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 WindowsFormsApp8
{
    public partial class Form1 : Form
    {
        private System.Drawing.Graphics g;
        private System.Drawing.Pen pen1 = new System.Drawing.Pen(Color.Red, 1);


        public Form1()
        {
            InitializeComponent();
            g = pictureBox1.CreateGraphics();
        }

        private void Form1_Load(object sender, EventArgs e)
        {

        }

        private void button1_Click(object sender, EventArgs e)
        {
            g = pictureBox1.CreateGraphics();

            double X1, Y1, X2, Y2, X3, Y3, X4, Y4;
            Double.TryParse(P1X.Text, out X1);
            Double.TryParse(P1Y.Text, out Y1);
            Double.TryParse(P2X.Text, out X2);
            Double.TryParse(P2Y.Text, out Y2);
            Double.TryParse(P3X.Text, out X3);
            Double.TryParse(P3Y.Text, out Y3);
            Double.TryParse(P4X.Text, out X4);
            Double.TryParse(P4Y.Text, out Y4);

            double Xp = X1, Yp = Y1;
            for (double t = 0; t < 1; t += 0.01)
            {
                double x = Math.Pow(1 - t, 3) * X1 + 3 * t * Math.Pow(1 - t, 2) * X2 + 3 * t * t * (1 - t) * X3 + Math.Pow(t, 3) * X4;
                double y = Math.Pow(1 - t, 3) * Y1 + 3 * t * Math.Pow(1 - t, 2) * Y2 + 3 * t * t * (1 - t) * Y3 + Math.Pow(t, 3) * Y4;
                g.DrawLine(pen1, (float)Xp, (float)Yp, (float)x, (float)y);
                Xp = x; Yp = y;
            }



        }

        private void pictureBox1_Click(object sender, EventArgs e)
        {

        }

        private void button2_Click(object sender, EventArgs e)
        {
            double X1, Y1, X2, Y2, X3, Y3, X4, Y4;
            Double.TryParse(P1X.Text, out X1);
            Double.TryParse(P1Y.Text, out Y1);
            Double.TryParse(P2X.Text, out X2);
            Double.TryParse(P2Y.Text, out Y2);
            Double.TryParse(P3X.Text, out X3);
            Double.TryParse(P3Y.Text, out Y3);
            Double.TryParse(P4X.Text, out X4);
            Double.TryParse(P4Y.Text, out Y4);

            double Xp = X1, Yp = Y1;
            for (double t = 0; t < 1; t += 0.01)
            {
                double x = (2 * t * t * t - 3 * t * t + 1) * X1 + (-2 * t * t * t + 3 * t * t) * X4 + (t * t * t - 2 * t * t + t) * X2 + (t * t * t - t * t) * X3;
                double y = (2 * t * t * t - 3 * t * t + 1) * Y1 + (-2 * t * t * t + 3 * t * t) * Y4 + (t * t * t - 2 * t * t + t) * Y2 + (t * t * t - t * t) * Y3;
                g.DrawLine(pen1, (float)Xp, (float)Yp, (float)x, (float)y);
                Xp = x; Yp = y;
            }
        }

        private void button3_Click(object sender, EventArgs e)
        {

            double[,] tab = new double[8, 2];

            tab[0, 0] = 0;
            tab[0, 1] = 0;

            tab[1, 0] = 0;
            tab[1, 1] = 200;

            tab[2, 0] = 100;
            tab[2, 1] = 0;

            tab[3, 0] = 100;
            tab[3, 1] = 200;

            tab[4, 0] = 200;
            tab[4, 1] = 0;

            tab[5, 0] = 200;
            tab[5, 1] = 200;

            tab[6, 0] = 300;
            tab[6, 1] = 0;

            tab[7, 0] = 300;
            tab[7, 1] = 200;



            double xx, yy, x, y;
            int i = 0;
            double t = 0;
            xx = Math.Pow((1 - t), 3) * tab[i, 0] / 6 + (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) * tab[i + 1, 0] / 6 + (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) * tab[i + 2, 0] / 6 + Math.Pow(t, 3) * tab[i + 3, 0] / 6;
            yy = Math.Pow((1 - t), 3) * tab[i, 1] / 6 + (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) * tab[i + 1, 1] / 6 + (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) * tab[i + 2, 1] / 6 + Math.Pow(t, 3) * tab[i + 3, 1] / 6;

            for (i = 1; i < 4; i++)
            {
                for (t = 0.001; t < 1; t = t + 0.001)
                {
                    x = Math.Pow((1 - t), 3) * tab[i, 0] / 6 + (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) * tab[i + 1, 0] / 6 + (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) * tab[i + 2, 0] / 6 + Math.Pow(t, 3) * tab[i + 3, 0] / 6;
                    y = Math.Pow((1 - t), 3) * tab[i, 1] / 6 + (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) * tab[i + 1, 1] / 6 + (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) * tab[i + 2, 1] / 6 + Math.Pow(t, 3) * tab[i + 3, 1] / 6;
                    g.DrawLine(pen1, (float)(xx), (float)(yy), (float)(x), (float)(y));
                    xx = x;
                    yy = y;
                }

            }       }
    }
}