1 | // The template and inlines for the numeric_limits classes. -*- C++ -*- |
2 | |
3 | // Copyright (C) 1999-2014 Free Software Foundation, Inc. |
4 | // |
5 | // This file is part of the GNU ISO C++ Library. This library is free |
6 | // software; you can redistribute it and/or modify it under the |
7 | // terms of the GNU General Public License as published by the |
8 | // Free Software Foundation; either version 3, or (at your option) |
9 | // any later version. |
10 | |
11 | // This library is distributed in the hope that it will be useful, |
12 | // but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
14 | // GNU General Public License for more details. |
15 | |
16 | // Under Section 7 of GPL version 3, you are granted additional |
17 | // permissions described in the GCC Runtime Library Exception, version |
18 | // 3.1, as published by the Free Software Foundation. |
19 | |
20 | // You should have received a copy of the GNU General Public License and |
21 | // a copy of the GCC Runtime Library Exception along with this program; |
22 | // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see |
23 | // <http://www.gnu.org/licenses/>. |
24 | |
25 | /** @file include/limits |
26 | * This is a Standard C++ Library header. |
27 | */ |
28 | |
29 | // Note: this is not a conforming implementation. |
30 | // Written by Gabriel Dos Reis <gdr@codesourcery.com> |
31 | |
32 | // |
33 | // ISO 14882:1998 |
34 | // 18.2.1 |
35 | // |
36 | |
37 | #ifndef _GLIBCXX_NUMERIC_LIMITS |
38 | #define _GLIBCXX_NUMERIC_LIMITS 1 |
39 | |
40 | #pragma GCC system_header |
41 | |
42 | #include <bits/c++config.h> |
43 | |
44 | // |
45 | // The numeric_limits<> traits document implementation-defined aspects |
46 | // of fundamental arithmetic data types (integers and floating points). |
47 | // From Standard C++ point of view, there are 14 such types: |
48 | // * integers |
49 | // bool (1) |
50 | // char, signed char, unsigned char, wchar_t (4) |
51 | // short, unsigned short (2) |
52 | // int, unsigned (2) |
53 | // long, unsigned long (2) |
54 | // |
55 | // * floating points |
56 | // float (1) |
57 | // double (1) |
58 | // long double (1) |
59 | // |
60 | // GNU C++ understands (where supported by the host C-library) |
61 | // * integer |
62 | // long long, unsigned long long (2) |
63 | // |
64 | // which brings us to 16 fundamental arithmetic data types in GNU C++. |
65 | // |
66 | // |
67 | // Since a numeric_limits<> is a bit tricky to get right, we rely on |
68 | // an interface composed of macros which should be defined in config/os |
69 | // or config/cpu when they differ from the generic (read arbitrary) |
70 | // definitions given here. |
71 | // |
72 | |
73 | // These values can be overridden in the target configuration file. |
74 | // The default values are appropriate for many 32-bit targets. |
75 | |
76 | // GCC only intrinsically supports modulo integral types. The only remaining |
77 | // integral exceptional values is division by zero. Only targets that do not |
78 | // signal division by zero in some "hard to ignore" way should use false. |
79 | #ifndef __glibcxx_integral_traps |
80 | # define __glibcxx_integral_traps true |
81 | #endif |
82 | |
83 | // float |
84 | // |
85 | |
86 | // Default values. Should be overridden in configuration files if necessary. |
87 | |
88 | #ifndef __glibcxx_float_has_denorm_loss |
89 | # define __glibcxx_float_has_denorm_loss false |
90 | #endif |
91 | #ifndef __glibcxx_float_traps |
92 | # define __glibcxx_float_traps false |
93 | #endif |
94 | #ifndef __glibcxx_float_tinyness_before |
95 | # define __glibcxx_float_tinyness_before false |
96 | #endif |
97 | |
98 | // double |
99 | |
100 | // Default values. Should be overridden in configuration files if necessary. |
101 | |
102 | #ifndef __glibcxx_double_has_denorm_loss |
103 | # define __glibcxx_double_has_denorm_loss false |
104 | #endif |
105 | #ifndef __glibcxx_double_traps |
106 | # define __glibcxx_double_traps false |
107 | #endif |
108 | #ifndef __glibcxx_double_tinyness_before |
109 | # define __glibcxx_double_tinyness_before false |
110 | #endif |
111 | |
112 | // long double |
113 | |
114 | // Default values. Should be overridden in configuration files if necessary. |
115 | |
116 | #ifndef __glibcxx_long_double_has_denorm_loss |
117 | # define __glibcxx_long_double_has_denorm_loss false |
118 | #endif |
119 | #ifndef __glibcxx_long_double_traps |
120 | # define __glibcxx_long_double_traps false |
121 | #endif |
122 | #ifndef __glibcxx_long_double_tinyness_before |
123 | # define __glibcxx_long_double_tinyness_before false |
124 | #endif |
125 | |
126 | // You should not need to define any macros below this point. |
127 | |
128 | #define __glibcxx_signed(T) ((T)(-1) < 0) |
129 | |
130 | #define __glibcxx_min(T) \ |
131 | (__glibcxx_signed (T) ? -__glibcxx_max (T) - 1 : (T)0) |
132 | |
133 | #define __glibcxx_max(T) \ |
134 | (__glibcxx_signed (T) ? \ |
135 | (((((T)1 << (__glibcxx_digits (T) - 1)) - 1) << 1) + 1) : ~(T)0) |
136 | |
137 | #define __glibcxx_digits(T) \ |
138 | (sizeof(T) * __CHAR_BIT__ - __glibcxx_signed (T)) |
139 | |
140 | // The fraction 643/2136 approximates log10(2) to 7 significant digits. |
141 | #define __glibcxx_digits10(T) \ |
142 | (__glibcxx_digits (T) * 643L / 2136) |
143 | |
144 | #define __glibcxx_max_digits10(T) \ |
145 | (2 + (T) * 643L / 2136) |
146 | |
147 | namespace std _GLIBCXX_VISIBILITY(default) |
148 | { |
149 | _GLIBCXX_BEGIN_NAMESPACE_VERSION |
150 | |
151 | /** |
152 | * @brief Describes the rounding style for floating-point types. |
153 | * |
154 | * This is used in the std::numeric_limits class. |
155 | */ |
156 | enum float_round_style |
157 | { |
158 | round_indeterminate = -1, /// Intermediate. |
159 | round_toward_zero = 0, /// To zero. |
160 | round_to_nearest = 1, /// To the nearest representable value. |
161 | round_toward_infinity = 2, /// To infinity. |
162 | round_toward_neg_infinity = 3 /// To negative infinity. |
163 | }; |
164 | |
165 | /** |
166 | * @brief Describes the denormalization for floating-point types. |
167 | * |
168 | * These values represent the presence or absence of a variable number |
169 | * of exponent bits. This type is used in the std::numeric_limits class. |
170 | */ |
171 | enum float_denorm_style |
172 | { |
173 | /// Indeterminate at compile time whether denormalized values are allowed. |
174 | denorm_indeterminate = -1, |
175 | /// The type does not allow denormalized values. |
176 | denorm_absent = 0, |
177 | /// The type allows denormalized values. |
178 | denorm_present = 1 |
179 | }; |
180 | |
181 | /** |
182 | * @brief Part of std::numeric_limits. |
183 | * |
184 | * The @c static @c const members are usable as integral constant |
185 | * expressions. |
186 | * |
187 | * @note This is a separate class for purposes of efficiency; you |
188 | * should only access these members as part of an instantiation |
189 | * of the std::numeric_limits class. |
190 | */ |
191 | struct __numeric_limits_base |
192 | { |
193 | /** This will be true for all fundamental types (which have |
194 | specializations), and false for everything else. */ |
195 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = false; |
196 | |
197 | /** The number of @c radix digits that be represented without change: for |
198 | integer types, the number of non-sign bits in the mantissa; for |
199 | floating types, the number of @c radix digits in the mantissa. */ |
200 | static _GLIBCXX_USE_CONSTEXPR int digits = 0; |
201 | |
202 | /** The number of base 10 digits that can be represented without change. */ |
203 | static _GLIBCXX_USE_CONSTEXPR int digits10 = 0; |
204 | |
205 | #if __cplusplus >= 201103L |
206 | /** The number of base 10 digits required to ensure that values which |
207 | differ are always differentiated. */ |
208 | static constexpr int max_digits10 = 0; |
209 | #endif |
210 | |
211 | /** True if the type is signed. */ |
212 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
213 | |
214 | /** True if the type is integer. */ |
215 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = false; |
216 | |
217 | /** True if the type uses an exact representation. All integer types are |
218 | exact, but not all exact types are integer. For example, rational and |
219 | fixed-exponent representations are exact but not integer. */ |
220 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = false; |
221 | |
222 | /** For integer types, specifies the base of the representation. For |
223 | floating types, specifies the base of the exponent representation. */ |
224 | static _GLIBCXX_USE_CONSTEXPR int radix = 0; |
225 | |
226 | /** The minimum negative integer such that @c radix raised to the power of |
227 | (one less than that integer) is a normalized floating point number. */ |
228 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
229 | |
230 | /** The minimum negative integer such that 10 raised to that power is in |
231 | the range of normalized floating point numbers. */ |
232 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
233 | |
234 | /** The maximum positive integer such that @c radix raised to the power of |
