtl_property_merge.htm">Property Merge</a></li> |
| <li><a href="voronoi_main.htm">Voronoi Main Page<br /> |
| </a></li> |
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| <li><a href="voronoi_diagram.htm">Voronoi Diagram</a></li> |
| </ul> |
| <h3 class="navbar">Other Resources</h3> |
| <ul> |
| <li><a href="GTL_boostcon2009.pdf">GTL Boostcon 2009 Paper</a></li> |
| <li><a href="GTL_boostcon_draft03.pdf">GTL Boostcon 2009 |
| Presentation</a></li> |
| <li><a href="analysis.htm">Performance Analysis</a></li> |
| <li><a href="gtl_tutorial.htm">Layout Versus Schematic Tutorial</a></li> |
| <li><a href="gtl_minkowski_tutorial.htm">Minkowski Sum Tutorial</a></li> |
| <li><a href="voronoi_basic_tutorial.htm">Voronoi Basic Tutorial</a></li> |
| <li><a href="voronoi_advanced_tutorial.htm">Voronoi Advanced |
| Tutorial</a></li> |
| </ul> |
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| <h3 class="navbar">Polygon Sponsor</h3> |
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| <p> |
| </p> |
| <h1>Polygon 90 Concept</h1> |
| <p> </p> |
| <p>The polygon_90 concept tag is <font face="Courier New"> |
| polygon_90_concept</font></p> |
| <p> To register a user defined type as a model of <font |
| face="Times New Roman">polygon_90 </font>concept, specialize the |
| geometry concept meta-function for that type. In the example |
| below CPolygon90 is registered as a model of polygon_90 concept.</p> |
| <p> <font face="Courier New">template <><br /> |
| struct geometry_concept<CPolygon90> { typedef polygon_90_concept |
| type; };</font></p> |
| <p> <font face="Times New Roman">The semantic of a polygon_90 is |
| that it can provide iterators over the x and y coordinates that |
| correspond to its horizontal and vertical sides, starting with an x |
| coordinate. A mutable polygon_90 must also be able to set its |
| geometry based on an interator range over such coordinates. Since |
| most polygons use vertex points in internal storage iterator adaptors |
| for converting to and from point sequences are provided in |
| iterator_points_to_compact.hpp and iterator_compact_to_points.hpp to |
| aid in the specialization of polygon_90_traits. A |
| std::vector<int> or std::list<int> could be made models of |
| polygon_90_concept by simply providing access to their iterators |
| through traits. Library functions that create polygon objects |
| require that those objects provide a default constructor.</font></p> |
| <p> <font face="Times New Roman">Below is shown the default |
| polygon traits. Specialization of these traits is required for |
| types that don't conform to the default behavior. Note that these |
| traits are also used by the polygon_90_with_holes concept.</font></p> |
| <p><font face="Courier New">template <typename T><br /> |
| struct polygon_90_traits {<br /> |
| typedef typename T::coordinate_type |
| coordinate_type;<br /> |
| typedef typename T::compact_iterator_type |
| compact_iterator_type;<br /> |
| static inline compact_iterator_type |
| begin_compact(const T& t) {<br /> |
| return |
| t.begin_compact();<br /> |
| }<br /> |
| static inline compact_iterator_type |
| end_compact(const T& t) {<br /> |
| return |
| t.end_compact();<br /> |
| }<br /> |
| static inline unsigned int size(const T& |
| t) {<br /> |
| return t.size();<br /> |
| }<br /> |
| static inline winding_direction winding(const |
| T& t) {<br /> |
| return |
| unknown_winding;<br /> |
| }<br /> |
| };</font></p> |
| <p><font face="Courier New">template <typename T><br /> |
| struct polygon_90_mutable_traits { <br /> |
| template <typename iT><br /> |
| static inline T& set_compact(T& t, iT |
| input_begin, iT input_end) {<br /> |
| |
| t.set_compact(input_begin, input_end);<br /> |
| return t;<br /> |
| }</font><br /> |
| <font face="Courier New">};</font></p> |
| <p>An object that is a model of <font face="Courier New"> |
| polygon_90_concept</font> can be viewed as a model of any of its |
| refinements if it is determined at runtime to conform to the |
| restriction of those concepts. This concept casting is |
| accomplished through the |
| <font face="Courier New">view_as<>()</font> function.</p> |
| <p><font face="Courier New">view_as<rectangle_concept>(polygon_90_object)</font></p> |
| <p>The return value of <font face="Courier New">view_as<>()</font> |
| can be passed into any interface that expects an object of the |
| conceptual type specified in its template parameter.</p> |
| <h2>Functions</h2> |
| <table id="table1" border="1" width="100%"> |
| <tbody> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| compact_iterator_type <b>begin_compact</b>(const T& polygon)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Returns the begin iterator over the range of |
