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Warning, /include/c++/v1/__cxx03/limits is written in an unsupported language. File is not indexed.

0001 // -*- C++ -*-
0002 //===----------------------------------------------------------------------===//
0003 //
0004 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
0005 // See https://llvm.org/LICENSE.txt for license information.
0006 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
0007 //
0008 //===----------------------------------------------------------------------===//
0009 
0010 #ifndef _LIBCPP___CXX03_LIMITS
0011 #define _LIBCPP___CXX03_LIMITS
0012 
0013 /*
0014     limits synopsis
0015 
0016 namespace std
0017 {
0018 
0019 template<class T>
0020 class numeric_limits
0021 {
0022 public:
0023     static constexpr bool is_specialized = false;
0024     static constexpr T min() noexcept;
0025     static constexpr T max() noexcept;
0026     static constexpr T lowest() noexcept;
0027 
0028     static constexpr int  digits = 0;
0029     static constexpr int  digits10 = 0;
0030     static constexpr int  max_digits10 = 0;
0031     static constexpr bool is_signed = false;
0032     static constexpr bool is_integer = false;
0033     static constexpr bool is_exact = false;
0034     static constexpr int  radix = 0;
0035     static constexpr T epsilon() noexcept;
0036     static constexpr T round_error() noexcept;
0037 
0038     static constexpr int  min_exponent = 0;
0039     static constexpr int  min_exponent10 = 0;
0040     static constexpr int  max_exponent = 0;
0041     static constexpr int  max_exponent10 = 0;
0042 
0043     static constexpr bool has_infinity = false;
0044     static constexpr bool has_quiet_NaN = false;
0045     static constexpr bool has_signaling_NaN = false;
0046     static constexpr float_denorm_style has_denorm = denorm_absent; // deprecated in C++23
0047     static constexpr bool has_denorm_loss = false;                  // deprecated in C++23
0048     static constexpr T infinity() noexcept;
0049     static constexpr T quiet_NaN() noexcept;
0050     static constexpr T signaling_NaN() noexcept;
0051     static constexpr T denorm_min() noexcept;
0052 
0053     static constexpr bool is_iec559 = false;
0054     static constexpr bool is_bounded = false;
0055     static constexpr bool is_modulo = false;
0056 
0057     static constexpr bool traps = false;
0058     static constexpr bool tinyness_before = false;
0059     static constexpr float_round_style round_style = round_toward_zero;
0060 };
0061 
0062 enum float_round_style
0063 {
0064     round_indeterminate       = -1,
0065     round_toward_zero         =  0,
0066     round_to_nearest          =  1,
0067     round_toward_infinity     =  2,
0068     round_toward_neg_infinity =  3
0069 };
0070 
0071 enum float_denorm_style // deprecated in C++23
0072 {
0073     denorm_indeterminate = -1,
0074     denorm_absent = 0,
0075     denorm_present = 1
0076 };
0077 
0078 template<> class numeric_limits<cv bool>;
0079 
0080 template<> class numeric_limits<cv char>;
0081 template<> class numeric_limits<cv signed char>;
0082 template<> class numeric_limits<cv unsigned char>;
0083 template<> class numeric_limits<cv wchar_t>;
0084 template<> class numeric_limits<cv char8_t>; // C++20
0085 template<> class numeric_limits<cv char16_t>;
0086 template<> class numeric_limits<cv char32_t>;
0087 
0088 template<> class numeric_limits<cv short>;
0089 template<> class numeric_limits<cv int>;
0090 template<> class numeric_limits<cv long>;
0091 template<> class numeric_limits<cv long long>;
0092 template<> class numeric_limits<cv unsigned short>;
0093 template<> class numeric_limits<cv unsigned int>;
0094 template<> class numeric_limits<cv unsigned long>;
0095 template<> class numeric_limits<cv unsigned long long>;
0096 
0097 template<> class numeric_limits<cv float>;
0098 template<> class numeric_limits<cv double>;
0099 template<> class numeric_limits<cv long double>;
0100 
0101 }  // std
0102 
0103 */
0104 
0105 #include <__cxx03/__config>
0106 #include <__cxx03/__type_traits/is_arithmetic.h>
0107 #include <__cxx03/__type_traits/is_signed.h>
0108 #include <__cxx03/__type_traits/remove_cv.h>
0109 
0110 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
0111 #  pragma GCC system_header
0112 #endif
0113 
0114 _LIBCPP_PUSH_MACROS
0115 #include <__cxx03/__undef_macros>
0116 #include <__cxx03/version>
0117 
0118 _LIBCPP_BEGIN_NAMESPACE_STD
0119 
0120 enum float_round_style {
0121   round_indeterminate       = -1,
0122   round_toward_zero         = 0,
0123   round_to_nearest          = 1,
0124   round_toward_infinity     = 2,
0125   round_toward_neg_infinity = 3
0126 };
0127 
0128 enum _LIBCPP_DEPRECATED_IN_CXX23 float_denorm_style {
0129   denorm_indeterminate = -1,
0130   denorm_absent        = 0,
0131   denorm_present       = 1
0132 };
0133 
0134 template <class _Tp, bool = is_arithmetic<_Tp>::value>
0135 class __libcpp_numeric_limits {
0136 protected:
0137   typedef _Tp type;
0138 
0139   static _LIBCPP_CONSTEXPR const bool is_specialized = false;
0140   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return type(); }
0141   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return type(); }
0142   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return type(); }
0143 
0144   static _LIBCPP_CONSTEXPR const int digits       = 0;
0145   static _LIBCPP_CONSTEXPR const int digits10     = 0;
