Transformations computer graphics on Geometric Figures using C++ Language

Write a program to Transformations computer graphics using C++ Language like ..

• Rotation
• Shear
• Translation
  

 #include  
 #include  
 #include  
 #include  
 class transformation  
 {  
   int edge,v[50],sx,sy,input[20][3],scale[3][3],result[20][3],clk,midx,midy;  
   float ang,scale1[3][3],result1[20][3];  
   public:  
   void input1()  
   {  
     clrscr();  
     cout<<"\nENTER NO OF EDGES";  
     while(1)  
     {  
       cin>>edge;  
       if(edge<3)  
         cout<<"\nEDGE SHOULD NOT LESS THAN 3";  
       else  
         break;  
     }  
     cout<<"\nENTER VERTICES";  
     int j=0;  
     for(int i=0;i<edge;i++) <br="">     {  
       cout<<"x-cordinate";  
       cin>>v[j];  
       input[i][0]=v[j++];  
       cout<<"y-cordinate";  
       cin>>v[j];  
       input[i][1]=v[j++];  
       input[i][2]=1;  
     }  
   }  
   void display()  
   {  
     clrscr();  
     int j=0;  
     midx=getmaxx()/2;  
     midy=getmaxy()/2;  
     setcolor(WHITE);  
     line(0,midy,2*midx,midy);  
     line(midx,0,midx,2*midy);  
     setcolor(BLUE);  
     for(int i=0;i<edge;i++) <br="">     {  
       if(edge-i!=1)  
         line(v[j]+midx,midy-v[j+1],v[j+2]+midx,midy-v[j+3]);  
       else  
         line(v[j]+midx,midy-v[j+1],v[0]+midx,midy-v[1]);  
       j=j+2;  
     }  
     getch();  
   }  
   void display1()  
   {  
     int j=0;  
     midx=getmaxx()/2;  
     midy=getmaxy()/2;  
     setcolor(WHITE);  
     line(0,midy,2*midx,midy);  
     line(midx,0,midx,2*midy);  
     setcolor(GREEN);  
     for(int i=0;i<edge;i++) <br="">     {  
       if(edge-i!=1)  
         line(result[j][0]+midx,midy-result[j][1],result[j+1][0]+midx,midy-result[j+1][1]);  
       else  
         line(result[j][0]+midx,midy-result[j][1],result[0][0]+midx,midy-result[0][1]);  
       j=j+1;  
     }  
     getch();  
   }  
   void display2()  
   {  
     int j=0;  
     midx=getmaxx()/2;  
     midy=getmaxy()/2;  
     setcolor(WHITE);  
     line(0,midy,2*midx,midy);  
     line(midx,0,midx,2*midy);  
     setcolor(BLUE);  
     for(int i=0;i<edge;i++) <br="">     {  
       if(edge-i!=1)  
         line(result1[j][0]+midx,midy-result1[j][1],result1[j+1][0]+midx,midy-result1[j+1][1]);  
       else  
         line(result1[j][0]+midx,midy-result1[j][1],result1[0][0]+midx,midy-result1[0][1]);  
       j=j+1;  
     }  
     getch();  
   }  
   void refx()  
   {  
     scale[0][0]=1;  
     scale[0][1]=scale[1][0]=0;  
     scale[1][1]=-1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void refy()  
   {  
     scale[0][0]=-1;  
     scale[0][1]=scale[1][0]=0;  
     scale[1][1]=1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void refo()  
   {  
     scale[0][0]=-1;  
     scale[0][1]=scale[1][0]=0;  
     scale[1][1]=-1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void refxy()  
   {  
     scale[0][1]=1;  
     scale[0][0]=scale[1][1]=0;  
     scale[1][0]=1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void refxy1()  
   {  
     scale[0][1]=-1;  
     scale[0][0]=scale[1][1]=0;  
     scale[1][0]=1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void shear()  
   {  
     cout<<"SHEAR X FACTOR";  
     cin>>sx;  
     cout<<"SHEAR Y FACTOR";  
     cin>>sy;  
     scale[0][1]=sy;  
     scale[1][0]=sx;  
     scale[0][0]=scale[1][1]=1;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void scal()  
   {  
     cout<<"SCALE X FACTOR";  
     cin>>sx;  
     cout<<"SCALE Y FACTOR";  
     cin>>sy;  
     scale[0][1]=scale[1][0]=0;  
     scale[0][0]=sx;  
     scale[1][1]=sy;  
     scale[0][2]=scale[1][2]=scale[2][0]=scale[2][1]=0;  
     scale[2][2]=1;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void trans()  
   {  
     cout<<" X FACTOR";  
     cin>>sx;  
     cout<<" Y FACTOR";  
     cin>>sy;  
     scale[0][0]=scale[1][1]=scale[2][2]=1;  
     scale[0][1]=scale[0][2]=scale[1][0]=scale[1][2]=0;  
     scale[2][0]=sx;  
     scale[2][1]=sy;  
     multiply(input,scale,result);  
     display();  
     display1();  
   }  
   void rot()  
   {  
     cout<<"\nENTER THE ANGLE";  
     cin>>ang;  
     cout<<"\nENTER DIRECTION\n1. ANTICLOCKWISE\n2.CLOCKWISE";  
     cin>>clk;  
     scale1[0][0]=scale1[1][1]=cos((ang*3.14)/180);  
     scale1[0][2]=scale1[1][2]=scale1[2][0]=scale1[2][1]=0;  
     scale1[2][2]=1;  
     if(clk==1)  
     {  
       scale1[0][1]=sin((ang*3.14)/180);  
       scale1[1][0]=-sin((ang*3.14)/180);  
     }  
     else  
     {  
       scale1[0][1]=-sin((ang*3.14)/180);  
