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+// The template and inlines for the numeric_limits classes. -*- C++ -*-
+
+// Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007,
+// 2008, 2009 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+
+// Under Section 7 of GPL version 3, you are granted additional
+// permissions described in the GCC Runtime Library Exception, version
+// 3.1, as published by the Free Software Foundation.
+
+// You should have received a copy of the GNU General Public License and
+// a copy of the GCC Runtime Library Exception along with this program;
+// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+// <http://www.gnu.org/licenses/>.
+
+/** @file limits
+ * This is a Standard C++ Library header.
+ */
+
+// Note: this is not a conforming implementation.
+// Written by Gabriel Dos Reis <gdr@codesourcery.com>
+
+//
+// ISO 14882:1998
+// 18.2.1
+//
+
+#ifndef _GLIBCXX_NUMERIC_LIMITS
+#define _GLIBCXX_NUMERIC_LIMITS 1
+
+#pragma GCC system_header
+
+#include <bits/c++config.h>
+
+//
+// The numeric_limits<> traits document implementation-defined aspects
+// of fundamental arithmetic data types (integers and floating points).
+// From Standard C++ point of view, there are 13 such types:
+// * integers
+// bool (1)
+// char, signed char, unsigned char (3)
+// short, unsigned short (2)
+// int, unsigned (2)
+// long, unsigned long (2)
+//
+// * floating points
+// float (1)
+// double (1)
+// long double (1)
+//
+// GNU C++ understands (where supported by the host C-library)
+// * integer
+// long long, unsigned long long (2)
+//
+// which brings us to 15 fundamental arithmetic data types in GNU C++.
+//
+//
+// Since a numeric_limits<> is a bit tricky to get right, we rely on
+// an interface composed of macros which should be defined in config/os
+// or config/cpu when they differ from the generic (read arbitrary)
+// definitions given here.
+//
+
+// These values can be overridden in the target configuration file.
+// The default values are appropriate for many 32-bit targets.
+
+// GCC only intrinsically supports modulo integral types. The only remaining
+// integral exceptional values is division by zero. Only targets that do not
+// signal division by zero in some "hard to ignore" way should use false.
+#ifndef __glibcxx_integral_traps
+# define __glibcxx_integral_traps true
+#endif
+
+// float
+//
+
+// Default values. Should be overridden in configuration files if necessary.
+
+#ifndef __glibcxx_float_has_denorm_loss
+# define __glibcxx_float_has_denorm_loss false
+#endif
+#ifndef __glibcxx_float_traps
+# define __glibcxx_float_traps false
+#endif
+#ifndef __glibcxx_float_tinyness_before
+# define __glibcxx_float_tinyness_before false
+#endif
+
+// double
+
+// Default values. Should be overridden in configuration files if necessary.
+
+#ifndef __glibcxx_double_has_denorm_loss
+# define __glibcxx_double_has_denorm_loss false
+#endif
+#ifndef __glibcxx_double_traps
+# define __glibcxx_double_traps false
+#endif
+#ifndef __glibcxx_double_tinyness_before
+# define __glibcxx_double_tinyness_before false
+#endif
+
+// long double
+
+// Default values. Should be overridden in configuration files if necessary.
+
+#ifndef __glibcxx_long_double_has_denorm_loss
+# define __glibcxx_long_double_has_denorm_loss false
+#endif
+#ifndef __glibcxx_long_double_traps
+# define __glibcxx_long_double_traps false
+#endif
+#ifndef __glibcxx_long_double_tinyness_before
+# define __glibcxx_long_double_tinyness_before false
+#endif
+
+// You should not need to define any macros below this point.
+
+#define __glibcxx_signed(T) ((T)(-1) < 0)
+
+#define __glibcxx_min(T) \
+ (__glibcxx_signed (T) ? (T)1 << __glibcxx_digits (T) : (T)0)
+
+#define __glibcxx_max(T) \
+ (__glibcxx_signed (T) ? \
+ (((((T)1 << (__glibcxx_digits (T) - 1)) - 1) << 1) + 1) : ~(T)0)
+
+#define __glibcxx_digits(T) \
+ (sizeof(T) * __CHAR_BIT__ - __glibcxx_signed (T))
+
+// The fraction 643/2136 approximates log10(2) to 7 significant digits.
