1// -*- C++ -*-
2//===---------------------------- limits ----------------------------------===//
3//
4//                     The LLVM Compiler Infrastructure
5//
6// This file is dual licensed under the MIT and the University of Illinois Open
7// Source Licenses. See LICENSE.TXT for details.
8//
9//===----------------------------------------------------------------------===//
10
11#ifndef _LIBCPP_LIMITS
12#define _LIBCPP_LIMITS
13
14/*
15    limits synopsis
16
17namespace std
18{
19
20template<class T>
21class numeric_limits
22{
23public:
24    static constexpr bool is_specialized = false;
25    static constexpr T min() noexcept;
26    static constexpr T max() noexcept;
27    static constexpr T lowest() noexcept;
28
29    static constexpr int  digits = 0;
30    static constexpr int  digits10 = 0;
31    static constexpr int  max_digits10 = 0;
32    static constexpr bool is_signed = false;
33    static constexpr bool is_integer = false;
34    static constexpr bool is_exact = false;
35    static constexpr int  radix = 0;
36    static constexpr T epsilon() noexcept;
37    static constexpr T round_error() noexcept;
38
39    static constexpr int  min_exponent = 0;
40    static constexpr int  min_exponent10 = 0;
41    static constexpr int  max_exponent = 0;
42    static constexpr int  max_exponent10 = 0;
43
44    static constexpr bool has_infinity = false;
45    static constexpr bool has_quiet_NaN = false;
46    static constexpr bool has_signaling_NaN = false;
47    static constexpr float_denorm_style has_denorm = denorm_absent;
48    static constexpr bool has_denorm_loss = false;
49    static constexpr T infinity() noexcept;
50    static constexpr T quiet_NaN() noexcept;
51    static constexpr T signaling_NaN() noexcept;
52    static constexpr T denorm_min() noexcept;
53
54    static constexpr bool is_iec559 = false;
55    static constexpr bool is_bounded = false;
56    static constexpr bool is_modulo = false;
57
58    static constexpr bool traps = false;
59    static constexpr bool tinyness_before = false;
60    static constexpr float_round_style round_style = round_toward_zero;
61};
62
63enum float_round_style
64{
65    round_indeterminate       = -1,
66    round_toward_zero         =  0,
67    round_to_nearest          =  1,
68    round_toward_infinity     =  2,
69    round_toward_neg_infinity =  3
70};
71
72enum float_denorm_style
73{
74    denorm_indeterminate = -1,
75    denorm_absent = 0,
76    denorm_present = 1
77};
78
79template<> class numeric_limits<cv bool>;
80
81template<> class numeric_limits<cv char>;
82template<> class numeric_limits<cv signed char>;
83template<> class numeric_limits<cv unsigned char>;
84template<> class numeric_limits<cv wchar_t>;
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
122
123_LIBCPP_BEGIN_NAMESPACE_STD
124
125enum float_round_style
126{
127    round_indeterminate       = -1,
128    round_toward_zero         =  0,
129    round_to_nearest          =  1,
130    round_toward_infinity     =  2,
131    round_toward_neg_infinity =  3
132};
133
134enum float_denorm_style
135{
136    denorm_indeterminate = -1,
137    denorm_absent = 0,
138    denorm_present = 1
139};
140
141template <class _Tp, bool = is_arithmetic<_Tp>::value>
142class __libcpp_numeric_limits
143{
144protected:
145    typedef _Tp type;
146
147    static _LIBCPP_CONSTEXPR const  bool is_specialized = false;
148    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return type();}
149    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return type();}
150    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return type();}
151
152    static _LIBCPP_CONSTEXPR const int  digits = 0;
153    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
154    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
155    static _LIBCPP_CONSTEXPR const bool is_signed = false;
156    static _LIBCPP_CONSTEXPR const bool is_integer = false;
157    static _LIBCPP_CONSTEXPR const bool is_exact = false;
158    static _LIBCPP_CONSTEXPR const int  radix = 0;
159    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type();}
160    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type();}
161
162    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
163    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
164    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
165    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
166
167    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
168    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
169    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
170    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
171    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
172    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type();}
173    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type();}
174    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type();}
175    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type();}
176
177    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
178    static _LIBCPP_CONSTEXPR const bool is_bounded = false;
179    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
180
181    static _LIBCPP_CONSTEXPR const bool traps = false;
182    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
183    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
184};
185
186template <class _Tp, int __digits, bool _IsSigned>
187struct __libcpp_compute_min
188{
189    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << __digits);
190};
191
192template <class _Tp, int __digits>
193struct __libcpp_compute_min<_Tp, __digits, false>
194{
195    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
196};
197
198template <class _Tp>
199class __libcpp_numeric_limits<_Tp, true>
200{
201protected:
202    typedef _Tp type;
203
204    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
205
206    static _LIBCPP_CONSTEXPR const bool is_signed = type(-1) < type(0);
207    static _LIBCPP_CONSTEXPR const int  digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
208    static _LIBCPP_CONSTEXPR const int  digits10 = digits * 3 / 10;
209    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
210    static _LIBCPP_CONSTEXPR const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
211    static _LIBCPP_CONSTEXPR const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
212    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
213    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
214    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
215
216    static _LIBCPP_CONSTEXPR const bool is_integer = true;
217    static _LIBCPP_CONSTEXPR const bool is_exact = true;
218    static _LIBCPP_CONSTEXPR const int  radix = 2;
219    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
220    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
221
222    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
223    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
224    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
225    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
226
227    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
228    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
229    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
230    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
231    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
232    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
233    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
234    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
235    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
236
237    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
238    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
239    static _LIBCPP_CONSTEXPR const bool is_modulo = !_VSTD::is_signed<_Tp>::value;
240
241#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || \
242    defined(__wasm__)
243    static _LIBCPP_CONSTEXPR const bool traps = true;
244#else
245    static _LIBCPP_CONSTEXPR const bool traps = false;
246#endif
247    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
248    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
249};
250
251template <>
252class __libcpp_numeric_limits<bool, true>
253{
254protected:
255    typedef bool type;
256
257    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
258
259    static _LIBCPP_CONSTEXPR const bool is_signed = false;
260    static _LIBCPP_CONSTEXPR const int  digits = 1;
261    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
262    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
263    static _LIBCPP_CONSTEXPR const type __min = false;
