limits
Go to the documentation of this file.
// The template and inlines for the numeric_limits classes. -*- C++ -*-
// Copyright (C) 1999-2023 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library. This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
/** @file include/limits
* This is a Standard C++ Library header.
*/
// Note: this is not a conforming implementation.
// Written by Gabriel Dos Reis <gdr@codesourcery.com>
//
// ISO 14882:1998
// 18.2.1
//
#ifndef _GLIBCXX_NUMERIC_LIMITS
#define _GLIBCXX_NUMERIC_LIMITS 1
#pragma GCC system_header
#include <bits/c++config.h>
//
// The numeric_limits<> traits document implementation-defined aspects
// of fundamental arithmetic data types (integers and floating points).
// From Standard C++ point of view, there are 14 such types:
// * integers
// bool (1)
// char, signed char, unsigned char, wchar_t (4)
// short, unsigned short (2)
// int, unsigned (2)
// long, unsigned long (2)
//
// * floating points
// float (1)
// double (1)
// long double (1)
//
// GNU C++ understands (where supported by the host C-library)
// * integer
// long long, unsigned long long (2)
//
// which brings us to 16 fundamental arithmetic data types in GNU C++.
//
//
// Since a numeric_limits<> is a bit tricky to get right, we rely on
// an interface composed of macros which should be defined in config/os
// or config/cpu when they differ from the generic (read arbitrary)
// definitions given here.
//
// These values can be overridden in the target configuration file.
// The default values are appropriate for many 32-bit targets.
// GCC only intrinsically supports modulo integral types. The only remaining
// integral exceptional values is division by zero. Only targets that do not
// signal division by zero in some "hard to ignore" way should use false.
#ifndef __glibcxx_integral_traps
# define __glibcxx_integral_traps true
#endif
// float
//
// Default values. Should be overridden in configuration files if necessary.
#ifndef __glibcxx_float_has_denorm_loss
# define __glibcxx_float_has_denorm_loss false
#endif
#ifndef __glibcxx_float_traps
# define __glibcxx_float_traps false
#endif
#ifndef __glibcxx_float_tinyness_before
# define __glibcxx_float_tinyness_before false
#endif
// double
// Default values. Should be overridden in configuration files if necessary.
#ifndef __glibcxx_double_has_denorm_loss
# define __glibcxx_double_has_denorm_loss false
#endif
#ifndef __glibcxx_double_traps
# define __glibcxx_double_traps false
#endif
#ifndef __glibcxx_double_tinyness_before
# define __glibcxx_double_tinyness_before false
#endif
// long double
// Default values. Should be overridden in configuration files if necessary.
#ifndef __glibcxx_long_double_has_denorm_loss
# define __glibcxx_long_double_has_denorm_loss false
#endif
#ifndef __glibcxx_long_double_traps
# define __glibcxx_long_double_traps false
#endif
#ifndef __glibcxx_long_double_tinyness_before
# define __glibcxx_long_double_tinyness_before false
#endif
// You should not need to define any macros below this point.
#define __glibcxx_signed_b(T,B) ((T)(-1) < 0)
#define __glibcxx_min_b(T,B) \
(__glibcxx_signed_b (T,B) ? -__glibcxx_max_b (T,B) - 1 : (T)0)
#define __glibcxx_max_b(T,B) \
(__glibcxx_signed_b (T,B) ? \
(((((T)1 << (__glibcxx_digits_b (T,B) - 1)) - 1) << 1) + 1) : ~(T)0)
#define __glibcxx_digits_b(T,B) \
(B - __glibcxx_signed_b (T,B))
// The fraction 643/2136 approximates log10(2) to 7 significant digits.
#define __glibcxx_digits10_b(T,B) \
(__glibcxx_digits_b (T,B) * 643L / 2136)
#define __glibcxx_signed(T) \
__glibcxx_signed_b (T, sizeof(T) * __CHAR_BIT__)
#define __glibcxx_min(T) \
__glibcxx_min_b (T, sizeof(T) * __CHAR_BIT__)
#define __glibcxx_max(T) \
__glibcxx_max_b (T, sizeof(T) * __CHAR_BIT__)
#define __glibcxx_digits(T) \
__glibcxx_digits_b (T, sizeof(T) * __CHAR_BIT__)
#define __glibcxx_digits10(T) \
__glibcxx_digits10_b (T, sizeof(T) * __CHAR_BIT__)
#define __glibcxx_max_digits10(T) \
(2 + (T) * 643L / 2136)
namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @brief Describes the rounding style for floating-point types.
*
* This is used in the std::numeric_limits class.
*/
enum float_round_style
{
round_indeterminate = -1, ///< Intermediate.
round_toward_zero = 0, ///< To zero.
round_to_nearest = 1, ///< To the nearest representable value.
round_toward_infinity = 2, ///< To infinity.
round_toward_neg_infinity = 3 ///< To negative infinity.
};
/**
* @brief Describes the denormalization for floating-point types.
*
* These values represent the presence or absence of a variable number
* of exponent bits. This type is used in the std::numeric_limits class.
*/
enum float_denorm_style
{
/// Indeterminate at compile time whether denormalized values are allowed.
denorm_indeterminate = -1,
/// The type does not allow denormalized values.
denorm_absent = 0,
/// The type allows denormalized values.
denorm_present = 1
};
/**
* @brief Part of std::numeric_limits.
*
* The @c static @c const members are usable as integral constant
* expressions.
*
* @note This is a separate class for purposes of efficiency; you
* should only access these members as part of an instantiation
* of the std::numeric_limits class.
