public override Node ReturnDerivative(double x)
{
if (leftNode is NumberNode)
{
return(new MultiplicationSign(leftNode.Copy(), rightNode.ReturnDerivative(x)));
}
else if (rightNode is NumberNode)
{
return(new MultiplicationSign(rightNode.Copy(), leftNode.ReturnDerivative(x)));
}
else
{
MultiplicationSign multiplicationSignA = new MultiplicationSign(leftNode.ReturnDerivative(x), rightNode.Copy());
MultiplicationSign multiplicationSignB = new MultiplicationSign(leftNode.Copy(), rightNode.ReturnDerivative(x));
PlusSign plusSign = new PlusSign(multiplicationSignA, multiplicationSignB);
return(plusSign);
}
}
private Node ReturnNewtonPolynomial(double x, int order)
{
Operator sign = null;
int[] coefficients = ReturnIndeterminateCoefficients(order);
PlusSign[] indeterminates = ReturnNewtonIndeterminates(order);
if (order == 0)
{
return(new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))));
}
if (order == 1)
{
return(new MinusSign(new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))), new RationalNumberNode(Calculate(indeterminates[1].Calculate(x)))));
}
NaturalNumberNode naturalNumberNode = new NaturalNumberNode(coefficients[0]);
MultiplicationSign multiplicationSign = new MultiplicationSign(naturalNumberNode, new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))));
sign = multiplicationSign;
for (int i = 1; i <= order; i++)
{
naturalNumberNode = new NaturalNumberNode(Math.Abs(coefficients[i]));
multiplicationSign = new MultiplicationSign(naturalNumberNode, new RationalNumberNode(Calculate(indeterminates[i].Calculate(x))));
if (i % 2 == 0)
{
sign = new PlusSign(sign, multiplicationSign);
}
else
{
sign = new MinusSign(sign, multiplicationSign);
}
}
return(sign);
}
