mirror of https://github.com/CGAL/cgal
113 lines
3.5 KiB
C++
113 lines
3.5 KiB
C++
// ============================================================================
|
|
//
|
|
// Copyright (c) 1999 The CGAL Consortium
|
|
//
|
|
// This software and related documentation is part of an INTERNAL release
|
|
// of the Computational Geometry Algorithms Library (CGAL). It is not
|
|
// intended for general use.
|
|
//
|
|
// ----------------------------------------------------------------------------
|
|
//
|
|
// release :
|
|
// release_date :
|
|
//
|
|
// file : include/CGAL/predicates/Regular_triangulation_rtH2.h
|
|
// revision : $Revision$
|
|
// revision_date : $Date$
|
|
// author(s) : Sylvain Pion <Sylvain.Pion@sophia.inria.fr>
|
|
// Mariette Yvinec <Mariette.Yvinec@sophia.inria.fr>
|
|
//
|
|
// coordinator : Mariette Yvinec <Mariette.Yvinec@sophia.inria.fr>
|
|
//
|
|
// ============================================================================
|
|
|
|
#ifndef CGAL_REGULAR_TRIANGULATION_RTH2_H
|
|
#define CGAL_REGULAR_TRIANGULATION_RTH2_H
|
|
|
|
// This file contains the low level homogeneous predicates
|
|
// used by the 2D regular triangulation.
|
|
|
|
CGAL_BEGIN_NAMESPACE
|
|
|
|
template <class RT>
|
|
Oriented_side
|
|
power_testH2( const RT &phx, const RT &phy, const RT &phw, const RT &pwt,
|
|
const RT &qhx, const RT &qhy, const RT &qhw, const RT &qwt,
|
|
const RT &rhx, const RT &rhy, const RT &rhw, const RT &rwt,
|
|
const RT &thx, const RT &thy, const RT &thw, const RT &twt)
|
|
{
|
|
RT dphx = phx*phw;
|
|
RT dphy = phy*phw;
|
|
RT dphw = CGAL_NTS square(phw);
|
|
RT dpz = CGAL_NTS square(phx) + CGAL_NTS square(phy) - pwt*dphw;
|
|
|
|
RT dqhx = qhx*qhw;
|
|
RT dqhy = qhy*qhw;
|
|
RT dqhw = CGAL_NTS square(qhw);
|
|
RT dqz = CGAL_NTS square(qhx) + CGAL_NTS square(qhy) - qwt*dqhw;
|
|
|
|
RT drhx = rhx*rhw;
|
|
RT drhy = rhy*rhw;
|
|
RT drhw = CGAL_NTS square(rhw);
|
|
RT drz = CGAL_NTS square(rhx) + CGAL_NTS square(rhy) - rwt*drhw;
|
|
|
|
RT dthx = thx*thw;
|
|
RT dthy = thy*thw;
|
|
RT dthw = CGAL_NTS square(thw);
|
|
RT dtz = CGAL_NTS square(thx) + CGAL_NTS square(thy) - twt*dthw;
|
|
|
|
return Oriented_side(sign_of_determinant4x4(dphx, dphy, dpz, dphw,
|
|
dqhx, dqhy, dqz, dqhw,
|
|
drhx, drhy, drz, drhw,
|
|
dthx, dthy, dtz, dthw));
|
|
}
|
|
|
|
|
|
template <class RT>
|
|
Oriented_side
|
|
power_testH2( const RT &phx, const RT &phy, const RT &phw, const RT &pwt,
|
|
const RT &qhx, const RT &qhy, const RT &qhw, const RT &qwt,
|
|
const RT &thx, const RT &thy, const RT &thw, const RT &twt)
|
|
{
|
|
// Test if we can project on the (x) axis. If not, then on the
|
|
// (y) axis
|
|
RT pa, qa, ta;
|
|
|
|
if (phx * qhw != qhx * phw )
|
|
{
|
|
pa = phx*phw;
|
|
qa = qhx*qhw;
|
|
ta = thx*thw;
|
|
}
|
|
else
|
|
{
|
|
pa = phy*phw;
|
|
qa = qhy*qhw;
|
|
ta = thy*thw;
|
|
}
|
|
|
|
RT dphw = CGAL_NTS square(phw);
|
|
RT dpz = CGAL_NTS square(phx) + CGAL_NTS square(phy) - pwt*dphw;
|
|
|
|
RT dqhw = CGAL_NTS square(qhw);
|
|
RT dqz = CGAL_NTS square(qhx) + CGAL_NTS square(qhy) - qwt*dqhw;
|
|
|
|
RT dthw = CGAL_NTS square(thw);
|
|
RT dtz = CGAL_NTS square(thx) + CGAL_NTS square(thy) - twt*dthw;
|
|
|
|
return Oriented_side(CGAL_NTS compare(pa, qa) *
|
|
sign_of_determinant3x3(pa, dpz, dphw,
|
|
qa, dqz, dqhw,
|
|
ta, dtz, dthw));
|
|
}
|
|
|
|
CGAL_END_NAMESPACE
|
|
|
|
#ifdef CGAL_ARITHMETIC_FILTER_H
|
|
#ifndef CGAL_ARITHMETIC_FILTER_REGULAR_TRIANGULATION_RTH2_H
|
|
#include <CGAL/Arithmetic_filter/predicates/Regular_triangulation_rtH2.h>
|
|
#endif // CGAL_ARITHMETIC_FILTER_REGULAR_TRIANGULATION_RTH2_H
|
|
#endif
|
|
|
|
#endif // CGAL_REGULAR_TRIANGULATION_RTH2_H
|