xref: /freebsd/contrib/llvm-project/libcxx/include/__cxx03/limits (revision 700637cbb5e582861067a11aaca4d053546871d2)
1// -*- C++ -*-
2//===----------------------------------------------------------------------===//
3//
4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5// See https://llvm.org/LICENSE.txt for license information.
6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7//
8//===----------------------------------------------------------------------===//
9
10#ifndef _LIBCPP___CXX03_LIMITS
11#define _LIBCPP___CXX03_LIMITS
12
13/*
14    limits synopsis
15
16namespace std
17{
18
19template<class T>
20class numeric_limits
21{
22public:
23    static constexpr bool is_specialized = false;
24    static constexpr T min() noexcept;
25    static constexpr T max() noexcept;
26    static constexpr T lowest() noexcept;
27
28    static constexpr int  digits = 0;
29    static constexpr int  digits10 = 0;
30    static constexpr int  max_digits10 = 0;
31    static constexpr bool is_signed = false;
32    static constexpr bool is_integer = false;
33    static constexpr bool is_exact = false;
34    static constexpr int  radix = 0;
35    static constexpr T epsilon() noexcept;
36    static constexpr T round_error() noexcept;
37
38    static constexpr int  min_exponent = 0;
39    static constexpr int  min_exponent10 = 0;
40    static constexpr int  max_exponent = 0;
41    static constexpr int  max_exponent10 = 0;
42
43    static constexpr bool has_infinity = false;
44    static constexpr bool has_quiet_NaN = false;
45    static constexpr bool has_signaling_NaN = false;
46    static constexpr float_denorm_style has_denorm = denorm_absent; // deprecated in C++23
47    static constexpr bool has_denorm_loss = false;                  // deprecated in C++23
48    static constexpr T infinity() noexcept;
49    static constexpr T quiet_NaN() noexcept;
50    static constexpr T signaling_NaN() noexcept;
51    static constexpr T denorm_min() noexcept;
52
53    static constexpr bool is_iec559 = false;
54    static constexpr bool is_bounded = false;
55    static constexpr bool is_modulo = false;
56
57    static constexpr bool traps = false;
58    static constexpr bool tinyness_before = false;
59    static constexpr float_round_style round_style = round_toward_zero;
60};
61
62enum float_round_style
63{
64    round_indeterminate       = -1,
65    round_toward_zero         =  0,
66    round_to_nearest          =  1,
67    round_toward_infinity     =  2,
68    round_toward_neg_infinity =  3
69};
70
71enum float_denorm_style // deprecated in C++23
72{
73    denorm_indeterminate = -1,
74    denorm_absent = 0,
75    denorm_present = 1
76};
77
78template<> class numeric_limits<cv bool>;
79
80template<> class numeric_limits<cv char>;
81template<> class numeric_limits<cv signed char>;
82template<> class numeric_limits<cv unsigned char>;
83template<> class numeric_limits<cv wchar_t>;
84template<> class numeric_limits<cv char8_t>; // C++20
85template<> class numeric_limits<cv char16_t>;
86template<> class numeric_limits<cv char32_t>;
87
88template<> class numeric_limits<cv short>;
89template<> class numeric_limits<cv int>;
90template<> class numeric_limits<cv long>;
91template<> class numeric_limits<cv long long>;
92template<> class numeric_limits<cv unsigned short>;
93template<> class numeric_limits<cv unsigned int>;
94template<> class numeric_limits<cv unsigned long>;
95template<> class numeric_limits<cv unsigned long long>;
96
97template<> class numeric_limits<cv float>;
98template<> class numeric_limits<cv double>;
99template<> class numeric_limits<cv long double>;
100
101}  // std
102
103*/
104
105#include <__cxx03/__config>
106#include <__cxx03/__type_traits/is_arithmetic.h>
107#include <__cxx03/__type_traits/is_signed.h>
108#include <__cxx03/__type_traits/remove_cv.h>
109
110#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
111#  pragma GCC system_header
112#endif
113
114_LIBCPP_PUSH_MACROS
115#include <__cxx03/__undef_macros>
116#include <__cxx03/version>
117
118_LIBCPP_BEGIN_NAMESPACE_STD
119
120enum float_round_style {
121  round_indeterminate       = -1,
122  round_toward_zero         = 0,
123  round_to_nearest          = 1,
124  round_toward_infinity     = 2,
125  round_toward_neg_infinity = 3
126};
127
128enum float_denorm_style { denorm_indeterminate = -1, denorm_absent = 0, denorm_present = 1 };
129
130template <class _Tp, bool = is_arithmetic<_Tp>::value>
131class __libcpp_numeric_limits {
132protected:
133  typedef _Tp type;
134
135  static const bool is_specialized = false;
