AffinePointt class

Represents a point in affine coordinates on an elliptic curve.

Inheritance

• Object
• AbstractPoint
• AffinePointt

Constructors

AffinePointt(CurveFp curve, BigInt x, BigInt y, {BigInt? order})

AffinePointt.infinity(CurveFp curve)

Factory method to create an infinity point on the given curve.

factory

Properties

curve → CurveFp

Represents the elliptic curve to which this point belongs.

final

hashCode → int

The hash code for this object.

no setter, override

isInfinity → bool

Checks if this AffinePointt represents the point at infinity (O), which is defined by having x and y coordinates both equal to zero.

no setter, override

order → BigInt?

Represents the order of this point, which is the number of times this point can be added to itself before reaching the infinity point.

final

runtimeType → Type

A representation of the runtime type of the object.

no setter, inherited

x → BigInt

Represents the x-coordinate of this point in affine coordinates.

final

y → BigInt

Represents the y-coordinate of this point in affine coordinates.

final

Methods

doublePoint() → AffinePointt

Doubles the AffinePointt by performing point doubling operation. It computes the new point representing the result of doubling this point on the elliptic curve. If this is the point at infinity, it returns the point at infinity.

override

noSuchMethod(Invocation invocation) → dynamic

Invoked when a nonexistent method or property is accessed.

inherited

toBytes([EncodeType encodeType = EncodeType.comprossed]) → List<int>

Converts the elliptic curve point to a byte array with the specified encoding type. The default encoding type is 'compressed'.

inherited

toHex([EncodeType encodeType = EncodeType.comprossed]) → String

Encodes the elliptic curve point as a hexadecimal string with the specified encoding type. The default encoding type is 'compressed'.

inherited

toString() → String

A string representation of this object.

inherited

Operators

operator *(BigInt other) → AffinePointt

Overrides the multiplication operator (*) to perform point scalar multiplication. It multiplies the AffinePointt instance by a scalar other and returns a new AffinePointt representing the result.

override

operator +(AbstractPoint other) → AbstractPoint

Overrides the addition operator (+) to perform point addition between this AffinePointt and another AbstractPoint. The result is a new AffinePointt. If one of the points is the point at infinity, it returns the other point. If the x-coordinates of both points are equal, and the sum of their y-coordinates modulo curve.p equals zero, the result is the point at infinity. Otherwise, it computes the sum using the provided addition formula.

override

operator ==(Object other) → bool

Overrides the equality operator (==) to compare this AffinePointt instance with another object. It returns true if the other object is also an AffinePointt and if the curve, x, and y coordinates match.

override

operator unary-() → AffinePointt

Negates this point and returns the result.