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//===---------------------------- limits ----------------------------------===//
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// The LLVM Compiler Infrastructure
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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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#ifndef _LIBCPP_LIMITS
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#define _LIBCPP_LIMITS
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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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enum float_round_style
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round_indeterminate = -1,
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round_toward_zero = 0,
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round_toward_infinity = 2,
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round_toward_neg_infinity = 3
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enum float_denorm_style
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denorm_indeterminate = -1,
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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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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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#pragma GCC system_header
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#include <type_traits>
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#include <__undef_min_max>
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#if defined(_MSC_VER)
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#include "support/win32/limits_win32.h"
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_LIBCPP_BEGIN_NAMESPACE_STD
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enum float_round_style
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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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enum float_denorm_style
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denorm_indeterminate = -1,
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template <class _Tp, bool = is_arithmetic<_Tp>::value>
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class __libcpp_numeric_limits
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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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template <class _Tp, int digits, bool is_signed>
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struct __libcpp_compute_min
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static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << digits);
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template <class _Tp, int digits>
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struct __libcpp_compute_min<_Tp, digits, false>
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static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
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class __libcpp_numeric_limits<_Tp, true>
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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 = true;
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#if __i386__ || __x86_64__
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static _LIBCPP_CONSTEXPR const bool traps = true;
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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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class __libcpp_numeric_limits<bool, true>
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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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class __libcpp_numeric_limits<float, true>
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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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class __libcpp_numeric_limits<double, true>
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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__;}
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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 __DBL_EPSILON__;}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
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static _LIBCPP_CONSTEXPR const int min_exponent = __DBL_MIN_EXP__;
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static _LIBCPP_CONSTEXPR const int min_exponent10 = __DBL_MIN_10_EXP__;
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static _LIBCPP_CONSTEXPR const int max_exponent = __DBL_MAX_EXP__;
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static _LIBCPP_CONSTEXPR const int max_exponent10 = __DBL_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_val();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nan("");}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nans("");}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __DBL_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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class __libcpp_numeric_limits<long double, true>
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typedef long 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 = __LDBL_MANT_DIG__;
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static _LIBCPP_CONSTEXPR const int digits10 = __LDBL_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 __LDBL_MIN__;}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __LDBL_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 __LDBL_EPSILON__;}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
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static _LIBCPP_CONSTEXPR const int min_exponent = __LDBL_MIN_EXP__;
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static _LIBCPP_CONSTEXPR const int min_exponent10 = __LDBL_MIN_10_EXP__;
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static _LIBCPP_CONSTEXPR const int max_exponent = __LDBL_MAX_EXP__;
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static _LIBCPP_CONSTEXPR const int max_exponent10 = __LDBL_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_vall();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanl("");}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansl("");}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __LDBL_DENORM_MIN__;}
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#if (defined(__ppc__) || defined(__ppc64__))
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static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
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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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class _LIBCPP_TYPE_VIS numeric_limits
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: private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
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typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
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typedef typename __base::type type;
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static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
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static _LIBCPP_CONSTEXPR const int digits = __base::digits;
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static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
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static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
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static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
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static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
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static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
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static _LIBCPP_CONSTEXPR const int radix = __base::radix;
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
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static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
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static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
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static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
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static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
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static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
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static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
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static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
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static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
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static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
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_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
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static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
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static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
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static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
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static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
477
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
478
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
482
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
484
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
486
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
488
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
490
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
492
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
494
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
496
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
498
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
500
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
502
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
504
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
506
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
508
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
510
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
512
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
514
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
516
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
518
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
520
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
522
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
524
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
526
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
529
class _LIBCPP_TYPE_VIS numeric_limits<const _Tp>
530
: private numeric_limits<_Tp>
532
typedef numeric_limits<_Tp> __base;
535
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
536
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
537
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
538
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
540
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
541
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
542
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
543
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
544
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
545
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
546
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
547
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
548
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
550
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
551
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
552
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
553
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
555
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
556
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
557
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
558
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
559
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
560
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
561
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
562
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
563
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
565
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
566
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
567
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
569
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
570
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
571
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
575
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_specialized;
577
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits;
579
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits10;
581
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_digits10;
583
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_signed;
585
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_integer;
587
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_exact;
589
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::radix;
591
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent;
593
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent10;
595
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent;
597
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent10;
599
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_infinity;
601
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_quiet_NaN;
603
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_signaling_NaN;
605
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const _Tp>::has_denorm;
607
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_denorm_loss;
609
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_iec559;
611
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_bounded;
613
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_modulo;
615
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::traps;
617
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::tinyness_before;
619
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<const _Tp>::round_style;
622
class _LIBCPP_TYPE_VIS numeric_limits<volatile _Tp>
623
: private numeric_limits<_Tp>
625
typedef numeric_limits<_Tp> __base;
628
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
629
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
630
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
631
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
633
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
634
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
635
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
636
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
637
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
638
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
639
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
640
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
641
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
643
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
644
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
645
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
646
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
648
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
649
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
650
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
651
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
652
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
653
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
654
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
655
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
656
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
658
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
659
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
660
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
662
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
663
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
664
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
668
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_specialized;
670
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits;
672
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits10;
674
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_digits10;
676
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_signed;
678
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_integer;
680
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_exact;
682
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::radix;
684
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent;
686
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent10;
688
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent;
690
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent10;
692
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_infinity;
694
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
696
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
698
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
700
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_denorm_loss;
702
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_iec559;
704
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_bounded;
706
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_modulo;
708
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::traps;
710
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::tinyness_before;
712
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<volatile _Tp>::round_style;
715
class _LIBCPP_TYPE_VIS numeric_limits<const volatile _Tp>
716
: private numeric_limits<_Tp>
718
typedef numeric_limits<_Tp> __base;
721
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
722
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
723
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
724
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
726
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
727
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
728
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
729
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
730
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
731
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
732
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
733
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
734
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
736
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
737
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
738
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
739
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
741
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
742
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
743
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
744
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
745
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
746
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
747
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
748
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
749
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
751
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
752
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
753
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
755
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
756
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
757
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
761
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
763
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
765
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
767
const int numeric_limits<const volatile _Tp>::max_digits10;
769
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
771
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
773
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
775
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
777
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
779
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
781
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
783
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
785
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
787
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
789
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
791
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
793
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
795
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
797
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
799
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
801
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
803
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
805
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
807
_LIBCPP_END_NAMESPACE_STD
809
#endif // _LIBCPP_LIMITS