7f76450ee9
git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@188396 91177308-0d34-0410-b5e6-96231b3b80d8
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 = true;
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#if __i386__ || __x86_64__
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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__;}
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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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};
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template <>
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class __libcpp_numeric_limits<long double, true>
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{
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protected:
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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;
|
|
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;
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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;
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static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
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static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
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};
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
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template <class _Tp>
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const int numeric_limits<const volatile _Tp>::max_digits10;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
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template <class _Tp>
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_LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
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_LIBCPP_END_NAMESPACE_STD
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#endif // _LIBCPP_LIMITS
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