0146   static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
0147   static _LIBCPP_CONSTEXPR const bool is_signed   = false;
0148   static _LIBCPP_CONSTEXPR const bool is_integer  = false;
0149   static _LIBCPP_CONSTEXPR const bool is_exact    = false;
0150   static _LIBCPP_CONSTEXPR const int radix        = 0;
0151   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return type(); }
0152   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return type(); }
0153 
0154   static _LIBCPP_CONSTEXPR const int min_exponent   = 0;
0155   static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
0156   static _LIBCPP_CONSTEXPR const int max_exponent   = 0;
0157   static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
0158 
0159   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = false;
0160   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = false;
0161   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = false;
0162   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
0163   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0164   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT { return type(); }
0165   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT { return type(); }
0166   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT { return type(); }
0167   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT { return type(); }
0168 
0169   static _LIBCPP_CONSTEXPR const bool is_iec559  = false;
0170   static _LIBCPP_CONSTEXPR const bool is_bounded = false;
0171   static _LIBCPP_CONSTEXPR const bool is_modulo  = false;
0172 
0173   static _LIBCPP_CONSTEXPR const bool traps                    = false;
0174   static _LIBCPP_CONSTEXPR const bool tinyness_before          = false;
0175   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
0176 };
0177 
0178 template <class _Tp, int __digits, bool _IsSigned>
0179 struct __libcpp_compute_min {
0180   static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << __digits);
0181 };
0182 
0183 template <class _Tp, int __digits>
0184 struct __libcpp_compute_min<_Tp, __digits, false> {
0185   static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
0186 };
0187 
0188 template <class _Tp>
0189 class __libcpp_numeric_limits<_Tp, true> {
0190 protected:
0191   typedef _Tp type;
0192 
0193   static _LIBCPP_CONSTEXPR const bool is_specialized = true;
0194 
0195   static _LIBCPP_CONSTEXPR const bool is_signed   = type(-1) < type(0);
0196   static _LIBCPP_CONSTEXPR const int digits       = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
0197   static _LIBCPP_CONSTEXPR const int digits10     = digits * 3 / 10;
0198   static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
0199   static _LIBCPP_CONSTEXPR const type __min       = __libcpp_compute_min<type, digits, is_signed>::value;
0200   static _LIBCPP_CONSTEXPR const type __max       = is_signed ? type(type(~0) ^ __min) : type(~0);
0201   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __min; }
0202   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __max; }
0203   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return min(); }
0204 
0205   static _LIBCPP_CONSTEXPR const bool is_integer = true;
0206   static _LIBCPP_CONSTEXPR const bool is_exact   = true;
0207   static _LIBCPP_CONSTEXPR const int radix       = 2;
0208   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return type(0); }
0209   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return type(0); }
0210 
0211   static _LIBCPP_CONSTEXPR const int min_exponent   = 0;
0212   static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
0213   static _LIBCPP_CONSTEXPR const int max_exponent   = 0;
0214   static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
0215 
0216   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = false;
0217   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = false;
0218   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = false;
0219   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
0220   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0221   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT { return type(0); }
0222   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT { return type(0); }
0223   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT { return type(0); }
0224   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT { return type(0); }
0225 
0226   static _LIBCPP_CONSTEXPR const bool is_iec559  = false;
0227   static _LIBCPP_CONSTEXPR const bool is_bounded = true;
0228   static _LIBCPP_CONSTEXPR const bool is_modulo  = !std::is_signed<_Tp>::value;
0229 
0230 #if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || defined(__wasm__)
0231   static _LIBCPP_CONSTEXPR const bool traps = true;
0232 #else
0233   static _LIBCPP_CONSTEXPR const bool traps = false;
0234 #endif
0235   static _LIBCPP_CONSTEXPR const bool tinyness_before          = false;
0236   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
0237 };
0238 
0239 template <>
0240 class __libcpp_numeric_limits<bool, true> {
0241 protected:
0242   typedef bool type;
0243 
0244   static _LIBCPP_CONSTEXPR const bool is_specialized = true;
0245 
0246   static _LIBCPP_CONSTEXPR const bool is_signed   = false;
0247   static _LIBCPP_CONSTEXPR const int digits       = 1;
0248   static _LIBCPP_CONSTEXPR const int digits10     = 0;
