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What is Basic 2D transformations C Language programming and why is it important?
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Basic 2D transformations C Language programming and Reminders:
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Aim:
To write a program to perform the Basic 2D transformations C Language programming like translation rotation and scaling using transformation equation in C.
Algorithm:
1.start the program
2. obtion the coordinates of the line xa,ya,xb,yb
3.Get the translation factors tx,ty, rotation angle a and scalling factors sx,sy.
4. find the translation coordinates by applaying the angle as x’=x+y and y’=y+ty
5.Get the rotation coordinates by applaying the angle as x=abs(xa-yb) cos a-abs(ya-yb) sin a y’=abs(xa-xb)sina +abs(ya-yb) cos a
6.scalling is applied as
X’= x*sx
Y’=y*sy
7.Draw the transformed line with the new coordinates (x’,y’)
8.stop the program
Basic 2D transformation
Program:
#include <stdio.h>
#include<conio.h>
#include <graphics.h>
#include<math.h>
void getdata();
Int x1,y1,z1,x2,y2;
Void main()
{
Int gd=DETECT,gm;
Int x3,x4,y3,y4,tx,ty,ch;
Float sx,sy,a,t;
Initgraph(gd,&gm,””);
clrscr();
setcolor(1);
do
{
Printf(“1.Translation\t2.scaling\t3.Roatation\t4.Exit\nEnter your choice:”);
scanf(“%d”,&ch);
switch(ch)
{
case 1:
getdata();
printf(“enter the translation factor in x-axis:”);
scanf(“%d”,&tx);
printf(“enter the transalation factor in y-axis:”);
scanf(“%d”,&ty);
x3=x1+tx;
x4=x2+tx;
y3=y1+ty;
y4=y2+ty;
line(x3,y3,x4,y4);
getch();
cleardevice();
break;
case 2;
getdata();
printf(“Enter the scaling factor in x-axis:”);
scanf(“%f’,&sx);
printf(“Enter the scaling factor in y-axis:”);
scanf(“%f’,&sy);
x3=x1*sx;
x4=x2*sx;
y3=y1*sy;
y4=y2*sy;
line(x3,y3,x4,y4);
getch();
cleardevice();
break;
case 3:
getdata();
printf(“Enter the rotation angle:”);
scanf(“%f”,&a);
t=a*(3.14159/180);
x4=x1+abs(x2-x1)*cos(t)-abs(y2-y1)*sin(t);
scanf(“%f”,&a);
t=a*(3.14159/180);
x4=x1+abs(x2-x1)*cos(t)-abs(y2-y1)*sin(t);
y4=y1+abs(x2-x1)*sin(t)+abs(y2-y1)*cos(t);
line(x1,y1,x4,y4);
getch();
cleardevice();
break;
case 4;
exit(0);
breakl;
}
}
while(ch<4);
getch();
closegraph();
}
void getdata()
{
cleardevice();
printf(“Enter the x1 value:”);
scanf(“%d”,&x1);
printf(“Enter the y1 value:”);
scanf(“%D”,&Y1);
Printf(“Enter the x2 value:”);
scanf(“%d”,&x2);
Printf(“Enter the y2 value:”);
scanf(“%d”,&y2);
line(x1,y1,x2,y2);
}
Output:
1. Translation 2.scaling 3.Rotation 4.Exit
Enter the choice: 1
Enter the x1 value:100
Enter the y1 value:100
Enter the x2 value: 200
Enter the y2 value:200
Enter the translation factor in x-axis : 25 25
Enter the tranlation factor in y-axis:0 0
01.Rranslation 2.Scaling 3.Rotation 4.Exit
Enter the choice: 2
Enter the x1 value:100
Enter the y1 value:100
Enter the x2 value:200
Enter the y2 value:200
Enter the scaling factor in x-axis:1
Enter the scaling factor in y-sxis:2
1.Translation 2.Scaling 3.Rotation 4.Exit
Enter the choice:3
Enter the x1 value:100
Enter the y1 value:100
Enter the x2 value:200
Enter the y2 value:200
Enter the rotation angle:45
2D Transformation (Reflection And Shearing)
Program:
#include<stdio.h>
#iclude<conio.h>
#include<graphics.h>
Void reflection();
Void shearing();
Void main();
{
Int gd =DETECT, gm,ch;
Initgraph(&gd,&gm,””);
do
{
cleardevice();
Printf(“1.Reflection\t2.Shearing\t3.Exit\nEnter your choice:”);
