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SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Circle_2_Circle_2_intersection.h
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00001 // Copyright (c) 2000  Utrecht University (The Netherlands),
00002 // ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
00003 // INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
00004 // (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
00005 // and Tel-Aviv University (Israel).  All rights reserved.
00006 //
00007 // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
00008 // modify it under the terms of the GNU Lesser General Public License as
00009 // published by the Free Software Foundation; version 2.1 of the License.
00010 // See the file LICENSE.LGPL distributed with CGAL.
00011 //
00012 // Licensees holding a valid commercial license may use this file in
00013 // accordance with the commercial license agreement provided with the software.
00014 //
00015 // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
00016 // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
00017 //
00018 // $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Intersections_2/include/CGAL/Circle_2_Circle_2_intersection.h $
00019 // $Id: Circle_2_Circle_2_intersection.h 46250 2008-10-13 20:35:32Z pmachado $
00020 // 
00021 //
00022 // Author(s)     : Geert-Jan Giezeman
00023 
00024 
00025 #ifndef CGAL_CIRCLE_2_CIRCLE_2_INTERSECTION_H
00026 #define CGAL_CIRCLE_2_CIRCLE_2_INTERSECTION_H
00027 
00028 #include <CGAL/Circle_2.h>
00029 #include <CGAL/Object.h>
00030 #include <CGAL/squared_distance_2_1.h>
00031 
00032 CGAL_BEGIN_NAMESPACE
00033 
00034 namespace CGALi {
00035 
00036 template <class K>
00037 bool
00038 do_intersect(const typename K::Circle_2 & circ1, 
00039              const typename K::Circle_2& circ2,
00040              const K&)
00041 {
00042     typedef typename K::FT FT;
00043     FT sr1 = circ1.squared_radius();
00044     FT sr2 = circ2.squared_radius();
00045     FT squared_dist = squared_distance(circ1.center(), circ2.center());
00046     FT temp = sr1+sr2-squared_dist;
00047     return !(FT(4)*sr1*sr2 < temp*temp);
00048 }
00049 
00050 } // namespace CGALi
00051 
00052 template <class K>
00053 inline
00054 bool
00055 do_intersect(const Circle_2<K> & circ1, 
00056              const Circle_2<K> & circ2)
00057 {
00058   typedef typename K::Do_intersect_2 Do_intersect;
00059   return Do_intersect()(circ1, circ2);
00060 }
00061 
00062 
00063 CGAL_END_NAMESPACE
00064 
00065 #endif
00066 
00067 
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