public BinaryTree CreateMcLaurinAn(string value, int n)
{
root = null;
Node root1 = this.CreateBinaryTree(root, ref value);
digits d = new digits(root1.Calculations(0).ToString());
_ fac = new _(new digits("0"));
digits d1 = new digits(fac.Calculations(0).ToString());
division div = new division(d, d1);
power pow = new power(new variables("x"), new digits("0"));
multi m = new multi(div, pow);
root = m;
for (int i = 1; i <= n; i++)
{
root1 = root1.Derivative();
digits dd = new digits(root1.Calculations(0).ToString());
_ fac1 = new _(new digits($"{i}"));
digits dd1 = new digits(fac1.Calculations(0).ToString());
division div1 = new division(dd, dd1);
power pow1 = new power(new variables("x"), new digits($"{i}"));
multi m1 = new multi(div1, pow1);
plus p = new plus(root, m1);
root = p;
}
return(this);
}
public override Node Derivative()
{
multi f1 = new multi(this.leftChild.Derivative(), this.rightChild);
multi f2 = new multi(this.leftChild, this.rightChild.Derivative());
minus m = new minus(f1, f2);
power p = new power(this.rightChild, new digits("2"));
division d = new division(m, p);
return(d);
}
public override Node Derivative()
{
if (this.leftChild is digits)
{
digits d = new digits("0");
return(d);
}
division d1 = new division(new digits("1"), this.leftChild);
multi m = new multi(d1, this.leftChild.Derivative());
return(m);
}
public BinaryTree CreateMcLaurinPlotN(string v, int n)
{
double[] functions = new double[n + 1];
int power = 0;
root = null;
Node root1 = this.CreateBinaryTree(root, ref v);
while (power <= n)
{
double result = 0;
int[] coef = this.coef(power);
int powerindex = power;
for (int i = 0; i <= power; i++)
{
result = result + coef[i] * root1.Calculations(powerindex * this.almostzero);
powerindex--;
}
if (power == 0)
{
functions[power] = result;
digits d = new digits(result.ToString());
_ fac = new _(new digits("0"));
digits d1 = new digits(fac.Calculations(0).ToString());
division div = new division(d, d1);
power pow = new power(new variables("x"), new digits("0"));
multi m = new multi(div, pow);
root = m;
}
else
{
functions[power] = result / Math.Pow(this.almostzero, power);
digits dd = new digits(Math.Round(functions[power], 2).ToString());
_ fac1 = new _(new digits($"{power}"));
digits dd1 = new digits(fac1.Calculations(0).ToString());
division div1 = new division(dd, dd1);
power pow1 = new power(new variables("x"), new digits($"{power}"));
multi m1 = new multi(div1, pow1);
plus p = new plus(root, m1);
root = p;
}
power++;
}
//double d = root.Calculations(x + this.almostzero);
//double d1 = root.Calculations(x);
//double d2 = (d - d1);
//double d3 = d2 / this.almostzero;
return(this);
}