linux/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#include <linux/limits.h>
   7
   8/*
   9 * We need to compute the minimum and maximum values representable in a given
  10 * type. These macros may also be useful elsewhere. It would seem more obvious
  11 * to do something like:
  12 *
  13 * #define type_min(T) (T)(is_signed_type(T) ? (T)1 << (8*sizeof(T)-1) : 0)
  14 * #define type_max(T) (T)(is_signed_type(T) ? ((T)1 << (8*sizeof(T)-1)) - 1 : ~(T)0)
  15 *
  16 * Unfortunately, the middle expressions, strictly speaking, have
  17 * undefined behaviour, and at least some versions of gcc warn about
  18 * the type_max expression (but not if -fsanitize=undefined is in
  19 * effect; in that case, the warning is deferred to runtime...).
  20 *
  21 * The slightly excessive casting in type_min is to make sure the
  22 * macros also produce sensible values for the exotic type _Bool. [The
  23 * overflow checkers only almost work for _Bool, but that's
  24 * a-feature-not-a-bug, since people shouldn't be doing arithmetic on
  25 * _Bools. Besides, the gcc builtins don't allow _Bool* as third
  26 * argument.]
  27 *
  28 * Idea stolen from
  29 * https://mail-index.netbsd.org/tech-misc/2007/02/05/0000.html -
  30 * credit to Christian Biere.
  31 */
  32#define is_signed_type(type)       (((type)(-1)) < (type)1)
  33#define __type_half_max(type) ((type)1 << (8*sizeof(type) - 1 - is_signed_type(type)))
  34#define type_max(T) ((T)((__type_half_max(T) - 1) + __type_half_max(T)))
  35#define type_min(T) ((T)((T)-type_max(T)-(T)1))
  36
  37/*
  38 * Avoids triggering -Wtype-limits compilation warning,
  39 * while using unsigned data types to check a < 0.
  40 */
  41#define is_non_negative(a) ((a) > 0 || (a) == 0)
  42#define is_negative(a) (!(is_non_negative(a)))
  43
  44/*
  45 * Allows for effectively applying __must_check to a macro so we can have
  46 * both the type-agnostic benefits of the macros while also being able to
  47 * enforce that the return value is, in fact, checked.
  48 */
  49static inline bool __must_check __must_check_overflow(bool overflow)
  50{
  51        return unlikely(overflow);
  52}
  53
  54/*
  55 * For simplicity and code hygiene, the fallback code below insists on
  56 * a, b and *d having the same type (similar to the min() and max()
  57 * macros), whereas gcc's type-generic overflow checkers accept
  58 * different types. Hence we don't just make check_add_overflow an
  59 * alias for __builtin_add_overflow, but add type checks similar to
  60 * below.
  61 */
  62#define check_add_overflow(a, b, d) __must_check_overflow(({    \
  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_add_overflow(__a, __b, __d);  \
  69}))
  70
  71#define check_sub_overflow(a, b, d) __must_check_overflow(({    \
  72        typeof(a) __a = (a);                    \
  73        typeof(b) __b = (b);                    \
  74        typeof(d) __d = (d);                    \
  75        (void) (&__a == &__b);                  \
  76        (void) (&__a == __d);                   \
  77        __builtin_sub_overflow(__a, __b, __d);  \
  78}))
  79
  80#define check_mul_overflow(a, b, d) __must_check_overflow(({    \
  81        typeof(a) __a = (a);                    \
  82        typeof(b) __b = (b);                    \
  83        typeof(d) __d = (d);                    \
  84        (void) (&__a == &__b);                  \
  85        (void) (&__a == __d);                   \
  86        __builtin_mul_overflow(__a, __b, __d);  \
  87}))
  88
  89/** check_shl_overflow() - Calculate a left-shifted value and check overflow
  90 *
  91 * @a: Value to be shifted
  92 * @s: How many bits left to shift
  93 * @d: Pointer to where to store the result
  94 *
  95 * Computes *@d = (@a << @s)
  96 *
  97 * Returns true if '*d' cannot hold the result or when 'a << s' doesn't
  98 * make sense. Example conditions:
  99 * - 'a << s' causes bits to be lost when stored in *d.
