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+// -*- C++ -*-
+//===---------------------------- limits ----------------------------------===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is dual licensed under the MIT and the University of Illinois Open
+// Source Licenses. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP_LIMITS
+#define _LIBCPP_LIMITS
+
+/*
+ limits synopsis
+
+namespace std
+{
+
+template<class T>
+class numeric_limits
+{
+public:
+ static constexpr bool is_specialized = false;
+ static constexpr T min() noexcept;
+ static constexpr T max() noexcept;
+ static constexpr T lowest() noexcept;
+
+ static constexpr int digits = 0;
+ static constexpr int digits10 = 0;
+ static constexpr int max_digits10 = 0;
+ static constexpr bool is_signed = false;
+ static constexpr bool is_integer = false;
+ static constexpr bool is_exact = false;
+ static constexpr int radix = 0;
+ static constexpr T epsilon() noexcept;
+ static constexpr T round_error() noexcept;
+
+ static constexpr int min_exponent = 0;
+ static constexpr int min_exponent10 = 0;
+ static constexpr int max_exponent = 0;
+ static constexpr int max_exponent10 = 0;
+
+ static constexpr bool has_infinity = false;
+ static constexpr bool has_quiet_NaN = false;
+ static constexpr bool has_signaling_NaN = false;
+ static constexpr float_denorm_style has_denorm = denorm_absent;
+ static constexpr bool has_denorm_loss = false;
+ static constexpr T infinity() noexcept;
+ static constexpr T quiet_NaN() noexcept;
+ static constexpr T signaling_NaN() noexcept;
+ static constexpr T denorm_min() noexcept;
+
+ static constexpr bool is_iec559 = false;
+ static constexpr bool is_bounded = false;
+ static constexpr bool is_modulo = false;
+
+ static constexpr bool traps = false;
+ static constexpr bool tinyness_before = false;
+ static constexpr float_round_style round_style = round_toward_zero;
+};
+
+enum float_round_style
+{
+ round_indeterminate = -1,
+ round_toward_zero = 0,
+ round_to_nearest = 1,
+ round_toward_infinity = 2,
+ round_toward_neg_infinity = 3
+};
+
+enum float_denorm_style
+{
+ denorm_indeterminate = -1,
+ denorm_absent = 0,
+ denorm_present = 1
+};
+
+template<> class numeric_limits<cv bool>;
+
+template<> class numeric_limits<cv char>;
+template<> class numeric_limits<cv signed char>;
+template<> class numeric_limits<cv unsigned char>;
+template<> class numeric_limits<cv wchar_t>;
+template<> class numeric_limits<cv char16_t>;
+template<> class numeric_limits<cv char32_t>;
+
+template<> class numeric_limits<cv short>;
+template<> class numeric_limits<cv int>;
+template<> class numeric_limits<cv long>;
+template<> class numeric_limits<cv long long>;
+template<> class numeric_limits<cv unsigned short>;
+template<> class numeric_limits<cv unsigned int>;
+template<> class numeric_limits<cv unsigned long>;
+template<> class numeric_limits<cv unsigned long long>;
+
+template<> class numeric_limits<cv float>;
+template<> class numeric_limits<cv double>;
+template<> class numeric_limits<cv long double>;
+
+} // std
+
+*/
+#include <__config>
+#include <type_traits>
+
+#if defined(_LIBCPP_COMPILER_MSVC)
+#include "support/win32/limits_msvc_win32.h"
+#endif // _LIBCPP_MSVCRT
+
+#if defined(__IBMCPP__)
+#include "support/ibm/limits.h"
+#endif // __IBMCPP__
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#pragma GCC system_header
+#endif
+
+_LIBCPP_PUSH_MACROS
+#include <__undef_macros>
+
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+enum float_round_style
+{
+ round_indeterminate = -1,
+ round_toward_zero = 0,
+ round_to_nearest = 1,
+ round_toward_infinity = 2,
+ round_toward_neg_infinity = 3
+};
+
+enum float_denorm_style
+{
+ denorm_indeterminate = -1,
+ denorm_absent = 0,
+ denorm_present = 1
+};
+
+template <class _Tp, bool = is_arithmetic<_Tp>::value>
+class __libcpp_numeric_limits
+{
+protected:
+ typedef _Tp type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return type();}
+
+ static _LIBCPP_CONSTEXPR const int digits = 0;
+ static _LIBCPP_CONSTEXPR const int digits10 = 0;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
+ static _LIBCPP_CONSTEXPR const bool is_signed = false;
+ static _LIBCPP_CONSTEXPR const bool is_integer = false;
+ static _LIBCPP_CONSTEXPR const bool is_exact = false;
+ static _LIBCPP_CONSTEXPR const int radix = 0;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type();}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = false;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type();}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = false;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = false;
+
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
+};
+
+template <class _Tp, int __digits, bool _IsSigned>
+struct __libcpp_compute_min
+{
+ static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << __digits);
+};
+
+template <class _Tp, int __digits>
+struct __libcpp_compute_min<_Tp, __digits, false>
+{
+ static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
+};
+
+template <class _Tp>
+class __libcpp_numeric_limits<_Tp, true>
+{
+protected:
+ typedef _Tp type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = true;
+
+ static _LIBCPP_CONSTEXPR const bool is_signed = type(-1) < type(0);
+ static _LIBCPP_CONSTEXPR const int digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
+ static _LIBCPP_CONSTEXPR const int digits10 = digits * 3 / 10;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
+ static _LIBCPP_CONSTEXPR const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
+ static _LIBCPP_CONSTEXPR const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_integer = true;
+ static _LIBCPP_CONSTEXPR const bool is_exact = true;
+ static _LIBCPP_CONSTEXPR const int radix = 2;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = false;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = true;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = !_VSTD::is_signed<_Tp>::value;
+
+#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || \
+ defined(__wasm__)
