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- // Copyright 2001 John Maddock
- // Distributed under the Boost Software License, Version 1.0. (See accompany-
- // ing file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
- /*
- * Copyright (c) 1997
- * Silicon Graphics Computer Systems, Inc.
- *
- * Permission to use, copy, modify, distribute and sell this software
- * and its documentation for any purpose is hereby granted without fee,
- * provided that the above copyright notice appear in all copies and
- * that both that copyright notice and this permission notice appear
- * in supporting documentation. Silicon Graphics makes no
- * representations about the suitability of this software for any
- * purpose. It is provided "as is" without express or implied warranty.
- */
- /* NOTE: This is not portable code. Parts of numeric_limits<> are
- * inherently machine-dependent, and this file is written for the MIPS
- * architecture and the SGI MIPSpro C++ compiler. Parts of it (in
- * particular, some of the characteristics of floating-point types)
- * are almost certainly incorrect for any other platform.
- */
- /* The above comment is almost certainly out of date. This file works
- * on systems other than SGI MIPSpro C++ now.
- */
- /*
- * Revision history:
- * 21 Sep 2001:
- * Only include <cwchar> if BOOST_NO_CWCHAR is defined. (Darin Adler)
- * 10 Aug 2001:
- * Added MIPS (big endian) to the big endian family. (Jens Maurer)
- * 13 Apr 2001:
- * Added powerpc to the big endian family. (Jeremy Siek)
- * 5 Apr 2001:
- * Added sparc (big endian) processor support (John Maddock).
- * Initial sub:
- * Modified by Jens Maurer for gcc 2.95 on x86.
- */
- #ifndef BOOST_SGI_CPP_LIMITS
- #define BOOST_SGI_CPP_LIMITS
- #include <climits>
- #include <cfloat>
- #include <boost/config.hpp>
- #include <boost/detail/endian.hpp>
- #ifndef BOOST_NO_CWCHAR
- #include <cwchar> // for WCHAR_MIN and WCHAR_MAX
- #endif
- namespace std {
- enum float_round_style {
- round_indeterminate = -1,
- round_toward_zero = 0,
- round_to_nearest = 1,
- round_toward_infinity = 2,
- round_toward_neg_infinity = 3
- };
- enum float_denorm_style {
- denorm_indeterminate = -1,
- denorm_absent = 0,
- denorm_present = 1
- };
- // The C++ standard (section 18.2.1) requires that some of the members of
- // numeric_limits be static const data members that are given constant-
- // initializers within the class declaration. On compilers where the
- // BOOST_NO_INCLASS_MEMBER_INITIALIZATION macro is defined, it is impossible to write
- // a standard-conforming numeric_limits class.
- //
- // There are two possible workarounds: either initialize the data
- // members outside the class, or change them from data members to
- // enums. Neither workaround is satisfactory: the former makes it
- // impossible to use the data members in constant-expressions, and the
- // latter means they have the wrong type and that it is impossible to
- // take their addresses. We choose the former workaround.
- #ifdef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
- # define BOOST_STL_DECLARE_LIMITS_MEMBER(__mem_type, __mem_name, __mem_value) \
- enum { __mem_name = __mem_value }
- #else /* BOOST_NO_INCLASS_MEMBER_INITIALIZATION */
- # define BOOST_STL_DECLARE_LIMITS_MEMBER(__mem_type, __mem_name, __mem_value) \
- static const __mem_type __mem_name = __mem_value
- #endif /* BOOST_NO_INCLASS_MEMBER_INITIALIZATION */
- // Base class for all specializations of numeric_limits.
- template <class __number>
- class _Numeric_limits_base {
- public:
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, false);
- static __number min BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return __number(); }
- static __number max BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return __number(); }
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_integer, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_exact, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 0);
- static __number epsilon() throw() { return __number(); }
- static __number round_error() throw() { return __number(); }
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent10, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent10, 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_infinity, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_quiet_NaN, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_signaling_NaN, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(float_denorm_style,
- has_denorm,
- denorm_absent);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_denorm_loss, false);
- static __number infinity() throw() { return __number(); }
- static __number quiet_NaN() throw() { return __number(); }
- static __number signaling_NaN() throw() { return __number(); }
- static __number denorm_min() throw() { return __number(); }
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_iec559, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_modulo, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, traps, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, tinyness_before, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(float_round_style,
- round_style,
- round_toward_zero);
- };
- // Base class for integers.