264    static _LIBCPP_CONSTEXPR const type __max = true;
265    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
266    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
267    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
268
269    static _LIBCPP_CONSTEXPR const bool is_integer = true;
270    static _LIBCPP_CONSTEXPR const bool is_exact = true;
271    static _LIBCPP_CONSTEXPR const int  radix = 2;
272    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
273    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
274
275    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
276    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
277    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
278    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
279
280    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
281    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
282    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
283    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
284    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
285    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
286    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
287    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
288    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
289
290    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
291    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
292    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
293
294    static _LIBCPP_CONSTEXPR const bool traps = false;
295    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
296    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
297};
298
299template <>
300class __libcpp_numeric_limits<float, true>
301{
302protected:
303    typedef float type;
304
305    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
306
307    static _LIBCPP_CONSTEXPR const bool is_signed = true;
308    static _LIBCPP_CONSTEXPR const int  digits = __FLT_MANT_DIG__;
309    static _LIBCPP_CONSTEXPR const int  digits10 = __FLT_DIG__;
310    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
311    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __FLT_MIN__;}
312    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __FLT_MAX__;}
313    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
314
315    static _LIBCPP_CONSTEXPR const bool is_integer = false;
316    static _LIBCPP_CONSTEXPR const bool is_exact = false;
317    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
318    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __FLT_EPSILON__;}
319    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5F;}
320
321    static _LIBCPP_CONSTEXPR const int  min_exponent = __FLT_MIN_EXP__;
322    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __FLT_MIN_10_EXP__;
323    static _LIBCPP_CONSTEXPR const int  max_exponent = __FLT_MAX_EXP__;
324    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __FLT_MAX_10_EXP__;
325
326    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
327    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
328    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
329    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
330    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
331    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_valf();}
332    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanf("");}
333    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansf("");}
334    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __FLT_DENORM_MIN__;}
335
336    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
337    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
338    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
339
340    static _LIBCPP_CONSTEXPR const bool traps = false;
341    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
342    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
343};
344
345template <>
346class __libcpp_numeric_limits<double, true>
347{
348protected:
349    typedef double type;
350
351    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
352
353    static _LIBCPP_CONSTEXPR const bool is_signed = true;
354    static _LIBCPP_CONSTEXPR const int  digits = __DBL_MANT_DIG__;
355    static _LIBCPP_CONSTEXPR const int  digits10 = __DBL_DIG__;
356    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
357    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __DBL_MIN__;}
358    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __DBL_MAX__;}
359    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
360
361    static _LIBCPP_CONSTEXPR const bool is_integer = false;
362    static _LIBCPP_CONSTEXPR const bool is_exact = false;
363    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
364    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __DBL_EPSILON__;}
365    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
366
367    static _LIBCPP_CONSTEXPR const int  min_exponent = __DBL_MIN_EXP__;
368    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __DBL_MIN_10_EXP__;
369    static _LIBCPP_CONSTEXPR const int  max_exponent = __DBL_MAX_EXP__;
370    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __DBL_MAX_10_EXP__;
371
372    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
373    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
374    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
375    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
376    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
377    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_val();}
378    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nan("");}
379    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nans("");}
380    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __DBL_DENORM_MIN__;}
381
382    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
383    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
384    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
385
386    static _LIBCPP_CONSTEXPR const bool traps = false;
387    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
388    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
389};
390
391template <>
392class __libcpp_numeric_limits<long double, true>
393{
394protected:
395    typedef long double type;
396
397    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
398
399    static _LIBCPP_CONSTEXPR const bool is_signed = true;
400    static _LIBCPP_CONSTEXPR const int  digits = __LDBL_MANT_DIG__;
401    static _LIBCPP_CONSTEXPR const int  digits10 = __LDBL_DIG__;
402    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103l)/100000l;
403    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __LDBL_MIN__;}
404    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __LDBL_MAX__;}
405    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
406
407    static _LIBCPP_CONSTEXPR const bool is_integer = false;
408    static _LIBCPP_CONSTEXPR const bool is_exact = false;
409    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
410    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __LDBL_EPSILON__;}
411    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
412
413    static _LIBCPP_CONSTEXPR const int  min_exponent = __LDBL_MIN_EXP__;
414    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __LDBL_MIN_10_EXP__;
415    static _LIBCPP_CONSTEXPR const int  max_exponent = __LDBL_MAX_EXP__;
416    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __LDBL_MAX_10_EXP__;
417
418    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
419    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
420    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
421    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
422    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
423    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_vall();}
424    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanl("");}
425    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansl("");}
426    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __LDBL_DENORM_MIN__;}
427
428#if (defined(__ppc__) || defined(__ppc64__))
429    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
430#else
431    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
432#endif
433    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
434    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
435
436    static _LIBCPP_CONSTEXPR const bool traps = false;
437    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
438    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
