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 Krzywe_B
{
    public partial class Form1 : Form
    {
        private System.Drawing.Graphics g;
        private System.Drawing.Pen pen1 = new System.Drawing.Pen(Color.Blue, 2);
        private System.Drawing.Pen pen2 = new System.Drawing.Pen(Color.Red, 2);
        PointF P1 = new PointF();
        PointF P2 = new PointF();
        PointF P3 = new PointF();
        PointF P4 = new PointF();
        PointF P5 = new PointF();
        PointF P6 = new PointF();
        PointF P7 = new PointF();

        PointF[] Points = new PointF[7];


        public Form1()
        {
            InitializeComponent();
            g = pictureBox1.CreateGraphics();
            P1.X = 0;
            P1.Y = 0;
            P2.X = 300;
            P2.Y = 0;
            P3.X = 150;
            P3.Y = 40;
            P4.X = 300;
            P4.Y = 300;
            Points[0] = P1;
            Points[1] = P2;
            Points[2] = P3;
            Points[3] = P4;

        }

        private void Form1_Load(object sender, EventArgs e)
        {

        }

        private void pictureBox1_Click(object sender, EventArgs e)
        {

        }
        private void button1_Click(object sender, EventArgs e)
        {


            double startx = Points[0].X;
            double starty = Points[0].Y;
            double x, y;
            g.DrawBezier(pen2, P1.X, P1.Y, P2.X, P2.Y, P3.X, P3.Y, P4.X, P4.Y);

            for (double t = 0; t < 1; t = t + 0.001)
            {

                x = Math.Pow((1 - t), 3) * Points[0].X + 3 * t * (Math.Pow((1 - t), 2)) * Points[1].X + 3 * t * t * (1 - t) * Points[2].X + t * t * t * Points[3].X;
                y = Math.Pow((1 - t), 3) * Points[0].Y + 3 * t * (Math.Pow((1 - t), 2)) * Points[1].Y + 3 * t * t * (1 - t) * Points[2].Y + t * t * t * Points[3].Y;
                g.DrawLine(pen1, (int)startx, (int)starty, (int)x, (int)y);
                startx = x;
                starty = y;

            }

            for(int i =0; i < Points.Length; i++)
            {
                g.DrawEllipse(pen2, new RectangleF(Points[i].X, Points[i].Y, 3, 3));
            }



        }

        private void button2_Click(object sender, EventArgs e)
        {
            pictureBox1.Refresh();
            P1.X = 0;
            P1.Y = 0;
            P2.X = 200;
            P2.Y = 3;
            P3.X = 10;
            P3.Y = 200;
            P4.X = 300;
            P4.Y = 300;

            double start = P1.X;
            double next = P2.Y;
            double x, y;

            PointF R1 = new PointF();
            PointF R2 = new PointF();
            R1.X = P2.X - P1.X;
            R1.Y = P2.Y - P1.Y;
            R2.X = P4.X - P3.X;
            R2.Y = P4.Y - P3.Y;

            for (double t = 0; t < 1; t = t + 0.001)
            {
                x = (2 * t * t * t - 3 * t * t + 1) * P1.X + (-2 * t * t * t + 3 * t * t) * P4.X + (t * t * t - 2 * t * t + t) * R1.X + (t * t * t - t * t) * R2.X;
                y = (2 * t * t * t - 3 * t * t + 1) * P1.Y + (-2 * t * t * t + 3 * t * t) * P4.Y + (t * t * t - 2 * t * t + t) * R1.Y + (t * t * t - t * t) * R2.Y;
                g.DrawLine(pen1, (int)start, (int)next, (int)x, (int)y);
                start = x;
                next = y;

            }
        }




        private void button3_Click(object sender, EventArgs e)
        {
            PointF P1 = new PointF();
            PointF P2 = new PointF();
            P1.X = 20;
            P1.Y = 30;
            P2.X = 10;
            double Tx = P1.X;
            double Ty = P1.Y;
            double x = 100;
            double y = 120;
            double r = 50;
            double alfa = 0;
            double dalfa = (2 * Math.PI) / 100;
            pictureBox1.Refresh();
            for (int i = 0; i < 1000; i++)
            {
                g.DrawLine(pen1,
                    (int)(r * Math.Cos(alfa + dalfa * i) + (x)),
                    (int)(r * Math.Sin(alfa + dalfa * i) + (y)),
                    (int)(r * Math.Cos(alfa + dalfa * (i + 1)) + (x)),
                    (int)(r * Math.Sin(alfa + dalfa * (i + 1)) + (y))
                    );

                g.DrawLine(pen2,
                    P2.X * (int)(r * Math.Cos(alfa + dalfa * i) + (x - Tx)),
                    P2.X * (int)(r * Math.Sin(alfa + dalfa * i) + (y - Ty)),
                    P2.X * (int)(r * Math.Cos(alfa + dalfa * (i + 1)) + (x - Tx)),
                    P2.X * (int)(r * Math.Sin(alfa + dalfa * (i + 1)) + (y - Ty))
                    );
            }
        }
    }
}