101 lines
3.0 KiB
C
101 lines
3.0 KiB
C
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// Copyright (c) 2001
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Kernel_d/include/CGAL/Kernel_d/HyperplaneHd_impl.h $
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// $Id: HyperplaneHd_impl.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Michael Seel <seel@mpi-sb.mpg.de>
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#ifndef CGAL_HYPERPLANEHD_C
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#define CGAL_HYPERPLANEHD_C
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namespace CGAL {
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template <class RT, class LA>
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VectorHd<RT,LA> HyperplaneHd<RT,LA>::
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orthogonal_vector() const
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{ VectorHd<RT,LA> res(*this);
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res.copy_on_write();
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res.entry(dimension()) = 1;
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return res;
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}
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template <class RT, class LA>
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Comparison_result HyperplaneHd<RT,LA>::
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weak_cmp(const HyperplaneHd<RT,LA>& h1,
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const HyperplaneHd<RT,LA>& h2)
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{
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CGAL_assertion_msg((h1.dimension()==h2.dimension()),
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"HyperplaneHd::weak_cmp: dimensions disagree.");
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if(h1.identical(h2)) return EQUAL;
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int i, d = h1.dimension();
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for (i = 0; i <= d &&
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h1.coefficient(i) == 0 &&
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h2.coefficient(i) == 0; i++) {}
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if (h1.coefficient(i) == 0) return SMALLER;
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if (h2.coefficient(i) == 0) return LARGER;
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int s = CGAL_NTS sign(h1.coefficient(i)) *
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CGAL_NTS sign(h2.coefficient(i));
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RT s1 = (RT)s * h2.coefficient(i);
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RT s2 = (RT)s * h1.coefficient(i);
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// |s1 * h1.coefficient(i)| is
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// $\Labs{ |h1.coefficient(i)*h2.coefficient(i)| }$
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Comparison_result c;
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while (++i <= d) {
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c = CGAL_NTS compare(s1 * h1.coefficient(i),
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s2 * h2.coefficient(i));
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if (c != EQUAL) return c;
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}
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return EQUAL;
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}
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template <class RT, class LA>
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Comparison_result HyperplaneHd<RT,LA>::
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strong_cmp(const HyperplaneHd<RT,LA>& h1,
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const HyperplaneHd<RT,LA>& h2)
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{
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CGAL_assertion_msg((h1.dimension()==h2.dimension()),
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"HyperplaneHd::strong_cmp: dimensions disagree.");
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if (h1.identical(h2)) return EQUAL;
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int i;
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int d = h1.dimension();
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for (i = 0; i <=d &&
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h1.coefficient(i)==0 &&
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h2.coefficient(i)==0; i++) {}
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int c1 = CGAL_NTS sign(h1.coefficient(i));
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int c2 = CGAL_NTS sign(h2.coefficient(i));
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if (c1 != c2) return CGAL_NTS compare(c1,c2);
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RT s1 = (RT)(int)CGAL_NTS sign(h2.coefficient(i)) * h2.coefficient(i);
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RT s2 = (RT)(int)CGAL_NTS sign(h1.coefficient(i)) * h1.coefficient(i);
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Comparison_result c;
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while (++i <= d) {
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c = CGAL_NTS compare(s1 * h1.coefficient(i),
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s2 * h2.coefficient(i));
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if (c != EQUAL) return c;
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}
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return EQUAL;
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}
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template <class RT, class LA>
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std::istream& operator>>(std::istream& I, HyperplaneHd<RT,LA>& h)
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{ h.copy_on_write(); h.ptr()->read(I); return I; }
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template <class RT, class LA>
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std::ostream& operator<<(std::ostream& O, const HyperplaneHd<RT,LA>& h)
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{ h.ptr()->print(O,"HyperplaneHd"); return O; }
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} //namespace CGAL
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#endif // CGAL_HYPERPLANEHD_C
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