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-rw-r--r--gl/intprops.h318
1 files changed, 277 insertions, 41 deletions
diff --git a/gl/intprops.h b/gl/intprops.h
index 46f4d47..f57f9b4 100644
--- a/gl/intprops.h
+++ b/gl/intprops.h
@@ -1,7 +1,6 @@
1/* intprops.h -- properties of integer types 1/* intprops.h -- properties of integer types
2 2
3 Copyright (C) 2001, 2002, 2003, 2004, 2005, 2009, 2010 Free Software 3 Copyright (C) 2001-2005, 2009-2013 Free Software Foundation, Inc.
4 Foundation, Inc.
5 4
6 This program is free software: you can redistribute it and/or modify 5 This program is free software: you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by 6 it under the terms of the GNU General Public License as published by
@@ -18,66 +17,303 @@
18 17
19/* Written by Paul Eggert. */ 18/* Written by Paul Eggert. */
20 19
21#ifndef GL_INTPROPS_H 20#ifndef _GL_INTPROPS_H
22# define GL_INTPROPS_H 21#define _GL_INTPROPS_H
23 22
24# include <limits.h> 23#include <limits.h>
24
25/* Return an integer value, converted to the same type as the integer
26 expression E after integer type promotion. V is the unconverted value. */
27#define _GL_INT_CONVERT(e, v) (0 * (e) + (v))
28
29/* Act like _GL_INT_CONVERT (E, -V) but work around a bug in IRIX 6.5 cc; see
30 <http://lists.gnu.org/archive/html/bug-gnulib/2011-05/msg00406.html>. */
31#define _GL_INT_NEGATE_CONVERT(e, v) (0 * (e) - (v))
25 32
26/* The extra casts in the following macros work around compiler bugs, 33/* The extra casts in the following macros work around compiler bugs,
27 e.g., in Cray C 5.0.3.0. */ 34 e.g., in Cray C 5.0.3.0. */
28 35
29/* True if the arithmetic type T is an integer type. bool counts as 36/* True if the arithmetic type T is an integer type. bool counts as
30 an integer. */ 37 an integer. */
31# define TYPE_IS_INTEGER(t) ((t) 1.5 == 1) 38#define TYPE_IS_INTEGER(t) ((t) 1.5 == 1)
32 39
33/* True if negative values of the signed integer type T use two's 40/* True if negative values of the signed integer type T use two's
34 complement, ones' complement, or signed magnitude representation, 41 complement, ones' complement, or signed magnitude representation,
35 respectively. Much GNU code assumes two's complement, but some 42 respectively. Much GNU code assumes two's complement, but some
36 people like to be portable to all possible C hosts. */ 43 people like to be portable to all possible C hosts. */
37# define TYPE_TWOS_COMPLEMENT(t) ((t) ~ (t) 0 == (t) -1) 44#define TYPE_TWOS_COMPLEMENT(t) ((t) ~ (t) 0 == (t) -1)
38# define TYPE_ONES_COMPLEMENT(t) ((t) ~ (t) 0 == 0) 45#define TYPE_ONES_COMPLEMENT(t) ((t) ~ (t) 0 == 0)
39# define TYPE_SIGNED_MAGNITUDE(t) ((t) ~ (t) 0 < (t) -1) 46#define TYPE_SIGNED_MAGNITUDE(t) ((t) ~ (t) 0 < (t) -1)
47
48/* True if the signed integer expression E uses two's complement. */
49#define _GL_INT_TWOS_COMPLEMENT(e) (~ _GL_INT_CONVERT (e, 0) == -1)
40 50
41/* True if the arithmetic type T is signed. */ 51/* True if the arithmetic type T is signed. */
42# define TYPE_SIGNED(t) (! ((t) 0 < (t) -1)) 52#define TYPE_SIGNED(t) (! ((t) 0 < (t) -1))
43 53
44/* The maximum and minimum values for the integer type T. These 54/* Return 1 if the integer expression E, after integer promotion, has
55 a signed type. */
56#define _GL_INT_SIGNED(e) (_GL_INT_NEGATE_CONVERT (e, 1) < 0)
57
58
59/* Minimum and maximum values for integer types and expressions. These
45 macros have undefined behavior if T is signed and has padding bits. 60 macros have undefined behavior if T is signed and has padding bits.
