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Program to illustrate the implementation of Reflection Transformation about the line y=x and y=-x

Posted By: Easy Tutor     Category: C++ Programming     Views: 5709

Write a program to illustrate the implementation of Reflection Transformation about the line y=x and y=-x.

Code for Program to illustrate the implementation of Reflection Transformation about the line y=x and y=-x in C++ Programming

 # include <iostream.h>
 # include <graphics.h>
 # include    <conio.h>
 # include     <math.h>

 void show_screen( );

 void apply_reflection_about_line_yex(constint,int []);
 void apply_reflection_about_line_yemx(constint,int []);
 void apply_reflection_along_x_axis(constint,int []);
 void apply_reflection_along_y_axis(constint,int []);
 void apply_rotation(constint,int [],float);
 void multiply_matrices(constfloat[3],constfloat[3][3],float[3]);

 void Polygon(constint,constint []);
 void Line(constint,constint,constint,constint);
 void Dashed_line(constint,constint,constint,constint,constint=0);


 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);

      Dashed_line(160,400,460,100,0);
      Dashed_line(180,100,480,400,0);

       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(350,100,"Reflection about the line y=x");
     outtextxy(115,100,"Reflection about the line y=-x");

       int x_polygon[8]={ 340,200, 420,120, 370,120, 340,200 };
       int y_polygon[8]={ 300,200, 220,120, 270,120, 300,200 };

       setcolor(15);
     Polygon(4,x_polygon);
     Polygon(4,y_polygon);

       apply_reflection_about_line_yex(4,x_polygon);
       apply_reflection_about_line_yemx(4,y_polygon);

       setcolor(7);
     Polygon(4,x_polygon);
     Polygon(4,y_polygon);

       getch( );
       return 0;
    }

 /*************************************************************************///----------------  apply_reflection_about_line_yex( )  -----------------///*************************************************************************/void apply_reflection_about_line_yex(constint n,int coordinates[])
    {
       apply_rotation(n,coordinates,45);
       apply_reflection_along_x_axis(n,coordinates);
       apply_rotation(n,coordinates,-45);
    }

 /*************************************************************************///---------------  apply_reflection_about_line_yemx( )  -----------------///*************************************************************************/void apply_reflection_about_line_yemx(constint n,int coordinates[])
    {
       apply_rotation(n,coordinates,45);
       apply_reflection_along_y_axis(n,coordinates);
       apply_rotation(n,coordinates,-45);
    }

 /*************************************************************************///-------------------------  apply_rotation( )  -------------------------///*************************************************************************/void apply_rotation(constint n,int coordinates[],float angle)
    {
       float xr=320;
       float yr=240;

       angle*=(M_PI/180);

       for(int count_1=0;count_1<n;count_1++)
      {
         float matrix_a[3]={coordinates[(count_1*2)],
                         coordinates[((count_1*2)+1)],1};

         float temp_1=(((1-cos(angle))*xr)+(yr*sin(angle)));
         float temp_2=(((1-cos(angle))*yr)-(xr*sin(angle)));

         float matrix_b[3][3]={ { cos(angle),sin(angle),0 } ,
                    { -sin(angle),cos(angle),0 } ,
                        { temp_1,temp_2,1 } };
         float matrix_c[3]={0};

         multiply_matrices(matrix_a,matrix_b,matrix_c);

         coordinates[(count_1*2)]=(int)(matrix_c[0]+0.5);
         coordinates[((count_1*2)+1)]=(int)(matrix_c[1]+0.5);
      }
    }

 /*************************************************************************///------------------  apply_reflection_along_x_axis( )  -----------------///*************************************************************************/void apply_reflection_along_x_axis(constint n,int coordinates[])
    {
       for(int count=0;count<n;count++)
      {
         float matrix_a[3]={coordinates[(count*2)],
                         coordinates[((count*2)+1)],1};
         float matrix_b[3][3]={ {1,0,0} , {0,-1,0} ,{ 0,0,1} };
         float 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(constint n,int coordinates[])
    {
       for(int count=0;count<n;count++)
      {
         float matrix_a[3]={coordinates[(count*2)],
                         coordinates[((count*2)+1)],1};
         float matrix_b[3][3]={ {-1,0,0} , {0,1,0} ,{ 0,0,1} };
         float 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];
      }
    }

 /************************************************************************///----------------------  multiply_matrices( )  ------------------------///************************************************************************/void multiply_matrices(constfloat matrix_1[3],
                   constfloat matrix_2[3][3],float 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(constint n,constint 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(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<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);
        }
      }
    }

 /*************************************************************************///---------------------------  Dashed_line( )  --------------------------///*************************************************************************/void Dashed_line(constint x_1,constint y_1,constint x_2,
                      constint y_2,constint line_type)
    {
       int count=0;
       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;
              }

           if((count%2)!=0 && line_type==0)
              putpixel(x,y,color);

           elseif((count%5)!=4 && line_type==1)
              putpixel(x,y,color);

           elseif((count%10)!=8 && (count%10)!=9 && line_type==2)
              putpixel(x,y,color);

           elseif((count%20)!=18 && (count%20)!=19 && line_type==3)
              putpixel(x,y,color);

           elseif((count%12)!=7 && (count%12)!=8 &&
                (count%12)!=10 && (count%12)!=11 && line_type==4)
              putpixel(x,y,color);

           count++;
        }
      }

       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;
              }

           if((count%2)!=0 && line_type==0)
              putpixel(x,y,color);

           elseif((count%5)!=4 && line_type==1)
              putpixel(x,y,color);

           elseif((count%10)!=8 && (count%10)!=9 && line_type==2)
              putpixel(x,y,color);

           elseif((count%20)!=18 && (count%20)!=19 && line_type==3)
              putpixel(x,y,color);

           elseif((count%12)!=7 && (count%12)!=8 &&
                (count%12)!=10 && (count%12)!=11 && line_type==4)
              putpixel(x,y,color);

           count++;
        }
      }
    }

 /*************************************************************************///--------------------------  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.");
    }

  
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Easy Tutor
Easy Tutor author of Program to illustrate the implementation of Reflection Transformation about the line y=x and y=-x is from United States. Easy Tutor says

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