xref: /llvm-project-15.0.7/libcxx/include/limits (revision ff9e596b) 
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_LIMITS
11#define _LIBCPP_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;
47    static constexpr bool has_denorm_loss = false;
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
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#include <__config>
105#include <type_traits>
106
107#if defined(_LIBCPP_COMPILER_MSVC)
108#include "__support/win32/limits_msvc_win32.h"
109#endif // _LIBCPP_MSVCRT
110
111#if defined(__IBMCPP__)
112#include "__support/ibm/limits.h"
113#endif // __IBMCPP__
114
115#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
116#  pragma GCC system_header
117#endif
118
119_LIBCPP_PUSH_MACROS
120#include <__undef_macros>
121#include <version>
122
123
124_LIBCPP_BEGIN_NAMESPACE_STD
125
126enum float_round_style
127{
128    round_indeterminate       = -1,
129    round_toward_zero         =  0,
130    round_to_nearest          =  1,
131    round_toward_infinity     =  2,
132    round_toward_neg_infinity =  3
133};
134
135enum float_denorm_style
136{
137    denorm_indeterminate = -1,
138    denorm_absent = 0,
139    denorm_present = 1
140};
141
142template <class _Tp, bool = is_arithmetic<_Tp>::value>
143class __libcpp_numeric_limits
144{
145protected:
146    typedef _Tp type;
147
148    static _LIBCPP_CONSTEXPR const  bool is_specialized = false;
149    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return type();}
150    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return type();}
151    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return type();}
152
153    static _LIBCPP_CONSTEXPR const int  digits = 0;
154    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
155    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
156    static _LIBCPP_CONSTEXPR const bool is_signed = false;
157    static _LIBCPP_CONSTEXPR const bool is_integer = false;
158    static _LIBCPP_CONSTEXPR const bool is_exact = false;
159    static _LIBCPP_CONSTEXPR const int  radix = 0;
160    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type();}
161    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type();}
162
163    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
164    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
165    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
166    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
167
168    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
169    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
170    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
171    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
172    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
173    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type();}
174    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type();}
175    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type();}
176    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type();}
177
178    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
179    static _LIBCPP_CONSTEXPR const bool is_bounded = false;
180    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
181
182    static _LIBCPP_CONSTEXPR const bool traps = false;
183    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
184    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
185};
186
187template <class _Tp, int __digits, bool _IsSigned>
188struct __libcpp_compute_min
189{
190    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << __digits);
191};
192
193template <class _Tp, int __digits>
194struct __libcpp_compute_min<_Tp, __digits, false>
195{
196    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
197};
198
199template <class _Tp>
200class __libcpp_numeric_limits<_Tp, true>
201{
202protected:
203    typedef _Tp type;
204
205    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
206
207    static _LIBCPP_CONSTEXPR const bool is_signed = type(-1) < type(0);
208    static _LIBCPP_CONSTEXPR const int  digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
209    static _LIBCPP_CONSTEXPR const int  digits10 = digits * 3 / 10;
210    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
211    static _LIBCPP_CONSTEXPR const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
212    static _LIBCPP_CONSTEXPR const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
213    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
214    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
215    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
216
217    static _LIBCPP_CONSTEXPR const bool is_integer = true;
218    static _LIBCPP_CONSTEXPR const bool is_exact = true;
219    static _LIBCPP_CONSTEXPR const int  radix = 2;
220    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
221    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
222
223    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
224    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
225    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
226    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
227
228    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
229    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
230    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
231    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
232    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
233    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
234    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
235    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
236    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
237
238    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
239    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
240    static _LIBCPP_CONSTEXPR const bool is_modulo = !_VSTD::is_signed<_Tp>::value;
241
242#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || \
243    defined(__wasm__)
244    static _LIBCPP_CONSTEXPR const bool traps = true;
245#else
246    static _LIBCPP_CONSTEXPR const bool traps = false;
247#endif
248    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
249    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
250};
251
252template <>
253class __libcpp_numeric_limits<bool, true>
254{
255protected:
256    typedef bool type;
257
258    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
259
260    static _LIBCPP_CONSTEXPR const bool is_signed = false;
261    static _LIBCPP_CONSTEXPR const int  digits = 1;
262    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
263    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
264    static _LIBCPP_CONSTEXPR const type __min = false;
265    static _LIBCPP_CONSTEXPR const type __max = true;
266    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
267    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
268    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
269
270    static _LIBCPP_CONSTEXPR const bool is_integer = true;
271    static _LIBCPP_CONSTEXPR const bool is_exact = true;
272    static _LIBCPP_CONSTEXPR const int  radix = 2;
273    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
274    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
275
276    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
277    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
278    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
279    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
280
281    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
282    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
283    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
284    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
285    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
286    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
287    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
288    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
289    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
290
291    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
292    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
293    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