+#define __glibcxx_digits10(T) \
+ (__glibcxx_digits (T) * 643 / 2136)
+
+
+_GLIBCXX_BEGIN_NAMESPACE(std)
+
+ /**
+ * @brief Describes the rounding style for floating-point types.
+ *
+ * This is used in the std::numeric_limits class.
+ */
+ enum float_round_style
+ {
+ round_indeterminate = -1, ///< Self-explanatory.
+ round_toward_zero = 0, ///< Self-explanatory.
+ round_to_nearest = 1, ///< To the nearest representable value.
+ round_toward_infinity = 2, ///< Self-explanatory.
+ round_toward_neg_infinity = 3 ///< Self-explanatory.
+ };
+
+ /**
+ * @brief Describes the denormalization for floating-point types.
+ *
+ * These values represent the presence or absence of a variable number
+ * of exponent bits. This type is used in the std::numeric_limits class.
+ */
+ enum float_denorm_style
+ {
+ /// Indeterminate at compile time whether denormalized values are allowed.
+ denorm_indeterminate = -1,
+ /// The type does not allow denormalized values.
+ denorm_absent = 0,
+ /// The type allows denormalized values.
+ denorm_present = 1
+ };
+
+ /**
+ * @brief Part of std::numeric_limits.
+ *
+ * The @c static @c const members are usable as integral constant
+ * expressions.
+ *
+ * @note This is a separate class for purposes of efficiency; you
+ * should only access these members as part of an instantiation
+ * of the std::numeric_limits class.
+ */
+ struct __numeric_limits_base
+ {
+ /** This will be true for all fundamental types (which have
+ specializations), and false for everything else. */
+ static const bool is_specialized = false;
+
+ /** The number of @c radix digits that be represented without change: for
+ integer types, the number of non-sign bits in the mantissa; for
+ floating types, the number of @c radix digits in the mantissa. */
+ static const int digits = 0;
+ /** The number of base 10 digits that can be represented without change. */
+ static const int digits10 = 0;
+ /** True if the type is signed. */
+ static const bool is_signed = false;
+ /** True if the type is integer.
+ * Is this supposed to be "if the type is integral"?
+ */
+ static const bool is_integer = false;
+ /** True if the type uses an exact representation. "All integer types are
+ exact, but not all exact types are integer. For example, rational and
+ fixed-exponent representations are exact but not integer."
+ [18.2.1.2]/15 */
+ static const bool is_exact = false;
+ /** For integer types, specifies the base of the representation. For
+ floating types, specifies the base of the exponent representation. */
+ static const int radix = 0;
+
+ /** The minimum negative integer such that @c radix raised to the power of
+ (one less than that integer) is a normalized floating point number. */
+ static const int min_exponent = 0;
+ /** The minimum negative integer such that 10 raised to that power is in
+ the range of normalized floating point numbers. */
+ static const int min_exponent10 = 0;
+ /** The maximum positive integer such that @c radix raised to the power of
+ (one less than that integer) is a representable finite floating point
+ number. */
+ static const int max_exponent = 0;
+ /** The maximum positive integer such that 10 raised to that power is in
+ the range of representable finite floating point numbers. */
+ static const int max_exponent10 = 0;
+
+ /** True if the type has a representation for positive infinity. */
+ static const bool has_infinity = false;
+ /** True if the type has a representation for a quiet (non-signaling)
+ "Not a Number." */
+ static const bool has_quiet_NaN = false;
+ /** True if the type has a representation for a signaling
+ "Not a Number." */
+ static const bool has_signaling_NaN = false;
+ /** See std::float_denorm_style for more information. */
+ static const float_denorm_style has_denorm = denorm_absent;
+ /** "True if loss of accuracy is detected as a denormalization loss,
+ rather than as an inexact result." [18.2.1.2]/42 */
+ static const bool has_denorm_loss = false;
+
+ /** True if-and-only-if the type adheres to the IEC 559 standard, also
+ known as IEEE 754. (Only makes sense for floating point types.) */
+ static const bool is_iec559 = false;
+ /** "True if the set of values representable by the type is finite. All
+ built-in types are bounded, this member would be false for arbitrary
+ precision types." [18.2.1.2]/54 */
+ static const bool is_bounded = false;
+ /** True if the type is @e modulo, that is, if it is possible to add two
+ positive numbers and have a result that wraps around to a third number
+ that is less. Typically false for floating types, true for unsigned
+ integers, and true for signed integers. */
+ static const bool is_modulo = false;
+
+ /** True if trapping is implemented for this type. */
+ static const bool traps = false;
+ /** True if tininess is detected before rounding. (see IEC 559) */
+ static const bool tinyness_before = false;
+ /** See std::float_round_style for more information. This is only
+ meaningful for floating types; integer types will all be
+ round_toward_zero. */
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /**
+ * @brief Properties of fundamental types.
