3
* Silicon Graphics Computer Systems, Inc.
5
* Permission to use, copy, modify, distribute and sell this software
6
* and its documentation for any purpose is hereby granted without fee,
7
* provided that the above copyright notice appear in all copies and
8
* that both that copyright notice and this permission notice appear
9
* in supporting documentation. Silicon Graphics makes no
10
* representations about the suitability of this software for any
11
* purpose. It is provided "as is" without express or implied warranty.
14
/* NOTE: This is not portable code. Parts of numeric_limits<> are
15
* inherently machine-dependent, and this file is written for the MIPS
16
* architecture and the SGI MIPSpro C++ compiler. Parts of it (in
17
* particular, some of the characteristics of floating-point types)
18
* are almost certainly incorrect for any other platform.
21
/* The above comment is almost certainly out of date. This file works
22
* on systems other than SGI MIPSpro C++ now.
28
* Only include <cwchar> if BOOST_NO_CWCHAR is defined. (Darin Adler)
30
* Added MIPS (big endian) to the big endian family. (Jens Maurer)
32
* Added powerpc to the big endian family. (Jeremy Siek)
34
* Added sparc (big endian) processor support (John Maddock).
36
* Modified by Jens Maurer for gcc 2.95 on x86.
39
#ifndef BOOST_SGI_CPP_LIMITS
40
#define BOOST_SGI_CPP_LIMITS
44
#include <boost/config.hpp>
46
#ifndef BOOST_NO_CWCHAR
47
#include <cwchar> // for WCHAR_MIN and WCHAR_MAX
50
// The macros are not named appropriately. We don't care about integer
51
// bit layout, but about floating-point NaN (etc.) bit patterns.
52
#if defined(__sparc) || defined(__sparc__) || defined(__powerpc__) || defined(__ppc__) || defined(__hppa) || defined(_MIPSEB) || defined(_POWER)
53
#define BOOST_BIG_ENDIAN
54
#elif defined(__i386__) || defined(__alpha__) || defined(__ia64) || defined(__ia64__)
55
#define BOOST_LITTLE_ENDIAN
57
#error The file boost/detail/limits.hpp needs to be set up for your CPU type.
62
enum float_round_style {
63
round_indeterminate = -1,
64
round_toward_zero = 0,
66
round_toward_infinity = 2,
67
round_toward_neg_infinity = 3
70
enum float_denorm_style {
71
denorm_indeterminate = -1,
76
// The C++ standard (section 18.2.1) requires that some of the members of
77
// numeric_limits be static const data members that are given constant-
78
// initializers within the class declaration. On compilers where the
79
// BOOST_NO_INCLASS_MEMBER_INITIALIZATION macro is defined, it is impossible to write
80
// a standard-conforming numeric_limits class.
82
// There are two possible workarounds: either initialize the data
83
// members outside the class, or change them from data members to
84
// enums. Neither workaround is satisfactory: the former makes it
85
// impossible to use the data members in constant-expressions, and the
86
// latter means they have the wrong type and that it is impossible to
87
// take their addresses. We choose the former workaround.
89
#ifdef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
90
# define BOOST_STL_DECLARE_LIMITS_MEMBER(__mem_type, __mem_name, __mem_value) \
91
enum { __mem_name = __mem_value }
92
#else /* BOOST_NO_INCLASS_MEMBER_INITIALIZATION */
93
# define BOOST_STL_DECLARE_LIMITS_MEMBER(__mem_type, __mem_name, __mem_value) \
94
static const __mem_type __mem_name = __mem_value
95
#endif /* BOOST_NO_INCLASS_MEMBER_INITIALIZATION */
97
// Deal with min/max for MinGW
106
// Base class for all specializations of numeric_limits.
107
template <class __number>
108
class _Numeric_limits_base {
110
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, false);
112
static __number min() throw() { return __number(); }
113
static __number max() throw() { return __number(); }
115
BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits, 0);
116
BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, 0);
118
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, false);
119
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_integer, false);
120
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_exact, false);
122
BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 0);
124
static __number epsilon() throw() { return __number(); }
125
static __number round_error() throw() { return __number(); }
127
BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent, 0);
128
BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent10, 0);
129
BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent, 0);
130
BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent10, 0);
132
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_infinity, false);
133
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_quiet_NaN, false);
134
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_signaling_NaN, false);
135
BOOST_STL_DECLARE_LIMITS_MEMBER(float_denorm_style,
138
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_denorm_loss, false);
140
static __number infinity() throw() { return __number(); }
141
static __number quiet_NaN() throw() { return __number(); }
142
static __number signaling_NaN() throw() { return __number(); }
143
static __number denorm_min() throw() { return __number(); }
145
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_iec559, false);
146
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, false);
147
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_modulo, false);
149
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, traps, false);
150
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, tinyness_before, false);
151
BOOST_STL_DECLARE_LIMITS_MEMBER(float_round_style,
156
// Base class for integers.
