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- ///////////////////////////////////////////////////////////////
- // 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{
- 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
- } // namespace std
- #endif
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