 100 * - 's' is garbage (e.g. negative) or so large that the result of
 101 *   'a << s' is guaranteed to be 0.
 102 * - 'a' is negative.
 103 * - 'a << s' sets the sign bit, if any, in '*d'.
 104 *
 105 * '*d' will hold the results of the attempted shift, but is not
 106 * considered "safe for use" if true is returned.
 107 */
 108#define check_shl_overflow(a, s, d) __must_check_overflow(({            \
 109        typeof(a) _a = a;                                               \
 110        typeof(s) _s = s;                                               \
 111        typeof(d) _d = d;                                               \
 112        u64 _a_full = _a;                                               \
 113        unsigned int _to_shift =                                        \
 114                is_non_negative(_s) && _s < 8 * sizeof(*d) ? _s : 0;    \
 115        *_d = (_a_full << _to_shift);                                   \
 116        (_to_shift != _s || is_negative(*_d) || is_negative(_a) ||      \
 117        (*_d >> _to_shift) != _a);                                      \
 118}))
 119
 120/**
 121 * array_size() - Calculate size of 2-dimensional array.
 122 *
 123 * @a: dimension one
 124 * @b: dimension two
 125 *
 126 * Calculates size of 2-dimensional array: @a * @b.
 127 *
 128 * Returns: number of bytes needed to represent the array or SIZE_MAX on
 129 * overflow.
 130 */
 131static inline __must_check size_t array_size(size_t a, size_t b)
 132{
 133        size_t bytes;
 134
 135        if (check_mul_overflow(a, b, &bytes))
 136                return SIZE_MAX;
 137
 138        return bytes;
 139}
 140
 141/**
 142 * array3_size() - Calculate size of 3-dimensional array.
 143 *
 144 * @a: dimension one
 145 * @b: dimension two
 146 * @c: dimension three
 147 *
 148 * Calculates size of 3-dimensional array: @a * @b * @c.
 149 *
 150 * Returns: number of bytes needed to represent the array or SIZE_MAX on
 151 * overflow.
 152 */
 153static inline __must_check size_t array3_size(size_t a, size_t b, size_t c)
 154{
 155        size_t bytes;
 156
 157        if (check_mul_overflow(a, b, &bytes))
 158                return SIZE_MAX;
 159        if (check_mul_overflow(bytes, c, &bytes))
 160                return SIZE_MAX;
 161
 162        return bytes;
 163}
 164
 165/*
 166 * Compute a*b+c, returning SIZE_MAX on overflow. Internal helper for
 167 * struct_size() below.
 168 */
 169static inline __must_check size_t __ab_c_size(size_t a, size_t b, size_t c)
 170{
 171        size_t bytes;
 172
 173        if (check_mul_overflow(a, b, &bytes))
 174                return SIZE_MAX;
 175        if (check_add_overflow(bytes, c, &bytes))
 176                return SIZE_MAX;
 177
 178        return bytes;
 179}
 180
 181/**
 182 * struct_size() - Calculate size of structure with trailing array.
 183 * @p: Pointer to the structure.
 184 * @member: Name of the array member.
 185 * @count: Number of elements in the array.
 186 *
 187 * Calculates size of memory needed for structure @p followed by an
 188 * array of @count number of @member elements.
 189 *
 190 * Return: number of bytes needed or SIZE_MAX on overflow.
 191 */
 192#define struct_size(p, member, count)                                   \
 193        __ab_c_size(count,                                              \
 194                    sizeof(*(p)->member) + __must_be_array((p)->member),\
 195                    sizeof(*(p)))
 196
 197/**
 198 * flex_array_size() - Calculate size of a flexible array member
 199 *                     within an enclosing structure.
 200 *
 201 * @p: Pointer to the structure.
 202 * @member: Name of the flexible array member.
 203 * @count: Number of elements in the array.
 204 *
 205 * Calculates size of a flexible array of @count number of @member
 206 * elements, at the end of structure @p.
 207 *
 208 * Return: number of bytes needed or SIZE_MAX on overflow.
 209 */
 210#define flex_array_size(p, member, count)                               \
 211        array_size(count,                                               \
 212                    sizeof(*(p)->member) + __must_be_array((p)->member))
 213
 214#endif /* __LINUX_OVERFLOW_H */
 215