*/
struct __numeric_limits_base
{
/** This will be true for all fundamental types (which have
specializations), and false for everything else. */
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = false;
/** The number of @c radix digits that be represented without change: for
integer types, the number of non-sign bits in the mantissa; for
floating types, the number of @c radix digits in the mantissa. */
static _GLIBCXX_USE_CONSTEXPR int digits = 0;
/** The number of base 10 digits that can be represented without change. */
static _GLIBCXX_USE_CONSTEXPR int digits10 = 0;
#if __cplusplus >= 201103L
/** The number of base 10 digits required to ensure that values which
differ are always differentiated. */
static constexpr int max_digits10 = 0;
#endif
/** True if the type is signed. */
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
/** True if the type is integer. */
static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
/** True if the type uses an exact representation. All integer types are
exact, but not all exact types are integer. For example, rational and
fixed-exponent representations are exact but not integer. */
static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
/** For integer types, specifies the base of the representation. For
floating types, specifies the base of the exponent representation. */
static _GLIBCXX_USE_CONSTEXPR int radix = 0;
/** The minimum negative integer such that @c radix raised to the power of
(one less than that integer) is a normalized floating point number. */
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
/** The minimum negative integer such that 10 raised to that power is in
the range of normalized floating point numbers. */
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
/** The maximum positive integer such that @c radix raised to the power of
(one less than that integer) is a representable finite floating point
number. */
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
/** The maximum positive integer such that 10 raised to that power is in
the range of representable finite floating point numbers. */
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
/** True if the type has a representation for positive infinity. */
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
/** True if the type has a representation for a quiet (non-signaling)
Not a Number. */
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
/** True if the type has a representation for a signaling
Not a Number. */
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
/** See std::float_denorm_style for more information. */
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
/** True if loss of accuracy is detected as a denormalization loss,
rather than as an inexact result. */
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
/** True if-and-only-if the type adheres to the IEC 559 standard, also
known as IEEE 754. (Only makes sense for floating point types.) */
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
/** True if the set of values representable by the type is
finite. All built-in types are bounded, this member would be
false for arbitrary precision types. */
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = false;
/** True if the type is @e modulo. A type is modulo if, for any
operation involving +, -, or * on values of that type whose
result would fall outside the range [min(),max()], the value
returned differs from the true value by an integer multiple of
max() - min() + 1. On most machines, this is false for floating
types, true for unsigned integers, and true for signed integers.
See PR22200 about signed integers. */
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
/** True if trapping is implemented for this type. */
static _GLIBCXX_USE_CONSTEXPR bool traps = false;
/** True if tininess is detected before rounding. (see IEC 559) */
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
/** See std::float_round_style for more information. This is only
meaningful for floating types; integer types will all be
round_toward_zero. */
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style =
round_toward_zero;
};
/**
* @brief Properties of fundamental types.
*
* This class allows a program to obtain information about the
* representation of a fundamental type on a given platform. For
* non-fundamental types, the functions will return 0 and the data
* members will all be @c false.
*/
template<typename _Tp>
struct numeric_limits : public __numeric_limits_base
{
/** The minimum finite value, or for floating types with
denormalization, the minimum positive normalized value. */
static _GLIBCXX_CONSTEXPR _Tp
min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The maximum finite value. */
static _GLIBCXX_CONSTEXPR _Tp
max() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
#if __cplusplus >= 201103L
/** A finite value x such that there is no other finite value y
* where y < x. */
static constexpr _Tp
lowest() noexcept { return _Tp(); }
#endif
/** The @e machine @e epsilon: the difference between 1 and the least
value greater than 1 that is representable. */
static _GLIBCXX_CONSTEXPR _Tp
epsilon() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The maximum rounding error measurement (see LIA-1). */
static _GLIBCXX_CONSTEXPR _Tp
round_error() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The representation of positive infinity, if @c has_infinity. */
static _GLIBCXX_CONSTEXPR _Tp
infinity() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The representation of a quiet Not a Number,
if @c has_quiet_NaN. */
static _GLIBCXX_CONSTEXPR _Tp
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The representation of a signaling Not a Number, if
@c has_signaling_NaN. */
static _GLIBCXX_CONSTEXPR _Tp
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
/** The minimum positive denormalized value. For types where
@c has_denorm is false, this is the minimum positive normalized
value. */
static _GLIBCXX_CONSTEXPR _Tp
denorm_min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
};
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// 559. numeric_limits<const T>
template<typename _Tp>
struct numeric_limits<const _Tp>
: public numeric_limits<_Tp> { };
template<typename _Tp>
struct numeric_limits<volatile _Tp>
: public numeric_limits<_Tp> { };
template<typename _Tp>
struct numeric_limits<const volatile _Tp>
: public numeric_limits<_Tp> { };
// Now there follow 16 explicit specializations. Yes, 16. Make sure
// you get the count right. (18 in C++11 mode, with char16_t and char32_t.)
// (+1 if char8_t is enabled.)
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// 184. numeric_limits<bool> wording problems
/// numeric_limits<bool> specialization.
template<>
struct numeric_limits<bool>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR bool
min() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_CONSTEXPR bool
max() _GLIBCXX_USE_NOEXCEPT { return true; }
#if __cplusplus >= 201103L
static constexpr bool
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = 1;
static _GLIBCXX_USE_CONSTEXPR int digits10 = 0;
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR bool
epsilon() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_CONSTEXPR bool
round_error() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR bool
infinity() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_CONSTEXPR bool
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_CONSTEXPR bool
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_CONSTEXPR bool
denorm_min() _GLIBCXX_USE_NOEXCEPT { return false; }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
// It is not clear what it means for a boolean type to trap.
