*/
/*
- * (now, with legal B.S. out of the way.....)
- *
- * This routine gathers environmental noise from device drivers, etc.,
- * and returns good random numbers, suitable for cryptographic use.
- * Besides the obvious cryptographic uses, these numbers are also good
- * for seeding TCP sequence numbers, and other places where it is
- * desirable to have numbers which are not only random, but hard to
- * predict by an attacker.
- *
- * Theory of operation
- * ===================
- *
- * Computers are very predictable devices. Hence it is extremely hard
- * to produce truly random numbers on a computer --- as opposed to
- * pseudo-random numbers, which can easily generated by using a
- * algorithm. Unfortunately, it is very easy for attackers to guess
- * the sequence of pseudo-random number generators, and for some
- * applications this is not acceptable. So instead, we must try to
- * gather "environmental noise" from the computer's environment, which
- * must be hard for outside attackers to observe, and use that to
- * generate random numbers. In a Unix environment, this is best done
- * from inside the kernel.
- *
- * Sources of randomness from the environment include inter-keyboard
- * timings, inter-interrupt timings from some interrupts, and other
- * events which are both (a) non-deterministic and (b) hard for an
- * outside observer to measure. Randomness from these sources are
- * added to an "entropy pool", which is mixed using a CRC-like function.
- * This is not cryptographically strong, but it is adequate assuming
- * the randomness is not chosen maliciously, and it is fast enough that
- * the overhead of doing it on every interrupt is very reasonable.
- * As random bytes are mixed into the entropy pool, the routines keep
- * an *estimate* of how many bits of randomness have been stored into
- * the random number generator's internal state.
- *
- * When random bytes are desired, they are obtained by taking the BLAKE2s
- * hash of the contents of the "entropy pool". The BLAKE2s hash avoids
- * exposing the internal state of the entropy pool. It is believed to
- * be computationally infeasible to derive any useful information
- * about the input of BLAKE2s from its output. Even if it is possible to
- * analyze BLAKE2s in some clever way, as long as the amount of data
- * returned from the generator is less than the inherent entropy in
- * the pool, the output data is totally unpredictable. For this
- * reason, the routine decreases its internal estimate of how many
- * bits of "true randomness" are contained in the entropy pool as it
- * outputs random numbers.
- *
- * If this estimate goes to zero, the routine can still generate
- * random numbers; however, an attacker may (at least in theory) be
- * able to infer the future output of the generator from prior
- * outputs. This requires successful cryptanalysis of BLAKE2s, which is
- * not believed to be feasible, but there is a remote possibility.
- * Nonetheless, these numbers should be useful for the vast majority
- * of purposes.
- *
* Exported interfaces ---- output
* ===============================
*
*
* mknod /dev/random c 1 8
* mknod /dev/urandom c 1 9
- *
- * Acknowledgements:
- * =================
- *
- * Ideas for constructing this random number generator were derived
- * from Pretty Good Privacy's random number generator, and from private
- * discussions with Phil Karn. Colin Plumb provided a faster random
- * number generator, which speed up the mixing function of the entropy
- * pool, taken from PGPfone. Dale Worley has also contributed many
- * useful ideas and suggestions to improve this driver.
- *
- * Any flaws in the design are solely my responsibility, and should
- * not be attributed to the Phil, Colin, or any of authors of PGP.
- *
- * Further background information on this topic may be obtained from
- * RFC 1750, "Randomness Recommendations for Security", by Donald
- * Eastlake, Steve Crocker, and Jeff Schiller.
*/
#define pr_fmt(fmt) KBUILD_MODNAME ": " fmt
/* #define ADD_INTERRUPT_BENCH */
-/*
- * If the entropy count falls under this number of bits, then we
- * should wake up processes which are selecting or polling on write
- * access to /dev/random.
- */
-static int random_write_wakeup_bits = 28 * (1 << 5);
-
-/*
- * Originally, we used a primitive polynomial of degree .poolwords
- * over GF(2). The taps for various sizes are defined below. They
- * were chosen to be evenly spaced except for the last tap, which is 1
- * to get the twisting happening as fast as possible.
