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0492073107
Write a program to perform Scaling of a line, a triangle and a rectangle a.) Scaling of a line #include<stdio.h> #include<process.h> #include #include #include
void main() { // request auto detection int gdriver = DETECT, gmode; int pixel[20][20]; int x1,y1,x2,y2;//initial co-ordinates float sx,sy;//scaling factors static float p11[3],p22[3]; clrscr();
cout<<"Enter the coordinates(x1,y1,x2,y2) of the line:\n"; cin>>x1>>y1>>x2>>y2; int p1[3]={x1,y1,1};
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int p2[3]={x2,y2,1}; flushall();
cout<<"Enter the scaling factors:\n"; cin>>sx>>sy; int T[3][3]= { {sx,0,0}, {0,sy,0}, {0,0,1}, }; //scaling being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); // object before scaling line(p1[0],p1[1],p2[0],p2[1]);
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setcolor(5); // object after scaling line(p11[0],p11[1],p22[0],p22[1]); getch(); closegraph();
}
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b.) Scaling of a Triangle
#include #include <stdlib.h> #include <stdio.h> #include #include #include <math.h>
void main() { /* request auto detection */ int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3; float Sx,Sy; static float p11[3],p22[3],p33[3];
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3) of the triangle to be scaled:"; cin>>x1>>y1>>x2>>y2>>x3>>y3; int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1}; flushall(); cout<<"\nplease enter the scaling factors(Sx,Sy):"; cin>>Sx>>Sy;
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float T[3][3]={{Sx,0,0}, {0,Sy,0}, {0,0,1}, }; for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=T[i][j]*p3[j]; } /* initialize graphics and local variables */ initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
line(p1[0],p1[1],p2[0],p2[1]); line(p2[0],p2[1],p3[0],p3[1]); line(p1[0],p1[1],p3[0],p3[1]);
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setcolor(5); line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p33[0],p33[1]);
getch(); closegraph(); }
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Write a program to perform Translation of a line, a point and a rectangle //WRITE A PROGRAM TO DEMONSTRATE TRANSLATION OF OBJECTS(S)
//DATE: #include<process.h> #include #include #include
void main() { // request auto detection int gdriver = DETECT, gmode; int pixel[20][20]; int x1,y1,x2,y2,x3,y3,x4,y4;//initial co-ordinates int tx,ty;//translation factors static int p11[3],p22[3],p33[3],p44[3],p1[3],p2[3],p3[3],p4[3]; int choice,i,j; int T[3][3]= { {1,0,tx}, {0,1,ty}, {0,0,1}, };
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clrscr(); cout<<"--------------------TRANSLATION MENU----------------------\n"; cout<<"1. Point Translation\n"; cout<<"2. Line Translation\n"; cout<<"3. Rectangle Translation\n"; cout<<"4. Exit\n"; cout<<"Enter the choice\n"; cin>>choice; switch(choice) { case 1 : cout<<"Enter the coordinates(x1,y1) of the point:\n"; cin>>x1>>y1; p1[0]=x1; p1[1]=y1; p1[2]=1; cout<<"Enter the translation factors:\n"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } // initialize graphics and local variables
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initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); //object before translation setcolor(6); putpixel(x1,y1,1); setcolor(5); //object after translation putpixel(p11[0],p11[1],1); getch(); closegraph(); break; case 2 : cout<<"Enter the coordinates(x1,y1,x2,y2) of the line:\n"; cin>>x1>>y1>>x2>>y2; p1[0]=x1; p1[1]=y1; p1[2]=1;
p2[0]=x2; p2[1]=y2; p2[2]=1;
cout<<"Enter the translation factors:\n"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++)
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{ p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); // object before translation line(p1[0],p1[1],p2[0],p2[1]); setcolor(5); // object after translation line(p11[0],p11[1],p22[0],p22[1]); getch(); closegraph(); break; case 3 : cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3,x4,y4) of the rectangle to be translated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3>>x4>>y4; //initial co-ordinates matrices p1[0]=x1; p1[1]=y1; p1[2]=1;
