cgal/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h

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// Copyright (c) 2006-2008 Inria Lorraine (France). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 3 of the License,
// or (at your option) any later version.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
//
// Author: Luis Peñaranda <luis.penaranda@gmx.com>
#ifndef CGAL_RS_ALGEBRAIC_1_H
#define CGAL_RS_ALGEBRAIC_1_H
#include <CGAL/Gmpz.h>
#include <CGAL/Gmpq.h>
#include <CGAL/Gmpfr.h>
#include <CGAL/Gmpfi.h>
#include <boost/operators.hpp>
namespace CGAL{
class RS_polynomial_1;
class Algebraic_1;
bool operator<(const Algebraic_1&,const Algebraic_1&);
bool operator==(const Algebraic_1&,const Algebraic_1&);
// representation of algebraic numbers
class Algebraic_1_rep{
public:
mutable mpfi_t _mpfi;
RS_polynomial_1 *_poly;
int _nr;
int _mult;
mpfi_ptr _prev,_next;
mutable Sign _lefteval;
Algebraic_1_rep():
_poly(NULL),_nr(-1),_mult(-1),
_prev(NULL),_next(NULL),_lefteval(ZERO){}
~Algebraic_1_rep(){}
private:
Algebraic_1_rep(const Algebraic_1_rep&);
Algebraic_1_rep& operator=(const Algebraic_1_rep&);
};
// The class of the algebraic numbers.
class Algebraic_1 : Handle_for<Algebraic_1_rep>,
boost::totally_ordered1<Algebraic_1>{
typedef Handle_for<Algebraic_1_rep> Base;
public:
Algebraic_1(const Algebraic_1&,mpfr_prec_t,mpfr_prec_t);
Algebraic_1();
Algebraic_1(int);
Algebraic_1(unsigned);
Algebraic_1(long);
Algebraic_1(unsigned long);
Algebraic_1(double);
Algebraic_1(mpz_srcptr);
Algebraic_1(mpq_srcptr);
Algebraic_1(mpfr_srcptr);
Algebraic_1(mpfi_srcptr);
Algebraic_1(const Gmpz&);
Algebraic_1(const Gmpq&);
Algebraic_1(const Gmpfr&);
// the only interesting constructor
Algebraic_1(mpfi_srcptr,
const RS_polynomial_1&,
int,
int,
mpfi_ptr,
mpfi_ptr);
// the another interesting variant
Algebraic_1(mpfi_srcptr,
const RS_polynomial_1&,
int,
int,
mpfi_ptr,
mpfi_ptr,
CGAL::Sign);
// functions related to the member data
mpfi_srcptr mpfi()const;
mpfi_ptr mpfi();
Gmpfi interval()const;
Gmpfr inf()const;
Gmpfr sup()const;
const RS_polynomial_1& pol()const;
int nr()const;
int mult()const;
void set_mpfi(mpfi_srcptr);
void set_mpfi_ptr(mpfi_srcptr);
void clear_pol();
void set_pol(const RS_polynomial_1 &);
void set_nr(int);
void set_mult(int);
void set_prec(mp_prec_t);
void set_prev(mpfi_ptr);
void set_next(mpfi_ptr);
void set_lefteval(Sign)const;
mp_prec_t get_prec()const;
mpfi_ptr prev()const;
mpfi_ptr next()const;
Sign lefteval()const;
mpfr_srcptr left()const;
mpfr_srcptr right()const;
bool is_consistent()const;
bool is_point()const; // are endpoints equal?
bool overlaps(const Algebraic_1&)const;
bool contains(int n)const;
bool contains(mpfr_srcptr)const;
bool contains(const Gmpz&)const;
Algebraic_1 operator+()const;
Algebraic_1 operator-()const;
bool is_valid()const;
bool is_finite()const;
/*template<class>*/ double to_double()const;
std::pair<double,double> to_interval() const;
Algebraic_1 sqrt()const;
}; // class Algebraic_1
} // namespace CGAL
#include <CGAL/RS/algebraic_1_constructors.h>
#include <CGAL/RS/algebraic_1_operators.h>
#include <CGAL/RS/algebraic_1_member.h> // other member functions
#include <CGAL/RS/algebraic_1_comparisons.h>
#include <CGAL/RS/algebraic_1_other.h> // related non-member functions
#include <CGAL/RS/algebraic_1_real_embeddable.h>
#endif // CGAL_RS_ALGEBRAIC_1_H