ceph/src/boost/libs/polygon/doc/gtl_polygon_45_with_holes_concept.htm

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  11   <title>Boost Polygon Library: Polygon 45 With Holes Concept</title>
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  27       <h3 class="navbar">Contents</h3>
  28       <ul>
  29         <li><a href="index.htm">Boost.Polygon Main Page</a></li>
  30         <li><a href="gtl_design_overview.htm">Design Overview</a></li>
  31         <li><a href="gtl_isotropy.htm">Isotropy</a></li>
  32         <li><a href="gtl_coordinate_concept.htm">Coordinate Concept</a></li>
  33         <li><a href="gtl_interval_concept.htm">Interval Concept</a></li>
  34         <li><a href="gtl_point_concept.htm">Point Concept</a></li>
  35         <li><a href="gtl_segment_concept.htm">Segment Concept</a></li>
  36         <li><a href="gtl_rectangle_concept.htm">Rectangle Concept</a></li>
  37         <li><a href="gtl_polygon_90_concept.htm">Polygon 90 Concept</a></li>
  38         <li><a href="gtl_polygon_90_with_holes_concept.htm">Polygon 90
  39 With Holes Concept</a></li>
  40         <li><a href="gtl_polygon_45_concept.htm">Polygon 45 Concept</a></li>
  41         <li>Polygon 45 With Holes Concept</li>
  42         <li><a href="gtl_polygon_concept.htm">Polygon Concept</a></li>
  43         <li><a href="gtl_polygon_with_holes_concept.htm">Polygon With
  44 Holes Concept</a></li>
  45         <li><a href="gtl_polygon_90_set_concept.htm">Polygon 90 Set
  46 Concept</a></li>
  47         <li><a href="gtl_polygon_45_set_concept.htm">Polygon 45 Set
  48 Concept</a></li>
  49         <li><a href="gtl_polygon_set_concept.htm">Polygon Set Concept</a></li>
  50         <li><a href="gtl_connectivity_extraction_90.htm">Connectivity
  51 Extraction 90</a></li>
  52         <li><a href="gtl_connectivity_extraction_45.htm">Connectivity
  53 Extraction 45</a></li>
  54         <li><a href="gtl_connectivity_extraction.htm">Connectivity
  55 Extraction</a></li>
  56         <li><a href="gtl_property_merge_90.htm">Property Merge 90</a></li>
  57         <li><a href="gtl_property_merge_45.htm">Property Merge 45</a></li>
  58         <li><a href="gtl_property_merge.htm">Property Merge</a></li>
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  68         <li><a href="GTL_boostcon2009.pdf">GTL Boostcon 2009 Paper</a></li>
  69         <li><a href="GTL_boostcon_draft03.pdf">GTL Boostcon 2009
  70 Presentation</a></li>
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  89       <p>
  90       </p>
  91       <h1>Polygon 45 With Holes Concept</h1>
  92       <p> </p>
  93       <p>The polygon_45_with_holes concept tag is <font
  94  face="Courier New">
  95 polygon_45_with_holes_concept</font></p>
  96       <p> To register a user defined type as a model of <font
  97  face="Times New Roman">polygon_45_with_holes </font>concept,
  98 specialize the geometry concept meta-function for that type.&nbsp; In
  99 the example below CPolygon45WithHoles is registered as a model of
 100 polygon<font face="Times New Roman">_45_with_holes&nbsp;</font> concept.</p>
 101       <p> <font face="Courier New">template &lt;&gt;<br />
 102 struct geometry_concept&lt;CPolygon45WithHoles&gt; { typedef
 103 polygon_45_with_holes_concept type; };</font></p>
 104       <p> <font face="Times New Roman">The semantic of a
 105 polygon_45_with_holes is a polygon_45 that it can provide iterators
 106 over holes that are also polygon_45.&nbsp; A mutable
 107 polygon_45_with_holes must also be able to set its geometry based on an
 108 interator range over polygon_45 holes.&nbsp; There is no convention of
 109 winding of holes enforced within the library. </font></p>
 110       <p> <font face="Times New Roman">Below is shown the default
 111 polygon with holes traits.&nbsp; Specialization of these traits is
 112 required for types that don't conform to the default behavior.</font></p>
 113       <p><font face="Courier New">template &lt;typename T, typename
 114 enable = void&gt;<br />
 115 struct polygon_with_holes_traits {<br />
 116 &nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_holes_type
 117 iterator_holes_type;<br />
 118 &nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::hole_type hole_type;<br />
 119 &nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type
