// limits standard header
#ifndef _LIMITS_
#define _LIMITS_
#include <ymath.h>
#include <cfloat>
#include <climits>
#include <cmath>
#include <cwchar>
#include <xstddef>
_STD_BEGIN

#if defined(__TI_COMPILER_VERSION__)
   // TI FP properties
   #define _FDENORM_MIN     FLT_MIN
   #define _FINFINITY       FLT_MAX
   #define _FQUIET_NAN      0
   #define _FSIGNALING_NAN  0

   #define _DDENORM_MIN     DBL_MIN
   #define _DINFINITY       DBL_MAX
   #define _DQUIET_NAN      0
   #define _DSIGNALING_NAN  0

   #define _LDENORM_MIN     LDBL_MIN
   #define _LINFINITY       LDBL_MAX
   #define _LQUIET_NAN      0
   #define _LSIGNALING_NAN  0
#else
   // dinkumware/IEEE FP properties
   #define _FDENORM_MIN     _FDenorm._Float
   #define _FINFINITY       _FInf._Float
   #define _FQUIET_NAN      _FNan._Float
   #define _FSIGNALING_NAN  _FSnan._Float

   #define _DDENORM_MIN     _Denorm._Double
   #define _DINFINITY       _Inf._Double
   #define _DQUIET_NAN      _Nan._Double
   #define _DSIGNALING_NAN  _Snan._Double

   #define _LDENORM_MIN     _LDenorm._Long_double
   #define _LINFINITY       _LInf._Float
   #define _LQUIET_NAN      _LNan._Float
   #define _LSIGNALING_NAN  _LSnan._Float
#endif

//	ASSUMES:
//	wraparound 2's complement integer arithmetic w/o traps
//	all CHAR_BITs of each byte used by integers
//	IEC559 (IEEE 754) floating-point arithmetic
//	floating-point errors can trap
//	tinyness detected before floating-point rounding
//	64-bit long long (if _LONGLONG defined)

		// ENUM float_denorm_style
typedef enum
	{	// constants for different IEEE float denormalization styles
	denorm_indeterminate = -1,
	denorm_absent = 0,
	denorm_present = 1}
		float_denorm_style;

		// ENUM float_round_style
typedef enum
	{	// constants for different IEEE rounding styles
	round_indeterminate = -1,
	round_toward_zero = 0,
	round_to_nearest = 1,
	round_toward_infinity = 2,
	round_toward_neg_infinity = 3}
		float_round_style;

		// STRUCT _Num_base
struct _Num_base
	{	// base for all types, with common defaults
	_STCONS(float_denorm_style, has_denorm, denorm_absent);
	_STCONS(bool, has_denorm_loss, false);
	_STCONS(bool, has_infinity, false);
	_STCONS(bool, has_quiet_NaN, false);
	_STCONS(bool, has_signaling_NaN, false);
	_STCONS(bool, is_bounded, false);
	_STCONS(bool, is_exact, false);
	_STCONS(bool, is_iec559, false);
	_STCONS(bool, is_integer, false);
	_STCONS(bool, is_modulo, false);
	_STCONS(bool, is_signed, false);
	_STCONS(bool, is_specialized, false);
	_STCONS(bool, tinyness_before, false);
	_STCONS(bool, traps, false);
	_STCONS(float_round_style, round_style, round_toward_zero);
	_STCONS(int, digits, 0);
	_STCONS(int, digits10, 0);
	_STCONS(int, max_exponent, 0);
	_STCONS(int, max_exponent10, 0);
	_STCONS(int, min_exponent, 0);
	_STCONS(int, min_exponent10, 0);
	_STCONS(int, radix, 0);
	};

		// TEMPLATE CLASS numeric_limits
template<class _Ty>
	class numeric_limits
		: public _Num_base
	{	// numeric limits for arbitrary type _Ty (say little or nothing)
public:
	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (_Ty(0));
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (_Ty(0));
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (_Ty(0));
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (_Ty(0));
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (_Ty(0));
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (_Ty(0));
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (_Ty(0));
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (_Ty(0));
		}
	};