235 | (one less than that integer) is a representable finite floating point |
236 | number. */ |
237 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
238 | |
239 | /** The maximum positive integer such that 10 raised to that power is in |
240 | the range of representable finite floating point numbers. */ |
241 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
242 | |
243 | /** True if the type has a representation for positive infinity. */ |
244 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
245 | |
246 | /** True if the type has a representation for a quiet (non-signaling) |
247 | Not a Number. */ |
248 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
249 | |
250 | /** True if the type has a representation for a signaling |
251 | Not a Number. */ |
252 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
253 | |
254 | /** See std::float_denorm_style for more information. */ |
255 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm = denorm_absent; |
256 | |
257 | /** True if loss of accuracy is detected as a denormalization loss, |
258 | rather than as an inexact result. */ |
259 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
260 | |
261 | /** True if-and-only-if the type adheres to the IEC 559 standard, also |
262 | known as IEEE 754. (Only makes sense for floating point types.) */ |
263 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
264 | |
265 | /** True if the set of values representable by the type is |
266 | finite. All built-in types are bounded, this member would be |
267 | false for arbitrary precision types. */ |
268 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = false; |
269 | |
270 | /** True if the type is @e modulo. A type is modulo if, for any |
271 | operation involving +, -, or * on values of that type whose |
272 | result would fall outside the range [min(),max()], the value |
273 | returned differs from the true value by an integer multiple of |
274 | max() - min() + 1. On most machines, this is false for floating |
275 | types, true for unsigned integers, and true for signed integers. |
276 | See PR22200 about signed integers. */ |
277 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
278 | |
279 | /** True if trapping is implemented for this type. */ |
280 | static _GLIBCXX_USE_CONSTEXPR bool traps = false; |
281 | |
282 | /** True if tininess is detected before rounding. (see IEC 559) */ |
283 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
284 | |
285 | /** See std::float_round_style for more information. This is only |
286 | meaningful for floating types; integer types will all be |
287 | round_toward_zero. */ |
288 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style = |
289 | round_toward_zero; |
290 | }; |
291 | |
292 | /** |
293 | * @brief Properties of fundamental types. |
294 | * |
295 | * This class allows a program to obtain information about the |
296 | * representation of a fundamental type on a given platform. For |
297 | * non-fundamental types, the functions will return 0 and the data |
298 | * members will all be @c false. |
299 | * |
300 | * _GLIBCXX_RESOLVE_LIB_DEFECTS: DRs 201 and 184 (hi Gaby!) are |
301 | * noted, but not incorporated in this documented (yet). |
302 | */ |
303 | template<typename _Tp> |
304 | struct numeric_limits : public __numeric_limits_base |
305 | { |
306 | /** The minimum finite value, or for floating types with |
307 | denormalization, the minimum positive normalized value. */ |
308 | static _GLIBCXX_CONSTEXPR _Tp |
309 | min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
310 | |
311 | /** The maximum finite value. */ |
312 | static _GLIBCXX_CONSTEXPR _Tp |
313 | max() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
314 | |
315 | #if __cplusplus >= 201103L |
316 | /** A finite value x such that there is no other finite value y |
317 | * where y < x. */ |
318 | static constexpr _Tp |
319 | lowest() noexcept { return _Tp(); } |
320 | #endif |
321 | |
322 | /** The @e machine @e epsilon: the difference between 1 and the least |
323 | value greater than 1 that is representable. */ |
324 | static _GLIBCXX_CONSTEXPR _Tp |
325 | epsilon() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
326 | |
327 | /** The maximum rounding error measurement (see LIA-1). */ |
328 | static _GLIBCXX_CONSTEXPR _Tp |
329 | round_error() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
330 | |
331 | /** The representation of positive infinity, if @c has_infinity. */ |
332 | static _GLIBCXX_CONSTEXPR _Tp |
333 | infinity() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
334 | |
335 | /** The representation of a quiet Not a Number, |
336 | if @c has_quiet_NaN. */ |
337 | static _GLIBCXX_CONSTEXPR _Tp |
338 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
339 | |
340 | /** The representation of a signaling Not a Number, if |
341 | @c has_signaling_NaN. */ |
342 | static _GLIBCXX_CONSTEXPR _Tp |
343 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
344 | |
345 | /** The minimum positive denormalized value. For types where |
346 | @c has_denorm is false, this is the minimum positive normalized |
347 | value. */ |
348 | static _GLIBCXX_CONSTEXPR _Tp |
349 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return _Tp(); } |
350 | }; |
351 | |
352 | #if __cplusplus >= 201103L |
353 | template<typename _Tp> |
354 | struct numeric_limits<const _Tp> |
355 | : public numeric_limits<_Tp> { }; |
356 | |
357 | template<typename _Tp> |
358 | struct numeric_limits<volatile _Tp> |
359 | : public numeric_limits<_Tp> { }; |
360 | |
361 | template<typename _Tp> |
362 | struct numeric_limits<const volatile _Tp> |
363 | : public numeric_limits<_Tp> { }; |
364 | #endif |
365 | |
366 | // Now there follow 16 explicit specializations. Yes, 16. Make sure |
367 | // you get the count right. (18 in c++0x mode) |
368 | |
369 | /// numeric_limits<bool> specialization. |
370 | template<> |
371 | struct numeric_limits<bool> |
372 | { |
373 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
374 | |
375 | static _GLIBCXX_CONSTEXPR bool |
376 | min() _GLIBCXX_USE_NOEXCEPT { return false; } |
377 | |
378 | static _GLIBCXX_CONSTEXPR bool |
379 | max() _GLIBCXX_USE_NOEXCEPT { return true; } |
380 | |
381 | #if __cplusplus >= 201103L |
382 | static constexpr bool |
383 | lowest() noexcept { return min(); } |
384 | #endif |
385 | static _GLIBCXX_USE_CONSTEXPR int digits = 1; |
386 | static _GLIBCXX_USE_CONSTEXPR int digits10 = 0; |
387 | #if __cplusplus >= 201103L |
388 | static constexpr int max_digits10 = 0; |
389 | #endif |
390 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
391 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
392 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
393 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
394 | |
395 | static _GLIBCXX_CONSTEXPR bool |
396 | epsilon() _GLIBCXX_USE_NOEXCEPT { return false; } |
397 | |
398 | static _GLIBCXX_CONSTEXPR bool |
399 | round_error() _GLIBCXX_USE_NOEXCEPT { return false; } |
400 | |
401 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
402 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
403 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
404 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
405 | |
406 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
407 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
408 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
409 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
410 | = denorm_absent; |
411 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
412 | |
413 | static _GLIBCXX_CONSTEXPR bool |
414 | infinity() _GLIBCXX_USE_NOEXCEPT { return false; } |
415 | |
416 | static _GLIBCXX_CONSTEXPR bool |
417 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return false; } |
418 | |
419 | static _GLIBCXX_CONSTEXPR bool |
420 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return false; } |
421 | |
422 | static _GLIBCXX_CONSTEXPR bool |
423 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return false; } |
424 | |
425 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
426 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
427 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
428 | |
429 | // It is not clear what it means for a boolean type to trap. |
430 | // This is a DR on the LWG issue list. Here, I use integer |
431 | // promotion semantics. |
432 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
433 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
434 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
435 | = round_toward_zero; |
436 | }; |
437 | |
438 | /// numeric_limits<char> specialization. |
439 | template<> |
440 | struct numeric_limits<char> |
441 | { |
442 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
443 | |
444 | static _GLIBCXX_CONSTEXPR char |
445 | min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min(char); } |
446 | |
447 | static _GLIBCXX_CONSTEXPR char |
448 | max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max(char); } |
449 | |
450 | #if __cplusplus >= 201103L |
451 | static constexpr char |
452 | lowest() noexcept { return min(); } |
453 | #endif |
454 | |
455 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (char); |
