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/* The above comment is almost certainly out of date.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