private static void FirstTest()
{
int n = 5;
decimal a = -2;
decimal b = 7;
decimal h = (b - a) / n;
List<decimal> Xs = new List<decimal>();
List<decimal> Ys = new List<decimal>();
for (int i = 0; i < n; ++i)
{
decimal x = a + h * i;
Xs.Add(x);
Ys.Add(UserFunction(x));
}
Console.WriteLine("Points:");
for (int i = 0; i < Xs.Count; ++i)
{
Console.WriteLine(String.Format("For x = {0}, y = {1}", Xs[i].ToString(), Ys[i].ToString()));
}
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
Differentiation differentiation = new Differentiation(Xs, Ys);
List<decimal> coeffsList = differentiation.GetLagrangeFourthPolynomius(Xs, Ys);
Console.WriteLine("Polynomius coeffs:");
foreach (decimal coeff in coeffsList)
{
Console.WriteLine(String.Format("\t{0}", coeff.ToString()));
}
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
List<decimal> firstDerivativeCoeffsList = differentiation.GetFirstDerivativeOfLagrangeFourthPolynomius(Xs, Ys);
Console.WriteLine("Polynomius first derivative coeffs:");
foreach (decimal coeff in firstDerivativeCoeffsList)
{
Console.WriteLine(String.Format("\t{0}", coeff.ToString()));
}
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
List<decimal> secondDerivativeCoeffsList = differentiation.GetSecondDerivativeOfLagrangeFourthPolynomius(Xs, Ys);
Console.WriteLine("Polynomius second derivative coeffs:");
foreach (decimal coeff in secondDerivativeCoeffsList)
{
Console.WriteLine(String.Format("\t{0}", coeff.ToString()));
}
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
foreach (decimal x in Xs)
{
decimal y = differentiation.CalculateLagrangeFourthPolynomius(x, Xs, Ys);
Console.WriteLine(String.Format("For X = {0}, Y = {1}", x.ToString(), y.ToString()));
}
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
/// Hand type
Console.WriteLine("Type x:");
decimal X = Convert.ToDecimal(Console.ReadLine());
decimal Y = differentiation.CalculateLagrangeFourthPolynomius(X, Xs, Ys);
Console.WriteLine(String.Format("For X = {0}, Y = {1}", X.ToString(), Y.ToString()));
decimal DY = differentiation.CalculateFirstDerivativeOfLagrangeFourthPolynomius(X, Xs, Ys);
Console.WriteLine(String.Format("For X = {0}, DY = {1}", X.ToString(), DY.ToString()));
decimal D2Y = differentiation.CalculateSecondDerivativeOfLagrangeFourthPolynomius(X, Xs, Ys);
Console.WriteLine(String.Format("For X = {0}, D2Y = {1}", X.ToString(), D2Y.ToString()));
Console.WriteLine();
Console.WriteLine(".................");
Console.WriteLine();
differentiation.Dispose();
}