+ *
+ * This class allows a program to obtain information about the
+ * representation of a fundamental type on a given platform. For
+ * non-fundamental types, the functions will return 0 and the data
+ * members will all be @c false.
+ *
+ * _GLIBCXX_RESOLVE_LIB_DEFECTS: DRs 201 and 184 (hi Gaby!) are
+ * noted, but not incorporated in this documented (yet).
+ */
+ template<typename _Tp>
+ struct numeric_limits : public __numeric_limits_base
+ {
+ /** The minimum finite value, or for floating types with
+ denormalization, the minimum positive normalized value. */
+ static _Tp min() throw() { return static_cast<_Tp>(0); }
+ /** The maximum finite value. */
+ static _Tp max() throw() { return static_cast<_Tp>(0); }
+ /** The @e machine @e epsilon: the difference between 1 and the least
+ value greater than 1 that is representable. */
+ static _Tp epsilon() throw() { return static_cast<_Tp>(0); }
+ /** The maximum rounding error measurement (see LIA-1). */
+ static _Tp round_error() throw() { return static_cast<_Tp>(0); }
+ /** The representation of positive infinity, if @c has_infinity. */
+ static _Tp infinity() throw() { return static_cast<_Tp>(0); }
+ /** The representation of a quiet "Not a Number," if @c has_quiet_NaN. */
+ static _Tp quiet_NaN() throw() { return static_cast<_Tp>(0); }
+ /** The representation of a signaling "Not a Number," if
+ @c has_signaling_NaN. */
+ static _Tp signaling_NaN() throw() { return static_cast<_Tp>(0); }
+ /** The minimum positive denormalized value. For types where
+ @c has_denorm is false, this is the minimum positive normalized
+ value. */
+ static _Tp denorm_min() throw() { return static_cast<_Tp>(0); }
+ };
+
+ // Now there follow 15 explicit specializations. Yes, 15. Make sure
+ // you get the count right.
+
+ /// numeric_limits<bool> specialization.
+ template<>
+ struct numeric_limits<bool>
+ {
+ static const bool is_specialized = true;
+
+ static bool min() throw()
+ { return false; }
+ static bool max() throw()
+ { return true; }
+
+ static const int digits = 1;
+ static const int digits10 = 0;
+ static const bool is_signed = false;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static bool epsilon() throw()
+ { return false; }
+ static bool round_error() throw()
+ { return false; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static bool infinity() throw()
+ { return false; }
+ static bool quiet_NaN() throw()
+ { return false; }
+ static bool signaling_NaN() throw()
+ { return false; }
+ static bool denorm_min() throw()
+ { return false; }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = false;
+
+ // It is not clear what it means for a boolean type to trap.
+ // This is a DR on the LWG issue list. Here, I use integer
+ // promotion semantics.
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<char> specialization.
+ template<>
+ struct numeric_limits<char>
+ {
+ static const bool is_specialized = true;
+
+ static char min() throw()
+ { return __glibcxx_min(char); }
+ static char max() throw()
+ { return __glibcxx_max(char); }
+
+ static const int digits = __glibcxx_digits (char);
+ static const int digits10 = __glibcxx_digits10 (char);
+ static const bool is_signed = __glibcxx_signed (char);
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static char epsilon() throw()
+ { return 0; }
+ static char round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static char infinity() throw()
+ { return char(); }
+ static char quiet_NaN() throw()
+ { return char(); }
+ static char signaling_NaN() throw()
+ { return char(); }
+ static char denorm_min() throw()
+ { return static_cast<char>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<signed char> specialization.
