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1/* Random pseudo generator number which returns a single 32 bit value
2 uniformly distributed but with an upper_bound.
dff8da6b 3 Copyright (C) 2022-2024 Free Software Foundation, Inc.
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4 This file is part of the GNU C Library.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10
11 The GNU C 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 GNU
14 Lesser General Public License for more details.
15
16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, see
18 <https://www.gnu.org/licenses/>. */
19
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20#include <stdlib.h>
21#include <sys/param.h>
22
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23/* Return a uniformly distributed random number less than N. The algorithm
24 calculates a mask being the lowest power of two bounding the upper bound
25 N, successively queries new random values, and rejects values outside of
26 the request range.
6f4e0fcf 27
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28 For reject values, it also tries if the remaining entropy could fit on
29 the asked range after range adjustment.
6f4e0fcf 30
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31 The algorithm avoids modulo and divide operations, which might be costly
32 depending on the architecture. */
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33uint32_t
34__arc4random_uniform (uint32_t n)
35{
36 if (n <= 1)
37 /* There is no valid return value for a zero limit, and 0 is the
38 only possible result for limit 1. */
39 return 0;
40
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41 /* Powers of two are easy. */
42 if (powerof2 (n))
c622ac1b 43 return __arc4random () & (n - 1);
6f4e0fcf 44
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45 /* mask is the smallest power of 2 minus 1 number larger than n. */
46 int z = __builtin_clz (n);
47 uint32_t mask = ~UINT32_C(0) >> z;
48 int bits = CHAR_BIT * sizeof (uint32_t) - z;
6f4e0fcf 49
c622ac1b 50 while (1)
6f4e0fcf 51 {
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52 uint32_t value = __arc4random ();
53
54 /* Return if the lower power of 2 minus 1 satisfy the condition. */
55 uint32_t r = value & mask;
56 if (r < n)
57 return r;
58
59 /* Otherwise check if remaining bits of entropy provides fits in the
60 bound. */
61 for (int bits_left = z; bits_left >= bits; bits_left -= bits)
62 {
63 value >>= bits;
64 r = value & mask;
65 if (r < n)
66 return r;
67 }
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68 }
69}
70libc_hidden_def (__arc4random_uniform)
71weak_alias (__arc4random_uniform, arc4random_uniform)