3D Rotation

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Using 3D Rotation to Rotate a cube



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// Code By Nifras Ismail
#include <windows.h>
#include <gl/Gl.h>
#include <gl/glut.h>
#include <cmath> 

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


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

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

GLfloat v_list[8][3];  /* Vertex list - will be filled in with X,Y,Z vertexes. */
GLint f_list[6][4]; /* Face list - for the 6 faces of a cube. */ 

void init(void)
{
 /* Setup the vertex-list and the face-list here*/
 v_list[0][0] = 100;
 v_list[0][1] = 100;
 v_list[0][2] = 100;

 v_list[1][0] = 300;
 v_list[1][1] = 100;
 v_list[1][2] = 100;

 v_list[2][0] = 300;
 v_list[2][1] = 300;
 v_list[2][2] = 100;

 v_list[3][0] = 100;
 v_list[3][1] = 300;
 v_list[3][2] = 100;

 v_list[4][0] = 100;
 v_list[4][1] = 100;
 v_list[4][2] = 300;

 v_list[5][0] = 300;
 v_list[5][1] = 100;
 v_list[5][2] = 300;

 v_list[6][0] = 300;
 v_list[6][1] = 300;
 v_list[6][2] = 300;

 v_list[7][0] = 100;
 v_list[7][1] = 300;
 v_list[7][2] = 300;







}

void rotatebox_x(float deg_x){  // rotate the cube about a line which is parallel to X axis 
 float ang = deg_x * 3.14159265359 / 180.0;  //angle in radians 

 for (int i = 0; i <= 7; i++) {  // do the necessary transformations for each of 8 vertices
  v_list[i][0] = v_list[i][0];
  v_list[i][1] = v_list[i][1]*cos(ang) - v_list[i][2]*sin(ang);
  v_list[i][2] = v_list[i][1]*sin(ang) + v_list[i][2]*cos(ang);
 }
 glutPostRedisplay(); //this will call the function "myDisplay()" again
}

void rotatebox_y(float deg_y){  // rotate the cube about a line which is parallel to Y axis 
 float ang = deg_y * 3.14159265359 / 180.0;

 for (int i = 0; i <= 7; i++) {  // do the necessary transformations for each of 8 vertices
  v_list[i][1] = v_list[i][1];
  v_list[i][0] = v_list[i][0]*cos(ang) - v_list[i][2]*sin(ang);
  v_list[i][2] = (-1)*v_list[i][0]*sin(ang) + v_list[i][2]*cos(ang);
 }
 glutPostRedisplay(); //this will call the function "myDisplay()" again
}

Point2D Project_ortho(float x, float y, float z){ //orthogonal projection
 Point2D p0;
 p0.x = x ;
 p0.y = y ;
 return p0;
}

void drawBox(Point2D A, Point2D B, Point2D C, Point2D D, Point2D E, Point2D F, Point2D G, Point2D H)
{
 // Just project the vertices and draw the box
 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);
 glEnd();

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

 glBegin(GL_LINES);
 //DRAWING OTHER LINES
  glVertex2i(A.x, A.y); glVertex2i(E.x, E.y);

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

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

  glVertex2i(D.x, D.y); glVertex2i(H.x, H.y);
 glEnd();

 glFlush();
}

void draw_Cube(){
 Projected_A = Project_ortho(v_list[0][0],v_list[0][1],v_list[0][1]);
 Projected_B = Project_ortho(v_list[1][0],v_list[1][1],v_list[1][1]);
 Projected_C = Project_ortho(v_list[2][0],v_list[2][1],v_list[2][1]);
 Projected_D = Project_ortho(v_list[3][0],v_list[3][1],v_list[3][1]);
 Projected_E = Project_ortho(v_list[4][0],v_list[4][1],v_list[4][1]);
 Projected_F = Project_ortho(v_list[5][0],v_list[5][1],v_list[5][1]);
 Projected_G = Project_ortho(v_list[6][0],v_list[6][1],v_list[6][1]);
 Projected_H = Project_ortho(v_list[7][0],v_list[7][1],v_list[7][1]);

 drawBox(Projected_A,Projected_B,Projected_C,Projected_D,Projected_E,Projected_F,Projected_G,Projected_H);

}

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


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

void special(int key, int, int) {
 switch (key) {
 case GLUT_KEY_LEFT: rotatebox_y(-1); break; // decreasing the angle by 1 degree
 case GLUT_KEY_RIGHT: rotatebox_y(1);break; // increasing the angle by 1 degree
 case GLUT_KEY_UP: rotatebox_x(-1);break; // decreasing the angle by 1 degree
 case GLUT_KEY_DOWN: rotatebox_x(1);break; // increasing the angle by 1 degree
 default: return;
 }
}

int main( int argc, char ** argv ) {
 glutInit( &argc, argv );
 glutInitWindowPosition( 0, 0 );
 glutInitWindowSize( 800, 600 );
 glutCreateWindow( "3D Transformations" );

 glMatrixMode( GL_PROJECTION ); 
 glLoadIdentity();
 gluOrtho2D( 0, 800, 0, 600 );
 glViewport(0, 0, 800, 600);

 init();

 glutKeyboardFunc(keyboard); 
 glutSpecialFunc(special);
 glutDisplayFunc( myDisplay );
 glutMainLoop();

 return( 0 );
}

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