158
template <class _Int,
162
class _Integer_limits : public _Numeric_limits_base<_Int>
165
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, true);
167
static _Int min() throw() { return __imin; }
168
static _Int max() throw() { return __imax; }
170
BOOST_STL_DECLARE_LIMITS_MEMBER(int,
172
(__idigits < 0) ? (int)(sizeof(_Int) * CHAR_BIT)
173
- (__imin == 0 ? 0 : 1)
175
BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, (digits * 301) / 1000);
176
// log 2 = 0.301029995664...
178
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, __imin != 0);
179
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_integer, true);
180
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_exact, true);
181
BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 2);
183
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, true);
184
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_modulo, true);
187
#if defined(BOOST_BIG_ENDIAN)
189
template<class Number, unsigned int Word>
191
static Number get_word() throw() {
192
// sizeof(long double) == 16
193
const unsigned int _S_word[4] = { Word, 0, 0, 0 };
194
return *reinterpret_cast<const Number*>(&_S_word);
200
template<class Number, unsigned int Word>
202
static Number get_word() throw() {
203
// sizeof(long double) == 12, but only 10 bytes significant
204
const unsigned int _S_word[4] = { 0, 0, 0, Word };
205
return *reinterpret_cast<const Number*>(
206
reinterpret_cast<const char *>(&_S_word)+16-
207
(sizeof(Number) == 12 ? 10 : sizeof(Number)));
213
// Base class for floating-point numbers.
214
template <class __number,
215
int __Digits, int __Digits10,
216
int __MinExp, int __MaxExp,
217
int __MinExp10, int __MaxExp10,
218
unsigned int __InfinityWord,
219
unsigned int __QNaNWord, unsigned int __SNaNWord,
221
float_round_style __RoundStyle>
222
class _Floating_limits : public _Numeric_limits_base<__number>
225
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_specialized, true);
227
BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits, __Digits);
228
BOOST_STL_DECLARE_LIMITS_MEMBER(int, digits10, __Digits10);
230
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_signed, true);
232
BOOST_STL_DECLARE_LIMITS_MEMBER(int, radix, 2);
234
BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent, __MinExp);
235
BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent, __MaxExp);
236
BOOST_STL_DECLARE_LIMITS_MEMBER(int, min_exponent10, __MinExp10);
237
BOOST_STL_DECLARE_LIMITS_MEMBER(int, max_exponent10, __MaxExp10);
239
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_infinity, true);
240
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_quiet_NaN, true);
241
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_signaling_NaN, true);
242
BOOST_STL_DECLARE_LIMITS_MEMBER(float_denorm_style,
244
denorm_indeterminate);
245
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, has_denorm_loss, false);
248
static __number infinity() throw() {
249
return float_helper<__number, __InfinityWord>::get_word();
251
static __number quiet_NaN() throw() {
252
return float_helper<__number,__QNaNWord>::get_word();
254
static __number signaling_NaN() throw() {
255
return float_helper<__number,__SNaNWord>::get_word();
258
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_iec559, __IsIEC559);
259
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, is_bounded, true);
260
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, traps, false /* was: true */ );
261
BOOST_STL_DECLARE_LIMITS_MEMBER(bool, tinyness_before, false);
263
BOOST_STL_DECLARE_LIMITS_MEMBER(float_round_style, round_style, __RoundStyle);
266
// Class numeric_limits
268
// The unspecialized class.
271
class numeric_limits : public _Numeric_limits_base<T> {};
273
// Specializations for all built-in integral types.
276
class numeric_limits<bool>
277
: public _Integer_limits<bool, false, true, 0>
281
class numeric_limits<char>
282
: public _Integer_limits<char, CHAR_MIN, CHAR_MAX>
286
class numeric_limits<signed char>
287
: public _Integer_limits<signed char, SCHAR_MIN, SCHAR_MAX>
291
class numeric_limits<unsigned char>
292
: public _Integer_limits<unsigned char, 0, UCHAR_MAX>
295
#ifndef BOOST_NO_INTRINSIC_WCHAR_T
297
class numeric_limits<wchar_t>
298
#if !defined(WCHAR_MAX) || !defined(WCHAR_MIN)
299
#if defined(_WIN32) || defined(__CYGWIN__)
300
: public _Integer_limits<wchar_t, 0, USHRT_MAX>
301
#elif defined(__hppa)
302
// wchar_t has "unsigned int" as the underlying type
303
: public _Integer_limits<wchar_t, 0, UINT_MAX>
305
// assume that wchar_t has "int" as the underlying type
306
: public _Integer_limits<wchar_t, INT_MIN, INT_MAX>
309
// we have WCHAR_MIN and WCHAR_MAX defined, so use it
310
: public _Integer_limits<wchar_t, WCHAR_MIN, WCHAR_MAX>
316
class numeric_limits<short>
317
: public _Integer_limits<short, SHRT_MIN, SHRT_MAX>
321
class numeric_limits<unsigned short>
322
: public _Integer_limits<unsigned short, 0, USHRT_MAX>
326
class numeric_limits<int>
327
: public _Integer_limits<int, INT_MIN, INT_MAX>
331
class numeric_limits<unsigned int>
332
: public _Integer_limits<unsigned int, 0, UINT_MAX>
336
class numeric_limits<long>
337
: public _Integer_limits<long, LONG_MIN, LONG_MAX>
341
class numeric_limits<unsigned long>
342
: public _Integer_limits<unsigned long, 0, ULONG_MAX>
347
// Some compilers have long long, but don't define the
348
// LONGLONG_MIN and LONGLONG_MAX macros in limits.h. This
349
// assumes that long long is 64 bits.
