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[ceph.git] / ceph / src / boost / libs / multiprecision / include / boost / multiprecision / cpp_int / limits.hpp
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7c673cae
FG		 1///////////////////////////////////////////////////////////////
2// Copyright 2012 John Maddock. Distributed under the Boost
3// Software License, Version 1.0. (See accompanying file
4// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
5//
6// Comparison operators for cpp_int_backend:
7//
8#ifndef BOOST_MP_CPP_INT_LIM_HPP
9#define BOOST_MP_CPP_INT_LIM_HPP
10
11namespace std{
12
13namespace detail{
14
15#ifdef _MSC_VER
16#pragma warning(push)
17#pragma warning(disable:4307)
18#endif
19
20template <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>
21inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
22 get_min(const boost::mpl::true_&, const boost::mpl::true_&)
23{
24 // Bounded and signed.
25 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
26 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
27 static const result_type val = -result_type(~ui_type(0));
28 return val;
29}
30
31template <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>
32inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
33 get_min(const boost::mpl::true_&, const boost::mpl::false_&)
34{
35 // Bounded and unsigned:
36 static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
37 return val;
38}
39
40template <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>
41inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
42 get_min(const boost::mpl::false_&, const boost::mpl::true_&)
43{
44 // Unbounded and signed.
45 // There is no minimum value, just return 0:
46 static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
47 return val;
48}
49
50template <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>
51inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
52 get_min(const boost::mpl::false_&, const boost::mpl::false_&)
53{
54 // Unbound and unsigned:
55 static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
56 return val;
57}
58
59template <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>
60inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
61 get_max(const boost::mpl::true_&, const boost::mpl::true_&)
62{
63 // Bounded and signed.
64 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
65 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
66 static const result_type val = ~ui_type(0);
67 return val;
68}
69
70template <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>
71inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
72 get_max(const boost::mpl::true_&, const boost::mpl::false_&)
73{
74 // Bound and unsigned:
75 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> result_type;
76 typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, Allocator>, ExpressionTemplates> ui_type;
77 static const result_type val = ~ui_type(0);
78 return val;
79}
80
81template <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>
82inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
83 get_max(const boost::mpl::false_&, const boost::mpl::true_&)
84{
85 // Unbounded and signed.
86 // There is no maximum value, just return 0:
87 static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
88 return val;
89}
90
91template <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>
92inline boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates>
93 get_max(const boost::mpl::false_&, const boost::mpl::false_&)
94{
95 // Unbound and unsigned:
96 static const boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> val(0u);
97 return val;
98}
99
100}
101
102template <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>
103class numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >
104{
105 typedef boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> backend_type;
106 typedef boost::multiprecision::number<backend_type, ExpressionTemplates> number_type;
107
108 struct inititializer
109 {
110 inititializer()
111 {
112 (std::numeric_limits<number_type>::max)();
113 (std::numeric_limits<number_type>::min)();
114 }
115 void do_nothing()const{}
116 };
117
118 static const inititializer init;
119
120public:
121 BOOST_STATIC_CONSTEXPR bool is_specialized = true;
122 //
123 // Largest and smallest numbers are bounded only by available memory, set
124 // to zero:
125 //
126 static number_type (min)()
127 {
128 init.do_nothing();
129 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>());
130 }
131 static number_type (max)()
132 {
133 init.do_nothing();
134 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>());
135 }
136 static number_type lowest() { return (min)(); }
137 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;
138 BOOST_STATIC_CONSTEXPR int digits10 = (digits > INT_MAX / 301) ? (digits / 1000) * 301L : (digits * 301) / 1000;
139 BOOST_STATIC_CONSTEXPR int max_digits10 = digits10 + 3;
140 BOOST_STATIC_CONSTEXPR bool is_signed = boost::multiprecision::is_signed_number<backend_type>::value;
141 BOOST_STATIC_CONSTEXPR bool is_integer = true;
142 BOOST_STATIC_CONSTEXPR bool is_exact = true;
143 BOOST_STATIC_CONSTEXPR int radix = 2;
144 static number_type epsilon() { return 0; }
145 static number_type round_error() { return 0; }
146 BOOST_STATIC_CONSTEXPR int min_exponent = 0;
147 BOOST_STATIC_CONSTEXPR int min_exponent10 = 0;
148 BOOST_STATIC_CONSTEXPR int max_exponent = 0;
149 BOOST_STATIC_CONSTEXPR int max_exponent10 = 0;
150 BOOST_STATIC_CONSTEXPR bool has_infinity = false;
151 BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = false;
152 BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
153 BOOST_STATIC_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
154 BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false;
155 static number_type infinity() { return 0; }
156 static number_type quiet_NaN() { return 0; }
157 static number_type signaling_NaN() { return 0; }
158 static number_type denorm_min() { return 0; }
159 BOOST_STATIC_CONSTEXPR bool is_iec559 = false;
160 BOOST_STATIC_CONSTEXPR bool is_bounded = boost::multiprecision::backends::is_fixed_precision<backend_type>::value;
161 BOOST_STATIC_CONSTEXPR bool is_modulo = (boost::multiprecision::backends::is_fixed_precision<backend_type>::value && (Checked == boost::multiprecision::unchecked));
162 BOOST_STATIC_CONSTEXPR bool traps = false;
163 BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
164 BOOST_STATIC_CONSTEXPR float_round_style round_style = round_toward_zero;
165};
166
167template <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>
168const 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;
169
170#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
171
172template <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>
173BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::digits;
174template <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>
175BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::digits10;
176template <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>
177BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_digits10;
178template <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>
179BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_signed;
180template <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>
181BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_integer;
182template <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>
183BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_exact;
184template <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>
185BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::radix;
186template <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>
187BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::min_exponent;
188template <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>
189BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::min_exponent10;
190template <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>
191BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_exponent;
192template <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>
193BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::max_exponent10;
194template <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>
195BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_infinity;
196template <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>
197BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_quiet_NaN;
198template <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>
199BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_signaling_NaN;
200template <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>
201BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_denorm;
202template <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>
203BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::has_denorm_loss;
204template <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>
205BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_iec559;
206template <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>
207BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_bounded;
208template <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>
209BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::is_modulo;
210template <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>
211BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::traps;
212template <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>
213BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::tinyness_before;
214template <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>
215BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>, ExpressionTemplates> >::round_style;
216
217#endif
218#ifdef _MSC_VER
219#pragma warning(pop)
220#endif
221
222} // namespace std
223
224#endif
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