/usr/include/CGAL/Gmpq.h is in libcgal-dev 4.5-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// 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(s) : Michael Hemmer <hemmer@mpi-inf.mpg.de>
#ifndef CGAL_GMPQ_H
#define CGAL_GMPQ_H
#include <CGAL/number_type_basic.h>
#include <CGAL/Gmpz.h>
#include <CGAL/Gmp_coercion_traits.h>
namespace CGAL {
// AST for Gmpq-class
template <> class Algebraic_structure_traits< Gmpq >
: public Algebraic_structure_traits_base< Gmpq, Field_tag > {
public:
typedef Tag_true Is_exact;
typedef Tag_false Is_numerical_sensitive;
class Is_square
: public std::binary_function< Type, Type&,
bool > {
public:
bool operator()( const Type& x_, Type& y ) const {
Gmpq x( x_ );
mpq_canonicalize( x.mpq() );
Algebraic_structure_traits< Gmpz >::Sqrt sqrt;
y = Gmpq( sqrt( x.numerator() ), sqrt( x.denominator() ) );
return y*y == x;
}
bool operator()( const Type& x) const {
Type y;
return operator()(x,y);
}
};
class Simplify
: public std::unary_function< Type&, void > {
public:
void operator()( Type& x) const {
mpq_canonicalize( x.mpq() );
}
};
};
// RET for Gmpq-class
template <> class Real_embeddable_traits< Gmpq >
: public INTERN_RET::Real_embeddable_traits_base< Gmpq , CGAL::Tag_true > {
public:
class Sgn
: public std::unary_function< Type, ::CGAL::Sign > {
public:
::CGAL::Sign operator()( const Type& x ) const {
return x.sign();
}
};
class To_double
: public std::unary_function< Type, double > {
public:
double operator()( const Type& x ) const {
return x.to_double();
}
};
class To_interval
: public std::unary_function< Type, std::pair< double, double > > {
public:
std::pair<double, double> operator()( const Type& x ) const {
mpfr_t y;
mpfr_init2 (y, 53); /* Assume IEEE-754 */
mpfr_set_q (y, x.mpq(), GMP_RNDD);
double i = mpfr_get_d (y, GMP_RNDD); /* EXACT but can overflow */
mpfr_set_q (y, x.mpq(), GMP_RNDU);
double s = mpfr_get_d (y, GMP_RNDU); /* EXACT but can overflow */
mpfr_clear (y);
return std::pair<double, double>(i, s);
}
};
};
/*! \ingroup NiX_Fraction_traits_spec
* \brief Specialization of Fraction_traits for Gmpq
*/
template <>
class Fraction_traits< Gmpq > {
public:
typedef Gmpq Type;
typedef ::CGAL::Tag_true Is_fraction;
typedef Gmpz Numerator_type;
typedef Gmpz Denominator_type;
typedef Algebraic_structure_traits< Gmpz >::Gcd Common_factor;
class Decompose {
public:
typedef Gmpq first_argument_type;
typedef Gmpz& second_argument_type;
typedef Gmpz& third_argument_type;
void operator () (const Gmpq& rat, Gmpz& num,Gmpz& den) {
num = rat.numerator();
den = rat.denominator();
}
};
class Compose {
public:
typedef Gmpz first_argument_type;
typedef Gmpz second_argument_type;
typedef Gmpq result_type;
Gmpq operator () (const Gmpz& num,const Gmpz& den) {
return Gmpq(num, den);
}
};
};
} //namespace CGAL
namespace Eigen {
template<class> struct NumTraits;
template<> struct NumTraits<CGAL::Gmpq>
{
typedef CGAL::Gmpq Real;
typedef CGAL::Gmpq NonInteger;
typedef CGAL::Gmpq Nested;
static inline Real epsilon() { return 0; }
static inline Real dummy_precision() { return 0; }
enum {
IsInteger = 0,
IsSigned = 1,
IsComplex = 0,
RequireInitialization = 1,
ReadCost = 6,
AddCost = 150,
MulCost = 100
};
};
}
//since types are included by Gmp_coercion_traits.h:
#include <CGAL/Gmpz.h>
#include <CGAL/Gmpq.h>
#include <CGAL/Gmpzf.h>
#include <CGAL/GMP_arithmetic_kernel.h>
#endif // CGAL_GMPQ_H
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