library of assembled shared sources

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algorithm.inl

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00001 /** @file
00002  *  @author Bram de Greve (bramz@users.sourceforge.net)
00003  *  @author Tom De Muer (tomdemuer@users.sourceforge.net)
00004  *
00005  *  *** BEGIN LICENSE INFORMATION ***
00006  *  
00007  *  The contents of this file are subject to the Common Public Attribution License 
00008  *  Version 1.0 (the "License"); you may not use this file except in compliance with 
00009  *  the License. You may obtain a copy of the License at 
00010  *  http://lass.sourceforge.net/cpal-license. The License is based on the 
00011  *  Mozilla Public License Version 1.1 but Sections 14 and 15 have been added to cover 
00012  *  use of software over a computer network and provide for limited attribution for 
00013  *  the Original Developer. In addition, Exhibit A has been modified to be consistent 
00014  *  with Exhibit B.
00015  *  
00016  *  Software distributed under the License is distributed on an "AS IS" basis, WITHOUT 
00017  *  WARRANTY OF ANY KIND, either express or implied. See the License for the specific 
00018  *  language governing rights and limitations under the License.
00019  *  
00020  *  The Original Code is LASS - Library of Assembled Shared Sources.
00021  *  
00022  *  The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
00023  *  The Original Developer is the Initial Developer.
00024  *  
00025  *  All portions of the code written by the Initial Developer are:
00026  *  Copyright (C) 2004-2007 the Initial Developer.
00027  *  All Rights Reserved.
00028  *  
00029  *  Contributor(s):
00030  *
00031  *  Alternatively, the contents of this file may be used under the terms of the 
00032  *  GNU General Public License Version 2 or later (the GPL), in which case the 
00033  *  provisions of GPL are applicable instead of those above.  If you wish to allow use
00034  *  of your version of this file only under the terms of the GPL and not to allow 
00035  *  others to use your version of this file under the CPAL, indicate your decision by 
00036  *  deleting the provisions above and replace them with the notice and other 
00037  *  provisions required by the GPL License. If you do not delete the provisions above,
00038  *  a recipient may use your version of this file under either the CPAL or the GPL.
00039  *  
00040  *  *** END LICENSE INFORMATION ***
00041  */
00042 
00043 namespace lass
00044 {
00045 namespace prim
00046 {
00047 
00048 
00049 template<typename T, class DegeneratePolicy>
00050 bool triangulate(const SimplePolygon2D<T, DegenerationPolicy>& iPolygon,
00051                  std::vector<Triangle2D<T> >& oTriangles)
00052 {
00053     oTriangles.clear();
00054     if (iPolygon.isConvex())
00055     {
00056         // this is the easy one :)
00057         int i=0;
00058         for (;i<iPolygon.size()-3;++i)
00059             oTriangles.push_back(Triangle2D<T>(iPolygon[0],iPolygon[i+1],iPolygon[i+2] ) );
00060         return true;
00061     }
00062 
00063     // we implement the easiest algorithm: ear clipping
00064     // we try to find a non-reflex vertex and then clip it
00065 
00066     SimplePolygon2D<T, DegenerationPolicy> temp(iPolygon);
00067     while (temp.size()>3)
00068     {
00069         int i=0;
00070         for (;i<temp.size();++i)
00071         {
00072             if (temp.isReflex(i))
00073             {
00074                 oTriangles.push_back(Triangle2D<T>(temp[i-1],temp[i],temp[i+1]));
00075                 temp.erase(i);
00076                 break;
00077             }
00078         }
00079     }
00080     oTriangles.push_back(Triangle2D<T>(temp[0],temp[1],temp[2]));
00081     return true;
00082 }
00083 
00084 }
00085 }

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