| // The template and inlines for the -*- C++ -*- numeric_limits classes. |
| |
| // Copyright (C) 1999, 2000, 2001, 2002, 2003 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 2, 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. |
| |
| // You should have received a copy of the GNU General Public License along |
| // with this library; see the file COPYING. If not, write to the Free |
| // Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, |
| // USA. |
| |
| // As a special exception, you may use this file as part of a free software |
| // library without restriction. Specifically, if other files instantiate |
| // templates or use macros or inline functions from this file, or you compile |
| // this file and link it with other files to produce an executable, this |
| // file does not by itself cause the resulting executable to be covered by |
| // the GNU General Public License. This exception does not however |
| // invalidate any other reasons why the executable file might be covered by |
| // the GNU General Public License. |
| |
| // Note: this is not a conforming implementation. |
| // Written by Gabriel Dos Reis <gdr@codesourcery.com> |
| |
| // |
| // ISO 14882:1998 |
| // 18.2.1 |
| // |
| |
| /** @file limits |
| * This is a Standard C++ Library header. You should @c #include this header |
| * in your programs, rather than any of the "st[dl]_*.h" implementation files. |
| */ |
| |
| #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 13 such types: |
| // * integers |
| // bool (1) |
| // char, signed char, unsigned char (3) |
| // short, unsigned short (2) |
| // int, unsigned (2) |
| // long, unsigned long (2) |
| // |
| // * floating points |
| // float (1) |
| // double (1) |
| // long double (1) |
| // |
| // GNU C++ undertstands (where supported by the host C-library) |
| // * integer |
| // long long, unsigned long long (2) |
| // |
| // which brings us to 15 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 intrinsicly 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 overriden 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 overriden 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 overriden 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(T) ((T)(-1) < 0) |
| |
| #define __glibcxx_min(T) \ |
| (__glibcxx_signed (T) ? (T)1 << __glibcxx_digits (T) : (T)0) |
| |
| #define __glibcxx_max(T) \ |
| (__glibcxx_signed (T) ? ((T)1 << __glibcxx_digits (T)) - 1 : ~(T)0) |
| |
| #define __glibcxx_digits(T) \ |
| (sizeof(T) * __CHAR_BIT__ - __glibcxx_signed (T)) |
| |
| // The fraction 643/2136 approximates log10(2) to 7 significant digits. |
| #define __glibcxx_digits10(T) \ |
| (__glibcxx_digits (T) * 643 / 2136) |
| |
| |
| namespace std |
| { |
| /** |
| * @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, ///< Self-explanatory. |
| round_toward_zero = 0, ///< Self-explanatory. |
| round_to_nearest = 1, ///< To the nearest representable value. |
| round_toward_infinity = 2, ///< Self-explanatory. |
| round_toward_neg_infinity = 3 ///< Self-explanatory. |
| }; |
| |
| /** |
| * @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 seperate 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 const 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 const int digits = 0; |
| /** The number of base 10 digits that can be represented without change. */ |
| static const int digits10 = 0; |
| /** True if the type is signed. */ |
| static const bool is_signed = false; |
| /** True if the type is integer. |
| * @if maint |
| * Is this supposed to be "if the type is integral"? |
| * @endif |
| */ |
| static const 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." |
| [18.2.1.2]/15 */ |
| static const bool is_exact = false; |
| /** For integer types, specifies the base of the representation. For |
| floating types, specifies the base of the exponent representation. */ |
| static const 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 const 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 const 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 const 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 const int max_exponent10 = 0; |
| |
| /** True if the type has a representation for positive infinity. */ |
| static const bool has_infinity = false; |
