/usr/include/CGAL/long_double.h is in libcgal-dev 4.2-5ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 | // Copyright (c) 2005,2007
// 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_LONG_DOUBLE_H
#define CGAL_LONG_DOUBLE_H
#include <CGAL/number_type_basic.h>
#include <utility>
#include <cmath>
#ifdef CGAL_CFG_IEEE_754_BUG
# include <CGAL/IEEE_754_unions.h>
#endif
// #include <CGAL/FPU.h>
#include <CGAL/Interval_nt.h>
namespace CGAL {
// Is_valid moved to top, since used by is_finite
#ifdef CGAL_CFG_IEEE_754_BUG
#define CGAL_EXPONENT_DOUBLE_MASK 0x7ff00000
#define CGAL_MANTISSA_DOUBLE_MASK 0x000fffff
inline
bool
is_finite_by_mask_long_double(unsigned int h)
{
unsigned int e = h & CGAL_EXPONENT_DOUBLE_MASK;
return ( ( e ^ CGAL_EXPONENT_DOUBLE_MASK ) != 0 );
}
inline
bool
is_nan_by_mask_long_double(unsigned int h, unsigned int l)
{
if ( is_finite_by_mask_long_double(h) )
return false;
return (( h & CGAL_MANTISSA_DOUBLE_MASK ) != 0) || (( l & 0xffffffff ) != 0);
}
template<>
class Is_valid< long double >
: public std::unary_function< long double, bool > {
public :
bool operator()( const long double& x ) const {
double d = x;
IEEE_754_double* p = reinterpret_cast<IEEE_754_double*>(&d);
return ! ( is_nan_by_mask_long_double( p->c.H, p->c.L ));
}
};
#else
template<>
class Is_valid< long double >
: public std::unary_function< long double, bool > {
public :
bool operator()( const long double& x ) const {
return (x == x);
}
};
#endif
template <> class Algebraic_structure_traits< long double >
: public Algebraic_structure_traits_base< long double,
Field_with_kth_root_tag > {
public:
typedef Tag_false Is_exact;
typedef Tag_true Is_numerical_sensitive;
class Sqrt
: public std::unary_function< Type, Type > {
public:
Type operator()( const Type& x ) const {
return std::sqrt( x );
}
};
class Kth_root
:public std::binary_function<int, Type, Type > {
public:
Type operator()( int k,
const Type& x) const {
CGAL_precondition_msg( k > 0,
"'k' must be positive for k-th roots");
return std::pow(x, (long double)1.0 / (long double)(k));
};
};
};
template <> class Real_embeddable_traits< long double >
: public INTERN_RET::Real_embeddable_traits_base< long double , CGAL::Tag_true > {
public:
class To_interval
: public std::unary_function< Type, std::pair< double, double > > {
public:
std::pair<double, double> operator()( const Type& x ) const {
// The conversion long double to double does not always follow the
// rounding mode (e.g. on MacIntel/g++-4.0.2). So let's do a naive
// conversion to double, then widen the interval.
return (Interval_nt<>((double)x)+Interval_nt<>::smallest()).pair();
#if 0
// We hope that the long double -> double conversion
// follows the current rounding mode.
Protect_FPU_rounding<true> P(CGAL_FE_UPWARD);
volatile long double mx = -x; // needed otherwise the conversion can
// get factorized between d and -d...
if (x>0)
return std::make_pair(- static_cast<double>(CGAL_IA_FORCE_TO_DOUBLE(mx)),
static_cast<double>(CGAL_IA_FORCE_TO_DOUBLE(x)));
else
return std::make_pair((double) CGAL_IA_FORCE_TO_DOUBLE(x),
- (double) CGAL_IA_FORCE_TO_DOUBLE(mx));
#endif
}
};
// Is_finite depends on platform
class Is_finite
: public std::unary_function< Type, bool > {
public:
bool operator()( const Type& x ) const {
#ifdef CGAL_CFG_IEEE_754_BUG
Type d = x;
IEEE_754_double* p = reinterpret_cast<IEEE_754_double*>(&d);
return is_finite_by_mask_long_double( p->c.H );
#else
return (x == x) && (is_valid(x-x));
#endif
}
};
};
} //namespace CGAL
#endif // CGAL_LONG_DOUBLE_H
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