- *
- * For the purposes of better mixing, we use the CRC-32 polynomial as
- * well to make a (modified) twisted Generalized Feedback Shift
- * Register. (See M. Matsumoto & Y. Kurita, 1992. Twisted GFSR
- * generators. ACM Transactions on Modeling and Computer Simulation
- * 2(3):179-194. Also see M. Matsumoto & Y. Kurita, 1994. Twisted
- * GFSR generators II. ACM Transactions on Modeling and Computer
- * Simulation 4:254-266)
- *
- * Thanks to Colin Plumb for suggesting this.
- *
- * The mixing operation is much less sensitive than the output hash,
- * where we use BLAKE2s. All that we want of mixing operation is that
- * it be a good non-cryptographic hash; i.e. it not produce collisions
- * when fed "random" data of the sort we expect to see. As long as
- * the pool state differs for different inputs, we have preserved the
- * input entropy and done a good job. The fact that an intelligent
- * attacker can construct inputs that will produce controlled
- * alterations to the pool's state is not important because we don't
- * consider such inputs to contribute any randomness. The only
- * property we need with respect to them is that the attacker can't
- * increase his/her knowledge of the pool's state. Since all
- * additions are reversible (knowing the final state and the input,
- * you can reconstruct the initial state), if an attacker has any
- * uncertainty about the initial state, he/she can only shuffle that
- * uncertainty about, but never cause any collisions (which would
- * decrease the uncertainty).
- *
- * Our mixing functions were analyzed by Lacharme, Roeck, Strubel, and
- * Videau in their paper, "The Linux Pseudorandom Number Generator
- * Revisited" (see: http://eprint.iacr.org/2012/251.pdf). In their
- * paper, they point out that we are not using a true Twisted GFSR,
- * since Matsumoto & Kurita used a trinomial feedback polynomial (that
- * is, with only three taps, instead of the six that we are using).
- * As a result, the resulting polynomial is neither primitive nor
- * irreducible, and hence does not have a maximal period over
- * GF(2**32). They suggest a slight change to the generator
- * polynomial which improves the resulting TGFSR polynomial to be
- * irreducible, which we have made here.
- */
enum poolinfo {
- POOL_WORDS = 128,
- POOL_WORDMASK = POOL_WORDS - 1,
- POOL_BYTES = POOL_WORDS * sizeof(u32),
- POOL_BITS = POOL_BYTES * 8,
+ POOL_BITS = BLAKE2S_HASH_SIZE * 8,
POOL_BITSHIFT = ilog2(POOL_BITS),
/* To allow fractional bits to be tracked, the entropy_count field is
* denominated in units of 1/8th bits. */
POOL_ENTROPY_SHIFT = 3,
#define POOL_ENTROPY_BITS() (input_pool.entropy_count >> POOL_ENTROPY_SHIFT)
- POOL_FRACBITS = POOL_BITS << POOL_ENTROPY_SHIFT,
-
- /* x^128 + x^104 + x^76 + x^51 +x^25 + x + 1 */
- POOL_TAP1 = 104,
- POOL_TAP2 = 76,
- POOL_TAP3 = 51,
- POOL_TAP4 = 25,
- POOL_TAP5 = 1,
-
- EXTRACT_SIZE = BLAKE2S_HASH_SIZE / 2
+ POOL_FRACBITS = POOL_BITS << POOL_ENTROPY_SHIFT
};
/*
*/
static DECLARE_WAIT_QUEUE_HEAD(random_write_wait);
static struct fasync_struct *fasync;
+/*
+ * If the entropy count falls under this number of bits, then we
+ * should wake up processes which are selecting or polling on write
+ * access to /dev/random.
