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cosmopolitan/third_party/libcxx/limits
Justine Tunney cf93ecbbb2 Prove that Makefile is fully defined 
The whole repository is now buildable with GNU Make Landlock sandboxing.
This proves that no Makefile targets exist which touch files other than
their declared prerequisites. In order to do this, we had to:

  1. Stop code morphing GCC output in package.com and instead run a
     newly introduced FIXUPOBJ.COM command after GCC invocations.

  2. Disable all the crumby Python unit tests that do things like create
     files in the current directory, or rename() files between folders.
     This ended up being a lot of tests, but most of them are still ok.

  3. Introduce an .UNSANDBOXED variable to GNU Make to disable Landlock.
     We currently only do this for things like `make tags`.

  4. This change deletes some GNU Make code that was preventing the
     execve() optimization from working. This means it should no longer
     be necessary in most cases for command invocations to be indirected
     through the cocmd interpreter.

  5. Missing dependencies had to be declared in certain places, in cases
     where they couldn't be automatically determined by MKDEPS.COM

  6. The libcxx header situation has finally been tamed. One of the
     things that makes this difficult is MKDEPS.COM only wants to
     consider the first 64kb of a file, in order to go fast. But libcxx
     likes to have #include lines buried after huge documentation.

  7. An .UNVEIL variable has been introduced to GNU Make just in case
     we ever wish to explicitly specify additional things that need to
     be whitelisted which aren't strictly prerequisites. This works in
     a manner similar to the recently introduced .EXTRA_PREREQS feature.

There's now a new build/bootstrap/make.com prebuilt binary available. It
should no longer be possible to write invalid Makefile code.
2022-08-06 04:05:08 -07:00

