Exemplo n.º 1
0
ECPoint ECPoint::operator+(const ECPoint& p2) const
{
    ECPoint p1 = *this;

    ECPoint p3;
    p3.a = p1.a;
    p3.b = p1.b;
    p3.FieldChar = p1.FieldChar;

    BigInteger dy = p2.y - p1.y;
    BigInteger dx = p2.x - p1.x;

    if (dx < 0)
        dx = dx + p1.FieldChar;

    if (dy < 0)
        dy = dy + p1.FieldChar;

    BigInteger m = (dy * dx.modInverse(p1.FieldChar)) % p1.FieldChar;

    if (m < 0)
        m = m + p1.FieldChar;

    p3.x = (m * m - p1.x - p2.x) % p1.FieldChar;
    p3.y = (m * (p1.x - p3.x) - p1.y) % p1.FieldChar;

    if (p3.x < 0)
        p3.x = p3.x + p1.FieldChar;

    if (p3.y < 0)
        p3.y = p3.y + p1.FieldChar;

    return p3;
}
Exemplo n.º 2
0
ECPoint ECPoint::Double() const
{
    ECPoint p = *this;

    ECPoint p2;
    p2.a = p.a;
    p2.b = p.b;
    p2.FieldChar = p.FieldChar;

    BigInteger dy = p.x * p.x * 3 + p.a;
    BigInteger dx = p.y * 2;

    if (dx < 0)
        dx = dx + p.FieldChar;

    if (dy < 0)
        dy = dy + p.FieldChar;

    BigInteger m = (dy * dx.modInverse(p.FieldChar)) % p.FieldChar;

    p2.x = (m * m - p.x - p.x) % p.FieldChar;
    p2.y = (m * (p.x - p2.x) - p.y) % p.FieldChar;

    if (p2.x < 0)
        p2.x = p2.x + p.FieldChar;

    if (p2.y < 0)
        p2.y = p2.y + p.FieldChar;

    return p2;
}