/// <summary>
/// Determines whether the polynomial is equal.
/// </summary>
/// <param name="polynomial"></param>
/// <returns>bool</returns>
public bool Equal(PolynomialRoots polynomial)
{
int count = this.RootAndExponents.Count;
return((count == polynomial.RootAndExponents.Count) &&
(this.RootAndExponents.Count(pair => polynomial.RootAndExponents.Contains(pair)) == count));
}
/// <summary>
/// Gets the polynomial defined by its roots
/// </summary>
/// <returns>
/// PolynomialRoots
/// </returns>
public PolynomialRoots GetRootsPolynomial()
{
var polynomialRoots = new PolynomialRoots();
var polynomicEquation = new PolynomicEquation(this);
foreach (double root in polynomicEquation.GetSolutions())
{
polynomialRoots.InsertRoot(root);
}
return(polynomialRoots);
}
/// <summary>
/// Determines whether the polynomal is equal to the one represent by its roots.
/// </summary>
/// <param name="polynomial"></param>
/// <returns>bool</returns>
public bool Equals(PolynomialRoots polynomial)
{
return(this.Equals(polynomial.GetExplicitPolynomial()));
}
/// <summary>
/// Initializes a new instance of the <see cref="PolynomicEquation"/> class.
/// </summary>
/// <param name="polynomial"></param>
public PolynomicEquation(PolynomialRoots polynomial)
: this(polynomial.GetExplicitPolynomial())
{
}