456 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (char); |
457 | #if __cplusplus >= 201103L |
458 | static constexpr int max_digits10 = 0; |
459 | #endif |
460 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (char); |
461 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
462 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
463 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
464 | |
465 | static _GLIBCXX_CONSTEXPR char |
466 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
467 | |
468 | static _GLIBCXX_CONSTEXPR char |
469 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
470 | |
471 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
472 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
473 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
474 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
475 | |
476 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
477 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
478 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
479 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
480 | = denorm_absent; |
481 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
482 | |
483 | static _GLIBCXX_CONSTEXPR |
484 | char infinity() _GLIBCXX_USE_NOEXCEPT { return char(); } |
485 | |
486 | static _GLIBCXX_CONSTEXPR char |
487 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); } |
488 | |
489 | static _GLIBCXX_CONSTEXPR char |
490 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return char(); } |
491 | |
492 | static _GLIBCXX_CONSTEXPR char |
493 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<char>(0); } |
494 | |
495 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
496 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
497 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed; |
498 | |
499 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
500 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
501 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
502 | = round_toward_zero; |
503 | }; |
504 | |
505 | /// numeric_limits<signed char> specialization. |
506 | template<> |
507 | struct numeric_limits<signed char> |
508 | { |
509 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
510 | |
511 | static _GLIBCXX_CONSTEXPR signed char |
512 | min() _GLIBCXX_USE_NOEXCEPT { return -__SCHAR_MAX__ - 1; } |
513 | |
514 | static _GLIBCXX_CONSTEXPR signed char |
515 | max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__; } |
516 | |
517 | #if __cplusplus >= 201103L |
518 | static constexpr signed char |
519 | lowest() noexcept { return min(); } |
520 | #endif |
521 | |
522 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (signed char); |
523 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
524 | = __glibcxx_digits10 (signed char); |
525 | #if __cplusplus >= 201103L |
526 | static constexpr int max_digits10 = 0; |
527 | #endif |
528 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
529 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
530 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
531 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
532 | |
533 | static _GLIBCXX_CONSTEXPR signed char |
534 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
535 | |
536 | static _GLIBCXX_CONSTEXPR signed char |
537 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
538 | |
539 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
540 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
541 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
542 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
543 | |
544 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
545 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
546 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
547 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
548 | = denorm_absent; |
549 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
550 | |
551 | static _GLIBCXX_CONSTEXPR signed char |
552 | infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); } |
553 | |
554 | static _GLIBCXX_CONSTEXPR signed char |
555 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<signed char>(0); } |
556 | |
557 | static _GLIBCXX_CONSTEXPR signed char |
558 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
559 | { return static_cast<signed char>(0); } |
560 | |
561 | static _GLIBCXX_CONSTEXPR signed char |
562 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
563 | { return static_cast<signed char>(0); } |
564 | |
565 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
566 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
567 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
568 | |
569 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
570 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
571 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
572 | = round_toward_zero; |
573 | }; |
574 | |
575 | /// numeric_limits<unsigned char> specialization. |
576 | template<> |
577 | struct numeric_limits<unsigned char> |
578 | { |
579 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
580 | |
581 | static _GLIBCXX_CONSTEXPR unsigned char |
582 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
583 | |
584 | static _GLIBCXX_CONSTEXPR unsigned char |
585 | max() _GLIBCXX_USE_NOEXCEPT { return __SCHAR_MAX__ * 2U + 1; } |
586 | |
587 | #if __cplusplus >= 201103L |
588 | static constexpr unsigned char |
589 | lowest() noexcept { return min(); } |
590 | #endif |
591 | |
592 | static _GLIBCXX_USE_CONSTEXPR int digits |
593 | = __glibcxx_digits (unsigned char); |
594 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
595 | = __glibcxx_digits10 (unsigned char); |
596 | #if __cplusplus >= 201103L |
597 | static constexpr int max_digits10 = 0; |
598 | #endif |
599 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
600 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
601 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
602 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
603 | |
604 | static _GLIBCXX_CONSTEXPR unsigned char |
605 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
606 | |
607 | static _GLIBCXX_CONSTEXPR unsigned char |
608 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
609 | |
610 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
611 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
612 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
613 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
614 | |
615 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
616 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
617 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
618 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
619 | = denorm_absent; |
620 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
621 | |
622 | static _GLIBCXX_CONSTEXPR unsigned char |
623 | infinity() _GLIBCXX_USE_NOEXCEPT |
624 | { return static_cast<unsigned char>(0); } |
625 | |
626 | static _GLIBCXX_CONSTEXPR unsigned char |
627 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
628 | { return static_cast<unsigned char>(0); } |
629 | |
630 | static _GLIBCXX_CONSTEXPR unsigned char |
631 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
632 | { return static_cast<unsigned char>(0); } |
633 | |
634 | static _GLIBCXX_CONSTEXPR unsigned char |
635 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
636 | { return static_cast<unsigned char>(0); } |
637 | |
638 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
639 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
640 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
641 | |
642 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
643 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
644 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
645 | = round_toward_zero; |
646 | }; |
647 | |
648 | /// numeric_limits<wchar_t> specialization. |
649 | template<> |
650 | struct numeric_limits<wchar_t> |
651 | { |
652 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
653 | |
654 | static _GLIBCXX_CONSTEXPR wchar_t |
655 | min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (wchar_t); } |
656 | |
657 | static _GLIBCXX_CONSTEXPR wchar_t |
658 | max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (wchar_t); } |
659 | |
660 | #if __cplusplus >= 201103L |
661 | static constexpr wchar_t |
662 | lowest() noexcept { return min(); } |
663 | #endif |
664 | |
665 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (wchar_t); |
666 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
667 | = __glibcxx_digits10 (wchar_t); |
668 | #if __cplusplus >= 201103L |
669 | static constexpr int max_digits10 = 0; |
670 | #endif |
671 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = __glibcxx_signed (wchar_t); |
672 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
673 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
674 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
675 | |
676 | static _GLIBCXX_CONSTEXPR wchar_t |
677 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
678 | |
679 | static _GLIBCXX_CONSTEXPR wchar_t |
680 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