+ */
+static int random_write_wakeup_bits = POOL_BITS * 3 / 4;
static DEFINE_SPINLOCK(random_ready_list_lock);
static LIST_HEAD(random_ready_list);
*
**********************************************************************/
-static u32 input_pool_data[POOL_WORDS] __latent_entropy;
-
static struct {
+ struct blake2s_state hash;
spinlock_t lock;
- u16 add_ptr;
- u16 input_rotate;
int entropy_count;
} input_pool = {
+ .hash.h = { BLAKE2S_IV0 ^ (0x01010000 | BLAKE2S_HASH_SIZE),
+ BLAKE2S_IV1, BLAKE2S_IV2, BLAKE2S_IV3, BLAKE2S_IV4,
+ BLAKE2S_IV5, BLAKE2S_IV6, BLAKE2S_IV7 },
+ .hash.outlen = BLAKE2S_HASH_SIZE,
.lock = __SPIN_LOCK_UNLOCKED(input_pool.lock),
};
-static ssize_t extract_entropy(void *buf, size_t nbytes, int min);
-static ssize_t _extract_entropy(void *buf, size_t nbytes);
+static bool extract_entropy(void *buf, size_t nbytes, int min);
+static void _extract_entropy(void *buf, size_t nbytes);
static void crng_reseed(struct crng_state *crng, bool use_input_pool);
-static const u32 twist_table[8] = {
- 0x00000000, 0x3b6e20c8, 0x76dc4190, 0x4db26158,
- 0xedb88320, 0xd6d6a3e8, 0x9b64c2b0, 0xa00ae278 };
-
/*
* This function adds bytes into the entropy "pool". It does not
* update the entropy estimate. The caller should call
* credit_entropy_bits if this is appropriate.
- *
- * The pool is stirred with a primitive polynomial of the appropriate
- * degree, and then twisted. We twist by three bits at a time because
- * it's cheap to do so and helps slightly in the expected case where
- * the entropy is concentrated in the low-order bits.
*/
static void _mix_pool_bytes(const void *in, int nbytes)
{
- unsigned long i;
- int input_rotate;
- const u8 *bytes = in;
- u32 w;
-
- input_rotate = input_pool.input_rotate;
- i = input_pool.add_ptr;
-
- /* mix one byte at a time to simplify size handling and churn faster */
- while (nbytes--) {
- w = rol32(*bytes++, input_rotate);
- i = (i - 1) & POOL_WORDMASK;
-
- /* XOR in the various taps */
- w ^= input_pool_data[i];
- w ^= input_pool_data[(i + POOL_TAP1) & POOL_WORDMASK];
- w ^= input_pool_data[(i + POOL_TAP2) & POOL_WORDMASK];
- w ^= input_pool_data[(i + POOL_TAP3) & POOL_WORDMASK];
- w ^= input_pool_data[(i + POOL_TAP4) & POOL_WORDMASK];
- w ^= input_pool_data[(i + POOL_TAP5) & POOL_WORDMASK];
-
- /* Mix the result back in with a twist */
- input_pool_data[i] = (w >> 3) ^ twist_table[w & 7];
-
- /*
- * Normally, we add 7 bits of rotation to the pool.
- * At the beginning of the pool, add an extra 7 bits
- * rotation, so that successive passes spread the
- * input bits across the pool evenly.
- */
- input_rotate = (input_rotate + (i ? 7 : 14)) & 31;
- }
-
- input_pool.input_rotate = input_rotate;
- input_pool.add_ptr = i;
+ blake2s_update(&input_pool.hash, in, nbytes);
}
static void __mix_pool_bytes(const void *in, int nbytes)
static void crng_reseed(struct crng_state *crng, bool use_input_pool)
{
unsigned long flags;
- int i, num;
+ int i;
union {
u8 block[CHACHA20_BLOCK_SIZE];
u32 key[8];
} buf;
if (use_input_pool) {
- num = extract_entropy(&buf, 32, 16);
- if (num == 0)
+ if (!extract_entropy(&buf, 32, 16))
return;
} else {
_extract_crng(&primary_crng, buf.block);
}
/*
- * This function does the actual extraction for extract_entropy.
- *
- * Note: we assume that .poolwords is a multiple of 16 words.
+ * This is an HKDF-like construction for using the hashed collected entropy
+ * as a PRF key, that's then expanded block-by-block.
*/
-static void extract_buf(u8 *out)
+static void _extract_entropy(void *buf, size_t nbytes)
{
- struct blake2s_state state __aligned(__alignof__(unsigned long));
- u8 hash[BLAKE2S_HASH_SIZE];
- unsigned long *salt;
unsigned long flags;
-
- blake2s_init(&state, sizeof(hash));
-
- /*
- * If we have an architectural hardware random number
- * generator, use it for BLAKE2's salt & personal fields.