294
295    static _LIBCPP_CONSTEXPR const bool traps = false;
296    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
297    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
298};
299
300template <>
301class __libcpp_numeric_limits<float, true>
302{
303protected:
304    typedef float type;
305
306    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
307
308    static _LIBCPP_CONSTEXPR const bool is_signed = true;
309    static _LIBCPP_CONSTEXPR const int  digits = __FLT_MANT_DIG__;
310    static _LIBCPP_CONSTEXPR const int  digits10 = __FLT_DIG__;
311    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
312    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __FLT_MIN__;}
313    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __FLT_MAX__;}
314    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
315
316    static _LIBCPP_CONSTEXPR const bool is_integer = false;
317    static _LIBCPP_CONSTEXPR const bool is_exact = false;
318    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
319    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __FLT_EPSILON__;}
320    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5F;}
321
322    static _LIBCPP_CONSTEXPR const int  min_exponent = __FLT_MIN_EXP__;
323    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __FLT_MIN_10_EXP__;
324    static _LIBCPP_CONSTEXPR const int  max_exponent = __FLT_MAX_EXP__;
325    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __FLT_MAX_10_EXP__;
326
327    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
328    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
329    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
330    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
331    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
332    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_valf();}
333    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanf("");}
334    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansf("");}
335    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __FLT_DENORM_MIN__;}
336
337    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
338    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
339    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
340
341    static _LIBCPP_CONSTEXPR const bool traps = false;
342#if (defined(__arm__) || defined(__aarch64__))
343    static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
344#else
345    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
346#endif
347    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
348};
349
350template <>
351class __libcpp_numeric_limits<double, true>
352{
353protected:
354    typedef double type;
355
356    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
357
358    static _LIBCPP_CONSTEXPR const bool is_signed = true;
359    static _LIBCPP_CONSTEXPR const int  digits = __DBL_MANT_DIG__;
360    static _LIBCPP_CONSTEXPR const int  digits10 = __DBL_DIG__;
361    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
362    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __DBL_MIN__;}
363    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __DBL_MAX__;}
364    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
365
366    static _LIBCPP_CONSTEXPR const bool is_integer = false;
367    static _LIBCPP_CONSTEXPR const bool is_exact = false;
368    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
369    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __DBL_EPSILON__;}
370    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
371
372    static _LIBCPP_CONSTEXPR const int  min_exponent = __DBL_MIN_EXP__;
373    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __DBL_MIN_10_EXP__;
374    static _LIBCPP_CONSTEXPR const int  max_exponent = __DBL_MAX_EXP__;
375    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __DBL_MAX_10_EXP__;
376
377    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
378    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
379    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
380    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
381    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
382    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_val();}
383    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nan("");}
384    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nans("");}
385    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __DBL_DENORM_MIN__;}
386
387    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
388    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
389    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
390
391    static _LIBCPP_CONSTEXPR const bool traps = false;
392#if (defined(__arm__) || defined(__aarch64__))
393    static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
394#else
395    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
396#endif
397    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
398};
399
400template <>
401class __libcpp_numeric_limits<long double, true>
402{
403protected:
404    typedef long double type;
405
406    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
407
408    static _LIBCPP_CONSTEXPR const bool is_signed = true;
409    static _LIBCPP_CONSTEXPR const int  digits = __LDBL_MANT_DIG__;
410    static _LIBCPP_CONSTEXPR const int  digits10 = __LDBL_DIG__;
411    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
412    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __LDBL_MIN__;}
413    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __LDBL_MAX__;}
414    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
415
416    static _LIBCPP_CONSTEXPR const bool is_integer = false;
417    static _LIBCPP_CONSTEXPR const bool is_exact = false;
418    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
419    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __LDBL_EPSILON__;}
420    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5L;}
421
422    static _LIBCPP_CONSTEXPR const int  min_exponent = __LDBL_MIN_EXP__;
423    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __LDBL_MIN_10_EXP__;
424    static _LIBCPP_CONSTEXPR const int  max_exponent = __LDBL_MAX_EXP__;
425    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __LDBL_MAX_10_EXP__;
426
427    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
428    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
429    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
430    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
431    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
432    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_vall();}
433    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanl("");}
434    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansl("");}
435    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __LDBL_DENORM_MIN__;}
436
437#if (defined(__ppc__) || defined(__ppc64__))
438    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
439#else
440    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
441#endif
442    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
443    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
444
445    static _LIBCPP_CONSTEXPR const bool traps = false;
446#if (defined(__arm__) || defined(__aarch64__))
447    static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
448#else
449    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
450#endif
451    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
452};
453
454template <class _Tp>
455class _LIBCPP_TEMPLATE_VIS numeric_limits
456    : private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
457{
458    typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
459    typedef typename __base::type type;
460public:
461    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
462    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
463    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
464    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
465
466    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
467    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