681 | |
682 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
683 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
684 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
685 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
686 | |
687 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
688 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
689 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
690 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
691 | = denorm_absent; |
692 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
693 | |
694 | static _GLIBCXX_CONSTEXPR wchar_t |
695 | infinity() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); } |
696 | |
697 | static _GLIBCXX_CONSTEXPR wchar_t |
698 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); } |
699 | |
700 | static _GLIBCXX_CONSTEXPR wchar_t |
701 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); } |
702 | |
703 | static _GLIBCXX_CONSTEXPR wchar_t |
704 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return wchar_t(); } |
705 | |
706 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
707 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
708 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = !is_signed; |
709 | |
710 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
711 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
712 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
713 | = round_toward_zero; |
714 | }; |
715 | |
716 | #if __cplusplus >= 201103L |
717 | /// numeric_limits<char16_t> specialization. |
718 | template<> |
719 | struct numeric_limits<char16_t> |
720 | { |
721 | static constexpr bool is_specialized = true; |
722 | |
723 | static constexpr char16_t |
724 | min() noexcept { return __glibcxx_min (char16_t); } |
725 | |
726 | static constexpr char16_t |
727 | max() noexcept { return __glibcxx_max (char16_t); } |
728 | |
729 | static constexpr char16_t |
730 | lowest() noexcept { return min(); } |
731 | |
732 | static constexpr int digits = __glibcxx_digits (char16_t); |
733 | static constexpr int digits10 = __glibcxx_digits10 (char16_t); |
734 | static constexpr int max_digits10 = 0; |
735 | static constexpr bool is_signed = __glibcxx_signed (char16_t); |
736 | static constexpr bool is_integer = true; |
737 | static constexpr bool is_exact = true; |
738 | static constexpr int radix = 2; |
739 | |
740 | static constexpr char16_t |
741 | epsilon() noexcept { return 0; } |
742 | |
743 | static constexpr char16_t |
744 | round_error() noexcept { return 0; } |
745 | |
746 | static constexpr int min_exponent = 0; |
747 | static constexpr int min_exponent10 = 0; |
748 | static constexpr int max_exponent = 0; |
749 | static constexpr int max_exponent10 = 0; |
750 | |
751 | static constexpr bool has_infinity = false; |
752 | static constexpr bool has_quiet_NaN = false; |
753 | static constexpr bool has_signaling_NaN = false; |
754 | static constexpr float_denorm_style has_denorm = denorm_absent; |
755 | static constexpr bool has_denorm_loss = false; |
756 | |
757 | static constexpr char16_t |
758 | infinity() noexcept { return char16_t(); } |
759 | |
760 | static constexpr char16_t |
761 | quiet_NaN() noexcept { return char16_t(); } |
762 | |
763 | static constexpr char16_t |
764 | signaling_NaN() noexcept { return char16_t(); } |
765 | |
766 | static constexpr char16_t |
767 | denorm_min() noexcept { return char16_t(); } |
768 | |
769 | static constexpr bool is_iec559 = false; |
770 | static constexpr bool is_bounded = true; |
771 | static constexpr bool is_modulo = !is_signed; |
772 | |
773 | static constexpr bool traps = __glibcxx_integral_traps; |
774 | static constexpr bool tinyness_before = false; |
775 | static constexpr float_round_style round_style = round_toward_zero; |
776 | }; |
777 | |
778 | /// numeric_limits<char32_t> specialization. |
779 | template<> |
780 | struct numeric_limits<char32_t> |
781 | { |
782 | static constexpr bool is_specialized = true; |
783 | |
784 | static constexpr char32_t |
785 | min() noexcept { return __glibcxx_min (char32_t); } |
786 | |
787 | static constexpr char32_t |
788 | max() noexcept { return __glibcxx_max (char32_t); } |
789 | |
790 | static constexpr char32_t |
791 | lowest() noexcept { return min(); } |
792 | |
793 | static constexpr int digits = __glibcxx_digits (char32_t); |
794 | static constexpr int digits10 = __glibcxx_digits10 (char32_t); |
795 | static constexpr int max_digits10 = 0; |
796 | static constexpr bool is_signed = __glibcxx_signed (char32_t); |
797 | static constexpr bool is_integer = true; |
798 | static constexpr bool is_exact = true; |
799 | static constexpr int radix = 2; |
800 | |
801 | static constexpr char32_t |
802 | epsilon() noexcept { return 0; } |
803 | |
804 | static constexpr char32_t |
805 | round_error() noexcept { return 0; } |
806 | |
807 | static constexpr int min_exponent = 0; |
808 | static constexpr int min_exponent10 = 0; |
809 | static constexpr int max_exponent = 0; |
810 | static constexpr int max_exponent10 = 0; |
811 | |
812 | static constexpr bool has_infinity = false; |
813 | static constexpr bool has_quiet_NaN = false; |
814 | static constexpr bool has_signaling_NaN = false; |
815 | static constexpr float_denorm_style has_denorm = denorm_absent; |
816 | static constexpr bool has_denorm_loss = false; |
817 | |
818 | static constexpr char32_t |
819 | infinity() noexcept { return char32_t(); } |
820 | |
821 | static constexpr char32_t |
822 | quiet_NaN() noexcept { return char32_t(); } |
823 | |
824 | static constexpr char32_t |
825 | signaling_NaN() noexcept { return char32_t(); } |
826 | |
827 | static constexpr char32_t |
828 | denorm_min() noexcept { return char32_t(); } |
829 | |
830 | static constexpr bool is_iec559 = false; |
831 | static constexpr bool is_bounded = true; |
832 | static constexpr bool is_modulo = !is_signed; |
833 | |
834 | static constexpr bool traps = __glibcxx_integral_traps; |
835 | static constexpr bool tinyness_before = false; |
836 | static constexpr float_round_style round_style = round_toward_zero; |
837 | }; |
838 | #endif |
839 | |
840 | /// numeric_limits<short> specialization. |
841 | template<> |
842 | struct numeric_limits<short> |
843 | { |
844 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
845 | |
846 | static _GLIBCXX_CONSTEXPR short |
847 | min() _GLIBCXX_USE_NOEXCEPT { return -__SHRT_MAX__ - 1; } |
848 | |
849 | static _GLIBCXX_CONSTEXPR short |
850 | max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__; } |
851 | |
852 | #if __cplusplus >= 201103L |
853 | static constexpr short |
854 | lowest() noexcept { return min(); } |
855 | #endif |
856 | |
857 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (short); |
858 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (short); |
859 | #if __cplusplus >= 201103L |
860 | static constexpr int max_digits10 = 0; |
861 | #endif |
862 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
863 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
864 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
865 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
866 | |
867 | static _GLIBCXX_CONSTEXPR short |
868 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
869 | |
870 | static _GLIBCXX_CONSTEXPR short |
871 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
872 | |
873 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
874 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
875 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
876 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
877 | |
878 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
879 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
880 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
881 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
882 | = denorm_absent; |
883 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
884 | |
885 | static _GLIBCXX_CONSTEXPR short |
886 | infinity() _GLIBCXX_USE_NOEXCEPT { return short(); } |
887 | |
888 | static _GLIBCXX_CONSTEXPR short |
889 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); } |
890 | |
891 | static _GLIBCXX_CONSTEXPR short |
892 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return short(); } |
893 | |
894 | static _GLIBCXX_CONSTEXPR short |
895 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return short(); } |
896 | |
897 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
898 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
899 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
900 | |
901 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
902 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
903 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
904 | = round_toward_zero; |
905 | }; |
906 | |
907 | /// numeric_limits<unsigned short> specialization. |
908 | template<> |
909 | struct numeric_limits<unsigned short> |
910 | { |
911 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
912 | |
913 | static _GLIBCXX_CONSTEXPR unsigned short |
914 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
915 | |
916 | static _GLIBCXX_CONSTEXPR unsigned short |
917 | max() _GLIBCXX_USE_NOEXCEPT { return __SHRT_MAX__ * 2U + 1; } |
