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Diffstat (limited to 'include/linux/overflow.h')
-rw-r--r-- | include/linux/overflow.h | 205 |
1 files changed, 205 insertions, 0 deletions
diff --git a/include/linux/overflow.h b/include/linux/overflow.h new file mode 100644 index 000000000000..c8890ec358a7 --- /dev/null +++ b/include/linux/overflow.h | |||
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1 | /* SPDX-License-Identifier: GPL-2.0 OR MIT */ | ||
2 | #ifndef __LINUX_OVERFLOW_H | ||
3 | #define __LINUX_OVERFLOW_H | ||
4 | |||
5 | #include <linux/compiler.h> | ||
6 | |||
7 | /* | ||
8 | * In the fallback code below, we need to compute the minimum and | ||
9 | * maximum values representable in a given type. These macros may also | ||
10 | * be useful elsewhere, so we provide them outside the | ||
11 | * COMPILER_HAS_GENERIC_BUILTIN_OVERFLOW block. | ||
12 | * | ||
13 | * It would seem more obvious to do something like | ||
14 | * | ||
15 | * #define type_min(T) (T)(is_signed_type(T) ? (T)1 << (8*sizeof(T)-1) : 0) | ||
16 | * #define type_max(T) (T)(is_signed_type(T) ? ((T)1 << (8*sizeof(T)-1)) - 1 : ~(T)0) | ||
17 | * | ||
18 | * Unfortunately, the middle expressions, strictly speaking, have | ||
19 | * undefined behaviour, and at least some versions of gcc warn about | ||
20 | * the type_max expression (but not if -fsanitize=undefined is in | ||
21 | * effect; in that case, the warning is deferred to runtime...). | ||
22 | * | ||
23 | * The slightly excessive casting in type_min is to make sure the | ||
24 | * macros also produce sensible values for the exotic type _Bool. [The | ||
25 | * overflow checkers only almost work for _Bool, but that's | ||
26 | * a-feature-not-a-bug, since people shouldn't be doing arithmetic on | ||
27 | * _Bools. Besides, the gcc builtins don't allow _Bool* as third | ||
28 | * argument.] | ||
29 | * | ||
30 | * Idea stolen from | ||
31 | * https://mail-index.netbsd.org/tech-misc/2007/02/05/0000.html - | ||
32 | * credit to Christian Biere. | ||
33 | */ | ||
34 | #define is_signed_type(type) (((type)(-1)) < (type)1) | ||
35 | #define __type_half_max(type) ((type)1 << (8*sizeof(type) - 1 - is_signed_type(type))) | ||
36 | #define type_max(T) ((T)((__type_half_max(T) - 1) + __type_half_max(T))) | ||
37 | #define type_min(T) ((T)((T)-type_max(T)-(T)1)) | ||
38 | |||
39 | |||
40 | #ifdef COMPILER_HAS_GENERIC_BUILTIN_OVERFLOW | ||
41 | /* | ||
42 | * For simplicity and code hygiene, the fallback code below insists on | ||
43 | * a, b and *d having the same type (similar to the min() and max() | ||
44 | * macros), whereas gcc's type-generic overflow checkers accept | ||
45 | * different types. Hence we don't just make check_add_overflow an | ||
46 | * alias for __builtin_add_overflow, but add type checks similar to | ||
47 | * below. | ||
48 | */ | ||
49 | #define check_add_overflow(a, b, d) ({ \ | ||
50 | typeof(a) __a = (a); \ | ||
51 | typeof(b) __b = (b); \ | ||
52 | typeof(d) __d = (d); \ | ||