- template <class _Int,
- _Int __imin,
- _Int __imax,
- int __idigits = -1>
- class _Integer_limits : public _Numeric_limits_base<_Int>
- {
- public:
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, true);
- static _Int min BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return __imin; }
- static _Int max BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return __imax; }
- BOOST_STL_DECLARE_LIMITS_MEMBER(int,
- digits,
- (__idigits < 0) ? (int)(sizeof(_Int) * CHAR_BIT)
- - (__imin == 0 ? 0 : 1)
- : __idigits);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, (digits * 301) / 1000);
- // log 2 = 0.301029995664...
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, __imin != 0);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_integer, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_exact, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 2);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_modulo, true);
- };
- #if defined(BOOST_BIG_ENDIAN)
- template<class Number, unsigned int Word>
- struct float_helper{
- static Number get_word() throw() {
- // sizeof(long double) == 16
- const unsigned int _S_word[4] = { Word, 0, 0, 0 };
- return *reinterpret_cast<const Number*>(&_S_word);
- }
- };
- #else
- template<class Number, unsigned int Word>
- struct float_helper{
- static Number get_word() throw() {
- // sizeof(long double) == 12, but only 10 bytes significant
- const unsigned int _S_word[4] = { 0, 0, 0, Word };
- return *reinterpret_cast<const Number*>(
- reinterpret_cast<const char *>(&_S_word)+16-
- (sizeof(Number) == 12 ? 10 : sizeof(Number)));
- }
- };
- #endif
- // Base class for floating-point numbers.
- template <class __number,
- int __Digits, int __Digits10,
- int __MinExp, int __MaxExp,
- int __MinExp10, int __MaxExp10,
- unsigned int __InfinityWord,
- unsigned int __QNaNWord, unsigned int __SNaNWord,
- bool __IsIEC559,
- float_round_style __RoundStyle>
- class _Floating_limits : public _Numeric_limits_base<__number>
- {
- public:
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits, __Digits);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, __Digits10);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 2);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent, __MinExp);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent, __MaxExp);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent10, __MinExp10);
- BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent10, __MaxExp10);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_infinity, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_quiet_NaN, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_signaling_NaN, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(float_denorm_style,
- has_denorm,
- denorm_indeterminate);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_denorm_loss, false);
-
- static __number infinity() throw() {
- return float_helper<__number, __InfinityWord>::get_word();
- }
- static __number quiet_NaN() throw() {
- return float_helper<__number,__QNaNWord>::get_word();
- }
- static __number signaling_NaN() throw() {
- return float_helper<__number,__SNaNWord>::get_word();
- }
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_iec559, __IsIEC559);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, true);
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, traps, false /* was: true */ );
- BOOST_STL_DECLARE_LIMITS_MEMBER(bool, tinyness_before, false);
- BOOST_STL_DECLARE_LIMITS_MEMBER(float_round_style, round_style, __RoundStyle);
- };
- // Class numeric_limits
- // The unspecialized class.
- template<class T>
- class numeric_limits : public _Numeric_limits_base<T> {};
- // Specializations for all built-in integral types.
- template<>
- class numeric_limits<bool>
- : public _Integer_limits<bool, false, true, 0>
- {};
- template<>
- class numeric_limits<char>
- : public _Integer_limits<char, CHAR_MIN, CHAR_MAX>
- {};
- template<>
- class numeric_limits<signed char>
- : public _Integer_limits<signed char, SCHAR_MIN, SCHAR_MAX>
- {};
- template<>
- class numeric_limits<unsigned char>
- : public _Integer_limits<unsigned char, 0, UCHAR_MAX>
- {};
- #ifndef BOOST_NO_INTRINSIC_WCHAR_T
- template<>
- class numeric_limits<wchar_t>
- #if !defined(WCHAR_MAX) || !defined(WCHAR_MIN)
- #if defined(_WIN32) || defined(__CYGWIN__)
- : public _Integer_limits<wchar_t, 0, USHRT_MAX>
- #elif defined(__hppa)
- // wchar_t has "unsigned int" as the underlying type
- : public _Integer_limits<wchar_t, 0, UINT_MAX>
- #else
- // assume that wchar_t has "int" as the underlying type
- : public _Integer_limits<wchar_t, INT_MIN, INT_MAX>
- #endif
- #else
- // we have WCHAR_MIN and WCHAR_MAX defined, so use it
- : public _Integer_limits<wchar_t, WCHAR_MIN, WCHAR_MAX>
- #endif
- {};
- #endif
- template<>
- class numeric_limits<short>
- : public _Integer_limits<short, SHRT_MIN, SHRT_MAX>
- {};
- template<>
- class numeric_limits<unsigned short>
- : public _Integer_limits<unsigned short, 0, USHRT_MAX>
- {};
- template<>
- class numeric_limits<int>
- : public _Integer_limits<int, INT_MIN, INT_MAX>
- {};
- template<>
- class numeric_limits<unsigned int>
- : public _Integer_limits<unsigned int, 0, UINT_MAX>
- {};
- template<>
- class numeric_limits<long>
- : public _Integer_limits<long, LONG_MIN, LONG_MAX>
- {};
- template<>
- class numeric_limits<unsigned long>
- : public _Integer_limits<unsigned long, 0, ULONG_MAX>
- {};
- #ifdef __GNUC__
- // Some compilers have long long, but don't define the
- // LONGLONG_MIN and LONGLONG_MAX macros in limits.h. This
- // assumes that long long is 64 bits.