468    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
469    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
470    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
471    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
472    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
473    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
474    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
475
476    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
477    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
478    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
479    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
480
481    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
482    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
483    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
484    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
485    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
486    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
487    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
488    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
489    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
490
491    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
492    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
493    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
494
495    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
496    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
497    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
498};
499
500template <class _Tp>
501    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
502template <class _Tp>
503    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
504template <class _Tp>
505    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
506template <class _Tp>
507    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
508template <class _Tp>
509    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
510template <class _Tp>
511    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
512template <class _Tp>
513    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
514template <class _Tp>
515    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
516template <class _Tp>
517    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
518template <class _Tp>
519    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
520template <class _Tp>
521    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
522template <class _Tp>
523    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
524template <class _Tp>
525    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
526template <class _Tp>
527    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
528template <class _Tp>
529    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
530template <class _Tp>
531    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
532template <class _Tp>
533    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
534template <class _Tp>
535    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
536template <class _Tp>
537    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
538template <class _Tp>
539    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
540template <class _Tp>
541    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
542template <class _Tp>
543    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
544template <class _Tp>
545    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
546
547template <class _Tp>
548class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp>
549    : private numeric_limits<_Tp>
550{
551    typedef numeric_limits<_Tp> __base;
552    typedef _Tp type;
553public:
554    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
555    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
556    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
557    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
558
559    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
560    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
561    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
562    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
563    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
564    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
565    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
566    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
567    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
568
569    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
570    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
571    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
572    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
573
574    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
575    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
576    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
577    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
578    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
579    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
580    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
581    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
582    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
583
584    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
585    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
586    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
587
588    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
589    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
590    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
591};
592
593template <class _Tp>
594    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_specialized;
595template <class _Tp>
596    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits;
597template <class _Tp>
598    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits10;
599template <class _Tp>
600    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_digits10;
601template <class _Tp>
602    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_signed;
603template <class _Tp>
604    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_integer;
605template <class _Tp>
606    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_exact;
607template <class _Tp>
608    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::radix;
609template <class _Tp>
610    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent;
611template <class _Tp>
612    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent10;
613template <class _Tp>
614    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent;
615template <class _Tp>
616    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent10;
617template <class _Tp>
618    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_infinity;
619template <class _Tp>
620    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_quiet_NaN;
621template <class _Tp>
622    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_signaling_NaN;
623template <class _Tp>
624    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const _Tp>::has_denorm;
625template <class _Tp>
626    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_denorm_loss;
627template <class _Tp>
628    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_iec559;
629template <class _Tp>
630    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_bounded;
631template <class _Tp>
632    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_modulo;
633template <class _Tp>
634    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::traps;
635template <class _Tp>
636    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::tinyness_before;
637template <class _Tp>
638    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const _Tp>::round_style;
639
640template <class _Tp>
641class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp>
642    : private numeric_limits<_Tp>
643{
644    typedef numeric_limits<_Tp> __base;
645    typedef _Tp type;
646public:
647    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
648    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
