mirror of git://gcc.gnu.org/git/gcc.git
				
				
				
			
		
			
				
	
	
		
			1790 lines
		
	
	
		
			66 KiB
		
	
	
	
		
			C++
		
	
	
	
			
		
		
	
	
			1790 lines
		
	
	
		
			66 KiB
		
	
	
	
		
			C++
		
	
	
	
// The template and inlines for the numeric_limits classes. -*- C++ -*-
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// Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007,
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// 2008, 2009, 2010, 2011, 2012 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 3, 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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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
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// <http://www.gnu.org/licenses/>.
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/** @file include/limits
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 *  This is a Standard C++ Library header.
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 */
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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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#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 14 such types:
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//   * integers
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//         bool							(1)
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//         char, signed char, unsigned char, wchar_t            (4)
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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++ understands (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 16 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 intrinsically 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 overridden 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 overridden 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 overridden 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) ? -__glibcxx_max (T) - 1 : (T)0)
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#define __glibcxx_max(T) \
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  (__glibcxx_signed (T) ? \
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   (((((T)1 << (__glibcxx_digits (T) - 1)) - 1) << 1) + 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) * 643L / 2136)
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#define __glibcxx_max_digits10(T) \
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  (2 + (T) * 643L / 2136)
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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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,    /// Intermediate.
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    round_toward_zero         = 0,     /// To zero.
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    round_to_nearest          = 1,     /// To the nearest representable value.
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    round_toward_infinity     = 2,     /// To infinity.
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    round_toward_neg_infinity = 3      /// To negative infinity.
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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 separate 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 _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR int digits = 0;
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    /** The number of base 10 digits that can be represented without change. */
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    static _GLIBCXX_USE_CONSTEXPR int digits10 = 0;
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#ifdef __GXX_EXPERIMENTAL_CXX0X__
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    /** The number of base 10 digits required to ensure that values which
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	differ are always differentiated.  */
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    static constexpr int max_digits10 = 0;
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#endif
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    /** True if the type is signed.  */
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    static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
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    /** True if the type is integer.
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     *  Is this supposed to be <em>if the type is integral?</em>  */
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    static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
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    /** True if the type uses an exact representation. <em>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.</em>
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	[18.2.1.2]/15  */
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    static _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
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    /** True if the type has a representation for positive infinity.  */
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    static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
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    /** True if the type has a representation for a quiet (non-signaling)
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	<em>Not a Number</em>.  */
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    static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
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    /** True if the type has a representation for a signaling
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	<em>Not a Number</em>.  */
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    static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
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    /** See std::float_denorm_style for more information.  */
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    static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
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    /** <em>True if loss of accuracy is detected as a denormalization loss,
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	rather than as an inexact result.</em> [18.2.1.2]/42  */
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    static _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
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    /** <em>True if the set of values representable by the type is
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	finite.  All built-in types are bounded, this member would be
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	false for arbitrary precision types.</em> [18.2.1.2]/54  */
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    static _GLIBCXX_USE_CONSTEXPR bool is_bounded = false;
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    /** True if the type is @e modulo. A type is modulo if, for any
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	operation involving +, -, or * on values of that type whose
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	result would fall outside the range [min(),max()], the value
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	returned differs from the true value by an integer multiple of
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	max() - min() + 1. On most machines, this is false for floating
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	types, true for unsigned integers, and true for signed integers.
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	See PR22200 about signed integers.  */
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    static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
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    /** True if trapping is implemented for this type.  */
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    static _GLIBCXX_USE_CONSTEXPR bool traps = false;
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    /** True if tininess is detected before rounding.  (see IEC 559)  */