136  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return type(); }
137  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return type(); }
138  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return type(); }
139
140  static const int digits       = 0;
141  static const int digits10     = 0;
142  static const int max_digits10 = 0;
143  static const bool is_signed   = false;
144  static const bool is_integer  = false;
145  static const bool is_exact    = false;
146  static const int radix        = 0;
147  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return type(); }
148  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return type(); }
149
150  static const int min_exponent   = 0;
151  static const int min_exponent10 = 0;
152  static const int max_exponent   = 0;
153  static const int max_exponent10 = 0;
154
155  static const bool has_infinity             = false;
156  static const bool has_quiet_NaN            = false;
157  static const bool has_signaling_NaN        = false;
158  static const float_denorm_style has_denorm = denorm_absent;
159  static const bool has_denorm_loss          = false;
160  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return type(); }
161  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return type(); }
162  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return type(); }
163  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return type(); }
164
165  static const bool is_iec559  = false;
166  static const bool is_bounded = false;
167  static const bool is_modulo  = false;
168
169  static const bool traps                    = false;
170  static const bool tinyness_before          = false;
171  static const float_round_style round_style = round_toward_zero;
172};
173
174template <class _Tp, int __digits, bool _IsSigned>
175struct __libcpp_compute_min {
176  static const _Tp value = _Tp(_Tp(1) << __digits);
177};
178
179template <class _Tp, int __digits>
180struct __libcpp_compute_min<_Tp, __digits, false> {
181  static const _Tp value = _Tp(0);
182};
183
184template <class _Tp>
185class __libcpp_numeric_limits<_Tp, true> {
186protected:
187  typedef _Tp type;
188
189  static const bool is_specialized = true;
190
191  static const bool is_signed   = type(-1) < type(0);
192  static const int digits       = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
193  static const int digits10     = digits * 3 / 10;
194  static const int max_digits10 = 0;
195  static const type __min       = __libcpp_compute_min<type, digits, is_signed>::value;
196  static const type __max       = is_signed ? type(type(~0) ^ __min) : type(~0);
197  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __min; }
198  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __max; }
199  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return min(); }
200
201  static const bool is_integer = true;
202  static const bool is_exact   = true;
203  static const int radix       = 2;
204  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return type(0); }
205  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return type(0); }
206
207  static const int min_exponent   = 0;
208  static const int min_exponent10 = 0;
209  static const int max_exponent   = 0;
210  static const int max_exponent10 = 0;
211
212  static const bool has_infinity             = false;
213  static const bool has_quiet_NaN            = false;
214  static const bool has_signaling_NaN        = false;
215  static const float_denorm_style has_denorm = denorm_absent;
216  static const bool has_denorm_loss          = false;
217  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return type(0); }
218  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return type(0); }
219  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return type(0); }
220  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return type(0); }
221
222  static const bool is_iec559  = false;
223  static const bool is_bounded = true;
224  static const bool is_modulo  = !std::is_signed<_Tp>::value;
225
226#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || defined(__wasm__)
227  static const bool traps = true;
228#else
229  static const bool traps = false;
230#endif
231  static const bool tinyness_before          = false;
232  static const float_round_style round_style = round_toward_zero;
233};
234
235template <>
236class __libcpp_numeric_limits<bool, true> {
237protected:
238  typedef bool type;
239
240  static const bool is_specialized = true;