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p2[0]=x2; p2[1]=y2; p2[2]=1;
p3[0]=x3; p3[1]=y3; p3[2]=1;
p4[0]=x4; p4[1]=y4; p4[2]=1;
cout<<"\nplease enter the translation factors:"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j];
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} for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=T[i][j]*p3[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p44[i]+=T[i][j]*p4[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
//object before translation line(p1[0],p1[1],p2[0],p2[1]); line(p3[0],p3[1],p2[0],p2[1]); line(p1[0],p1[1],p4[0],p4[1]); line(p3[0],p3[1],p4[0],p4[1]);
setcolor(5); //object after translation line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p44[0],p44[1]);
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line(p33[0],p33[1],p44[0],p44[1]); getch(); closegraph(); break; case 4 : exit(0); default: cout<<"\n Enter a valid choice"; }
getch(); closegraph(); }
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Write a program to implement Bresenham’s line drawing algorithm. //WRITE A PROGRAM TO IMPLEMENT BRESENHAM’S LINE DRAWING ALGO #include<stdio.h> #include<math.h> #include #include #include<stdlib.h> #include<dos.h> void main() { int i,x1,y1,x2,y2,xend; float x,y,dx,dy,p; int gd=DETECT,gm; printf("Enter the first co ordinate of the line : \n"); scanf("%d %d",&x1,&y1); printf("Enter the second co ordinate of the line : \n"); scanf("%d %d",&x2,&y2); clrscr(); initgraph(&gd,&gm,"c:\\tc\\bgi"); setcolor(10); rectangle(0,0,636,476); line(320,0,320,476); line(0,240,636,240); setcolor(5);
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outtextxy(324,244,"(0,0)"); outtextxy(524,244,"x axis-->"); outtextxy(324,42,"y axis"); outtextxy(20,20,"Bres line drawing algorithms (|m|<1)"); outtextxy(20,40,"put 1 divide=20 pixel "); outtextxy(x1+320,240-y1,"(x1,y1)"); outtextxy(x2+320,240-y2,"(x2,y2)"); for(i=0;i<640;i+=20) line(i,236,i,244); for(i=0;i<480;i+=20) line(316,i,324,i); dx=abs(x2-x1); dy=abs(y2-y1); p=2*dy-dx; if(x1>x2) { x=x2; y=y2; xend=x1; } else { x=x1; y=y1; xend=x2;
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} putpixel(x+320,240-y,2); setcolor(4); while(x<xend) { x=x+1; if(p<0) p=p+2*dy; else { y=y+1; p=p+2*(dy-dx); } putpixel(x+320,240-y,2); } getch(); closegraph(); }
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Write a program to implement Bresenham’s circle drawing algorithm. //WRITE A PROGRAM TO DEMONSTRATE BRESENHAM'S CIRCLE ALGORITHM
#include #include #include //function that demonstrates bresenham's circle algorithm void bca_circle(int x,int y,int r) { int pk=3-2*r,xa=0,ya=r;//decision factor,intial x and y //loop runs for only 1 of the 8 equal parts of a circle while(xa<=ya) { putpixel(xa+x,ya+y,5); putpixel(ya+x,xa+y,5); putpixel(-xa+x,ya+y,5); putpixel(-ya+x,xa+y,5); putpixel(xa+x,-ya+y,5); putpixel(-xa+x,-ya+y,5); putpixel(ya+x,-xa+y,5); putpixel(-ya+x,-xa+y,5);
if(pk<0) pk+=4*xa+6;
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else { pk+=4*(xa-ya)+10; ya--; } xa++; }
}
void main() { // request auto detection int gdriver = DETECT, gmode; int x,y,r; cout<<"Enter the centre of the circle(x&y)\n"; cin>>x>>y; cout<<"Enter the radius of the circle r\n"; cin>>r;
// initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
bca_circle(x,y,r);//bresenham's circle
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getch(); closegraph(); }
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Write a program to perform Shearing of a rectangle //WRITE A PROGRAM TO DEMONSTRATE SHEARING OF RECTANGLE //DATE: #include<stdio.h> #include<process.h> #include #include #include
void main() { // request auto detection int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3,x4,y4;//initial co-ordinates float a,b;//translation factors static float p11[3],p22[3],p33[3],p44[3];
