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  template<>
    struct numeric_limits<long>
    {
      static const bool is_specialized = true;

      static long min() throw()
      { return -__LONG_MAX__ - 1; }
      static long max() throw()
      { return __LONG_MAX__; }

      static const int digits = __glibcxx_digits (long);
      static const int digits10 = __glibcxx_digits10 (long);
      static const bool is_signed = true;
      static const bool is_integer = true;
      static const bool is_exact = true;
      static const int radix = 2;
      static long epsilon() throw()
      { return 0; }
      static long round_error() throw()
      { return 0; }

      static const int min_exponent = 0;
      static const int min_exponent10 = 0;
      static const int max_exponent = 0;
      static const int max_exponent10 = 0;

      static const bool has_infinity = false;
      static const bool has_quiet_NaN = false;
      static const bool has_signaling_NaN = false;
      static const float_denorm_style has_denorm = denorm_absent;
      static const bool has_denorm_loss = false;

      static long infinity() throw()
      { return static_cast<long>(0); }
      static long quiet_NaN() throw()
      { return static_cast<long>(0); }
      static long signaling_NaN() throw()
      { return static_cast<long>(0); }
      static long denorm_min() throw()
      { return static_cast<long>(0); }

      static const bool is_iec559 = false;
      static const bool is_bounded = true;
      static const bool is_modulo = true;

      static const bool traps = __glibcxx_integral_traps;
      static const bool tinyness_before = false;
      static const float_round_style round_style = round_toward_zero;
    };

  template<>
    struct numeric_limits<unsigned long>
    {
      static const bool is_specialized = true;

      static unsigned long min() throw()
      { return 0; }
      static unsigned long max() throw()
      { return __LONG_MAX__ * 2UL + 1; }

      static const int digits = __glibcxx_digits (unsigned long);
      static const int digits10 = __glibcxx_digits10 (unsigned long);
      static const bool is_signed = false;
      static const bool is_integer = true;
      static const bool is_exact = true;
      static const int radix = 2;
      static unsigned long epsilon() throw()
      { return 0; }
      static unsigned long round_error() throw()
      { return 0; }

      static const int min_exponent = 0;
      static const int min_exponent10 = 0;
      static const int max_exponent = 0;
      static const int max_exponent10 = 0;

      static const bool has_infinity = false;
      static const bool has_quiet_NaN = false;
      static const bool has_signaling_NaN = false;
      static const float_denorm_style has_denorm = denorm_absent;
      static const bool has_denorm_loss = false;

      static unsigned long infinity() throw()
      { return static_cast<unsigned long>(0); }
      static unsigned long quiet_NaN() throw()
      { return static_cast<unsigned long>(0); }
      static unsigned long signaling_NaN() throw()
      { return static_cast<unsigned long>(0); }
      static unsigned long denorm_min() throw()
      { return static_cast<unsigned long>(0); }

      static const bool is_iec559 = false;
      static const bool is_bounded = true;
      static const bool is_modulo = true;

      static const bool traps = __glibcxx_integral_traps;
      static const bool tinyness_before = false;
      static const float_round_style round_style = round_toward_zero;
    };

  template<>
    struct numeric_limits<long long>
    {
      static const bool is_specialized = true;

      static long long min() throw()
      { return -__LONG_LONG_MAX__ - 1; }
      static long long max() throw()
      { return __LONG_LONG_MAX__; }

      static const int digits = __glibcxx_digits (long long);
      static const int digits10 = __glibcxx_digits10 (long long);
      static const bool is_signed = true;
      static const bool is_integer = true;
      static const bool is_exact = true;
      static const int radix = 2;
      static long long epsilon() throw()
      { return 0; }
      static long long round_error() throw()
      { return 0; }

      static const int min_exponent = 0;
      static const int min_exponent10 = 0;
      static const int max_exponent = 0;
      static const int max_exponent10 = 0;

      static const bool has_infinity = false;
      static const bool has_quiet_NaN = false;
      static const bool has_signaling_NaN = false;
      static const float_denorm_style has_denorm = denorm_absent;
      static const bool has_denorm_loss = false;

      static long long infinity() throw()
      { return static_cast<long long>(0); }
      static long long quiet_NaN() throw()
      { return static_cast<long long>(0); }
      static long long signaling_NaN() throw()
      { return static_cast<long long>(0); }
      static long long denorm_min() throw()
      { return static_cast<long long>(0); }

