operator == method

@override bool operator ==(Object other)

equal operation

Implementation

@override
bool operator ==(other) {
  if (other is! BaseProjectivePointNative) {
    return false;
  }
  // Extract coordinates for the current point.
  final BigInt x1 = _coords[0];
  final BigInt y1 = _coords[1];
  final BigInt z1 = _coords[2];

  // Get the prime field modulus from the curve.
  final p = curve.p;

  // Calculate the square of z1 modulo p.
  final zz1 = (z1 * z1) % p;

  // If 'other' represents an infinity point, check if this point is also at infinity.
  if (other.isZero()) {
    return y1 == BigInt.zero || z1 == BigInt.zero;
  }

  // Extract coordinates for 'other' point.
  BigInt x2;
  BigInt y2;
  BigInt z2;
  if (other is ProjectivAffinePoint) {
    x2 = other.x;
    y2 = other.y;
    z2 = BigInt.one;
  } else if (other is ProjectiveECCPoint) {
    x2 = other._coords[0];
    y2 = other._coords[1];
    z2 = other._coords[2];
  } else {
    return false;
  }

  // Ensure both points belong to the same curve.
  if (curve != other.curve) {
    return false;
  }

  // Calculate the square of z2 modulo p.
  final zz2 = (z2 * z2) % p;

  // Check if the points are equal in projective coordinates.
  return ((x1 * zz2 - x2 * zz1) % p == BigInt.zero) &&
      ((y1 * zz2 * z2 - y2 * zz1 * z1) % p == BigInt.zero);
}