// This is a DR on the LWG issue list. Here, I use integer
// promotion semantics.
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<char> specialization.
template<>
struct numeric_limits<char>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR char
min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min(char); }
static _GLIBCXX_CONSTEXPR char
max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max(char); }
#if __cplusplus >= 201103L
static constexpr char
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (char);
static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (char);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (char);
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR char
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR char
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR
char infinity() _GLIBCXX_USE_NOEXCEPT { return char(); }
static _GLIBCXX_CONSTEXPR char
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); }
static _GLIBCXX_CONSTEXPR char
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); }
static _GLIBCXX_CONSTEXPR char
denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<char>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<signed char> specialization.
template<>
struct numeric_limits<signed char>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR signed char
min() _GLIBCXX_USE_NOEXCEPT { return -__SCHAR_MAX__ - 1; }
static _GLIBCXX_CONSTEXPR signed char
max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__; }
#if __cplusplus >= 201103L
static constexpr signed char
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (signed char);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (signed char);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR signed char
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR signed char
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR signed char
infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); }
static _GLIBCXX_CONSTEXPR signed char
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); }
static _GLIBCXX_CONSTEXPR signed char
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<signed char>(0); }
static _GLIBCXX_CONSTEXPR signed char
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<signed char>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<unsigned char> specialization.
template<>
struct numeric_limits<unsigned char>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR unsigned char
min() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned char
max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__ * 2U + 1; }
#if __cplusplus >= 201103L
static constexpr unsigned char
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (unsigned char);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (unsigned char);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR unsigned char
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned char
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR unsigned char
infinity() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned char>(0); }
static _GLIBCXX_CONSTEXPR unsigned char
quiet_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned char>(0); }
static _GLIBCXX_CONSTEXPR unsigned char
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned char>(0); }
static _GLIBCXX_CONSTEXPR unsigned char
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned char>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<wchar_t> specialization.
template<>
struct numeric_limits<wchar_t>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR wchar_t
min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (wchar_t); }
static _GLIBCXX_CONSTEXPR wchar_t
max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (wchar_t); }
#if __cplusplus >= 201103L
static constexpr wchar_t
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (wchar_t);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (wchar_t);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (wchar_t);
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR wchar_t
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR wchar_t
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR wchar_t
infinity() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
static _GLIBCXX_CONSTEXPR wchar_t
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
static _GLIBCXX_CONSTEXPR wchar_t
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
static _GLIBCXX_CONSTEXPR wchar_t
denorm_min() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
#if _GLIBCXX_USE_CHAR8_T
/// numeric_limits<char8_t> specialization.
template<>
struct numeric_limits<char8_t>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR char8_t
min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (char8_t); }
static _GLIBCXX_CONSTEXPR char8_t
max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (char8_t); }
static _GLIBCXX_CONSTEXPR char8_t
lowest() _GLIBCXX_USE_NOEXCEPT { return min(); }
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (char8_t);
static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (char8_t);
static _GLIBCXX_USE_CONSTEXPR int max_digits10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (char8_t);
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR char8_t
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR char8_t
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR char8_t
infinity() _GLIBCXX_USE_NOEXCEPT { return char8_t(); }
static _GLIBCXX_CONSTEXPR char8_t
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return char8_t(); }
static _GLIBCXX_CONSTEXPR char8_t
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return char8_t(); }
static _GLIBCXX_CONSTEXPR char8_t
denorm_min() _GLIBCXX_USE_NOEXCEPT { return char8_t(); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
#endif
#if __cplusplus >= 201103L
/// numeric_limits<char16_t> specialization.
template<>
struct numeric_limits<char16_t>
{
static constexpr bool is_specialized = true;
static constexpr char16_t
min() noexcept { return __glibcxx_min (char16_t); }
static constexpr char16_t
max() noexcept { return __glibcxx_max (char16_t); }
static constexpr char16_t
lowest() noexcept { return min(); }
static constexpr int digits = __glibcxx_digits (char16_t);
static constexpr int digits10 = __glibcxx_digits10 (char16_t);
static constexpr int max_digits10 = 0;
static constexpr bool is_signed = __glibcxx_signed (char16_t);
static constexpr bool is_integer = true;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
static constexpr char16_t
epsilon() noexcept { return 0; }
static constexpr char16_t
round_error() noexcept { return 0; }
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 char16_t
infinity() noexcept { return char16_t(); }
static constexpr char16_t
quiet_NaN() noexcept { return char16_t(); }
static constexpr char16_t
signaling_NaN() noexcept { return char16_t(); }
static constexpr char16_t
denorm_min() noexcept { return char16_t(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = !is_signed;
static constexpr bool traps = __glibcxx_integral_traps;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
/// numeric_limits<char32_t> specialization.
template<>
struct numeric_limits<char32_t>
{
static constexpr bool is_specialized = true;
static constexpr char32_t
min() noexcept { return __glibcxx_min (char32_t); }
static constexpr char32_t
max() noexcept { return __glibcxx_max (char32_t); }
static constexpr char32_t
lowest() noexcept { return min(); }
static constexpr int digits = __glibcxx_digits (char32_t);
static constexpr int digits10 = __glibcxx_digits10 (char32_t);
static constexpr int max_digits10 = 0;
static constexpr bool is_signed = __glibcxx_signed (char32_t);
static constexpr bool is_integer = true;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
static constexpr char32_t
epsilon() noexcept { return 0; }
static constexpr char32_t
round_error() noexcept { return 0; }
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 char32_t
infinity() noexcept { return char32_t(); }
static constexpr char32_t
quiet_NaN() noexcept { return char32_t(); }
static constexpr char32_t
signaling_NaN() noexcept { return char32_t(); }
static constexpr char32_t
denorm_min() noexcept { return char32_t(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = !is_signed;
static constexpr bool traps = __glibcxx_integral_traps;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
#endif
/// numeric_limits<short> specialization.