+ template<>
+ struct numeric_limits<signed char>
+ {
+ static const bool is_specialized = true;
+
+ static signed char min() throw()
+ { return -__SCHAR_MAX__ - 1; }
+ static signed char max() throw()
+ { return __SCHAR_MAX__; }
+
+ static const int digits = __glibcxx_digits (signed char);
+ static const int digits10 = __glibcxx_digits10 (signed char);
+ static const bool is_signed = true;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static signed char epsilon() throw()
+ { return 0; }
+ static signed char round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static signed char infinity() throw()
+ { return static_cast<signed char>(0); }
+ static signed char quiet_NaN() throw()
+ { return static_cast<signed char>(0); }
+ static signed char signaling_NaN() throw()
+ { return static_cast<signed char>(0); }
+ static signed char denorm_min() throw()
+ { return static_cast<signed char>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<unsigned char> specialization.
+ template<>
+ struct numeric_limits<unsigned char>
+ {
+ static const bool is_specialized = true;
+
+ static unsigned char min() throw()
+ { return 0; }
+ static unsigned char max() throw()
+ { return __SCHAR_MAX__ * 2U + 1; }
+
+ static const int digits = __glibcxx_digits (unsigned char);
+ static const int digits10 = __glibcxx_digits10 (unsigned char);
+ static const bool is_signed = false;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static unsigned char epsilon() throw()
+ { return 0; }
+ static unsigned char round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static unsigned char infinity() throw()
+ { return static_cast<unsigned char>(0); }
+ static unsigned char quiet_NaN() throw()
+ { return static_cast<unsigned char>(0); }
+ static unsigned char signaling_NaN() throw()
+ { return static_cast<unsigned char>(0); }
+ static unsigned char denorm_min() throw()
+ { return static_cast<unsigned char>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<wchar_t> specialization.
+ template<>
+ struct numeric_limits<wchar_t>
+ {
+ static const bool is_specialized = true;
+
+ static wchar_t min() throw()
+ { return __glibcxx_min (wchar_t); }
+ static wchar_t max() throw()
+ { return __glibcxx_max (wchar_t); }
+
+ static const int digits = __glibcxx_digits (wchar_t);
+ static const int digits10 = __glibcxx_digits10 (wchar_t);
+ static const bool is_signed = __glibcxx_signed (wchar_t);
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static wchar_t epsilon() throw()
+ { return 0; }
+ static wchar_t round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static wchar_t infinity() throw()
+ { return wchar_t(); }
+ static wchar_t quiet_NaN() throw()
+ { return wchar_t(); }
+ static wchar_t signaling_NaN() throw()
+ { return wchar_t(); }
+ static wchar_t denorm_min() throw()
+ { return wchar_t(); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+#ifdef __GXX_EXPERIMENTAL_CXX0X__
+ /// numeric_limits<char16_t> specialization.
+ template<>
+ struct numeric_limits<char16_t>
+ {
+ static const bool is_specialized = true;
+
+ static char16_t min() throw()
+ { return __glibcxx_min (char16_t); }
+ static char16_t max() throw()
+ { return __glibcxx_max (char16_t); }
+
+ static const int digits = __glibcxx_digits (char16_t);
+ static const int digits10 = __glibcxx_digits10 (char16_t);
+ static const bool is_signed = __glibcxx_signed (char16_t);
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static char16_t epsilon() throw()
+ { return 0; }
+ static char16_t round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static char16_t infinity() throw()
+ { return char16_t(); }
+ static char16_t quiet_NaN() throw()
+ { return char16_t(); }
+ static char16_t signaling_NaN() throw()
+ { return char16_t(); }
+ static char16_t denorm_min() throw()
+ { return char16_t(); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<char32_t> specialization.
+ template<>
+ struct numeric_limits<char32_t>
+ {
+ static const bool is_specialized = true;
+
+ static char32_t min() throw()
+ { return __glibcxx_min (char32_t); }
+ static char32_t max() throw()
+ { return __glibcxx_max (char32_t); }
+
+ static const int digits = __glibcxx_digits (char32_t);
+ static const int digits10 = __glibcxx_digits10 (char32_t);
+ static const bool is_signed = __glibcxx_signed (char32_t);
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static char32_t epsilon() throw()
+ { return 0; }
+ static char32_t round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static char32_t infinity() throw()
+ { return char32_t(); }
+ static char32_t quiet_NaN() throw()
+ { return char32_t(); }
+ static char32_t signaling_NaN() throw()
+ { return char32_t(); }
+ static char32_t denorm_min() throw()
+ { return char32_t(); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+#endif
+
+ /// numeric_limits<short> specialization.
