mirror of https://github.com/CGAL/cgal
110 lines
3.4 KiB
C++
110 lines
3.4 KiB
C++
// Copyright (c) 1999 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); you may redistribute it under
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// the terms of the Q Public License version 1.0.
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// See the file LICENSE.QPL distributed with CGAL.
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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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// $Source$
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// $Revision$ $Date$
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// $Name$
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//
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// Author(s) : Sylvain Pion <Sylvain.Pion@sophia.inria.fr>
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// Mariette Yvinec <Mariette.Yvinec@sophia.inria.fr>
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#ifndef CGAL_REGULAR_TRIANGULATION_RTH2_H
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#define CGAL_REGULAR_TRIANGULATION_RTH2_H
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// This file contains the low level homogeneous predicates
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// used by the 2D regular triangulation.
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CGAL_BEGIN_NAMESPACE
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template <class RT>
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Oriented_side
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power_testH2( const RT &phx, const RT &phy, const RT &phw, const RT &pwt,
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const RT &qhx, const RT &qhy, const RT &qhw, const RT &qwt,
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const RT &rhx, const RT &rhy, const RT &rhw, const RT &rwt,
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const RT &thx, const RT &thy, const RT &thw, const RT &twt)
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{
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RT dphx = phx*phw;
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RT dphy = phy*phw;
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RT dphw = CGAL_NTS square(phw);
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RT dpz = CGAL_NTS square(phx) + CGAL_NTS square(phy) - pwt*dphw;
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RT dqhx = qhx*qhw;
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RT dqhy = qhy*qhw;
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RT dqhw = CGAL_NTS square(qhw);
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RT dqz = CGAL_NTS square(qhx) + CGAL_NTS square(qhy) - qwt*dqhw;
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RT drhx = rhx*rhw;
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RT drhy = rhy*rhw;
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RT drhw = CGAL_NTS square(rhw);
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RT drz = CGAL_NTS square(rhx) + CGAL_NTS square(rhy) - rwt*drhw;
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RT dthx = thx*thw;
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RT dthy = thy*thw;
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RT dthw = CGAL_NTS square(thw);
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RT dtz = CGAL_NTS square(thx) + CGAL_NTS square(thy) - twt*dthw;
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return Oriented_side(sign_of_determinant4x4(dphx, dphy, dpz, dphw,
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dqhx, dqhy, dqz, dqhw,
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drhx, drhy, drz, drhw,
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dthx, dthy, dtz, dthw));
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}
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template <class RT>
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Oriented_side
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power_testH2( const RT &phx, const RT &phy, const RT &phw, const RT &pwt,
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const RT &qhx, const RT &qhy, const RT &qhw, const RT &qwt,
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const RT &thx, const RT &thy, const RT &thw, const RT &twt)
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{
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// Test if we can project on the (x) axis. If not, then on the
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// (y) axis
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RT pa, qa, ta;
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if (phx * qhw != qhx * phw )
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{
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pa = phx*phw;
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qa = qhx*qhw;
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ta = thx*thw;
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}
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else
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{
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pa = phy*phw;
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qa = qhy*qhw;
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ta = thy*thw;
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}
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RT dphw = CGAL_NTS square(phw);
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RT dpz = CGAL_NTS square(phx) + CGAL_NTS square(phy) - pwt*dphw;
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RT dqhw = CGAL_NTS square(qhw);
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RT dqz = CGAL_NTS square(qhx) + CGAL_NTS square(qhy) - qwt*dqhw;
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RT dthw = CGAL_NTS square(thw);
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RT dtz = CGAL_NTS square(thx) + CGAL_NTS square(thy) - twt*dthw;
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return Oriented_side(CGAL_NTS compare(pa, qa) *
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sign_of_determinant3x3(pa, dpz, dphw,
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qa, dqz, dqhw,
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ta, dtz, dthw));
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}
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CGAL_END_NAMESPACE
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#ifdef CGAL_ARITHMETIC_FILTER_H
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#ifndef CGAL_ARITHMETIC_FILTER_REGULAR_TRIANGULATION_RTH2_H
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#include <CGAL/Arithmetic_filter/predicates/Regular_triangulation_rtH2.h>
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#endif // CGAL_ARITHMETIC_FILTER_REGULAR_TRIANGULATION_RTH2_H
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#endif
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#endif // CGAL_REGULAR_TRIANGULATION_RTH2_H
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