| /** True if the type has a representation for a quiet (non-signaling) |
| "Not a Number." */ |
| static const bool has_quiet_NaN = false; |
| /** True if the type has a representation for a signaling |
| "Not a Number." */ |
| static const bool has_signaling_NaN = false; |
| /** See std::float_denorm_style for more information. */ |
| static const float_denorm_style has_denorm = denorm_absent; |
| /** "True if loss of accuracy is detected as a denormalization loss, |
| rather than as an inexact result." [18.2.1.2]/42 */ |
| static const 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 const 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." [18.2.1.2]/54 */ |
| static const bool is_bounded = false; |
| /** True if the type is @e modulo, that is, if it is possible to add two |
| positive numbers and have a result that wraps around to a third number |
| that is less. Typically false for floating types, true for unsigned |
| integers, and true for signed integers. */ |
| static const bool is_modulo = false; |
| |
| /** True if trapping is implemented for this type. */ |
| static const bool traps = false; |
| /** True if tinyness is detected before rounding. (see IEC 559) */ |
| static const 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 const 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. |
| * |
| * @if maint |
| * _GLIBCXX_RESOLVE_LIB_DEFECTS: DRs 201 and 184 (hi Gaby!) are |
| * noted, but not incorporated in this documented (yet). |
| * @endif |
| */ |
| 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 _Tp min() throw() { return static_cast<_Tp>(0); } |
| /** The maximum finite value. */ |
| static _Tp max() throw() { return static_cast<_Tp>(0); } |
| /** The @e machine @e epsilon: the difference between 1 and the least |
| value greater than 1 that is representable. */ |
| static _Tp epsilon() throw() { return static_cast<_Tp>(0); } |
| /** The maximum rounding error measurement (see LIA-1). */ |
| static _Tp round_error() throw() { return static_cast<_Tp>(0); } |
| /** The representation of positive infinity, if @c has_infinity. */ |
| static _Tp infinity() throw() { return static_cast<_Tp>(0); } |
| /** The representation of a quiet "Not a Number," if @c has_quiet_NaN. */ |
| static _Tp quiet_NaN() throw() { return static_cast<_Tp>(0); } |
| /** The representation of a signaling "Not a Number," if |
| @c has_signaling_NaN. */ |
| static _Tp signaling_NaN() throw() { return static_cast<_Tp>(0); } |
| /** The minimum positive denormalized value. For types where |
| @c has_denorm is false, this is the minimum positive normalized |
| value. */ |
| static _Tp denorm_min() throw() { return static_cast<_Tp>(0); } |
| }; |
| |
| // Now there follow 15 explicit specializations. Yes, 15. Make sure |
| // you get the count right. |
| template<> |
| struct numeric_limits<bool> |
| { |
| static const bool is_specialized = true; |
| |
| static bool min() throw() |
| { return false; } |
| static bool max() throw() |
| { return true; } |
| |
| static const int digits = 1; |
| static const int digits10 = 0; |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static bool epsilon() throw() |
| { return false; } |
| static bool round_error() throw() |
| { return false; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static bool infinity() throw() |
| { return false; } |
| static bool quiet_NaN() throw() |
| { return false; } |
| static bool signaling_NaN() throw() |
| { return false; } |
| static bool denorm_min() throw() |
| { return false; } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const 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 const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<char> |
| { |
| static const bool is_specialized = true; |
| |
| static char min() throw() |
| { return __glibcxx_min(char); } |
| static char max() throw() |
| { return __glibcxx_max(char); } |
| |
| static const int digits = __glibcxx_digits (char); |
| static const int digits10 = __glibcxx_digits10 (char); |
| static const bool is_signed = __glibcxx_signed (char); |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static char epsilon() throw() |
| { return 0; } |
| static char round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static char infinity() throw() |
| { return char(); } |
| static char quiet_NaN() throw() |
