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Diffstat (limited to 'aarch64-none-linux-gnu/include/c++/13.2.1/limits')
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diff --git a/aarch64-none-linux-gnu/include/c++/13.2.1/limits b/aarch64-none-linux-gnu/include/c++/13.2.1/limits new file mode 100644 index 0000000..8bafd6f --- /dev/null +++ b/aarch64-none-linux-gnu/include/c++/13.2.1/limits @@ -0,0 +1,2086 @@ +// 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 |