/* * Copyright (c) 2021, the SerenityOS developers. * * SPDX-License-Identifier: BSD-2-Clause */ #include namespace AK { u32 get_random_uniform(u32 max_bounds) { // If we try to divide all 2**32 numbers into groups of "max_bounds" numbers, we may end up // with one group that is a bit too small. For this reason, the implementation // `arc4random() % max_bounds` would be insufficient. Here we compute the first number of // the first "full group" as 2**32 % max_bounds, and rely on the equivalence // `2**32 % x == (2**32 - x) % x` to keep calculations in u32 domain: u32 const threshold = static_cast(-max_bounds) % max_bounds; auto random_value = get_random(); for (int i = 0; i < 20 && random_value < threshold; ++i) { // By chance we picked a value from the incomplete group. Note that this group has size at // most 2**31-1, so picking this group has a chance of less than 50%. // In practice, this means that for the worst possible input, there is still only a // once-in-a-million chance to get to iteration 20. In theory we should be able to loop // forever. Here we prefer marginally imperfect random numbers over weird runtime behavior. random_value = get_random(); } return random_value % max_bounds; } u64 get_random_uniform_64(u64 max_bounds) { // Uses the same algorithm as `get_random_uniform`, // by replacing u32 with u64. u64 const threshold = static_cast(-max_bounds) % max_bounds; auto random_value = get_random(); for (int i = 0; i < 20 && random_value < threshold; ++i) { random_value = get_random(); } return random_value % max_bounds; } }