Projection of a CUBE using OpenGL in C++

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Using OpenGL Library in C++ to projecting the cube. Projection mean show 3D points in 2D plan.




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#include <windows.h>
#include <gl/Gl.h>
#include <gl/glut.h>
#include <cmath> 

int WinWidth = 500, WinHeight = 500;

typedef struct{float x;float y;}Point2D;
typedef struct{float x;float y;float z;}Point3D;

Point3D COP = {0,0,-200}; // Centre Of Projection is at (0,0,-200)

Point3D A,B,C,D,E,F,G,H,I,J; // Vertices of the cube

Point2D Projected_A,Projected_B,Projected_C,Projected_D,Projected_E,Projected_F,Projected_G,Projected_H,Projected_I,Projected_J;

void constructBarn(){
 A.x = 200; A.y = 100; A.z = 200;
 B.x = 200; B.y = 00; B.z = 200;
 C.x = 400; C.y = 00; C.z = 200;
 D.x = 400; D.y = 100; D.z = 200;
 E.x = 300; E.y = 200; E.z = 200;

 F.x = 200; F.y = 100; F.z = 400;
 G.x = 200; G.y = 00; G.z= 400;
 H.x = 400; H.y = 00; H.z = 400;
 I.x = 400; I.y = 100; I.z = 400;
 J.x = 300; J.y = 200; J.z = 400;
}

void DrawBarn(Point2D A, Point2D B, Point2D C, Point2D D, Point2D E, Point2D F, Point2D G, Point2D H, Point2D I, Point2D J){
 glPointSize(1.0);

 glBegin(GL_LINE_LOOP); 
 //DRAWING FRONT FACE
 glVertex2i(A.x, A.y);
 glVertex2i(B.x, B.y);
 glVertex2i(C.x, C.y);
 glVertex2i(D.x, D.y);
 glVertex2i(E.x, E.y);

 glEnd();

 glBegin(GL_LINE_LOOP);
 //DRAWING BACK FACE
 glVertex2i(F.x, F.y);
 glVertex2i(G.x, G.y);
 glVertex2i(H.x, H.y);
 glVertex2i(I.x, I.y);
 glVertex2i(J.x, J.y);

 glEnd();

 glBegin(GL_LINES);

 //DRAWING OTHER LINES
 glVertex2i(A.x, A.y);
 glVertex2i(F.x, F.y);

 glVertex2i(B.x, B.y);
 glVertex2i(G.x, G.y);

 glVertex2i(C.x, C.y);
 glVertex2i(H.x, H.y);

 glVertex2i(D.x, D.y);
 glVertex2i(I.x, I.y);

 glVertex2i(E.x, E.y);
 glVertex2i(J.x, J.y);

 glEnd();

 glFlush();
}


Point2D Project_Perspective(Point3D p, Point3D CoP){
 Point2D p2;
 float d = abs(CoP.z); // The distance between the COP and orign

 p2.x = d*(p.x)/(p.z+d);
 p2.y = d*(p.y)/(p.z+d);

 //.....wite necessary equations here for perspective transformation

 return p2;
}


Point2D translate2D(Point2D p, float tx, float ty){
    Point2D tp2;
 tp2.x = p.x + tx;
 tp2.y = p.y + ty;

 return tp2;
} 

Point3D translate3D(Point3D p, float tx, float ty, float tz){
    Point3D tp3;
 //.....wite the equations for 3D translation
 tp3.x = p.x + tx;
 tp3.y = p.y + ty;
 tp3.z = p.z + tz;
 return tp3;
} 

Point3D scaling3D(Point3D p, float Sx, float Sy, float Sz){
 Point3D tp4;

 tp4.x = p.x*Sx;
 tp4.y = p.y*Sy;
 tp4.z = p.z*Sz;
 return tp4;
}

void resize(float Sx,float Sy,float Sz){
 glClearColor(1.0f, 1.0f, 1.0f, 0.0f); 
 glClear(GL_COLOR_BUFFER_BIT);
 glColor3f(0.0f, 0.0f, 0.0f);

 //scale the point
 A = scaling3D(A,Sx,Sy,Sz);
 B = scaling3D(B,Sx,Sy,Sz);
 C = scaling3D(C,Sx,Sy,Sz);
 D = scaling3D(D,Sx,Sy,Sz);
 E = scaling3D(E,Sx,Sy,Sz);
 F = scaling3D(F,Sx,Sy,Sz);
 G = scaling3D(G,Sx,Sy,Sz);
 H = scaling3D(H,Sx,Sy,Sz);
 I = scaling3D(I,Sx,Sy,Sz);
 J = scaling3D(J,Sx,Sy,Sz);

 //Do projection
 Projected_A = Project_Perspective(A,COP); 
 Projected_B = Project_Perspective(B,COP); 
 Projected_C = Project_Perspective(C,COP); 
 Projected_D = Project_Perspective(D,COP); 
 Projected_E = Project_Perspective(E,COP); 
 Projected_F = Project_Perspective(F,COP); 
 Projected_G = Project_Perspective(G,COP); 
 Projected_H = Project_Perspective(H,COP);
 Projected_I = Project_Perspective(I,COP); 
 Projected_J = Project_Perspective(J,COP);


 DrawBarn(
  // Calculate the following values
  Projected_A,
  Projected_B,
  Projected_C,
  Projected_D,
  Projected_E,
  Projected_F,
  Projected_G,
  Projected_H,
  Projected_I,
  Projected_J
 );

}

void keyboard(unsigned char key, int x, int y)
{
    if (key == 'q' || key == 'Q')
        exit(EXIT_SUCCESS);

 if(key == '+')
  resize(2,2,2);

 if(key == '-')
  resize(0.5,0.5,0.5);

}

void myMouse(int button, int state, int x, int y) {
 if(state == GLUT_DOWN) 
 {
  if(button == GLUT_LEFT_BUTTON) 
  {

  }
  else if (button == GLUT_RIGHT_BUTTON) 
  {

  }
 }
}

void myDisplay()
{
 glClearColor(1.0f, 1.0f, 1.0f, 0.0f); 
 glClear(GL_COLOR_BUFFER_BIT);
 glColor3f(0.0f, 0.0f, 0.0f);

 Projected_A = Project_Perspective(A,COP); 
 Projected_B = Project_Perspective(B,COP); 
 Projected_C = Project_Perspective(C,COP); 
 Projected_D = Project_Perspective(D,COP); 
 Projected_E = Project_Perspective(E,COP); 
 Projected_F = Project_Perspective(F,COP); 
 Projected_G = Project_Perspective(G,COP); 
 Projected_H = Project_Perspective(H,COP);
 Projected_I = Project_Perspective(I,COP); 
 Projected_J = Project_Perspective(J,COP);



 DrawBarn(
  // Calculate the following values
  Projected_A,
  Projected_B,
  Projected_C,
  Projected_D,
  Projected_E,
  Projected_F,
  Projected_G,
  Projected_H,
  Projected_I,
  Projected_J
 );


}


int main( int argc, char ** argv ) {
 glutInit( &argc, argv );
 glutInitWindowPosition( 0, 0 );
 glutInitWindowSize( WinWidth, WinHeight );
 glutCreateWindow( "Projection of a Cube" );

 glMatrixMode( GL_PROJECTION ); 
 glLoadIdentity();
 gluOrtho2D( 0, WinWidth, 0, WinHeight );
 glViewport(0, 0, WinWidth, WinHeight);

 constructBarn();

 glutKeyboardFunc(keyboard); 
 glutMouseFunc( myMouse );
 glutDisplayFunc( myDisplay );
 glutMainLoop();

 return( 0 );
}

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