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3,x4,y4) of the rectangle to be translated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3>>x4>>y4; //initial co-ordinates matrices int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1};
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int p4[3]={x4,y4,1}; flushall();
cout<<"\nplease enter the shearing factors:"; cin>>a>>b; int T[3][3]= { {1,b,0}, {a,1,0}, {0,0,1}, }; //shearing being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) {
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p33[i]+=T[i][j]*p3[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p44[i]+=T[i][j]*p4[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
//object before shearing line(p1[0],p1[1],p2[0],p2[1]); line(p3[0],p3[1],p2[0],p2[1]); line(p1[0],p1[1],p4[0],p4[1]); line(p3[0],p3[1],p4[0],p4[1]);
setcolor(5); //object after shearing line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p44[0],p44[1]); line(p33[0],p33[1],p44[0],p44[1]); getch(); closegraph(); }
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Write a program to perform Rotation of a triangle about origin. //WRITE A PROGRAM TO DEMONSTRATE ROTATION OF OBJECT(S) #include #include <stdio.h> #include #include #include <math.h>
void main() { // request auto detection int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3;//initial co-ordinates int A;//rotation angle static float p11[3],p22[3],p33[3];//final co-ordinates matrices
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3) of the triangle to be rotated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3; //initial co-ordinates matrices int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1}; flushall(); cout<<"\nplease enter the rotation angle(in degrees):";
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cin>>A; //rotation matrix float R[3][3]={{cos(A*3.14/180),-sin(A*3.14/180),0}, {sin(A*3.14/180),cos(A*3.14/180),0}, {0,0,1}, }; //rotation being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=R[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=R[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=R[i][j]*p3[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
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//object before rotation line(p1[0],p1[1],p2[0],p2[1]); line(p2[0],p2[1],p3[0],p3[1]); line(p1[0],p1[1],p3[0],p3[1]);
setcolor(5); //object after rotation line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p33[0],p33[1]);
getch(); closegraph(); }
Write a program to perform Scaling of a line, a triangle and a rectangle a.) Scaling of a line #include<stdio.h> #include<process.h> #include
void main() { // request auto detection int gdriver = DETECT, gmode; int pixel[20][20]; int x1,y1,x2,y2;//initial co-ordinates float sx,sy;//scaling factors static float p11[3],p22[3]; clrscr();
cout<<"Enter the coordinates(x1,y1,x2,y2) of the line:\n"; cin>>x1>>y1>>x2>>y2; int p1[3]={x1,y1,1};
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int p2[3]={x2,y2,1}; flushall();
cout<<"Enter the scaling factors:\n"; cin>>sx>>sy; int T[3][3]= { {sx,0,0}, {0,sy,0}, {0,0,1}, }; //scaling being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); // object before scaling line(p1[0],p1[1],p2[0],p2[1]);
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setcolor(5); // object after scaling line(p11[0],p11[1],p22[0],p22[1]); getch(); closegraph();
}
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b.) Scaling of a Triangle
#include
void main() { /* request auto detection */ int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3; float Sx,Sy; static float p11[3],p22[3],p33[3];
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3) of the triangle to be scaled:"; cin>>x1>>y1>>x2>>y2>>x3>>y3; int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1}; flushall(); cout<<"\nplease enter the scaling factors(Sx,Sy):"; cin>>Sx>>Sy;
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float T[3][3]={{Sx,0,0}, {0,Sy,0}, {0,0,1}, }; for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=T[i][j]*p3[j]; } /* initialize graphics and local variables */ initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
