170 lines
6.8 KiB
C++
170 lines
6.8 KiB
C++
// 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/rs3_refiner_1.h $
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// $Id: rs3_refiner_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_RS3_REFINER_1_H
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#define CGAL_RS_RS3_REFINER_1_H
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#include <CGAL/Polynomial_traits_d.h>
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#include "rs2_calls.h"
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#include <rs3_fncts.h>
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#include "Gmpfr_make_unique.h"
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// If we want assertions, we need to evaluate.
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#ifndef CGAL_NO_PRECONDITIONS
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#include "signat_1.h"
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#endif
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namespace CGAL{
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namespace RS3{
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template <class Polynomial_,class Bound_>
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struct RS3_refiner_1{
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void operator()(const Polynomial_&,Bound_&,Bound_&,int,int=0);
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}; // class RS3_refiner_1
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template <class Polynomial_,class Bound_>
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void
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RS3_refiner_1<Polynomial_,Bound_>::
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operator()(const Polynomial_&,Bound_&,Bound_&,int,int){
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CGAL_error_msg("RS3 refiner not implemented for these types");
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return;
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}
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template<>
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void
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RS3_refiner_1<Polynomial<Gmpz>,Gmpfr>::
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operator()
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(const Polynomial<Gmpz> &pol,Gmpfr &left,Gmpfr &right,int prec,int k){
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typedef Polynomial<Gmpz> Polynomial;
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typedef Polynomial_traits_d<Polynomial> Ptraits;
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typedef Ptraits::Degree Degree;
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CGAL_precondition(left<=right);
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#ifndef CGAL_NO_PRECONDITIONS
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typedef Ptraits::Make_square_free Sfpart;
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typedef CGAL::RS_AK1::Signat_1<Polynomial,Gmpfr>
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Signat;
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Polynomial sfpp=Sfpart()(pol);
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Signat signof(sfpp);
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CGAL::Sign sl=signof(left);
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CGAL_precondition(sl!=signof(right)||(left==right&&sl==ZERO));
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#endif
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//std::cout<<"refining ["<<left<<","<<right<<"]"<<std::endl;
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int deg=Degree()(pol);
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mpz_t* coefficients=(mpz_t*)malloc((deg+1)*sizeof(mpz_t));
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__mpfi_struct interval;
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// Make sure the endpoints do not share references.
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CGAL_RS_GMPFR_MAKE_UNIQUE(left,temp_left);
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CGAL_RS_GMPFR_MAKE_UNIQUE(right,temp_right);
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// Construct the mpfi_t interval which will be refined.
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interval.left=*(left.fr());
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interval.right=*(right.fr());
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// Construct the polynomial which will be refined (copy pointers).
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for(int i=0;i<=deg;++i)
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coefficients[i][0]=*(pol[i].mpz());
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// Call RS.
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RS2::RS2_calls::init_solver();
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rs3_refine_u_root(&interval,
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coefficients,
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deg,
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prec+CGAL::max(left.get_precision(),
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right.get_precision()),
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k,
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k);
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// Clear variables.
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free(coefficients);
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mpfr_clear(left.fr());
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mpfr_clear(right.fr());
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// Copy results back to the Gmpfr endpoints.
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mpfr_custom_init_set(left.fr(),
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mpfr_custom_get_kind(&interval.left),
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mpfr_custom_get_exp(&interval.left),
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mpfr_get_prec(&interval.left),
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mpfr_custom_get_mantissa(&interval.left));
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mpfr_custom_init_set(right.fr(),
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mpfr_custom_get_kind(&interval.right),
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mpfr_custom_get_exp(&interval.right),
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mpfr_get_prec(&interval.right),
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mpfr_custom_get_mantissa(&interval.right));
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CGAL_postcondition(left<=right);
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//std::cout<<"ref root is ["<<left<<","<<right<<"]"<<std::endl;
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return;
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}
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template<>
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void
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RS3_refiner_1<Polynomial<Gmpq>,Gmpfr>::
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operator()
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(const Polynomial<Gmpq> &qpol,Gmpfr &left,Gmpfr &right,int prec,int k){
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typedef Polynomial<Gmpz> ZPolynomial;
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typedef Polynomial_traits_d<ZPolynomial> ZPtraits;
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typedef ZPtraits::Degree ZDegree;
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CGAL_precondition(left<=right);
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#ifndef CGAL_NO_PRECONDITIONS
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typedef ZPtraits::Make_square_free ZSfpart;
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typedef CGAL::RS_AK1::Signat_1<ZPolynomial,Gmpfr>
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Signat;
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#endif
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//std::cout<<"refining ["<<left<<","<<right<<"]"<<std::endl;
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// Construct a Gmpz polynomial from the original Gmpq polynomial.
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Polynomial<Gmpz> zpol=CGAL::RS_AK1::Polynomial_converter_1<
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CGAL::Polynomial<Gmpq>,
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CGAL::Polynomial<Gmpz> >()(qpol);
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#ifndef CGAL_NO_PRECONDITIONS
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ZPolynomial zsfpp=ZSfpart()(zpol);
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Signat signof(zsfpp);
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CGAL::Sign sl=signof(left);
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CGAL_precondition(sl!=signof(right)||(left==right&&sl==ZERO));
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#endif
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int deg=ZDegree()(zpol);
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mpz_t* coefficients=(mpz_t*)malloc((deg+1)*sizeof(mpz_t));
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__mpfi_struct interval;
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// Make sure the endpoints do not share references.
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CGAL_RS_GMPFR_MAKE_UNIQUE(left,temp_left);
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CGAL_RS_GMPFR_MAKE_UNIQUE(right,temp_right);
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// Construct the mpfi_t interval which will be refined.
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interval.left=*(left.fr());
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interval.right=*(right.fr());
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// Construct the polynomial which will be refined (copy pointers).
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for(int i=0;i<=deg;++i)
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coefficients[i][0]=*(zpol[i].mpz());
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// Call RS.
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RS2::RS2_calls::init_solver();
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rs3_refine_u_root(&interval,
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coefficients,
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deg,
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prec+CGAL::max(left.get_precision(),
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right.get_precision()),
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k,
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k);
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// Clear variables.
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free(coefficients);
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mpfr_clear(left.fr());
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mpfr_clear(right.fr());
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// Copy results back to the Gmpfr endpoints.
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mpfr_custom_init_set(left.fr(),
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mpfr_custom_get_kind(&interval.left),
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mpfr_custom_get_exp(&interval.left),
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mpfr_get_prec(&interval.left),
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mpfr_custom_get_mantissa(&interval.left));
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mpfr_custom_init_set(right.fr(),
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mpfr_custom_get_kind(&interval.right),
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mpfr_custom_get_exp(&interval.right),
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mpfr_get_prec(&interval.right),
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mpfr_custom_get_mantissa(&interval.right));
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CGAL_postcondition(left<=right);
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//std::cout<<"ref root is ["<<left<<","<<right<<"]"<<std::endl;
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return;
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}
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} // namespace RS3
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} // namespace CGAL
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#endif // CGAL_RS_RS3_REFINER_1_H
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