/*************************************************************************/ /*************************************************************************
A C++ program to illustrate the implementation of 3D Rotation Transformation along x-axis.
*************************************************************************/ /*************************************************************************/
/*************************************************************************
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/*************************************************************************/ /*************************************************************************/ //--------------------------- Header Files ----------------------------// /*************************************************************************/ /*************************************************************************/ # include <iostream.h> # include <graphics.h> # include <conio.h> # include <math.h> /*************************************************************************/ /*************************************************************************/ //----------------------- Global Declarations -------------------------// /*************************************************************************/ /*************************************************************************/
# define f 0.3 # define projection_angle 45
/*************************************************************************/ /*************************************************************************/ //----------------------- Function Prototypes -------------------------// /*************************************************************************/ /*************************************************************************/
void show_screen( );
void apply_rotation_along_x_axis(const int [5][3],const int); void multiply_matrices(const float[4],const float[4][4],float[4]);
void draw_pyramid(int [5][3]); void get_projected_point(int&,int&,int&);
void Line(const int,const int,const int,const int);
/*************************************************************************/ /*************************************************************************/ //------------------------------ main( ) ------------------------------// /*************************************************************************/ /*************************************************************************/
int main( ) { int driver=DETECT,mode;
initgraph(&driver,&mode,"c:\\tc\\Bgi");
show_screen( );
int pyramid[5][3]={ {280,130,50}, // base front left {360,130,50}, // base front right {360,130,-50}, // base back right {280,130,-50}, // base back left {320,20,0} // top };
setcolor(15); draw_pyramid(pyramid);
setcolor(15); settextstyle(0,0,1); outtextxy(50,415,"*** Use + & - Keys to apply Rotation along x-axis.");
int angle=0; int key_code=0;
char Key=NULL;
do { Key=NULL; key_code=0;
Key=getch( ); key_code=int(Key);
if(key_code==0) { Key=getch( ); key_code=int(Key); }
if(key_code==27) break;
else if(key_code==43) angle-=5;
else if(key_code==45) angle+=5;
setfillstyle(1,0); bar(40,70,600,410);
apply_rotation_along_x_axis(pyramid,angle); } while(1);
return 0; }
/*************************************************************************/ /*************************************************************************/ //------------------------ Funcion Definitions ------------------------// /*************************************************************************/ /*************************************************************************/
/*************************************************************************/ //------------------- apply_rotation_along_x_axis( ) ------------------// /*************************************************************************/
void apply_rotation_along_x_axis(const int control_points[5][3], const int theta) { int edge_points[5][3]={0};
float angle=(theta*(M_PI/180));
for(int count=0;count<5;count++) { edge_points[count][0]=control_points[count][0]; edge_points[count][1]=control_points[count][1]; edge_points[count][2]=control_points[count][2];
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,cos(angle),sin(angle),0 } , { 0,-sin(angle),cos(angle),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); }
setcolor(10); draw_pyramid(edge_points); }
/************************************************************************/ //---------------------- multiply_matrices( ) ------------------------// /************************************************************************/
void multiply_matrices(const float matrix_1[4], const float matrix_2[4][4],float matrix_3[4]) { for(int count_1=0;count_1<4;count_1++) { for(int count_2=0;count_2<4;count_2++) matrix_3[count_1]+= (matrix_1[count_2]*matrix_2[count_2][count_1]); } }
/************************************************************************/ //-------------------------- draw_pyramid( ) -------------------------// /************************************************************************/
void draw_pyramid(int points[5][3]) { int edge_points[5][3];
for(int i=0;i<5;i++) { 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]);
edge_points[i][1]+=240; }
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(const int x_1,const int y_1,const int x_2,const int 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) 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) p+=two_dx;
else { x++; p+=two_dx_dy; }
putpixel(x,y,color); } } }
/*************************************************************************/ //-------------------------- show_screen( ) ---------------------------// /*************************************************************************/
void show_screen( ) { setfillstyle(1,1); bar(210,26,420,38);
settextstyle(0,0,1); setcolor(15); outtextxy(5,5,"******************************************************************************"); outtextxy(5,17,"*-**************************************************************************-*"); outtextxy(5,29,"*----------------------- ------------------------*"); outtextxy(5,41,"*-**************************************************************************-*"); outtextxy(5,53,"*-**************************************************************************-*");
setcolor(11); outtextxy(218,29,"3D Rotation along X-axis");
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."); }
/*************************************************************************/ /*************************************************************************/ //----------------------------- THE END -------------------------------// /*************************************************************************/ /*************************************************************************/ |