#include <bits/stdc++.h>
#include <GL/freeglut.h>
#include <GL/gl.h>
#include <GL/glu.h>
#include <GL/glut.h>
using namespace std;

float point1;
float point2;
float point3;
float point4;
float point5;
float point6;
float point7;
float point8;

void draw_line(float x1, float y0, float x2, float y2)
{

    float m = (y2 - y0)/(x2 - x1);
    float small = 0.0005,y,x;
    if(abs(m) < 1) {
        for(x = min(x1, x2); x <= max(x1, x2); x += small) {
            y = m*(x - x1) + y0;
            glVertex2f(x, y);
        }
    }
    else {
        for(y = min(y0, y2); y <= max(y0, y2); y += small) {
            x = (y - y0)/m + x1;
            glVertex2f(x, y);
        }
    }

}

void matrix_mul(int a[][20],int n,int m)
{
    int i;
    int j;
    int c[20][20];
    int b[20][20];
    for(i=0;i<n;i++)
    {
        for(j=0;j<m;j++)
        {
            c[i][j]=0;
            for(int k=0;k<m;k++)
            {
                c[i][j]=c[i][j]+a[i][k]*b[k][j];
            }
        }
    }
}
void rotation(float xfirst, float yfirst, float xsecond, float ysecond)
{
	float za, zb;
	float xpoint;
    float ypoint;
	float zpoint;
	float xpoint1;
    float ypoint1;
    float zpoint1;
    float angle;
	angle =  acos(-1)/2 - atan(0.1);

	xpoint = xfirst;
	ypoint = yfirst * cos(angle);
	zpoint = yfirst * sin(angle);
	xpoint1 = xsecond;
	ypoint1 = ysecond * cos(angle);
	zpoint1 = ysecond * sin(angle);

	za = zpoint + sqrt(1.0100);
	zb = zpoint1 + sqrt(1.0100);
	xfirst = (xfirst / za) * 1;
	yfirst = (ypoint / za) * 1;
	xsecond = (xsecond / zb) * 1;
	ysecond = (ypoint1 / zb) * 1;

	cout << xfirst << " " << yfirst  << endl;
	draw_line(xfirst, yfirst, xsecond, ysecond );
}

void project() {
	glClearColor(0, 0, 0, 0);
	glClear(GL_COLOR_BUFFER_BIT);
	glColor3f(1, 1, 1);
	glBegin(GL_POINTS);
	glOrtho(-1.0, 1.0, -1.0, 1.0, -1.0, 1.0);
	rotation(point1, point2, point3, point4);
	rotation(point3, point4, point7, point8);
	rotation(point7, point8, point5, point6);
	rotation(point5, point6, point1, point2);
	rotation(-0.050, 0.0, -0.050,0.500);
	rotation(-0.150,0.0, -0.500,0.400);
	rotation(-0.500,0.400, -0.100,0.700);
	rotation(-0.050, 0.0, -0.400,0.400);
	rotation(-0.400, 0.400 ,-0.100,0.600);
	rotation(0.050, 0.0, 0.050,0.500);
    rotation(0.150,0.0, 0.500,0.400);
    rotation(0.500,0.400, 0.100,0.700);
    rotation(0.050, 0.0, 0.400,0.400);
    rotation(0.400, 0.400 ,0.100,0.600);
    glEnd();
	glFlush();
}

int main(int argc, char ** argv)
{

	point1 =  -0.100;
    point2 = 0.700;
	point3 = -0.100;
	point4 =0.500;
	point5 = 0.100;
    point6 = 0.700;
	point7 = 0.100;
    point8 =0.500;
	glutInit(&argc, argv);
	glutInitDisplayMode(GLUT_SINGLE);
	glutInitWindowSize(500, 500);
	glutInitWindowPosition(50, 50);
	glutCreateWindow("yeah");
	glutDisplayFunc(project);
	glutMainLoop();


	return 0;
}