Struct hacspec_weierstrass::EllipticCurvePoint

pub struct EllipticCurvePoint<T> { /* private fields */ }

Implementations

impl<T: Numeric + NumericCopy + PartialEq + Integer + Div<Output = T>> EllipticCurvePoint<T>

pub fn new(
    x: T,
    y: T,
    isPointAtInfinity: bool,
    curve: WeiestrassCurve<T>
) -> EllipticCurvePoint<T>

Create point on a weierstrass curve. If given point is not on the curve, the point at infinity will be created instead.

Arguments

• x - the x-coordinate
• y - the y-coordinate
• isPointAtInfinity - the size of the scalar field used for scalar multiplication
• ‘curve’ - The ‘WeiestrassCurve’ object defining the curve

pub fn is_identity(self) -> bool

Checks if point is identity/point at infinity

pub fn double(self) -> EllipticCurvePoint<T>

Doubles point

pub fn neg(self) -> EllipticCurvePoint<T>

negates point as (x,-y)

pub fn is_on_curve(self) -> bool

Checks if point is on the curve point is on the curve IFF the point satisfies the Weiestrass equation: Yˆ2 + a_1XY + a_3Y = xˆ3 + a_2Xˆ2 + a_4X + a_6 or it is the point at infinity

Trait Implementations

impl<T: Numeric + NumericCopy + PartialEq + Integer + Div<Output = T>> Add<EllipticCurvePoint<T>> for EllipticCurvePoint<T>

fn add(self, other: EllipticCurvePoint<T>) -> Self

Adds two curve points

type Output = EllipticCurvePoint<T>

The resulting type after applying the + operator.

impl<T: Clone> Clone for EllipticCurvePoint<T>

fn clone(&self) -> EllipticCurvePoint<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Numeric + NumericCopy + Integer> Default for EllipticCurvePoint<T>

fn default() -> Self

Creates default instance of ‘EllipticCurvePoint’ as point at infinity The assosiated curve is set to be the default, which is all 0.

impl<U: Numeric + NumericCopy + PartialEq + Integer + Div<Output = U>, T: Numeric + NumericCopy + PartialEq + Integer + Div<Output = T>> Mul<U> for EllipticCurvePoint<T>

fn mul(self, rhs: U) -> Self::Output

Scalar multiplication as G * m G is curve point and m is scalar

type Output = EllipticCurvePoint<T>

The resulting type after applying the * operator.

impl<T: Numeric + NumericCopy + PartialEq + Integer> PartialEq<EllipticCurvePoint<T>> for EllipticCurvePoint<T>

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

Checks if two curve points are identical, regardless of underlying curve.

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

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

impl<T: Copy> Copy for EllipticCurvePoint<T>