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    static _GLIBCXX_USE_CONSTEXPR 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 _GLIBCXX_USE_CONSTEXPR float_round_style round_style = 
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						    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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   *  _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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  */
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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 _GLIBCXX_CONSTEXPR _Tp
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      min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
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 | 
						|
      /** The maximum finite value.  */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
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      max() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
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      /** A finite value x such that there is no other finite value y
 | 
						|
       *  where y < x.  */
 | 
						|
      static constexpr _Tp
 | 
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      lowest() noexcept { return _Tp(); }
 | 
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#endif
 | 
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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.  */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
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      epsilon() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
      /** The maximum rounding error measurement (see LIA-1).  */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
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      round_error() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
      /** The representation of positive infinity, if @c has_infinity.  */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
      /** The representation of a quiet <em>Not a Number</em>,
 | 
						|
	  if @c has_quiet_NaN. */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
      /** The representation of a signaling <em>Not a Number</em>, if
 | 
						|
	  @c has_signaling_NaN. */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
 | 
						|
      /** The minimum positive denormalized value.  For types where
 | 
						|
	  @c has_denorm is false, this is the minimum positive normalized
 | 
						|
	  value.  */
 | 
						|
      static _GLIBCXX_CONSTEXPR _Tp
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); }
 | 
						|
    };
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
  template<typename _Tp>
 | 
						|
    struct numeric_limits<const _Tp>
 | 
						|
    : public numeric_limits<_Tp> { };
 | 
						|
 | 
						|
  template<typename _Tp>
 | 
						|
    struct numeric_limits<volatile _Tp>
 | 
						|
    : public numeric_limits<_Tp> { };
 | 
						|
 | 
						|
  template<typename _Tp>
 | 
						|
    struct numeric_limits<const volatile _Tp>
 | 
						|
    : public numeric_limits<_Tp> { };
 | 
						|
#endif
 | 
						|
 | 
						|
  // Now there follow 16 explicit specializations.  Yes, 16.  Make sure
 | 
						|
  // you get the count right. (18 in c++0x mode)
 | 
						|
 | 
						|
  /// numeric_limits<bool> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<bool>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return true; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr bool
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = 1;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = 0;
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR bool 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return false; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      // It is not clear what it means for a boolean type to trap.
 | 
						|
      // This is a DR on the LWG issue list.  Here, I use integer
 | 
						|
      // promotion semantics.
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<char> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<char>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min(char); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max(char); }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr char 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (char);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (char);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (char);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR 
 | 
						|
      char infinity() _GLIBCXX_USE_NOEXCEPT { return char(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR char 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<signed char> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<signed char>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return -__SCHAR_MAX__ - 1; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr signed char 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (signed char);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (signed char);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<signed char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR signed char 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<signed char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned char> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned char>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__ * 2U + 1; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned char 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (unsigned char);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (unsigned char);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned char 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned char>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<wchar_t> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<wchar_t>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (wchar_t); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (wchar_t); }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr wchar_t
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (wchar_t);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (wchar_t);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (wchar_t);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR wchar_t 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
  /// numeric_limits<char16_t> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<char16_t>
 | 
						|
    {
 | 
						|
      static constexpr bool is_specialized = true;
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      min() noexcept { return __glibcxx_min (char16_t); }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      max() noexcept { return __glibcxx_max (char16_t); }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
 | 
						|
      static constexpr int digits = __glibcxx_digits (char16_t);
 | 
						|
      static constexpr int digits10 = __glibcxx_digits10 (char16_t);
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
      static constexpr bool is_signed = __glibcxx_signed (char16_t);
 | 
						|
      static constexpr bool is_integer = true;
 | 
						|
      static constexpr bool is_exact = true;
 | 
						|
      static constexpr int radix = 2;
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      epsilon() noexcept { return 0; }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      round_error() noexcept { return 0; }
 | 
						|
 | 
						|
      static constexpr int min_exponent = 0;
 | 
						|
      static constexpr int min_exponent10 = 0;
 | 
						|
      static constexpr int max_exponent = 0;
 | 
						|
      static constexpr int max_exponent10 = 0;
 | 
						|
 | 
						|
      static constexpr bool has_infinity = false;
 | 
						|
      static constexpr bool has_quiet_NaN = false;
 | 
						|
      static constexpr bool has_signaling_NaN = false;
 | 
						|
      static constexpr float_denorm_style has_denorm = denorm_absent;
 | 
						|
