107 lines
3.4 KiB
C
107 lines
3.4 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); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 3 of the License,
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// 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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// SPDX-License-Identifier: LGPL-3.0+
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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_HYPERPLANECD_C
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#define CGAL_HYPERPLANECD_C
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namespace CGAL {
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template <class FT, class LA>
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VectorCd<FT,LA> HyperplaneCd<FT,LA>::
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orthogonal_vector() const
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{ return VectorCd<FT,LA>(dimension(),coefficients_begin(),
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coefficients_end()-1); }
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template <class FT, class LA>
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Comparison_result HyperplaneCd<FT,LA>::
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weak_cmp(const HyperplaneCd<FT,LA>& h1,
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const HyperplaneCd<FT,LA>& h2)
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{
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CGAL_assertion_msg((h1.dimension()==h2.dimension()),
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"HyperplaneCd::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) == FT(0) &&
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h2.coefficient(i) == FT(0); i++) {}
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if (h1.coefficient(i) == FT(0)) return SMALLER;
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if (h2.coefficient(i) == FT(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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FT s1 = (FT)s * h2.coefficient(i);
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FT s2 = (FT)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 FT, class LA>
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Comparison_result HyperplaneCd<FT,LA>::
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strong_cmp(const HyperplaneCd<FT,LA>& h1,
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const HyperplaneCd<FT,LA>& h2)
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{
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CGAL_assertion_msg((h1.dimension()==h2.dimension()),
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"HyperplaneCd::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)==FT(0) &&
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h2.coefficient(i)==FT(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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FT s1 = (FT)CGAL_NTS sign(h2.coefficient(i)) * h2.coefficient(i);
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FT s2 = (FT)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 FT, class LA>
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std::istream& operator>>(std::istream& I, HyperplaneCd<FT,LA>& h)
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{ h.copy_on_write(); h.ptr()->read(I); return I; }
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template <class FT, class LA>
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std::ostream& operator<<(std::ostream& O, const HyperplaneCd<FT,LA>& h)
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{ h.ptr()->print(O,"HyperplaneCd"); return O; }
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} //namespace CGAL
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#endif // CGAL_HYPERPLANECD_C
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