350
#if !defined(LONGLONG_MAX) && !defined(ULONGLONG_MAX)
352
# define ULONGLONG_MAX 0xffffffffffffffffLLU
353
# define LONGLONG_MAX 0x7fffffffffffffffLL
357
#if !defined(LONGLONG_MIN)
358
# define LONGLONG_MIN (-LONGLONG_MAX - 1)
362
#if !defined(ULONGLONG_MIN)
363
# define ULONGLONG_MIN 0
366
#endif /* __GNUC__ */
368
// Specializations for all built-in floating-point type.
370
template<> class numeric_limits<float>
371
: public _Floating_limits<float,
372
FLT_MANT_DIG, // Binary digits of precision
373
FLT_DIG, // Decimal digits of precision
374
FLT_MIN_EXP, // Minimum exponent
375
FLT_MAX_EXP, // Maximum exponent
376
FLT_MIN_10_EXP, // Minimum base 10 exponent
377
FLT_MAX_10_EXP, // Maximum base 10 exponent
378
#if defined(BOOST_BIG_ENDIAN)
379
0x7f80 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
380
0x7f81 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
381
0x7fc1 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
383
0x7f800000u, // Last word of +infinity
384
0x7f810000u, // Last word of quiet NaN
385
0x7fc10000u, // Last word of signaling NaN
387
true, // conforms to iec559
391
static float min() throw() { return FLT_MIN; }
392
static float denorm_min() throw() { return FLT_MIN; }
393
static float max() throw() { return FLT_MAX; }
394
static float epsilon() throw() { return FLT_EPSILON; }
395
static float round_error() throw() { return 0.5f; } // Units: ulps.
398
template<> class numeric_limits<double>
399
: public _Floating_limits<double,
400
DBL_MANT_DIG, // Binary digits of precision
401
DBL_DIG, // Decimal digits of precision
402
DBL_MIN_EXP, // Minimum exponent
403
DBL_MAX_EXP, // Maximum exponent
404
DBL_MIN_10_EXP, // Minimum base 10 exponent
405
DBL_MAX_10_EXP, // Maximum base 10 exponent
406
#if defined(BOOST_BIG_ENDIAN)
407
0x7ff0 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
408
0x7ff1 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
409
0x7ff9 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
411
0x7ff00000u, // Last word of +infinity
412
0x7ff10000u, // Last word of quiet NaN
413
0x7ff90000u, // Last word of signaling NaN
415
true, // conforms to iec559
419
static double min() throw() { return DBL_MIN; }
420
static double denorm_min() throw() { return DBL_MIN; }
421
static double max() throw() { return DBL_MAX; }
422
static double epsilon() throw() { return DBL_EPSILON; }
423
static double round_error() throw() { return 0.5; } // Units: ulps.
426
template<> class numeric_limits<long double>
427
: public _Floating_limits<long double,
428
LDBL_MANT_DIG, // Binary digits of precision
429
LDBL_DIG, // Decimal digits of precision
430
LDBL_MIN_EXP, // Minimum exponent
431
LDBL_MAX_EXP, // Maximum exponent
432
LDBL_MIN_10_EXP,// Minimum base 10 exponent
433
LDBL_MAX_10_EXP,// Maximum base 10 exponent
434
#if defined(BOOST_BIG_ENDIAN)
435
0x7ff0 << (sizeof(int)*CHAR_BIT-16), // Last word of +infinity
436
0x7ff1 << (sizeof(int)*CHAR_BIT-16), // Last word of quiet NaN
437
0x7ff9 << (sizeof(int)*CHAR_BIT-16), // Last word of signaling NaN
439
0x7fff8000u, // Last word of +infinity
440
0x7fffc000u, // Last word of quiet NaN
441
0x7fff9000u, // Last word of signaling NaN
443
false, // Doesn't conform to iec559
447
static long double min() throw() { return LDBL_MIN; }
448
static long double denorm_min() throw() { return LDBL_MIN; }
449
static long double max() throw() { return LDBL_MAX; }
450
static long double epsilon() throw() { return LDBL_EPSILON; }
451
static long double round_error() throw() { return 4; } // Units: ulps.
456
#endif /* BOOST_SGI_CPP_LIMITS */