 120 begin_holes(const T&amp; t) {<br />
 121 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return
 122 t.begin_holes();<br />
 123 &nbsp;&nbsp;&nbsp;&nbsp; }<br />
 124 &nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type
 125 end_holes(const T&amp; t) {<br />
 126 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return
 127 t.end_holes();<br />
 128 &nbsp;&nbsp;&nbsp;&nbsp; }<br />
 129 &nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size_holes(const
 130 T&amp; t) {<br />
 131 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return
 132 t.size_holes();<br />
 133 &nbsp;&nbsp;&nbsp;&nbsp; }<br />
 134 };</font></p>
 135       <p><font face="Courier New">template &lt;typename T, typename
 136 enable = void&gt;<br />
 137 struct polygon_with_holes_mutable_traits {<br />
 138 &nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br />
 139 &nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_holes(T&amp; t, iT
 140 inputBegin, iT inputEnd) {<br />
 141 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 142 t.set_holes(inputBegin, inputEnd);<br />
 143 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br />
 144 &nbsp;&nbsp;&nbsp;&nbsp; }<br />
 145 };</font></p>
 146       <p>An object that is a model of <font face="Courier New">
 147 polygon_45_with_holes_concept</font> can be viewed as a model of any of
 148 its refinements if it is determined at runtime to conform to the
 149 restriction of those concepts.&nbsp; This concept casting is
 150 accomplished through the
 151       <font face="Courier New">view_as&lt;&gt;()</font> function.</p>
 152       <p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_45_with_holes_object)</font><br />
 153       <font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_45_with_holes_object)</font><br />
 154       <font face="Courier New">view_as&lt;polygon_90_with_holes_concept&gt;(polygon_45_with_holes_object)</font><br />
 155       <font face="Courier New">view_as&lt;polygon_45_concept&gt;(polygon_45_with_holes_object)</font></p>
 156       <p>The return value of <font face="Courier New">view_as&lt;&gt;()</font>
 157 can be passed into any interface that expects an object of the
 158 conceptual type specified in its template parameter. </p>
 159       <h2>Functions</h2>
 160       <table id="table1" border="1" width="100%">
 161         <tbody>
 162           <tr>
 163             <td width="586"><font face="Courier New">template
 164 &lt;typename T&gt;<br />
 165 point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
 166             <td><font face="Times New Roman">Expects a model of
 167 polygon_45_with_holes.&nbsp; Returns the begin iterator over the range
 168 of points that correspond to vertices of the polygon.</font></td>
 169           </tr>
 170           <tr>
 171             <td width="586"><font face="Courier New">template
 172 &lt;typename T&gt;<br />
 173 point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
 174             <td><font face="Times New Roman">Expects a model of
 175 polygon_45_with_holes.&nbsp; Returns the end iterator over the range of
 176 points that correspond to vertices of the polygon.</font></td>
 177           </tr>
 178           <tr>
 179             <td width="586"><font face="Courier New">template
 180 &lt;typename T&gt;<br />
 181 hole_iterator_type <b>begin_holes</b>(const T&amp; polygon)</font></td>
 182             <td><font face="Times New Roman">Expects a model of
 183 polygon_45_with_holes.&nbsp; Returns the begin iterator over the range
 184 of coordinates that correspond to horizontal and vertical edges.</font></td>
 185           </tr>
 186           <tr>
 187             <td width="586"><font face="Courier New">template
 188 &lt;typename T&gt;<br />
 189 hole_iterator_type <b>end_holes</b>(const T&amp; polygon)</font></td>
 190             <td><font face="Times New Roman">Expects a model of
 191 polygon_45_with_holes.&nbsp; Returns the end iterator over the range of
 192 coordinates that correspond to horizontal and vertical edges.</font></td>
 193           </tr>
 194           <tr>
 195             <td width="586"><font face="Courier New">template
 196 &lt;typename T, typename iterator&gt;<br />
 197 void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
