89 lines
2.1 KiB
C
89 lines
2.1 KiB
C
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// Copyright (c) 2005-2006 INRIA Sophia-Antipolis (France).
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// 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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// Partially supported by the IST Programme of the EU as a Shared-cost
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// RTD (FET Open) Project under Contract No IST-2000-26473
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// (ECG - Effective Computational Geometry for Curves and Surfaces)
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// and a STREP (FET Open) Project under Contract No IST-006413
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// (ACS -- Algorithms for Complex Shapes)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Algebraic_kernel_for_spheres/include/CGAL/Polynomials_2_3.h $
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// $Id: Polynomials_2_3.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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// Author(s) : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
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// Sylvain Pion
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// Pedro Machado
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// Julien Hazebrouck
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// Damien Leroy
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#ifndef CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_2_3_H
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#define CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_2_3_H
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#include <CGAL/license/Circular_kernel_3.h>
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#include <CGAL/enum.h>
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namespace CGAL {
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// polynomials of the form (X-a)^2 + (Y-b)^2 + (Z-c)^2 - R^2
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template < typename FT_ >
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class Polynomial_for_spheres_2_3
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{
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FT_ rep[4]; // stores a, b, c, R^2
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public:
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typedef FT_ FT;
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Polynomial_for_spheres_2_3(){}
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Polynomial_for_spheres_2_3(const FT & a, const FT & b, const FT & c, const FT & rsq)
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{
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rep[0]=a;
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rep[1]=b;
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rep[2]=c;
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rep[3]=rsq;
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}
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const FT & a() const
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{ return rep[0]; }
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const FT & b() const
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{ return rep[1]; }
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const FT & c() const
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{ return rep[2]; }
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const FT & r_sq() const
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{ return rep[3]; }
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bool empty_space() const {
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return is_negative(r_sq());
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}
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bool isolated_point() const {
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return is_zero(r_sq());
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}
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};
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template < typename FT >
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inline
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bool
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operator == ( const Polynomial_for_spheres_2_3<FT> & p1,
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const Polynomial_for_spheres_2_3<FT> & p2 )
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{
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return( (p1.a() == p2.a()) &&
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(p1.b() == p2.b()) &&
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(p1.c() == p2.c()) &&
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(p1.r_sq() == p2.r_sq()) );
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}
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} //namespace CGAL
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#endif //CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_2_3_H
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