- */
- for (salt = (unsigned long *)&state.h[4];
- salt < (unsigned long *)&state.h[8]; ++salt) {
- unsigned long v;
- if (!arch_get_random_long(&v))
- break;
- *salt ^= v;
+ u8 seed[BLAKE2S_HASH_SIZE], next_key[BLAKE2S_HASH_SIZE];
+ struct {
+ unsigned long rdrand[32 / sizeof(long)];
+ size_t counter;
+ } block;
+ size_t i;
+
+ for (i = 0; i < ARRAY_SIZE(block.rdrand); ++i) {
+ if (!arch_get_random_long(&block.rdrand[i]))
+ block.rdrand[i] = random_get_entropy();
}
- /* Generate a hash across the pool */
spin_lock_irqsave(&input_pool.lock, flags);
- blake2s_update(&state, (const u8 *)input_pool_data, POOL_BYTES);
- blake2s_final(&state, hash); /* final zeros out state */
- /*
- * We mix the hash back into the pool to prevent backtracking
- * attacks (where the attacker knows the state of the pool
- * plus the current outputs, and attempts to find previous
- * outputs), unless the hash function can be inverted. By
- * mixing at least a hash worth of hash data back, we make
- * brute-forcing the feedback as hard as brute-forcing the
- * hash.
- */
- __mix_pool_bytes(hash, sizeof(hash));
- spin_unlock_irqrestore(&input_pool.lock, flags);
+ /* seed = HASHPRF(last_key, entropy_input) */
+ blake2s_final(&input_pool.hash, seed);
- /* Note that EXTRACT_SIZE is half of hash size here, because above
- * we've dumped the full length back into mixer. By reducing the
- * amount that we emit, we retain a level of forward secrecy.
- */
- memcpy(out, hash, EXTRACT_SIZE);
- memzero_explicit(hash, sizeof(hash));
-}
+ /* next_key = HASHPRF(seed, RDRAND || 0) */
+ block.counter = 0;
+ blake2s(next_key, (u8 *)&block, seed, sizeof(next_key), sizeof(block), sizeof(seed));
+ blake2s_init_key(&input_pool.hash, BLAKE2S_HASH_SIZE, next_key, sizeof(next_key));
-static ssize_t _extract_entropy(void *buf, size_t nbytes)
-{
- ssize_t ret = 0, i;
- u8 tmp[EXTRACT_SIZE];
+ spin_unlock_irqrestore(&input_pool.lock, flags);
+ memzero_explicit(next_key, sizeof(next_key));
while (nbytes) {
- extract_buf(tmp);
- i = min_t(int, nbytes, EXTRACT_SIZE);
- memcpy(buf, tmp, i);
+ i = min_t(size_t, nbytes, BLAKE2S_HASH_SIZE);
+ /* output = HASHPRF(seed, RDRAND || ++counter) */
+ ++block.counter;
+ blake2s(buf, (u8 *)&block, seed, i, sizeof(block), sizeof(seed));
nbytes -= i;
buf += i;
- ret += i;
}
- /* Wipe data just returned from memory */
- memzero_explicit(tmp, sizeof(tmp));
-
- return ret;
+ memzero_explicit(seed, sizeof(seed));
+ memzero_explicit(&block, sizeof(block));
}
/*
* returns it in a buffer.
*
* The min parameter specifies the minimum amount we can pull before
- * failing to avoid races that defeat catastrophic reseeding.
+ * failing to avoid races that defeat catastrophic reseeding. If we
+ * have less than min entropy available, we return false and buf is
+ * not filled.
*/
-static ssize_t extract_entropy(void *buf, size_t nbytes, int min)
+static bool extract_entropy(void *buf, size_t nbytes, int min)
{
trace_extract_entropy(nbytes, POOL_ENTROPY_BITS(), _RET_IP_);
- nbytes = account(nbytes, min);
- return _extract_entropy(buf, nbytes);
+ if (account(nbytes, min)) {
+ _extract_entropy(buf, nbytes);
+ return true;
+ }
+ return false;
}
#define warn_unseeded_randomness(previous) \
unsigned long rv;
mix_pool_bytes(&now, sizeof(now));
- for (i = POOL_BYTES; i > 0; i -= sizeof(rv)) {
+ for (i = BLAKE2S_BLOCK_SIZE; i > 0; i -= sizeof(rv)) {
if (!arch_get_random_seed_long(&rv) &&
!arch_get_random_long(&rv))
rv = random_get_entropy();