public string MakeNormalForm(Polynomial polynom)
{
string result = "";
for (int i = 0; i < polynom.Order; ++i )
{
if(polynom[i] != 0)
{
int deg = (polynom.Order - i - 1);
//result += string.Format("{0}{1}", ((polynom[i] > 0 && result != string.Empty) ? "+" : "") + polynom[i],
// (deg > 0
// ? ("*x" +
// (deg > 1
// ? ("^" + deg)
// : ""
// ))
// : ""));
/* write coefficient if necessary */
// force plus sign if necessary
// plus sign isn't needed if coefficient is on first place of polynom
if (polynom[i] > 0 && result != string.Empty)
{
result += "+";
}
// no necessary to write coefficient equal to '1' or '-1' behind our x's
// force minus sign if there's coefficient equal to -1
if (Math.Round(polynom[i], 5) == -1 && deg !=0)
{
result += "-";
}
if(Math.Abs(Math.Round(polynom[i],5)) != 1 || deg == 0)
{
result += Math.Round(polynom[i],3);
}
// force '*x' if degree of x is bigger than 0
// force '^degree' if degree is bigger than 1
if(deg > 0)
{
// force * if previous coefficient wasn't equal to '1'
if (Math.Abs(Math.Round(polynom[i], 5)) != 1)
{
result += "*";
}
result += "x";
if(deg > 1)
{
result += "^" + deg;
}
}
}
}
return result;
}
public Polynomial LagrangePolynomial()
{
Polynomial result = new Polynomial(0);
for(int i = 0; i < values.Length; ++i)
{
result = result + values[i]*BasicPolynomial(i);
}
return result;
}
public Polynomial BasicPolynomial(int k)
{
Polynomial result = new Polynomial(1);
for (int i = 0; i < nodes.Length; i++)
{
if (i != k)
{
result *= new Polynomial(1, -nodes[i]) / (nodes[k] - nodes[i]);
}
}
return result;
}
public static Polynomial operator *(double number, Polynomial pFirst)
{
Polynomial result = new Polynomial(pFirst._coefficients);
for (int i = 0; i < result.Order; ++i)
{
result[i] *= number;
}
return result;
}
public static Polynomial operator /(Polynomial pFirst, double number)
{
if(number == 0)
{
throw new DivideByZeroException();
}
Polynomial result = new Polynomial(pFirst._coefficients);
for (int i = 0; i < result.Order; ++i)
{
result[i] /= number;
}
return result;
}