Sylvain Pion
1d8779b171
det2x2_by_formula det3x3_by_formula det4x4_by_formula det5x5_by_formula det6x6_by_formula to: determinant How cute... a name independent of the dimension, and even readable !
113 lines
4.3 KiB
C++
113 lines
4.3 KiB
C++
// Copyright (c) 1999 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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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; version 2.1 of the License.
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// See the file LICENSE.LGPL 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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// $URL$
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// $Id$
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//
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//
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// Author(s) : Sylvain Pion
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// Stefan Schirra
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#ifndef CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
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#define CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
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#include <CGAL/determinant.h>
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CGAL_BEGIN_NAMESPACE
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template <class RT>
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inline
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typename Sgn<RT>::result_type
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sign_of_determinant( const RT& a00, const RT& a01,
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const RT& a10, const RT& a11)
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{
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return enum_cast<Sign>(CGAL_NTS compare( a00*a11, a10*a01));
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}
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template <class RT>
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inline
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typename Sgn<RT>::result_type
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sign_of_determinant( const RT& a00, const RT& a01, const RT& a02,
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const RT& a10, const RT& a11, const RT& a12,
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const RT& a20, const RT& a21, const RT& a22)
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{
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return CGAL_NTS sign(determinant(a00, a01, a02,
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a10, a11, a12,
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a20, a21, a22));
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}
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template <class RT>
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inline
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typename Sgn<RT>::result_type
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sign_of_determinant(
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const RT& a00, const RT& a01, const RT& a02, const RT& a03,
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const RT& a10, const RT& a11, const RT& a12, const RT& a13,
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const RT& a20, const RT& a21, const RT& a22, const RT& a23,
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const RT& a30, const RT& a31, const RT& a32, const RT& a33)
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{
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return CGAL_NTS sign(determinant(a00, a01, a02, a03,
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a10, a11, a12, a13,
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a20, a21, a22, a23,
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a30, a31, a32, a33));
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}
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template <class RT>
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CGAL_KERNEL_LARGE_INLINE
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typename Sgn<RT>::result_type
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sign_of_determinant(
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const RT& a00, const RT& a01, const RT& a02, const RT& a03, const RT& a04,
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const RT& a10, const RT& a11, const RT& a12, const RT& a13, const RT& a14,
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const RT& a20, const RT& a21, const RT& a22, const RT& a23, const RT& a24,
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const RT& a30, const RT& a31, const RT& a32, const RT& a33, const RT& a34,
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const RT& a40, const RT& a41, const RT& a42, const RT& a43, const RT& a44)
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{
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return CGAL_NTS sign(determinant(a00, a01, a02, a03, a04,
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a10, a11, a12, a13, a14,
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a20, a21, a22, a23, a24,
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a30, a31, a32, a33, a34,
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a40, a41, a42, a43, a44));
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}
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template <class RT>
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CGAL_KERNEL_LARGE_INLINE
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typename Sgn<RT>::result_type
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sign_of_determinant(
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const RT& a00, const RT& a01, const RT& a02, const RT& a03, const RT& a04,
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const RT& a05,
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const RT& a10, const RT& a11, const RT& a12, const RT& a13, const RT& a14,
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const RT& a15,
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const RT& a20, const RT& a21, const RT& a22, const RT& a23, const RT& a24,
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const RT& a25,
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const RT& a30, const RT& a31, const RT& a32, const RT& a33, const RT& a34,
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const RT& a35,
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const RT& a40, const RT& a41, const RT& a42, const RT& a43, const RT& a44,
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const RT& a45,
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const RT& a50, const RT& a51, const RT& a52, const RT& a53, const RT& a54,
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const RT& a55)
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{
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return CGAL_NTS sign(determinant(a00, a01, a02, a03, a04, a05,
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a10, a11, a12, a13, a14, a15,
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a20, a21, a22, a23, a24, a25,
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a30, a31, a32, a33, a34, a35,
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a40, a41, a42, a43, a44, a45,
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a50, a51, a52, a53, a54, a55));
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}
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CGAL_END_NAMESPACE
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#endif // CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
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