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C++ > Algorithms Code Examples

Graphic Simulation for Shortest & 2nd shortest path in a Weighted Graph

/* Graphic Simulation for Shortest & 2nd shortest path in a Weighted Graph */ #include<stdio.h> #include<conio.h> #include<graphics.h> #include<dos.h> float sum=0,w=0,s,wn,v[8],td=0,e,i,j,n,w1[8],j1[8],arr[8],arr1[8],e1,count,d2,y1 ; float var,a[8][8],d[8],p[8],n1,c,c1,w2; void main() { int gd=DETECT,gm; clrscr(); void draw(float,float); void dijkstra(float s,float e,float v1[8],float d1[8],float p1[8],float a1[8][8],float n); void ssp(); void path(); void initial(); printf("There are 8 routers in each subnet "); n=8; for(i=0;i<n;i++) { for(j=0;j<n;j++) { a[i][j]=32767; }} printf("Enter the weight between 0 & 1 : "); scanf("%f",&a[0][1]); a[1][0]=a[0][1]; printf("Enter the weight between 0 & 3 : "); scanf("%f",&a[0][3]); a[3][0]=a[0][3]; printf("Enter the weight between 1 & 5 : "); scanf("%f",&a[1][5]); a[5][1]=a[1][5]; printf("Enter the weight between 1 & 2 : "); scanf("%f",&a[1][2]); a[2][1]=a[1][2]; printf("Enter the weight between 2 & 4 : "); scanf("%f",&a[2][4]); a[4][2]=a[2][4]; printf("Enter the weight between 2 & 3 : "); scanf("%f",&a[2][3]); a[3][2]=a[2][3]; printf("Enter the weight between 3 & 7 : "); scanf("%f",&a[3][7]); a[7][3]=a[3][7]; printf("Enter the weight between 4 & 5 : "); scanf("%f",&a[4][5]); a[5][4]=a[4][5]; printf("Enter the weight between 4 & 7 : "); scanf("%f",&a[4][7]); a[7][4]=a[4][7]; printf("Enter the weight between 5 & 6 : "); scanf("%f",&a[5][6]); a[6][5]=a[5][6]; printf("Enter the weight between 6 & 7 : "); scanf("%f",&a[6][7]); a[7][6]=a[6][7]; printf("Enter source and destination node from network 1 "); scanf("%f %f",&s,&e); clrscr(); initgraph(&gd,&gm,"c:\tc\bgi"); setcolor(WHITE); fillellipse(20,100,7,7);fillellipse(85,50,7,7); fillellipse(150,100,7,7);fillellipse(85,150,7,7); fillellipse(320,100,7,7);fillellipse(385,50,7,7); fillellipse(450,100,7,7);fillellipse(385,150,7,7); w1[0]=20;w1[1]=85;w1[2]=150;w1[3]=85;w1[4]=320; w1[5]=385;w1[6]=450;w1[7]=385; j1[0]=100;j1[1]=50;j1[2]=100;j1[3]=150;j1[4]=100;j1[5]=50; j1[6]=100;j1[7]=150; initial(); setcolor(GREEN); for(i=0;i<n;i++) { v[i]=32767; d[i]=32767; p[i]=0; } w=s; d[s]=0; v[s]=s; td=0; dijkstra(s,e,v,d,p,a,n); path(); c=w1[e]; c1=j1[e]; printf("One more packet ?(Type 1 if yes) "); scanf("%f",&count); path(); if(count==1) ssp(); path(); w=e; setcolor(GREEN); count=0; printf("Enter source and destination node from network 2 "); scanf("%f %f",&s,&e); a[0][1]=2; a[0][3]=6; a[1][2]=2; a[1][5]=7; a[2][3]=1; a[2][4]=2; a[4][5]=3; a[5][6]=3; a[4][7]=2; a[6][7]=2; a[3][7]=4; a[1][0]=2; a[3][0]=6; a[2][1]=2; a[5][1]=7; a[3][2]=1; a[4][2]=2; a[5][4]=3; a[6][5]=3; a[7][4]=2; a[7][6]=2; a[7][3]=4; setcolor(WHITE); fillellipse(20,400,7,7);fillellipse(85,350,7,7); fillellipse(150,400,7,7);fillellipse(85,450,7,7); fillellipse(320,400,7,7);fillellipse(385,350,7,7); fillellipse(450,400,7,7);fillellipse(385,450,7,7); w1[0]=20;w1[1]=85;w1[2]=150;w1[3]=85;w1[4]=320; w1[5]=385;w1[6]=450;w1[7]=385; j1[0]=400;j1[1]=350;j1[2]=400;j1[3]=450;j1[4]=400;j1[5]=350; j1[6]=400;j1[7]=450; initial(); setcolor(GREEN); for(i=0;i<n;i++) { v[i]=32767; d[i]=32767; p[i]=0; } w=s; d[s]=0; v[s]=s; td=0; line(c,c1,w1[s],j1[s]); delay(2000); dijkstra(s,e,v,d,p,a,n); path(); if(count==1) ssp(); path(); getch(); } void dijkstra(float s,float e,float v1[8],float d1[8],float p1[8],float a1[8][8],float n) { while((p1[e])==0) { for(i=0;i<n;i++) { if((a1[w][i]+td)<d1[i]&&i!