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167 | #include<iostream.h>
#include<conio.h>
#include<graphics.h>
#include<math.h>
int n;
double P[3][10];
double P2[3][10];
double S[3][3];
double angle;
int h,k;
double deg2rad(double deg)
{
double rad= ((22.0/7.0)/180.0)*deg; return rad;
}
void INPUT()
{
int ch;
cout<<"\n For Polygon where No of edges (>3) = ";
cin>>n;
cout<<"\n Enter the coordinates of "<<n<<" sided Polygon: \n";
for(int i=0; i<n; i++)
{
cout<<" "<<i+1<<" Point (x,y) : ";
cin>>P[0][i]>>P[1][i];
P[2][i]=1;
}
cout<<"\n Enter the Angle: "; cin>>angle;
cout<<"\n Scaling W.R.T which point (1/2/3...) : ";
cin>>ch;
if(ch!=0)
{
h=P[0][ch-1];
k=P[1][ch-1];
}
}
void ROTATEpoint()
{
double x=angle;
// S[3][3] : Scaling MATRIX
// P[3][n] : 3 x n MATRIX
// P2[3][n] : Final MATRIX
//ROTATE Matrix:
//1st - making the identity Matrix
for(int i=0; i<3; i++)
{
for(int j=0; j<3; j++)
{
if(i==j) //DIAGONAL
S[i][j] = 1;
else
S[i][j] = 0;
}
}
//2nd - making changes
S[0][0] = cos ( deg2rad(x) );
S[0][1] = - sin( deg2rad(x) );
S[1][0] = sin ( deg2rad(x) );
S[1][1] = cos ( deg2rad(x) );
S[0][2] = -h*cos(deg2rad(x)) + k*sin ( deg2rad(x) ) + h;
S[1][2] = -h*sin(deg2rad(x)) - k*cos ( deg2rad(x) ) + k;
// Matrix Multiplication
// S(3x3) x P(3xN)
for(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]+=S[i][k]*P[k][j];
}
}
}
}
void Display_Matrix(double p[3][10])
{
for(int i=0; i<3; i++)
{
cout<<"\n |";
for(int j=0; j<n; j++)
cout<<" "<<p[i][j];
cout<<" |";
}
}
void DRAW(double p[3][10])
{
for(int i=0; i<n-1; i++)
{
line(getmaxx()*0.5+p[0][i], getmaxy()*0.5+p[1][i],
getmaxx()*0.5+p[0][i+1], getmaxy()*0.5+p[1][i+1]); }
line(getmaxx()*0.5+p[0][n-1], getmaxy()*0.5+p[1][n-1],
getmaxx()*0.5+p[0][0], getmaxy()*0.5+p[1][0]);
}
void main()
{
INPUT();
Display_Matrix(P);
cout<<endl;
ROTATEpoint();
for(int i=0; i<3; i++)
{
cout<<"\n |";
for(int j=0; j<3; j++)
cout<<" "<<S[i][j];
cout<<" |";
}
cout<<endl;
Display_Matrix(P2);
cout<<"\n\n Press Enter to see Graphically? ";
getch();
int gdriver=DETECT,gmode;
initgraph(&gdriver,&gmode,"C:/TC/BGI");
setcolor(DARKGRAY);
//X AXIS
line(getmaxx()*0.5, 0, getmaxx()*0.5, getmaxy());
//Y AXIS
line(0, getmaxy()*0.5, getmaxx(), getmaxy()*0.5);
setcolor(CYAN);
DRAW(P);
setcolor(GREEN);
DRAW(P2);
getch();
closegraph();
} |