+ static _LIBCPP_CONSTEXPR const bool traps = true;
+#else
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+#endif
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
+};
+
+template <>
+class __libcpp_numeric_limits<bool, true>
+{
+protected:
+ typedef bool type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = true;
+
+ static _LIBCPP_CONSTEXPR const bool is_signed = false;
+ static _LIBCPP_CONSTEXPR const int digits = 1;
+ static _LIBCPP_CONSTEXPR const int digits10 = 0;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
+ static _LIBCPP_CONSTEXPR const type __min = false;
+ static _LIBCPP_CONSTEXPR const type __max = true;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_integer = true;
+ static _LIBCPP_CONSTEXPR const bool is_exact = true;
+ static _LIBCPP_CONSTEXPR const int radix = 2;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent = 0;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = false;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = true;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = false;
+
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
+};
+
+template <>
+class __libcpp_numeric_limits<float, true>
+{
+protected:
+ typedef float type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = true;
+
+ static _LIBCPP_CONSTEXPR const bool is_signed = true;
+ static _LIBCPP_CONSTEXPR const int digits = __FLT_MANT_DIG__;
+ static _LIBCPP_CONSTEXPR const int digits10 = __FLT_DIG__;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __FLT_MIN__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __FLT_MAX__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
+
+ static _LIBCPP_CONSTEXPR const bool is_integer = false;
+ static _LIBCPP_CONSTEXPR const bool is_exact = false;
+ static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __FLT_EPSILON__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5F;}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __FLT_MIN_EXP__;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __FLT_MIN_10_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __FLT_MAX_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __FLT_MAX_10_EXP__;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = true;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_valf();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanf("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansf("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __FLT_DENORM_MIN__;}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = true;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = false;
+
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
+};
+
+template <>
+class __libcpp_numeric_limits<double, true>
+{
+protected:
+ typedef double type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = true;
+
+ static _LIBCPP_CONSTEXPR const bool is_signed = true;
+ static _LIBCPP_CONSTEXPR const int digits = __DBL_MANT_DIG__;
+ static _LIBCPP_CONSTEXPR const int digits10 = __DBL_DIG__;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __DBL_MIN__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __DBL_MAX__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
+
+ static _LIBCPP_CONSTEXPR const bool is_integer = false;
+ static _LIBCPP_CONSTEXPR const bool is_exact = false;
+ static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __DBL_EPSILON__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __DBL_MIN_EXP__;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __DBL_MIN_10_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __DBL_MAX_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __DBL_MAX_10_EXP__;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = true;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_val();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nan("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nans("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __DBL_DENORM_MIN__;}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = true;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = false;
+
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
+};
+
+template <>
+class __libcpp_numeric_limits<long double, true>
+{
+protected:
+ typedef long double type;
+
+ static _LIBCPP_CONSTEXPR const bool is_specialized = true;
+
+ static _LIBCPP_CONSTEXPR const bool is_signed = true;
+ static _LIBCPP_CONSTEXPR const int digits = __LDBL_MANT_DIG__;
+ static _LIBCPP_CONSTEXPR const int digits10 = __LDBL_DIG__;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __LDBL_MIN__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __LDBL_MAX__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
+
+ static _LIBCPP_CONSTEXPR const bool is_integer = false;
+ static _LIBCPP_CONSTEXPR const bool is_exact = false;
+ static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __LDBL_EPSILON__;}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __LDBL_MIN_EXP__;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __LDBL_MIN_10_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __LDBL_MAX_EXP__;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __LDBL_MAX_10_EXP__;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = true;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_vall();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanl("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansl("");}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __LDBL_DENORM_MIN__;}
+
+#if (defined(__ppc__) || defined(__ppc64__))
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
+#else
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
+#endif
+ static _LIBCPP_CONSTEXPR const bool is_bounded = true;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = false;
+
+ static _LIBCPP_CONSTEXPR const bool traps = false;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
+};
+
+template <class _Tp>
+class _LIBCPP_TEMPLATE_VIS numeric_limits
+ : private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
+{
+ typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