		// STRUCT _Num_int_base
struct _Num_int_base
	: public _Num_base
	{	// base for integer types
	_STCONS(bool, is_bounded, true);
	_STCONS(bool, is_exact, true);
	_STCONS(bool, is_integer, true);
	_STCONS(bool, is_modulo, true);
	_STCONS(bool, is_specialized, true);
	_STCONS(int, radix, 2);
	};

		// STRUCT _Num_float_base
struct _Num_float_base
	: public _Num_base
	{	// base for floating-point types
#if defined(__TI_COMPILER_VERSION__)
	_STCONS(float_denorm_style, has_denorm, denorm_absent);
	_STCONS(bool, has_denorm_loss, false);
	_STCONS(bool, has_infinity, false);
	_STCONS(bool, has_quiet_NaN, false);
	_STCONS(bool, has_signaling_NaN, false);
	_STCONS(bool, is_bounded, true);
	_STCONS(bool, is_exact, false);
	_STCONS(bool, is_iec559, false);
	_STCONS(bool, is_integer, false);
	_STCONS(bool, is_modulo, false);
	_STCONS(bool, is_signed, true);
	_STCONS(bool, is_specialized, true);
	_STCONS(bool, tinyness_before, false);
	_STCONS(bool, traps, false);
	_STCONS(float_round_style, round_style, round_to_nearest);
	_STCONS(int, radix, FLT_RADIX);
#else
	_STCONS(float_denorm_style, has_denorm, denorm_present);
	_STCONS(bool, has_denorm_loss, true);
	_STCONS(bool, has_infinity, true);
	_STCONS(bool, has_quiet_NaN, true);
	_STCONS(bool, has_signaling_NaN, true);
	_STCONS(bool, is_bounded, true);
	_STCONS(bool, is_exact, false);
	_STCONS(bool, is_iec559, true);
	_STCONS(bool, is_integer, false);
	_STCONS(bool, is_modulo, false);
	_STCONS(bool, is_signed, true);
	_STCONS(bool, is_specialized, true);
	_STCONS(bool, tinyness_before, true);
	_STCONS(bool, traps, true);
	_STCONS(float_round_style, round_style, round_to_nearest);
	_STCONS(int, radix, FLT_RADIX);
#endif
	};

		// CLASS numeric_limits<char>
template<> class numeric_limits<char>
	: public _Num_int_base
	{	// limits for type char
public:
	typedef char _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (CHAR_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (CHAR_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, CHAR_MIN != 0);
	_STCONS(int, digits, CHAR_BIT - (CHAR_MIN != 0 ? 1 : 0));
	_STCONS(int, digits10, (CHAR_BIT - (CHAR_MIN != 0 ? 1 : 0))
		* 301L / 1000);
	};

		// CLASS numeric_limits<wchar_t>
template<> class numeric_limits<wchar_t>
	: public _Num_int_base
	{	// limits for type wchar_t
public:
	typedef wchar_t _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return ((_Ty)WCHAR_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return ((_Ty)WCHAR_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, WCHAR_MIN != 0);
	_STCONS(int, digits, CHAR_BIT * sizeof (wchar_t)
		- (WCHAR_MIN != 0 ? 1 : 0));
	_STCONS(int, digits10, (CHAR_BIT * sizeof (wchar_t)
		- (WCHAR_MIN != 0 ? 1 : 0)) * 301L / 1000);
	};

		// CLASS numeric_limits<_Bool>
template<> class numeric_limits<_Bool>
	: public _Num_int_base
	{	// limits for type bool
public:
	typedef bool _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (false);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (true);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_modulo, false);
	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, 1);
	_STCONS(int, digits10, 0);
	};

