AIM:

         To write a program for ellipse generation.

ALGORITHM:

Step 1: Start.

Step 2: Initialize the graphics header files and functions.

Step 3: Declare the required variables and functions.

Step 4: Get the co-ordinates and radius of the ellipse.

Step 5: Draw the ellipse using the algorithm.

Step 6: Display the output.

Step 7: stop.

PROGRAM CODE:

#include <stdio.h>
#include <conio.h>
#include <math.h>
#include <graphics.h>
void main()
{
    int gd=DETECT,gm;
    int xcenter,ycenter,rx,ry;
    int p,x,y,px,py,rx1,ry1,rx2,ry2;
    initgraph(&gd,&gm,"c:\turboc3\bgi");
    printf("n  Enter The Radius Value:");
    scanf("%d%d",&rx,&ry);
    printf("n  Enter The xcenter and ycenter Values:");
    scanf("%d%d",&xcenter,&ycenter);
    ry1=ry*ry;
    rx1=rx*rx;
    ry2=2*ry1;
    rx2=2*rx1;
    x=0;
    y=ry;
    plotpoints(xcenter,ycenter,x,y);
    p=(ry1-rx1*ry+(0.25*rx1));
    px=0; py=rx2*y;
    while(px<py)
    {
        x=x+1;
        px=px+ry2;
        if(p>=0)
        y=y-1;
        py=py-rx2;
        if(p<0)
        p=p+ry1+px;
        else
        p=p+ry1+px-py;
        plotpoints(xcenter,ycenter,x,y);
        p=(ry1*(x+0.5)*(x+0.5)+rx1*(y-1)*(y-1)-rx1*ry1);
        while(y>0)
        {
            y=y-1;
            py=py-rx2;
            if(p<=0)
            {
                x=x+1;
                px=px+ry2;
            }
            if(p>0)
            p=p+rx1-py;
            else
            p=p+rx1-py+px;
            plotpoints(xcenter,ycenter,x,y);
        }
    }
    getch();
}
int plotpoints(int xcenter,int ycenter,int x,int y)
{
    putpixel(xcenter+x,ycenter+y,6);
    putpixel(xcenter-x,ycenter+y,6);
    putpixel(xcenter+x,ycenter-y,6);
    putpixel(xcenter-x,ycenter-y,6);
}

OUTPUT:

RESULT:

                 Thus the program for ellipse generation is written and executed successfully.