918 | |
919 | #if __cplusplus >= 201103L |
920 | static constexpr unsigned short |
921 | lowest() noexcept { return min(); } |
922 | #endif |
923 | |
924 | static _GLIBCXX_USE_CONSTEXPR int digits |
925 | = __glibcxx_digits (unsigned short); |
926 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
927 | = __glibcxx_digits10 (unsigned short); |
928 | #if __cplusplus >= 201103L |
929 | static constexpr int max_digits10 = 0; |
930 | #endif |
931 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
932 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
933 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
934 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
935 | |
936 | static _GLIBCXX_CONSTEXPR unsigned short |
937 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
938 | |
939 | static _GLIBCXX_CONSTEXPR unsigned short |
940 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
941 | |
942 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
943 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
944 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
945 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
946 | |
947 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
948 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
949 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
950 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
951 | = denorm_absent; |
952 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
953 | |
954 | static _GLIBCXX_CONSTEXPR unsigned short |
955 | infinity() _GLIBCXX_USE_NOEXCEPT |
956 | { return static_cast<unsigned short>(0); } |
957 | |
958 | static _GLIBCXX_CONSTEXPR unsigned short |
959 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
960 | { return static_cast<unsigned short>(0); } |
961 | |
962 | static _GLIBCXX_CONSTEXPR unsigned short |
963 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
964 | { return static_cast<unsigned short>(0); } |
965 | |
966 | static _GLIBCXX_CONSTEXPR unsigned short |
967 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
968 | { return static_cast<unsigned short>(0); } |
969 | |
970 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
971 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
972 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
973 | |
974 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
975 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
976 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
977 | = round_toward_zero; |
978 | }; |
979 | |
980 | /// numeric_limits<int> specialization. |
981 | template<> |
982 | struct numeric_limits<int> |
983 | { |
984 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
985 | |
986 | static _GLIBCXX_CONSTEXPR int |
987 | min() _GLIBCXX_USE_NOEXCEPT { return -__INT_MAX__ - 1; } |
988 | |
989 | static _GLIBCXX_CONSTEXPR int |
990 | max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__; } |
991 | |
992 | #if __cplusplus >= 201103L |
993 | static constexpr int |
994 | lowest() noexcept { return min(); } |
995 | #endif |
996 | |
997 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (int); |
998 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (int); |
999 | #if __cplusplus >= 201103L |
1000 | static constexpr int max_digits10 = 0; |
1001 | #endif |
1002 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1003 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1004 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1005 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1006 | |
1007 | static _GLIBCXX_CONSTEXPR int |
1008 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1009 | |
1010 | static _GLIBCXX_CONSTEXPR int |
1011 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1012 | |
1013 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1014 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1015 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1016 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1017 | |
1018 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1019 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1020 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1021 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1022 | = denorm_absent; |
1023 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1024 | |
1025 | static _GLIBCXX_CONSTEXPR int |
1026 | infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); } |
1027 | |
1028 | static _GLIBCXX_CONSTEXPR int |
1029 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); } |
1030 | |
1031 | static _GLIBCXX_CONSTEXPR int |
1032 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); } |
1033 | |
1034 | static _GLIBCXX_CONSTEXPR int |
1035 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<int>(0); } |
1036 | |
1037 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1038 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1039 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1040 | |
1041 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1042 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1043 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1044 | = round_toward_zero; |
1045 | }; |
1046 | |
1047 | /// numeric_limits<unsigned int> specialization. |
1048 | template<> |
1049 | struct numeric_limits<unsigned int> |
1050 | { |
1051 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1052 | |
1053 | static _GLIBCXX_CONSTEXPR unsigned int |
1054 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1055 | |
1056 | static _GLIBCXX_CONSTEXPR unsigned int |
1057 | max() _GLIBCXX_USE_NOEXCEPT { return __INT_MAX__ * 2U + 1; } |
1058 | |
1059 | #if __cplusplus >= 201103L |
1060 | static constexpr unsigned int |
1061 | lowest() noexcept { return min(); } |
1062 | #endif |
1063 | |
1064 | static _GLIBCXX_USE_CONSTEXPR int digits |
1065 | = __glibcxx_digits (unsigned int); |
1066 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1067 | = __glibcxx_digits10 (unsigned int); |
1068 | #if __cplusplus >= 201103L |
1069 | static constexpr int max_digits10 = 0; |
1070 | #endif |
1071 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
1072 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1073 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1074 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1075 | |
1076 | static _GLIBCXX_CONSTEXPR unsigned int |
1077 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1078 | |
1079 | static _GLIBCXX_CONSTEXPR unsigned int |
1080 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1081 | |
1082 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1083 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1084 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1085 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1086 | |
1087 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1088 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1089 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1090 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1091 | = denorm_absent; |
1092 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1093 | |
1094 | static _GLIBCXX_CONSTEXPR unsigned int |
1095 | infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned int>(0); } |
1096 | |
1097 | static _GLIBCXX_CONSTEXPR unsigned int |
1098 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
1099 | { return static_cast<unsigned int>(0); } |
1100 | |
1101 | static _GLIBCXX_CONSTEXPR unsigned int |
1102 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1103 | { return static_cast<unsigned int>(0); } |
1104 | |
1105 | static _GLIBCXX_CONSTEXPR unsigned int |
1106 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
1107 | { return static_cast<unsigned int>(0); } |
1108 | |
1109 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1110 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1111 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
1112 | |
1113 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1114 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1115 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1116 | = round_toward_zero; |
1117 | }; |
1118 | |
1119 | /// numeric_limits<long> specialization. |
1120 | template<> |
1121 | struct numeric_limits<long> |
1122 | { |
1123 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1124 | |
1125 | static _GLIBCXX_CONSTEXPR long |
1126 | min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_MAX__ - 1; } |
1127 | |
1128 | static _GLIBCXX_CONSTEXPR long |
1129 | max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__; } |
1130 | |
1131 | #if __cplusplus >= 201103L |
1132 | static constexpr long |
1133 | lowest() noexcept { return min(); } |
1134 | #endif |
1135 | |
1136 | static _GLIBCXX_USE_CONSTEXPR int digits = __glibcxx_digits (long); |
1137 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __glibcxx_digits10 (long); |
1138 | #if __cplusplus >= 201103L |
1139 | static constexpr int max_digits10 = 0; |
1140 | #endif |
1141 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1142 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1143 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1144 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1145 | |
