# include <iostream.h>
 # include <graphics.h>
 # include    <conio.h>
 # include     <math.h>


 void show_screen( );

 void K_curve(longdouble,longdouble,longdouble,longdouble,int);

 void Line(constint,constint,constint,constint);


 int main( )
    {
       int driver=VGA;
       int mode=VGAHI;

       longdouble x=0;
       longdouble y=0;
       longdouble l=0;
       longdouble angle=0;

       int n=0;

       do
      {
         show_screen( );

         gotoxy(8,10);
         cout<<"Starting Point of the Line : (x,y) :";

         gotoxy(8,11);
         cout<<"ÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ";

         gotoxy(12,13);
         cout<<"Enter the value of x = ";
         cin>>x;

         gotoxy(12,14);
         cout<<"Enter the value of y = ";
         cin>>y;

         gotoxy(8,18);
         cout<<"Length of the Line : l : ";
         cin>>l;

         gotoxy(8,20);
         cout<<"Angle of the Line with x-axis : ";
         cin>>angle;

         gotoxy(8,22);
         cout<<"Enter the Order of C-Curve = n = ";
         cin>>n;

         initgraph(&driver,&mode,"..\\Bgi");

         setcolor(15);
           K_curve(x,y,l,angle,n);

         setcolor(15);
           outtextxy(110,460,"Press <Enter> to continue or any other key to exit.");

         int key=int(getch( ));

         if(key!=13)
        break;
      }
       while(1);

       return 0;
    }

 /*************************************************************************///------------------------------  K_curve( )  ---------------------------///*************************************************************************/void K_curve(longdouble x,longdouble y,longdouble length,
                          longdouble angle,int n_order)
    {
       if(n_order>0)
      {
         length/=3;

         K_curve(x,y,length,angle,(n_order-1));

         x+=(length*cosl(angle*(M_PI/180)));
         y+=(length*sinl(angle*(M_PI/180)));

         K_curve(x,y,length,(angle-60),(n_order-1));

         x+=(length*cosl((angle-60)*(M_PI/180)));
         y+=(length*sinl((angle-60)*(M_PI/180)));

         K_curve(x,y,length,(angle+60),(n_order-1));

         x+=(length*cosl((angle+60)*(M_PI/180)));
         y+=(length*sinl((angle+60)*(M_PI/180)));

         K_curve(x,y,length,angle,(n_order-1));
      }

       else
      Line(x,y,(int)(x+length*cosl(angle*(M_PI/180))+0.5),
                    (int)(y+length*sinl(angle*(M_PI/180))));
    }

 /*************************************************************************///-------------------------------  Line( )  -----------------------------///*************************************************************************/void Line(constint x_1,constint y_1,constint x_2,constint y_2)
    {
       int color=getcolor( );

       int x1=x_1;
       int y1=y_1;

       int x2=x_2;
       int y2=y_2;

       if(x_1>x_2)
      {
         x1=x_2;
         y1=y_2;

         x2=x_1;
         y2=y_1;
      }

       int dx=abs(x2-x1);
       int dy=abs(y2-y1);
       int inc_dec=((y2>=y1)?1:-1);

       if(dx>dy)
      {
         int two_dy=(2*dy);
         int two_dy_dx=(2*(dy-dx));
         int p=((2*dy)-dx);

         int x=x1;
         int y=y1;

         putpixel(x,y,color);

         while(x<x2)
        {
           x++;

           if(p<0)
              p+=two_dy;

           else
              {
             y+=inc_dec;
             p+=two_dy_dx;
              }

           putpixel(x,y,color);
        }
      }

       else
      {
         int two_dx=(2*dx);
         int two_dx_dy=(2*(dx-dy));
         int p=((2*dx)-dy);

         int x=x1;
         int y=y1;

         putpixel(x,y,color);

         while(y!=y2)
        {
           y+=inc_dec;

           if(p<0)
              p+=two_dx;

           else
              {
             x++;
             p+=two_dx_dy;
              }

           putpixel(x,y,color);
        }
      }
    }

 /*************************************************************************///--------------------------  show_screen( )  ---------------------------///*************************************************************************/void show_screen( )
    {
       restorecrtmode( );
       textmode(C4350);

       cprintf("\n********************************************************************************");
       cprintf("*********************************-           -**********************************");
       cprintf("*--------------------------------- ");

       textbackground(1);
       cprintf(" K-Curve ");
       textbackground(8);

       cprintf(" ----------------------------------*");
       cprintf("*********************************-           -**********************************");
       cprintf("*-****************************************************************************-*");

       for(int count=0;count<42;count++)
      cprintf("*-*                                                                          *-*");

       gotoxy(1,46);
       cprintf("*-****************************************************************************-*");
       cprintf("*------------------------------------------------------------------------------*");
       cprintf("********************************************************************************");

       gotoxy(1,2);
    }