/* $NetBSD: random.c,v 1.8 2025/01/26 16:25:38 christos Exp $ */ /* * Copyright (C) Internet Systems Consortium, Inc. ("ISC") * * SPDX-License-Identifier: MPL-2.0 * * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, you can obtain one at https://mozilla.org/MPL/2.0/. * * See the COPYRIGHT file distributed with this work for additional * information regarding copyright ownership. */ /* * Portions of isc_random_uniform(): * * Copyright (c) 1996, David Mazieres * Copyright (c) 2008, Damien Miller * * Permission to use, copy, modify, and distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #include #include #include #include #include #include #include #include #include #include /* * Written in 2018 by David Blackman and Sebastiano Vigna (vigna@acm.org) * * To the extent possible under law, the author has dedicated all * copyright and related and neighboring rights to this software to the * public domain worldwide. This software is distributed without any * warranty. * * See . */ /* * This is xoshiro128** 1.0, our 32-bit all-purpose, rock-solid generator. * It has excellent (sub-ns) speed, a state size (128 bits) that is large * enough for mild parallelism, and it passes all tests we are aware of. * * The state must be seeded so that it is not everywhere zero. */ static thread_local bool initialized = false; static thread_local uint32_t seed[4] = { 0 }; static uint32_t rotl(const uint32_t x, int k) { return (x << k) | (x >> (32 - k)); } static uint32_t next(void) { uint32_t result_starstar, t; result_starstar = rotl(seed[0] * 5, 7) * 9; t = seed[1] << 9; seed[2] ^= seed[0]; seed[3] ^= seed[1]; seed[1] ^= seed[2]; seed[0] ^= seed[3]; seed[2] ^= t; seed[3] = rotl(seed[3], 11); return result_starstar; } static void isc__random_initialize(void) { if (initialized) { return; } #if FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION /* * A fixed seed helps with problem reproduction when fuzzing. It must be * non-zero else xoshiro128starstar will generate only zeroes, and the * first result needs to be non-zero as expected by random_test.c */ seed[0] = 1; #endif /* if FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION */ while (seed[0] == 0 && seed[1] == 0 && seed[2] == 0 && seed[3] == 0) { isc_entropy_get(seed, sizeof(seed)); } initialized = true; } uint8_t isc_random8(void) { isc__random_initialize(); return (uint8_t)next(); } uint16_t isc_random16(void) { isc__random_initialize(); return (uint16_t)next(); } uint32_t isc_random32(void) { isc__random_initialize(); return next(); } void isc_random_buf(void *buf, size_t buflen) { REQUIRE(buf != NULL); REQUIRE(buflen > 0); int i; uint32_t r; isc__random_initialize(); for (i = 0; i + sizeof(r) <= buflen; i += sizeof(r)) { r = next(); memmove((uint8_t *)buf + i, &r, sizeof(r)); } r = next(); memmove((uint8_t *)buf + i, &r, buflen % sizeof(r)); return; } uint32_t isc_random_uniform(uint32_t limit) { isc__random_initialize(); /* * Daniel Lemire's nearly-divisionless unbiased bounded random numbers. * * https://lemire.me/blog/?p=17551 * * The raw random number generator `next()` returns a 32-bit value. * We do a 64-bit multiply `next() * limit` and treat the product as a * 32.32 fixed-point value less than the limit. Our result will be the * integer part (upper 32 bits), and we will use the fraction part * (lower 32 bits) to determine whether or not we need to resample. */ uint64_t num = (uint64_t)next() * (uint64_t)limit; /* * In the fast path, we avoid doing a division in most cases by * comparing the fraction part of `num` with the limit, which is * a slight over-estimate for the exact resample threshold. */ if ((uint32_t)(num) < limit) { /* * We are in the slow path where we re-do the approximate test * more accurately. The exact threshold for the resample loop * is the remainder after dividing the raw RNG limit `1 << 32` * by the caller's limit. We use a trick to calculate it * within 32 bits: * * (1 << 32) % limit * == ((1 << 32) - limit) % limit * == (uint32_t)(-limit) % limit * * This division is safe: we know that `limit` is strictly * greater than zero because of the slow-path test above. */ uint32_t residue = (uint32_t)(-limit) % limit; /* * Unless we get one of `N = (1 << 32) - residue` valid * values, we reject the sample. This `N` is a multiple of * `limit`, so our results will be unbiased; and `N` is the * largest multiple that fits in 32 bits, so rejections are as * rare as possible. * * There are `limit` possible values for the integer part of * our fixed-point number. Each one corresponds to `N/limit` * or `N/limit + 1` possible fraction parts. For our result to * be unbiased, every possible integer part must have the same * number of possible valid fraction parts. So, when we get * the superfluous value in the `N/limit + 1` cases, we need * to reject and resample. * * Because of the multiplication, the possible values in the * fraction part are equally spaced by `limit`, with varying * gaps at each end of the fraction's 32-bit range. We will * choose a range of size `N` (a multiple of `limit`) into * which valid fraction values must fall, with the rest of the * 32-bit range covered by the `residue`. Lemire's paper says * that exactly `N/limit` possible values spaced apart by * `limit` will fit into our size `N` valid range, regardless * of the size of the end gaps, the phase alignment of the * values, or the position of the range. * * So, when a fraction value falls in the `residue` outside * our valid range, it is superfluous, and we resample. */ while ((uint32_t)(num) < residue) { num = (uint64_t)next() * (uint64_t)limit; } } /* * Return the integer part (upper 32 bits). */ return (uint32_t)(num >> 32); }