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| #include<iostream.h>
#include<conio.h>
#include<graphics.h>
#include<math.h> //for rotate
/* Every Such Program are divided into these parts (Functions):
1. Common Variables = P P2 n T , Tx or Sx or Angle = GLOBAL
2. Input the Required Values = INPUT()
[ Changing from Translation Scaling, etc EDIT only 1, 2 ]
3. Transform = change()
4. Draw the Lines Before and After Transformation = Draw()
5. Matrix Show = ShowM() ShowT()
(IMPORTANT B/C you find your mistakes here.)
MATRICES. MAKE SURE ALL YOUR CELLS ARE FILLED!!!!
------Extras:
>>ROTATION requires matrices & angle TO BE DOUBLE (floating type)
others can be int. (exc Reflect which depends on Rotate.
>>ROTATION requires conversion of inputted DEGREE to RADIAN
180 deg = pi rad
1 deg = pi / 180 * 1 rad
x deg = pi / 180 * x rad
>>ROTATION requires Math.h headerfile
>> If Ma'am asks you to do multiple transformations.
Add the extra bits of INPUT into Change()
and duplicate Change to its types
*/
double P[3][10], P2[3][10], n, T[3][3];
int Tx, Ty; //For Translation
int Sx, Sy; //For Scaling
double angle; //For Rotation
double m,b;
int Fx, Fy; //Fixed point
void INPUT()
{
cout<<"\n Enter no of sides of Shape: ";
cin>>n;
//i for each point
cout<<"\n Enter the coordinates of Triangle";
for(int i=0; i<n; i++)
{
cout<<"\n"<<i+1<<" (x,y) = ";
cin>>P[0][i];
cin>>P[1][i];
P[2][i]=1; //LAST ROW
}
/*TRANSLATION:
cout<<"\n To Translate:";
cout<<"\n Enter Tx Ty ";
cin>>Tx>>Ty;
T[0][0]=1; T[0][1]=0; T[0][2]=Tx;
T[1][0]=0; T[1][1]=1; T[1][2]=Ty;
T[2][0]=0; T[2][1]=0; T[2][2]=1; */
/*SCALING
cout<<"\n To Scale:";
cout<<"\n Enter Sx Sy ";
cin>>Sx>>Sy;
T[0][0]=Sx; T[0][1]=0; T[0][2]=0;
T[1][0]=0; T[1][1]=Sy; T[1][2]=0;
T[2][0]=0; T[2][1]=0; T[2][2]=1; */
/*ROTATION
cout<<"\n To Rotate:";
cout<<"\n Enter angle: ";
cin>>angle;
//<<<<<<<<<<<<<<CONVERT DEGREE TO RADIAN + call MATH.h
angle = ( ( (22.0/7.0)/180.0 ) * angle );
cout<<( cos( angle ) );
T[0][0]=cos (angle); T[0][1]= - sin (angle); T[0][2]=0;
T[1][0]=sin (angle); T[1][1]= cos (angle); T[1][2]=0;
T[2][0]=0; T[2][1]= 0; T[2][2]=1;
*/
//REFLECTION:
cout<<"\n To Reflect:";
cout<<"\n Enter wrt eq (Y= m X + b) value of m & b: ";
cin>>m>>b;
cout<<( cos( angle ) );
T[0][0]=(1-m*m)/(1+m*m); T[0][1]= 2*m/ (1+m*m); T[0][2]= - (2*m*b)/(1+m*m);
T[1][0]=2*m/(1+m*m); T[1][1]= (m*m-1)/(1+m*m); T[1][2]= (2*b)/(1+m*m);
T[2][0]=0; T[2][1]= 0; T[2][2]= 1;
/*^^^^^^^^^^^^^^^^^^^^^^^^^ WRT POINT
cout<<"\n Enter the fixed points: (x,y)";
cin>>Fx>>Fy; */
/*SCALING wrt POINT
cout<<"\n To Scale:";
cout<<"\n Enter Sx Sy ";
cin>>Sx>>Sy;
T[0][0]=Sx; T[0][1]=0; T[0][2]=-Fx*Sx + Fx;
T[1][0]=0; T[1][1]=Sy; T[1][2]=-Fy*Sy + Fy;
T[2][0]=0; T[2][1]=0; T[2][2]=1; */
/*ROTATION wrt POINT
cout<<"\n To Rotate:";
cout<<"\n Enter angle: ";
cin>>angle;
//<<<<<<<<<<<<<<CONVERT DEGREE TO RADIAN + call MATH.h
angle = ( ( (22.0/7.0)/180.0 ) * angle );
cout<<( cos( angle ) );
T[0][0]=cos (angle); T[0][1]= - sin (angle); T[0][2]=-(Fx*T[0][0]+Fy*T[0][1])+Fx;
T[1][0]=sin (angle); T[1][1]= cos (angle); T[1][2]=-(Fx*T[1][0]+Fy*T[1][1])+Fy;
T[2][0]=0; T[2][1]= 0; T[2][2]=1;
*/
}
void Change()
{
/*here: i for Rows (x,y,1)
j for Columns (each point)
k for multiplication of matrices (common) */
for(int i=0; i<3; i++)
{
for(int j=0; j<n; j++)
{
P2[i][j]=0;
for(int k=0; k<3; k++)
{
P2[i][j] += T[i][k] * P[k][j];
}
}
}
}
void ShowM(double A[3][10])
{
for(int i=0; i<3; i++)
{
for(int j=0; j<n; j++)
{
cout<<" "<<A[i][j];
}
cout<<"\n";
}
}
void ShowT()
{
for(int i=0; i<3; i++)
{
for(int j=0; j<3; j++)
{
cout<<" "<<T[i][j];
}
cout<<"\n";
}
}
void Draw( double A[3][10] )
{
//MID POINT
int X= getmaxx()*0.5;
int Y= getmaxy()*0.5;
//i for each point
for(int i=0; i< ( n - 1 ); i++)
{
line(X + A[0][i],Y + A[1][i], X + A[0][i+1], Y+ A[1][i+1]);
}
line(X + A[0][i], Y + A[1][i], X + A[0][0],Y + A[1][0]);
//below so axis is not green, or blue
setcolor(DARKGRAY);
//DRAW AXIS:
line(0, getmaxy()*0.5,
getmaxx(), getmaxy()*0.5);
line(getmaxx()*0.5, 0,
getmaxx()*0.5, getmaxy());
}
void main()
{
int gdriver=DETECT,gmode;
//INPUT & INITIALIZATION:::::::::::::::::::::::::::::::::::
INPUT();
//THE TRANSFORM::::::::::::::::::::::::::::::::::::::::::::::
Change();
//SHOW MATRICES::::::::::::::::::::::::::::::::::::::::::::::
cout<<"\n Show Matrices:";
cout<<"\n\nORIGINAL:\n";
ShowM(P);
cout<<"\nTRANSFORMATION MAT:\n";
ShowT();
cout<<"\n\nTRANSFORMED:\n";
ShowM(P2);
cout<<"\n Draw? ";
getch();
//DRAW::::::::::::::::::::::::::::::::::::::::::::::::::::::::
initgraph(&gdriver, &gmode, "C:/TC/BGI");
cleardevice();
//Before
setcolor(GREEN);
Draw(P);
//After
setcolor(CYAN);
Draw(P2);
getch();
closegraph();
}
|