- #if !defined(LONGLONG_MAX) && !defined(ULONGLONG_MAX)
- # define ULONGLONG_MAX 0xffffffffffffffffLLU
- # define LONGLONG_MAX 0x7fffffffffffffffLL
- #endif
- #if !defined(LONGLONG_MIN)
- # define LONGLONG_MIN (-LONGLONG_MAX - 1)
- #endif
- #if !defined(ULONGLONG_MIN)
- # define ULONGLONG_MIN 0
- #endif
- #endif /* __GNUC__ */
- // Specializations for all built-in floating-point type.
- template<> class numeric_limits<float>
- : public _Floating_limits<float,
- FLT_MANT_DIG, // Binary digits of precision
- FLT_DIG, // Decimal digits of precision
- FLT_MIN_EXP, // Minimum exponent
- FLT_MAX_EXP, // Maximum exponent
- FLT_MIN_10_EXP, // Minimum base 10 exponent
- FLT_MAX_10_EXP, // Maximum base 10 exponent
- #if defined(BOOST_BIG_ENDIAN)
- 0x7f80 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
- 0x7f81 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
- 0x7fc1 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
- #else
- 0x7f800000u, // Last word of +infinity
- 0x7f810000u, // Last word of quiet NaN
- 0x7fc10000u, // Last word of signaling NaN
- #endif
- true, // conforms to iec559
- round_to_nearest>
- {
- public:
- static float min BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return FLT_MIN; }
- static float denorm_min() throw() { return FLT_MIN; }
- static float max BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return FLT_MAX; }
- static float epsilon() throw() { return FLT_EPSILON; }
- static float round_error() throw() { return 0.5f; } // Units: ulps.
- };
- template<> class numeric_limits<double>
- : public _Floating_limits<double,
- DBL_MANT_DIG, // Binary digits of precision
- DBL_DIG, // Decimal digits of precision
- DBL_MIN_EXP, // Minimum exponent
- DBL_MAX_EXP, // Maximum exponent
- DBL_MIN_10_EXP, // Minimum base 10 exponent
- DBL_MAX_10_EXP, // Maximum base 10 exponent
- #if defined(BOOST_BIG_ENDIAN)
- 0x7ff0 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
- 0x7ff1 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
- 0x7ff9 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
- #else
- 0x7ff00000u, // Last word of +infinity
- 0x7ff10000u, // Last word of quiet NaN
- 0x7ff90000u, // Last word of signaling NaN
- #endif
- true, // conforms to iec559
- round_to_nearest>
- {
- public:
- static double min BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return DBL_MIN; }
- static double denorm_min() throw() { return DBL_MIN; }
- static double max BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return DBL_MAX; }
- static double epsilon() throw() { return DBL_EPSILON; }
- static double round_error() throw() { return 0.5; } // Units: ulps.
- };
- template<> class numeric_limits<long double>
- : public _Floating_limits<long double,
- LDBL_MANT_DIG, // Binary digits of precision
- LDBL_DIG, // Decimal digits of precision
- LDBL_MIN_EXP, // Minimum exponent
- LDBL_MAX_EXP, // Maximum exponent
- LDBL_MIN_10_EXP,// Minimum base 10 exponent
- LDBL_MAX_10_EXP,// Maximum base 10 exponent
- #if defined(BOOST_BIG_ENDIAN)
- 0x7ff0 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
- 0x7ff1 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
- 0x7ff9 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
- #else
- 0x7fff8000u, // Last word of +infinity
- 0x7fffc000u, // Last word of quiet NaN
- 0x7fff9000u, // Last word of signaling NaN
- #endif
- false, // Doesn't conform to iec559
- round_to_nearest>
- {
- public:
- static long double min BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return LDBL_MIN; }
- static long double denorm_min() throw() { return LDBL_MIN; }
- static long double max BOOST_PREVENT_MACRO_SUBSTITUTION () throw() { return LDBL_MAX; }
- static long double epsilon() throw() { return LDBL_EPSILON; }
- static long double round_error() throw() { return 4; } // Units: ulps.
- };
- } // namespace std
- #endif /* BOOST_SGI_CPP_LIMITS */
- // Local Variables:
- // mode:C++
- // End:
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