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 two_point_perspective
{
    public partial class Form1 : Form
    {
        Pen pen = new Pen(Color.FromArgb(255, 0, 0, 0), 3);
        Pen pen1 = new Pen(Color.FromArgb(255, 47, 79, 79));
        public Form1()
        {
            InitializeComponent();
        }
        public double[,] mult(double[,] a, double[,] b)
        {
            double[,] c = new double[a.GetLength(0), b.GetLength(1)];
            for (int i = 0; i < a.GetLength(0); ++i)
            {
                for (int j = 0; j < b.GetLength(1); ++j)
                {
                    c[i, j] = 0;
                    for (int k = 0; k < a.GetLength(1); ++k)
                    {
                        c[i, j] = c[i, j] + a[i, k] * b[k, j];
                    }
                }
            }
            return c;
        }

        public double[,] check(double[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
            {
                if (a[i, a.GetLength(1)-1] != 1)
                {
                    for (int j = 0; j < a.GetLength(1); j++)
                    {
                        a[i, j] = a[i, j] / a[i, a.GetLength(1) - 1];
                    }
                }
            }
            return a;
        }

        private void Form1_Paint(object sender, PaintEventArgs e)
        {
            Graphics g = e.Graphics;
            double[,] cube = new double[8, 4] { { 0, 0, 0, 1 }, { 100, 0, 0, 1 }, { 100, 0, 100, 1 }, { 0, 0, 100, 1 }, { 0, 100, 0, 1 }, { 100, 100, 0, 1 }, { 100, 100, 100, 1 }, { 0, 100, 100, 1 } };
            double[,] result = new double[8, 4];
            double[,] t = new double[4, 4] { { 0.707, 0, 0, 0.002828 }, { 0, 1, 0, 0 }, { 0.707, 0, 0, -0.002828 }, { 0, -30, 0, 1 } };
            double[,] tochki_shoda = new double[3, 4];
            double[,] ishodnie_tochki = new double[3, 4] { { 1, 0, 0, 0 }, { 0, 1, 0, 0 }, { 0, 0, 1, 0 } };
            //умножение куба на матрицу преобразований
            result = mult(cube, t);
            //проверка координат последнего столбца на равенство 1 - однородность
            result = check(result);
            //точки схода.
            tochki_shoda = mult(ishodnie_tochki, t);
            //проверка тчек схода
            tochki_shoda = check(tochki_shoda);

            g.TranslateTransform(this.ClientRectangle.Width / 2, this.ClientRectangle.Height / 2); g.DrawLine(pen, new PointF((float)result[0, 0], (float)result[0, 1]), new PointF((float)result[1, 0], (float)result[1, 1]));//ab

            g.DrawLine(pen, new PointF((float)result[1, 0], (float)result[1, 1]), new PointF((float)result[2, 0], (float)result[2, 1]));//bc
            g.DrawLine(pen, new PointF((float)result[2, 0], (float)result[2, 1]), new PointF((float)result[3, 0], (float)result[3, 1]));//cd
            g.DrawLine(pen, new PointF((float)result[3, 0], (float)result[3, 1]), new PointF((float)result[0, 0], (float)result[0, 1]));//da
            g.DrawLine(pen, new PointF((float)result[0, 0], (float)result[0, 1]), new PointF((float)result[4, 0], (float)result[4, 1]));//ah
            g.DrawLine(pen, new PointF((float)result[1, 0], (float)result[1, 1]), new PointF((float)result[5, 0], (float)result[5, 1]));//bg
            g.DrawLine(pen, new PointF((float)result[2, 0], (float)result[2, 1]), new PointF((float)result[6, 0], (float)result[6, 1]));//cf
            g.DrawLine(pen, new PointF((float)result[3, 0], (float)result[3, 1]), new PointF((float)result[7, 0], (float)result[7, 1]));//de
            g.DrawLine(pen, new PointF((float)result[7, 0], (float)result[7, 1]), new PointF((float)result[4, 0], (float)result[4, 1]));//eh
            g.DrawLine(pen, new PointF((float)result[4, 0], (float)result[4, 1]), new PointF((float)result[5, 0], (float)result[5, 1]));//hg
            g.DrawLine(pen, new PointF((float)result[5, 0], (float)result[5, 1]), new PointF((float)result[6, 0], (float)result[6, 1]));//gf
            g.DrawLine(pen, new PointF((float)result[6, 0], (float)result[6, 1]), new PointF((float)result[7, 0], (float)result[7, 1]));//fe

            g.DrawLine(pen1, new PointF((float)result[0, 0], (float)result[0, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//a - x
            g.DrawLine(pen1, new PointF((float)result[0, 0], (float)result[0, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// a -z
            g.DrawLine(pen1, new PointF((float)result[1, 0], (float)result[1, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));// b -x
            g.DrawLine(pen1, new PointF((float)result[1, 0], (float)result[1, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// b -z
            g.DrawLine(pen1, new PointF((float)result[2, 0], (float)result[2, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//c - x
            g.DrawLine(pen1, new PointF((float)result[2, 0], (float)result[2, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// c -z
            g.DrawLine(pen1, new PointF((float)result[3, 0], (float)result[3, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//d - x
            g.DrawLine(pen1, new PointF((float)result[3, 0], (float)result[3, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// d -z
            g.DrawLine(pen1, new PointF((float)result[4, 0], (float)result[4, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//h - x
            g.DrawLine(pen1, new PointF((float)result[4, 0], (float)result[4, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// h -z
            g.DrawLine(pen1, new PointF((float)result[5, 0], (float)result[5, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//g - x
            g.DrawLine(pen1, new PointF((float)result[5, 0], (float)result[5, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// g -z
            g.DrawLine(pen1, new PointF((float)result[6, 0], (float)result[6, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//f - x
            g.DrawLine(pen1, new PointF((float)result[6, 0], (float)result[6, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// f -z
            g.DrawLine(pen1, new PointF((float)result[7, 0], (float)result[7, 1]), new PointF((float)tochki_shoda[0, 0], (float)tochki_shoda[0, 1]));//e - x
            g.DrawLine(pen1, new PointF((float)result[7, 0], (float)result[7, 1]), new PointF((float)tochki_shoda[2, 0], (float)tochki_shoda[2, 1]));// e -z

        }
    }
}