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// -*- C++ -*-
//===---------------------------- limits ----------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP_LIMITS
#define _LIBCPP_LIMITS
#include "third_party/libcxx/__config"
#include "third_party/libcxx/type_traits"
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif
_LIBCPP_PUSH_MACROS
#include "third_party/libcxx/__undef_macros"
#include "third_party/libcxx/version"
_LIBCPP_BEGIN_NAMESPACE_STD
/*
limits synopsis
namespace std
{
template<class T>
class numeric_limits
{
public:
static constexpr bool is_specialized = false;
static constexpr T min() noexcept;
static constexpr T max() noexcept;
static constexpr T lowest() noexcept;
static constexpr int digits = 0;
static constexpr int digits10 = 0;
static constexpr int max_digits10 = 0;
static constexpr bool is_signed = false;
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = 0;
static constexpr T epsilon() noexcept;
static constexpr T round_error() noexcept;
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
static constexpr T infinity() noexcept;
static constexpr T quiet_NaN() noexcept;
static constexpr T signaling_NaN() noexcept;
static constexpr T denorm_min() noexcept;
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = false;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
enum float_round_style
{
round_indeterminate = -1,
round_toward_zero = 0,
round_to_nearest = 1,
round_toward_infinity = 2,
round_toward_neg_infinity = 3
};
enum float_denorm_style
{
denorm_indeterminate = -1,
denorm_absent = 0,
denorm_present = 1
};
template<> class numeric_limits<cv bool>;
template<> class numeric_limits<cv char>;
template<> class numeric_limits<cv signed char>;
template<> class numeric_limits<cv unsigned char>;
template<> class numeric_limits<cv wchar_t>;
template<> class numeric_limits<cv char8_t>; // C++20
template<> class numeric_limits<cv char16_t>;
template<> class numeric_limits<cv char32_t>;
template<> class numeric_limits<cv short>;
template<> class numeric_limits<cv int>;
template<> class numeric_limits<cv long>;
template<> class numeric_limits<cv long long>;
template<> class numeric_limits<cv unsigned short>;
template<> class numeric_limits<cv unsigned int>;
template<> class numeric_limits<cv unsigned long>;
template<> class numeric_limits<cv unsigned long long>;
template<> class numeric_limits<cv float>;
template<> class numeric_limits<cv double>;
template<> class numeric_limits<cv long double>;
} // std
*/
enum float_round_style
{
round_indeterminate = -1,
round_toward_zero = 0,
round_to_nearest = 1,
round_toward_infinity = 2,
round_toward_neg_infinity = 3
};
enum float_denorm_style
{
denorm_indeterminate = -1,
denorm_absent = 0,
denorm_present = 1
};
template <class _Tp, bool = is_arithmetic<_Tp>::value>
class __libcpp_numeric_limits
{
protected:
typedef _Tp type;
static _LIBCPP_CONSTEXPR const bool is_specialized = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return type();}
static _LIBCPP_CONSTEXPR const int digits = 0;
static _LIBCPP_CONSTEXPR const int digits10 = 0;
static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
static _LIBCPP_CONSTEXPR const bool is_signed = false;
static _LIBCPP_CONSTEXPR const bool is_integer = false;
static _LIBCPP_CONSTEXPR const bool is_exact = false;
static _LIBCPP_CONSTEXPR const int radix = 0;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type();}
static _LIBCPP_CONSTEXPR const int min_exponent = 0;
static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
static _LIBCPP_CONSTEXPR const int max_exponent = 0;
static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
static _LIBCPP_CONSTEXPR const bool has_infinity = false;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type();}
static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
static _LIBCPP_CONSTEXPR const bool is_bounded = false;
static _LIBCPP_CONSTEXPR const bool is_modulo = false;
static _LIBCPP_CONSTEXPR const bool traps = false;
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
};
template <class _Tp, int __digits, bool _IsSigned>
struct __libcpp_compute_min
{
static _LIBCPP_CONSTEXPR const _Tp value = _Tp(_Tp(1) << __digits);
};
template <class _Tp, int __digits>
struct __libcpp_compute_min<_Tp, __digits, false>
{
static _LIBCPP_CONSTEXPR const _Tp value = _Tp(0);
};
template <class _Tp>
class __libcpp_numeric_limits<_Tp, true>
{
protected:
typedef _Tp type;
static _LIBCPP_CONSTEXPR const bool is_specialized = true;
static _LIBCPP_CONSTEXPR const bool is_signed = type(-1) < type(0);
static _LIBCPP_CONSTEXPR const int digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
static _LIBCPP_CONSTEXPR const int digits10 = digits * 3 / 10;
static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
static _LIBCPP_CONSTEXPR const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
static _LIBCPP_CONSTEXPR const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
static _LIBCPP_CONSTEXPR const bool is_integer = true;
static _LIBCPP_CONSTEXPR const bool is_exact = true;
static _LIBCPP_CONSTEXPR const int radix = 2;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
static _LIBCPP_CONSTEXPR const int min_exponent = 0;
static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
static _LIBCPP_CONSTEXPR const int max_exponent = 0;
static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
static _LIBCPP_CONSTEXPR const bool has_infinity = false;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
static _LIBCPP_CONSTEXPR const bool is_bounded = true;
static _LIBCPP_CONSTEXPR const bool is_modulo = !_VSTD::is_signed<_Tp>::value;
#if defined(__i386__) || defined(__x86_64__) || defined(__pnacl__) || \
defined(__wasm__)
static _LIBCPP_CONSTEXPR const bool traps = true;
#else
static _LIBCPP_CONSTEXPR const bool traps = false;
#endif
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
};
template <>
class __libcpp_numeric_limits<bool, true>
{
protected:
typedef bool type;
static _LIBCPP_CONSTEXPR const bool is_specialized = true;
static _LIBCPP_CONSTEXPR const bool is_signed = false;
static _LIBCPP_CONSTEXPR const int digits = 1;
static _LIBCPP_CONSTEXPR const int digits10 = 0;
static _LIBCPP_CONSTEXPR const int max_digits10 = 0;
static _LIBCPP_CONSTEXPR const type __min = false;
static _LIBCPP_CONSTEXPR const type __max = true;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __min;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __max;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return min();}
static _LIBCPP_CONSTEXPR const bool is_integer = true;
static _LIBCPP_CONSTEXPR const bool is_exact = true;
static _LIBCPP_CONSTEXPR const int radix = 2;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return type(0);}
static _LIBCPP_CONSTEXPR const int min_exponent = 0;
static _LIBCPP_CONSTEXPR const int min_exponent10 = 0;
static _LIBCPP_CONSTEXPR const int max_exponent = 0;
static _LIBCPP_CONSTEXPR const int max_exponent10 = 0;