1146 | static _GLIBCXX_CONSTEXPR long |
1147 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1148 | |
1149 | static _GLIBCXX_CONSTEXPR long |
1150 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1151 | |
1152 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1153 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1154 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1155 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1156 | |
1157 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1158 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1159 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1160 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1161 | = denorm_absent; |
1162 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1163 | |
1164 | static _GLIBCXX_CONSTEXPR long |
1165 | infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); } |
1166 | |
1167 | static _GLIBCXX_CONSTEXPR long |
1168 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); } |
1169 | |
1170 | static _GLIBCXX_CONSTEXPR long |
1171 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); } |
1172 | |
1173 | static _GLIBCXX_CONSTEXPR long |
1174 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long>(0); } |
1175 | |
1176 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1177 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1178 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1179 | |
1180 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1181 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1182 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1183 | = round_toward_zero; |
1184 | }; |
1185 | |
1186 | /// numeric_limits<unsigned long> specialization. |
1187 | template<> |
1188 | struct numeric_limits<unsigned long> |
1189 | { |
1190 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1191 | |
1192 | static _GLIBCXX_CONSTEXPR unsigned long |
1193 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1194 | |
1195 | static _GLIBCXX_CONSTEXPR unsigned long |
1196 | max() _GLIBCXX_USE_NOEXCEPT { return __LONG_MAX__ * 2UL + 1; } |
1197 | |
1198 | #if __cplusplus >= 201103L |
1199 | static constexpr unsigned long |
1200 | lowest() noexcept { return min(); } |
1201 | #endif |
1202 | |
1203 | static _GLIBCXX_USE_CONSTEXPR int digits |
1204 | = __glibcxx_digits (unsigned long); |
1205 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1206 | = __glibcxx_digits10 (unsigned long); |
1207 | #if __cplusplus >= 201103L |
1208 | static constexpr int max_digits10 = 0; |
1209 | #endif |
1210 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
1211 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1212 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1213 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1214 | |
1215 | static _GLIBCXX_CONSTEXPR unsigned long |
1216 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1217 | |
1218 | static _GLIBCXX_CONSTEXPR unsigned long |
1219 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1220 | |
1221 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1222 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1223 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1224 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1225 | |
1226 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1227 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1228 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1229 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1230 | = denorm_absent; |
1231 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1232 | |
1233 | static _GLIBCXX_CONSTEXPR unsigned long |
1234 | infinity() _GLIBCXX_USE_NOEXCEPT |
1235 | { return static_cast<unsigned long>(0); } |
1236 | |
1237 | static _GLIBCXX_CONSTEXPR unsigned long |
1238 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
1239 | { return static_cast<unsigned long>(0); } |
1240 | |
1241 | static _GLIBCXX_CONSTEXPR unsigned long |
1242 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1243 | { return static_cast<unsigned long>(0); } |
1244 | |
1245 | static _GLIBCXX_CONSTEXPR unsigned long |
1246 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
1247 | { return static_cast<unsigned long>(0); } |
1248 | |
1249 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1250 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1251 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
1252 | |
1253 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1254 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1255 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1256 | = round_toward_zero; |
1257 | }; |
1258 | |
1259 | /// numeric_limits<long long> specialization. |
1260 | template<> |
1261 | struct numeric_limits<long long> |
1262 | { |
1263 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1264 | |
1265 | static _GLIBCXX_CONSTEXPR long long |
1266 | min() _GLIBCXX_USE_NOEXCEPT { return -__LONG_LONG_MAX__ - 1; } |
1267 | |
1268 | static _GLIBCXX_CONSTEXPR long long |
1269 | max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__; } |
1270 | |
1271 | #if __cplusplus >= 201103L |
1272 | static constexpr long long |
1273 | lowest() noexcept { return min(); } |
1274 | #endif |
1275 | |
1276 | static _GLIBCXX_USE_CONSTEXPR int digits |
1277 | = __glibcxx_digits (long long); |
1278 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1279 | = __glibcxx_digits10 (long long); |
1280 | #if __cplusplus >= 201103L |
1281 | static constexpr int max_digits10 = 0; |
1282 | #endif |
1283 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1284 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1285 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1286 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1287 | |
1288 | static _GLIBCXX_CONSTEXPR long long |
1289 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1290 | |
1291 | static _GLIBCXX_CONSTEXPR long long |
1292 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1293 | |
1294 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1295 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1296 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1297 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1298 | |
1299 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1300 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1301 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1302 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1303 | = denorm_absent; |
1304 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1305 | |
1306 | static _GLIBCXX_CONSTEXPR long long |
1307 | infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); } |
1308 | |
1309 | static _GLIBCXX_CONSTEXPR long long |
1310 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); } |
1311 | |
1312 | static _GLIBCXX_CONSTEXPR long long |
1313 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1314 | { return static_cast<long long>(0); } |
1315 | |
1316 | static _GLIBCXX_CONSTEXPR long long |
1317 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<long long>(0); } |
1318 | |
1319 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1320 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1321 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1322 | |
1323 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1324 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1325 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1326 | = round_toward_zero; |
1327 | }; |
1328 | |
1329 | /// numeric_limits<unsigned long long> specialization. |
1330 | template<> |
1331 | struct numeric_limits<unsigned long long> |
1332 | { |
1333 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1334 | |
1335 | static _GLIBCXX_CONSTEXPR unsigned long long |
1336 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1337 | |
1338 | static _GLIBCXX_CONSTEXPR unsigned long long |
1339 | max() _GLIBCXX_USE_NOEXCEPT { return __LONG_LONG_MAX__ * 2ULL + 1; } |
1340 | |
1341 | #if __cplusplus >= 201103L |
1342 | static constexpr unsigned long long |
1343 | lowest() noexcept { return min(); } |
1344 | #endif |
1345 | |
1346 | static _GLIBCXX_USE_CONSTEXPR int digits |
1347 | = __glibcxx_digits (unsigned long long); |
1348 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1349 | = __glibcxx_digits10 (unsigned long long); |
1350 | #if __cplusplus >= 201103L |
1351 | static constexpr int max_digits10 = 0; |
1352 | #endif |
1353 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
1354 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1355 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1356 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1357 | |
1358 | static _GLIBCXX_CONSTEXPR unsigned long long |
1359 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1360 | |
1361 | static _GLIBCXX_CONSTEXPR unsigned long long |
1362 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1363 | |
1364 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1365 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1366 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1367 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1368 | |