46 If this is a problem for you, please let us know how to fix it for 61 If this is a problem for you, please let us know how to fix it for
47 your host. */ 62 your host. */
48# define TYPE_MINIMUM(t) \ 63
49 ((t) (! TYPE_SIGNED (t) \ 64/* The maximum and minimum values for the integer type T. */
50 ? (t) 0 \ 65#define TYPE_MINIMUM(t) \
51 : TYPE_SIGNED_MAGNITUDE (t) \ 66 ((t) (! TYPE_SIGNED (t) \
52 ? ~ (t) 0 \ 67 ? (t) 0 \
53 : ~ (t) 0 << (sizeof (t) * CHAR_BIT - 1))) 68 : TYPE_SIGNED_MAGNITUDE (t) \
54# define TYPE_MAXIMUM(t) \ 69 ? ~ (t) 0 \
55 ((t) (! TYPE_SIGNED (t) \ 70 : ~ TYPE_MAXIMUM (t)))
56 ? (t) -1 \ 71#define TYPE_MAXIMUM(t) \
57 : ~ (~ (t) 0 << (sizeof (t) * CHAR_BIT - 1)))) 72 ((t) (! TYPE_SIGNED (t) \
58 73 ? (t) -1 \
59/* Return zero if T can be determined to be an unsigned type. 74 : ((((t) 1 << (sizeof (t) * CHAR_BIT - 2)) - 1) * 2 + 1)))
60 Otherwise, return 1. 75
61 When compiling with GCC, INT_STRLEN_BOUND uses this macro to obtain a 76/* The maximum and minimum values for the type of the expression E,
62 tighter bound. Otherwise, it overestimates the true bound by one byte 77 after integer promotion. E should not have side effects. */
63 when applied to unsigned types of size 2, 4, 16, ... bytes. 78#define _GL_INT_MINIMUM(e) \
64 The symbol signed_type_or_expr__ is private to this header file. */ 79 (_GL_INT_SIGNED (e) \
65# if __GNUC__ >= 2 80 ? - _GL_INT_TWOS_COMPLEMENT (e) - _GL_SIGNED_INT_MAXIMUM (e) \
66# define signed_type_or_expr__(t) TYPE_SIGNED (__typeof__ (t)) 81 : _GL_INT_CONVERT (e, 0))
67# else 82#define _GL_INT_MAXIMUM(e) \
68# define signed_type_or_expr__(t) 1 83 (_GL_INT_SIGNED (e) \
69# endif 84 ? _GL_SIGNED_INT_MAXIMUM (e) \
85 : _GL_INT_NEGATE_CONVERT (e, 1))
86#define _GL_SIGNED_INT_MAXIMUM(e) \
87 (((_GL_INT_CONVERT (e, 1) << (sizeof ((e) + 0) * CHAR_BIT - 2)) - 1) * 2 + 1)
88
89
90/* Return 1 if the __typeof__ keyword works. This could be done by
91 'configure', but for now it's easier to do it by hand. */
92#if 2 <= __GNUC__ || defined __IBM__TYPEOF__ || 0x5110 <= __SUNPRO_C
93# define _GL_HAVE___TYPEOF__ 1
94#else
95# define _GL_HAVE___TYPEOF__ 0
96#endif
97
98/* Return 1 if the integer type or expression T might be signed. Return 0
99 if it is definitely unsigned. This macro does not evaluate its argument,
100 and expands to an integer constant expression. */
101#if _GL_HAVE___TYPEOF__
102# define _GL_SIGNED_TYPE_OR_EXPR(t) TYPE_SIGNED (__typeof__ (t))
103#else
104# define _GL_SIGNED_TYPE_OR_EXPR(t) 1
105#endif
106
107/* Bound on length of the string representing an unsigned integer
108 value representable in B bits. log10 (2.0) < 146/485. The
109 smallest value of B where this bound is not tight is 2621. */
110#define INT_BITS_STRLEN_BOUND(b) (((b) * 146 + 484) / 485)
70 111
71/* Bound on length of the string representing an integer type or expression T. 112/* Bound on length of the string representing an integer type or expression T.
