// The template and inlines for the numeric_limits classes. -*- C++ -*- // Copyright (C) 1999-2018 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.) // _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 __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; }; #if !defined(__STRICT_ANSI__) #define __INT_N(TYPE, BITSIZE, EXT, UEXT) \ 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; \ }; \ \ 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 #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 #undef __INT_N #undef __INT_N_201103 #undef __INT_N_U201103 #endif /// 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 _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