| coordinates that correspond to horizontal and vertical edges.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| compact_iterator_type <b>end_compact</b>(const T& polygon)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Returns the end iterator over the range of |
| coordinates that correspond to horizontal and vertical edges.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_iterator_type <b>begin_points</b>(const T& polygon)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Returns the begin iterator over the range of points |
| that correspond to vertices of the polygon.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_iterator_type <b>end_points</b>(const T& polygon)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Returns the end iterator over the range of points |
| that correspond to vertices of the polygon.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename iterator><br /> |
| void <b>set_compact</b>(T& polygon, iterator b, iterator e)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Sets the polygon to the coordinate data range |
| [b,e) that corresponds to .horizontal and vertical edges.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename iterator><br /> |
| void <b>set_points</b>(T& polygon, iterator b, iterator e)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| polygon_90. Sets the polygon to the point data range [b,e) |
| that corresponds to vertices of a manhattan polygon. |
| Non-manhattan edges between successive input points results in |
| undefined behavior.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| unsigned int <b>size</b>(const T& polygon)</font></td> |
| <td><font face="Times New Roman">Returns the number of |
| edges in the polygon.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>assign</b>(T1& left, const T2& right)</font></td> |
| <td>Copies data from right object that models polygon_90 |
| into left object that models polygon_90.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| bool <b>contains</b>(const T&, const point_type& point, <br /> |
| |
| bool consider_touch=true)</font></td> |
| <td>Given an object that models polygon_90 and an object |
| that models point, returns true if the polygon contains the |
| point. If the consider_touch flag is true will return true if the |
| point lies along the boundary of the polygon. Linear wrt. |
| vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">// get the center |
| coordinate<br /> |
| template <typename T, typename point_type><br /> |
| void <b>center</b>(point_type& p, const T& polygon)</font></td> |
| <td>Sets object that models point to the center point of |
| the bounding box of an object that models polygon_90. Linear wrt. |
| vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename rectangle_type><br /> |
| bool <b>extents</b>(rectangle_type& bbox, const T& polygon)</font></td> |
| <td>Sets object that models rectangle to the bounding box |
| of an object that models polygon_90 and returns true. Returns |
| false and leaves bbox unchanged if polygon is empty. Linear wrt. |
| vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| manhattan_area_type <b>area</b>(const T& polygon)</font></td> |
| <td>Returns the area of an object that models |
| polygon_90. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| direction_1d <b>winding</b>(const T& polygon)</font></td> |
| <td>Returns the winding direction of an object that models |
| polygon_90, LOW == CLOCKWISE, HIGH = COUNTERCLOCKWISE. Complexity |
| depends upon winding trait.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_difference <b>perimeter</b>(const T& polygon)</font></td> |
| <td>Returns the perimeter length of an object that models |
| polygon_90. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename transform_type><br /> |
| T& <b>transform</b>(T& polygon, const transform_type&)</font></td> |
| <td>Applies transform() on the vertices of polygon and sets |
| the polygon to that described by the result of transforming its |
| vertices. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>scale_up</b>(T& polygon, unsigned_area_type factor)</font></td> |
| <td>Scales up coordinate of an object that models |
| polygon_90 by unsigned factor. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>scale_down</b>(T& polygon, unsigned_area_type factor)</font></td> |
| <td>Scales down coordinates of an object that models |
| polygon_90 by unsigned factor. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, scaling_type><br /> |
| T& <b>scale</b>(T& rectangle, double scaling) </font></td> |
| <td>Scales coordinates of an object that models polygon_90 |