72 Subtract 1 for the sign bit if T is signed; log10 (2.0) < 146/485; 113 Subtract 1 for the sign bit if T is signed, and then add 1 more for
73 add 1 for integer division truncation; add 1 more for a minus sign 114 a minus sign if needed.
74 if needed. */ 115
75# define INT_STRLEN_BOUND(t) \ 116 Because _GL_SIGNED_TYPE_OR_EXPR sometimes returns 0 when its argument is
76 ((sizeof (t) * CHAR_BIT - signed_type_or_expr__ (t)) * 146 / 485 \ 117 signed, this macro may overestimate the true bound by one byte when
77 + signed_type_or_expr__ (t) + 1) 118 applied to unsigned types of size 2, 4, 16, ... bytes. */
119#define INT_STRLEN_BOUND(t) \
120 (INT_BITS_STRLEN_BOUND (sizeof (t) * CHAR_BIT \
121 - _GL_SIGNED_TYPE_OR_EXPR (t)) \
122 + _GL_SIGNED_TYPE_OR_EXPR (t))
78 123
79/* Bound on buffer size needed to represent an integer type or expression T, 124/* Bound on buffer size needed to represent an integer type or expression T,
80 including the terminating null. */ 125 including the terminating null. */
81# define INT_BUFSIZE_BOUND(t) (INT_STRLEN_BOUND (t) + 1) 126#define INT_BUFSIZE_BOUND(t) (INT_STRLEN_BOUND (t) + 1)
127
128
129/* Range overflow checks.
130
131 The INT_<op>_RANGE_OVERFLOW macros return 1 if the corresponding C
132 operators might not yield numerically correct answers due to
133 arithmetic overflow. They do not rely on undefined or
134 implementation-defined behavior. Their implementations are simple
135 and straightforward, but they are a bit harder to use than the
136 INT_<op>_OVERFLOW macros described below.
137
138 Example usage:
139
140 long int i = ...;
141 long int j = ...;
142 if (INT_MULTIPLY_RANGE_OVERFLOW (i, j, LONG_MIN, LONG_MAX))
143 printf ("multiply would overflow");
144 else
145 printf ("product is %ld", i * j);
146
147 Restrictions on *_RANGE_OVERFLOW macros:
148
149 These macros do not check for all possible numerical problems or
150 undefined or unspecified behavior: they do not check for division
151 by zero, for bad shift counts, or for shifting negative numbers.
152
153 These macros may evaluate their arguments zero or multiple times,
154 so the arguments should not have side effects. The arithmetic
155 arguments (including the MIN and MAX arguments) must be of the same
156 integer type after the usual arithmetic conversions, and the type
157 must have minimum value MIN and maximum MAX. Unsigned types should
158 use a zero MIN of the proper type.
159
160 These macros are tuned for constant MIN and MAX. For commutative
161 operations such as A + B, they are also tuned for constant B. */
162
163/* Return 1 if A + B would overflow in [MIN,MAX] arithmetic.
164 See above for restrictions. */
165#define INT_ADD_RANGE_OVERFLOW(a, b, min, max) \
166 ((b) < 0 \
167 ? (a) < (min) - (b) \
168 : (max) - (b) < (a))
169
170/* Return 1 if A - B would overflow in [MIN,MAX] arithmetic.
171 See above for restrictions. */
172#define INT_SUBTRACT_RANGE_OVERFLOW(a, b, min, max) \
173 ((b) < 0 \
174 ? (max) + (b) < (a) \
175 : (a) < (min) + (b))
176
177/* Return 1 if - A would overflow in [MIN,MAX] arithmetic.