 198             <td><font face="Times New Roman">Expects a model of
 199 polygon_45_with_holes.&nbsp;&nbsp; Sets the polygon to the point data
 200 range [b,e) that corresponds to vertices of a polygon.&nbsp; </font></td>
 201           </tr>
 202           <tr>
 203             <td width="586"><font face="Courier New">template
 204 &lt;typename T, typename iterator&gt;<br />
 205 void <b>set_holes</b>(T&amp; polygon, iterator b, iterator e)</font></td>
 206             <td><font face="Times New Roman">Expects a model of
 207 polygon_45_with_holes.&nbsp;&nbsp; Sets the polygon holes to the hole
 208 data range [b,e)</font></td>
 209           </tr>
 210           <tr>
 211             <td width="586"><font face="Courier New">template
 212 &lt;typename T&gt;<br />
 213 unsigned int <b>size</b>(const T&amp; polygon)</font></td>
 214             <td><font face="Times New Roman">Returns the number of
 215 edges in the outer shell of the polygon_45_with_holes.&nbsp; Does not
 216 include sizes of the holes.</font></td>
 217           </tr>
 218           <tr>
 219             <td width="586"><font face="Courier New">template
 220 &lt;typename T1, typename T2&gt;<br />
 221 T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
 222             <td>Copies data from right object that models
 223 polygon_45_with_holes or one of its refinements into left object that
 224 models polygon_45_with_holes.</td>
 225           </tr>
 226           <tr>
 227             <td width="586"><font face="Courier New">template
 228 &lt;typename T, typename point_type&gt;<br />
 229 bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br />
 230 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 231 bool consider_touch=true)</font></td>
 232             <td>Given an object that models polygon_45_with_holes and
 233 an object that models point, returns true if the polygon shell contains
 234 the point and one of its holes does not contain the point.&nbsp; If the
 235 consider_touch flag is true will return true if the point lies along
 236 the boundary of the polygon or one of its holes.</td>
 237           </tr>
 238           <tr>
 239             <td width="586"><font face="Courier New">// get the center
 240 coordinate<br />
 241 template &lt;typename T, typename point_type&gt;<br />
 242 void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
 243             <td>Sets object that models point to the center point of
 244 the bounding box of an object that models polygon_45_with_holes.</td>
 245           </tr>
 246           <tr>
 247             <td width="586"><font face="Courier New">template
 248 &lt;typename T, typename rectangle_type&gt;<br />
 249 bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
 250             <td>Sets object that models rectangle to the bounding box
 251 of an object that models polygon_45_with_holes and returns true.&nbsp;
 252 Returns false and leaves bbox unchanged if polygon is empty.</td>
 253           </tr>
 254           <tr>
 255             <td width="586"><font face="Courier New">template
 256 &lt;typename T&gt;<br />
 257 manhattan_area_type <b>area</b>(const T&amp; polygon)</font></td>
 258             <td>Returns the area of an object that models
 259 polygon_45_with_holes including subtracting the area of its holes from
 260 the area of the outer shell polygon.</td>
 261           </tr>
 262           <tr>
 263             <td width="586"><font face="Courier New">template
 264 &lt;typename T&gt;<br />
 265 direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
 266             <td>Returns the winding direction of an object that models
 267 polygon_45_with_holes, LOW == CLOCKWISE, HIGH = COUNTERCLOCKWISE.</td>
 268           </tr>
 269           <tr>
 270             <td width="586"><font face="Courier New">template
 271 &lt;typename T&gt;<br />
 272 coordinate_difference <b>perimeter</b>(const T&amp; polygon)</font></td>
 273             <td>Returns the perimeter length of an object that models
 274 polygon_45, including the perimeters of the holes.</td>
 275           </tr>
 276           <tr>
 277             <td width="586"><font face="Courier New">template
 278 &lt;typename T, typename transform_type&gt;<br />
 279 T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
 280             <td>Applies transform() on the vertices of polygon and sets
