Struct Curve2 

pub struct Curve2 {
    pub a: Fp2,
    pub b: Fp2,
    pub p: BigInt,
}

A Weierstrass curve y² = x³ + ax + b over 𝔽_{p²}.

Fields

a: Fp2

b: Fp2

p: BigInt

Implementations

impl Curve2

pub fn new(a: Fp2, b: Fp2, p: BigInt) -> Curve2

pub fn is_on_curve(&self, pt: &Point2) -> bool

pub fn negate(&self, pt: &Point2) -> Point2

pub fn add(&self, p1: &Point2, p2: &Point2) -> Point2

pub fn double(&self, pt: &Point2) -> Point2

pub fn mul(&self, k: &BigInt, pt: &Point2) -> Point2

Scalar multiplication k·P by double-and-add (k ≥ 0).

pub fn j_invariant(&self) -> Option<Fp2>

The j-invariant in 𝔽_{p²} — the supersingular-graph vertex this curve sits at.

Trait Implementations

impl Clone for Curve2

fn clone(&self) -> Curve2

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Curve2

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PartialEq for Curve2

fn eq(&self, other: &Curve2) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Eq for Curve2

impl StructuralPartialEq for Curve2