| { return char(); } |
| static char signaling_NaN() throw() |
| { return char(); } |
| static char denorm_min() throw() |
| { return static_cast<char>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<signed char> |
| { |
| static const bool is_specialized = true; |
| |
| static signed char min() throw() |
| { return -__SCHAR_MAX__ - 1; } |
| static signed char max() throw() |
| { return __SCHAR_MAX__; } |
| |
| static const int digits = __glibcxx_digits (signed char); |
| static const int digits10 = __glibcxx_digits10 (signed char); |
| static const bool is_signed = true; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static signed char epsilon() throw() |
| { return 0; } |
| static signed char round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static signed char infinity() throw() |
| { return static_cast<signed char>(0); } |
| static signed char quiet_NaN() throw() |
| { return static_cast<signed char>(0); } |
| static signed char signaling_NaN() throw() |
| { return static_cast<signed char>(0); } |
| static signed char denorm_min() throw() |
| { return static_cast<signed char>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<unsigned char> |
| { |
| static const bool is_specialized = true; |
| |
| static unsigned char min() throw() |
| { return 0; } |
| static unsigned char max() throw() |
| { return __SCHAR_MAX__ * 2U + 1; } |
| |
| static const int digits = __glibcxx_digits (unsigned char); |
| static const int digits10 = __glibcxx_digits10 (unsigned char); |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static unsigned char epsilon() throw() |
| { return 0; } |
| static unsigned char round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static unsigned char infinity() throw() |
| { return static_cast<unsigned char>(0); } |
| static unsigned char quiet_NaN() throw() |
| { return static_cast<unsigned char>(0); } |
| static unsigned char signaling_NaN() throw() |
| { return static_cast<unsigned char>(0); } |
| static unsigned char denorm_min() throw() |
| { return static_cast<unsigned char>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<wchar_t> |
| { |
| static const bool is_specialized = true; |
| |
| static wchar_t min() throw() |
| { return __glibcxx_min (wchar_t); } |
| static wchar_t max() throw() |
| { return __glibcxx_max (wchar_t); } |
| |
| static const int digits = __glibcxx_digits (wchar_t); |
| static const int digits10 = __glibcxx_digits10 (wchar_t); |
| static const bool is_signed = __glibcxx_signed (wchar_t); |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static wchar_t epsilon() throw() |
| { return 0; } |
| static wchar_t round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static wchar_t infinity() throw() |
| { return wchar_t(); } |
| static wchar_t quiet_NaN() throw() |
| { return wchar_t(); } |
| static wchar_t signaling_NaN() throw() |
| { return wchar_t(); } |
| static wchar_t denorm_min() throw() |
| { return wchar_t(); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<short> |
| { |
| static const bool is_specialized = true; |
| |
| static short min() throw() |
| { return -__SHRT_MAX__ - 1; } |
| static short max() throw() |
| { return __SHRT_MAX__; } |
| |
| static const int digits = __glibcxx_digits (short); |
| static const int digits10 = __glibcxx_digits10 (short); |
| static const bool is_signed = true; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static short epsilon() throw() |
| { return 0; } |
| static short round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static short infinity() throw() |
| { return short(); } |
| static short quiet_NaN() throw() |
| { return short(); } |
| static short signaling_NaN() throw() |
| { return short(); } |
| static short denorm_min() throw() |
| { return short(); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<unsigned short> |
| { |
| static const bool is_specialized = true; |
| |
| static unsigned short min() throw() |
| { return 0; } |
| static unsigned short max() throw() |
| { return __SHRT_MAX__ * 2U + 1; } |
| |
| static const int digits = __glibcxx_digits (unsigned short); |
| static const int digits10 = __glibcxx_digits10 (unsigned short); |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static unsigned short epsilon() throw() |
| { return 0; } |