241
242  static const bool is_signed   = false;
243  static const int digits       = 1;
244  static const int digits10     = 0;
245  static const int max_digits10 = 0;
246  static const type __min       = false;
247  static const type __max       = true;
248  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __min; }
249  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __max; }
250  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return min(); }
251
252  static const bool is_integer = true;
253  static const bool is_exact   = true;
254  static const int radix       = 2;
255  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return type(0); }
256  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return type(0); }
257
258  static const int min_exponent   = 0;
259  static const int min_exponent10 = 0;
260  static const int max_exponent   = 0;
261  static const int max_exponent10 = 0;
262
263  static const bool has_infinity             = false;
264  static const bool has_quiet_NaN            = false;
265  static const bool has_signaling_NaN        = false;
266  static const float_denorm_style has_denorm = denorm_absent;
267  static const bool has_denorm_loss          = false;
268  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return type(0); }
269  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return type(0); }
270  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return type(0); }
271  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return type(0); }
272
273  static const bool is_iec559  = false;
274  static const bool is_bounded = true;
275  static const bool is_modulo  = false;
276
277  static const bool traps                    = false;
278  static const bool tinyness_before          = false;
279  static const float_round_style round_style = round_toward_zero;
280};
281
282template <>
283class __libcpp_numeric_limits<float, true> {
284protected:
285  typedef float type;
286
287  static const bool is_specialized = true;
288
289  static const bool is_signed   = true;
290  static const int digits       = __FLT_MANT_DIG__;
291  static const int digits10     = __FLT_DIG__;
292  static const int max_digits10 = 2 + (digits * 30103l) / 100000l;
293  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __FLT_MIN__; }
294  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __FLT_MAX__; }
295  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return -max(); }
296
297  static const bool is_integer = false;
298  static const bool is_exact   = false;
299  static const int radix       = __FLT_RADIX__;
300  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return __FLT_EPSILON__; }
301  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return 0.5F; }
302
303  static const int min_exponent   = __FLT_MIN_EXP__;
304  static const int min_exponent10 = __FLT_MIN_10_EXP__;
305  static const int max_exponent   = __FLT_MAX_EXP__;
306  static const int max_exponent10 = __FLT_MAX_10_EXP__;
307
308  static const bool has_infinity             = true;
309  static const bool has_quiet_NaN            = true;
310  static const bool has_signaling_NaN        = true;
311  static const float_denorm_style has_denorm = denorm_present;
312  static const bool has_denorm_loss          = false;
313  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return __builtin_huge_valf(); }
314  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return __builtin_nanf(""); }
315  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return __builtin_nansf(""); }
316  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return __FLT_DENORM_MIN__; }
317
318  static const bool is_iec559  = true;
319  static const bool is_bounded = true;
320  static const bool is_modulo  = false;
321
322  static const bool traps = false;
323#if (defined(__arm__) || defined(__aarch64__))
324  static const bool tinyness_before = true;
325#else
326  static const bool tinyness_before = false;
327#endif
328  static const float_round_style round_style = round_to_nearest;
329};
330
331template <>
332class __libcpp_numeric_limits<double, true> {
333protected:
334  typedef double type;
335
336  static const bool is_specialized = true;
337
338  static const bool is_signed   = true;
339  static const int digits       = __DBL_MANT_DIG__;
340  static const int digits10     = __DBL_DIG__;
341  static const int max_digits10 = 2 + (digits * 30103l) / 100000l;
342  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __DBL_MIN__; }
343  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __DBL_MAX__; }
