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
}
}
}