3D ROTATION

3D ROTATION

        AIM:

                        To write a program that implement 3D transformation as rotation

       ALGORITHML:

                               

·         Declare the header file

·         Declare the variables and values

·         Use the graphics function create an image to implement the 3D Rotation

·         Image 3D transformation rotation

·         Print the output of 3D image rotation

CODINGS:

           

#include<stdio.h>

#include<conio.h>

#include<math.h>

#include<graphics.h>

#include<stdlib.h>

int main(void)

{

 int gd=DETECT,gm;

int xmax,ymax,tx,ty,tz,i,n;

int x[20],y[20],z[20],a[20],b[20],ch;

int th,t;

initgraph(&gd,&gm," ");

xmax=getmaxx();

ymax=getmaxy();

line(xmax/2,0,xmax/2,ymax/2);

line(xmax/2,ymax/2,xmax,ymax/2);

line(xmax/2,ymax/2,0,ymax);

printf("Enter the number of sides\n");

scanf("%d",&n);

printf("ROTATION\n");

printf("Enter the co-ordinates:\n");

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

{

                                     scanf("%d%d%d",&x[i],&y[i],&z[i]);

                                     x[i]=x[i]+xmax/2;

                                     y[i]=ymax/2-y[i];

                                     a[i]=x[i]-z[i];

                                     b[i]=y[i]-z[i];

                        }

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

                        {

                                     line(x[i],y[i],x[(i+1)%n],y[(i+1)%n]);

                                     line(x[i]-z[i],y[i]-z[i],x[(i+1)%n]-z[(i+1)%n],y[(i+1)%n]-z[(i+1)%n]);

                                     line(x[i],y[i],x[i]-z[i],y[i]-z[i]);

                        }

                        printf("Enter the th values:\n");

                        scanf("%d",&th);

                        t=th*(3.14/180);

                        cleardevice();

                        line(xmax/2,0,xmax/2,ymax/2);

                        line(xmax/2,ymax/2,xmax,ymax/2);

                        line(xmax/2,ymax/2,0,ymax);

   

for(i=1;i<=n;i++)

                        {

                                    int xx=x[i];

                                    x[i]=x[0]+(x[i]-x[0])*cos(t)-(y[i]-y[0])*sin(t);

                                    y[i]=y[0]+(xx-x[0])*sin(t)+(y[i]-y[0])*cos(t);

                                    xx=a[i];

                                    a[i]=a[0]+(a[i]-a[0])*cos(t)-(b[i]-b[0])*sin(t);

                                    b[i]=b[0]+(xx-a[0])*sin(t)+(b[i]-b[0])*cos(t);

                        }

                       

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

                        {

                                    line(x[i],y[i],x[(i+1)%n],y[(i+1)%n]);

                                    line(a[i],b[i],a[(i+1)%n],b[(i+1)%n]);

                                    line(x[i],y[i],a[i],b[i]);

                         }

                         getch();

                         closegraph();

                         return 0;

            }

OUTPUT:

Enter the no of sides: 2

ROTATION

Enter the co-ordinates:

10

20

30

40

50

60

Enter the th value:60

RESULT:

            Thus, the program has been successfully executed & output is verified.