Previously, we used a little bit of generation to drive a lot of Rust macros. This works, but it's a little confusing to read and write. In addition, we used a lot of implementations with variable timings based on their input, which isn't great for crypto. This is the start of an attempt to just generate all of the relevant Rust code directly, and to use timing-channel resistant implementations for most of the routines.
116 lines
4.1 KiB
Rust
116 lines
4.1 KiB
Rust
/// Modular exponentiation for a value.
|
|
pub trait ModExp<T> {
|
|
/// Modular exponentiation using the given modulus type. If it's possible,
|
|
/// we suggest using Barrett values, which are much faster than doing
|
|
/// modulo with the number types.
|
|
fn modexp(&self, e: &Self, m: &T) -> Self;
|
|
}
|
|
|
|
macro_rules! modexp_impls {
|
|
($name: ident, $other: ident) => {
|
|
impl ModExp<$other> for $name {
|
|
fn modexp(&self, ine: &$name, m: &$other) -> $name {
|
|
// S <- g
|
|
let mut s = self.clone();
|
|
// A <- 1
|
|
let mut a = $name::from(1u64);
|
|
// We do a quick skim through and find the highest index that
|
|
// actually has a value in it.
|
|
let mut e = ine.clone();
|
|
// While e != 0 do the following:
|
|
while e.value.iter().any(|x| *x != 0) {
|
|
// If e is odd then A <- A * S
|
|
if e.value[0] & 1 != 0 {
|
|
a = a.modmul(&s, m);
|
|
}
|
|
// e <- floor(e / 2)
|
|
let mut carry = 0;
|
|
e.value.iter_mut().rev().for_each(|x| {
|
|
let new_carry = *x & 1;
|
|
*x = (*x >> 1) | (carry << 63);
|
|
carry = new_carry;
|
|
});
|
|
// If e != 0 then S <- S * S
|
|
s = s.modsq(m);
|
|
}
|
|
// Return A
|
|
a
|
|
}
|
|
}
|
|
};
|
|
}
|
|
|
|
#[cfg(test)]
|
|
macro_rules! generate_modexp_tests {
|
|
($name: ident, $lname: ident) => {
|
|
#[test]
|
|
fn $lname() {
|
|
generate_modexp_tests!(body $name, $lname);
|
|
}
|
|
};
|
|
(ignore $name: ident, $lname: ident) => {
|
|
#[test]
|
|
#[ignore]
|
|
fn $lname() {
|
|
generate_modexp_tests!(body $name, $lname);
|
|
}
|
|
};
|
|
(body $name: ident, $lname: ident) => {
|
|
let fname = build_test_path("modexp", stringify!($name));
|
|
run_test(fname.to_string(), 6, |case| {
|
|
let (neg0, bbytes) = case.get("b").unwrap();
|
|
let (neg1, ebytes) = case.get("e").unwrap();
|
|
let (neg2, mbytes) = case.get("m").unwrap();
|
|
let (neg3, rbytes) = case.get("r").unwrap();
|
|
assert!(!neg0 && !neg1 && !neg2 && !neg3);
|
|
|
|
let b = $name::from_bytes(bbytes);
|
|
let e = $name::from_bytes(ebytes);
|
|
let m = $name::from_bytes(mbytes);
|
|
let r = $name::from_bytes(rbytes);
|
|
assert_eq!(r, b.modexp(&e, &m));
|
|
});
|
|
};
|
|
}
|
|
|
|
#[cfg(test)]
|
|
macro_rules! generate_barrett_modexp_tests {
|
|
(ignore $name: ident, $lname: ident, $bname: ident) => {
|
|
#[test]
|
|
#[ignore]
|
|
fn $lname() {
|
|
generate_barrett_modexp_tests!(body $name, $lname, $bname);
|
|
}
|
|
};
|
|
($name: ident, $lname: ident, $bname: ident) => {
|
|
#[test]
|
|
fn $lname() {
|
|
generate_barrett_modexp_tests!(body $name, $lname, $bname);
|
|
}
|
|
};
|
|
(body $name: ident, $lname: ident, $bname: ident) => {
|
|
let fname = build_test_path("modexp", stringify!($name));
|
|
run_test(fname.to_string(), 6, |case| {
|
|
let (neg0, bbytes) = case.get("b").unwrap();
|
|
let (neg1, ebytes) = case.get("e").unwrap();
|
|
let (neg2, mbytes) = case.get("m").unwrap();
|
|
let (neg3, rbytes) = case.get("r").unwrap();
|
|
let (neg4, kbytes) = case.get("k").unwrap();
|
|
let (neg5, ubytes) = case.get("u").unwrap();
|
|
assert!(!neg0 && !neg1 && !neg2 && !neg3 && !neg4 && !neg5);
|
|
|
|
let b = $name::from_bytes(bbytes);
|
|
let e = $name::from_bytes(ebytes);
|
|
let m = $name::from_bytes(mbytes);
|
|
let r = $name::from_bytes(rbytes);
|
|
let kbig = $name::from_bytes(kbytes);
|
|
let k = usize::from(kbig);
|
|
let mu = $bname::from_bytes(ubytes);
|
|
let bar = $name::new_barrett(k, $bname::from(m), mu);
|
|
|
|
if k == b.value.len() {
|
|
assert_eq!(r, b.modexp(&e, &bar));
|
|
}
|
|
});
|
|
};
|
|
} |