=w&&a1[w][i]!=32767) { d1[i]=a1[w][i]+td; d2=d1[i]; v1[i]=w; }} sum=32767; for(i=0;i<n;i++) { if(d1[i]<sum&&i!=s&&p1[i]!=1) { sum=d1[i]; wn=i; }} p1[wn]=1; td=d1[wn]; w=wn; } } void draw(float w,float v1) { float s,x,y; s=(j1[v1]-j1[w])/(w1[v1]-w1[w]); if(s<0) s=s*-1; x=w1[w]; y=j1[w]; moveto(x,y); if(x==w1[v1]) { while(y!=j1[v1]) { if(y>j1[v1]) { line(x,y,x,y-1); delay(10); y=y-1; } else { line(x,y,x,y+1); delay(10); y=y+1; }}} if(y==j1[v1]) { while(x!=w1[v1]) { if(x>w1[v1]) { line(x,y,x-1,y); delay(10); x=x-1; } else { line(x,y,x+1,y); delay(10); x=x+1; }}} if(x<w1[v1]&&y<j1[v1]) { while(x!=w1[v1]) { line(x,y,x+1,y+s); delay(10); x=x+1; y=y+s; }} if(x>w1[v1]&&y>j1[v1]) { while(x!=w1[v1]) { line(x,y,x-1,y-s); delay(10); x=x-1; y=y-s; i=i+1; }} if(x>w1[v1]&&y<j1[v1]) { while(x!=w1[v1]) { line(x,y,x-1,y+s); delay(10); x=x-1; y=y+s; i=i+1; }} if(x<w1[v1]&&y>j1[v1]) { while(x!=w1[v1]) { line(x,y,x+1,y-s); delay(10); x=x+1; y=y-s; i=i+1; } }} void ssp() { d2=y1=32767; setcolor(RED); e1=e; for(i=0;i<n;i++) { arr1[i]=v[i]; arr[i]=v[i]; } while(e1!=s) { var=a[e1][arr1[e1]]=a[arr1[e1]][e1]; a[e1][arr1[e1]]=a[arr1[e1]][e1]=32767; for(i=0;i<n;i++) { v[i]=32767; d[i]=32767; p[i]=0; } w=s;d[s]=0; v[s]=s; td=0; dijkstra(s,e,v,d,p,a,n); if(d2<y1) { y1=d2; for(i=0;i<n;i++) arr[i]=v[i]; } a[e1][arr1[e1]]=a[arr1[e1]][e1]=var; e1=arr1[e1]; }} void path() { while(w!=s) { if(count==0) { draw(w,v[w]); w=v[w]; } else { draw(w,arr[w]); w=arr[w]; }}} void initial() { line(w1[0],j1[0],w1[1],j1[1]); line(w1[0],j1[0],w1[3],j1[3]); line(w1[1],j1[1],w1[5],j1[5]); line(w1[1],j1[1],w1[2],j1[2]); line(w1[2],j1[2],w1[4],j1[4]); line(w1[2],j1[2],w1[3],j1[3]); line(w1[3],j1[3],w1[7],j1[7]); line(w1[4],j1[4],w1[5],j1[5]); line(w1[4],j1[4],w1[7],j1[7]); line(w1[5],j1[5],w1[6],j1[6]); line(w1[6],j1[6],w1[7],j1[7]); }

To create a program in Graphics Mode, the first step would be to include the header file graphics.h. This file is required for Graphics programming. After this, the graphics have to be initialized. C Language supports 16 Bit's MS-DOS environment. Initializing the Graphics mode is to call various functions, one such is called initgraph. initgraph initializes the graphics system by loading a graphics driver from disk (or validating a registered driver), and putting the system into graphics mode. To start the graphics system, first call the initgraph function. initgraph loads the graphics driver and puts the system into graphics mode. You can tell initgraph to use a particular graphics driver and mode, or to autodetect the attached video adapter at run time and pick the corresponding driver. If you tell initgraph to autodetect, it calls detectgraph to select a graphics driver and mode. initgraph also resets all graphics settings to their defaults (current position, palette, color, viewport, and so on)

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Logical Operators are used to compare and connect two or more expressions or variables, such that the value of the expression is completely dependent on the original expression or value or variable. We use logical operators to check whether an expression is true or false. If the expression is true, it returns 1 whereas if the expression is false, it returns 0. Assume variable A holds 1 and variable B holds 0:

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