		// CLASS numeric_limits<signed char>
template<> class numeric_limits<signed char>
	: public _Num_int_base
	{	// limits for type signed char
public:
	typedef signed char _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (SCHAR_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (SCHAR_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, true);
	_STCONS(int, digits, CHAR_BIT - 1);
	_STCONS(int, digits10, (CHAR_BIT - 1) * 301L / 1000);
	};

		// CLASS numeric_limits<unsigned char>
template<> class numeric_limits<unsigned char>
	: public _Num_int_base
	{	// limits for type unsigned char
public:
	typedef unsigned char _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (0);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (UCHAR_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, CHAR_BIT);
	_STCONS(int, digits10, (CHAR_BIT) * 301L / 1000);
	};

		// CLASS numeric_limits<short>
template<> class numeric_limits<short>
	: public _Num_int_base
	{	// limits for type short
public:
	typedef short _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (SHRT_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (SHRT_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, true);
	_STCONS(int, digits, CHAR_BIT * sizeof (short) - 1);
	_STCONS(int, digits10, (CHAR_BIT * sizeof (short) - 1)
		* 301L / 1000);
	};

		// CLASS numeric_limits<unsigned short>
template<> class numeric_limits<unsigned short>
	: public _Num_int_base
	{	// limits for type unsigned short
public:
	typedef unsigned short _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (0);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (USHRT_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, CHAR_BIT * sizeof (unsigned short));
	_STCONS(int, digits10, (CHAR_BIT * sizeof (unsigned short))
		* 301L / 1000);
	};

		// CLASS numeric_limits<int>
template<> class numeric_limits<int>
	: public _Num_int_base
	{	// limits for type int
public:
	typedef int _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (INT_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (INT_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, true);
	_STCONS(int, digits, CHAR_BIT * sizeof (int) - 1);
	_STCONS(int, digits10, (CHAR_BIT * sizeof (int) - 1)
		* 301L / 1000);
	};

		// CLASS numeric_limits<unsigned int>
template<> class numeric_limits<unsigned int>
	: public _Num_int_base
	{	// limits for type unsigned int
public:
	typedef unsigned int _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (0);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (UINT_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, CHAR_BIT * sizeof (unsigned int));
	_STCONS(int, digits10, (CHAR_BIT * sizeof (unsigned int))
		* 301L / 1000);
	};

		// CLASS numeric_limits<long>
template<> class numeric_limits<long>
	: public _Num_int_base
	{	// limits for type long
public:
	typedef long _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (LONG_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (LONG_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, true);
	_STCONS(int, digits, CHAR_BIT * sizeof (long) - 1);
	_STCONS(int, digits10, (CHAR_BIT * sizeof (long) - 1)
		* 301L / 1000);
	};

		// CLASS numeric_limits<unsigned long>
template<> class numeric_limits<unsigned long>
	: public _Num_int_base
	{	// limits for type unsigned long
public:
	typedef unsigned long _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (0);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (ULONG_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, CHAR_BIT * sizeof (unsigned long));
	_STCONS(int, digits10, (CHAR_BIT * sizeof (unsigned long))
		* 301L / 1000);
	};

 #ifdef _LONGLONG
		// CLASS numeric_limits<_LONGLONG>
template<> class numeric_limits<_LONGLONG>
	: public _Num_int_base
	{	// limits for type long long
public:
	typedef _LONGLONG _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (-_LLONG_MAX - _C2);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (_LLONG_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, true);
	_STCONS(int, digits, CHAR_BIT * sizeof (_LONGLONG) - 1);
	_STCONS(int, digits10, (CHAR_BIT * sizeof (_LONGLONG) - 1)
		* 301L / 1000);
	};

		// CLASS numeric_limits<_ULONGLONG>
template<> class numeric_limits<_ULONGLONG>
	: public _Num_int_base
	{	// limits for type unsigned long long
public:
	typedef _ULONGLONG _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (0);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (_ULLONG_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (0);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (0);
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (0);
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (0);
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (0);
		}

