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arc4random(3bsd) 3bsd arc4random(3bsd)

arc4random, arc4random_uniform, arc4random_buf, arc4random_stir, arc4random_addrandom — random number generator

library “libbsd”

#include <stdlib.h> (See libbsd(7) for include usage.)
uint32_t
arc4random(void);

uint32_t
arc4random_uniform(uint32_t bound);

void
arc4random_buf(void *buf, size_t len);

void
arc4random_stir(void);

void
arc4random_addrandom(unsigned char *buf, int len);

The arc4random family of functions provides a cryptographic pseudorandom number generator automatically seeded from the system entropy pool and safe to use from multiple threads. arc4random is designed to prevent an adversary from guessing outputs, unlike rand(3) and random(3), and is faster and more convenient than reading from /dev/urandom directly.

() returns an integer in [0, 2^32) chosen independently with uniform distribution.

() returns an integer in [0, bound) chosen independently with uniform distribution.

() stores len bytes into the memory pointed to by buf, each byte chosen independently from [0, 256) with uniform distribution.

() draws entropy from the operating system and incorporates it into the library's PRNG state to influence future outputs.

() incorporates len bytes, which must be nonnegative, from the buffer buf, into the library's PRNG state to influence future outputs.

It is not necessary for an application to call () or arc4random_addrandom() before calling other arc4random functions. The first call to any arc4random function will initialize the PRNG state unpredictably from the system entropy pool.

The arc4random functions provide the following security properties against three different classes of attackers, assuming enough entropy is provided by the operating system:

  1. An attacker who has seen some outputs of any of the arc4random functions cannot predict past or future unseen outputs.
  2. An attacker who has seen the library's PRNG state in memory cannot predict past outputs.
  3. An attacker who has seen one process's PRNG state cannot predict past or future outputs in other processes, particularly its parent or siblings.

One ‘output’ means the result of any single request to an arc4random function, no matter how short it is.

The second property is sometimes called ‘forward secrecy’, ‘backtracking resistance’, or ‘key erasure after each output’.

The arc4random functions are currently implemented using the ChaCha20 pseudorandom function family. For any 32-byte string s, ChaCha20_s is a function from 16-byte strings to 64-byte strings. It is conjectured that if s is chosen with uniform distribution, then the distribution on ChaCha20_s is indistinguishable to a computationally bounded adversary from a uniform distribution on all functions from 16-byte strings to 64-byte strings.

The PRNG state is a 32-byte ChaCha20 key s. Each request to an arc4random function

  • computes the 64-byte quantity x = ChaCha20_s(0),
  • splits x into two 32-byte quantities s' and k,
  • replaces s by s', and
  • uses k as output.

arc4random() yields the first four bytes of k as output directly. arc4random_buf() either yields up to 32 bytes of k as output directly, or, for longer requests, uses k as a ChaCha20 key and yields the concatenation ChaCha20_k(0) || ChaCha20_k(1) || ... as output. arc4random_uniform() repeats arc4random() until it obtains an integer in [2^32 % bound, 2^32), and reduces that modulo bound.

The PRNG state is per-thread, unless memory allocation fails inside the library, in which case some threads may share global PRNG state with a mutex. The global PRNG state is zeroed on fork in the parent via pthread_atfork(3), and the per-thread PRNG state is zeroed on fork in the child via minherit(2) with MAP_INHERIT_ZERO, so that the child cannot reuse or see the parent's PRNG state. The PRNG state is reseeded automatically from the system entropy pool on the first use of an arc4random function after zeroing.

The first use of an arc4random function may abort the process in the highly unlikely event that library initialization necessary to implement the security model fails. Additionally, arc4random_stir() and arc4random_addrandom() may abort the process in the highly unlikely event that the operating system fails to provide entropy.

rand(3), random(3), rnd(4), cprng(9)

Daniel J. Bernstein, ChaCha, a variant of Salsa20, http://cr.yp.to/papers.html#chacha, 2008-01-28, Document ID: 4027b5256e17b9796842e6d0f68b0b5e.

These functions first appeared in OpenBSD 2.1, FreeBSD 3.0, NetBSD 1.6, and DragonFly 1.0. The functions arc4random(), arc4random_buf() and arc4random_uniform() appeared in glibc 2.36.

There is no way to get deterministic, reproducible results out of arc4random for testing purposes.

The name ‘arc4random’ was chosen for hysterical raisins -- it was originally implemented using the RC4 stream cipher, which has been known since shortly after it was published in 1994 to have observable biases in the output, and is now known to be broken badly enough to admit practical attacks in the real world. Unfortunately, the library found widespread adoption and the name stuck before anyone recognized that it was silly.

The signature of arc4random_addrandom() is silly. There is no reason to require casts or accept negative lengths: it should take a void * buffer and a size_t length. But it's too late to change that now.

arc4random_uniform() does not help to choose integers in [0, n) uniformly at random when n > 2^32.

The security model of arc4random is stronger than many applications need, and stronger than other operating systems provide. For example, applications encrypting messages with random, but not secret, initialization vectors need only prevent an adversary from guessing future outputs, since past outputs will have been published already.

On the one hand, arc4random could be marginally faster if it were not necessary to prevent an adversary who sees the state from predicting past outputs. On the other hand, there are applications in the wild that use arc4random to generate key material, such as OpenSSH, so for the sake of NetBSD users it would be imprudent to weaken the security model. On the third hand, relying on the security model of arc4random in NetBSD may lead you to an unpleasant surprise on another operating system whose implementation of arc4random has a weaker security model.

One may be tempted to create new APIs to accommodate different security models and performance constraints without unpleasant surprises on different operating systems. This should not be done lightly, though, because there are already too many different choices, and too many opportunities for programmers to reach for one and pick the wrong one.

November 16, 2014 x86_64