       scale1[1][0]=sin((ang*3.14)/180);  
     }  
     multiply1(input,scale1,result1);  
     display();  
     display2();  
   }  
   void rot1()  
   {    int x,y;  
     cout<<"\nENTER THE ANGLE";  
     cin>>ang;  
     cout<<"\nenter the x and y coordinates about which to rotate";  
     cin>>x;  
     cin>>y;  
     cout<<"\nENTER DIRECtION\nENTER 1 FOR ANTICLOCKWISE";  
     cin>>clk;  
     scale1[0][0]=scale1[1][1]=cos((ang*3.14)/180);  
     scale1[0][2]=scale1[1][2]=0;  
     scale1[2][0]=((-x)*cos((ang*3.14)/180)+y*sin((ang*3.14)/180)+y);  
     scale1[2][1]=((-x)*sin((ang*3.14)/180)-y*cos((ang*3.14)/180)+y);  
     scale1[2][2]=1;  
     if(clk==1)  
     {  
       scale1[0][1]=sin((ang*3.14)/180);  
       scale1[1][0]=-sin((ang*3.14)/180);  
     }  
     else  
     {  
       scale1[0][1]=-sin((ang*3.14)/180);  
       scale1[1][0]=sin((ang*3.14)/180);  
     }  
     multiply1(input,scale1,result1);  
     display();  
     display2();  
   }  
   void multiply(int input[][3],int b[][3],int result[][3])  
   {  
     int i=0;  
     for(i=0;i<edge;i++) <br="">     {  
       result[i][0]=input[i][0]*b[0][0]+input[i][1]*b[1][0]+input[i][2]*b[2][0];  
       result[i][1]=input[i][0]*b[0][1]+input[i][1]*b[1][1]+input[i][2]*b[2][1];  
       result[i][2]=input[i][0]*b[0][2]+input[i][1]*b[1][2]+input[i][2]*b[2][2];  
     }  
   }  
   void multiply1(int input[][3],float b1[][3],float result1[][3])  
   {  
     int i=0;  
     for(i=0;i<edge;i++) <br="">     {  
       result1[i][0]=input[i][0]*b1[0][0]+input[i][1]*b1[1][0]+input[i][2]*b1[2][0];  
       result1[i][1]=input[i][0]*b1[0][1]+input[i][1]*b1[1][1]+input[i][2]*b1[2][1];  
       result1[i][2]=input[i][0]*b1[0][2]+input[i][1]*b1[1][2]+input[i][2]*b1[2][2];  
     }  
   }  
 };  
 void main()  
 {  
   int gd=DETECT,gm;  
     initgraph(&gd,&gm,"c:\\tc\\bgi");  
   int ch;  
   transformation t;  
   do  
   {  
     clrscr();  
     cout<<"\n main menu";  
     cout<<"\n1.input";  
     cout<<"\n2.display";  
     cout<<"\n3.scaling";  
     cout<<"\n4.translation";  
     cout<<"\n5.rotation";  
     cout<<"\n6.reflection";  
     cout<<"\n7. shear";  
     cout<<"\n8. exit";  
     cout<<"\n enter ur choice";  
     cin>>ch;  
     switch(ch)  
     {  
       case 1:  
         cout<<"\ninput";  
         t.input1();  
         break;  
       case 2:  
         cout<<"\ndisplay";  
         t.display();  
         break;  
       case 3:  
         cout<<"\nscaling";  
         t.scal();  
         break;  
       case 4:  
         cout<<"\ntranslation";  
         t.trans();  
         break;  
       case 5:  
         int ch1;  
         do  
         {  
           clrscr();  
           cout<<"\nrotation\n1.about origin\n2.arbitary point\n3.return";  
           cin>>ch1;  
           switch(ch1)  
           {  
             case 1:  
               cout<<"\nabout origin";  
               t.rot();  
               break;  
             case 2:  
               cout<<"\narbitary point";  
               t.rot1();  
               break;  
             case 3:  
               break;  
           }  
         }while(ch1!=3);  
         break;  
       case 6:  
         do  
         {  
           clrscr();  
           cout<<"\n menu";  
           cout<<"\n1. reflection about x axix";  
           cout<<"\n2. reflection about y axix";  
           cout<<"\n3.reflection about origin";  
           cout<<"\n4.refletion about y=x line";  
           cout<<"\n5.reflection about y=-x line";  
           cout<<"\n6.exit";  
           cout<<"\n enter ur choice";  
           cin>>ch1;  
           switch(ch1)  
           {  
             case 1:  
               cout<<"\nreflection about x axix";  
               t.refx();  
               break;  
             case 2:  
               cout<<"\nreflection about y axix";  
               t.refy();  
               break;  
             case 3:  
               cout<<"\nreflection about origin";  
               t.refo();  
               break;  
             case 4:  
               cout<<"\nrefletion about y=x line";  
               t.refxy();  
               break;  
             case 5:  
               cout<<"\nreflection about y=-x line";  
               t.refxy1();  
               break;  
             case 6:  
               break;  
           }  
         }while(ch1!=6);  
         break;  
        case 7:  
         cout<<"\nshear";  
         t.shear();  
         break;  
        case 8:  
         break;  
     }  
   }while(ch!=8);  
 }