/**
* Quotient multiplication.
*
* @param S Quotient.
* @return this*S.
*/
public Quotient<C> multiply(Quotient<C> S) {
if (S == null || S.isZERO()) {
return S;
}
if (num.isZERO()) {
return this;
}
if (S.isONE()) {
return this;
}
if (this.isONE()) {
return S;
}
C n = num.multiply(S.num);
C d = den.multiply(S.den);
return new Quotient<C>(ring, n, d, false);
}
/**
* Quotient subtraction.
*
* @param S Quotient.
* @return this-S.
*/
public Quotient<C> subtract(Quotient<C> S) {
if (S == null || S.isZERO()) {
return this;
}
C n = num.multiply(S.den);
n = n.subtract(den.multiply(S.num));
C d = den.multiply(S.den);
return new Quotient<C>(ring, n, d, false);
}
// JAVA6only: @Override
public int compareTo(Quotient<C> b) {
if (b == null || b.isZERO()) {
return this.signum();
}
C r = num.multiply(b.den);
C s = den.multiply(b.num);
C x = r.subtract(s);
return x.signum();
}
/**
* Quotient division.
*
* @param S Quotient.
* @return this/S.
*/
public Quotient<C> divide(Quotient<C> S) {
return multiply(S.inverse());
}