178 See above for restrictions. */
179#define INT_NEGATE_RANGE_OVERFLOW(a, min, max) \
180 ((min) < 0 \
181 ? (a) < - (max) \
182 : 0 < (a))
183
184/* Return 1 if A * B would overflow in [MIN,MAX] arithmetic.
185 See above for restrictions. Avoid && and || as they tickle
186 bugs in Sun C 5.11 2010/08/13 and other compilers; see
187 <http://lists.gnu.org/archive/html/bug-gnulib/2011-05/msg00401.html>. */
188#define INT_MULTIPLY_RANGE_OVERFLOW(a, b, min, max) \
189 ((b) < 0 \
190 ? ((a) < 0 \
191 ? (a) < (max) / (b) \
192 : (b) == -1 \
193 ? 0 \
194 : (min) / (b) < (a)) \
195 : (b) == 0 \
196 ? 0 \
197 : ((a) < 0 \
198 ? (a) < (min) / (b) \
199 : (max) / (b) < (a)))
200
201/* Return 1 if A / B would overflow in [MIN,MAX] arithmetic.
202 See above for restrictions. Do not check for division by zero. */
203#define INT_DIVIDE_RANGE_OVERFLOW(a, b, min, max) \
204 ((min) < 0 && (b) == -1 && (a) < - (max))
205
206/* Return 1 if A % B would overflow in [MIN,MAX] arithmetic.
207 See above for restrictions. Do not check for division by zero.
208 Mathematically, % should never overflow, but on x86-like hosts
209 INT_MIN % -1 traps, and the C standard permits this, so treat this
210 as an overflow too. */
211#define INT_REMAINDER_RANGE_OVERFLOW(a, b, min, max) \
212 INT_DIVIDE_RANGE_OVERFLOW (a, b, min, max)
213
214/* Return 1 if A << B would overflow in [MIN,MAX] arithmetic.
215 See above for restrictions. Here, MIN and MAX are for A only, and B need
216 not be of the same type as the other arguments. The C standard says that
217 behavior is undefined for shifts unless 0 <= B < wordwidth, and that when
218 A is negative then A << B has undefined behavior and A >> B has
219 implementation-defined behavior, but do not check these other
220 restrictions. */
221#define INT_LEFT_SHIFT_RANGE_OVERFLOW(a, b, min, max) \
222 ((a) < 0 \
223 ? (a) < (min) >> (b) \
224 : (max) >> (b) < (a))
225
226
227/* The _GL*_OVERFLOW macros have the same restrictions as the
228 *_RANGE_OVERFLOW macros, except that they do not assume that operands
229 (e.g., A and B) have the same type as MIN and MAX. Instead, they assume
230 that the result (e.g., A + B) has that type. */
231#define _GL_ADD_OVERFLOW(a, b, min, max) \
232 ((min) < 0 ? INT_ADD_RANGE_OVERFLOW (a, b, min, max) \
233 : (a) < 0 ? (b) <= (a) + (b) \
234 : (b) < 0 ? (a) <= (a) + (b) \
235 : (a) + (b) < (b))
236#define _GL_SUBTRACT_OVERFLOW(a, b, min, max) \
237 ((min) < 0 ? INT_SUBTRACT_RANGE_OVERFLOW (a, b, min, max) \
238 : (a) < 0 ? 1 \
239 : (b) < 0 ? (a) - (b) <= (a) \
240 : (a) < (b))
241#define _GL_MULTIPLY_OVERFLOW(a, b, min, max) \
242 (((min) == 0 && (((a) < 0 && 0 < (b)) || ((b) < 0 && 0 < (a)))) \
243 || INT_MULTIPLY_RANGE_OVERFLOW (a, b, min, max))
244#define _GL_DIVIDE_OVERFLOW(a, b, min, max) \
245 ((min) < 0 ? (b) == _GL_INT_NEGATE_CONVERT (min, 1) && (a) < - (max) \
246 : (a) < 0 ? (b) <= (a) + (b) - 1 \
247 : (b) < 0 && (a) + (b) <= (a))
248#define _GL_REMAINDER_OVERFLOW(a, b, min, max) \
249 ((min) < 0 ? (b) == _GL_INT_NEGATE_CONVERT (min, 1) && (a) < - (max) \
250 : (a) < 0 ? (a) % (b) != ((max) - (b) + 1) % (b) \
251 : (b) < 0 && ! _GL_UNSIGNED_NEG_MULTIPLE (a, b, max))
252
253/* Return a nonzero value if A is a mathematical multiple of B, where
254 A is unsigned, B is negative, and MAX is the maximum value of A's
255 type. A's type must be the same as (A % B)'s type. Normally (A %
256 -B == 0) suffices, but things get tricky if -B would overflow. */
257#define _GL_UNSIGNED_NEG_MULTIPLE(a, b, max) \
258 (((b) < -_GL_SIGNED_INT_MAXIMUM (b) \
259 ? (_GL_SIGNED_INT_MAXIMUM (b) == (max) \
260 ? (a) \
261 : (a) % (_GL_INT_CONVERT (a, _GL_SIGNED_INT_MAXIMUM (b)) + 1)) \
262 : (a) % - (b)) \
263 == 0)
264
265
266/* Integer overflow checks.