| static unsigned short round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static unsigned short infinity() throw() |
| { return static_cast<unsigned short>(0); } |
| static unsigned short quiet_NaN() throw() |
| { return static_cast<unsigned short>(0); } |
| static unsigned short signaling_NaN() throw() |
| { return static_cast<unsigned short>(0); } |
| static unsigned short denorm_min() throw() |
| { return static_cast<unsigned short>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<int> |
| { |
| static const bool is_specialized = true; |
| |
| static int min() throw() |
| { return -__INT_MAX__ - 1; } |
| static int max() throw() |
| { return __INT_MAX__; } |
| |
| static const int digits = __glibcxx_digits (int); |
| static const int digits10 = __glibcxx_digits10 (int); |
| static const bool is_signed = true; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static int epsilon() throw() |
| { return 0; } |
| static int round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static int infinity() throw() |
| { return static_cast<int>(0); } |
| static int quiet_NaN() throw() |
| { return static_cast<int>(0); } |
| static int signaling_NaN() throw() |
| { return static_cast<int>(0); } |
| static int denorm_min() throw() |
| { return static_cast<int>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<unsigned int> |
| { |
| static const bool is_specialized = true; |
| |
| static unsigned int min() throw() |
| { return 0; } |
| static unsigned int max() throw() |
| { return __INT_MAX__ * 2U + 1; } |
| |
| static const int digits = __glibcxx_digits (unsigned int); |
| static const int digits10 = __glibcxx_digits10 (unsigned int); |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static unsigned int epsilon() throw() |
| { return 0; } |
| static unsigned int round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static unsigned int infinity() throw() |
| { return static_cast<unsigned int>(0); } |
| static unsigned int quiet_NaN() throw() |
| { return static_cast<unsigned int>(0); } |
| static unsigned int signaling_NaN() throw() |
| { return static_cast<unsigned int>(0); } |
| static unsigned int denorm_min() throw() |
| { return static_cast<unsigned int>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<long> |
| { |
| static const bool is_specialized = true; |
| |
| static long min() throw() |
| { return -__LONG_MAX__ - 1; } |
| static long max() throw() |
| { return __LONG_MAX__; } |
| |
| static const int digits = __glibcxx_digits (long); |
| static const int digits10 = __glibcxx_digits10 (long); |
| static const bool is_signed = true; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static long epsilon() throw() |
| { return 0; } |
| static long round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static long infinity() throw() |
| { return static_cast<long>(0); } |
| static long quiet_NaN() throw() |
| { return static_cast<long>(0); } |
| static long signaling_NaN() throw() |
| { return static_cast<long>(0); } |
| static long denorm_min() throw() |
| { return static_cast<long>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<unsigned long> |
| { |
| static const bool is_specialized = true; |
| |
| static unsigned long min() throw() |
| { return 0; } |
| static unsigned long max() throw() |
| { return __LONG_MAX__ * 2UL + 1; } |
| |
| static const int digits = __glibcxx_digits (unsigned long); |
| static const int digits10 = __glibcxx_digits10 (unsigned long); |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static unsigned long epsilon() throw() |
| { return 0; } |
| static unsigned long round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static unsigned long infinity() throw() |
| { return static_cast<unsigned long>(0); } |
| static unsigned long quiet_NaN() throw() |
| { return static_cast<unsigned long>(0); } |
| static unsigned long signaling_NaN() throw() |
| { return static_cast<unsigned long>(0); } |
| static unsigned long denorm_min() throw() |
| { return static_cast<unsigned long>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<long long> |
| { |
| static const bool is_specialized = true; |
| |
| static long long min() throw() |
| { return -__LONG_LONG_MAX__ - 1; } |
| static long long max() throw() |
| { return __LONG_LONG_MAX__; } |
| |
| static const int digits = __glibcxx_digits (long long); |
