@Override
public Fq6DoubleElement<P> sub(Fq6DoubleElement<P> element) {
return field.getDoubleElement(a.sub(element.a), b.sub(element.b), c.sub(element.c));
}
@Override
public Fq6DoubleElement<P> clone() {
return field.getDoubleElement(a.clone(), b.clone(), c.clone());
}
@Override
public Fq6DoubleElement<P> add(Fq6DoubleElement<P> element) {
return field.getDoubleElement(a.add(element.a), b.add(element.b), c.add(element.c));
}
/**
* Algorithm 12 of "High-Speed Software Implementation of the Optimal Ate Pairing over
* Barreto–Naehrig Curves" (Beuchat et al.), but adapted such that it computes x * gamma + y.
* (Hence the shifted coefficients in algorithm 11).
*
* <p>Stack: F(q^12) = F(q^6)[w]/(w^2-gamma), F(q^6) = F(q^2)[gamma]/(gamma^3-xi) and F(q^2) =
* F(q)[u](u^2-beta)
*
* @param y The element to add
* @return A new double-precision element representing x * gamma + y
*/
public Fq6DoubleElement<P> mulGammaAdd(Fq6DoubleElement<P> y) {
Fq2DoubleElement<P> outa = c.mulXi().addMutable(y.a);
Fq2DoubleElement<P> outb = a.add(y.b);
Fq2DoubleElement<P> outc = b.add(y.c);
return field.getDoubleElement(outa, outb, outc);
}