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 * We need to compute the minimum and maximum values representable in a given
9 * type. These macros may also be useful elsewhere. It would seem more obvious
10 * to do something like:
11 *
12 * #define type_min(T) (T)(is_signed_type(T) ? (T)1 << (8*sizeof(T)-1) : 0)
13 * #define type_max(T) (T)(is_signed_type(T) ? ((T)1 << (8*sizeof(T)-1)) - 1 : ~(T)0)
14 *
15 * Unfortunately, the middle expressions, strictly speaking, have
16 * undefined behaviour, and at least some versions of gcc warn about
17 * the type_max expression (but not if -fsanitize=undefined is in
18 * effect; in that case, the warning is deferred to runtime...).
19 *
20 * The slightly excessive casting in type_min is to make sure the
21 * macros also produce sensible values for the exotic type _Bool. [The
22 * overflow checkers only almost work for _Bool, but that's
23 * a-feature-not-a-bug, since people shouldn't be doing arithmetic on
24 * _Bools. Besides, the gcc builtins don't allow _Bool* as third
25 * argument.]
26 *
27 * Idea stolen from
28 * https://mail-index.netbsd.org/tech-misc/2007/02/05/0000.html -
29 * credit to Christian Biere.
30 */
31#define is_signed_type(type)       (((type)(-1)) < (type)1)
32#define __type_half_max(type) ((type)1 << (8*sizeof(type) - 1 - is_signed_type(type)))
33#define type_max(T) ((T)((__type_half_max(T) - 1) + __type_half_max(T)))
34#define type_min(T) ((T)((T)-type_max(T)-(T)1))
35
36/*
37 * For simplicity and code hygiene, the fallback code below insists on
38 * a, b and *d having the same type (similar to the min() and max()
39 * macros), whereas gcc's type-generic overflow checkers accept
40 * different types. Hence we don't just make check_add_overflow an
41 * alias for __builtin_add_overflow, but add type checks similar to
42 * below.
43 */
44#define check_add_overflow(a, b, d) ({		\
45	typeof(a) __a = (a);			\
46	typeof(b) __b = (b);			\
47	typeof(d) __d = (d);			\
48	(void) (&__a == &__b);			\
49	(void) (&__a == __d);			\
50	__builtin_add_overflow(__a, __b, __d);	\
51})
52
53#define check_sub_overflow(a, b, d) ({		\
54	typeof(a) __a = (a);			\
55	typeof(b) __b = (b);			\
56	typeof(d) __d = (d);			\
57	(void) (&__a == &__b);			\
58	(void) (&__a == __d);			\
59	__builtin_sub_overflow(__a, __b, __d);	\
60})
61
62#define check_mul_overflow(a, b, d) ({		\
63	typeof(a) __a = (a);			\
64	typeof(b) __b = (b);			\
65	typeof(d) __d = (d);			\
66	(void) (&__a == &__b);			\
67	(void) (&__a == __d);			\
68	__builtin_mul_overflow(__a, __b, __d);	\
69})
70
71/**
72 * array_size() - Calculate size of 2-dimensional array.
73 *
74 * @a: dimension one
75 * @b: dimension two
76 *
77 * Calculates size of 2-dimensional array: @a * @b.
78 *
79 * Returns: number of bytes needed to represent the array or SIZE_MAX on
80 * overflow.
81 */
82static inline __must_check size_t array_size(size_t a, size_t b)
83{
84	size_t bytes;
85
86	if (check_mul_overflow(a, b, &bytes))
87		return SIZE_MAX;
88
89	return bytes;
90}
91
92/**
93 * array3_size() - Calculate size of 3-dimensional array.
94 *
95 * @a: dimension one
96 * @b: dimension two
97 * @c: dimension three
98 *
99 * Calculates size of 3-dimensional array: @a * @b * @c.
100 *
101 * Returns: number of bytes needed to represent the array or SIZE_MAX on
102 * overflow.
103 */
104static inline __must_check size_t array3_size(size_t a, size_t b, size_t c)
105{
106	size_t bytes;
107
108	if (check_mul_overflow(a, b, &bytes))
109		return SIZE_MAX;
110	if (check_mul_overflow(bytes, c, &bytes))
111		return SIZE_MAX;
112
113	return bytes;
114}
115
116static inline __must_check size_t __ab_c_size(size_t n, size_t size, size_t c)
117{
118	size_t bytes;
119
120	if (check_mul_overflow(n, size, &bytes))
121		return SIZE_MAX;
122	if (check_add_overflow(bytes, c, &bytes))
123		return SIZE_MAX;
124
125	return bytes;
126}
127
128/**
129 * struct_size() - Calculate size of structure with trailing array.
130 * @p: Pointer to the structure.
131 * @member: Name of the array member.
132 * @n: Number of elements in the array.
133 *
134 * Calculates size of memory needed for structure @p followed by an
135 * array of @n @member elements.
136 *
137 * Return: number of bytes needed or SIZE_MAX on overflow.
138 */
139#define struct_size(p, member, n)					\
140	__ab_c_size(n,							\
141		    sizeof(*(p)->member) + __must_be_array((p)->member),\
142		    sizeof(*(p)))
143
144#endif /* __LINUX_OVERFLOW_H */
145