Translation Perform on 2D Transformations

Algorithm:

/* Translation */
/* Source Code Written By VISHAL NAGDA, IDE DEV-C++ 4.9.9.2 */

Translation's Matrix:
 
 T[3][3] = { {1, 0, tx}, {0, 1, ty}, {0, 0, 1} };

Program:

#include<graphics.h>

int main()
{
    int x=200,y=300,x1=400,y1=400,tx=10,ty=20,ans[3][2],i,j,k;
    int tran[3][3]={{1,0,tx},{0,1,ty},{0,0,1}},rect[3][2]={{x,x1},
       {y,y1},{1,1}};
    initwindow(800,600,"Translation");
    outtextxy(80,60,"Translation");

    rectangle(rect[0][0],rect[1][0],rect[0][1],rect[1][1]);
    getch();
    delay(10000);
    cleardevice();
    
    for(i=0;i<3;i++)
    for(j=0;j<2;j++)
    {
       ans[i][j]=0;
       for(k=0;k<3;k++)
         ans[i][j]+=tran[i][k]*rect[k][j];
    }
    
    rectangle(ans[0][0],ans[1][0],ans[0][1],ans[1][1]);
    
    while(!kbhit());
    return 0;
}

Output: