82 lines
3.1 KiB
C
82 lines
3.1 KiB
C
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// Copyright (c) 2006-2013 INRIA Nancy-Grand Est (France). 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/Algebraic_kernel_d/include/CGAL/RS/comparator_1.h $
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// $Id: comparator_1.h 52164b1 2019-10-19T15:34:59+02:00 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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// Author: Luis Peñaranda <luis.penaranda@gmx.com>
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#ifndef CGAL_RS_COMPARATOR_1_H
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#define CGAL_RS_COMPARATOR_1_H
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namespace CGAL{
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namespace RS_AK1{
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template <class Polynomial_,
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class Bound_,
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class Refiner_,
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class Signat_,
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class Ptraits_>
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struct Simple_comparator_1{
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typedef Polynomial_ Polynomial;
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typedef Bound_ Bound;
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typedef Refiner_ Refiner;
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typedef Signat_ Signat;
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typedef Ptraits_ Ptraits;
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typedef typename Ptraits::Gcd_up_to_constant_factor Gcd;
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typedef typename Ptraits::Degree Degree;
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CGAL::Comparison_result
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operator()(const Polynomial &p1,Bound &l1,Bound &r1,
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const Polynomial &p2,Bound &l2,Bound &r2)const{
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CGAL_precondition(l1<=r1&&l2<=r2);
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if(l1<=l2){
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if(r1<l2)
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return SMALLER;
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}else{
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if(r2<l1)
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return LARGER;
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}
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Polynomial G=Gcd()(p1,p2);
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if(Degree()(G)==0)
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return compare_unequal(p1,l1,r1,p2,l2,r2);
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Signat sg(G);
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CGAL::Sign sleft=sg(l1>l2?l1:l2);
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if(sleft==ZERO)
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return EQUAL;
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CGAL::Sign sright=sg(r1<r2?r1:r2);
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if(sleft!=sright)
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return EQUAL;
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else
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return compare_unequal(p1,l1,r1,p2,l2,r2);
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}
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// This function compares two algebraic numbers, assuming that they
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// are not equal.
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CGAL::Comparison_result
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compare_unequal(const Polynomial &p1,Bound &l1,Bound &r1,
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const Polynomial &p2,Bound &l2,Bound &r2)const{
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CGAL_precondition(l1<=r1&&l2<=r2);
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int prec=CGAL::max(
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CGAL::max(l1.get_precision(),
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r1.get_precision()),
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CGAL::max(l2.get_precision(),
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r2.get_precision()));
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do{
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prec*=2;
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Refiner()(p1,l1,r1,prec);
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Refiner()(p2,l2,r2,prec);
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CGAL_assertion(l1<=r1&&l2<=r2);
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}while(l1<=l2?r1>=l2:r2>=l1);
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return (r1<l2?SMALLER:LARGER);
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}
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}; // struct Simple_comparator_1
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} // namespace RS_AK1
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} // namespace CGAL
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#endif // CGAL_RS_COMPARATOR_1_H
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