# IMPLEMENTATION OF TWO DIMENSIONAL TRANSFORMATIONS

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PROGRAM NAME:2D Transformation

Program Language:C

Program Software:c or c++ complier

Program Description:

A transformation is any operation on a point in space (x, y) that maps the point's coordinates into a new set of coordinates (x1, y1).The Two Dimensional transformations has five operations such as Translation, Rotation, Reflection, Scaling and Shearing.

Code:
#include<graphics.h>
#include<stdlib.h>
#include<stdio.h>
#include<conio.h>
int x1,x2,x3,y1,y2,y3,t,tx,sx,sy,shx,shy,ch;
float rx1,rx2,rx3,ry1,ry2,ry3;
float ang,theta;
int main(void)
{
int gdriver = DETECT, gmode, errorcode;
initgraph(&gdriver, &gmode,"C:\\TC\\BGI");  /* request for auto detection*/
errorcode = graphresult();
if(errorcode != grOk)  /* if error occours*/
{
printf("Graphics error: %s\n", grapherrormsg(errorcode));
printf("Press any key to halt:");
getch();
exit(1);
}
else
{
do{
printf("\n1.Translation\n2.Reflection\n3.Rotation\n4.Scaling\n5.Shearing\n");
printf("\nEnter Your choice");  /* get the choice from the user*/
scanf("%d",&ch);
switch(ch)
{
case 1:
printf("\n Enter all coordinates values :");  /* get the coordinate values*/
scanf("%d %d %d %d %d %d",&x1,&y1,&x2,&y2,&x3,&y3);
printf("\n Before Translation ");
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
printf("\n Enter the value tranlsation factor :");
scanf("%d",&tx);  /* get the value for the translation factor*/
printf("\n After Translation\n ");
line(x1+tx,y1,x2+tx,y2);  /* draw the new translated image*/
line(x2+tx,y2,x3+tx,y3);
line(x3+tx,y3,x1+tx,y1);
break;
case 2:
printf("\n Enter all coordinates values :");
scanf("%d %d %d %d %d %d",&x1,&y1,&x2,&y2,&x3,&y3);
printf("\n Before Reflection ");  /* draw the image before reflection*/
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
t=abs(y1-y3);  /* find the value of the reflection factor*/
printf("\n After Reflection ");
line(x1,y1+10+(2*t),x2,y2+10);  /* draw the reflected object*/
line(x2,y2+10,x3,y3+10);
line(x3,y3+10,x1,y1+10+(2*t));
break;
case 3:
printf("\n Enter all coordinates values :");
scanf("%d %d %d %d %d %d",&x1,&y1,&x2,&y2,&x3,&y3);
printf("\n Before Rotation "); /* get the original coordinates*/
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
printf("\n Enter the rotation angle :"); /* get the angle for rotation*/
scanf("%f",&ang);
theta=((ang*3.14)/180); /* convert the given angle*/
rx1=x1*cos(theta)-y1*sin(theta);
rx2=x2*cos(theta)-y2*sin(theta);
rx3=x3*cos(theta)-y3*sin(theta);
ry1=x1*sin(theta)+y1*cos(theta);
ry2=x2*sin(theta)+y2*cos(theta);
ry3=x3*sin(theta)+y3*cos(theta);
printf("\n After Rotation "); /* draw the rotated image*/
line(rx1,ry1,rx2,ry2);
line(rx2,ry2,rx3,ry3);
line(rx3,ry3,rx1,ry1);
break;
case 4:
printf("\n Enter all coordinates values :");
scanf("%d %d %d %d %d %d",&x1,&y1,&x2,&y2,&x3,&y3);
printf("\n Before Scaling "); /* get the scale factor*/
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
printf("\n Enter the Scale factor :");
scanf("%d %d",&sx,&sy);
printf("\n After Scaling "); /* draw the object after scaling*/
line(x1+sx,y1+sy,x2+sx,y2+sy);
line(x2+sx,y2+sy,x3+sx,y3+sy);
line(x3+sx,y3+sy,x1+sx,y1+sy);
break;
case 5:
printf("\n Enter all coordinates values :");
scanf("%d %d %d %d %d %d",&x1,&y1,&x2,&y2,&x3,&y3);
printf("\n Before Shearing "); /* get the values for shearing*/
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
printf("\n Enter 0 for x-axis and 1 for y-axis: ");
scanf("%d",&ch);
if(ch==0)
{
printf("\n Enter the x-SHEAR (^.^) Value: ");
scanf("%d",&shx);
x1=x1+shx*y1;
x2=x2+shx*y2;
x3=x3+shx*y3;
}
else
{
printf("\n Enter the y-SHEAR (^.^) Value: ");
scanf("%d",&shy);
y1=y1+shy*x1;
y2=y2+shy*x2;
y3=y3+shy*x3;
}
printf("\n After Shearing ");
line(x1,y1,x2,y2); /* draw the final object after shearing*/
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
break;
default:
exit(0);
break;
}
}
while(ch!=0);
}
getch();
closegraph(); /* close the graph*/
return 0;
}

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IMPLEMENTATION OF TWO DIMENSIONAL TRANSFORMATIONS