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 lab04grafika
{
    public partial class Form1 : Form
    {
        private System.Drawing.Graphics g;
        private System.Drawing.Pen pen = new System.Drawing.Pen(Color.Blue, 5);
        public Form1()
        {
            InitializeComponent();
            g = pictureBox1.CreateGraphics();
        }

        private void button1_Click(object sender, EventArgs e)
        {
            double x1=100; //x P1
            double x2=100;  //x R1
            double x3=100;  //x R4 
            double x4=300; //x P4
            double y1=100;
            double y2=100;
            double y3=100;
            double y4=100;

            double prevX = x1;
            double prevY = y1;
            g.Clear(Color.White);

            for (double t=0.1;t<1.0;t+=0.1)
            {
                double qX = (2 * Math.Pow(t, 3) - 3 * Math.Pow(t, 2) + 1) * x1 + (-2 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2)) * x4 + (Math.Pow(t, 3) - 2 * Math.Pow(t, 2) + t) * x2 + (Math.Pow(t, 3) - Math.Pow(t, 2)) * x3;
                double qY = (2 * Math.Pow(t, 3) - 3 * Math.Pow(t, 2) + 1) * y1 + (-2 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2)) * y4 + (Math.Pow(t, 3) - 2 * Math.Pow(t, 2) + t) * y2 + (Math.Pow(t, 3) - Math.Pow(t, 2)) * y3;
              
              
                g.DrawLine(pen, (float)prevX, (float)prevY, (float)qX, (float)qY);
                prevX = qX;
                prevY = qY;

            }
        }

        private void button2_Click(object sender, EventArgs e)
        {
            double x1 = 100; //x P1
            double x2 = 200;  //x R1
            double x3 = 300;  //x R4 
            double x4 = 400; //x P4
            double y1 = 200;
            double y2 = 100;
            double y3 = 200;
            double y4 = 100;

            double prevX = x1;
            double prevY = y1;
            g.Clear(Color.White);

            for (double t = 0; t < 1.0; t += 0.1)
            {
                double tempT = (1 - t);
                double qX = (Math.Pow(tempT, 3) * x1) + (Math.Pow(tempT, 2) * 3 * t * x2) + (3 * t * t * tempT * x3) + (Math.Pow(t, 3) * x4);
                double qY = (Math.Pow(tempT, 3) * y1) + (Math.Pow(tempT, 2) * 3 * t * y2) + (3 * t * t * tempT * y3) + (Math.Pow(t, 3) * y4);

                g.DrawLine(pen, (float)prevX, (float)prevY, (float)qX, (float)qY);
                g.FillEllipse(new SolidBrush(Color.Black), (float)prevX-2.5f, (float)prevY-2.5f, 5f, 5f);
                prevX = qX;
                prevY = qY;
            }
        }

        private void button3_Click(object sender, EventArgs e)
        {
            g.Clear(Color.White);
            double[,] tab = new double[,] { { 20, 20 }, { 20, 100 }, { 100, 20 }, { 100, 100 }, { 200, 20 }, { 200, 100 }, { 300, 20 }, { 300, 100 } };

            for (int i = 3; i < tab.GetLength(0); i++)
            {
                double prevX = tab[i - 3, 0] * (1) / 6 + tab[i - 2, 0] * 4 / 6 + tab[i - 1, 0] * (1) / 6;
                double prevY = tab[i - 3, 1] * (1) / 6 + tab[i - 2, 1] * 4 / 6 + tab[i - 1, 1] * (1) / 6;


                for (double t = 0; t < 1.0; t += 0.1)
                {
                    double qX = (tab[i - 3, 0] * Math.Pow((1 - t), 3) / 6) + (tab[i - 2, 0] * (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) / 6) + ((tab[i - 1, 0]) * (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) / 6)+(tab[i,0]*Math.Pow(t,3)/6);
                    double qY = (tab[i - 3, 1] * Math.Pow((1 - t), 3) / 6) + (tab[i - 2, 1] * (3 * Math.Pow(t, 3) - 6 * Math.Pow(t, 2) + 4) / 6) + ((tab[i - 1, 1]) * (-3 * Math.Pow(t, 3) + 3 * Math.Pow(t, 2) + 3 * t + 1) / 6) + (tab[i, 1] * Math.Pow(t, 3) / 6);
                    g.DrawLine(pen, (float)prevX, (float)prevY, (float)qX, (float)qY);
                }
            }
        }
    }
}