439};
440
441template <class _Tp>
442class _LIBCPP_TEMPLATE_VIS numeric_limits
443    : private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
444{
445    typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
446    typedef typename __base::type type;
447public:
448    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
449    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
450    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
451    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
452
453    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
454    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
455    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
456    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
457    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
458    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
459    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
460    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
461    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
462
463    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
464    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
465    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
466    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
467
468    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
469    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
470    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
471    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
472    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
473    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
474    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
475    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
476    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
477
478    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
479    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
480    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
481
482    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
483    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
484    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
485};
486
487template <class _Tp>
488    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
489template <class _Tp>
490    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
491template <class _Tp>
492    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
493template <class _Tp>
494    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
495template <class _Tp>
496    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
497template <class _Tp>
498    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
499template <class _Tp>
500    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
501template <class _Tp>
502    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
503template <class _Tp>
504    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
505template <class _Tp>
506    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
507template <class _Tp>
508    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
509template <class _Tp>
510    _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
511template <class _Tp>
512    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
513template <class _Tp>
514    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
515template <class _Tp>
516    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
517template <class _Tp>
518    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
519template <class _Tp>
520    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
521template <class _Tp>
522    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
523template <class _Tp>
524    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
525template <class _Tp>
526    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
527template <class _Tp>
528    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
529template <class _Tp>
530    _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
531template <class _Tp>
532    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
533
534template <class _Tp>
535class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp>
536    : private numeric_limits<_Tp>
537{
538    typedef numeric_limits<_Tp> __base;
539    typedef _Tp type;
540public:
541    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
542    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
543    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
544    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
545
546    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
547    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
548    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
549    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
550    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
551    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
552    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
553    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
554    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
555
556    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
557    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
558    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
559    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
560
561    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
562    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
563    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
564    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
565    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
566    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
567    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
568    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
569    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
570
571    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
572    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
573    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
574
575    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
576    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
577    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
578};
579
580template <class _Tp>
581    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_specialized;
582template <class _Tp>
583    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits;
584template <class _Tp>
585    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits10;
586template <class _Tp>
587    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_digits10;
588template <class _Tp>
589    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_signed;
590template <class _Tp>
591    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_integer;
592template <class _Tp>
593    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_exact;
594template <class _Tp>
595    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::radix;
596template <class _Tp>
597    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent;
598template <class _Tp>
599    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent10;
600template <class _Tp>
601    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent;
602template <class _Tp>
603    _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent10;
604template <class _Tp>
605    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_infinity;
606template <class _Tp>
607    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_quiet_NaN;
608template <class _Tp>
609    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_signaling_NaN;
610template <class _Tp>
611    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const _Tp>::has_denorm;
612template <class _Tp>
613    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_denorm_loss;
614template <class _Tp>
615    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_iec559;
616template <class _Tp>
617    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_bounded;
618template <class _Tp>
619    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_modulo;
620template <class _Tp>
621    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::traps;
622template <class _Tp>
623    _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::tinyness_before;
624template <class _Tp>
625    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const _Tp>::round_style;
626
627template <class _Tp>
628class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp>
