2D Transformation

1. Simple Translation
```//2D Translation:
#include<graphics.h>
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
void main()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x2,y2,x1,y1,x,y;
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
line(x1,y1,x2,y2);
printf("Enter translation co-ordinates ");
printf("x,y");
scanf("%d%d",&x,&y);
x1=x1+x;
y1=y1+y;
x2=x2+x;
y2=y2+y;
printf("Line after translation");
line(x1,y1,x2,y2);
getch();
closegraph();
}
```
2D Rotation
```2D Rotation:

#include<graphics.h>
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
void main()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x2,y2,x1,y1,x,y,xn,yn;
double r11,r12,r21,r22,th;
clrscr();
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
line(x1,y1,x2,y2);
printf("\n\n\n[ Enter the angle");
scanf("%lf",&th);
r11=cos((th*3.1428)/180);
r12=sin((th*3.1428)/180);
r21=(-sin((th*3.1428)/180));
r22=cos((th*3.1428)/180);
//printf("%lf  %lf  %lf  %lf",r11,r12,r21,r22);
xn=((x2*r11)-(y2*r12));
yn=((x2*r12)+(y2*r11));
line(x1,y1,xn,yn);
getch();
closegraph();
}
```
2D Scaling
```//2D Scaling:

#include<graphics.h>
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
void main()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x3,y3,x2,y2,x1,y1,x,y;
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2,x3,y3");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
cleardevice();
rectangle(x1,y1,x2,y2);
printf("Enter scaling co-ordinates ");
printf("x,y");
scanf("%d%d",&x,&y);
x1=(x1*x);
y1=(y1*y);
x2=(x2*x);
y2=(y2*y);
printf("Line after scaling");

rectangle(x1,y1,x2,y2);
getch();
closegraph();
}
```
2. Scaling, Rotation, Translation
```#include<graphics.h>
#include<conio.h>
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
void rotation()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x2,y2,x1,y1,x,y,xn,yn;
double r11,r12,r21,r22,th;
clrscr();
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
line(x1,y1,x2,y2);
printf("\n\n\n[ Enter the angle");
scanf("%lf",&th);
r11=cos((th*3.1428)/180);
r12=sin((th*3.1428)/180);
r21=(-sin((th*3.1428)/180));
r22=cos((th*3.1428)/180);
//printf("%lf  %lf  %lf  %lf",r11,r12,r21,r22);
xn=((x2*r11)-(y2*r12));
yn=((x2*r12)+(y2*r11));
line(x1,y1,xn,yn);
getch();
closegraph();
}
void scalling()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x2,y2,x1,y1,x,y;
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
line(x1,y1,x2,y2);
printf("Enter scaling co-ordinates ");
printf("x,y");
scanf("%d%d",&x,&y);
x1=(x1*x);
y1=(y1*y);
x2=(x2*x);
y2=(y2*y);
printf("Line after scaling");
line(x1,y1,x2,y2);
getch();
closegraph();
}
void translation()
{
int graphdriver=DETECT,graphmode,errorcode;
int i;
int x2,y2,x1,y1,x,y;
printf("Enter the 2 line end points:");
printf("x1,y1,x2,y2");
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
initgraph(&graphdriver,&graphmode,"c:\\tc\\bgi");
line(x1,y1,x2,y2);
printf("Enter translation co-ordinates ");
printf("x,y");
scanf("%d%d",&x,&y);
x1=x1+x;
y1=y1+y;
x2=x2+x;
y2=y2+y;
printf("Line after translation");
line(x1,y1,x2,y2);
getch();
closegraph();
}

void main()
{
int ch;
scanf("%d",&ch);
do{
switch(ch){
case 1:rotation();
break;
case 2:translation();
break;
case 3:scalling();
break;
case 4:exit(0);
break;
}
}while(ch==4);
}
```
CG - 4 - 2D Transformation-Translation -Scaling-Rotation Reviewed by Huzaif Sayyed on August 18, 2017 Rating: 5