/usr/include/CGAL/mpq_class.h is in libcgal-dev 4.7-4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// Utrecht University (The Netherlands),
// ETH Zurich (Switzerland),
// INRIA Sophia-Antipolis (France),
// Max-Planck-Institute Saarbruecken (Germany),
// and Tel-Aviv University (Israel). 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) : Sylvain Pion, Michael Hemmer
#ifndef CGAL_MPQ_CLASS_H
#define CGAL_MPQ_CLASS_H
#include <CGAL/number_type_basic.h>
#include <CGAL/gmpxx_coercion_traits.h>
#include <CGAL/mpz_class.h> // for GCD in Type traits
// This file gathers the necessary adaptors so that the following
// C++ number types that come with GMP can be used by CGAL :
// - mpq_class
// Note that GMP++ use the expression template mechanism, which makes things
// a little bit complicated in order to make square(x+y) work for example.
// Reading gmpxx.h shows that ::__gmp_expr<T, T> is the mp[zqf]_class proper,
// while ::__gmp_expr<T, U> is the others "expressions".
#define CGAL_CHECK_GMP_EXPR \
CGAL_static_assertion( \
(::boost::is_same< ::__gmp_expr< T , T >,Type>::value ));
namespace CGAL {
// AST for mpq_class
template<>
class Algebraic_structure_traits< mpq_class >
: public Algebraic_structure_traits_base< mpq_class , Field_tag > {
public:
typedef mpq_class Type;
typedef Field_tag Algebraic_category;
typedef Tag_true Is_exact;
typedef Tag_false Is_numerical_sensitive;
struct Is_zero: public std::unary_function< mpq_class , bool > {
template <class T, class U>
bool operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return ::sgn(x) == 0;
}
};
struct Is_one: public std::unary_function< mpq_class , bool > {
template <typename T, typename U>
bool operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return x == 1;
}
};
struct Simplify: public std::unary_function< mpq_class , void > {
void operator()( mpq_class& x) const {
// do nothing because x is already canonical?
x.canonicalize();
}
};
struct Square: public std::unary_function< mpq_class , mpq_class > {
mpq_class operator()( const mpq_class& x) const {
return x*x;
}
};
struct Unit_part: public std::unary_function< mpq_class , mpq_class > {
mpq_class operator()( const mpq_class& x) const {
return( x == 0) ? mpq_class(1) : x;
}
};
struct Integral_division
: public std::binary_function< mpq_class , mpq_class, mpq_class > {
template <typename T, typename U1, typename U2>
mpq_class operator()(
const ::__gmp_expr< T , U1 >& x,
const ::__gmp_expr< T , U2 > & y) const {
CGAL_CHECK_GMP_EXPR;
mpq_class result = x / y;
CGAL_precondition_msg( result * y == x,
"'x' must be divisible by 'y' in "
"Algebraic_structure_traits<mpq_class>::Integral_div()(x,y)" );
return result;
}
CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR( Type )
};
class Is_square
: public std::binary_function< mpq_class, mpq_class&, bool > {
public:
bool operator()( const mpq_class& x, mpq_class& y ) const {
y = mpq_class (::sqrt( x.get_num() ), ::sqrt( x.get_den() )) ;
return y*y == x;
// for efficiency, only handle den if num is a square
}
bool operator()( const mpq_class& x ) const {
mpq_class y;
return operator()(x,y);
}
};
};
// RET for mpq_class
template < >
class Real_embeddable_traits< mpq_class >
: public INTERN_RET::Real_embeddable_traits_base< mpq_class , CGAL::Tag_true > {
public:
struct Is_zero: public std::unary_function< mpq_class , bool > {
template <typename T, typename U>
bool operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return ::sgn(x) == 0;
}
};
struct Is_finite: public std::unary_function<mpq_class,bool> {
template <typename T, typename U>
bool operator()( const ::__gmp_expr< T , U >&) const {
CGAL_CHECK_GMP_EXPR;
return true;
}
};
struct Is_positive: public std::unary_function< mpq_class , bool > {
template <typename T, typename U>
bool operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return ::sgn(x) > 0;
}
};
struct Is_negative: public std::unary_function< mpq_class , bool > {
template <typename T, typename U>
bool operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return ::sgn(x) < 0;
}
};
struct Abs: public std::unary_function< mpq_class , mpq_class > {
template <typename T, typename U>
mpq_class operator()( const ::__gmp_expr< T , U >& x) const {
CGAL_CHECK_GMP_EXPR;
return ::abs(x);
}
};
struct Sgn
: public std::unary_function< mpq_class, ::CGAL::Sign > {
public:
template <typename T, typename U>
::CGAL::Sign
operator()( const ::__gmp_expr< T , U >& x ) const {
CGAL_CHECK_GMP_EXPR;
return (::CGAL::Sign) ::sgn( x );
}
};
struct Compare
: public std::binary_function< mpq_class, mpq_class, Comparison_result>
{
template <typename T, typename U1, typename U2>
Comparison_result operator()(
const ::__gmp_expr< T , U1 >& x,
const ::__gmp_expr< T , U2 >& y ) const {
CGAL_CHECK_GMP_EXPR;
// cmp returns any int value, not just -1/0/1...
return (Comparison_result) CGAL_NTS sign( ::cmp(x, y) );
}
CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR_WITH_RT
( Type, Comparison_result)
};
struct To_double
: public std::unary_function< mpq_class, double > {
double operator()( const mpq_class& x ) const {
return x.get_d();
}
};
struct To_interval
: public std::unary_function< mpq_class, std::pair< double, double > > {
std::pair<double, double>
operator()( const mpq_class& x ) const {
mpfr_t y;
mpfr_init2 (y, 53); /* Assume IEEE-754 */
mpfr_set_q (y, x.get_mpq_t(), GMP_RNDD);
double i = mpfr_get_d (y, GMP_RNDD); /* EXACT but can overflow */
mpfr_set_q (y, x.get_mpq_t(), 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 mpq_class
*/
template <>
class Fraction_traits< mpq_class > {
public:
typedef mpq_class Type;
typedef ::CGAL::Tag_true Is_fraction;
typedef mpz_class Numerator_type;
typedef mpz_class Denominator_type;
typedef Algebraic_structure_traits< mpz_class >::Gcd Common_factor;
class Decompose {
public:
typedef mpq_class first_argument_type;
typedef mpz_class& second_argument_type;
typedef mpz_class& third_argument_type;
void operator () (
const mpq_class& rat,
mpz_class& num,
mpz_class& den) {
num = rat.get_num();
den = rat.get_den();
}
};
class Compose {
public:
typedef mpz_class first_argument_type;
typedef mpz_class second_argument_type;
typedef mpq_class result_type;
mpq_class operator ()(
const mpz_class& num ,
const mpz_class& den ) {
mpq_class result(num, den);
result.canonicalize();
return result;
}
};
};
} //namespace CGAL
#undef CGAL_CHECK_GMP_EXPR
#endif // CGAL_MPQ_CLASS_H
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