+ typedef typename __base::type type;
+public:
+ static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
+
+ static _LIBCPP_CONSTEXPR const int digits = __base::digits;
+ static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
+ static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
+ static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
+ static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
+ static _LIBCPP_CONSTEXPR const int radix = __base::radix;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
+
+ static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
+};
+
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
+
+template <class _Tp>
+class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp>
+ : private numeric_limits<_Tp>
+{
+ typedef numeric_limits<_Tp> __base;
+ typedef _Tp type;
+public:
+ static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
+
+ static _LIBCPP_CONSTEXPR const int digits = __base::digits;
+ static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
+ static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
+ static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
+ static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
+ static _LIBCPP_CONSTEXPR const int radix = __base::radix;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
+
+ static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
+};
+
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_specialized;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_signed;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_integer;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_exact;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::radix;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_infinity;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_quiet_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_signaling_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const _Tp>::has_denorm;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_denorm_loss;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_iec559;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_bounded;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_modulo;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::traps;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::tinyness_before;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const _Tp>::round_style;
+
+template <class _Tp>
+class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp>
+ : private numeric_limits<_Tp>
+{
+ typedef numeric_limits<_Tp> __base;
+ typedef _Tp type;
+public:
+ static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
+
+ static _LIBCPP_CONSTEXPR const int digits = __base::digits;
+ static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
+ static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
+ static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
+ static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
+ static _LIBCPP_CONSTEXPR const int radix = __base::radix;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
+
+ static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
+};
+
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_specialized;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_signed;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_integer;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_exact;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::radix;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_infinity;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_denorm_loss;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_iec559;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_bounded;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_modulo;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::traps;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::tinyness_before;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_round_style numeric_limits<volatile _Tp>::round_style;
+
+template <class _Tp>
+class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp>
+ : private numeric_limits<_Tp>
+{
+ typedef numeric_limits<_Tp> __base;
+ typedef _Tp type;
+public:
+ static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
+
+ static _LIBCPP_CONSTEXPR const int digits = __base::digits;
+ static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
+ static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
+ static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
+ static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
+ static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
+ static _LIBCPP_CONSTEXPR const int radix = __base::radix;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
+
+ static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
+ static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
+ static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
+ static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
+
+ static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
+ static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
+ static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
+ static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
+ static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
+ _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
+
+ static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
+ static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
+ static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
+
+ static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
+ static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
+ static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
+};
+
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_digits10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
+template <class _Tp>
+ _LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
+
+_LIBCPP_END_NAMESPACE_STD
+
+_LIBCPP_POP_MACROS
+
+#endif // _LIBCPP_LIMITS