mirror of https://github.com/CGAL/cgal
Removed Alpha_shape_2 obsolete include
squared_radius_smallest_orthogonal_circle_2() is now a kernel functor
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// Copyright (c) 1997 INRIA Sophia-Antipolis (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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//
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//
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// Author(s) : Tran Kai Frank DA <Frank.Da@sophia.inria.fr>
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#ifndef CGAL_SQUARED_RADIUS_SMALLEST_ORTHOGONALCIRCLE_FTC2_H
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#define CGAL_SQUARED_RADIUS_SMALLEST_ORTHOGONALCIRCLE_FTC2_H
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#include <CGAL/license/Alpha_shapes_2.h>
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#include <CGAL/determinant.h>
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#include <CGAL/enum.h>
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//-------------------------------------------------------------------
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namespace CGAL {
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//-------------------------------------------------------------------
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template< class FT >
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CGAL_MEDIUM_INLINE
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FT
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squared_radius_orthogonalcircleC2(
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const FT &px, const FT &py, const FT &pw,
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const FT &qx, const FT &qy, const FT &qw,
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const FT &rx, const FT &ry, const FT &rw)
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{
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FT FT4(4);
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FT dpx = px-rx;
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FT dpy = py-ry;
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FT dqx = qx-rx;
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FT dqy = qy-ry;
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FT dpp = CGAL_NTS square(dpx)+CGAL_NTS square(dpy)-pw+rw;
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FT dqq = CGAL_NTS square(dqx)+CGAL_NTS square(dqy)-qw+rw;
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FT det0 = determinant(dpx, dpy, dqx, dqy);
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FT det1 = determinant(dpp, dpy, dqq, dqy);
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FT det2 = determinant(dpx, dpp, dqx, dqq);
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return
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(CGAL_NTS square(det1)+CGAL_NTS square(det2))/
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(FT4*CGAL_NTS square(det0)) - rw;
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}
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template< class FT >
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CGAL_MEDIUM_INLINE
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FT
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squared_radius_smallest_orthogonalcircleC2(
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const FT &px, const FT &py, const FT &pw,
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const FT &qx, const FT &qy, const FT &qw)
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{
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FT FT4(4);
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FT dpz = CGAL_NTS square(px-qx)+CGAL_NTS square(py-qy);
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return (CGAL_NTS square(dpz-pw+qw)/(FT4*dpz)-qw);
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}
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//-------------------------------------------------------------------
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} //namespace CGAL
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//-------------------------------------------------------------------
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#endif //CGAL_SQUARED_RADIUS_SMALLEST_ORTHOGONALCIRCLE_ftC2_H
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