 281 the polygon to that described by the result of transforming its
 282 vertices.&nbsp; Also applies transform() on the holes of the polygon.</td>
 283           </tr>
 284           <tr>
 285             <td width="586"><font face="Courier New">template
 286 &lt;typename T&gt;<br />
 287 T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
 288             <td>Scales up outer shell and holes of an object that
 289 models polygon_45 by unsigned factor.</td>
 290           </tr>
 291           <tr>
 292             <td width="586"><font face="Courier New">template
 293 &lt;typename T&gt;<br />
 294 T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
 295             <td>Scales down outer shell and holes of an object that
 296 models polygon_45 by unsigned factor.</td>
 297           </tr>
 298           <tr>
 299             <td width="586"><font face="Courier New">template
 300 &lt;typename T, scaling_type&gt;<br />
 301 T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
 302             <td>Scales outer shell and holes of an object that models
 303 polygon_45 by floating point factor.</td>
 304           </tr>
 305           <tr>
 306             <td width="586"><font face="Courier New">template
 307 &lt;typename T&gt;<br />
 308 T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br />
 309 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference
 310 displacement)</font></td>
 311             <td>Adds displacement value to coordinate indicated by
 312 orientation_2d of vertices of an object that models polygon_45 .</td>
 313           </tr>
 314           <tr>
 315             <td width="586"><font face="Courier New">template
 316 &lt;typename polygon_type, typename point_type&gt;<br />
 317 polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br />
 318 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 319 const point_type&amp; point)</font></td>
 320             <td>Convolves coordinate values of point with the outer
 321 shell and holes of an object that models polygon_45_with_holes.</td>
 322           </tr>
 323         </tbody>
 324       </table>
 325       <h1>Polygon 45 With Holes Data</h1>
 326       <p> </p>
 327       <p>The library provides a model of polygon 45 with holes concept
 328 declared
 329       <font face="Courier New">template&lt;typename T&gt;
 330 polygon_45_with_holes_data </font>where T is the coordinate type.</p>
 331       <p>This data type is used internally when a 45 degree polygon
 332 with holes is needed and is available to the library user who finds it
 333 convenient to use a library polygon data type instead of providing
 334 their own.&nbsp; The data type is implemented to be convenient to use
 335 with the library traits.</p>
 336       <h2>Members</h2>
 337       <table id="table2" border="1" width="100%">
 338         <tbody>
 339           <tr>
 340             <td width="586"><b><font face="Courier New">geometry_type</font></b></td>
 341             <td><font face="Times New Roman">polygon_45_with_holes_concept</font></td>
 342           </tr>
 343           <tr>
 344             <td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
 345             <td><font face="Times New Roman">T</font></td>
 346           </tr>
 347           <tr>
 348             <td width="586"><b><font face="Courier New">iterator_type</font></b></td>
 349             <td>Iterator over vertices point_data&lt;T&gt; vertices of
 350 polygon</td>
 351           </tr>
 352           <tr>
 353             <td width="586"><b><font face="Courier New">iterator_holes_type</font></b></td>
 354             <td><font face="Times New Roman">Iterator over hole
 355 polygons of type polygon_45_data&lt;T&gt;.</font></td>
 356           </tr>
 357           <tr>
 358             <td width="586"><font face="Courier New"><b>polygon_45_with_holes_data</b>()</font></td>
 359             <td><font face="Times New Roman">Default constructs the </font>polygon.</td>
 360           </tr>
 361           <tr>
 362             <td width="586"><font face="Courier New"><b>polygon_45_with_holes_data</b>(const
 363 polygon_45_with_holes_data&amp; that)</font></td>
 364             <td><font face="Times New Roman">Copy construct</font></td>
 365           </tr>
 366           <tr>