649    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
650    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
651
652    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
653    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
654    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
655    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
656    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
657    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
658    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
659    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
660    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
661
662    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
663    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
664    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
665    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
666
667    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
668    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
669    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
670    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
671    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
672    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
673    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
674    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
675    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
676
677    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
678    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
679    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
680
681    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
682    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
683    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
684};
685
686template <class _Tp>
687    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_specialized;
688template <class _Tp>
689    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits;
690template <class _Tp>
691    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits10;
692template <class _Tp>
693    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_digits10;
694template <class _Tp>
695    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_signed;
696template <class _Tp>
697    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_integer;
698template <class _Tp>
699    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_exact;
700template <class _Tp>
701    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::radix;
702template <class _Tp>
703    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent;
704template <class _Tp>
705    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent10;
706template <class _Tp>
707    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent;
708template <class _Tp>
709    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent10;
710template <class _Tp>
711    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_infinity;
712template <class _Tp>
713    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
714template <class _Tp>
715    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
716template <class _Tp>
717    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
718template <class _Tp>
719    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_denorm_loss;
720template <class _Tp>
721    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_iec559;
722template <class _Tp>
723    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_bounded;
724template <class _Tp>
725    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_modulo;
726template <class _Tp>
727    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::traps;
728template <class _Tp>
729    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::tinyness_before;
730template <class _Tp>
731    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<volatile _Tp>::round_style;
732
733template <class _Tp>
734class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp>
735    : private numeric_limits<_Tp>
736{
737    typedef numeric_limits<_Tp> __base;
738    typedef _Tp type;
739public:
740    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
741    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
742    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
743    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
744
745    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
746    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
747    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
748    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
749    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
750    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
751    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
752    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
753    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
754
755    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
756    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
757    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
758    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
759
760    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
761    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
762    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
763    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
764    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
765    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
766    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
767    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
768    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
769
770    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
771    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
772    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
773
774    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
775    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
776    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
777};
778
779template <class _Tp>
780    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
781template <class _Tp>
782    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
783template <class _Tp>
784    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
785template <class _Tp>
786    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_digits10;
787template <class _Tp>
788    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
789template <class _Tp>
790    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
791template <class _Tp>
792    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
793template <class _Tp>
794    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
795template <class _Tp>
796    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
797template <class _Tp>
798    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
799template <class _Tp>
800    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
801template <class _Tp>
802    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
803template <class _Tp>
804    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
805template <class _Tp>
806    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
807template <class _Tp>
808    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
809template <class _Tp>
810    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
811template <class _Tp>
812    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
813template <class _Tp>
814    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
815template <class _Tp>
816    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
817template <class _Tp>
818    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
819template <class _Tp>
820    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
821template <class _Tp>
822    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
823template <class _Tp>
824    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
825
826_LIBCPP_END_NAMESPACE_STD
827
828_LIBCPP_POP_MACROS
829
830#endif // _LIBCPP_LIMITS
831