/// <summary>
/// The method returns product of polynominal addition
/// </summary>
/// <param name="poly">Polynominal coefficients (vector starting with free term)</param>
/// <returns>Polynominal</returns>
public Polynominal Add(Polynominal poly)
{
int M = this.Degree();
int N = poly.Degree();
int K = Math.Max(M, N);
Polynominal Poly1Ext = new Polynominal(K);
Polynominal Poly2Ext = new Polynominal(K);
Polynominal Add = new Polynominal(K);
for (int m = 0; m < M + 1; m++)
{
Poly1Ext.SetElement(m, this.Element(m));
}
for (int n = 0; n < N + 1; n++)
{
Poly2Ext.SetElement(n, poly.Element(n));
}
for (int k = 0; k < K + 1; k++)
{
Add.SetElement(k, Poly1Ext.Element(k) + Poly2Ext.Element(k));
}
return(Add);
}
/// <summary>
/// The method returns product of polynominal multiplication by scalar
/// </summary>
/// <param name="Value">Complex value</param>
/// <returns>Polynominal</returns>
public Polynominal Scale(Complex Value)
{
Polynominal scale = new Polynominal(this.Degree());
for (int i = 0; i < this.Degree() + 1; i++)
{
scale.SetElement(i, this.Element(i) * Value);
}
return(scale);
}
/// <summary>
/// The method calculates polynominal derivative
/// </summary>
/// <returns>Polynominal</returns>
public Polynominal Derivative()
{
int Degree = this.Degree();
int NumCoefs = Degree + 1;
Polynominal Derivative = new Polynominal(this.Degree() - 1);
if (Degree > 0)
{
for (int i = 1; i < NumCoefs; i++)
{
Derivative.SetElement(i - 1, i * this.Element(i));
}
}
else
{
return(new Polynominal(new Double[1] {
0
}));
}
return(Derivative);
}