scanf(“%d”,&ch);
swirch(ch)
{
case 1:
cleardevice();
reflection();
break;
case 2;
cleardevice();
shearing();
break;
case 3;
exit(0);
break;
}
}
While(Ch<3);
Gerch();
Closegraph();
}
Void Reflection()
{
int xa,ya,yb,xc,yc,x1,y1,x2,y2,x3,y3,ch;
printf(“enter the xa&ya value:”);
scanf(‘’%d\n%d”,&xa,&ya);
printf(“enter the xb&yb value:”);
scanf(“%d\n%d”,&xb,&yb);
printf(“enter the xc&yc value:”);
scanf(“%d\n%d”,&xc,&yc);
line(xa,ya,xb,yb);
line(xb,yb,xc,yc);
line(xc,yc,xa,ya);
do
{
printf(“1.about x-axis\t2.about y-axis\t3.about/t4.ecxit\nenter the choice:”);
scanf(“%d”,&ch);
switch (ch)
{
case 1:
cleardevice();
line(xa,ya,xb,yb);
line(xb,yb,xc,yc);
line(xc,yc,xa,ya);
y1=ya+2*(gatmaxy()\2-ya);
y2=yb+2*(gatmaxy()\2-yb);
y3=yc+2*(gatmaxy()\2-yc);
line(xa,y1,xb,y2);
line(xb,y2,xc,y3);
line(xc,y3,xa,y1);
break;
case 2:
cleardevice();
line(xa,ya,xb,yb);
line(xb,yb,xc,yc);
line(xc,yc,xa,ya);
case 3:
cleardevice();
line(xa,ya,xb,yb);
line(xb,yb,xc,yc);
line(xc,yc,xc,yc);
x1=xa+2*(getmaxy()/2-xa);
x2=xb+2*(getmaxy()/2-xb);
x3=xc+2*(getmaxy()/2-xc);
y1=ya+2*(getmaxy()/2-ya);
y2=yb+2*(getmaxy()/2-yb);
y3=yc+2*(getmaxy()/2-yc);
line(x1,y2,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
break;
case 4;
break;
}
}
while(ch<4);
}
void shearing()
{
Float xa,xb,xc,ya,yb,yc,yd,xe,xf,ye,yf,shx,shy;
Int ch;
void rect();
printf(“enter the xa&ya value:”);
scanf(“%f\n%f”,&xa,&ya);
printf(“enter the xb&yb value:”);
scanf(“%f\n%f”,&xb,&yb);
printf(“enter the xc&yc values:”);
scanf(“%f\n%f”,&yc);
printf(“enter the xd&yd value:”);
scanf(“%f\n%f”,&xd, &yd);
do
{
printf(“1.about x-axis\t2.about y-axis\t3.about both\t4.exit\nenter the choice:”);
scanf(“%d”,&ch);
switch(ch)
{
case 1:
cleardevice();
line(xa,ya,xb,yb);
line(xb,yb,xc,yc);
line(xd,yd,xa,ya);
printf(“enter the shearing factor for x:”);
scanf(“%f”,&shx);
xe=xc+shx;
xf=xd+shx;
line(xa,ya,xb,yb);
line(xb,yb,xe,yc);
line(xe,yc,xf,yd);
line(xf,yd,xa,ya);
break;
case 2:
cleardevice();
printf(“enter the shearing factor for y:”);
scanf(“%f”,­);
ye=yb+shy;
yf=yc+shy;
line(xa,ya,xb,ye);
line(xb,ye,xc,yf);
line(xc,yf,xd,yd);
line(xd,yd,xa,ya);
break;
case 3:
cleardevice();
printf(“Enter the shearing factor for x:”);
Scanf(“%f”,&shx);
printf(“enter the shearing factor for y:”);
scanf(“%f’,­);
xe=xc+shx;
Xf=xd+shx;
ye=yb+shy;
ye=yb+shy;
yf=yc+shy;
line(xa,ya,xb,ye);
line(xb,ye,xe,yf);
line(xe,yf, xf,yd);
line(xf,yd,xa,ya);
break;
case 4:
break;
}
}
while(ch<4);
cleardevice();
}
Output :
1.Reflection 2.Shearing 3.Exit
Enter the choice:1
Enter the xa&ya value: 200 100
Enter the xb&yb value:200 200
Enter the xc&yc value:100 200
1.About x-axis 2.About y-axis 3.About both 4.Exit
Enter the choice:1
1.About x-axis 2.About y-axis 3.About both 4.Exit
1.About x-axis 2.About y-axis 3.About both 4.Exit
1.About x-axis 2.About y-axis 3.About both 4.Exit
Enter the choice:4
1.Reflection 2.Shearing 3.Exit
Enter the xa&ya value: 200 200
Enter the xb&yb value:300 200
Enter the xc&yc value:300 300
Enter the xd&yd value:200 300
1.About x-axis 2.About y-axis 3.About both 4.Exit
Enter the choice: 1
Enter the shearing factor for x:50
1.About x-axis 2.About y
Enter the choice :2
Enter the shearing factor for y:50
1.About x-axis 2. About y-axis 3.About both 4.Exit
Enter the choice:3
Enter the shearing factor for x:50
Enter the shearing factor for y:50
Enter the choice: 4
Enter the choice: 3
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