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//! Define helpers for working with types in constant time.
use subtle::{Choice, ConditionallySelectable, ConstantTimeEq};
/// A byte array of length N for which comparisons are performed in constant
/// time.
///
/// # Limitations
///
/// It is possible to avoid constant time comparisons here, just by using the
/// `as_ref()` and `as_mut()` methods. They should therefore be approached with
/// some caution.
///
/// (The decision to avoid implementing `Deref`/`DerefMut` is deliberate.)
#[allow(clippy::derive_hash_xor_eq)]
#[derive(Clone, Copy, Debug, Hash)]
pub struct CtByteArray<const N: usize>([u8; N]);
impl<const N: usize> ConstantTimeEq for CtByteArray<N> {
fn ct_eq(&self, other: &Self) -> Choice {
self.0.ct_eq(&other.0)
}
}
impl<const N: usize> PartialEq for CtByteArray<N> {
fn eq(&self, other: &Self) -> bool {
self.ct_eq(other).into()
}
}
impl<const N: usize> Eq for CtByteArray<N> {}
impl<const N: usize> From<[u8; N]> for CtByteArray<N> {
fn from(value: [u8; N]) -> Self {
Self(value)
}
}
impl<const N: usize> From<CtByteArray<N>> for [u8; N] {
fn from(value: CtByteArray<N>) -> Self {
value.0
}
}
impl<const N: usize> Ord for CtByteArray<N> {
fn cmp(&self, other: &Self) -> std::cmp::Ordering {
// At every point, this value will be set to:
// 0 if a[i]==b[i] for all i considered so far.
// a[i] - b[i] for the lowest i that has a nonzero a[i] - b[i].
let mut first_nonzero_difference = 0_i16;
for (a, b) in self.0.iter().zip(other.0.iter()) {
let difference = i16::from(*a) - i16::from(*b);
// If it's already set to a nonzero value, this conditional
// assignment does nothing. Otherwise, it sets it to `difference`.
//
// The use of conditional_assign and ct_eq ensures that the compiler
// won't short-circuit our logic here and end the loop (or stop
// computing differences) on the first nonzero difference.
first_nonzero_difference
.conditional_assign(&difference, first_nonzero_difference.ct_eq(&0));
}
// This comparison with zero is not itself constant-time, but that's
// okay: we only want our Ord function not to leak the array values.
first_nonzero_difference.cmp(&0)
}
}
impl<const N: usize> PartialOrd for CtByteArray<N> {
fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
Some(self.cmp(other))
}
}
impl<const N: usize> AsRef<[u8; N]> for CtByteArray<N> {
fn as_ref(&self) -> &[u8; N] {
&self.0
}
}
impl<const N: usize> AsMut<[u8; N]> for CtByteArray<N> {
fn as_mut(&mut self) -> &mut [u8; N] {
&mut self.0
}
}
#[cfg(test)]
mod test {
use super::*;
use rand::Rng;
use tor_basic_utils::test_rng;
#[allow(clippy::nonminimal_bool)]
#[test]
fn test_comparisons() {
let num = 200;
let mut rng = test_rng::testing_rng();
let mut array: Vec<CtByteArray<32>> =
(0..num).map(|_| rng.gen::<[u8; 32]>().into()).collect();
array.sort();
for i in 0..num {
assert_eq!(array[i], array[i]);
assert!(!(array[i] < array[i]));
assert!(!(array[i] > array[i]));
for j in (i + 1)..num {
// Note that this test will behave incorrectly if the rng
// generates the same 256 value twice, but that's ridiculously
// implausible.
assert!(array[i] < array[j]);
assert_ne!(array[i], array[j]);
assert!(array[j] > array[i]);
assert_eq!(
array[i].cmp(&array[j]),
array[j].as_ref().cmp(array[i].as_ref()).reverse()
);
}
}
}
}
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