344  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return -max(); }
345
346  static const bool is_integer = false;
347  static const bool is_exact   = false;
348  static const int radix       = __FLT_RADIX__;
349  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return __DBL_EPSILON__; }
350  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return 0.5; }
351
352  static const int min_exponent   = __DBL_MIN_EXP__;
353  static const int min_exponent10 = __DBL_MIN_10_EXP__;
354  static const int max_exponent   = __DBL_MAX_EXP__;
355  static const int max_exponent10 = __DBL_MAX_10_EXP__;
356
357  static const bool has_infinity             = true;
358  static const bool has_quiet_NaN            = true;
359  static const bool has_signaling_NaN        = true;
360  static const float_denorm_style has_denorm = denorm_present;
361  static const bool has_denorm_loss          = false;
362  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return __builtin_huge_val(); }
363  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return __builtin_nan(""); }
364  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return __builtin_nans(""); }
365  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return __DBL_DENORM_MIN__; }
366
367  static const bool is_iec559  = true;
368  static const bool is_bounded = true;
369  static const bool is_modulo  = false;
370
371  static const bool traps = false;
372#if (defined(__arm__) || defined(__aarch64__))
373  static const bool tinyness_before = true;
374#else
375  static const bool tinyness_before = false;
376#endif
377  static const float_round_style round_style = round_to_nearest;
378};
379
380template <>
381class __libcpp_numeric_limits<long double, true> {
382protected:
383  typedef long double type;
384
385  static const bool is_specialized = true;
386
387  static const bool is_signed   = true;
388  static const int digits       = __LDBL_MANT_DIG__;
389  static const int digits10     = __LDBL_DIG__;
390  static const int max_digits10 = 2 + (digits * 30103l) / 100000l;
391  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __LDBL_MIN__; }
392  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __LDBL_MAX__; }
393  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return -max(); }
394
395  static const bool is_integer = false;
396  static const bool is_exact   = false;
397  static const int radix       = __FLT_RADIX__;
398  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return __LDBL_EPSILON__; }
399  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return 0.5L; }
400
401  static const int min_exponent   = __LDBL_MIN_EXP__;
402  static const int min_exponent10 = __LDBL_MIN_10_EXP__;
403  static const int max_exponent   = __LDBL_MAX_EXP__;
404  static const int max_exponent10 = __LDBL_MAX_10_EXP__;
405
406  static const bool has_infinity             = true;
407  static const bool has_quiet_NaN            = true;
408  static const bool has_signaling_NaN        = true;
409  static const float_denorm_style has_denorm = denorm_present;
410  static const bool has_denorm_loss          = false;
411  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return __builtin_huge_vall(); }
412  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return __builtin_nanl(""); }
413  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return __builtin_nansl(""); }
414  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return __LDBL_DENORM_MIN__; }
415
416#if defined(__powerpc__) && defined(__LONG_DOUBLE_IBM128__)
417  static const bool is_iec559 = false;
418#else
419  static const bool is_iec559 = true;
420#endif
421  static const bool is_bounded = true;
422  static const bool is_modulo  = false;
423
424  static const bool traps = false;
425#if (defined(__arm__) || defined(__aarch64__))
426  static const bool tinyness_before = true;
427#else
428  static const bool tinyness_before = false;
429#endif
430  static const float_round_style round_style = round_to_nearest;
431};
432
433template <class _Tp>
434class _LIBCPP_TEMPLATE_VIS numeric_limits : private __libcpp_numeric_limits<_Tp> {
435  typedef __libcpp_numeric_limits<_Tp> __base;
436  typedef typename __base::type type;
437
438public:
439  static const bool is_specialized = __base::is_specialized;
440  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type min() _NOEXCEPT { return __base::min(); }
441  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type max() _NOEXCEPT { return __base::max(); }
