# include <iostream.h> # include <graphics.h> # include <conio.h> # include <math.h> void show_screen( ); void apply_reflection_along_x_axis(const int,int []); void apply_reflection_along_y_axis(const int,int []); void apply_reflection_wrt_origin(const int,int []); void multiply_matrices(const int[3],const int[3][3],int[3]); void Polygon(const int,const int []); void Line(const int,const int,const int,const int); int main( ) { int driver=VGA; int mode=VGAHI; initgraph(&driver,&mode,\"..\\\\Bgi\"); show_screen( ); setcolor(15); Line(320,100,320,400); Line(315,105,320,100); Line(320,100,325,105); Line(315,395,320,400); Line(320,400,325,395); Line(150,240,500,240); Line(150,240,155,235); Line(150,240,155,245); Line(500,240,495,235); Line(500,240,495,245); settextstyle(2,0,4); outtextxy(305,85,\"y-axis\"); outtextxy(305,402,\"y\'-axis\"); outtextxy(505,233,\"x-axis\"); outtextxy(105,233,\"x\'-axis\"); outtextxy(380,100,\"Original Object\"); outtextxy(380,385,\"Reflection along x-axis\"); outtextxy(135,100,\"Reflection along y-axis\"); outtextxy(135,385,\"Reflection w.r.t origin\"); int polygon_points[8]={ 350,200, 380,150, 470,200, 350,200 }; int x_polygon[8]={ 350,200, 380,150, 470,200, 350,200 }; int y_polygon[8]={ 350,200, 380,150, 470,200, 350,200 }; int origin_polygon[8]={ 350,200, 380,150, 470,200, 350,200 }; setcolor(15); Polygon(4,polygon_points); apply_reflection_along_x_axis(4,x_polygon); setcolor(12); Polygon(4,x_polygon); apply_reflection_along_y_axis(4,y_polygon); setcolor(14); Polygon(4,y_polygon); apply_reflection_wrt_origin(4,origin_polygon); setcolor(10); Polygon(4,origin_polygon); getch( ); return 0; } //------------------ apply_reflection_along_x_axis( ) -----------------// void apply_reflection_along_x_axis(const int n,int coordinates[]) { for(int count=0;count<n;count++) { int matrix_a[3]={coordinates[(count*2)], coordinates[((count*2)+1)],1}; int matrix_b[3][3]={ {1,0,0} , {0,-1,0} ,{ 0,0,1} }; int matrix_c[3]={0}; multiply_matrices(matrix_a,matrix_b,matrix_c); coordinates[(count*2)]=matrix_c[0]; coordinates[((count*2)+1)]=(480+matrix_c[1]); } } //------------------ apply_reflection_along_y_axis( ) -----------------// void apply_reflection_along_y_axis(const int n,int coordinates[]) { for(int count=0;count<n;count++) { int matrix_a[3]={coordinates[(count*2)], coordinates[((count*2)+1)],1}; int matrix_b[3][3]={ {-1,0,0} , {0,1,0} ,{ 0,0,1} }; int matrix_c[3]={0}; multiply_matrices(matrix_a,matrix_b,matrix_c); coordinates[(count*2)]=(640+matrix_c[0]); coordinates[((count*2)+1)]=matrix_c[1]; } } //------------------ apply_reflection_wrt_origin( ) -------------------// void apply_reflection_wrt_origin(const int n,int coordinates[]) { for(int count=0;count<n;count++) { int matrix_a[3]={coordinates[(count*2)], coordinates[((count*2)+1)],1}; int matrix_b[3][3]={ {-1,0,0} , {0,-1,0} ,{ 0,0,1} }; int matrix_c[3]={0}; multiply_matrices(matrix_a,matrix_b,matrix_c); coordinates[(count*2)]=(640+matrix_c[0]); coordinates[((count*2)+1)]=(480+matrix_c[1]); } } /************************************************************************/ //---------------------- multiply_matrices( ) ------------------------// /************************************************************************/ void multiply_matrices(const int matrix_1[3], const int matrix_2[3][3],int matrix_3[3]) { for(int count_1=0;count_1<3;count_1++) { for(int count_2=0;count_2<3;count_2++) matrix_3[count_1]+= (matrix_1[count_2]*matrix_2[count_2][count_1]); } } //----------------------------- Polygon( ) ----------------------------// void Polygon(const int n,const int coordinates[]) { if(n>=2) { Line(coordinates[0],coordinates[1], coordinates[2],coordinates[3]); for(int count=1;count<(n-1);count++) Line(coordinates[(count*2)],coordinates[((count*2)+1)], coordinates[((count+1)*2)], coordinates[(((count+1)*2)+1)]); } } //------------------------------- 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<x2) { 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(208,26,430,38); 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,\"Reflection Transformation\"); 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.\"); }