1369 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1370 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1371 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1372 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1373 | = denorm_absent; |
1374 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1375 | |
1376 | static _GLIBCXX_CONSTEXPR unsigned long long |
1377 | infinity() _GLIBCXX_USE_NOEXCEPT |
1378 | { return static_cast<unsigned long long>(0); } |
1379 | |
1380 | static _GLIBCXX_CONSTEXPR unsigned long long |
1381 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
1382 | { return static_cast<unsigned long long>(0); } |
1383 | |
1384 | static _GLIBCXX_CONSTEXPR unsigned long long |
1385 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1386 | { return static_cast<unsigned long long>(0); } |
1387 | |
1388 | static _GLIBCXX_CONSTEXPR unsigned long long |
1389 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
1390 | { return static_cast<unsigned long long>(0); } |
1391 | |
1392 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1393 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1394 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
1395 | |
1396 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1397 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1398 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1399 | = round_toward_zero; |
1400 | }; |
1401 | |
1402 | #if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_INT128) |
1403 | /// numeric_limits<__int128> specialization. |
1404 | template<> |
1405 | struct numeric_limits<__int128> |
1406 | { |
1407 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1408 | |
1409 | static _GLIBCXX_CONSTEXPR __int128 |
1410 | min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min (__int128); } |
1411 | |
1412 | static _GLIBCXX_CONSTEXPR __int128 |
1413 | max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (__int128); } |
1414 | |
1415 | #if __cplusplus >= 201103L |
1416 | static constexpr __int128 |
1417 | lowest() noexcept { return min(); } |
1418 | #endif |
1419 | |
1420 | static _GLIBCXX_USE_CONSTEXPR int digits |
1421 | = __glibcxx_digits (__int128); |
1422 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1423 | = __glibcxx_digits10 (__int128); |
1424 | #if __cplusplus >= 201103L |
1425 | static constexpr int max_digits10 = 0; |
1426 | #endif |
1427 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1428 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1429 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1430 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1431 | |
1432 | static _GLIBCXX_CONSTEXPR __int128 |
1433 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1434 | |
1435 | static _GLIBCXX_CONSTEXPR __int128 |
1436 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1437 | |
1438 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1439 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1440 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1441 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1442 | |
1443 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1444 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1445 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1446 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1447 | = denorm_absent; |
1448 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1449 | |
1450 | static _GLIBCXX_CONSTEXPR __int128 |
1451 | infinity() _GLIBCXX_USE_NOEXCEPT |
1452 | { return static_cast<__int128>(0); } |
1453 | |
1454 | static _GLIBCXX_CONSTEXPR __int128 |
1455 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
1456 | { return static_cast<__int128>(0); } |
1457 | |
1458 | static _GLIBCXX_CONSTEXPR __int128 |
1459 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1460 | { return static_cast<__int128>(0); } |
1461 | |
1462 | static _GLIBCXX_CONSTEXPR __int128 |
1463 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
1464 | { return static_cast<__int128>(0); } |
1465 | |
1466 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1467 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1468 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1469 | |
1470 | static _GLIBCXX_USE_CONSTEXPR bool traps |
1471 | = __glibcxx_integral_traps; |
1472 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1473 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1474 | = round_toward_zero; |
1475 | }; |
1476 | |
1477 | /// numeric_limits<unsigned __int128> specialization. |
1478 | template<> |
1479 | struct numeric_limits<unsigned __int128> |
1480 | { |
1481 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1482 | |
1483 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1484 | min() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1485 | |
1486 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1487 | max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max (unsigned __int128); } |
1488 | |
1489 | #if __cplusplus >= 201103L |
1490 | static constexpr unsigned __int128 |
1491 | lowest() noexcept { return min(); } |
1492 | #endif |
1493 | |
1494 | static _GLIBCXX_USE_CONSTEXPR int digits |
1495 | = __glibcxx_digits (unsigned __int128); |
1496 | static _GLIBCXX_USE_CONSTEXPR int digits10 |
1497 | = __glibcxx_digits10 (unsigned __int128); |
1498 | #if __cplusplus >= 201103L |
1499 | static constexpr int max_digits10 = 0; |
1500 | #endif |
1501 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; |
1502 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; |
1503 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; |
1504 | static _GLIBCXX_USE_CONSTEXPR int radix = 2; |
1505 | |
1506 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1507 | epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1508 | |
1509 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1510 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } |
1511 | |
1512 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; |
1513 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; |
1514 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; |
1515 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; |
1516 | |
1517 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; |
1518 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; |
1519 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; |
1520 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1521 | = denorm_absent; |
1522 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; |
1523 | |
1524 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1525 | infinity() _GLIBCXX_USE_NOEXCEPT |
1526 | { return static_cast<unsigned __int128>(0); } |
1527 | |
1528 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1529 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT |
1530 | { return static_cast<unsigned __int128>(0); } |
1531 | |
1532 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1533 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT |
1534 | { return static_cast<unsigned __int128>(0); } |
1535 | |
1536 | static _GLIBCXX_CONSTEXPR unsigned __int128 |
1537 | denorm_min() _GLIBCXX_USE_NOEXCEPT |
1538 | { return static_cast<unsigned __int128>(0); } |
1539 | |
1540 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; |
1541 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1542 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; |
1543 | |
1544 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; |
1545 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; |
1546 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1547 | = round_toward_zero; |
1548 | }; |
1549 | #endif |
1550 | |
1551 | /// numeric_limits<float> specialization. |
1552 | template<> |
1553 | struct numeric_limits<float> |
1554 | { |
1555 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1556 | |
1557 | static _GLIBCXX_CONSTEXPR float |
1558 | min() _GLIBCXX_USE_NOEXCEPT { return __FLT_MIN__; } |
1559 | |
1560 | static _GLIBCXX_CONSTEXPR float |
1561 | max() _GLIBCXX_USE_NOEXCEPT { return __FLT_MAX__; } |
1562 | |
1563 | #if __cplusplus >= 201103L |
1564 | static constexpr float |
1565 | lowest() noexcept { return -__FLT_MAX__; } |
1566 | #endif |
1567 | |
1568 | static _GLIBCXX_USE_CONSTEXPR int digits = __FLT_MANT_DIG__; |
1569 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __FLT_DIG__; |
1570 | #if __cplusplus >= 201103L |
1571 | static constexpr int max_digits10 |
1572 | = __glibcxx_max_digits10 (__FLT_MANT_DIG__); |
1573 | #endif |
1574 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1575 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = false; |
1576 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = false; |
1577 | static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__; |
1578 | |
1579 | static _GLIBCXX_CONSTEXPR float |
1580 | epsilon() _GLIBCXX_USE_NOEXCEPT { return __FLT_EPSILON__; } |
1581 | |
1582 | static _GLIBCXX_CONSTEXPR float |
1583 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5F; } |
1584 | |
1585 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = __FLT_MIN_EXP__; |
1586 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __FLT_MIN_10_EXP__; |