	_STCONS(bool, is_signed, false);
	_STCONS(int, digits, CHAR_BIT * sizeof (_ULONGLONG));
	_STCONS(int, digits10, (CHAR_BIT * sizeof (_ULONGLONG))
		* 301L / 1000);
	};
 #endif /* _LONGLONG */

		// CLASS numeric_limits<float>
template<> class numeric_limits<float>
	: public _Num_float_base
	{	// limits for type float
public:
	typedef float _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (FLT_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (FLT_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (FLT_EPSILON);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0.5);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (_FDENORM_MIN); 
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (_FINFINITY); 
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (_FQUIET_NAN); 
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (_FSIGNALING_NAN); 
		}

	_STCONS(int, digits, FLT_MANT_DIG);
	_STCONS(int, digits10, FLT_DIG);
	_STCONS(int, max_exponent, (int)FLT_MAX_EXP);
	_STCONS(int, max_exponent10, (int)FLT_MAX_10_EXP);
	_STCONS(int, min_exponent, (int)FLT_MIN_EXP);
	_STCONS(int, min_exponent10, (int)FLT_MIN_10_EXP);
	};

		// CLASS numeric_limits<double>
template<> class numeric_limits<double>
	: public _Num_float_base
	{	// limits for type double
public:
	typedef double _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (DBL_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (DBL_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (DBL_EPSILON);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0.5);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (_DDENORM_MIN); 
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (_DINFINITY); 
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (_DQUIET_NAN); 
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (_DSIGNALING_NAN); 
		}

	_STCONS(int, digits, DBL_MANT_DIG);
	_STCONS(int, digits10, DBL_DIG);
	_STCONS(int, max_exponent, (int)DBL_MAX_EXP);
	_STCONS(int, max_exponent10, (int)DBL_MAX_10_EXP);
	_STCONS(int, min_exponent, (int)DBL_MIN_EXP);
	_STCONS(int, min_exponent10, (int)DBL_MIN_10_EXP);
	};

		// CLASS numeric_limits<long double>
template<> class numeric_limits<long double>
	: public _Num_float_base
	{	// limits for type long double
public:
	typedef long double _Ty;

	static _Ty (min)() _THROW0()
		{	// return minimum value
		return (LDBL_MIN);
		}

	static _Ty (max)() _THROW0()
		{	// return maximum value
		return (LDBL_MAX);
		}

	static _Ty epsilon() _THROW0()
		{	// return smallest effective increment from 1.0
		return (LDBL_EPSILON);
		}

	static _Ty round_error() _THROW0()
		{	// return largest rounding error
		return (0.5);
		}

	static _Ty denorm_min() _THROW0()
		{	// return minimum denormalized value
		return (_LDENORM_MIN); 
		}

	static _Ty infinity() _THROW0()
		{	// return positive infinity
		return (_LINFINITY); 
		}

	static _Ty quiet_NaN() _THROW0()
		{	// return non-signaling NaN
		return (_LQUIET_NAN); 
		}

	static _Ty signaling_NaN() _THROW0()
		{	// return signaling NaN
		return (_LSIGNALING_NAN); 
		}

	_STCONS(int, digits, LDBL_MANT_DIG);
	_STCONS(int, digits10, LDBL_DIG);
	_STCONS(int, max_exponent, (int)LDBL_MAX_EXP);
	_STCONS(int, max_exponent10, (int)LDBL_MAX_10_EXP);
	_STCONS(int, min_exponent, (int)LDBL_MIN_EXP);
	_STCONS(int, min_exponent10, (int)LDBL_MIN_10_EXP);
	};
_STD_END
#endif /* _LIMITS_ */

/*
 * Copyright (c) 1992-2004 by P.J. Plauger.  ALL RIGHTS RESERVED.
 * Consult your license regarding permissions and restrictions.
V4.02:1476 */