ProjectiveECCPoint class

Represents a point in projective coordinates on an elliptic curve.

Inheritance

• Object
• AbstractPoint
• ProjectiveECCPoint

Constructors

ProjectiveECCPoint({required CurveFp curve, required BigInt x, required BigInt y, required BigInt z, BigInt? order, bool generator = false})

Constructs a ProjectiveECCPoint from the given coordinates and optional order and generator flag. The curve parameter specifies the elliptic curve. x, y, and z are the projective coordinates of the point. order is the order of the point, and generator indicates if the point is a generator.

factory

ProjectiveECCPoint.fromAffine(AbstractPoint point, {bool generator = false})

Constructs a ProjectiveECCPoint from an AffinePointt in affine coordinates.

factory

ProjectiveECCPoint.fromBytes({required CurveFp curve, required List<int> data, BigInt? order})

Constructs a ProjectiveECCPoint from a byte representation. The curve parameter specifies the elliptic curve, and data is the byte data. order is the order of the point.

factory

ProjectiveECCPoint.infinity(CurveFp curve)

Constructs a special ProjectiveECCPoint representing infinity on the elliptic curve. The curve parameter specifies the elliptic curve.

factory

Properties

curve ↔ CurveFp

The elliptic curve associated with this point.

getter/setter pair, override-getter

generator ↔ bool

Indicates whether the point is a generator.

getter/setter pair

hashCode → int

The hash code for this object.

no setter, override

isInfinity → bool

check if point is infinity

no setter, override

order → BigInt?

The order of the point (can be null if unknown).

final

runtimeType → Type

A representation of the runtime type of the object.

no setter, inherited

x → BigInt

Get the x-coordinate of this point in the projective elliptic curve coordinates.

no setter, override

y → BigInt

Get the y-coordinate of this point in projective elliptic curve coordinates.

no setter, override

Methods

doublePoint() → ProjectiveECCPoint

Doubles a point in projective coordinates on an elliptic curve and returns the result.

override

getCoords() → List<BigInt>

mulAdd(BigInt selfMul, AbstractPoint otherPoint, BigInt otherMul) → ProjectiveECCPoint

Multiplies this point by a scalar value selfMul and adds another point otherPoint multiplied by otherMul.

noSuchMethod(Invocation invocation) → dynamic

Invoked when a nonexistent method or property is accessed.

inherited

scale() → ProjectiveECCPoint

The coordinates are updated to the scaled values, and the scaled point is returned.

toAffine() → AffinePointt

Converts the projective point to an affine point.

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 scalar) → ProjectiveECCPoint

Multiplies this point by a scalar value.

override

operator +(AbstractPoint other) → AbstractPoint

Adds another point to this point.

override

operator ==(Object other) → bool

equal operation

override

operator unary-() → ProjectiveECCPoint