+ template<>
+ struct numeric_limits<short>
+ {
+ static const bool is_specialized = true;
+
+ static short min() throw()
+ { return -__SHRT_MAX__ - 1; }
+ static short max() throw()
+ { return __SHRT_MAX__; }
+
+ static const int digits = __glibcxx_digits (short);
+ static const int digits10 = __glibcxx_digits10 (short);
+ static const bool is_signed = true;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static short epsilon() throw()
+ { return 0; }
+ static short round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static short infinity() throw()
+ { return short(); }
+ static short quiet_NaN() throw()
+ { return short(); }
+ static short signaling_NaN() throw()
+ { return short(); }
+ static short denorm_min() throw()
+ { return short(); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<unsigned short> specialization.
+ template<>
+ struct numeric_limits<unsigned short>
+ {
+ static const bool is_specialized = true;
+
+ static unsigned short min() throw()
+ { return 0; }
+ static unsigned short max() throw()
+ { return __SHRT_MAX__ * 2U + 1; }
+
+ static const int digits = __glibcxx_digits (unsigned short);
+ static const int digits10 = __glibcxx_digits10 (unsigned short);
+ static const bool is_signed = false;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static unsigned short epsilon() throw()
+ { return 0; }
+ static unsigned short round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static unsigned short infinity() throw()
+ { return static_cast<unsigned short>(0); }
+ static unsigned short quiet_NaN() throw()
+ { return static_cast<unsigned short>(0); }
+ static unsigned short signaling_NaN() throw()
+ { return static_cast<unsigned short>(0); }
+ static unsigned short denorm_min() throw()
+ { return static_cast<unsigned short>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<int> specialization.
+ template<>
+ struct numeric_limits<int>
+ {
+ static const bool is_specialized = true;
+
+ static int min() throw()
+ { return -__INT_MAX__ - 1; }
+ static int max() throw()
+ { return __INT_MAX__; }
+
+ static const int digits = __glibcxx_digits (int);
+ static const int digits10 = __glibcxx_digits10 (int);
+ static const bool is_signed = true;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static int epsilon() throw()
+ { return 0; }
+ static int round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static int infinity() throw()
+ { return static_cast<int>(0); }
+ static int quiet_NaN() throw()
+ { return static_cast<int>(0); }
+ static int signaling_NaN() throw()
+ { return static_cast<int>(0); }
+ static int denorm_min() throw()
+ { return static_cast<int>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<unsigned int> specialization.
+ template<>
+ struct numeric_limits<unsigned int>
+ {
+ static const bool is_specialized = true;
+
+ static unsigned int min() throw()
+ { return 0; }
+ static unsigned int max() throw()
+ { return __INT_MAX__ * 2U + 1; }
+
+ static const int digits = __glibcxx_digits (unsigned int);
+ static const int digits10 = __glibcxx_digits10 (unsigned int);
+ static const bool is_signed = false;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static unsigned int epsilon() throw()
+ { return 0; }
+ static unsigned int round_error() throw()
+ { return 0; }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static unsigned int infinity() throw()
+ { return static_cast<unsigned int>(0); }
+ static unsigned int quiet_NaN() throw()
+ { return static_cast<unsigned int>(0); }
+ static unsigned int signaling_NaN() throw()
+ { return static_cast<unsigned int>(0); }
+ static unsigned int denorm_min() throw()
+ { return static_cast<unsigned int>(0); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = true;
+ static const bool is_modulo = true;
+
+ static const bool traps = __glibcxx_integral_traps;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+ };
+
+ /// numeric_limits<long> specialization.
+ 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;
+ };
+
+ /// numeric_limits<unsigned long> specialization.
+ 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;
+ };
+
+ /// numeric_limits<long long> specialization.
+ 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;
+ };
+
+ /// numeric_limits<unsigned long long> specialization.
+ 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;
+ };
+
+ /// numeric_limits<float> specialization.
+ 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
+ = bool(__FLT_HAS_DENORM__) ? 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
+
+ /// numeric_limits<double> specialization.
+ 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
+ = bool(__DBL_HAS_DENORM__) ? 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
+
+ /// numeric_limits<long double> specialization.
+ 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
+ = bool(__LDBL_HAS_DENORM__) ? 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
+
+_GLIBCXX_END_NAMESPACE
+
+#undef __glibcxx_signed
+#undef __glibcxx_min
+#undef __glibcxx_max
+#undef __glibcxx_digits
+#undef __glibcxx_digits10
+
+#endif // _GLIBCXX_NUMERIC_LIMITS