 367             <td width="586"><font face="Courier New">polygon_45_with_holes_data&amp;
 368             <b> <br />
 369 operator=</b>(const polygon_45_with_holes_data&amp; that)</font></td>
 370             <td>Assignment operator.</td>
 371           </tr>
 372           <tr>
 373             <td width="586"><font face="Courier New">template
 374 &lt;typename T2&gt;<b> </b> polygon_45_with_holes_data&amp;<b>&nbsp; <br />
 375 operator=</b>(const T2&amp; that) const</font></td>
 376             <td>Assign from an object that is a model of polygon 45
 377 with holes.</td>
 378           </tr>
 379           <tr>
 380             <td width="586"><font face="Courier New">iterator_type <b>begin</b>()
 381 const</font></td>
 382             <td>Get the begin iterator over vertices of the polygon.</td>
 383           </tr>
 384           <tr>
 385             <td width="586"><font face="Courier New">iterator_type <b>end</b>()
 386 const</font></td>
 387             <td>Get the end iterator over vertices of the polygon.</td>
 388           </tr>
 389           <tr>
 390             <td width="586"><font face="Courier New">iterator_hole_type
 391             <b>begin_holes</b>() const</font></td>
 392             <td>Get the begin compact iterator over non-redundant
 393 coordinates of the polygon.</td>
 394           </tr>
 395           <tr>
 396             <td width="586"><font face="Courier New">iterator_hole_type
 397             <b>end_holes</b>() const</font></td>
 398             <td>Get the end compact iterator over non-redundant
 399 coordinates of the polygon.</td>
 400           </tr>
 401           <tr>
 402             <td width="586"><font face="Courier New">std::size_t <b>size</b>()
 403 const</font></td>
 404             <td>Get the number of elements in the sequence stored to
 405 the polygon, usually equal to the number of edges of the polygon.</td>
 406           </tr>
 407           <tr>
 408             <td width="586"><font face="Courier New">std::size_t <b>size_holes</b>()
 409 const</font></td>
 410             <td>Get the number of holes in the polygon</td>
 411           </tr>
 412           <tr>
 413             <td width="586"><font face="Courier New">template
 414 &lt;typename iT&gt;<b>&nbsp; <br />
 415             </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
 416             <td>Sets the polygon to the iterator range of points.&nbsp;
 417 No check is performed to ensure the points describe a 45 degree figure.</td>
 418           </tr>
 419           <tr>
 420             <td width="586"><font face="Courier New">template
 421 &lt;typename iT&gt;<b>&nbsp; <br />
 422             </b>void <b>set_holes</b>(iT begin_holes, iT end_choless)</font></td>
 423             <td>Sets the polygon holes the iterator range of hole
 424 polygons.&nbsp; These polygons in the input range may be either
 425 polygon_45_data or polygon_45_with_holes_data or any type that provides
 426 begin and end member functions to iterate over point_data&lt;T&gt;.</td>
 427           </tr>
 428         </tbody>
 429       </table>
 430       </td>
 431     </tr>
 432     <tr>
 433       <td style="background-color: rgb(238, 238, 238);" nowrap="1"
 434  valign="top"> &nbsp;</td>
 435       <td
 436  style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;"
 437  valign="top" width="100%">
 438       <table class="docinfo" id="table3" frame="void" rules="none">
 439         <colgroup> <col class="docinfo-name" /><col
 440  class="docinfo-content" /> </colgroup> <tbody valign="top">
 441           <tr>
 442             <th class="docinfo-name">Copyright:</th>
 443             <td>Copyright © Intel Corporation 2008-2010.</td>
 444           </tr>
 445           <tr class="field">
 446             <th class="docinfo-name">License:</th>
 447             <td class="field-body">Distributed under the Boost Software
 448 License, Version 1.0. (See accompanying file <tt class="literal"> <span
 449  class="pre">LICENSE_1_0.txt</span></tt> or copy at <a
 450  class="reference" target="_top"
 451  href="http://www.boost.org/LICENSE_1_0.txt">
 452 http://www.boost.org/LICENSE_1_0.txt</a>)</td>
 453           </tr>
 454         </tbody>
 455       </table>
 456       </td>
 457     </tr>
 458   </tbody>
 459 </table>
 460 </body>
 461 </html>