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1 // (C) Copyright David Abrahams 2001, Howard Hinnant 2001.
2 //
3 // Distributed under the Boost Software License, Version 1.0. (See
4 // accompanying file LICENSE_1_0.txt or copy at
5 // http://www.boost.org/LICENSE_1_0.txt)
6 //
7 // Template class numeric_traits<Number> --
8 //
9 // Supplies:
10 //
11 // typedef difference_type -- a type used to represent the difference
12 // between any two values of Number.
13 //
14 // Support:
15 // 1. Not all specializations are supplied
16 //
17 // 2. Use of specializations that are not supplied will cause a
18 // compile-time error
19 //
20 // 3. Users are free to specialize numeric_traits for any type.
21 //
22 // 4. Right now, specializations are only supplied for integer types.
23 //
24 // 5. On implementations which do not supply compile-time constants in
25 // std::numeric_limits<>, only specializations for built-in integer types
26 // are supplied.
27 //
28 // 6. Handling of numbers whose range of representation is at least as
29 // great as boost::intmax_t can cause some differences to be
30 // unrepresentable in difference_type:
31 //
32 // Number difference_type
33 // ------ ---------------
34 // signed Number
35 // unsigned intmax_t
36 //
37 // template <class Number> typename numeric_traits<Number>::difference_type
38 // numeric_distance(Number x, Number y)
39 // computes (y - x), attempting to avoid overflows.
40 //
41
42 // See http://www.boost.org for most recent version including documentation.
43
44 // Revision History
45 // 11 Feb 2001 - Use BOOST_STATIC_CONSTANT (David Abrahams)
46 // 11 Feb 2001 - Rolled back ineffective Borland-specific code
47 // (David Abrahams)
48 // 10 Feb 2001 - Rolled in supposed Borland fixes from John Maddock, but
49 // not seeing any improvement yet (David Abrahams)
50 // 06 Feb 2001 - Factored if_true out into boost/detail/select_type.hpp
51 // (David Abrahams)
52 // 23 Jan 2001 - Fixed logic of difference_type selection, which was
53 // completely wack. In the process, added digit_traits<>
54 // to compute the number of digits in intmax_t even when
55 // not supplied by numeric_limits<>. (David Abrahams)
56 // 21 Jan 2001 - Created (David Abrahams)
57
58 #ifndef BOOST_NUMERIC_TRAITS_HPP_DWA20001901
59 # define BOOST_NUMERIC_TRAITS_HPP_DWA20001901
60
61 # include <boost/config.hpp>
62 # include <boost/cstdint.hpp>
63 # include <boost/static_assert.hpp>
64 # include <boost/type_traits.hpp>
65 # include <boost/detail/select_type.hpp>
66 # include <boost/limits.hpp>
67
68 namespace boost { namespace detail {
69
70 // Template class is_signed -- determine whether a numeric type is signed
71 // Requires that T is constructable from the literals -1 and 0. Compile-time
72 // error results if that requirement is not met (and thus signedness is not
73 // likely to have meaning for that type).
74 template <class Number>
75 struct is_signed
76 {
77 #if defined(BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS)
78 BOOST_STATIC_CONSTANT(bool, value = (Number(-1) < Number(0)));
79 #else
80 BOOST_STATIC_CONSTANT(bool, value = std::numeric_limits<Number>::is_signed);
81 #endif
82 };
83
84 # ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
85 // digit_traits - compute the number of digits in a built-in integer
86 // type. Needed for implementations on which numeric_limits is not specialized
87 // for intmax_t (e.g. VC6).
88 template <bool is_specialized> struct digit_traits_select;
89
90 // numeric_limits is specialized; just select that version of digits
91 template <> struct digit_traits_select<true>
92 {
93 template <class T> struct traits
94 {
95 BOOST_STATIC_CONSTANT(int, digits = std::numeric_limits<T>::digits);
96 };
97 };
98
99 // numeric_limits is not specialized; compute digits from sizeof(T)
100 template <> struct digit_traits_select<false>
101 {
102 template <class T> struct traits
103 {
104 BOOST_STATIC_CONSTANT(int, digits = (
105 sizeof(T) * std::numeric_limits<unsigned char>::digits
106 - (is_signed<T>::value ? 1 : 0))
107 );
108 };
109 };
110
111 // here's the "usable" template
112 template <class T> struct digit_traits
113 {
114 typedef digit_traits_select<
115 ::std::numeric_limits<T>::is_specialized> selector;
116 typedef typename selector::template traits<T> traits;
117 BOOST_STATIC_CONSTANT(int, digits = traits::digits);
118 };
119 #endif
120
121 // Template class integer_traits<Integer> -- traits of various integer types
122 // This should probably be rolled into boost::integer_traits one day, but I
123 // need it to work without <limits>
124 template <class Integer>
125 struct integer_traits
126 {
127 # ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
128 private:
129 typedef Integer integer_type;
130 typedef std::numeric_limits<integer_type> x;
131 public:
132 typedef typename
133 if_true<(int(x::is_signed)
134 && (!int(x::is_bounded)
135 // digits is the number of no-sign bits
136 || (int(x::digits) + 1 >= digit_traits<boost::intmax_t>::digits)))>::template then<
137 Integer,
138
139 typename if_true<(int(x::digits) + 1 < digit_traits<signed int>::digits)>::template then<
140 signed int,
141
142 typename if_true<(int(x::digits) + 1 < digit_traits<signed long>::digits)>::template then<
143 signed long,
144
145 // else
146 intmax_t
147 >::type>::type>::type difference_type;
148 #else
149 BOOST_STATIC_ASSERT(boost::is_integral<Integer>::value);
150
151 typedef typename
152 if_true<(sizeof(Integer) >= sizeof(intmax_t))>::template then<
153
154 typename if_true<(is_signed<Integer>::value)>::template then<
155 Integer,
156 intmax_t
157 >::type,
158
159 typename if_true<(sizeof(Integer) < sizeof(std::ptrdiff_t))>::template then<
160 std::ptrdiff_t,
161 intmax_t
162 >::type
163 >::type difference_type;
164 # endif
165 };
166
167 // Right now, only supports integers, but should be expanded.
168 template <class Number>
169 struct numeric_traits
170 {
171 typedef typename integer_traits<Number>::difference_type difference_type;
172 };
173
174 template <class Number>
175 typename numeric_traits<Number>::difference_type numeric_distance(Number x, Number y)
176 {
177 typedef typename numeric_traits<Number>::difference_type difference_type;
178 return difference_type(y) - difference_type(x);
179 }
180 }}
181
182 #endif // BOOST_NUMERIC_TRAITS_HPP_DWA20001901