1144 lines
41 KiB
C++
1144 lines
41 KiB
C++
// The template and inlines for the -*- C++ -*- numeric_limits classes.
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// Copyright (C) 1999, 2000, 2001, 2002, 2003 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 2, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING. If not, write to the Free
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// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
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// USA.
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// As a special exception, you may use this file as part of a free software
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// library without restriction. Specifically, if other files instantiate
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// templates or use macros or inline functions from this file, or you compile
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// this file and link it with other files to produce an executable, this
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// file does not by itself cause the resulting executable to be covered by
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// the GNU General Public License. This exception does not however
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// invalidate any other reasons why the executable file might be covered by
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// the GNU General Public License.
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// Note: this is not a conforming implementation.
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// Written by Gabriel Dos Reis <gdr@codesourcery.com>
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//
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// ISO 14882:1998
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// 18.2.1
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//
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/** @file limits
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* This is a Standard C++ Library header. You should @c #include this header
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* in your programs, rather than any of the "st[dl]_*.h" implementation files.
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*/
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#ifndef _GLIBCXX_NUMERIC_LIMITS
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#define _GLIBCXX_NUMERIC_LIMITS 1
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#pragma GCC system_header
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#include <bits/c++config.h>
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//
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// The numeric_limits<> traits document implementation-defined aspects
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// of fundamental arithmetic data types (integers and floating points).
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// From Standard C++ point of view, there are 13 such types:
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// * integers
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// bool (1)
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// char, signed char, unsigned char (3)
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// short, unsigned short (2)
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// int, unsigned (2)
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// long, unsigned long (2)
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//
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// * floating points
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// float (1)
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// double (1)
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// long double (1)
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//
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// GNU C++ undertstands (where supported by the host C-library)
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// * integer
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// long long, unsigned long long (2)
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//
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// which brings us to 15 fundamental arithmetic data types in GNU C++.
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//
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//
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// Since a numeric_limits<> is a bit tricky to get right, we rely on
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// an interface composed of macros which should be defined in config/os
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// or config/cpu when they differ from the generic (read arbitrary)
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// definitions given here.
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//
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// These values can be overridden in the target configuration file.
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// The default values are appropriate for many 32-bit targets.
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// GCC only intrinsicly supports modulo integral types. The only remaining
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// integral exceptional values is division by zero. Only targets that do not
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// signal division by zero in some "hard to ignore" way should use false.
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#ifndef __glibcxx_integral_traps
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# define __glibcxx_integral_traps true
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#endif
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// float
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//
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// Default values. Should be overriden in configuration files if necessary.
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#ifndef __glibcxx_float_has_denorm_loss
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# define __glibcxx_float_has_denorm_loss false
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#endif
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#ifndef __glibcxx_float_traps
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# define __glibcxx_float_traps false
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#endif
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#ifndef __glibcxx_float_tinyness_before
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# define __glibcxx_float_tinyness_before false
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#endif
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// double
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// Default values. Should be overriden in configuration files if necessary.
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#ifndef __glibcxx_double_has_denorm_loss
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# define __glibcxx_double_has_denorm_loss false
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#endif
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#ifndef __glibcxx_double_traps
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# define __glibcxx_double_traps false
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#endif
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#ifndef __glibcxx_double_tinyness_before
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# define __glibcxx_double_tinyness_before false
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#endif
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// long double
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// Default values. Should be overriden in configuration files if necessary.
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#ifndef __glibcxx_long_double_has_denorm_loss
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# define __glibcxx_long_double_has_denorm_loss false
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#endif
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#ifndef __glibcxx_long_double_traps
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# define __glibcxx_long_double_traps false
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#endif
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#ifndef __glibcxx_long_double_tinyness_before
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# define __glibcxx_long_double_tinyness_before false
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#endif
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// You should not need to define any macros below this point.
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#define __glibcxx_signed(T) ((T)(-1) < 0)
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#define __glibcxx_min(T) \
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(__glibcxx_signed (T) ? (T)1 << __glibcxx_digits (T) : (T)0)
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#define __glibcxx_max(T) \
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(__glibcxx_signed (T) ? ((T)1 << __glibcxx_digits (T)) - 1 : ~(T)0)
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#define __glibcxx_digits(T) \
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(sizeof(T) * __CHAR_BIT__ - __glibcxx_signed (T))
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// The fraction 643/2136 approximates log10(2) to 7 significant digits.
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#define __glibcxx_digits10(T) \
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(__glibcxx_digits (T) * 643 / 2136)
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namespace std
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{
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/**
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* @brief Describes the rounding style for floating-point types.
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*
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* This is used in the std::numeric_limits class.
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*/
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enum float_round_style
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{
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round_indeterminate = -1, ///< Self-explanatory.
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round_toward_zero = 0, ///< Self-explanatory.
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round_to_nearest = 1, ///< To the nearest representable value.
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round_toward_infinity = 2, ///< Self-explanatory.
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round_toward_neg_infinity = 3 ///< Self-explanatory.
