Struct EllipticCurve 

pub struct EllipticCurve {
    pub a: BigUint,
    pub b: BigUint,
    pub p: BigUint,
}

This represents an elliptic curve of the form y^2 = x^3 + ax + b mod p

Fields

a: BigUint

b: BigUint

p: BigUint

Implementations

impl EllipticCurve

pub fn add(&self, a: &Point, b: &Point) -> Result<Point, EllipticCurveError>

Perform a point addition: C = A + B where A and B are points which belong to the curve. Geometrically speaking, the point C is the x-reflection of the intersection of the lines that passes through A and B and intersects the curve.

pub fn double(&self, a: &Point) -> Result<Point, EllipticCurveError>

Perform a point doubling: B = A + A = 2 * A where A is a point in the curve. Geometrically speaking, the point B is the intersection of the tangent line over A that intersects the curve.

pub fn scalar_mul( &self, a: &Point, d: &BigUint, ) -> Result<Point, EllipticCurveError>

Perform a scalar multiplication of a point: B = d * A where A is a point in the curve and d > 0 is a positive scalar of any value.

It uses the addition/doubling algorithm

 T = A
 for i in [(bits of d)-1), 0]
      T = 2 * T
      if bit i of d == 1
          T = T + A

pub fn is_on_curve(&self, a: &Point) -> bool

Checks if a point A = (x,y) belongs to the elliptic curve:

if y^2 = x^3 + a * x + b mod p then returns true, if not, returns false.

Trait Implementations

impl Clone for EllipticCurve

fn clone(&self) -> EllipticCurve

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for EllipticCurve

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

Formats the value using the given formatter.

impl PartialEq for EllipticCurve

fn eq(&self, other: &EllipticCurve) -> 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 StructuralPartialEq for EllipticCurve