line(p1[0],p1[1],p2[0],p2[1]); line(p2[0],p2[1],p3[0],p3[1]); line(p1[0],p1[1],p3[0],p3[1]);
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setcolor(5); line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p33[0],p33[1]);
getch(); closegraph(); }
0492073107
Write a program to perform Translation of a line, a point and a rectangle //WRITE A PROGRAM TO DEMONSTRATE TRANSLATION OF OBJECTS(S)
//DATE: #include<process.h> #include
void main() { // request auto detection int gdriver = DETECT, gmode; int pixel[20][20]; int x1,y1,x2,y2,x3,y3,x4,y4;//initial co-ordinates int tx,ty;//translation factors static int p11[3],p22[3],p33[3],p44[3],p1[3],p2[3],p3[3],p4[3]; int choice,i,j; int T[3][3]= { {1,0,tx}, {0,1,ty}, {0,0,1}, };
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clrscr(); cout<<"--------------------TRANSLATION MENU----------------------\n"; cout<<"1. Point Translation\n"; cout<<"2. Line Translation\n"; cout<<"3. Rectangle Translation\n"; cout<<"4. Exit\n"; cout<<"Enter the choice\n"; cin>>choice; switch(choice) { case 1 : cout<<"Enter the coordinates(x1,y1) of the point:\n"; cin>>x1>>y1; p1[0]=x1; p1[1]=y1; p1[2]=1; cout<<"Enter the translation factors:\n"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } // initialize graphics and local variables
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initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); //object before translation setcolor(6); putpixel(x1,y1,1); setcolor(5); //object after translation putpixel(p11[0],p11[1],1); getch(); closegraph(); break; case 2 : cout<<"Enter the coordinates(x1,y1,x2,y2) of the line:\n"; cin>>x1>>y1>>x2>>y2; p1[0]=x1; p1[1]=y1; p1[2]=1;
p2[0]=x2; p2[1]=y2; p2[2]=1;
cout<<"Enter the translation factors:\n"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++)
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{ p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi"); // object before translation line(p1[0],p1[1],p2[0],p2[1]); setcolor(5); // object after translation line(p11[0],p11[1],p22[0],p22[1]); getch(); closegraph(); break; case 3 : cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3,x4,y4) of the rectangle to be translated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3>>x4>>y4; //initial co-ordinates matrices p1[0]=x1; p1[1]=y1; p1[2]=1;
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p2[0]=x2; p2[1]=y2; p2[2]=1;
p3[0]=x3; p3[1]=y3; p3[2]=1;
p4[0]=x4; p4[1]=y4; p4[2]=1;
cout<<"\nplease enter the translation factors:"; cin>>tx>>ty; //translation being performed for( i=0;i<3;i++) for( j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j];
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} for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=T[i][j]*p3[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p44[i]+=T[i][j]*p4[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
//object before translation line(p1[0],p1[1],p2[0],p2[1]); line(p3[0],p3[1],p2[0],p2[1]); line(p1[0],p1[1],p4[0],p4[1]); line(p3[0],p3[1],p4[0],p4[1]);
setcolor(5); //object after translation line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p44[0],p44[1]);
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line(p33[0],p33[1],p44[0],p44[1]); getch(); closegraph(); break; case 4 : exit(0); default: cout<<"\n Enter a valid choice"; }
getch(); closegraph(); }
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Write a program to implement Bresenham’s line drawing algorithm. //WRITE A PROGRAM TO IMPLEMENT BRESENHAM’S LINE DRAWING ALGO #include<stdio.h> #include<math.h> #include
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outtextxy(324,244,"(0,0)"); outtextxy(524,244,"x axis-->"); outtextxy(324,42,"y axis"); outtextxy(20,20,"Bres line drawing algorithms (|m|<1)"); outtextxy(20,40,"put 1 divide=20 pixel "); outtextxy(x1+320,240-y1,"(x1,y1)"); outtextxy(x2+320,240-y2,"(x2,y2)"); for(i=0;i<640;i+=20) line(i,236,i,244); for(i=0;i<480;i+=20) line(316,i,324,i); dx=abs(x2-x1); dy=abs(y2-y1); p=2*dy-dx; if(x1>x2) { x=x2; y=y2; xend=x1; } else { x=x1; y=y1; xend=x2;