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};
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/**
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* @brief Describes the denormalization for floating-point types.
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*
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* These values represent the presence or absence of a variable number
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* of exponent bits. This type is used in the std::numeric_limits class.
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*/
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enum float_denorm_style
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{
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/// Indeterminate at compile time whether denormalized values are allowed.
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denorm_indeterminate = -1,
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/// The type does not allow denormalized values.
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denorm_absent = 0,
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/// The type allows denormalized values.
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denorm_present = 1
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};
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/**
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* @brief Part of std::numeric_limits.
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*
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* The @c static @c const members are usable as integral constant
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* expressions.
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*
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* @note This is a seperate class for purposes of efficiency; you
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* should only access these members as part of an instantiation
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* of the std::numeric_limits class.
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*/
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struct __numeric_limits_base
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{
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/** This will be true for all fundamental types (which have
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specializations), and false for everything else. */
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static const bool is_specialized = false;
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/** The number of @c radix digits that be represented without change: for
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integer types, the number of non-sign bits in the mantissa; for
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floating types, the number of @c radix digits in the mantissa. */
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static const int digits = 0;
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/** The number of base 10 digits that can be represented without change. */
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static const int digits10 = 0;
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/** True if the type is signed. */
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static const bool is_signed = false;
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/** True if the type is integer.
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* @if maint
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* Is this supposed to be "if the type is integral"?
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* @endif
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*/
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static const bool is_integer = false;
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/** True if the type uses an exact representation. "All integer types are
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exact, but not all exact types are integer. For example, rational and
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fixed-exponent representations are exact but not integer."
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[18.2.1.2]/15 */
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static const bool is_exact = false;
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/** For integer types, specifies the base of the representation. For
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floating types, specifies the base of the exponent representation. */
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static const int radix = 0;
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/** The minimum negative integer such that @c radix raised to the power of
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(one less than that integer) is a normalized floating point number. */
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static const int min_exponent = 0;
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/** The minimum negative integer such that 10 raised to that power is in
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the range of normalized floating point numbers. */
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static const int min_exponent10 = 0;
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/** The maximum positive integer such that @c radix raised to the power of
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(one less than that integer) is a representable finite floating point
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number. */
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static const int max_exponent = 0;
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/** The maximum positive integer such that 10 raised to that power is in
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the range of representable finite floating point numbers. */
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static const int max_exponent10 = 0;
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/** True if the type has a representation for positive infinity. */
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static const bool has_infinity = false;
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/** True if the type has a representation for a quiet (non-signaling)
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"Not a Number." */
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static const bool has_quiet_NaN = false;
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/** True if the type has a representation for a signaling
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"Not a Number." */
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static const bool has_signaling_NaN = false;
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/** See std::float_denorm_style for more information. */
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static const float_denorm_style has_denorm = denorm_absent;
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/** "True if loss of accuracy is detected as a denormalization loss,
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rather than as an inexact result." [18.2.1.2]/42 */
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static const bool has_denorm_loss = false;
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/** True if-and-only-if the type adheres to the IEC 559 standard, also
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known as IEEE 754. (Only makes sense for floating point types.) */
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static const bool is_iec559 = false;
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/** "True if the set of values representable by the type is finite. All
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built-in types are bounded, this member would be false for arbitrary
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precision types." [18.2.1.2]/54 */
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static const bool is_bounded = false;
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/** True if the type is @e modulo, that is, if it is possible to add two
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positive numbers and have a result that wraps around to a third number
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that is less. Typically false for floating types, true for unsigned
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integers, and true for signed integers. */
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static const bool is_modulo = false;
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/** True if trapping is implemented for this type. */
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static const bool traps = false;
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/** True if tinyness is detected before rounding. (see IEC 559) */
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static const bool tinyness_before = false;
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/** See std::float_round_style for more information. This is only
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meaningful for floating types; integer types will all be
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round_toward_zero. */
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static const float_round_style round_style = round_toward_zero;
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};
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/**
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* @brief Properties of fundamental types.
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*
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* This class allows a program to obtain information about the
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* representation of a fundamental type on a given platform. For
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* non-fundamental types, the functions will return 0 and the data
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* members will all be @c false.
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*
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* @if maint
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* _GLIBCXX_RESOLVE_LIB_DEFECTS: DRs 201 and 184 (hi Gaby!) are
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* noted, but not incorporated in this documented (yet).
