/// <param name="SamplePoint"> - the desired sampling point. </param>
/// <returns> the result of the polynom when replacing variable ("x") with the sampling point </returns>
public virtual Zp Sample(Zp SamplePoint)
{
if (Coefficients.Count == 0)
{
return(null);
}
/* The initialized sum is 0 */
var Sum = new Zp(CoefficinesFieldSize, 0);
for (int i = 0; i < Coefficients.Count; i++)
{
/* replace each "Ai*x^i" with "Ai*SamplePoint^i" */
var Xi = new Zp(CoefficinesFieldSize,
NumTheoryUtils.ModPow(SamplePoint.Value, i, CoefficinesFieldSize));
var Ai = new Zp(CoefficinesFieldSize, Coefficients[i].Value);
var AiXi = Xi.Mul(Ai);
/* Sum all these values(A0+A1X^1+...AnX^n) */
Sum = Sum.Add(AiXi);
}
return(Sum);
}
public int Determinant()
{
if ((RowCount == 1) && (ColCount == 1))
{
return(data[0][0]);
}
var det = new Zp(Prime, 0);
for (int i = 0; i < ColCount; i++)
{
int SubDet = RemoveRowFromMatrix(0).RemoveColFromMatrix(i).Determinant();
var SubDetAi = new Zp(Prime, SubDet * data[0][i]);
if (i % 2 == 0)
{
det.Add(SubDetAi);
}
else
{
det.Sub(SubDetAi);
}
}
return(det.Value);
}