      static const bool is_iec559 = false;
      static const bool is_bounded = true;
      static const bool is_modulo = true;

      static const bool traps = __glibcxx_integral_traps;
      static const bool tinyness_before = false;
      static const float_round_style round_style = round_toward_zero;
    };

  template<>
    struct numeric_limits<unsigned long long>
    {
      static const bool is_specialized = true;

      static unsigned long long min() throw()
      { return 0; }
      static unsigned long long max() throw()
      { return __LONG_LONG_MAX__ * 2ULL + 1; }

      static const int digits = __glibcxx_digits (unsigned long long);
      static const int digits10 = __glibcxx_digits10 (unsigned long long);
      static const bool is_signed = false;
      static const bool is_integer = true;
      static const bool is_exact = true;
      static const int radix = 2;
      static unsigned long long epsilon() throw()
      { return 0; }
      static unsigned long long round_error() throw()
      { return 0; }

      static const int min_exponent = 0;
      static const int min_exponent10 = 0;
      static const int max_exponent = 0;
      static const int max_exponent10 = 0;

      static const bool has_infinity = false;
      static const bool has_quiet_NaN = false;
      static const bool has_signaling_NaN = false;
      static const float_denorm_style has_denorm = denorm_absent;
      static const bool has_denorm_loss = false;

      static unsigned long long infinity() throw()
      { return static_cast<unsigned long long>(0); }
      static unsigned long long quiet_NaN() throw()
      { return static_cast<unsigned long long>(0); }
      static unsigned long long signaling_NaN() throw()
      { return static_cast<unsigned long long>(0); }
      static unsigned long long denorm_min() throw()
      { return static_cast<unsigned long long>(0); }

      static const bool is_iec559 = false;
      static const bool is_bounded = true;
      static const bool is_modulo = true;

      static const bool traps = __glibcxx_integral_traps;
      static const bool tinyness_before = false;
      static const float_round_style round_style = round_toward_zero;
    };

  template<>
    struct numeric_limits<float>
    {
      static const bool is_specialized = true;

      static float min() throw()
      { return __FLT_MIN__; }
      static float max() throw()
      { return __FLT_MAX__; }

      static const int digits = __FLT_MANT_DIG__;
      static const int digits10 = __FLT_DIG__;
      static const bool is_signed = true;
      static const bool is_integer = false;
      static const bool is_exact = false;
      static const int radix = __FLT_RADIX__;
      static float epsilon() throw()
      { return __FLT_EPSILON__; }
      static float round_error() throw()
      { return 0.5F; }

      static const int min_exponent = __FLT_MIN_EXP__;
      static const int min_exponent10 = __FLT_MIN_10_EXP__;
      static const int max_exponent = __FLT_MAX_EXP__;
      static const int max_exponent10 = __FLT_MAX_10_EXP__;

      static const bool has_infinity = __FLT_HAS_INFINITY__;
      static const bool has_quiet_NaN = __FLT_HAS_QUIET_NAN__;
      static const bool has_signaling_NaN = has_quiet_NaN;
      static const float_denorm_style has_denorm
	= __FLT_DENORM_MIN__ ? denorm_present : denorm_absent;
      static const bool has_denorm_loss = __glibcxx_float_has_denorm_loss;

      static float infinity() throw()
      { return __builtin_huge_valf (); }
      static float quiet_NaN() throw()
      { return __builtin_nanf (""); }
      static float signaling_NaN() throw()
      { return __builtin_nansf (""); }
      static float denorm_min() throw()
      { return __FLT_DENORM_MIN__; }

      static const bool is_iec559
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static const bool is_bounded = true;
      static const bool is_modulo = false;

      static const bool traps = __glibcxx_float_traps;
      static const bool tinyness_before = __glibcxx_float_tinyness_before;
      static const float_round_style round_style = round_to_nearest;
    };

