Code for Program to show the 3D
Reflection Transformation along xy-plane in C++ Programming
# include
# include
# include
# include
# define f 0.3
# define projection_angle 45
void show_screen( );
void apply_xy_reflection(int[5][3]);
void multiply_matrices(constfloat[4],constfloat[4][4],float[4]);
void draw_pyramid(constint [5][3]);
void get_projected_point(int&,int&,int&);
void line(constint,constint,constint,constint);
int main( )
{
int driver=vga;
int mode=vgahi;
initgraph(&driver,&mode,"..\\Bgi");
show_screen( );
int pyramid[5][3]={ {270,300,50}, {370,300,50},{370,300,-50}, {270,300,-50}, {320,150,0} };
setcolor(15);
draw_pyramid(pyramid);
setcolor(15);
settextstyle(0,0,1);
outtextxy(50,415,"*** Press any key to see the 3D Reflection along xy-plane.");
apply_xy_reflection(pyramid);
getch( );
setcolor(10);
draw_pyramid(pyramid);
getch( );
return 0;
}
/*************************************************************************///------------------------- apply_xy_reflection( ) -----------------///*************************************************************************/
void apply_xy_reflection(int edge_points[5][3])
{
for(int count=0;count<5 count="" span="">
{
float matrix_a[4]={edge_points[count][0],edge_points[count][1],
edge_points[count][2],1};
float matrix_b[4][4]={ { 1,0,0,0 } , { 0,1,0,0 } , { 0,0,-1,0 } , { 0,0,0,1 } };
float matrix_c[4]={0};
multiply_matrices(matrix_a,matrix_b,matrix_c);
edge_points[count][0]=(int)(matrix_c[0]+0.5);
edge_points[count][1]=(int)(matrix_c[1]+0.5);
edge_points[count][2]=(int)(matrix_c[2]+0.5);
}
}
/************************************************************************///---------------------- multiply_matrices( ) ------------------------///************************************************************************/
void multiply_matrices(constfloat matrix_1[4], constfloat matrix_2[4][4],float matrix_3[4])
{
for(int count_1=0;count_1<4 count_1="" span="">
{
for(int count_2=0;count_2<4 count_2="" span="">
matrix_3[count_1]+=
(matrix_1[count_2]*matrix_2[count_2][count_1]);
}
}
/************************************************************************///-------------------------- draw_pyramid( ) ------------------------///************************************************************************/
void draw_pyramid(constint points[5][3])
{
int edge_points[5][3];
for(int i=0;i<5 i="" span="">
{
edge_points[i][0]=points[i][0];
edge_points[i][1]=points[i][1];
edge_points[i][2]=points[i][2];
get_projected_point(edge_points[i][0],
edge_points[i][1],edge_points[i][2]);
}
line(edge_points[0][0],edge_points[0][1],
edge_points[1][0],edge_points[1][1]);
line(edge_points[1][0],edge_points[1][1],
edge_points[2][0],edge_points[2][1]);
line(edge_points[2][0],edge_points[2][1],
edge_points[3][0],edge_points[3][1]);
line(edge_points[3][0],edge_points[3][1],
edge_points[0][0],edge_points[0][1]);
line(edge_points[0][0],edge_points[0][1],
edge_points[4][0],edge_points[4][1]);
line(edge_points[1][0],edge_points[1][1],
edge_points[4][0],edge_points[4][1]);
line(edge_points[2][0],edge_points[2][1],
edge_points[4][0],edge_points[4][1]);
line(edge_points[3][0],edge_points[3][1],
edge_points[4][0],edge_points[4][1]);
}
/************************************************************************///--------------------- get_projected_point( ) ----------------------///************************************************************************/
void get_projected_point(int& x,int& y,int& z)
{
float fcos0=(f*cos(projection_angle*(m_pi/180)));
float fsin0=(f*sin(projection_angle*(m_pi/180)));
float Par_v[4][4]={ {1,0,0,0},{0,1,0,0},{fcos0,fsin0,0,0},{0,0,0,1}};
float xy[4]={x,y,z,1};
float new_xy[4]={0};
multiply_matrices(xy,Par_v,new_xy);
x=(int)(new_xy[0]+0.5);
y=(int)(new_xy[1]+0.5);
z=(int)(new_xy[2]+0.5);
}
/*************************************************************************///------------------------------- Line( ) -----------------------------///*************************************************************************/
void line(constint x_1,constint y_1,constint x_2,constint y_2)
{
int color=getcolor( );
int x1=x_1;
int y1=y_1;
int x2=x_2;
int y2=y_2;
if(x_1>x_2)
{
x1=x_2;
y1=y_2;
x2=x_1;
y2=y_1;
}
int dx=abs(x2-x1);
int dy=abs(y2-y1);
int inc_dec=((y2>=y1)?1:-1);
if(dx>dy)
{
int two_dy=(2*dy);
int two_dy_dx=(2*(dy-dx));
int p=((2*dy)-dx);
int x=x1;
int y=y1;
putpixel(x,y,color);
while(x
{
x++;
if(p<0 span="">
p+=two_dy;
else
{
y+=inc_dec;
p+=two_dy_dx;
}
putpixel(x,y,color);
}
}
else
{
int two_dx=(2*dx);
int two_dx_dy=(2*(dx-dy));
int p=((2*dx)-dy);
int x=x1;
int y=y1;
putpixel(x,y,color);
while(y!=y2)
{
y+=inc_dec;
if(p<0 span="">
p+=two_dx;
else
{
x++;
p+=two_dx_dy;
}
putpixel(x,y,color);
}
}
}
/*************************************************************************///-------------------------- show_screen( ) ------------------------///*************************************************************************/
void show_screen( )
{
setfillstyle(1,1);
bar(194,26,436,38);
settextstyle(0,0,1);
setcolor(15);
outtextxy(5,5,"******************************************************************************");
outtextxy(5,17,"*-**************************************************************************-*");
outtextxy(5,29,"*-----------------------------------------------------*");
outtextxy(5,41,"*-**************************************************************************-*");
outtextxy(5,53,"*-**************************************************************************-*");
setcolor(11);
outtextxy(200,29,"3D Reflection along xy-plane");
setcolor(15);
for(int count=0;count<=30;count++)
outtextxy(5,(65+(count*12)),"*-* *-*");
outtextxy(5,438,"*-**************************************************************************-*");
outtextxy(5,450,"*-------------------------------------------------------*"); outtextxy(5,462,"******************************************************************************");
setcolor(12);
outtextxy(229,450,"Press any Key to exit.");
}
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