|  | // The template and inlines for the numeric_limits classes. -*- C++ -*- | 
|  |  | 
|  | // Copyright (C) 1999-2016 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. | 
|  | * | 
|  | *  _GLIBCXX_RESOLVE_LIB_DEFECTS:  DRs 201 and 184 (hi Gaby!) are | 
|  | *  noted, but not incorporated in this documented (yet). | 
|  | */ | 
|  | 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(); } | 
|  | }; | 
|  |  | 
|  | #if __cplusplus >= 201103L | 
|  | 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> { }; | 
|  | #endif | 
|  |  | 
|  | // Now there follow 16 explicit specializations.  Yes, 16.  Make sure | 
|  | // you get the count right. (18 in c++0x mode) | 
|  |  | 
|  | /// 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 |