629    : private numeric_limits<_Tp>
630{
631    typedef numeric_limits<_Tp> __base;
632    typedef _Tp type;
633public:
634    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
635    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
636    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
637    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
638
639    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
640    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
641    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
642    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
643    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
644    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
645    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
646    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
647    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
648
649    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
650    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
651    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
652    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
653
654    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
655    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
656    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
657    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
658    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
659    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
660    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
661    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
662    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
663
664    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
665    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
666    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
667
668    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
669    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
670    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
671};
672
673template <class _Tp>
674    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_specialized;
675template <class _Tp>
676    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits;
677template <class _Tp>
678    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits10;
679template <class _Tp>
680    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_digits10;
681template <class _Tp>
682    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_signed;
683template <class _Tp>
684    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_integer;
685template <class _Tp>
686    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_exact;
687template <class _Tp>
688    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::radix;
689template <class _Tp>
690    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent;
691template <class _Tp>
692    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent10;
693template <class _Tp>
694    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent;
695template <class _Tp>
696    _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent10;
697template <class _Tp>
698    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_infinity;
699template <class _Tp>
700    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
701template <class _Tp>
702    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
703template <class _Tp>
704    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
705template <class _Tp>
706    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_denorm_loss;
707template <class _Tp>
708    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_iec559;
709template <class _Tp>
710    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_bounded;
711template <class _Tp>
712    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_modulo;
713template <class _Tp>
714    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::traps;
715template <class _Tp>
716    _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::tinyness_before;
717template <class _Tp>
718    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<volatile _Tp>::round_style;
719
720template <class _Tp>
721class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp>
722    : private numeric_limits<_Tp>
723{
724    typedef numeric_limits<_Tp> __base;
725    typedef _Tp type;
726public:
727    static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
728    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
729    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
730    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
731
732    static _LIBCPP_CONSTEXPR const int  digits = __base::digits;
733    static _LIBCPP_CONSTEXPR const int  digits10 = __base::digits10;
734    static _LIBCPP_CONSTEXPR const int  max_digits10 = __base::max_digits10;
735    static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
736    static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
737    static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
738    static _LIBCPP_CONSTEXPR const int  radix = __base::radix;
739    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
740    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
741
742    static _LIBCPP_CONSTEXPR const int  min_exponent = __base::min_exponent;
743    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __base::min_exponent10;
744    static _LIBCPP_CONSTEXPR const int  max_exponent = __base::max_exponent;
745    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __base::max_exponent10;
746
747    static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
748    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
749    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
750    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
751    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
752    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
753    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
754    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
755    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
756
757    static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
758    static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
759    static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
760
761    static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
762    static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
763    static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
764};
765
766template <class _Tp>
767    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
768template <class _Tp>
769    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
770template <class _Tp>
771    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
772template <class _Tp>
773    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_digits10;
774template <class _Tp>
775    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
776template <class _Tp>
777    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
778template <class _Tp>
779    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
780template <class _Tp>
781    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
782template <class _Tp>
783    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
784template <class _Tp>
785    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
786template <class _Tp>
787    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
788template <class _Tp>
789    _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
790template <class _Tp>
791    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
792template <class _Tp>
793    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
794template <class _Tp>
795    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
796template <class _Tp>
797    _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
798template <class _Tp>
799    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
800template <class _Tp>
801    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
802template <class _Tp>
803    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
804template <class _Tp>
805    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
806template <class _Tp>
807    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
808template <class _Tp>
809    _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
810template <class _Tp>
811    _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
812
813_LIBCPP_END_NAMESPACE_STD
814
815_LIBCPP_POP_MACROS
816
817#endif  // _LIBCPP_LIMITS
818