267
268 The INT_<op>_OVERFLOW macros return 1 if the corresponding C operators
269 might not yield numerically correct answers due to arithmetic overflow.
270 They work correctly on all known practical hosts, and do not rely
271 on undefined behavior due to signed arithmetic overflow.
272
273 Example usage:
274
275 long int i = ...;
276 long int j = ...;
277 if (INT_MULTIPLY_OVERFLOW (i, j))
278 printf ("multiply would overflow");
279 else
280 printf ("product is %ld", i * j);
281
282 These macros do not check for all possible numerical problems or
283 undefined or unspecified behavior: they do not check for division
284 by zero, for bad shift counts, or for shifting negative numbers.
285
286 These macros may evaluate their arguments zero or multiple times, so the
287 arguments should not have side effects.
288
289 These macros are tuned for their last argument being a constant.
290
291 Return 1 if the integer expressions A * B, A - B, -A, A * B, A / B,
292 A % B, and A << B would overflow, respectively. */
293
294#define INT_ADD_OVERFLOW(a, b) \
295 _GL_BINARY_OP_OVERFLOW (a, b, _GL_ADD_OVERFLOW)
296#define INT_SUBTRACT_OVERFLOW(a, b) \
297 _GL_BINARY_OP_OVERFLOW (a, b, _GL_SUBTRACT_OVERFLOW)
298#define INT_NEGATE_OVERFLOW(a) \
299 INT_NEGATE_RANGE_OVERFLOW (a, _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
300#define INT_MULTIPLY_OVERFLOW(a, b) \
301 _GL_BINARY_OP_OVERFLOW (a, b, _GL_MULTIPLY_OVERFLOW)
302#define INT_DIVIDE_OVERFLOW(a, b) \
303 _GL_BINARY_OP_OVERFLOW (a, b, _GL_DIVIDE_OVERFLOW)
304#define INT_REMAINDER_OVERFLOW(a, b) \
305 _GL_BINARY_OP_OVERFLOW (a, b, _GL_REMAINDER_OVERFLOW)
306#define INT_LEFT_SHIFT_OVERFLOW(a, b) \
307 INT_LEFT_SHIFT_RANGE_OVERFLOW (a, b, \
308 _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
309
310/* Return 1 if the expression A <op> B would overflow,
311 where OP_RESULT_OVERFLOW (A, B, MIN, MAX) does the actual test,
312 assuming MIN and MAX are the minimum and maximum for the result type.
313 Arguments should be free of side effects. */
314#define _GL_BINARY_OP_OVERFLOW(a, b, op_result_overflow) \
315 op_result_overflow (a, b, \
316 _GL_INT_MINIMUM (0 * (b) + (a)), \
317 _GL_INT_MAXIMUM (0 * (b) + (a)))
82 318
83#endif /* GL_INTPROPS_H */ 319#endif /* _GL_INTPROPS_H */