| static const int digits10 = __glibcxx_digits10 (long long); |
| static const bool is_signed = true; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static long long epsilon() throw() |
| { return 0; } |
| static long long round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static long long infinity() throw() |
| { return static_cast<long long>(0); } |
| static long long quiet_NaN() throw() |
| { return static_cast<long long>(0); } |
| static long long signaling_NaN() throw() |
| { return static_cast<long long>(0); } |
| static long long denorm_min() throw() |
| { return static_cast<long long>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<unsigned long long> |
| { |
| static const bool is_specialized = true; |
| |
| static unsigned long long min() throw() |
| { return 0; } |
| static unsigned long long max() throw() |
| { return __LONG_LONG_MAX__ * 2ULL + 1; } |
| |
| static const int digits = __glibcxx_digits (unsigned long long); |
| static const int digits10 = __glibcxx_digits10 (unsigned long long); |
| static const bool is_signed = false; |
| static const bool is_integer = true; |
| static const bool is_exact = true; |
| static const int radix = 2; |
| static unsigned long long epsilon() throw() |
| { return 0; } |
| static unsigned long long round_error() throw() |
| { return 0; } |
| |
| static const int min_exponent = 0; |
| static const int min_exponent10 = 0; |
| static const int max_exponent = 0; |
| static const int max_exponent10 = 0; |
| |
| static const bool has_infinity = false; |
| static const bool has_quiet_NaN = false; |
| static const bool has_signaling_NaN = false; |
| static const float_denorm_style has_denorm = denorm_absent; |
| static const bool has_denorm_loss = false; |
| |
| static unsigned long long infinity() throw() |
| { return static_cast<unsigned long long>(0); } |
| static unsigned long long quiet_NaN() throw() |
| { return static_cast<unsigned long long>(0); } |
| static unsigned long long signaling_NaN() throw() |
| { return static_cast<unsigned long long>(0); } |
| static unsigned long long denorm_min() throw() |
| { return static_cast<unsigned long long>(0); } |
| |
| static const bool is_iec559 = false; |
| static const bool is_bounded = true; |
| static const bool is_modulo = true; |
| |
| static const bool traps = __glibcxx_integral_traps; |
| static const bool tinyness_before = false; |
| static const float_round_style round_style = round_toward_zero; |
| }; |
| |
| template<> |
| struct numeric_limits<float> |
| { |
| static const bool is_specialized = true; |
| |
| static float min() throw() |
| { return __FLT_MIN__; } |
| static float max() throw() |
| { return __FLT_MAX__; } |
| |
| static const int digits = __FLT_MANT_DIG__; |
| static const int digits10 = __FLT_DIG__; |
| static const bool is_signed = true; |
| static const bool is_integer = false; |
| static const bool is_exact = false; |
| static const int radix = __FLT_RADIX__; |
| static float epsilon() throw() |
| { return __FLT_EPSILON__; } |
| static float round_error() throw() |
| { return 0.5F; } |
| |
| static const int min_exponent = __FLT_MIN_EXP__; |
| static const int min_exponent10 = __FLT_MIN_10_EXP__; |
| static const int max_exponent = __FLT_MAX_EXP__; |
| static const int max_exponent10 = __FLT_MAX_10_EXP__; |
| |
| static const bool has_infinity = __FLT_HAS_INFINITY__; |
| static const bool has_quiet_NaN = __FLT_HAS_QUIET_NAN__; |
| static const bool has_signaling_NaN = has_quiet_NaN; |
| static const float_denorm_style has_denorm |
| = __FLT_DENORM_MIN__ ? denorm_present : denorm_absent; |
| static const bool has_denorm_loss = __glibcxx_float_has_denorm_loss; |
| |
| static float infinity() throw() |
| { return __builtin_huge_valf (); } |
| static float quiet_NaN() throw() |
| { return __builtin_nanf (""); } |
| static float signaling_NaN() throw() |
| { return __builtin_nansf (""); } |
| static float denorm_min() throw() |
| { return __FLT_DENORM_MIN__; } |
| |
| static const bool is_iec559 |
| = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
| static const bool is_bounded = true; |
| static const bool is_modulo = false; |
| |
| static const bool traps = __glibcxx_float_traps; |
| static const bool tinyness_before = __glibcxx_float_tinyness_before; |
| static const float_round_style round_style = round_to_nearest; |