#undef __glibcxx_float_has_denorm_loss
#undef __glibcxx_float_traps
#undef __glibcxx_float_tinyness_before

  template<>
    struct numeric_limits<double>
    {
      static const bool is_specialized = true;

      static double min() throw()
      { return __DBL_MIN__; }
      static double max() throw()
      { return __DBL_MAX__; }

      static const int digits = __DBL_MANT_DIG__;
      static const int digits10 = __DBL_DIG__;
      static const bool is_signed = true;
      static const bool is_integer = false;
      static const bool is_exact = false;
      static const int radix = __FLT_RADIX__;
      static double epsilon() throw()
      { return __DBL_EPSILON__; }
      static double round_error() throw()
      { return 0.5; }

      static const int min_exponent = __DBL_MIN_EXP__;
      static const int min_exponent10 = __DBL_MIN_10_EXP__;
      static const int max_exponent = __DBL_MAX_EXP__;
      static const int max_exponent10 = __DBL_MAX_10_EXP__;

      static const bool has_infinity = __DBL_HAS_INFINITY__;
      static const bool has_quiet_NaN = __DBL_HAS_QUIET_NAN__;
      static const bool has_signaling_NaN = has_quiet_NaN;
      static const float_denorm_style has_denorm
	= __DBL_DENORM_MIN__ ? denorm_present : denorm_absent;
      static const bool has_denorm_loss = __glibcxx_double_has_denorm_loss;

      static double infinity() throw()
      { return __builtin_huge_val(); }
      static double quiet_NaN() throw()
      { return __builtin_nan (""); }
      static double signaling_NaN() throw()
      { return __builtin_nans (""); }
      static double denorm_min() throw()
      { return __DBL_DENORM_MIN__; }

      static const bool is_iec559
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static const bool is_bounded = true;
      static const bool is_modulo = false;

      static const bool traps = __glibcxx_double_traps;
      static const bool tinyness_before = __glibcxx_double_tinyness_before;
      static const float_round_style round_style = round_to_nearest;
    };

#undef __glibcxx_double_has_denorm_loss
#undef __glibcxx_double_traps
#undef __glibcxx_double_tinyness_before

  template<>
    struct numeric_limits<long double>
    {
      static const bool is_specialized = true;

      static long double min() throw()
      { return __LDBL_MIN__; }
      static long double max() throw()
      { return __LDBL_MAX__; }

      static const int digits = __LDBL_MANT_DIG__;
      static const int digits10 = __LDBL_DIG__;
      static const bool is_signed = true;
      static const bool is_integer = false;
      static const bool is_exact = false;
      static const int radix = __FLT_RADIX__;
      static long double epsilon() throw()
      { return __LDBL_EPSILON__; }
      static long double round_error() throw()
      { return 0.5L; }

      static const int min_exponent = __LDBL_MIN_EXP__;
      static const int min_exponent10 = __LDBL_MIN_10_EXP__;
      static const int max_exponent = __LDBL_MAX_EXP__;
      static const int max_exponent10 = __LDBL_MAX_10_EXP__;

      static const bool has_infinity = __LDBL_HAS_INFINITY__;
      static const bool has_quiet_NaN = __LDBL_HAS_QUIET_NAN__;
      static const bool has_signaling_NaN = has_quiet_NaN;
      static const float_denorm_style has_denorm
	= __LDBL_DENORM_MIN__ ? denorm_present : denorm_absent;
      static const bool has_denorm_loss
	= __glibcxx_long_double_has_denorm_loss;

      static long double infinity() throw()
      { return __builtin_huge_vall (); }
      static long double quiet_NaN() throw()
      { return __builtin_nanl (""); }
      static long double signaling_NaN() throw()
      { return __builtin_nansl (""); }
      static long double denorm_min() throw()
      { return __LDBL_DENORM_MIN__; }

      static const bool is_iec559
	= has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static const bool is_bounded = true;
      static const bool is_modulo = false;

      static const bool traps = __glibcxx_long_double_traps;
      static const bool tinyness_before = __glibcxx_long_double_tinyness_before;
      static const float_round_style round_style = round_to_nearest;
    };

#undef __glibcxx_long_double_has_denorm_loss
#undef __glibcxx_long_double_traps
#undef __glibcxx_long_double_tinyness_before

} // namespace std

#undef __glibcxx_signed
#undef __glibcxx_min
#undef __glibcxx_max
#undef __glibcxx_digits
#undef __glibcxx_digits10

#endif // _GLIBCXX_NUMERIC_LIMITS

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