53 | (void) (&__a == &__b); \ | ||
54 | (void) (&__a == __d); \ | ||
55 | __builtin_add_overflow(__a, __b, __d); \ | ||
56 | }) | ||
57 | |||
58 | #define check_sub_overflow(a, b, d) ({ \ | ||
59 | typeof(a) __a = (a); \ | ||
60 | typeof(b) __b = (b); \ | ||
61 | typeof(d) __d = (d); \ | ||
62 | (void) (&__a == &__b); \ | ||
63 | (void) (&__a == __d); \ | ||
64 | __builtin_sub_overflow(__a, __b, __d); \ | ||
65 | }) | ||
66 | |||
67 | #define check_mul_overflow(a, b, d) ({ \ | ||
68 | typeof(a) __a = (a); \ | ||
69 | typeof(b) __b = (b); \ | ||
70 | typeof(d) __d = (d); \ | ||
71 | (void) (&__a == &__b); \ | ||
72 | (void) (&__a == __d); \ | ||
73 | __builtin_mul_overflow(__a, __b, __d); \ | ||
74 | }) | ||
75 | |||
76 | #else | ||
77 | |||
78 | |||
79 | /* Checking for unsigned overflow is relatively easy without causing UB. */ | ||
80 | #define __unsigned_add_overflow(a, b, d) ({ \ | ||
81 | typeof(a) __a = (a); \ | ||
82 | typeof(b) __b = (b); \ | ||
83 | typeof(d) __d = (d); \ | ||
84 | (void) (&__a == &__b); \ | ||
85 | (void) (&__a == __d); \ | ||
86 | *__d = __a + __b; \ | ||
87 | *__d < __a; \ | ||
88 | }) | ||
89 | #define __unsigned_sub_overflow(a, b, d) ({ \ | ||
90 | typeof(a) __a = (a); \ | ||
91 | typeof(b) __b = (b); \ | ||
92 | typeof(d) __d = (d); \ | ||
93 | (void) (&__a == &__b); \ | ||
94 | (void) (&__a == __d); \ | ||
95 | *__d = __a - __b; \ | ||
96 | __a < __b; \ | ||
97 | }) | ||
98 | /* | ||
99 | * If one of a or b is a compile-time constant, this avoids a division. | ||
100 | */ | ||
101 | #define __unsigned_mul_overflow(a, b, d) ({ \ | ||
102 | typeof(a) __a = (a); \ | ||
103 | typeof(b) __b = (b); \ | ||
104 | typeof(d) __d = (d); \ | ||
105 | (void) (&__a == &__b); \ | ||
106 | (void) (&__a == __d); \ | ||
107 | *__d = __a * __b; \ | ||
108 | __builtin_constant_p(__b) ? \ | ||
109 | __b > 0 && __a > type_max(typeof(__a)) / __b : \ | ||
110 | __a > 0 && __b > type_max(typeof(__b)) / __a; \ | ||
111 | }) | ||
112 | |||
113 | /* | ||
114 | * For signed types, detecting overflow is much harder, especially if | ||
115 | * we want to avoid UB. But the interface of these macros is such that | ||
116 | * we must provide a result in *d, and in fact we must produce the | ||
117 | * result promised by gcc's builtins, which is simply the possibly | ||
118 | * wrapped-around value. Fortunately, we can just formally do the | ||
119 | * operations in the widest relevant unsigned type (u64) and then | ||
120 | * truncate the result - gcc is smart enough to generate the same code | ||
121 | * with and without the (u64) casts. | ||
122 | */ | ||
123 | |||
124 | /* | ||
125 | * Adding two signed integers can overflow only if they have the same | ||
126 | * sign, and overflow has happened iff the result has the opposite | ||
127 | * sign. | ||
128 | */ | ||
129 | #define __signed_add_overflow(a, b, d) ({ \ | ||
130 | typeof(a) __a = (a); \ | ||
131 | typeof(b) __b = (b); \ | ||
132 | typeof(d) __d = (d); \ | ||
133 | (void) (&__a == &__b); \ | ||
134 | (void) (&__a == __d); \ | ||
135 | *__d = (u64)__a + (u64)__b; \ | ||
136 | (((~(__a ^ __b)) & (*__d ^ __a)) \ | ||
137 | & type_min(typeof(__a))) != 0; \ | ||
138 | }) | ||
139 | |||
140 | /* | ||
141 | * Subtraction is similar, except that overflow can now happen only | ||
142 | * when the signs are opposite. In this case, overflow has happened if | ||
143 | * the result has the opposite sign of a. | ||
144 | */ | ||
145 | #define __signed_sub_overflow(a, b, d) ({ \ | ||
146 | typeof(a) __a = (a); \ | ||
147 | typeof(b) __b = (b); \ | ||
148 | typeof(d) __d = (d); \ | ||
149 | (void) (&__a == &__b); \ | ||
150 | (void) (&__a == __d); \ | ||
151 | *__d = (u64)__a - (u64)__b; \ | ||
152 | ((((__a ^ __b)) & (*__d ^ __a)) \ | ||
153 | & type_min(typeof(__a))) != 0; \ | ||
154 | }) | ||
155 | |||
156 | /* | ||
157 | * Signed multiplication is rather hard. gcc always follows C99, so | ||
158 | * division is truncated towards 0. This means that we can write the | ||
159 | * overflow check like this: | ||
160 | * | ||
161 | * (a > 0 && (b > MAX/a || b < MIN/a)) || | ||
162 | * (a < -1 && (b > MIN/a || b < MAX/a) || | ||
163 | * (a == -1 && b == MIN) | ||
164 | * | ||
165 | * The redundant casts of -1 are to silence an annoying -Wtype-limits | ||
166 | * (included in -Wextra) warning: When the type is u8 or u16, the | ||
167 | * __b_c_e in check_mul_overflow obviously selects | ||
168 | * __unsigned_mul_overflow, but unfortunately gcc still parses this | ||
169 | * code and warns about the limited range of __b. | ||
170 | */ | ||
171 | |||
172 | #define __signed_mul_overflow(a, b, d) ({ \ | ||
173 | typeof(a) __a = (a); \ | ||
174 | typeof(b) __b = (b); \ | ||
175 | typeof(d) __d = (d); \ | ||
176 | typeof(a) __tmax = type_max(typeof(a)); \ | ||
177 | typeof(a) __tmin = type_min(typeof(a)); \ | ||
178 | (void) (&__a == &__b); \ | ||
179 | (void) (&__a == __d); \ | ||
180 | *__d = (u64)__a * (u64)__b; \ | ||
181 | (__b > 0 && (__a > __tmax/__b || __a < __tmin/__b)) || \ | ||
182 | (__b < (typeof(__b))-1 && (__a > __tmin/__b || __a < __tmax/__b)) || \ | ||
183 | (__b == (typeof(__b))-1 && __a == __tmin); \ | ||
184 | }) | ||
185 | |||
186 | |||
187 | #define check_add_overflow(a, b, d) \ | ||
188 | __builtin_choose_expr(is_signed_type(typeof(a)), \ | ||
189 | __signed_add_overflow(a, b, d), \ | ||
190 | __unsigned_add_overflow(a, b, d)) | ||
191 | |||
192 | #define check_sub_overflow(a, b, d) \ | ||
193 | __builtin_choose_expr(is_signed_type(typeof(a)), \ | ||
194 | __signed_sub_overflow(a, b, d), \ | ||
195 | __unsigned_sub_overflow(a, b, d)) | ||
196 | |||
197 | #define check_mul_overflow(a, b, d) \ | ||
198 | __builtin_choose_expr(is_signed_type(typeof(a)), \ | ||
199 | __signed_mul_overflow(a, b, d), \ | ||
200 | __unsigned_mul_overflow(a, b, d)) | ||
201 | |||
202 | |||
203 | #endif /* COMPILER_HAS_GENERIC_BUILTIN_OVERFLOW */ | ||
204 | |||
205 | #endif /* __LINUX_OVERFLOW_H */ | ||