template<>
struct numeric_limits<short>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR short
min() _GLIBCXX_USE_NOEXCEPT { return -__SHRT_MAX__ - 1; }
static _GLIBCXX_CONSTEXPR short
max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__; }
#if __cplusplus >= 201103L
static constexpr short
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (short);
static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (short);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR short
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR short
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR short
infinity() _GLIBCXX_USE_NOEXCEPT { return short(); }
static _GLIBCXX_CONSTEXPR short
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); }
static _GLIBCXX_CONSTEXPR short
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); }
static _GLIBCXX_CONSTEXPR short
denorm_min() _GLIBCXX_USE_NOEXCEPT { return short(); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<unsigned short> specialization.
template<>
struct numeric_limits<unsigned short>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR unsigned short
min() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned short
max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__ * 2U + 1; }
#if __cplusplus >= 201103L
static constexpr unsigned short
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (unsigned short);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (unsigned short);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR unsigned short
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned short
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR unsigned short
infinity() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned short>(0); }
static _GLIBCXX_CONSTEXPR unsigned short
quiet_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned short>(0); }
static _GLIBCXX_CONSTEXPR unsigned short
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned short>(0); }
static _GLIBCXX_CONSTEXPR unsigned short
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned short>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<int> specialization.
template<>
struct numeric_limits<int>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR int
min() _GLIBCXX_USE_NOEXCEPT { return -__INT_MAX__ - 1; }
static _GLIBCXX_CONSTEXPR int
max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__; }
#if __cplusplus >= 201103L
static constexpr int
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (int);
static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (int);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR int
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR int
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR int
infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
static _GLIBCXX_CONSTEXPR int
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
static _GLIBCXX_CONSTEXPR int
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
static _GLIBCXX_CONSTEXPR int
denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<unsigned int> specialization.
template<>
struct numeric_limits<unsigned int>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR unsigned int
min() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned int
max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__ * 2U + 1; }
#if __cplusplus >= 201103L
static constexpr unsigned int
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (unsigned int);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (unsigned int);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR unsigned int
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned int
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR unsigned int
infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned int>(0); }
static _GLIBCXX_CONSTEXPR unsigned int
quiet_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned int>(0); }
static _GLIBCXX_CONSTEXPR unsigned int
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned int>(0); }
static _GLIBCXX_CONSTEXPR unsigned int
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned int>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<long> specialization.
template<>
struct numeric_limits<long>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR long
min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_MAX__ - 1; }
static _GLIBCXX_CONSTEXPR long
max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__; }
#if __cplusplus >= 201103L
static constexpr long
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (long);
static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (long);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR long
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR long
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR long
infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
static _GLIBCXX_CONSTEXPR long
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
static _GLIBCXX_CONSTEXPR long
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
static _GLIBCXX_CONSTEXPR long
denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<unsigned long> specialization.
template<>
struct numeric_limits<unsigned long>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR unsigned long
min() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned long
max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__ * 2UL + 1; }
#if __cplusplus >= 201103L
static constexpr unsigned long
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (unsigned long);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (unsigned long);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR unsigned long
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned long
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR unsigned long
infinity() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long
quiet_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<long long> specialization.
template<>
struct numeric_limits<long long>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR long long
min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_LONG_MAX__ - 1; }
static _GLIBCXX_CONSTEXPR long long
max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__; }
#if __cplusplus >= 201103L
static constexpr long long
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (long long);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (long long);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR long long
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR long long
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR long long
infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
static _GLIBCXX_CONSTEXPR long long
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
static _GLIBCXX_CONSTEXPR long long
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<long long>(0); }
static _GLIBCXX_CONSTEXPR long long
denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
/// numeric_limits<unsigned long long> specialization.