      static constexpr bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      infinity() noexcept { return char16_t(); }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      quiet_NaN() noexcept { return char16_t(); }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      signaling_NaN() noexcept { return char16_t(); }
 | 
						|
 | 
						|
      static constexpr char16_t 
 | 
						|
      denorm_min() noexcept { return char16_t(); }
 | 
						|
 | 
						|
      static constexpr bool is_iec559 = false;
 | 
						|
      static constexpr bool is_bounded = true;
 | 
						|
      static constexpr bool is_modulo = !is_signed;
 | 
						|
 | 
						|
      static constexpr bool traps = __glibcxx_integral_traps;
 | 
						|
      static constexpr bool tinyness_before = false;
 | 
						|
      static constexpr float_round_style round_style = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<char32_t> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<char32_t>
 | 
						|
    {
 | 
						|
      static constexpr bool is_specialized = true;
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      min() noexcept { return __glibcxx_min (char32_t); }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      max() noexcept { return __glibcxx_max (char32_t); }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
 | 
						|
      static constexpr int digits = __glibcxx_digits (char32_t);
 | 
						|
      static constexpr int digits10 = __glibcxx_digits10 (char32_t);
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
      static constexpr bool is_signed = __glibcxx_signed (char32_t);
 | 
						|
      static constexpr bool is_integer = true;
 | 
						|
      static constexpr bool is_exact = true;
 | 
						|
      static constexpr int radix = 2;
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      epsilon() noexcept { return 0; }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      round_error() noexcept { return 0; }
 | 
						|
 | 
						|
      static constexpr int min_exponent = 0;
 | 
						|
      static constexpr int min_exponent10 = 0;
 | 
						|
      static constexpr int max_exponent = 0;
 | 
						|
      static constexpr int max_exponent10 = 0;
 | 
						|
 | 
						|
      static constexpr bool has_infinity = false;
 | 
						|
      static constexpr bool has_quiet_NaN = false;
 | 
						|
      static constexpr bool has_signaling_NaN = false;
 | 
						|
      static constexpr float_denorm_style has_denorm = denorm_absent;
 | 
						|
      static constexpr bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      infinity() noexcept { return char32_t(); }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      quiet_NaN() noexcept { return char32_t(); }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      signaling_NaN() noexcept { return char32_t(); }
 | 
						|
 | 
						|
      static constexpr char32_t 
 | 
						|
      denorm_min() noexcept { return char32_t(); }
 | 
						|
 | 
						|
      static constexpr bool is_iec559 = false;
 | 
						|
      static constexpr bool is_bounded = true;
 | 
						|
      static constexpr bool is_modulo = !is_signed;
 | 
						|
 | 
						|
      static constexpr bool traps = __glibcxx_integral_traps;
 | 
						|
      static constexpr bool tinyness_before = false;
 | 
						|
      static constexpr float_round_style round_style = round_toward_zero;
 | 
						|
    };
 | 
						|
#endif
 | 
						|
 | 
						|
  /// numeric_limits<short> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<short>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return -__SHRT_MAX__ - 1; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr short 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (short);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (short);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return short(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR short 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return short(); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned short> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned short>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__ * 2U + 1; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned short 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (unsigned short);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (unsigned short);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned short>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned short>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned short>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned short 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned short>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<int> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<int>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return -__INT_MAX__ - 1; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (int);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (int);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR int 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned int> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned int>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__ * 2U + 1; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned int 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (unsigned int);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (unsigned int);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned int 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned int>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<long> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<long>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_MAX__ - 1; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr long 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (long);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (long);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned long> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned long>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__ * 2UL + 1; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned long 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (unsigned long);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (unsigned long);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<long long> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<long long>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_LONG_MAX__ - 1; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr long long 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (long long);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (long long);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long long 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned long long> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned long long>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__ * 2ULL + 1; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned long long 
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits 
 | 
						|
       = __glibcxx_digits (unsigned long long);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 
 | 
						|
       = __glibcxx_digits10 (unsigned long long);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm 
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned long long 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned long long>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
#if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_INT128)
 | 
						|
  /// numeric_limits<__int128> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<__int128>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (__int128); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (__int128); }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr __int128
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits
 | 
						|
       = __glibcxx_digits (__int128);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10
 | 
						|
       = __glibcxx_digits10 (__int128);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<__int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<__int128>(0); }
 | 
						|
      