0249   static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
0250   static _LIBCPP_CONSTEXPR const type __min       = false;
0251   static _LIBCPP_CONSTEXPR const type __max       = true;
0252   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __min; }
0253   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __max; }
0254   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return min(); }
0255 
0256   static _LIBCPP_CONSTEXPR const bool is_integer = true;
0257   static _LIBCPP_CONSTEXPR const bool is_exact   = true;
0258   static _LIBCPP_CONSTEXPR const int radix       = 2;
0259   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return type(0); }
0260   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return type(0); }
0261 
0262   static _LIBCPP_CONSTEXPR const int min_exponent   = 0;
0263   static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
0264   static _LIBCPP_CONSTEXPR const int max_exponent   = 0;
0265   static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
0266 
0267   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = false;
0268   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = false;
0269   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = false;
0270   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
0271   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0272   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT { return type(0); }
0273   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT { return type(0); }
0274   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT { return type(0); }
0275   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT { return type(0); }
0276 
0277   static _LIBCPP_CONSTEXPR const bool is_iec559  = false;
0278   static _LIBCPP_CONSTEXPR const bool is_bounded = true;
0279   static _LIBCPP_CONSTEXPR const bool is_modulo  = false;
0280 
0281   static _LIBCPP_CONSTEXPR const bool traps                    = false;
0282   static _LIBCPP_CONSTEXPR const bool tinyness_before          = false;
0283   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
0284 };
0285 
0286 template <>
0287 class __libcpp_numeric_limits<float, true> {
0288 protected:
0289   typedef float type;
0290 
0291   static _LIBCPP_CONSTEXPR const bool is_specialized = true;
0292 
0293   static _LIBCPP_CONSTEXPR const bool is_signed   = true;
0294   static _LIBCPP_CONSTEXPR const int digits       = __FLT_MANT_DIG__;
0295   static _LIBCPP_CONSTEXPR const int digits10     = __FLT_DIG__;
0296   static _LIBCPP_CONSTEXPR const int max_digits10 = 2 + (digits * 30103l) / 100000l;
0297   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __FLT_MIN__; }
0298   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __FLT_MAX__; }
0299   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return -max(); }
0300 
0301   static _LIBCPP_CONSTEXPR const bool is_integer = false;
0302   static _LIBCPP_CONSTEXPR const bool is_exact   = false;
0303   static _LIBCPP_CONSTEXPR const int radix       = __FLT_RADIX__;
0304   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return __FLT_EPSILON__; }
0305   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return 0.5F; }
0306 
0307   static _LIBCPP_CONSTEXPR const int min_exponent   = __FLT_MIN_EXP__;
0308   static _LIBCPP_CONSTEXPR const int min_exponent10 = __FLT_MIN_10_EXP__;
0309   static _LIBCPP_CONSTEXPR const int max_exponent   = __FLT_MAX_EXP__;
0310   static _LIBCPP_CONSTEXPR const int max_exponent10 = __FLT_MAX_10_EXP__;
0311 
0312   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = true;
0313   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = true;
0314   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = true;
0315   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
0316   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0317   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {
0318     return __builtin_huge_valf();
0319   }
0320   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {
0321     return __builtin_nanf("");
0322   }
0323   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {
0324     return __builtin_nansf("");
0325   }
0326   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {
0327     return __FLT_DENORM_MIN__;
0328   }
0329 
0330   static _LIBCPP_CONSTEXPR const bool is_iec559  = true;
0331   static _LIBCPP_CONSTEXPR const bool is_bounded = true;
0332   static _LIBCPP_CONSTEXPR const bool is_modulo  = false;
0333 
0334   static _LIBCPP_CONSTEXPR const bool traps = false;
0335 #if (defined(__arm__) || defined(__aarch64__))
0336   static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
0337 #else
0338   static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
0339 #endif
0340   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
0341 };
0342 
0343 template <>
0344 class __libcpp_numeric_limits<double, true> {
0345 protected:
0346   typedef double type;
0347 
0348   static _LIBCPP_CONSTEXPR const bool is_specialized = true;
0349 
0350   static _LIBCPP_CONSTEXPR const bool is_signed   = true;
0351   static _LIBCPP_CONSTEXPR const int digits       = __DBL_MANT_DIG__;
0352   static _LIBCPP_CONSTEXPR const int digits10     = __DBL_DIG__;
0353   static _LIBCPP_CONSTEXPR const int max_digits10 = 2 + (digits * 30103l) / 100000l;
0354   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __DBL_MIN__; }