template<>
struct numeric_limits<unsigned long long>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR unsigned long long
min() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned long long
max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__ * 2ULL + 1; }
#if __cplusplus >= 201103L
static constexpr unsigned long long
lowest() noexcept { return min(); }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits
= __glibcxx_digits (unsigned long long);
static _GLIBCXX_USE_CONSTEXPR int digits10
= __glibcxx_digits10 (unsigned long long);
#if __cplusplus >= 201103L
static constexpr int max_digits10 = 0;
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
static _GLIBCXX_USE_CONSTEXPR int radix = 2;
static _GLIBCXX_CONSTEXPR unsigned long long
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_CONSTEXPR unsigned long long
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
static _GLIBCXX_CONSTEXPR unsigned long long
infinity() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long long
quiet_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long long
signaling_NaN() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long long>(0); }
static _GLIBCXX_CONSTEXPR unsigned long long
denorm_min() _GLIBCXX_USE_NOEXCEPT
{ return static_cast<unsigned long long>(0); }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_toward_zero;
};
#define __INT_N(TYPE, BITSIZE, EXT, UEXT) \
__extension__ \
template<> \
struct numeric_limits<TYPE> \
{ \
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; \
\
static _GLIBCXX_CONSTEXPR TYPE \
min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min_b (TYPE, BITSIZE); } \
\
static _GLIBCXX_CONSTEXPR TYPE \
max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max_b (TYPE, BITSIZE); } \
\
static _GLIBCXX_USE_CONSTEXPR int digits \
= BITSIZE - 1; \
static _GLIBCXX_USE_CONSTEXPR int digits10 \
= (BITSIZE - 1) * 643L / 2136; \
\
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; \
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; \
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; \
static _GLIBCXX_USE_CONSTEXPR int radix = 2; \
\
static _GLIBCXX_CONSTEXPR TYPE \
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } \
\
static _GLIBCXX_CONSTEXPR TYPE \
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } \
\
EXT \
\
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; \
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; \
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; \
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; \
\
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; \
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; \
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; \
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm \
= denorm_absent; \
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; \
\
static _GLIBCXX_CONSTEXPR TYPE \
infinity() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR TYPE \
quiet_NaN() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR TYPE \
signaling_NaN() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR TYPE \
denorm_min() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<TYPE>(0); } \
\
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; \
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; \
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; \
\
static _GLIBCXX_USE_CONSTEXPR bool traps \
= __glibcxx_integral_traps; \
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; \
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style \
= round_toward_zero; \
}; \
\
__extension__ \
template<> \
struct numeric_limits<unsigned TYPE> \
{ \
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
min() _GLIBCXX_USE_NOEXCEPT { return 0; } \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
max() _GLIBCXX_USE_NOEXCEPT \
{ return __glibcxx_max_b (unsigned TYPE, BITSIZE); } \
\
UEXT \
\
static _GLIBCXX_USE_CONSTEXPR int digits \
= BITSIZE; \
static _GLIBCXX_USE_CONSTEXPR int digits10 \
= BITSIZE * 643L / 2136; \
static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; \
static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; \
static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; \
static _GLIBCXX_USE_CONSTEXPR int radix = 2; \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } \
\
static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; \
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; \
static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; \
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; \
\
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; \
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; \
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; \
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm \
= denorm_absent; \
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
infinity() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<unsigned TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
quiet_NaN() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<unsigned TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
signaling_NaN() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<unsigned TYPE>(0); } \
\
static _GLIBCXX_CONSTEXPR unsigned TYPE \
denorm_min() _GLIBCXX_USE_NOEXCEPT \
{ return static_cast<unsigned TYPE>(0); } \
\
static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; \
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; \
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; \
\
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; \
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; \
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style \
= round_toward_zero; \
};
#if __cplusplus >= 201103L
#define __INT_N_201103(TYPE) \
static constexpr TYPE \
lowest() noexcept { return min(); } \
static constexpr int max_digits10 = 0;
#define __INT_N_U201103(TYPE) \
static constexpr unsigned TYPE \
lowest() noexcept { return min(); } \
static constexpr int max_digits10 = 0;
#else
#define __INT_N_201103(TYPE)
#define __INT_N_U201103(TYPE)
#endif
#if !defined(__STRICT_ANSI__)
#ifdef __GLIBCXX_TYPE_INT_N_0
__INT_N(__GLIBCXX_TYPE_INT_N_0, __GLIBCXX_BITSIZE_INT_N_0,
__INT_N_201103 (__GLIBCXX_TYPE_INT_N_0),
__INT_N_U201103 (__GLIBCXX_TYPE_INT_N_0))
#endif
#ifdef __GLIBCXX_TYPE_INT_N_1
__INT_N (__GLIBCXX_TYPE_INT_N_1, __GLIBCXX_BITSIZE_INT_N_1,
__INT_N_201103 (__GLIBCXX_TYPE_INT_N_1),
__INT_N_U201103 (__GLIBCXX_TYPE_INT_N_1))
#endif
#ifdef __GLIBCXX_TYPE_INT_N_2
__INT_N (__GLIBCXX_TYPE_INT_N_2, __GLIBCXX_BITSIZE_INT_N_2,
__INT_N_201103 (__GLIBCXX_TYPE_INT_N_2),
__INT_N_U201103 (__GLIBCXX_TYPE_INT_N_2))
#endif
#ifdef __GLIBCXX_TYPE_INT_N_3
__INT_N (__GLIBCXX_TYPE_INT_N_3, __GLIBCXX_BITSIZE_INT_N_3,
__INT_N_201103 (__GLIBCXX_TYPE_INT_N_3),
__INT_N_U201103 (__GLIBCXX_TYPE_INT_N_3))
#endif
#elif defined __STRICT_ANSI__ && defined __SIZEOF_INT128__
__INT_N(__int128, 128,
__INT_N_201103 (__int128),
__INT_N_U201103 (__int128))
#endif
#undef __INT_N
#undef __INT_N_201103
#undef __INT_N_U201103
/// numeric_limits<float> specialization.