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} putpixel(x+320,240-y,2); setcolor(4); while(x<xend) { x=x+1; if(p<0) p=p+2*dy; else { y=y+1; p=p+2*(dy-dx); } putpixel(x+320,240-y,2); } getch(); closegraph(); }
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Write a program to implement Bresenham’s circle drawing algorithm. //WRITE A PROGRAM TO DEMONSTRATE BRESENHAM'S CIRCLE ALGORITHM
#include
if(pk<0) pk+=4*xa+6;
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else { pk+=4*(xa-ya)+10; ya--; } xa++; }
}
void main() { // request auto detection int gdriver = DETECT, gmode; int x,y,r; cout<<"Enter the centre of the circle(x&y)\n"; cin>>x>>y; cout<<"Enter the radius of the circle r\n"; cin>>r;
// initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
bca_circle(x,y,r);//bresenham's circle
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getch(); closegraph(); }
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Write a program to perform Shearing of a rectangle //WRITE A PROGRAM TO DEMONSTRATE SHEARING OF RECTANGLE //DATE: #include<stdio.h> #include<process.h> #include
void main() { // request auto detection int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3,x4,y4;//initial co-ordinates float a,b;//translation factors static float p11[3],p22[3],p33[3],p44[3];
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3,x4,y4) of the rectangle to be translated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3>>x4>>y4; //initial co-ordinates matrices int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1};
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int p4[3]={x4,y4,1}; flushall();
cout<<"\nplease enter the shearing factors:"; cin>>a>>b; int T[3][3]= { {1,b,0}, {a,1,0}, {0,0,1}, }; //shearing being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=T[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=T[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) {
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p33[i]+=T[i][j]*p3[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p44[i]+=T[i][j]*p4[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
//object before shearing line(p1[0],p1[1],p2[0],p2[1]); line(p3[0],p3[1],p2[0],p2[1]); line(p1[0],p1[1],p4[0],p4[1]); line(p3[0],p3[1],p4[0],p4[1]);
setcolor(5); //object after shearing line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p44[0],p44[1]); line(p33[0],p33[1],p44[0],p44[1]); getch(); closegraph(); }
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Write a program to perform Rotation of a triangle about origin. //WRITE A PROGRAM TO DEMONSTRATE ROTATION OF OBJECT(S) #include
void main() { // request auto detection int gdriver = DETECT, gmode; int x1,y1,x2,y2,x3,y3;//initial co-ordinates int A;//rotation angle static float p11[3],p22[3],p33[3];//final co-ordinates matrices
cout<<"please enter the co-ordinates(x1,y1,x2,y2,x3,y3) of the triangle to be rotated:"; cin>>x1>>y1>>x2>>y2>>x3>>y3; //initial co-ordinates matrices int p1[3]={x1,y1,1}; int p2[3]={x2,y2,1}; int p3[3]={x3,y3,1}; flushall(); cout<<"\nplease enter the rotation angle(in degrees):";
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cin>>A; //rotation matrix float R[3][3]={{cos(A*3.14/180),-sin(A*3.14/180),0}, {sin(A*3.14/180),cos(A*3.14/180),0}, {0,0,1}, }; //rotation being performed for(int i=0;i<3;i++) for(int j=0;j<3;j++) { p11[i]+=R[i][j]*p1[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p22[i]+=R[i][j]*p2[j]; } for(i=0;i<3;i++) for(j=0;j<3;j++) { p33[i]+=R[i][j]*p3[j]; } // initialize graphics and local variables initgraph(&gdriver, &gmode, "c:\\tc\\bgi");
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//object before rotation line(p1[0],p1[1],p2[0],p2[1]); line(p2[0],p2[1],p3[0],p3[1]); line(p1[0],p1[1],p3[0],p3[1]);
setcolor(5); //object after rotation line(p11[0],p11[1],p22[0],p22[1]); line(p33[0],p33[1],p22[0],p22[1]); line(p11[0],p11[1],p33[0],p33[1]);
getch(); closegraph(); }
