private PlusSign[] ReturnNewtonIndeterminates(int order)
{
PlusSign[] funcs = new PlusSign[order + 1];
HNode hNode = new HNode();
NaturalNumberNode orderNode;
MultiplicationSign multiplicationSign;
VariableNode variableNode = new VariableNode();
for (int i = 0; i <= order; i++)
{
orderNode = new NaturalNumberNode(order - i);
multiplicationSign = new MultiplicationSign(orderNode, hNode);
funcs[i] = new PlusSign(variableNode, multiplicationSign);
}
return(funcs);
}
public double ReturnNewtonDerivative(double x)
{
HNode hNode = new HNode();
return((Calculate(x + hNode.Calculate(x)) - Calculate(x)) / hNode.Calculate(x));
}
private double CalculatePolynomialDerivative(double x, int order)
{
HNode hNode = new HNode();
return(ReturnNewtonPolynomial(x, order).Calculate(x) / Math.Pow(hNode.Calculate(x), order));
}