mirror of https://github.com/CGAL/cgal
68 lines
2.2 KiB
C++
68 lines
2.2 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) : Andreas Fabri
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#ifndef CGAL_SOLVE_H
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#define CGAL_SOLVE_H
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CGAL_BEGIN_NAMESPACE
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template <class FT>
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void solve (const FT &a1, const FT &a2, const FT &a3,
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const FT &b1, const FT &b2, const FT &b3,
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const FT &c1, const FT &c2, const FT &c3,
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const FT &d1, const FT &d2, const FT &d3,
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FT &x, FT &y, FT &z)
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{
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FT denom = b2*c1*a3-b1*c2*a3+c3*b1*a2+b3*c2*a1-c1*b3*a2-b2*c3*a1;
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x = - (b2*c3*d1-b2*c1*d3+c1*b3*d2+b1*c2*d3-c3*b1*d2-b3*c2*d1)/denom;
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z = (b2*d1*a3-b2*a1*d3+b1*a2*d3-b1*d2*a3-d1*b3*a2+a1*b3*d2)/denom;
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y = (a2*c3*d1-a2*c1*d3-c2*d1*a3+c2*a1*d3+d2*c1*a3-d2*c3*a1)/denom;
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}
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// this is for a parabola c1, c2, c3 are equal to 1
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template <class FT>
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void solve_quadratic (const FT &a1, const FT &a2, const FT &a3,
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const FT &b1, const FT &b2, const FT &b3,
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const FT &d1, const FT &d2, const FT &d3,
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FT &x, FT &y, FT &z)
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{
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FT denom = b2*a3-b1*a3+b1*a2+b3*a1-b3*a2-b2*a1;
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x = - (b2*d1-b2*d3+b3*d2+b1*d3-b1*d2-b3*d1)/denom;
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z = (b2*d1*a3-b2*a1*d3+b1*a2*d3-b1*d2*a3-d1*b3*a2+a1*b3*d2)/denom;
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y = (a2*d1-a2*d3-d1*a3+a1*d3+d2*a3-d2*a1)/denom;
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}
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CGAL_END_NAMESPACE
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#endif // CGAL_SOLVE_H
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