Remove FieldExt::ROOT_OF_UNITY

We can use the `ff::PrimeField::root_of_unity` method everywhere we
currently use this associated constant. If there is a more general
need for accessing this as an associated constant, we should consider
that for `ff::PrimeField`.
This commit is contained in:
Jack Grigg 2021-09-20 16:46:54 +01:00
parent 275dad22ad
commit aeda766c34
5 changed files with 17 additions and 19 deletions

View file

@ -6,6 +6,9 @@ and this project adheres to Rust's notion of
[Semantic Versioning](https://semver.org/spec/v2.0.0.html).
## [Unreleased]
### Removed
- `pasta_curves::arithmetic`:
- `FieldExt::ROOT_OF_UNITY` (use `ff::PrimeField::root_of_unity` instead).
## [0.2.1] - 2021-09-17
### Changed

View file

@ -28,10 +28,7 @@ pub trait FieldExt: ff::PrimeField + From<bool> + Ord + Group<Scalar = Self> {
/// Modulus of the field written as a string for display purposes
const MODULUS: &'static str;
/// Generator of the $2^S$ multiplicative subgroup
const ROOT_OF_UNITY: Self;
/// Inverse of `ROOT_OF_UNITY`
/// Inverse of `PrimeField::root_of_unity()`
const ROOT_OF_UNITY_INV: Self;
/// The value $(T-1)/2$ such that $2^S \cdot T = p - 1$ with $T$ odd.
@ -233,7 +230,7 @@ impl<F: FieldExt> SqrtTables<F> {
marker: PhantomData,
};
let mut gtab = (0..4).scan(F::ROOT_OF_UNITY, |gi, _| {
let mut gtab = (0..4).scan(F::root_of_unity(), |gi, _| {
// gi == ROOT_OF_UNITY^(256^i)
let gtab_i: Vec<F> = (0..256)
.scan(F::one(), |acc, _| {
@ -331,7 +328,7 @@ impl<F: FieldExt> SqrtTables<F> {
let sqdiv = res.square() * div;
let is_square = (sqdiv - num).is_zero();
let is_nonsquare = (sqdiv - F::ROOT_OF_UNITY * num).is_zero();
let is_nonsquare = (sqdiv - F::root_of_unity() * num).is_zero();
assert!(bool::from(
num.is_zero() | div.is_zero() | (is_square ^ is_nonsquare)
));
@ -348,7 +345,7 @@ impl<F: FieldExt> SqrtTables<F> {
let sq = res.square();
let is_square = (sq - u).is_zero();
let is_nonsquare = (sq - F::ROOT_OF_UNITY * u).is_zero();
let is_nonsquare = (sq - F::root_of_unity() * u).is_zero();
assert!(bool::from(u.is_zero() | (is_square ^ is_nonsquare)));
(is_square, res)

View file

@ -1100,7 +1100,7 @@ impl Ep {
0x4000000000000000,
]);
/// `(F::ROOT_OF_UNITY.invert().unwrap() * z).sqrt().unwrap()`
/// `(F::root_of_unity().invert().unwrap() * z).sqrt().unwrap()`
pub const THETA: Fp = Fp::from_raw([
0xca330bcc09ac318e,
0x51f64fc4dc888857,
@ -1200,7 +1200,7 @@ impl Eq {
0x4000000000000000,
]);
/// `(F::ROOT_OF_UNITY.invert().unwrap() * z).sqrt().unwrap()`
/// `(F::root_of_unity().invert().unwrap() * z).sqrt().unwrap()`
pub const THETA: Fq = Fq::from_raw([
0x632cae9872df1b5d,
0x38578ccadf03ac27,

View file

@ -673,7 +673,6 @@ lazy_static! {
impl FieldExt for Fp {
const MODULUS: &'static str =
"0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001";
const ROOT_OF_UNITY: Self = ROOT_OF_UNITY;
const ROOT_OF_UNITY_INV: Self = Fp::from_raw([
0xf0b87c7db2ce91f6,
0x84a0a1d8859f066f,
@ -854,8 +853,8 @@ fn test_sqrt_ratio_and_alt() {
assert!(v_alt == v);
// (false, sqrt(ROOT_OF_UNITY * num/div)), if num and div are nonzero and num/div is a nonsquare in the field
let num = num * Fp::ROOT_OF_UNITY;
let expected = Fp::TWO_INV * Fp::ROOT_OF_UNITY * Fp::from_u64(5).invert().unwrap();
let num = num * Fp::root_of_unity();
let expected = Fp::TWO_INV * Fp::root_of_unity() * Fp::from_u64(5).invert().unwrap();
let (is_square, v) = Fp::sqrt_ratio(&num, &div);
assert!(!bool::from(is_square));
assert!(v == expected || (-v) == expected);
@ -904,7 +903,7 @@ fn test_zeta() {
#[test]
fn test_root_of_unity() {
assert_eq!(
Fp::ROOT_OF_UNITY.pow_vartime(&[1 << Fp::S, 0, 0, 0]),
Fp::root_of_unity().pow_vartime(&[1 << Fp::S, 0, 0, 0]),
Fp::one()
);
}
@ -912,7 +911,7 @@ fn test_root_of_unity() {
#[cfg(feature = "std")]
#[test]
fn test_inv_root_of_unity() {
assert_eq!(Fp::ROOT_OF_UNITY_INV, Fp::ROOT_OF_UNITY.invert().unwrap());
assert_eq!(Fp::ROOT_OF_UNITY_INV, Fp::root_of_unity().invert().unwrap());
}
#[cfg(feature = "std")]

View file

@ -673,7 +673,6 @@ lazy_static! {
impl FieldExt for Fq {
const MODULUS: &'static str =
"0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001";
const ROOT_OF_UNITY: Self = ROOT_OF_UNITY;
const ROOT_OF_UNITY_INV: Self = Fq::from_raw([
0x57eecda0a84b6836,
0x4ad38b9084b8a80c,
@ -854,8 +853,8 @@ fn test_sqrt_ratio_and_alt() {
assert!(v_alt == v);
// (false, sqrt(ROOT_OF_UNITY * num/div)), if num and div are nonzero and num/div is a nonsquare in the field
let num = num * Fq::ROOT_OF_UNITY;
let expected = Fq::TWO_INV * Fq::ROOT_OF_UNITY * Fq::from_u64(5).invert().unwrap();
let num = num * Fq::root_of_unity();
let expected = Fq::TWO_INV * Fq::root_of_unity() * Fq::from_u64(5).invert().unwrap();
let (is_square, v) = Fq::sqrt_ratio(&num, &div);
assert!(!bool::from(is_square));
assert!(v == expected || (-v) == expected);
@ -903,7 +902,7 @@ fn test_zeta() {
#[test]
fn test_root_of_unity() {
assert_eq!(
Fq::ROOT_OF_UNITY.pow_vartime(&[1 << Fq::S, 0, 0, 0]),
Fq::root_of_unity().pow_vartime(&[1 << Fq::S, 0, 0, 0]),
Fq::one()
);
}
@ -911,7 +910,7 @@ fn test_root_of_unity() {
#[cfg(feature = "std")]
#[test]
fn test_inv_root_of_unity() {
assert_eq!(Fq::ROOT_OF_UNITY_INV, Fq::ROOT_OF_UNITY.invert().unwrap());
assert_eq!(Fq::ROOT_OF_UNITY_INV, Fq::root_of_unity().invert().unwrap());
}
#[cfg(feature = "std")]