225 lines
20 KiB
Plaintext
225 lines
20 KiB
Plaintext
///////////////////////////////////////////////////////////////
|
|
// Copyright 2012 John Maddock. Distributed under the Boost
|
|
// Software License, Version 1.0. (See accompanying file
|
|
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
|
|
//
|
|
// Comparison operators for cpp_int_backend:
|
|
//
|
|
#ifndef BOOST_MP_CPP_INT_LIM_HPP
|
|
#define BOOST_MP_CPP_INT_LIM_HPP
|
|
|
|
namespace std{
|
|
|
|
namespace detail{
|
|
|
|
#ifdef _MSC_VER
|
|
#pragma warning(push)
|
|
#pragma warning(disable:4307)
|
|
#endif
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_min(const boost::mpl::true_&, const boost::mpl::true_&)
|
|
{
|
|
// Bounded and signed.
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
|
|
static const result_type val = -result_type(~ui_type(0));
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_min(const boost::mpl::true_&, const boost::mpl::false_&)
|
|
{
|
|
// Bounded and unsigned:
|
|
static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_min(const boost::mpl::false_&, const boost::mpl::true_&)
|
|
{
|
|
// Unbounded and signed.
|
|
// There is no minimum value, just return 0:
|
|
static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_min(const boost::mpl::false_&, const boost::mpl::false_&)
|
|
{
|
|
// Unbound and unsigned:
|
|
static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_max(const boost::mpl::true_&, const boost::mpl::true_&)
|
|
{
|
|
// Bounded and signed.
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
|
|
static const result_type val = ~ui_type(0);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_max(const boost::mpl::true_&, const boost::mpl::false_&)
|
|
{
|
|
// Bound and unsigned:
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
|
|
typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
|
|
static const result_type val = ~ui_type(0);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_max(const boost::mpl::false_&, const boost::mpl::true_&)
|
|
{
|
|
// Unbounded and signed.
|
|
// There is no maximum value, just return 0:
|
|
static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
|
|
return val;
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
|
|
get_max(const boost::mpl::false_&, const boost::mpl::false_&)
|
|
{
|
|
// Unbound and unsigned:
|
|
static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
|
|
return val;
|
|
}
|
|
|
|
}
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
class numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >
|
|
{
|
|
typedef boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> backend_type;
|
|
typedef boost::multiprecision::number<backend_type, ExpressionTemplates> number_type;
|
|
|
|
struct inititializer
|
|
{
|
|
inititializer()
|
|
{
|
|
(std::numeric_limits<number_type>::max)();
|
|
(std::numeric_limits<number_type>::min)();
|
|
}
|
|
void do_nothing()const{}
|
|
};
|
|
|
|
static const inititializer init;
|
|
|
|
public:
|
|
BOOST_STATIC_CONSTEXPR bool is_specialized = true;
|
|
//
|
|
// Largest and smallest numbers are bounded only by available memory, set
|
|
// to zero:
|
|
//
|
|
static number_type (min)()
|
|
{
|
|
init.do_nothing();
|
|
return detail::get_min<MinBits, MaxBits, SignType, Checked, Allocator, ExpressionTemplates>(boost::multiprecision::backends::is_fixed_precision<backend_type>(), boost::multiprecision::is_signed_number<backend_type>());
|
|
}
|
|
static number_type (max)()
|
|
{
|
|
init.do_nothing();
|
|
return detail::get_max<MinBits, MaxBits, SignType, Checked, Allocator, ExpressionTemplates>(boost::multiprecision::backends::is_fixed_precision<backend_type>(), boost::multiprecision::is_signed_number<backend_type>());
|
|
}
|
|
static number_type lowest() { return (min)(); }
|
|
BOOST_STATIC_CONSTEXPR int digits = boost::multiprecision::backends::max_precision<backend_type>::value == UINT_MAX ? INT_MAX : boost::multiprecision::backends::max_precision<backend_type>::value;
|
|
BOOST_STATIC_CONSTEXPR int digits10 = (digits > INT_MAX / 301) ? (digits / 1000) * 301L : (digits * 301) / 1000;
|
|
BOOST_STATIC_CONSTEXPR int max_digits10 = digits10 + 3;
|
|
BOOST_STATIC_CONSTEXPR bool is_signed = boost::multiprecision::is_signed_number<backend_type>::value;
|
|
BOOST_STATIC_CONSTEXPR bool is_integer = true;
|
|
BOOST_STATIC_CONSTEXPR bool is_exact = true;
|
|
BOOST_STATIC_CONSTEXPR int radix = 2;
|
|
static number_type epsilon() { return 0; }
|
|
static number_type round_error() { return 0; }
|
|
BOOST_STATIC_CONSTEXPR int min_exponent = 0;
|
|
BOOST_STATIC_CONSTEXPR int min_exponent10 = 0;
|
|
BOOST_STATIC_CONSTEXPR int max_exponent = 0;
|
|
BOOST_STATIC_CONSTEXPR int max_exponent10 = 0;
|
|
BOOST_STATIC_CONSTEXPR bool has_infinity = false;
|
|
BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = false;
|
|
BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
|
|
BOOST_STATIC_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
|
|
BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false;
|
|
static number_type infinity() { return 0; }
|
|
static number_type quiet_NaN() { return 0; }
|
|
static number_type signaling_NaN() { return 0; }
|
|
static number_type denorm_min() { return 0; }
|
|
BOOST_STATIC_CONSTEXPR bool is_iec559 = false;
|
|
BOOST_STATIC_CONSTEXPR bool is_bounded = boost::multiprecision::backends::is_fixed_precision<backend_type>::value;
|
|
BOOST_STATIC_CONSTEXPR bool is_modulo = (boost::multiprecision::backends::is_fixed_precision<backend_type>::value && (Checked == boost::multiprecision::unchecked));
|
|
BOOST_STATIC_CONSTEXPR bool traps = false;
|
|
BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
|
|
BOOST_STATIC_CONSTEXPR float_round_style round_style = round_toward_zero;
|
|
};
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
const typename numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::inititializer numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::init;
|
|
|
|
#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
|
|
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::digits;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::digits10;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_digits10;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_signed;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_integer;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_exact;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::radix;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::min_exponent;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::min_exponent10;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_exponent;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_exponent10;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_infinity;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_quiet_NaN;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_signaling_NaN;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_denorm;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_denorm_loss;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_iec559;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_bounded;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_modulo;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::traps;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::tinyness_before;
|
|
template <unsigned MinBits, unsigned MaxBits, boost::multiprecision::cpp_integer_type SignType, boost::multiprecision::cpp_int_check_type Checked, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
|
|
BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::round_style;
|
|
|
|
#endif
|
|
#ifdef _MSC_VER
|
|
#pragma warning(pop)
|
|
#endif
|
|
|
|
} // namespace std
|
|
|
|
#endif
|