814 lines
		
	
	
		
			40 KiB
		
	
	
	
		
			C++
		
	
	
	
			
		
		
	
	
			814 lines
		
	
	
		
			40 KiB
		
	
	
	
		
			C++
		
	
	
	
// -*- C++ -*-
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//===---------------------------- limits ----------------------------------===//
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//
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//                     The LLVM Compiler Infrastructure
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//
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// This file is dual licensed under the MIT and the University of Illinois Open
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// Source Licenses. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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#ifndef _LIBCPP_LIMITS
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#define _LIBCPP_LIMITS
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/*
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    limits synopsis
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namespace std
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{
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template<class T>
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class numeric_limits
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{
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public:
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    static constexpr bool is_specialized = false;
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    static constexpr T min() noexcept;
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    static constexpr T max() noexcept;
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    static constexpr T lowest() noexcept;
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    static constexpr int  digits = 0;
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    static constexpr int  digits10 = 0;
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    static constexpr int  max_digits10 = 0;
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    static constexpr bool is_signed = false;
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    static constexpr bool is_integer = false;
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    static constexpr bool is_exact = false;
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    static constexpr int  radix = 0;
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    static constexpr T epsilon() noexcept;
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    static constexpr T round_error() noexcept;
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    static constexpr int  min_exponent = 0;
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    static constexpr int  min_exponent10 = 0;
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    static constexpr int  max_exponent = 0;
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    static constexpr int  max_exponent10 = 0;
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    static constexpr bool has_infinity = false;
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    static constexpr bool has_quiet_NaN = false;
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    static constexpr bool has_signaling_NaN = false;
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    static constexpr float_denorm_style has_denorm = denorm_absent;
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    static constexpr bool has_denorm_loss = false;
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    static constexpr T infinity() noexcept;
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    static constexpr T quiet_NaN() noexcept;
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    static constexpr T signaling_NaN() noexcept;
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    static constexpr T denorm_min() noexcept;
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    static constexpr bool is_iec559 = false;
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    static constexpr bool is_bounded = false;
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    static constexpr bool is_modulo = false;
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    static constexpr bool traps = false;
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    static constexpr bool tinyness_before = false;
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    static constexpr float_round_style round_style = round_toward_zero;
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};
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enum float_round_style
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{
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    round_indeterminate       = -1,
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    round_toward_zero         =  0,
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    round_to_nearest          =  1,
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    round_toward_infinity     =  2,
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    round_toward_neg_infinity =  3
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};
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enum float_denorm_style
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{
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    denorm_indeterminate = -1,
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    denorm_absent = 0,
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    denorm_present = 1
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};
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template<> class numeric_limits<cv bool>;
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template<> class numeric_limits<cv char>;
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template<> class numeric_limits<cv signed char>;
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template<> class numeric_limits<cv unsigned char>;
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template<> class numeric_limits<cv wchar_t>;
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template<> class numeric_limits<cv char16_t>;
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template<> class numeric_limits<cv char32_t>;
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template<> class numeric_limits<cv short>;
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template<> class numeric_limits<cv int>;
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template<> class numeric_limits<cv long>;
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template<> class numeric_limits<cv long long>;
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template<> class numeric_limits<cv unsigned short>;
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template<> class numeric_limits<cv unsigned int>;
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template<> class numeric_limits<cv unsigned long>;
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template<> class numeric_limits<cv unsigned long long>;
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template<> class numeric_limits<cv float>;
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template<> class numeric_limits<cv double>;
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template<> class numeric_limits<cv long double>;
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}  // std
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*/
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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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#pragma GCC system_header
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#endif
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#include <__config>
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#include <type_traits>
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#include <__undef_min_max>
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#if defined(_LIBCPP_MSVCRT)
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#include "support/win32/limits_win32.h"
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#endif // _LIBCPP_MSVCRT
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#if defined(__IBMCPP__)
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#include "support/ibm/limits.h"
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#endif // __IBMCPP__
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_LIBCPP_BEGIN_NAMESPACE_STD
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enum float_round_style
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{
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    round_indeterminate       = -1,
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    round_toward_zero         =  0,
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    round_to_nearest          =  1,
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    round_toward_infinity     =  2,
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    round_toward_neg_infinity =  3
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};
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enum float_denorm_style
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{
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    denorm_indeterminate = -1,
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    denorm_absent = 0,
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    denorm_present = 1
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};
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template <class _Tp, bool = is_arithmetic<_Tp>::value>
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class __libcpp_numeric_limits
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{
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protected:
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    typedef _Tp type;
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    static _LIBCPP_CONSTEXPR const  bool is_specialized = false;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return type();}
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    static _LIBCPP_CONSTEXPR const int  digits = 0;
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    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
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    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
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    static _LIBCPP_CONSTEXPR const bool is_signed = false;
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    static _LIBCPP_CONSTEXPR const bool is_integer = false;
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    static _LIBCPP_CONSTEXPR const bool is_exact = false;
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    static _LIBCPP_CONSTEXPR const int  radix = 0;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type();}
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    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
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    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
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    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
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    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
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    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type();}
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    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
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    static _LIBCPP_CONSTEXPR const bool is_bounded = false;
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    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
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    static _LIBCPP_CONSTEXPR const bool traps = false;
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    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
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    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
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};
