How to know the benefits of easily Easy Learning circle Drawing algorithem using DDA Algorithm

How to know the benefits of easily Easy Learning  circle Drawing using Bresenbarri's circle Algorithm 

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Circle Drawingn using Bresenbarri's circle Algorithm 

Aim:
To draw a circle using  Bresenham's circle drawing algorithm in C.

Algorithm:

1. start the program 
2.Get the radius and center of the circle r, xc,yc.
3. Obtain the first point on the circumference of a circle centerred on the origin as (x0 y0)= (o,r)
4. calculate the initial value of the parameter P=5/4-r 
5.At each xk position, starting at k=0, perform the following test if (Pk<0), the next (0,0) is (Xk+1,Yk+1) and (Pk+1, Yk-1)  and Pk+2Xk+1-2Yk+1 where 2k+1 = 2Xk+2 and 2Yk-2.
determiner the symmetry points in other seven actol .
7.move each calculated pixel position (X,Y) onto the circular path centred on (xc,yc) and plot the coordinates value x = x+xc and y=y+yc 
8.Repeat the steps 5 to 7 until x7=y .
9. Stop the program

Program:

#include <stdio.h>
#include<conio.h>
#include<graphics.h>
float xc, yc, r,x,y,p;
void plotpoint ();
void main()
{
int gd =DETECT,gm;
initgraph(&gd,&gm,"");
printf("Enter the xc value:");
scanf("%f",& xc);
printf("Enter the yc value :");
scanf("%f",&yc);
printf("Enter the radius :");
scanf("%f",&r);
x=0; y=r;
plotpoint();
p=1-r;
while (x<y)
{
if (p<0)
x++;
else
{
x++; 
y--:
}
if (p<0) 
p=p+2*(x+1);
else 
p=p+2*(x-y)+1;
plotpoint();
}
getch();
closegraph();
}
void plotpoint()
{
putpixel(xc+x,yc+y,1);
 putpixel(xc+x,yc+y,1);
putpixel(xc+x,yc+y,1);
putpixel(xc+x,yc+y,1);
putpixel(xc+x,yc+x,1);
putpixel(xc+x,yc+x,1);
putpixel(xc+x,yc+x,1);
putpixel(xc+x,yc+x,1);
}

Ouput:

Enter the xa value : 200
Enter the ya value : 200
Enter the radius :  50




 Ellipse Drawing Algorithm 

Aim: 

To write program in C to draw eclipse using midpoint eclipse drawing algorithm.

Algorithm : 

1. Start the program 
2.Get the radius rx, ry, and center of the eclipse 
3. Obtain the first point on the eclipse centered on the origin as (x0 y0) = (0,ry) 
4.Calculate the initial value of the decision parameter in regional as p10 = ry2 - rx2 ry+1 / 4rx2
5. At each xk position in region 1, starting at k=0 perform the following test if (p1k<0) the next point along the eclipse centered on (0,0) to (xk+1,yk) and p1k+1= P1k+2y2 +ry2 otherwise the next point along the eclipse is (rk+1, y+1) and p1+1= p1k+2ry2xk+1+ ry2   2ry2xk+1=2ry2xk+2ry2 and 2rx2yk+1=2rx2yk-2rx2.
6. Calculate the value of the decision parameter in region 2 using the point (x0,y0) as p20=ry2 (x0+y2)2+ ry2(y0-1)2-rx2+y2.
7. At each yk position in region 2, starting at k=0 perform along following test if (p2k>0), the next point along the eclipse centered (0,0) is (xk,yk+1) and p2k+1=p2k-2rx2yk+1+rx2 otherwise the next point along eclipse is (xk+1,yk+1) and p2k+1 = p2k+2ry2xk+1+rx2-2rx2yk+1 
8.Determine the symmetry points in order three qradrants 
9. move each calculated pixel position (x,y) on (xc,yc) and point the coordinate values x=x+xc and y=y+yc.
10. Repeat the steps for region 1 until 2ry2xy2rx2y 
11. stop the program.

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Elllipse Drawing Algorithm

Program:

#include<stdio.h>

#include<conio.h>

#include<graphics.h>

#define round(a) (int)(a+0.5)

Float xc,yc,x,y;

Void main()

{

Int gd =DETECT.gm;

Float rx,ry,p,px,py,rx2,rx2,tworx2,twory2;

Initgraph(&gd,&gm,””);

Clscr();

Printf(“Enter the xc  value:”);

Scanf(“%f”, &xc  value:”);

Printf(“Enter the yc value:”);

Scanf(“%f”,&yc);

Printf(“Enter the x radius:”);

Scanf(“%f’,&ry);

Printf(“Enter the y radius:”);

Scanf(“%f”,&ry);

Ry2 =ry*ry;

Rx2=rx*rx;

Twory2=2*ry2;

Twory2=2*rx2;

X=0;

Y=ry;

Plotpoint();

P=round(ry2-rx2*ry+(0.25*rx2));

Px=0;

Py=tworx2*y;

While(px<py)

{

X=x+1;

Px=px+twory2;

If(p>=0)

{

Y=y-1;

Py=py-tworx2;

}

If(p<0)

P=p+ry2+px;

else

P=p+ry2+px-py;

Plotpoint();

}

P=round(ry2 *(x+0.5)*(x+0.5)+rx2*(y-1)*(y-1)-rx2*ry2);

While(y>0)

{

Y=y-1;

Py=py-tworx2;

If(p<=0)

{

X=x+1;

Px=px+twory2;

}

If(p>0)

P=p+rx2-py;

Else

P=p+rx2-py+px;

Plotpoint();

}

Getch();

Closegraph();

}

Gerch();

Closegraph();

}

Void plotpoint()

{

Putpixel(xc+x,yc+y,1);

Putpixel(xc-x,yc+y,1);

Putpixel(xc+x,yc-y,1);

Putpixel(xc-x,yc-y,1);

}


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