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86 changes: 60 additions & 26 deletions src/uint/rand.rs
Original file line number Diff line number Diff line change
@@ -1,7 +1,9 @@
//! Random number generator support

use core::cmp::Ordering;

use super::{Uint, Word};
use crate::{Encoding, Limb, NonZero, Random, RandomBits, RandomBitsError, RandomMod, Zero};
use crate::{Limb, NonZero, Random, RandomBits, RandomBitsError, RandomMod, Zero};
use rand_core::{RngCore, TryRngCore};
use subtle::ConstantTimeLess;

Expand Down Expand Up @@ -121,45 +123,42 @@ impl<const LIMBS: usize> RandomMod for Uint<LIMBS> {
// TODO(tarcieri): obtain `n_bits` via a trait like `Integer`
pub(super) fn random_mod_core<T, R: TryRngCore + ?Sized>(
rng: &mut R,
n: &mut T,
modulus: &NonZero<T>,
x: &mut T,
n: &NonZero<T>,
n_bits: u32,
) -> Result<(), R::Error>
where
T: AsMut<[Limb]> + AsRef<[Limb]> + ConstantTimeLess + Zero,
{
#[cfg(target_pointer_width = "64")]
let mut next_word = || rng.try_next_u64();
let next_word = |rng: &mut R| rng.try_next_u64();
#[cfg(target_pointer_width = "32")]
let mut next_word = || rng.try_next_u32();
let next_word = |rng: &mut R| rng.try_next_u32();

let n_limbs = n_bits.div_ceil(Limb::BITS) as usize;
let mask = !0 >> n.as_ref().as_ref()[n_limbs - 1].0.leading_zeros();

let hi_word_modulus = modulus.as_ref().as_ref()[n_limbs - 1].0;
let mask = !0 >> hi_word_modulus.leading_zeros();
let mut hi_word = next_word()? & mask;

loop {
while hi_word > hi_word_modulus {
hi_word = next_word()? & mask;
'outer: loop {
for limb in &mut x.as_mut()[..n_limbs - 1] {
*limb = Limb::from(next_word(rng)?);
}
// Set high limb
n.as_mut()[n_limbs - 1] = Limb::from_le_bytes(hi_word.to_le_bytes());
// Set low limbs
for i in 0..n_limbs - 1 {
// Need to deserialize from little-endian to make sure that two 32-bit limbs
// deserialized sequentially are equal to one 64-bit limb produced from the same
// byte stream.
n.as_mut()[i] = Limb::from_le_bytes(next_word()?.to_le_bytes());
x.as_mut()[n_limbs - 1] = Limb::from(next_word(rng)? & mask);
if cfg!(target_pointer_width = "32") && n_limbs & 1 == 1 {
// Read entropy in 64-bit blocks, even on 32-bit platforms.
let _ = rng.try_next_u32()?;
}
// If the high limb is equal to the modulus' high limb, it's still possible
// that the full uint is too big so we check and repeat if it is.
if n.ct_lt(modulus).into() {
break;
// Do a manual, variable-time comparison loop here to avoid a compiler bug that causes a
// hang on linux-aarch64 under `--release` with `Uint` of 5 or more limbs using `ct_lt`.
let x = x.as_ref();
let n = n.as_ref().as_ref();
for i in (0..n_limbs).rev() {
match x[i].cmp(&n[i]) {
Ordering::Less => return Ok(()),
Ordering::Greater => continue 'outer,
Ordering::Equal => (),
}
}
hi_word = next_word()? & mask;
}
Ok(())
}

#[cfg(test)]
Expand Down Expand Up @@ -288,6 +287,41 @@ mod tests {
);
}

/// Make sure random_mod output is consistent across platforms
#[test]
fn random_mod_platform_independence() {
let mut rng = get_four_sequential_rng();

let modulus = NonZero::new(U256::from_u32(8192)).unwrap();
let mut vals = [U256::ZERO; 5];
for val in &mut vals {
*val = U256::random_mod(&mut rng, &modulus);
}
let expected = [55, 2172, 1657, 4668, 7688];
for (want, got) in expected.into_iter().zip(vals.into_iter()) {
// assert_eq!(got.as_words()[0], want);
assert_eq!(got, U256::from_u32(want));
}

let modulus =
NonZero::new(U256::ZERO.wrapping_sub(&U256::from_u64(rng.next_u64()))).unwrap();
let val = U256::random_mod(&mut rng, &modulus);
assert_eq!(
val,
U256::from_be_hex("C3B919AE0D16DF2259CD1A8A9B8EA8E0862878227D4B40A3C54302F2EB1E2F69")
);

let mut state = [0u8; 16];
rng.fill_bytes(&mut state);

assert_eq!(
state,
[
71, 204, 238, 147, 198, 196, 132, 164, 240, 211, 223, 12, 36, 189, 139, 48,
],
);
}

/// Test that random bytes are sampled consecutively.
#[test]
fn random_bits_4_bytes_sequential() {
Expand Down