0355   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __DBL_MAX__; }
0356   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return -max(); }
0357 
0358   static _LIBCPP_CONSTEXPR const bool is_integer = false;
0359   static _LIBCPP_CONSTEXPR const bool is_exact   = false;
0360   static _LIBCPP_CONSTEXPR const int radix       = __FLT_RADIX__;
0361   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return __DBL_EPSILON__; }
0362   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return 0.5; }
0363 
0364   static _LIBCPP_CONSTEXPR const int min_exponent   = __DBL_MIN_EXP__;
0365   static _LIBCPP_CONSTEXPR const int min_exponent10 = __DBL_MIN_10_EXP__;
0366   static _LIBCPP_CONSTEXPR const int max_exponent   = __DBL_MAX_EXP__;
0367   static _LIBCPP_CONSTEXPR const int max_exponent10 = __DBL_MAX_10_EXP__;
0368 
0369   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = true;
0370   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = true;
0371   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = true;
0372   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
0373   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0374   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {
0375     return __builtin_huge_val();
0376   }
0377   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {
0378     return __builtin_nan("");
0379   }
0380   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {
0381     return __builtin_nans("");
0382   }
0383   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {
0384     return __DBL_DENORM_MIN__;
0385   }
0386 
0387   static _LIBCPP_CONSTEXPR const bool is_iec559  = true;
0388   static _LIBCPP_CONSTEXPR const bool is_bounded = true;
0389   static _LIBCPP_CONSTEXPR const bool is_modulo  = false;
0390 
0391   static _LIBCPP_CONSTEXPR const bool traps = false;
0392 #if (defined(__arm__) || defined(__aarch64__))
0393   static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
0394 #else
0395   static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
0396 #endif
0397   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
0398 };
0399 
0400 template <>
0401 class __libcpp_numeric_limits<long double, true> {
0402 protected:
0403   typedef long double type;
0404 
0405   static _LIBCPP_CONSTEXPR const bool is_specialized = true;
0406 
0407   static _LIBCPP_CONSTEXPR const bool is_signed   = true;
0408   static _LIBCPP_CONSTEXPR const int digits       = __LDBL_MANT_DIG__;
0409   static _LIBCPP_CONSTEXPR const int digits10     = __LDBL_DIG__;
0410   static _LIBCPP_CONSTEXPR const int max_digits10 = 2 + (digits * 30103l) / 100000l;
0411   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __LDBL_MIN__; }
0412   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __LDBL_MAX__; }
0413   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return -max(); }
0414 
0415   static _LIBCPP_CONSTEXPR const bool is_integer = false;
0416   static _LIBCPP_CONSTEXPR const bool is_exact   = false;
0417   static _LIBCPP_CONSTEXPR const int radix       = __FLT_RADIX__;
0418   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT { return __LDBL_EPSILON__; }
0419   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT { return 0.5L; }
0420 
0421   static _LIBCPP_CONSTEXPR const int min_exponent   = __LDBL_MIN_EXP__;
0422   static _LIBCPP_CONSTEXPR const int min_exponent10 = __LDBL_MIN_10_EXP__;
0423   static _LIBCPP_CONSTEXPR const int max_exponent   = __LDBL_MAX_EXP__;
0424   static _LIBCPP_CONSTEXPR const int max_exponent10 = __LDBL_MAX_10_EXP__;
0425 
0426   static _LIBCPP_CONSTEXPR const bool has_infinity                                         = true;
0427   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN                                        = true;
0428   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN                                    = true;
0429   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
0430   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = false;
0431   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {
0432     return __builtin_huge_vall();
0433   }
0434   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {
0435     return __builtin_nanl("");
0436   }
0437   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {
0438     return __builtin_nansl("");
0439   }
0440   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {
0441     return __LDBL_DENORM_MIN__;
0442   }
0443 
0444 #if defined(__powerpc__) && defined(__LONG_DOUBLE_IBM128__)
0445   static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
0446 #else
0447   static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
0448 #endif
0449   static _LIBCPP_CONSTEXPR const bool is_bounded = true;
0450   static _LIBCPP_CONSTEXPR const bool is_modulo  = false;
0451 
0452   static _LIBCPP_CONSTEXPR const bool traps = false;
0453 #if (defined(__arm__) || defined(__aarch64__))
0454   static _LIBCPP_CONSTEXPR const bool tinyness_before = true;
0455 #else
0456   static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
0457 #endif
0458   static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
0459 };
0460 
0461 template <class _Tp>
0462 class _LIBCPP_TEMPLATE_VIS numeric_limits : private __libcpp_numeric_limits<_Tp> {
0463   typedef __libcpp_numeric_limits<_Tp> __base;
0464   typedef typename __base::type type;
0465 
0466 public:
0467   static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