template<>
struct numeric_limits<float>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR float
min() _GLIBCXX_USE_NOEXCEPT { return __FLT_MIN__; }
static _GLIBCXX_CONSTEXPR float
max() _GLIBCXX_USE_NOEXCEPT { return __FLT_MAX__; }
#if __cplusplus >= 201103L
static constexpr float
lowest() noexcept { return -__FLT_MAX__; }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __FLT_MANT_DIG__;
static _GLIBCXX_USE_CONSTEXPR int digits10 = __FLT_DIG__;
#if __cplusplus >= 201103L
static constexpr int max_digits10
= __glibcxx_max_digits10 (__FLT_MANT_DIG__);
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
static _GLIBCXX_CONSTEXPR float
epsilon() _GLIBCXX_USE_NOEXCEPT { return __FLT_EPSILON__; }
static _GLIBCXX_CONSTEXPR float
round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5F; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = __FLT_MIN_EXP__;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __FLT_MIN_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = __FLT_MAX_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __FLT_MAX_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __FLT_HAS_INFINITY__;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __FLT_HAS_QUIET_NAN__;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= bool(__FLT_HAS_DENORM__) ? denorm_present : denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss
= __glibcxx_float_has_denorm_loss;
static _GLIBCXX_CONSTEXPR float
infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_valf(); }
static _GLIBCXX_CONSTEXPR float
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanf(""); }
static _GLIBCXX_CONSTEXPR float
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansf(""); }
static _GLIBCXX_CONSTEXPR float
denorm_min() _GLIBCXX_USE_NOEXCEPT { return __FLT_DENORM_MIN__; }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559
= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_float_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before
= __glibcxx_float_tinyness_before;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_to_nearest;
};
#undef __glibcxx_float_has_denorm_loss
#undef __glibcxx_float_traps
#undef __glibcxx_float_tinyness_before
/// numeric_limits<double> specialization.
template<>
struct numeric_limits<double>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR double
min() _GLIBCXX_USE_NOEXCEPT { return __DBL_MIN__; }
static _GLIBCXX_CONSTEXPR double
max() _GLIBCXX_USE_NOEXCEPT { return __DBL_MAX__; }
#if __cplusplus >= 201103L
static constexpr double
lowest() noexcept { return -__DBL_MAX__; }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __DBL_MANT_DIG__;
static _GLIBCXX_USE_CONSTEXPR int digits10 = __DBL_DIG__;
#if __cplusplus >= 201103L
static constexpr int max_digits10
= __glibcxx_max_digits10 (__DBL_MANT_DIG__);
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
static _GLIBCXX_CONSTEXPR double
epsilon() _GLIBCXX_USE_NOEXCEPT { return __DBL_EPSILON__; }
static _GLIBCXX_CONSTEXPR double
round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = __DBL_MIN_EXP__;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __DBL_MIN_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = __DBL_MAX_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __DBL_MAX_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __DBL_HAS_INFINITY__;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __DBL_HAS_QUIET_NAN__;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= bool(__DBL_HAS_DENORM__) ? denorm_present : denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss
= __glibcxx_double_has_denorm_loss;
static _GLIBCXX_CONSTEXPR double
infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_val(); }
static _GLIBCXX_CONSTEXPR double
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nan(""); }
static _GLIBCXX_CONSTEXPR double
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nans(""); }
static _GLIBCXX_CONSTEXPR double
denorm_min() _GLIBCXX_USE_NOEXCEPT { return __DBL_DENORM_MIN__; }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559
= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_double_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before
= __glibcxx_double_tinyness_before;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
= round_to_nearest;
};
#undef __glibcxx_double_has_denorm_loss
#undef __glibcxx_double_traps
#undef __glibcxx_double_tinyness_before
/// numeric_limits<long double> specialization.
template<>
struct numeric_limits<long double>
{
static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
static _GLIBCXX_CONSTEXPR long double
min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MIN__; }
static _GLIBCXX_CONSTEXPR long double
max() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MAX__; }
#if __cplusplus >= 201103L
static constexpr long double
lowest() noexcept { return -__LDBL_MAX__; }
#endif
static _GLIBCXX_USE_CONSTEXPR int digits = __LDBL_MANT_DIG__;
static _GLIBCXX_USE_CONSTEXPR int digits10 = __LDBL_DIG__;
#if __cplusplus >= 201103L
static _GLIBCXX_USE_CONSTEXPR int max_digits10
= __glibcxx_max_digits10 (__LDBL_MANT_DIG__);
#endif
static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
static _GLIBCXX_CONSTEXPR long double
epsilon() _GLIBCXX_USE_NOEXCEPT { return __LDBL_EPSILON__; }
static _GLIBCXX_CONSTEXPR long double
round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5L; }
static _GLIBCXX_USE_CONSTEXPR int min_exponent = __LDBL_MIN_EXP__;
static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __LDBL_MIN_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent = __LDBL_MAX_EXP__;
static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __LDBL_MAX_10_EXP__;
static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __LDBL_HAS_INFINITY__;
static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __LDBL_HAS_QUIET_NAN__;
static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
= bool(__LDBL_HAS_DENORM__) ? denorm_present : denorm_absent;
static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss
= __glibcxx_long_double_has_denorm_loss;
static _GLIBCXX_CONSTEXPR long double
infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_vall(); }
static _GLIBCXX_CONSTEXPR long double
quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanl(""); }
static _GLIBCXX_CONSTEXPR long double
signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansl(""); }
static _GLIBCXX_CONSTEXPR long double
denorm_min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_DENORM_MIN__; }
static _GLIBCXX_USE_CONSTEXPR bool is_iec559
= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_long_double_traps;
static _GLIBCXX_USE_CONSTEXPR bool tinyness_before =
__glibcxx_long_double_tinyness_before;
static _GLIBCXX_USE_CONSTEXPR float_round_style round_style =
round_to_nearest;
};
#undef __glibcxx_long_double_has_denorm_loss
#undef __glibcxx_long_double_traps
#undef __glibcxx_long_double_tinyness_before
#if __cplusplus > 202002L
#define __glibcxx_concat3_(P,M,S) P ## M ## S
#define __glibcxx_concat3(P,M,S) __glibcxx_concat3_ (P,M,S)
#define __glibcxx_float_n(BITSIZE) \
__extension__ \
template<> \
struct numeric_limits<_Float##BITSIZE> \
{ \
static constexpr bool is_specialized = true; \
\
static constexpr _Float##BITSIZE \
min() noexcept \
{ return __glibcxx_concat3 (__FLT, BITSIZE, _MIN__); } \
\
static constexpr _Float##BITSIZE \
max() noexcept \
{ return __glibcxx_concat3 (__FLT, BITSIZE, _MAX__); } \
\
static constexpr _Float##BITSIZE \
lowest() noexcept \
{ return -__glibcxx_concat3 (__FLT, BITSIZE, _MAX__); } \
\
static constexpr int digits \
= __glibcxx_concat3 (__FLT, BITSIZE, _MANT_DIG__); \
static constexpr int digits10 \
= __glibcxx_concat3 (__FLT, BITSIZE, _DIG__); \
static constexpr int max_digits10 \
= __glibcxx_max_digits10 (__glibcxx_concat3 (__FLT, BITSIZE, \
_MANT_DIG__)); \
static constexpr bool is_signed = true; \
static constexpr bool is_integer = false; \
static constexpr bool is_exact = false; \
static constexpr int radix = __FLT_RADIX__; \
\
static constexpr _Float##BITSIZE \
epsilon() noexcept \
{ return __glibcxx_concat3 (__FLT, BITSIZE, _EPSILON__); } \
\
static constexpr _Float##BITSIZE \
round_error() noexcept { return 0.5F##BITSIZE; } \
\
static constexpr int min_exponent \
= __glibcxx_concat3 (__FLT, BITSIZE, _MIN_EXP__); \
static constexpr int min_exponent10 \
= __glibcxx_concat3 (__FLT, BITSIZE, _MIN_10_EXP__); \
static constexpr int max_exponent \
= __glibcxx_concat3 (__FLT, BITSIZE, _MAX_EXP__); \
static constexpr int max_exponent10 \
= __glibcxx_concat3 (__FLT, BITSIZE, _MAX_10_EXP__); \
\
static constexpr bool has_infinity \
= __glibcxx_concat3 (__FLT, BITSIZE, _HAS_INFINITY__); \
static constexpr bool has_quiet_NaN \
= __glibcxx_concat3 (__FLT, BITSIZE, _HAS_QUIET_NAN__); \
static constexpr bool has_signaling_NaN \
= has_quiet_NaN; \
static constexpr float_denorm_style has_denorm \
= bool(__glibcxx_concat3 (__FLT, BITSIZE, _HAS_DENORM__)) \
? denorm_present : denorm_absent; \
static constexpr bool has_denorm_loss = false; \
\
static constexpr _Float##BITSIZE \
infinity() noexcept \
{ return __builtin_huge_valf##BITSIZE(); } \
\
static constexpr _Float##BITSIZE \
quiet_NaN() noexcept \
{ return __builtin_nanf##BITSIZE(""); } \
\
static constexpr _Float##BITSIZE \
signaling_NaN() noexcept \
{ return __builtin_nansf##BITSIZE(""); } \
\
static constexpr _Float##BITSIZE \
denorm_min() noexcept \
{ return __glibcxx_concat3 (__FLT, BITSIZE, _DENORM_MIN__); } \
\
static constexpr bool is_iec559 \
= has_infinity && has_quiet_NaN && has_denorm == denorm_present;\
static constexpr bool is_bounded = true; \
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_to_nearest; \
}; \
#ifdef __STDCPP_FLOAT16_T__
__glibcxx_float_n(16)
#endif
#ifdef __STDCPP_FLOAT32_T__
__glibcxx_float_n(32)
#endif
#ifdef __STDCPP_FLOAT64_T__
__glibcxx_float_n(64)
#endif
#ifdef __STDCPP_FLOAT128_T__
__glibcxx_float_n(128)
#endif
#undef __glibcxx_float_n
#undef __glibcxx_concat3
#undef __glibcxx_concat3_
#ifdef __STDCPP_BFLOAT16_T__
__extension__
template<>
struct numeric_limits<__gnu_cxx::__bfloat16_t>
{
static constexpr bool is_specialized = true;
static constexpr __gnu_cxx::__bfloat16_t
min() noexcept
{ return __BFLT16_MIN__; }
static constexpr __gnu_cxx::__bfloat16_t
max() noexcept
{ return __BFLT16_MAX__; }
static constexpr __gnu_cxx::__bfloat16_t
lowest() noexcept
{ return -__BFLT16_MAX__; }
static constexpr int digits = __BFLT16_MANT_DIG__;
static constexpr int digits10 = __BFLT16_DIG__;
static constexpr int max_digits10
= __glibcxx_max_digits10 (__BFLT16_MANT_DIG__);
static constexpr bool is_signed = true;
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = __FLT_RADIX__;
static constexpr __gnu_cxx::__bfloat16_t
epsilon() noexcept
{ return __BFLT16_EPSILON__; }
static constexpr __gnu_cxx::__bfloat16_t
round_error() noexcept { return 0.5BF16; }
static constexpr int min_exponent = __BFLT16_MIN_EXP__;
static constexpr int min_exponent10 = __BFLT16_MIN_10_EXP__;
static constexpr int max_exponent = __BFLT16_MAX_EXP__;
static constexpr int max_exponent10 = __BFLT16_MAX_10_EXP__;
static constexpr bool has_infinity = __BFLT16_HAS_INFINITY__;
static constexpr bool has_quiet_NaN = __BFLT16_HAS_QUIET_NAN__;
static constexpr bool has_signaling_NaN = has_quiet_NaN;
static constexpr float_denorm_style has_denorm
= bool(__BFLT16_HAS_DENORM__)
? denorm_present : denorm_absent;
static constexpr bool has_denorm_loss = false;
static constexpr __gnu_cxx::__bfloat16_t
infinity() noexcept
{ return __gnu_cxx::__bfloat16_t(__builtin_huge_valf()); }
static constexpr __gnu_cxx::__bfloat16_t
quiet_NaN() noexcept
{ return __gnu_cxx::__bfloat16_t(__builtin_nanf("")); }
static constexpr __gnu_cxx::__bfloat16_t
signaling_NaN() noexcept
{ return __builtin_nansf16b(""); }
static constexpr __gnu_cxx::__bfloat16_t
denorm_min() noexcept
{ return __BFLT16_DENORM_MIN__; }
static constexpr bool is_iec559
= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
static constexpr bool is_bounded = true;
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_to_nearest;
};
#endif
#endif
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
#undef __glibcxx_signed
#undef __glibcxx_min
#undef __glibcxx_max
#undef __glibcxx_digits
#undef __glibcxx_digits10
#undef __glibcxx_max_digits10
#endif // _GLIBCXX_NUMERIC_LIMITS
c++config.h
std
ISO C++ entities toplevel namespace is std.
