/// <summary>
/// Gets the S-polynomial as defined in section 2.6 of CLO
/// </summary>
/// <param name="other">The other polynomial with respect to which the S-polynomial is to be calculated.s</param>
/// <returns>The S-polynomial of the combination - this and other.</returns>
public Polynomial GetSPolynomial(Polynomial other)
{
Monomial lcm = this.GetLeadingTerm().LCM(other.GetLeadingTerm());
Polynomial thisTerm = new Polynomial(this);
thisTerm.MultiplyMonomial(lcm.DivideBy(this.GetLeadingTerm()));
thisTerm.MultiplyScalar(1 / this.GetLeadingCoefficient());
Polynomial otherTerm = new Polynomial(other);
otherTerm.MultiplyMonomial(lcm.DivideBy(other.GetLeadingTerm()));
otherTerm.MultiplyScalar(1 / other.GetLeadingCoefficient());
thisTerm.Add(otherTerm, -1);
return(thisTerm);
}