0468   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type min() _NOEXCEPT { return __base::min(); }
0469   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type max() _NOEXCEPT { return __base::max(); }
0470   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT { return __base::lowest(); }
0471 
0472   static _LIBCPP_CONSTEXPR const int digits       = __base::digits;
0473   static _LIBCPP_CONSTEXPR const int digits10     = __base::digits10;
0474   static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
0475   static _LIBCPP_CONSTEXPR const bool is_signed   = __base::is_signed;
0476   static _LIBCPP_CONSTEXPR const bool is_integer  = __base::is_integer;
0477   static _LIBCPP_CONSTEXPR const bool is_exact    = __base::is_exact;
0478   static _LIBCPP_CONSTEXPR const int radix        = __base::radix;
0479   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {
0480     return __base::epsilon();
0481   }
0482   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {
0483     return __base::round_error();
0484   }
0485 
0486   static _LIBCPP_CONSTEXPR const int min_exponent   = __base::min_exponent;
0487   static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
0488   static _LIBCPP_CONSTEXPR const int max_exponent   = __base::max_exponent;
0489   static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
0490 
0491   static _LIBCPP_CONSTEXPR const bool has_infinity      = __base::has_infinity;
0492   static _LIBCPP_CONSTEXPR const bool has_quiet_NaN     = __base::has_quiet_NaN;
0493   static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
0494   _LIBCPP_SUPPRESS_DEPRECATED_PUSH
0495   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
0496   static _LIBCPP_DEPRECATED_IN_CXX23 _LIBCPP_CONSTEXPR const bool has_denorm_loss          = __base::has_denorm_loss;
0497   _LIBCPP_SUPPRESS_DEPRECATED_POP
0498   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {
0499     return __base::infinity();
0500   }
0501   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {
0502     return __base::quiet_NaN();
0503   }
0504   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {
0505     return __base::signaling_NaN();
0506   }
0507   _LIBCPP_NODISCARD _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {
0508     return __base::denorm_min();
0509   }
0510 
0511   static _LIBCPP_CONSTEXPR const bool is_iec559  = __base::is_iec559;
0512   static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
0513   static _LIBCPP_CONSTEXPR const bool is_modulo  = __base::is_modulo;
0514 
0515   static _LIBCPP_CONSTEXPR const bool traps                    = __base::traps;
0516   static _LIBCPP_CONSTEXPR const bool tinyness_before          = __base::tinyness_before;
0517   static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
0518 };
0519 
0520 template <class _Tp>
0521 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
0522 template <class _Tp>
0523 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
0524 template <class _Tp>
0525 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
0526 template <class _Tp>
0527 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
0528 template <class _Tp>
0529 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
0530 template <class _Tp>
0531 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
0532 template <class _Tp>
0533 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
0534 template <class _Tp>
0535 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
0536 template <class _Tp>
0537 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
0538 template <class _Tp>
0539 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
0540 template <class _Tp>
0541 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
0542 template <class _Tp>
0543 _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
0544 template <class _Tp>
0545 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
0546 template <class _Tp>
0547 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
0548 template <class _Tp>
0549 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
0550 template <class _Tp>
0551 _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
0552 template <class _Tp>
0553 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
0554 template <class _Tp>
0555 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
0556 template <class _Tp>
0557 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
0558 template <class _Tp>
0559 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
0560 template <class _Tp>
0561 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
0562 template <class _Tp>
0563 _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
0564 template <class _Tp>
0565 _LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
0566 
0567 template <class _Tp>
0568 class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp> : public numeric_limits<_Tp> {};
0569 
0570 template <class _Tp>
0571 class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp> : public numeric_limits<_Tp> {};
0572 
0573 template <class _Tp>
0574 class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp> : public numeric_limits<_Tp> {};
0575 
0576 _LIBCPP_END_NAMESPACE_STD
0577 
0578 _LIBCPP_POP_MACROS
0579 
0580 #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
0581 #  include <__cxx03/type_traits>
0582 #endif
0583 
0584 #endif // _LIBCPP___CXX03_LIMITS