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template <class _Tp, int digits, bool is_signed>
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struct __libcpp_compute_min
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{
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    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << digits);
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};
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template <class _Tp, int digits>
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struct __libcpp_compute_min<_Tp, digits, false>
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{
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    static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
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};
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template <class _Tp>
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class __libcpp_numeric_limits<_Tp, true>
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{
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protected:
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    typedef _Tp type;
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    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
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    static _LIBCPP_CONSTEXPR const bool is_signed = type(-1) < type(0);
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    static _LIBCPP_CONSTEXPR const int  digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
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    static _LIBCPP_CONSTEXPR const int  digits10 = digits * 3 / 10;
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    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
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    static _LIBCPP_CONSTEXPR const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
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    static _LIBCPP_CONSTEXPR const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
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    static _LIBCPP_CONSTEXPR const bool is_integer = true;
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    static _LIBCPP_CONSTEXPR const bool is_exact = true;
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    static _LIBCPP_CONSTEXPR const int  radix = 2;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
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    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
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    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
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    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
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    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
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    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
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    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
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    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
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    static _LIBCPP_CONSTEXPR const bool is_modulo = !_VSTD::is_signed<_Tp>::value;
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#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__)
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    static _LIBCPP_CONSTEXPR const bool traps = true;
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#else
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    static _LIBCPP_CONSTEXPR const bool traps = false;
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#endif
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    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
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    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
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};
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template <>
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class __libcpp_numeric_limits<bool, true>
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{
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protected:
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    typedef bool type;
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    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
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    static _LIBCPP_CONSTEXPR const bool is_signed = false;
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    static _LIBCPP_CONSTEXPR const int  digits = 1;
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    static _LIBCPP_CONSTEXPR const int  digits10 = 0;
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    static _LIBCPP_CONSTEXPR const int  max_digits10 = 0;
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    static _LIBCPP_CONSTEXPR const type __min = false;
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    static _LIBCPP_CONSTEXPR const type __max = true;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
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    static _LIBCPP_CONSTEXPR const bool is_integer = true;
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    static _LIBCPP_CONSTEXPR const bool is_exact = true;
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    static _LIBCPP_CONSTEXPR const int  radix = 2;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
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    static _LIBCPP_CONSTEXPR const int  min_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  min_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent = 0;
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    static _LIBCPP_CONSTEXPR const int  max_exponent10 = 0;
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    static _LIBCPP_CONSTEXPR const bool has_infinity = false;
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    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
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    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
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    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
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    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
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    static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
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    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
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    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
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    static _LIBCPP_CONSTEXPR const bool traps = false;
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    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
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    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
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};
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template <>
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class __libcpp_numeric_limits<float, true>
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{
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protected:
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    typedef float type;
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    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
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    static _LIBCPP_CONSTEXPR const bool is_signed = true;
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    static _LIBCPP_CONSTEXPR const int  digits = __FLT_MANT_DIG__;
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    static _LIBCPP_CONSTEXPR const int  digits10 = __FLT_DIG__;
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    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103)/100000;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __FLT_MIN__;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __FLT_MAX__;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
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    static _LIBCPP_CONSTEXPR const bool is_integer = false;
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    static _LIBCPP_CONSTEXPR const bool is_exact = false;
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    static _LIBCPP_CONSTEXPR const int  radix = __FLT_RADIX__;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __FLT_EPSILON__;}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5F;}
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    static _LIBCPP_CONSTEXPR const int  min_exponent = __FLT_MIN_EXP__;
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    static _LIBCPP_CONSTEXPR const int  min_exponent10 = __FLT_MIN_10_EXP__;
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    static _LIBCPP_CONSTEXPR const int  max_exponent = __FLT_MAX_EXP__;
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    static _LIBCPP_CONSTEXPR const int  max_exponent10 = __FLT_MAX_10_EXP__;
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    static _LIBCPP_CONSTEXPR const bool has_infinity = true;
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    static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
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    static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
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    static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
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    static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_valf();}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanf("");}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansf("");}
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __FLT_DENORM_MIN__;}
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    static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
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    static _LIBCPP_CONSTEXPR const bool is_bounded = true;
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    static _LIBCPP_CONSTEXPR const bool is_modulo = false;
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    static _LIBCPP_CONSTEXPR const bool traps = false;
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    static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
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    static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
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};
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template <>
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class __libcpp_numeric_limits<double, true>
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{
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protected:
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    typedef double type;
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    static _LIBCPP_CONSTEXPR const bool is_specialized = true;
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    static _LIBCPP_CONSTEXPR const bool is_signed = true;
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    static _LIBCPP_CONSTEXPR const int  digits = __DBL_MANT_DIG__;
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    static _LIBCPP_CONSTEXPR const int  digits10 = __DBL_DIG__;
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    static _LIBCPP_CONSTEXPR const int  max_digits10 = 2+(digits * 30103)/100000;
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    _LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __DBL_MIN__;}
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    _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 * 30103)/100000;
 | 
						|
    _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_TYPE_VIS_ONLY 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_TYPE_VIS_ONLY 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_TYPE_VIS_ONLY 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_TYPE_VIS_ONLY 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
 | 
						|
 | 
						|
#endif  // _LIBCPP_LIMITS
 |