static _LIBCPP_CONSTEXPR const bool has_infinity = false;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = false;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = false;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_absent;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return type(0);}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return type(0);}
static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
static _LIBCPP_CONSTEXPR const bool is_bounded = true;
static _LIBCPP_CONSTEXPR const bool is_modulo = false;
static _LIBCPP_CONSTEXPR const bool traps = false;
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_toward_zero;
};
template <>
class __libcpp_numeric_limits<float, true>
{
protected:
typedef float type;
static _LIBCPP_CONSTEXPR const bool is_specialized = true;
static _LIBCPP_CONSTEXPR const bool is_signed = true;
static _LIBCPP_CONSTEXPR const int digits = __FLT_MANT_DIG__;
static _LIBCPP_CONSTEXPR const int digits10 = __FLT_DIG__;
static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __FLT_MIN__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __FLT_MAX__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
static _LIBCPP_CONSTEXPR const bool is_integer = false;
static _LIBCPP_CONSTEXPR const bool is_exact = false;
static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __FLT_EPSILON__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5F;}
static _LIBCPP_CONSTEXPR const int min_exponent = __FLT_MIN_EXP__;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __FLT_MIN_10_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent = __FLT_MAX_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __FLT_MAX_10_EXP__;
static _LIBCPP_CONSTEXPR const bool has_infinity = true;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_valf();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanf("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansf("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __FLT_DENORM_MIN__;}
static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
static _LIBCPP_CONSTEXPR const bool is_bounded = true;
static _LIBCPP_CONSTEXPR const bool is_modulo = false;
static _LIBCPP_CONSTEXPR const bool traps = false;
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
};
template <>
class __libcpp_numeric_limits<double, true>
{
protected:
typedef double type;
static _LIBCPP_CONSTEXPR const bool is_specialized = true;
static _LIBCPP_CONSTEXPR const bool is_signed = true;
static _LIBCPP_CONSTEXPR const int digits = __DBL_MANT_DIG__;
static _LIBCPP_CONSTEXPR const int digits10 = __DBL_DIG__;
static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __DBL_MIN__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __DBL_MAX__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
static _LIBCPP_CONSTEXPR const bool is_integer = false;
static _LIBCPP_CONSTEXPR const bool is_exact = false;
static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __DBL_EPSILON__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5;}
static _LIBCPP_CONSTEXPR const int min_exponent = __DBL_MIN_EXP__;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __DBL_MIN_10_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent = __DBL_MAX_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __DBL_MAX_10_EXP__;
static _LIBCPP_CONSTEXPR const bool has_infinity = true;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_val();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nan("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nans("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __DBL_DENORM_MIN__;}
static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
static _LIBCPP_CONSTEXPR const bool is_bounded = true;
static _LIBCPP_CONSTEXPR const bool is_modulo = false;
static _LIBCPP_CONSTEXPR const bool traps = false;
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
};
template <>
class __libcpp_numeric_limits<long double, true>
{
protected:
typedef long double type;
static _LIBCPP_CONSTEXPR const bool is_specialized = true;
static _LIBCPP_CONSTEXPR const bool is_signed = true;
static _LIBCPP_CONSTEXPR const int digits = __LDBL_MANT_DIG__;
static _LIBCPP_CONSTEXPR const int digits10 = __LDBL_DIG__;
static _LIBCPP_CONSTEXPR const int max_digits10 = 2+(digits * 30103l)/100000l;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __LDBL_MIN__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __LDBL_MAX__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return -max();}
static _LIBCPP_CONSTEXPR const bool is_integer = false;
static _LIBCPP_CONSTEXPR const bool is_exact = false;
static _LIBCPP_CONSTEXPR const int radix = __FLT_RADIX__;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __LDBL_EPSILON__;}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return 0.5L;}
static _LIBCPP_CONSTEXPR const int min_exponent = __LDBL_MIN_EXP__;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __LDBL_MIN_10_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent = __LDBL_MAX_EXP__;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __LDBL_MAX_10_EXP__;
static _LIBCPP_CONSTEXPR const bool has_infinity = true;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = true;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = true;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = denorm_present;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = false;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __builtin_huge_vall();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __builtin_nanl("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __builtin_nansl("");}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __LDBL_DENORM_MIN__;}
#if (defined(__ppc__) || defined(__ppc64__))
static _LIBCPP_CONSTEXPR const bool is_iec559 = false;
#else
static _LIBCPP_CONSTEXPR const bool is_iec559 = true;
#endif
static _LIBCPP_CONSTEXPR const bool is_bounded = true;
static _LIBCPP_CONSTEXPR const bool is_modulo = false;
static _LIBCPP_CONSTEXPR const bool traps = false;
static _LIBCPP_CONSTEXPR const bool tinyness_before = false;
static _LIBCPP_CONSTEXPR const float_round_style round_style = round_to_nearest;
};
template <class _Tp>
class _LIBCPP_TEMPLATE_VIS numeric_limits
: private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
{
typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
typedef typename __base::type type;
public:
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
};
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_specialized;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_signed;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_integer;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_exact;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::radix;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::min_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<_Tp>::max_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_infinity;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_quiet_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_signaling_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<_Tp>::has_denorm;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::has_denorm_loss;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_iec559;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_bounded;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::is_modulo;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::traps;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<_Tp>::tinyness_before;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<_Tp>::round_style;