std::float_round_style
float_round_style
Describes the rounding style for floating-point types.
Definition limits:168
std::round_toward_zero
@ round_toward_zero
To zero.
Definition limits:170
std::round_toward_infinity
@ round_toward_infinity
To infinity.
Definition limits:172
std::round_to_nearest
@ round_to_nearest
To the nearest representable value.
Definition limits:171
std::round_toward_neg_infinity
@ round_toward_neg_infinity
To negative infinity.
Definition limits:173
std::round_indeterminate
@ round_indeterminate
Intermediate.
Definition limits:169
std::float_denorm_style
float_denorm_style
Describes the denormalization for floating-point types.
Definition limits:183
std::denorm_present
@ denorm_present
The type allows denormalized values.
Definition limits:189
std::denorm_indeterminate
@ denorm_indeterminate
Indeterminate at compile time whether denormalized values are allowed.
Definition limits:185
std::denorm_absent
@ denorm_absent
The type does not allow denormalized values.
Definition limits:187
__gnu_cxx
GNU extensions for public use.
std::__numeric_limits_base
Part of std::numeric_limits.
Definition limits:203
std::__numeric_limits_base::is_modulo
static constexpr bool is_modulo
Definition limits:288
std::__numeric_limits_base::has_quiet_NaN
static constexpr bool has_quiet_NaN
Definition limits:259
std::__numeric_limits_base::is_integer
static constexpr bool is_integer
Definition limits:226
std::__numeric_limits_base::max_digits10
static constexpr int max_digits10
Definition limits:219
std::__numeric_limits_base::min_exponent
static constexpr int min_exponent
Definition limits:239
std::__numeric_limits_base::digits
static constexpr int digits
Definition limits:211
std::__numeric_limits_base::is_bounded
static constexpr bool is_bounded
Definition limits:279
std::__numeric_limits_base::has_denorm_loss
static constexpr bool has_denorm_loss
Definition limits:270
std::__numeric_limits_base::is_iec559
static constexpr bool is_iec559
Definition limits:274
std::__numeric_limits_base::is_exact
static constexpr bool is_exact
Definition limits:231
std::__numeric_limits_base::traps
static constexpr bool traps
Definition limits:291
std::__numeric_limits_base::has_signaling_NaN
static constexpr bool has_signaling_NaN
Definition limits:263
std::__numeric_limits_base::is_specialized
static constexpr bool is_specialized
Definition limits:206
std::__numeric_limits_base::max_exponent
static constexpr int max_exponent
Definition limits:248
std::__numeric_limits_base::is_signed
static constexpr bool is_signed
Definition limits:223
std::__numeric_limits_base::digits10
static constexpr int digits10
Definition limits:214
std::__numeric_limits_base::min_exponent10
static constexpr int min_exponent10
Definition limits:243
std::__numeric_limits_base::tinyness_before
static constexpr bool tinyness_before
Definition limits:294
std::__numeric_limits_base::round_style
static constexpr float_round_style round_style
Definition limits:299
std::__numeric_limits_base::has_infinity
static constexpr bool has_infinity
Definition limits:255
std::__numeric_limits_base::radix
static constexpr int radix
Definition limits:235
std::__numeric_limits_base::max_exponent10
static constexpr int max_exponent10
Definition limits:252
std::__numeric_limits_base::has_denorm
static constexpr float_denorm_style has_denorm
Definition limits:266
std::numeric_limits
Properties of fundamental types.
Definition limits:313
std::numeric_limits::max
static constexpr _Tp max() noexcept
Definition limits:321
std::numeric_limits::epsilon
static constexpr _Tp epsilon() noexcept
Definition limits:333
std::numeric_limits::quiet_NaN
static constexpr _Tp quiet_NaN() noexcept
Definition limits:346
std::numeric_limits::lowest
static constexpr _Tp lowest() noexcept
Definition limits:327
std::numeric_limits::min
static constexpr _Tp min() noexcept
Definition limits:317
std::numeric_limits::denorm_min
static constexpr _Tp denorm_min() noexcept
Definition limits:357
std::numeric_limits::infinity
static constexpr _Tp infinity() noexcept
Definition limits:341
std::numeric_limits::round_error
static constexpr _Tp round_error() noexcept
Definition limits:337
std::numeric_limits::signaling_NaN
static constexpr _Tp signaling_NaN() noexcept
Definition limits:351