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Introduce the complete point addition formulas to short-weierstrass

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Luke Parker
2025-08-28 23:16:16 -04:00
parent 62bb75e09a
commit beac35c119
4 changed files with 79 additions and 14 deletions
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4
crypto/short-weierstrass/src/lib.rs
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@@ -22,6 +22,8 @@ pub trait ShortWeierstrass: 'static + Sized + Debug {
const A: Self::FieldElement;
/// The constant `B` from the curve equation.
const B: Self::FieldElement;
/// If the elliptic curve is of prime order.
const PRIME_ORDER: bool;
/// A generator of this elliptic curve's largest prime-order subgroup.
const GENERATOR: Affine<Self>;
/// The scalar type for the elliptic curve's largest prime-order subgroup.
@@ -44,6 +46,6 @@ pub trait ShortWeierstrass: 'static + Sized + Debug {
/// If the point is outside the largest prime-order subgroup and isn't the identity point.
///
/// This may immediately return `Choice::new(0)` for curves of prime order.
/// This SHOULD immediately return `Choice::new(0)` for curves of prime order.
fn has_torsion_element(point: Projective<Self>) -> Choice;
}