/// <summary>
/// Operator to multiply a polynomial per an monomial.
/// </summary>
/// <param name="polynomial">
/// The polynomial.
/// </param>
/// <param name="monomial">
/// The monomial.
/// </param>
/// <returns>
/// Polynomial
/// </returns>
public static Polynomial operator *(Polynomial polynomial, Monomial monomial)
{
Polynomial p = polynomial.Clone();
if (monomial.Coefficient.Equals(0))
{
p.Monomials.Clear();
p.Coefficient = 0;
}
else
{
var arrayController = ArrayController.GetInstance();
Dictionary <string, Monomial> monomialCollection = arrayController.CloneDictionary(p.Monomials);
foreach (var monomialInCollection in monomialCollection.Values)
{
string oldKey = monomialInCollection.VariablesToString();
monomialInCollection.Multiply(monomial);
string key = monomialInCollection.VariablesToString();
if (!p.Monomials.ContainsKey(key))
{
p.Monomials.Add(key, monomialInCollection);
}
else
{
p.Monomials[key] = monomialInCollection;
}
p.Monomials.Remove(oldKey);
}
if (!p.Coefficient.Equals(0))
{
Monomial maux = monomial.Clone();
maux.Multiply(p.Coefficient);
string key = monomial.VariablesToString();
if (!p.Monomials.ContainsKey(key))
{
p.Monomials.Add(key, maux);
}
else
{
p.Monomials[key] = maux;
}
}
p.Coefficient = 0;
}
return(p);
}
/// <summary>
/// Gets the mcm of the denominators's fractions
/// </summary>
/// <param name="af1"></param>
/// <returns></returns>
private Polynomial GetMcm(AlgebraicFraction af1)
{
// Calculate the mcm of the denominators obtaining a new denominator
Polynomial oldDenominator = af1.Denominator;
var arrayController = ArrayController.GetInstance();
af1.Denominator = arrayController.GetMcm(
new[]
{
af1.Denominator,
this.Denominator
}
).GetExplicitPolynomial();
return(oldDenominator);
}
/// <summary>
/// Gets the opposite or the minus monomial.
/// </summary>
/// <returns>
/// The <see cref="Monomial"/>.
/// </returns>
public Monomial ReverseOf()
{
var arrayController = ArrayController.GetInstance();
return(new Monomial(-this.Coefficient, arrayController.CloneDictionary(this.Variables)));
}
/// <summary>
/// Gets a clone of the polynomial
/// </summary>
/// <returns></returns>
public Polynomial Clone()
{
var arrayController = ArrayController.GetInstance();
return(new Polynomial(this.Coefficient, arrayController.CloneDictionary(this.Monomials).Values.ToArray()));
}