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+// (C) Copyright David Abrahams 2001, Howard Hinnant 2001.
+//
+// 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_0.txt)
+//
+// Template class numeric_traits<Number> --
+//
+// Supplies:
+//
+// typedef difference_type -- a type used to represent the difference
+// between any two values of Number.
+//
+// Support:
+// 1. Not all specializations are supplied
+//
+// 2. Use of specializations that are not supplied will cause a
+// compile-time error
+//
+// 3. Users are free to specialize numeric_traits for any type.
+//
+// 4. Right now, specializations are only supplied for integer types.
+//
+// 5. On implementations which do not supply compile-time constants in
+// std::numeric_limits<>, only specializations for built-in integer types
+// are supplied.
+//
+// 6. Handling of numbers whose range of representation is at least as
+// great as boost::intmax_t can cause some differences to be
+// unrepresentable in difference_type:
+//
+// Number difference_type
+// ------ ---------------
+// signed Number
+// unsigned intmax_t
+//
+// template <class Number> typename numeric_traits<Number>::difference_type
+// numeric_distance(Number x, Number y)
+// computes (y - x), attempting to avoid overflows.
+//
+
+// See http://www.boost.org for most recent version including documentation.
+
+// Revision History
+// 11 Feb 2001 - Use BOOST_STATIC_CONSTANT (David Abrahams)
+// 11 Feb 2001 - Rolled back ineffective Borland-specific code
+// (David Abrahams)
+// 10 Feb 2001 - Rolled in supposed Borland fixes from John Maddock, but
+// not seeing any improvement yet (David Abrahams)
+// 06 Feb 2001 - Factored if_true out into boost/detail/select_type.hpp
+// (David Abrahams)
+// 23 Jan 2001 - Fixed logic of difference_type selection, which was
+// completely wack. In the process, added digit_traits<>
+// to compute the number of digits in intmax_t even when
+// not supplied by numeric_limits<>. (David Abrahams)
+// 21 Jan 2001 - Created (David Abrahams)
+
+#ifndef BOOST_NUMERIC_TRAITS_HPP_DWA20001901
+#define BOOST_NUMERIC_TRAITS_HPP_DWA20001901
+
+#include <cstddef>
+#include <boost/config.hpp>
+#include <boost/limits.hpp>
+#include <boost/cstdint.hpp>
+#include <boost/type_traits/is_signed.hpp>
+#include <boost/type_traits/conditional.hpp>
+#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+#include <boost/static_assert.hpp>
+#include <boost/type_traits/is_integral.hpp>
+#endif
+
+namespace boost { namespace detail {
+
+#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ // digit_traits - compute the number of digits in a built-in integer
+ // type. Needed for implementations on which numeric_limits is not specialized
+ // for some integer types, like __int128 in libstdc++ (gcc).
+ template <class T, bool IsSpecialized = std::numeric_limits<T>::is_specialized>
+ struct digit_traits
+ {
+ BOOST_STATIC_CONSTANT(int, digits = std::numeric_limits<T>::digits);
+ };
+
+ // numeric_limits is not specialized; compute digits from sizeof(T)
+ template <class T>
+ struct digit_traits<T, false>
+ {
+ BOOST_STATIC_CONSTANT(int, digits = (
+ sizeof(T) * std::numeric_limits<unsigned char>::digits
+ - (boost::is_signed<T>::value ? 1 : 0))
+ );
+ };
+#endif
+
+ // Template class integer_traits<Integer> -- traits of various integer types
+ // This should probably be rolled into boost::integer_traits one day, but I
+ // need it to work without <limits>
+ template <class Integer>
+ struct integer_traits
+ {
+#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ private:
+ typedef Integer integer_type;
+ typedef std::numeric_limits<integer_type> x;
+ public:
+ typedef typename boost::conditional<
+ (int(x::is_signed)
+ && (!int(x::is_bounded)
+ // digits is the number of no-sign bits
+ || (int(x::digits) + 1 >= digit_traits<boost::intmax_t>::digits))),
+ Integer,
+
+ typename boost::conditional<
+ (int(x::digits) + 1 < digit_traits<signed int>::digits),
+ signed int,
+
+ typename boost::conditional<
+ (int(x::digits) + 1 < digit_traits<signed long>::digits),
+ signed long,
+ boost::intmax_t
+ >::type
+ >::type
+ >::type difference_type;
+#else
+ BOOST_STATIC_ASSERT(boost::is_integral<Integer>::value);
+
+ typedef typename boost::conditional<
+ (sizeof(Integer) >= sizeof(intmax_t)),
+
+ boost::conditional<
+ (boost::is_signed<Integer>::value),
+ Integer,
+ boost::intmax_t
+ >,
+
+ boost::conditional<
+ (sizeof(Integer) < sizeof(std::ptrdiff_t)),
+ std::ptrdiff_t,
+ boost::intmax_t
+ >
+ >::type::type difference_type;
+#endif
+ };
+
+ // Right now, only supports integers, but should be expanded.
+ template <class Number>
+ struct numeric_traits
+ {
+ typedef typename integer_traits<Number>::difference_type difference_type;
+ };
+
+ template <class Number>
+ inline BOOST_CONSTEXPR typename numeric_traits<Number>::difference_type numeric_distance(Number x, Number y)
+ {
+ typedef typename numeric_traits<Number>::difference_type difference_type;
+ return difference_type(y) - difference_type(x);
+ }
+}}
+
+#endif // BOOST_NUMERIC_TRAITS_HPP_DWA20001901