| }; |
| |
| #undef __glibcxx_float_has_denorm_loss |
| #undef __glibcxx_float_traps |
| #undef __glibcxx_float_tinyness_before |
| |
| template<> |
| struct numeric_limits<double> |
| { |
| static const bool is_specialized = true; |
| |
| static double min() throw() |
| { return __DBL_MIN__; } |
| static double max() throw() |
| { return __DBL_MAX__; } |
| |
| static const int digits = __DBL_MANT_DIG__; |
| static const int digits10 = __DBL_DIG__; |
| static const bool is_signed = true; |
| static const bool is_integer = false; |
| static const bool is_exact = false; |
| static const int radix = __FLT_RADIX__; |
| static double epsilon() throw() |
| { return __DBL_EPSILON__; } |
| static double round_error() throw() |
| { return 0.5; } |
| |
| static const int min_exponent = __DBL_MIN_EXP__; |
| static const int min_exponent10 = __DBL_MIN_10_EXP__; |
| static const int max_exponent = __DBL_MAX_EXP__; |
| static const int max_exponent10 = __DBL_MAX_10_EXP__; |
| |
| static const bool has_infinity = __DBL_HAS_INFINITY__; |
| static const bool has_quiet_NaN = __DBL_HAS_QUIET_NAN__; |
| static const bool has_signaling_NaN = has_quiet_NaN; |
| static const float_denorm_style has_denorm |
| = __DBL_DENORM_MIN__ ? denorm_present : denorm_absent; |
| static const bool has_denorm_loss = __glibcxx_double_has_denorm_loss; |
| |
| static double infinity() throw() |
| { return __builtin_huge_val(); } |
| static double quiet_NaN() throw() |
| { return __builtin_nan (""); } |
| static double signaling_NaN() throw() |
| { return __builtin_nans (""); } |
| static double denorm_min() throw() |
| { return __DBL_DENORM_MIN__; } |
| |
| static const bool is_iec559 |
| = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
| static const bool is_bounded = true; |
| static const bool is_modulo = false; |
| |
| static const bool traps = __glibcxx_double_traps; |
| static const bool tinyness_before = __glibcxx_double_tinyness_before; |
| static const float_round_style round_style = round_to_nearest; |
| }; |
| |
| #undef __glibcxx_double_has_denorm_loss |
| #undef __glibcxx_double_traps |
| #undef __glibcxx_double_tinyness_before |
| |
| template<> |
| struct numeric_limits<long double> |
| { |
| static const bool is_specialized = true; |
| |
| static long double min() throw() |
| { return __LDBL_MIN__; } |
| static long double max() throw() |
| { return __LDBL_MAX__; } |
| |
| static const int digits = __LDBL_MANT_DIG__; |
| static const int digits10 = __LDBL_DIG__; |
| static const bool is_signed = true; |
| static const bool is_integer = false; |
| static const bool is_exact = false; |
| static const int radix = __FLT_RADIX__; |
| static long double epsilon() throw() |
| { return __LDBL_EPSILON__; } |
| static long double round_error() throw() |
| { return 0.5L; } |
| |
| static const int min_exponent = __LDBL_MIN_EXP__; |
| static const int min_exponent10 = __LDBL_MIN_10_EXP__; |
| static const int max_exponent = __LDBL_MAX_EXP__; |
| static const int max_exponent10 = __LDBL_MAX_10_EXP__; |
| |
| static const bool has_infinity = __LDBL_HAS_INFINITY__; |
| static const bool has_quiet_NaN = __LDBL_HAS_QUIET_NAN__; |
| static const bool has_signaling_NaN = has_quiet_NaN; |
| static const float_denorm_style has_denorm |
| = __LDBL_DENORM_MIN__ ? denorm_present : denorm_absent; |
| static const bool has_denorm_loss |
| = __glibcxx_long_double_has_denorm_loss; |
| |
| static long double infinity() throw() |
| { return __builtin_huge_vall (); } |
| static long double quiet_NaN() throw() |
| { return __builtin_nanl (""); } |
| static long double signaling_NaN() throw() |
| { return __builtin_nansl (""); } |
| static long double denorm_min() throw() |
| { return __LDBL_DENORM_MIN__; } |
| |
| static const bool is_iec559 |
| = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
| static const bool is_bounded = true; |
| static const bool is_modulo = false; |
| |
| static const bool traps = __glibcxx_long_double_traps; |
| static const bool tinyness_before = __glibcxx_long_double_tinyness_before; |
| static const 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 |
| |
| } // namespace std |
| |
| #undef __glibcxx_signed |
| #undef __glibcxx_min |
| #undef __glibcxx_max |
| #undef __glibcxx_digits |
| #undef __glibcxx_digits10 |
| |
| #endif // _GLIBCXX_NUMERIC_LIMITS |