template <class _Tp>
class _LIBCPP_TEMPLATE_VIS numeric_limits<const _Tp>
: private numeric_limits<_Tp>
{
typedef numeric_limits<_Tp> __base;
typedef _Tp type;
public:
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
};
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_specialized;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_signed;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_integer;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_exact;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::radix;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::min_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const _Tp>::max_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_infinity;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_quiet_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_signaling_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const _Tp>::has_denorm;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::has_denorm_loss;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_iec559;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_bounded;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::is_modulo;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::traps;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const _Tp>::tinyness_before;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<const _Tp>::round_style;
template <class _Tp>
class _LIBCPP_TEMPLATE_VIS numeric_limits<volatile _Tp>
: private numeric_limits<_Tp>
{
typedef numeric_limits<_Tp> __base;
typedef _Tp type;
public:
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
};
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_specialized;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_signed;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_integer;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_exact;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::radix;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::min_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<volatile _Tp>::max_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_infinity;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::has_denorm_loss;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_iec559;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_bounded;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::is_modulo;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::traps;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<volatile _Tp>::tinyness_before;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<volatile _Tp>::round_style;
template <class _Tp>
class _LIBCPP_TEMPLATE_VIS numeric_limits<const volatile _Tp>
: private numeric_limits<_Tp>
{
typedef numeric_limits<_Tp> __base;
typedef _Tp type;
public:
static _LIBCPP_CONSTEXPR const bool is_specialized = __base::is_specialized;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type min() _NOEXCEPT {return __base::min();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type max() _NOEXCEPT {return __base::max();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type lowest() _NOEXCEPT {return __base::lowest();}
static _LIBCPP_CONSTEXPR const int digits = __base::digits;
static _LIBCPP_CONSTEXPR const int digits10 = __base::digits10;
static _LIBCPP_CONSTEXPR const int max_digits10 = __base::max_digits10;
static _LIBCPP_CONSTEXPR const bool is_signed = __base::is_signed;
static _LIBCPP_CONSTEXPR const bool is_integer = __base::is_integer;
static _LIBCPP_CONSTEXPR const bool is_exact = __base::is_exact;
static _LIBCPP_CONSTEXPR const int radix = __base::radix;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type epsilon() _NOEXCEPT {return __base::epsilon();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type round_error() _NOEXCEPT {return __base::round_error();}
static _LIBCPP_CONSTEXPR const int min_exponent = __base::min_exponent;
static _LIBCPP_CONSTEXPR const int min_exponent10 = __base::min_exponent10;
static _LIBCPP_CONSTEXPR const int max_exponent = __base::max_exponent;
static _LIBCPP_CONSTEXPR const int max_exponent10 = __base::max_exponent10;
static _LIBCPP_CONSTEXPR const bool has_infinity = __base::has_infinity;
static _LIBCPP_CONSTEXPR const bool has_quiet_NaN = __base::has_quiet_NaN;
static _LIBCPP_CONSTEXPR const bool has_signaling_NaN = __base::has_signaling_NaN;
static _LIBCPP_CONSTEXPR const float_denorm_style has_denorm = __base::has_denorm;
static _LIBCPP_CONSTEXPR const bool has_denorm_loss = __base::has_denorm_loss;
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type infinity() _NOEXCEPT {return __base::infinity();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type quiet_NaN() _NOEXCEPT {return __base::quiet_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type signaling_NaN() _NOEXCEPT {return __base::signaling_NaN();}
_LIBCPP_INLINE_VISIBILITY static _LIBCPP_CONSTEXPR type denorm_min() _NOEXCEPT {return __base::denorm_min();}
static _LIBCPP_CONSTEXPR const bool is_iec559 = __base::is_iec559;
static _LIBCPP_CONSTEXPR const bool is_bounded = __base::is_bounded;
static _LIBCPP_CONSTEXPR const bool is_modulo = __base::is_modulo;
static _LIBCPP_CONSTEXPR const bool traps = __base::traps;
static _LIBCPP_CONSTEXPR const bool tinyness_before = __base::tinyness_before;
static _LIBCPP_CONSTEXPR const float_round_style round_style = __base::round_style;
};
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_specialized;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_digits10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_signed;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_integer;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_exact;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::radix;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::min_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent;
template <class _Tp>
_LIBCPP_CONSTEXPR const int numeric_limits<const volatile _Tp>::max_exponent10;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_infinity;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_iec559;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_bounded;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::is_modulo;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::traps;
template <class _Tp>
_LIBCPP_CONSTEXPR const bool numeric_limits<const volatile _Tp>::tinyness_before;
template <class _Tp>
_LIBCPP_CONSTEXPR const float_round_style numeric_limits<const volatile _Tp>::round_style;
_LIBCPP_END_NAMESPACE_STD
_LIBCPP_POP_MACROS
#endif // _LIBCPP_LIMITS
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