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* @endif
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*/
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template<typename _Tp>
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struct numeric_limits : public __numeric_limits_base
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{
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/** The minimum finite value, or for floating types with
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denormalization, the minimum positive normalized value. */
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static _Tp min() throw() { return static_cast<_Tp>(0); }
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/** The maximum finite value. */
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static _Tp max() throw() { return static_cast<_Tp>(0); }
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/** The @e machine @e epsilon: the difference between 1 and the least
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value greater than 1 that is representable. */
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static _Tp epsilon() throw() { return static_cast<_Tp>(0); }
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/** The maximum rounding error measurement (see LIA-1). */
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static _Tp round_error() throw() { return static_cast<_Tp>(0); }
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/** The representation of positive infinity, if @c has_infinity. */
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static _Tp infinity() throw() { return static_cast<_Tp>(0); }
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/** The representation of a quiet "Not a Number," if @c has_quiet_NaN. */
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static _Tp quiet_NaN() throw() { return static_cast<_Tp>(0); }
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/** The representation of a signaling "Not a Number," if
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@c has_signaling_NaN. */
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static _Tp signaling_NaN() throw() { return static_cast<_Tp>(0); }
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/** The minimum positive denormalized value. For types where
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@c has_denorm is false, this is the minimum positive normalized
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value. */
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static _Tp denorm_min() throw() { return static_cast<_Tp>(0); }
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};
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// Now there follow 15 explicit specializations. Yes, 15. Make sure
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// you get the count right.
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template<>
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struct numeric_limits<bool>
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{
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static const bool is_specialized = true;
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static bool min() throw()
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{ return false; }
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static bool max() throw()
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{ return true; }
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static const int digits = 1;
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static const int digits10 = 0;
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static const bool is_signed = false;
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static const bool is_integer = true;
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static const bool is_exact = true;
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static const int radix = 2;
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static bool epsilon() throw()
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{ return false; }
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static bool round_error() throw()
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{ return false; }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static bool infinity() throw()
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{ return false; }
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static bool quiet_NaN() throw()
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{ return false; }
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static bool signaling_NaN() throw()
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{ return false; }
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static bool denorm_min() throw()
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{ return false; }
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static const bool is_iec559 = false;
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static const bool is_bounded = true;
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static const bool is_modulo = false;
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// It is not clear what it means for a boolean type to trap.
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// This is a DR on the LWG issue list. Here, I use integer
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// promotion semantics.
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static const bool traps = __glibcxx_integral_traps;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_toward_zero;
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};
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template<>
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struct numeric_limits<char>
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{
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static const bool is_specialized = true;
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static char min() throw()
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{ return __glibcxx_min(char); }
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static char max() throw()
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{ return __glibcxx_max(char); }
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static const int digits = __glibcxx_digits (char);
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static const int digits10 = __glibcxx_digits10 (char);
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static const bool is_signed = __glibcxx_signed (char);
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static const bool is_integer = true;
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static const bool is_exact = true;
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static const int radix = 2;
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static char epsilon() throw()
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{ return 0; }
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static char round_error() throw()
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{ return 0; }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static char infinity() throw()
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{ return char(); }
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static char quiet_NaN() throw()
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{ return char(); }
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static char signaling_NaN() throw()
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{ return char(); }
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static char denorm_min() throw()
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{ return static_cast<char>(0); }
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static const bool is_iec559 = false;
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static const bool is_bounded = true;
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static const bool is_modulo = true;
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static const bool traps = __glibcxx_integral_traps;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_toward_zero;
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};
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template<>
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struct numeric_limits<signed char>
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{
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static const bool is_specialized = true;
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static signed char min() throw()
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{ return -__SCHAR_MAX__ - 1; }
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static signed char max() throw()
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{ return __SCHAR_MAX__; }
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static const int digits = __glibcxx_digits (signed char);
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static const int digits10 = __glibcxx_digits10 (signed char);
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static const bool is_signed = true;
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static const bool is_integer = true;
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static const bool is_exact = true;
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static const int radix = 2;
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static signed char epsilon() throw()
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{ return 0; }
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static signed char round_error() throw()
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{ return 0; }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static signed char infinity() throw()
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{ return static_cast<signed char>(0); }
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static signed char quiet_NaN() throw()
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{ return static_cast<signed char>(0); }
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static signed char signaling_NaN() throw()
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{ return static_cast<signed char>(0); }
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static signed char denorm_min() throw()
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{ return static_cast<signed char>(0); }
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static const bool is_iec559 = false;
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static const bool is_bounded = true;
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static const bool is_modulo = true;
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static const bool traps = __glibcxx_integral_traps;
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static const bool tinyness_before = false;
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static const float_round_style round_style = round_toward_zero;
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};
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template<>
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struct numeric_limits<unsigned char>
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{
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static const bool is_specialized = true;
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static unsigned char min() throw()
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{ return 0; }
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static unsigned char max() throw()
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{ return __SCHAR_MAX__ * 2U + 1; }
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static const int digits = __glibcxx_digits (unsigned char);
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static const int digits10 = __glibcxx_digits10 (unsigned char);
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static const bool is_signed = false;
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static const bool is_integer = true;
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static const bool is_exact = true;
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static const int radix = 2;
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static unsigned char epsilon() throw()
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{ return 0; }
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static unsigned char round_error() throw()
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{ return 0; }
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool has_infinity = false;
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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 (""); }
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|
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;
|
|
|
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static const bool traps = __glibcxx_float_traps;
|
|
static const bool tinyness_before = __glibcxx_float_tinyness_before;
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|
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
|