using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace ЧМ_2_4_семестр_на_сишарпе
{
    public partial class Form1 : Form
    {
        public double[,] mass = new double [12,12];
        public Form1()
        {
            InitializeComponent();
        }
        double func(double x)
        {
            return Math.Tan(Math.Pow(x, 3));
        }
        void calc(double a1,double step,double [,] x)
        {    double a=a1;
             int temp=10;
            for (int i = 0; i < 11;i++ )
            {
                x[0, i] = a;
                a += step;
                dataGridView1.Rows[i].Cells[0].Value = Convert.ToString(x[0, i]);
                x[1,i]=func(x[0, i]);
                dataGridView1.Rows[i].Cells[1].Value = Convert.ToString(x[1, i]);
            }
            for (int i = 2; i < 12; i++)
            {

                for (int j = 0; j <temp; j++)
                {
                    x[i, j] = x[i-1,j+1] - x[i-1,j];
                    dataGridView1.Rows[j].Cells[i].Value = Convert.ToString(Math.Round(x[i, j],15));

                }
                temp--;
            }
        }
        double polynom(double[,] x, double xi, double h, bool fl)
        {
            double p = 1;
            double q;
            double y;
            if (fl == true)
            {
                q = (xi - x[0, x.GetLength(0) - 2])/h;
                y = x[1, x.GetLength(0) - 2];
            }
            else
            {
                q = (xi - x[0, 0]) / h;
                y = x[1, 0];
            }
            int j = 3;
            double factorial = 1;
            for(int i = 2; i < 12; i++)
            {
                factorial *= i - 1;
                if (fl == true)
                {
                    p *= q + i - 2;
                    y += (p / factorial) * x[i, x.GetLength(0) - j];
                    j++;
                }
                else
                {
                    p *= q - i + 2;
                    y += (p / factorial) * x[i, 0];
                }
            }
            return y;
        }
        private void Form1_Load(object sender, EventArgs e)
        {
            dataGridView1.RowCount = 11;
            dataGridView1.ColumnCount = 12;
            calc(0, 0.05, mass);
            polynom(mass, -0.0125, 0.05, false);
        }
    }
}