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<__int128>(0); }
 | 
						|
      
 | 
						|
      static _GLIBCXX_CONSTEXPR __int128
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<__int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps
 | 
						|
       = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
 | 
						|
  /// numeric_limits<unsigned __int128> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<unsigned __int128>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (unsigned __int128); }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr unsigned __int128
 | 
						|
      lowest() noexcept { return min(); }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits
 | 
						|
       = __glibcxx_digits (unsigned __int128);
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10
 | 
						|
       = __glibcxx_digits10 (unsigned __int128);
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10 = 0;
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = 2;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
 | 
						|
       = denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned __int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned __int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned __int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR unsigned __int128
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT
 | 
						|
      { return static_cast<unsigned __int128>(0); }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style
 | 
						|
       = round_toward_zero;
 | 
						|
    };
 | 
						|
#endif
 | 
						|
 | 
						|
  /// numeric_limits<float> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<float>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __FLT_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __FLT_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr float 
 | 
						|
      lowest() noexcept { return -__FLT_MAX__; }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __FLT_MANT_DIG__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __FLT_DIG__;
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10
 | 
						|
	 = __glibcxx_max_digits10 (__FLT_MANT_DIG__);
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return __FLT_EPSILON__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5F; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = __FLT_MIN_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __FLT_MIN_10_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = __FLT_MAX_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __FLT_MAX_10_EXP__;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __FLT_HAS_INFINITY__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __FLT_HAS_QUIET_NAN__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
 | 
						|
	= bool(__FLT_HAS_DENORM__) ? denorm_present : denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss 
 | 
						|
       = __glibcxx_float_has_denorm_loss;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_valf(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanf(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansf(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR float 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return __FLT_DENORM_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559
 | 
						|
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_float_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before 
 | 
						|
       = __glibcxx_float_tinyness_before;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_to_nearest;
 | 
						|
    };
 | 
						|
 | 
						|
#undef __glibcxx_float_has_denorm_loss
 | 
						|
#undef __glibcxx_float_traps
 | 
						|
#undef __glibcxx_float_tinyness_before
 | 
						|
 | 
						|
  /// numeric_limits<double> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<double>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __DBL_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __DBL_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr double 
 | 
						|
      lowest() noexcept { return -__DBL_MAX__; }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __DBL_MANT_DIG__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __DBL_DIG__;
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr int max_digits10
 | 
						|
	 = __glibcxx_max_digits10 (__DBL_MANT_DIG__);
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return __DBL_EPSILON__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = __DBL_MIN_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __DBL_MIN_10_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = __DBL_MAX_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __DBL_MAX_10_EXP__;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __DBL_HAS_INFINITY__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __DBL_HAS_QUIET_NAN__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
 | 
						|
	= bool(__DBL_HAS_DENORM__) ? denorm_present : denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss 
 | 
						|
        = __glibcxx_double_has_denorm_loss;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_val(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nan(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nans(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR double 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return __DBL_DENORM_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559
 | 
						|
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_double_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before 
 | 
						|
       = __glibcxx_double_tinyness_before;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style 
 | 
						|
       = round_to_nearest;
 | 
						|
    };
 | 
						|
 | 
						|
#undef __glibcxx_double_has_denorm_loss
 | 
						|
#undef __glibcxx_double_traps
 | 
						|
#undef __glibcxx_double_tinyness_before
 | 
						|
 | 
						|
  /// numeric_limits<long double> specialization.
 | 
						|
  template<>
 | 
						|
    struct numeric_limits<long double>
 | 
						|
    {
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      max() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MAX__; }
 | 
						|
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static constexpr long double 
 | 
						|
      lowest() noexcept { return -__LDBL_MAX__; }
 | 
						|
#endif
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits = __LDBL_MANT_DIG__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int digits10 = __LDBL_DIG__;
 | 
						|
#ifdef __GXX_EXPERIMENTAL_CXX0X__
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_digits10
 | 
						|
	 = __glibcxx_max_digits10 (__LDBL_MANT_DIG__);
 | 
						|
#endif
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_signed = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_integer = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_exact = false;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      epsilon() _GLIBCXX_USE_NOEXCEPT { return __LDBL_EPSILON__; }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5L; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent = __LDBL_MIN_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __LDBL_MIN_10_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent = __LDBL_MAX_EXP__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __LDBL_MAX_10_EXP__;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __LDBL_HAS_INFINITY__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __LDBL_HAS_QUIET_NAN__;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm
 | 
						|
	= bool(__LDBL_HAS_DENORM__) ? denorm_present : denorm_absent;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss
 | 
						|
	= __glibcxx_long_double_has_denorm_loss;
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_vall(); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanl(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansl(""); }
 | 
						|
 | 
						|
      static _GLIBCXX_CONSTEXPR long double 
 | 
						|
      denorm_min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_DENORM_MIN__; }
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_iec559
 | 
						|
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false;
 | 
						|
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_long_double_traps;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = 
 | 
						|
					 __glibcxx_long_double_tinyness_before;
 | 
						|
      static _GLIBCXX_USE_CONSTEXPR float_round_style round_style = 
 | 
						|
						      round_to_nearest;
 | 
						|
    };
 | 
						|
 | 
						|
#undef __glibcxx_long_double_has_denorm_loss
 | 
						|
#undef __glibcxx_long_double_traps
 | 
						|
#undef __glibcxx_long_double_tinyness_before
 | 
						|
 | 
						|
_GLIBCXX_END_NAMESPACE_VERSION
 | 
						|
} // namespace
 | 
						|
 | 
						|
#undef __glibcxx_signed
 | 
						|
#undef __glibcxx_min
 | 
						|
#undef __glibcxx_max
 | 
						|
#undef __glibcxx_digits
 | 
						|
#undef __glibcxx_digits10
 | 
						|
#undef __glibcxx_max_digits10
 | 
						|
 | 
						|
#endif // _GLIBCXX_NUMERIC_LIMITS
 |