- Merge H2 and H3 into Homogeneous_kernel.

2006-03-06 23:51:27 +00:00
parent bcf05d4b2d
commit 0ec1b0efcc
41 changed files with 480 additions and 478 deletions
@@ -0,0 +1,85 @@
+// Copyright (c) 1999  Utrecht University (The Netherlands),
+// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
+// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
+// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
+// and Tel-Aviv University (Israel).  All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public License as
+// published by the Free Software Foundation; version 2.1 of the License.
+// See the file LICENSE.LGPL distributed with CGAL.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+// 
+//
+// Author(s)     : Stefan Schirra
+ 
+
+#ifndef CGAL_BASIC_CONSTRUCTIONSH3_H
+#define CGAL_BASIC_CONSTRUCTIONSH3_H
+
+CGAL_BEGIN_NAMESPACE
+
+template <class R>
+typename R::Point_3
+_projection(const typename R::Point_3& p, const PlaneH3<R>& pl)
+{
+  typedef typename R::RT RT;
+  if ( pl.has_on(p) ) return p;
+
+  RT A = pl.a();
+  RT B = pl.b();
+  RT C = pl.c();
+  RT D = pl.d();
+  RT phx = p.hx();
+  RT phy = p.hy();
+  RT phz = p.hz();
+  RT phw = p.hw();
+
+  RT num = A * phx  +  B * phy  +  C * phz  +  D * phw;
+  RT den = A * A    +  B * B    +  C * C;
+
+  return typename R::Point_3( num * A  -  den * phx,
+                              num * B  -  den * phy,
+                              num * C  -  den * phz,
+                             -den );
+}
+
+template <class R>
+typename R::Point_3
+gp_linear_intersection(const PlaneH3<R> &f,
+                       const PlaneH3<R> &g,
+                       const PlaneH3<R> &h)
+{
+  typedef typename R::RT RT;
+  return typename R::Point_3(
+                  det3x3_by_formula<RT>(-f.d(), f.b(), f.c(),
+                                        -g.d(), g.b(), g.c(),
+                                        -h.d(), h.b(), h.c()),
+                  det3x3_by_formula<RT>( f.a(),-f.d(), f.c(),
+                                         g.a(),-g.d(), g.c(),
+                                         h.a(),-h.d(), h.c()),
+                  det3x3_by_formula<RT>( f.a(), f.b(),-f.d(),
+                                         g.a(), g.b(),-g.d(),
+                                         h.a(), h.b(),-h.d()),
+                  det3x3_by_formula<RT>( f.a(), f.b(), f.c(),
+                                         g.a(), g.b(), g.c(),
+                                         h.a(), h.b(), h.c()));
+}
+
+template <class R>
+CGAL_KERNEL_INLINE
+typename R::FT
+squared_distance( PointH3<R> const& p, PointH3<R> const& q)
+{ return (p-q)*(p-q); }
+
+CGAL_END_NAMESPACE
+
+#endif // CGAL_BASIC_CONSTRUCTIONSH3_H