EX.NO:6              2 – DIMENSIONAL TRANSFORMATION

AIM

To perform the various 2-dimensional transformations such as translation,   rotation.

Algorithm

Step 1: Input the figure.

Step 2: Display the menu as 1.Translation  2.Rotation  3.Scaling 4.Shearing 5.reflection 6 ..Exit

Step 3: Get the choice from the user.

Step 4: If the choice is 1 get the translation vector. Add the translation vector to the original coordinate position to move to a new position.

Step 5: If the choice is 2 get the rotation angle. Rotate the figure with respect to the specified angle.

Step  6: If the choice is 3  get the scaling factor. scale the figure with respect to the specified scaling factor.

Step 7: If the choice is 4 get the shearing factor.and shear the e the figure with respect to the specified shearing factor

Step 8: If the choice is 5 get the reflecting  axis. Reflect  the figure with respect to the specified axis.

Step 9:  If choice is  6 exit the program.

PROGRAM

#include<stdio.h>

#include<conio.h>

#include<graphics.h>

#include<dos.h>

#include<math.h>

#include<stdlib.h>

void menu();

void input();

void output();

void translation();

void rotation();

void scaling();

void shearing();

void reflection();

int a[10][2],i,x,option,temp,angle,tx,ty,fx,fy,sh,k,n,axis,y;

float sx,sy;

void menu()

{

printf("menu\n");

printf("1.Translation\n");

printf("2.rotation\n");

printf("3.scaling\n");

printf("4.shearing\n");

printf("5.reflection\n");

printf("6.exit\n");

printf("enter the choice:");

scanf("%d",&option);

switch(option)

{

case  1:

input();

translation();

break;

case 2:

input();

rotation();

break;

case 3:

input();

scaling();

break;

case 4 :

input();

shearing();

break;

case 5:

input();

reflection();

break;

case 6:

exit(0);

break;

}

}

void input()

{

printf("enter the number of vertices:" );

scanf("%d",&n);

for(i=0;i<n;i++)

{

printf("enter the coordinates:");

scanf("%d%d%d%d",&a[i][0],&a[i][1],&a[i+1][0],&a[i+1][1]);

}

}

void output()

{

cleardevice();

for(i=0;i<n;i++)

{

line(a[i][0],a[i][1],a[i+1][0],a[i+1][1]);

}

}

void translation()

{

output();

printf("enter the tranformation vertex tx,ty:\n");

scanf("%d%d",&tx,&ty);

for(i=0;i<=n;i++)

{

a[i][0]=a[i][0]+tx;

a[i][1]=a[i][1]+ty;

}

output();

delay(10);

menu();

}

void rotation()

{

output();

printf("enter the rotating angle:");

scanf("%d",&y);

printf("enter the pivot point:");

scanf("%d%d",&fx,&fy);

k=(y*3.14)/180;

for(i=0;i<=n;i++)

{

a[i][0]=fx+(a[i][0]-fx)*cos(k)-(a[i][1]-fy)*sin(k);

a[i][1]=fy+(a[i][0]-fx)*sin(k)-(a[i][1]-fy)*cos(k);

}

output();

delay(10);

menu();

}

void scaling()

{

output();

printf("enter the scaling factor\n");

scanf("%f%f",&sx,&sy);

printf("enter the fixed point:");

scanf("%d%d",&fx,&fy);

for(i=0;i<=n;i++)

{

a[i][0]=a[i][0]*sx+fy*(1-sx);

a[i][1]=a[i][1]*sy+fy*(1-sy);

}

output();

delay(10);

menu();

}

void shearing()

{

output();

printf("enter the shear value:");

scanf("%d",&sh);

printf("enter the fixed point:");

scanf("%d%d",&fx,&fy);

printf("enter the axis for shearing if x-axis then 1 if y-axis the 0:");

scanf("%d",&axis);

for(i=0;i<=n;i++)

{

if(axis==1)

{

a[i][0]=a[i][0]+sh*(a[i][1]-fy);

}

else

{

a[i][1]=a[i][1]+sh*(a[i][0]-fx);

}

}

output();

delay(10);

menu();

}

void reflection()

{

output();

for(i=0;i<=n;i++)

{

temp=a[i][0];

a[i][0]=a[i][1];

a[i][1]=temp;

}

output();

delay(10);

menu();

}

void main()

{

int gd=DETECT,gm;

initgraph(&gd,&gm,"c:\\tcplus\\bgi");

menu();

getch();

}

OUTPUT

 Menu

 1.             Translation

2.             Rotation

3.             Scaling

4.             Shearing

5.             Reflection

6.             Exit

TRANSLATION

Enter the choice : 1

Enter the number of Vertices: 3

Enter the coordinates :               30           150        10           200

Enter the coordinates :               10           200        60           200

Enter the coordinates :               60           200        30           150

Enter the translation vector Tx, Ty : 90            60

ROTATION

Enter the choice : 2

Enter the number of Vertices: 3

Enter the coordinates :       30           150        10           200

Enter the coordinates :       10           200        60           200

Enter the coordinates :       60           200        30           150

SCALING

Enter the choice : 3

Enter the number of Vertices: 3

Enter the coordinates :       30           150        10           200

Enter the coordinates :       10           200        60           200

REFLECTION

Enter the choice : 5

Enter the number of Vertices: 3

Enter the coordinates :       30           150       10          200

Enter the coordinates :       10           200        60           200

Enter the coordinates :       60           200        30           150]

Result:

Thus the program is executed successfully.