442  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type lowest() _NOEXCEPT { return __base::lowest(); }
443
444  static const int digits       = __base::digits;
445  static const int digits10     = __base::digits10;
446  static const int max_digits10 = __base::max_digits10;
447  static const bool is_signed   = __base::is_signed;
448  static const bool is_integer  = __base::is_integer;
449  static const bool is_exact    = __base::is_exact;
450  static const int radix        = __base::radix;
451  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type epsilon() _NOEXCEPT { return __base::epsilon(); }
452  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type round_error() _NOEXCEPT { return __base::round_error(); }
453
454  static const int min_exponent   = __base::min_exponent;
455  static const int min_exponent10 = __base::min_exponent10;
456  static const int max_exponent   = __base::max_exponent;
457  static const int max_exponent10 = __base::max_exponent10;
458
459  static const bool has_infinity      = __base::has_infinity;
460  static const bool has_quiet_NaN     = __base::has_quiet_NaN;
461  static const bool has_signaling_NaN = __base::has_signaling_NaN;
462  _LIBCPP_SUPPRESS_DEPRECATED_PUSH
463  static const float_denorm_style has_denorm = __base::has_denorm;
464  static const bool has_denorm_loss          = __base::has_denorm_loss;
465  _LIBCPP_SUPPRESS_DEPRECATED_POP
466  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type infinity() _NOEXCEPT { return __base::infinity(); }
467  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type quiet_NaN() _NOEXCEPT { return __base::quiet_NaN(); }
468  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type signaling_NaN() _NOEXCEPT { return __base::signaling_NaN(); }
469  _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static type denorm_min() _NOEXCEPT { return __base::denorm_min(); }
470
471  static const bool is_iec559  = __base::is_iec559;
472  static const bool is_bounded = __base::is_bounded;
473  static const bool is_modulo  = __base::is_modulo;
474
475  static const bool traps                    = __base::traps;
476  static const bool tinyness_before          = __base::tinyness_before;
477  static const float_round_style round_style = __base::round_style;
478};
479
480template <class _Tp>
481const bool numeric_limits<_Tp>::is_specialized;
482template <class _Tp>
483const int numeric_limits<_Tp>::digits;
484template <class _Tp>
485const int numeric_limits<_Tp>::digits10;
486template <class _Tp>
487const int numeric_limits<_Tp>::max_digits10;
488template <class _Tp>
489const bool numeric_limits<_Tp>::is_signed;
490template <class _Tp>
491const bool numeric_limits<_Tp>::is_integer;
492template <class _Tp>
493const bool numeric_limits<_Tp>::is_exact;
494template <class _Tp>
495const int numeric_limits<_Tp>::radix;
496template <class _Tp>
497const int numeric_limits<_Tp>::min_exponent;
498template <class _Tp>
499const int numeric_limits<_Tp>::min_exponent10;
500template <class _Tp>
501const int numeric_limits<_Tp>::max_exponent;
502template <class _Tp>
503const int numeric_limits<_Tp>::max_exponent10;
504template <class _Tp>
505const bool numeric_limits<_Tp>::has_infinity;
506template <class _Tp>
507const bool numeric_limits<_Tp>::has_quiet_NaN;
508template <class _Tp>
509const bool numeric_limits<_Tp>::has_signaling_NaN;
510template <class _Tp>
511const float_denorm_style numeric_limits<_Tp>::has_denorm;
512template <class _Tp>
513const bool numeric_limits<_Tp>::has_denorm_loss;
514template <class _Tp>
515const bool numeric_limits<_Tp>::is_iec559;
516template <class _Tp>
517const bool numeric_limits<_Tp>::is_bounded;
518template <class _Tp>
519const bool numeric_limits<_Tp>::is_modulo;
520template <class _Tp>
521const bool numeric_limits<_Tp>::traps;
522template <class _Tp>
523const bool numeric_limits<_Tp>::tinyness_before;
524template <class _Tp>
525const float_round_style numeric_limits<_Tp>::round_style;
526
527template <class _Tp>
528class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp> : public numeric_limits<_Tp> {};
529
530template <class _Tp>
531class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp> : public numeric_limits<_Tp> {};
532
533template <class _Tp>
534class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp> : public numeric_limits<_Tp> {};
535
536_LIBCPP_END_NAMESPACE_STD
537
538_LIBCPP_POP_MACROS
539
540#if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES)
541#  include <__cxx03/type_traits>
542#endif
543
544#endif // _LIBCPP___CXX03_LIMITS
545