| by floating point factor. Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>move</b>(T& polygon, orientation_2d,<br /> |
| coordinate_difference |
| displacement)</font></td> |
| <td>Adds displacement value to coordinate indicated by |
| orientation_2d of vertices of an object that models polygon_90 . |
| Linear wrt. vertices.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename polygon_type, typename point_type><br /> |
| polygon_type& <b>convolve</b>(polygon_type& polygon,<br /> |
| |
| const point_type& point)</font></td> |
| <td>Convolves coordinate values of point with vertices of |
| an object that models polygon_90. Linear wrt. vertices.</td> |
| </tr> |
| </tbody> |
| </table> |
| <h1>Polygon 90 Data</h1> |
| <p> </p> |
| <p>The library provides a model of polygon 90 concept declared |
| <font face="Courier New">template<typename T> |
| polygon_90_data </font>where T is the coordinate type.</p> |
| <p>This data type is used internally when a Manhattan polygon is |
| needed and is available to the library user who finds it convenient to |
| use a library polygon data type instead of providing their own. |
| The data type is implemented to be convenient to use with the library |
| traits.</p> |
| <h2>Members</h2> |
| <table id="table2" border="1" width="100%"> |
| <tbody> |
| <tr> |
| <td width="586"><b><font face="Courier New">geometry_type</font></b></td> |
| <td><font face="Times New Roman">polygon_90_concept</font></td> |
| </tr> |
| <tr> |
| <td width="586"><b><font face="Courier New">coordinate_type</font></b></td> |
| <td><font face="Times New Roman">T</font></td> |
| </tr> |
| <tr> |
| <td width="586"><b><font face="Courier New">iterator_type</font></b></td> |
| <td>Iterator over vertices point_data<T> vertices of |
| polygon</td> |
| </tr> |
| <tr> |
| <td width="586"><b><font face="Courier New">compact_iterator_type</font></b></td> |
| <td><font face="Times New Roman">Iterator over |
| non-redundant coordinates of the polygon, alternating x, y, x, y |
| starting with an x, where each x corresponds to a vertical edge and |
| each y corresponds to a horizontal edge.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New"><b>polygon_90_data</b>()</font></td> |
| <td><font face="Times New Roman">Default constructs the </font>polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New"><b>polygon_90_data</b>(const |
| polygon_90_data& that)</font></td> |
| <td><font face="Times New Roman">Copy construct</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">polygon_90_data& |
| <b>operator=</b>(const polygon_90_data& that)</font></td> |
| <td>Assignment operator.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T2><b> <br /> |
| </b>polygon_90_data& <b>operator=</b>(const T2& |
| that) const</font></td> |
| <td>Assign from an object that is a model of polygon 90.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">iterator_type <b>begin</b>() |
| const</font></td> |
| <td>Get the begin iterator over vertices of the polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">iterator_type <b>end</b>() |
| const</font></td> |
| <td>Get the end iterator over vertices of the polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">compact_iterator_type |
| <b> begin_compact</b>() const</font></td> |
| <td>Get the begin compact iterator over non-redundant |
| coordinates of the polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">compact_iterator_type |
| <b> end_compact</b>() const</font></td> |
| <td>Get the end compact iterator over non-redundant |
| coordinates of the polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">std::size_t <b>size</b>() |
| const</font></td> |
| <td>Get the number of elements in the sequence stored to |
| the polygon, usually equal to the number of edges of the polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename iT><b> <br /> |
| </b>void <b>set</b>(iT begin_points, iT end_points)</font></td> |
| <td>Sets the polygon to the iterator range of points. |
| No check is performed to ensure the points describe a Manhattan figure, |
| every other x and y value of the points is used to initialize the |
| polygon.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename iT><b> <br /> |
| </b>void <b>set_compact</b>(iT begin_coords, iT end_coords)</font></td> |
| <td>Sets the polygon to the iterator range of |
| coordinates. These coordinates correspond to the x values of |
| vertical edges and y values of horizontal edges. It is expected |
| that the sequence start with an x value and proceed x then y then x |
| then y.</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 © 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> |
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