1587 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = __FLT_MAX_EXP__; |
1588 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __FLT_MAX_10_EXP__; |
1589 | |
1590 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __FLT_HAS_INFINITY__; |
1591 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __FLT_HAS_QUIET_NAN__; |
1592 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN; |
1593 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1594 | = bool(__FLT_HAS_DENORM__) ? denorm_present : denorm_absent; |
1595 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss |
1596 | = __glibcxx_float_has_denorm_loss; |
1597 | |
1598 | static _GLIBCXX_CONSTEXPR float |
1599 | infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_valf(); } |
1600 | |
1601 | static _GLIBCXX_CONSTEXPR float |
1602 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanf("" ); } |
1603 | |
1604 | static _GLIBCXX_CONSTEXPR float |
1605 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansf("" ); } |
1606 | |
1607 | static _GLIBCXX_CONSTEXPR float |
1608 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return __FLT_DENORM_MIN__; } |
1609 | |
1610 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 |
1611 | = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
1612 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1613 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1614 | |
1615 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_float_traps; |
1616 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before |
1617 | = __glibcxx_float_tinyness_before; |
1618 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1619 | = round_to_nearest; |
1620 | }; |
1621 | |
1622 | #undef __glibcxx_float_has_denorm_loss |
1623 | #undef __glibcxx_float_traps |
1624 | #undef __glibcxx_float_tinyness_before |
1625 | |
1626 | /// numeric_limits<double> specialization. |
1627 | template<> |
1628 | struct numeric_limits<double> |
1629 | { |
1630 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1631 | |
1632 | static _GLIBCXX_CONSTEXPR double |
1633 | min() _GLIBCXX_USE_NOEXCEPT { return __DBL_MIN__; } |
1634 | |
1635 | static _GLIBCXX_CONSTEXPR double |
1636 | max() _GLIBCXX_USE_NOEXCEPT { return __DBL_MAX__; } |
1637 | |
1638 | #if __cplusplus >= 201103L |
1639 | static constexpr double |
1640 | lowest() noexcept { return -__DBL_MAX__; } |
1641 | #endif |
1642 | |
1643 | static _GLIBCXX_USE_CONSTEXPR int digits = __DBL_MANT_DIG__; |
1644 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __DBL_DIG__; |
1645 | #if __cplusplus >= 201103L |
1646 | static constexpr int max_digits10 |
1647 | = __glibcxx_max_digits10 (__DBL_MANT_DIG__); |
1648 | #endif |
1649 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1650 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = false; |
1651 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = false; |
1652 | static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__; |
1653 | |
1654 | static _GLIBCXX_CONSTEXPR double |
1655 | epsilon() _GLIBCXX_USE_NOEXCEPT { return __DBL_EPSILON__; } |
1656 | |
1657 | static _GLIBCXX_CONSTEXPR double |
1658 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5; } |
1659 | |
1660 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = __DBL_MIN_EXP__; |
1661 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __DBL_MIN_10_EXP__; |
1662 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = __DBL_MAX_EXP__; |
1663 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __DBL_MAX_10_EXP__; |
1664 | |
1665 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __DBL_HAS_INFINITY__; |
1666 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __DBL_HAS_QUIET_NAN__; |
1667 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN; |
1668 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1669 | = bool(__DBL_HAS_DENORM__) ? denorm_present : denorm_absent; |
1670 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss |
1671 | = __glibcxx_double_has_denorm_loss; |
1672 | |
1673 | static _GLIBCXX_CONSTEXPR double |
1674 | infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_val(); } |
1675 | |
1676 | static _GLIBCXX_CONSTEXPR double |
1677 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nan("" ); } |
1678 | |
1679 | static _GLIBCXX_CONSTEXPR double |
1680 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nans("" ); } |
1681 | |
1682 | static _GLIBCXX_CONSTEXPR double |
1683 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return __DBL_DENORM_MIN__; } |
1684 | |
1685 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 |
1686 | = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
1687 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1688 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1689 | |
1690 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_double_traps; |
1691 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before |
1692 | = __glibcxx_double_tinyness_before; |
1693 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style |
1694 | = round_to_nearest; |
1695 | }; |
1696 | |
1697 | #undef __glibcxx_double_has_denorm_loss |
1698 | #undef __glibcxx_double_traps |
1699 | #undef __glibcxx_double_tinyness_before |
1700 | |
1701 | /// numeric_limits<long double> specialization. |
1702 | template<> |
1703 | struct numeric_limits<long double> |
1704 | { |
1705 | static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; |
1706 | |
1707 | static _GLIBCXX_CONSTEXPR long double |
1708 | min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MIN__; } |
1709 | |
1710 | static _GLIBCXX_CONSTEXPR long double |
1711 | max() _GLIBCXX_USE_NOEXCEPT { return __LDBL_MAX__; } |
1712 | |
1713 | #if __cplusplus >= 201103L |
1714 | static constexpr long double |
1715 | lowest() noexcept { return -__LDBL_MAX__; } |
1716 | #endif |
1717 | |
1718 | static _GLIBCXX_USE_CONSTEXPR int digits = __LDBL_MANT_DIG__; |
1719 | static _GLIBCXX_USE_CONSTEXPR int digits10 = __LDBL_DIG__; |
1720 | #if __cplusplus >= 201103L |
1721 | static _GLIBCXX_USE_CONSTEXPR int max_digits10 |
1722 | = __glibcxx_max_digits10 (__LDBL_MANT_DIG__); |
1723 | #endif |
1724 | static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; |
1725 | static _GLIBCXX_USE_CONSTEXPR bool is_integer = false; |
1726 | static _GLIBCXX_USE_CONSTEXPR bool is_exact = false; |
1727 | static _GLIBCXX_USE_CONSTEXPR int radix = __FLT_RADIX__; |
1728 | |
1729 | static _GLIBCXX_CONSTEXPR long double |
1730 | epsilon() _GLIBCXX_USE_NOEXCEPT { return __LDBL_EPSILON__; } |
1731 | |
1732 | static _GLIBCXX_CONSTEXPR long double |
1733 | round_error() _GLIBCXX_USE_NOEXCEPT { return 0.5L; } |
1734 | |
1735 | static _GLIBCXX_USE_CONSTEXPR int min_exponent = __LDBL_MIN_EXP__; |
1736 | static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = __LDBL_MIN_10_EXP__; |
1737 | static _GLIBCXX_USE_CONSTEXPR int max_exponent = __LDBL_MAX_EXP__; |
1738 | static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = __LDBL_MAX_10_EXP__; |
1739 | |
1740 | static _GLIBCXX_USE_CONSTEXPR bool has_infinity = __LDBL_HAS_INFINITY__; |
1741 | static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = __LDBL_HAS_QUIET_NAN__; |
1742 | static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = has_quiet_NaN; |
1743 | static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm |
1744 | = bool(__LDBL_HAS_DENORM__) ? denorm_present : denorm_absent; |
1745 | static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss |
1746 | = __glibcxx_long_double_has_denorm_loss; |
1747 | |
1748 | static _GLIBCXX_CONSTEXPR long double |
1749 | infinity() _GLIBCXX_USE_NOEXCEPT { return __builtin_huge_vall(); } |
1750 | |
1751 | static _GLIBCXX_CONSTEXPR long double |
1752 | quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nanl("" ); } |
1753 | |
1754 | static _GLIBCXX_CONSTEXPR long double |
1755 | signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return __builtin_nansl("" ); } |
1756 | |
1757 | static _GLIBCXX_CONSTEXPR long double |
1758 | denorm_min() _GLIBCXX_USE_NOEXCEPT { return __LDBL_DENORM_MIN__; } |
1759 | |
1760 | static _GLIBCXX_USE_CONSTEXPR bool is_iec559 |
1761 | = has_infinity && has_quiet_NaN && has_denorm == denorm_present; |
1762 | static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; |
1763 | static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; |
1764 | |
1765 | static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_long_double_traps; |
1766 | static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = |
1767 | __glibcxx_long_double_tinyness_before; |
1768 | static _GLIBCXX_USE_CONSTEXPR float_round_style round_style = |
1769 | round_to_nearest; |
1770 | }; |
1771 | |
1772 | #undef __glibcxx_long_double_has_denorm_loss |
1773 | #undef __glibcxx_long_double_traps |
1774 | #undef __glibcxx_long_double_tinyness_before |
1775 | |
1776 | _GLIBCXX_END_NAMESPACE_VERSION |
1777 | } // namespace |
1778 | |
1779 | #undef __glibcxx_signed |
1780 | #undef __glibcxx_min |
1781 | #undef __glibcxx_max |
1782 | #undef __glibcxx_digits |
1783 | #undef __glibcxx_digits10 |
1784 | #undef __glibcxx_max_digits10 |
1785 | |
1786 | #endif // _GLIBCXX_NUMERIC_LIMITS |
1787 | |