mirror of https://github.com/CGAL/cgal
95 lines
3.2 KiB
C++
95 lines
3.2 KiB
C++
// ============================================================================
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//
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// Copyright (c) 1999 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : include/CGAL/predicates/Regular_triangulation_rtH3.h
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// maintainer : Monique.Teillaud@sophia.inria.fr
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Sylvain Pion <Sylvain.Pion@sophia.inria.fr>
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//
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// coordinator : INRIA Sophia Antipolis (<Mariette.Yvinec@sophia.inria.fr>)
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//
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// ============================================================================
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#ifndef CGAL_REGULAR_TRIANGULATION_RTH3_H
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#define CGAL_REGULAR_TRIANGULATION_RTH3_H
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// This file contains the low level homogeneous predicates
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// used by the 3D regular triangulation.
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#include <CGAL/predicates/Regular_triangulation_ftC3.h>
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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_testH3(
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const RT &phx, const RT &phy, const RT &phz, const RT &phw, const RT &pwt,
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const RT &qhx, const RT &qhy, const RT &qhz, const RT &qhw, const RT &qwt,
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const RT &rhx, const RT &rhy, const RT &rhz, const RT &rhw, const RT &rwt,
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const RT &shx, const RT ­, const RT &shz, const RT &shw, const RT &swt,
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const RT &thx, const RT &thy, const RT &thz, 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 dphz = phz*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) +
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CGAL_NTS square(phz) - pwt*dphw;
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RT dqhx = qhx*qhw;
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RT dqhy = qhy*qhw;
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RT dqhz = qhz*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) +
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CGAL_NTS square(qhz) - qwt*dqhw;
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RT drhx = rhx*rhw;
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RT drhy = rhy*rhw;
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RT drhz = rhz*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) +
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CGAL_NTS square(rhz) - rwt*drhw;
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RT dshx = shx*shw;
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RT dshy = shy*shw;
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RT dshz = shz*shw;
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RT dshw = CGAL_NTS square(shw);
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RT dsz = CGAL_NTS square(shx) + CGAL_NTS square(shy) +
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CGAL_NTS square(shz) - swt*dshw;
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RT dthx = thx*thw;
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RT dthy = thy*thw;
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RT dthz = thz*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) +
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CGAL_NTS square(thz) - twt*dthw;
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return Oriented_side(- sign_of_determinant5x5(dphx, dphy, dphz, dpz, dphw,
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dqhx, dqhy, dqhz, dqz, dqhw,
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drhx, drhy, drhz, drz, drhw,
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dshx, dshy, dshz, dsz, dshw,
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dthx, dthy, dthz, dtz, dthw));
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}
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// The 2 degenerate are not speed critical, and they are quite boring and error
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// prone to write, so we use the Cartesian version, using FT.
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CGAL_END_NAMESPACE
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#ifdef CGAL_ARITHMETIC_FILTER_H
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#include <CGAL/Arithmetic_filter/predicates/Regular_triangulation_rtH3.h>
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#endif
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#endif // CGAL_REGULAR_TRIANGULATION_RTH3_H
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