It is a program for NFA ( Non-deterministic Finite Automata) to DFA (Deterministic Finite Auctomata ) Conversion using the Subset Construction Algorithm.
NFA states, inputs, transitions
DFA transition table
Submitted On | |
By | Ritin |
Level | Advanced |
User Rating | 5.0 (10 globes from 2 users) |
Compatibility | C, C++ (general) |
Category | Algorithms |
World | C / C++ |
Archive File |
//NFA to DFA conversion
#include <stdio.h>
#include <string.h>
#define STATES 50
struct Dstate
{
char name;
char StateString[STATES+1];
char trans[10];
int is_final;
}Dstates[50];
struct tran
{
char sym;
int tostates[50];
int notran;
};
struct state
{
int no;
struct tran tranlist[50];
};
int stackA[100],stackB[100],C[100],Cptr=-1,Aptr=-1,Bptr=-1;
struct state States[STATES];
char temp[STATES+1],inp[10];
int nos,noi,nof,j,k,nods=-1;
void pushA(int z)
{
stackA[++Aptr]=z;
}
void pushB(int z)
{
stackB[++Bptr]=z;
}
int popA()
{
return stackA[Aptr--];
}
void copy(int i)
{
char temp[STATES+1]=" ";
int k=0;
Bptr=-1;
strcpy(temp,Dstates[i].StateString);
while(temp[k]!='\0')
{
pushB(temp[k]-'0');
k++;
}
}
int popB()
{
return stackB[Bptr--];
}
int peekB()
{
return stackA[Bptr];
}
int peekA()
{
return stackA[Aptr];
}
int seek(int arr[],int ptr,int s)
{
int i;
for(i=0;i<=ptr;i++)
{
if(s==arr[i])
return 1;
}
return 0;
}
void sort()
{
int i,j,temp;
for(i=0;i<Bptr;i++)
{
for(j=0;j<(Bptr-i);j++)
{
if(stackB[j]>stackB[j+1])
{
temp=stackB[j];
stackB[j]=stackB[j+1];
stackB[j+1]=temp;
}
}
}
}
void tostring()
{
int i=0;
sort();
for(i=0;i<=Bptr;i++)
{
temp[i]=stackB[i]+'0';
}
temp[i]='\0';
}
void display_DTran()
{
int i,j;
printf("\n\t\t DFA Transition Table ");
printf("\n\t\t -------------------- ");
printf("\nStates\tString\tInputs\n ");
for(i=0;i<noi;i++)
{
printf("\t%c",inp[i]);
}
printf("\n \t----------");
for(i=0;i<nods;i++)
{
if(Dstates[i].is_final==0)
printf("\n%c",Dstates[i].name);
else
printf("\n*%c",Dstates[i].name);
printf("\t%s",Dstates[i].StateString);
for(j=0;j<noi;j++)
{
printf("\t%c",Dstates[i].trans[j]);
}
}
printf("\n");
}
void move(int st,int j)
{
int ctr=0;
while(ctr<States[st].tranlist[j].notran)
{
pushA(States[st].tranlist[j].tostates[ctr++]);
}
}
void lambda_closure(int st)
{
int ctr=0,in_state=st,curst=st,chk;
while(Aptr!=-1)
{
curst=popA();
ctr=0;
in_state=curst;
while(ctr<=States[curst].tranlist[noi].notran)
{
chk=seek(stackB,Bptr,in_state);
if(chk==0)
pushB(in_state);
in_state=States[curst].tranlist[noi].tostates[ctr++];
chk=seek(stackA,Aptr,in_state);
if(chk==0 && ctr<=States[curst].tranlist[noi].notran)
pushA(in_state);
}
}
}
main()
{
int final[20],start,fin=0,i;
char c,ans,st[20];
printf("\nEnter no. of states in NFA : ");
scanf("%d",&nos);
for(i=0;i<nos;i++)
{
States[i].no=i;
}
printf("\nEnter the start state : ");
scanf("%d",&start);
printf("Enter the no. of final states : ");
scanf("%d",&nof);
printf("\nEnter the final states : \n");
for(i=0;i<nof;i++)
scanf("%d",&final[i]);
printf("\nEnter the no. of input symbols : ");
scanf("%d",&noi);
c=getchar();
printf("\nEnter the input symbols : \n ");
for(i=0;i<noi;i++)
{
scanf("%c",&inp[i]);
c=getchar();
}
inp[i]='e';
printf("\nEnter the transitions : (-1 to stop)\n");
for(i=0;i<nos;i++)
{
for(j=0;j<=noi;j++)
{
States[i].tranlist[j].sym=inp[j];
k=0;
ans='y';
while(ans=='y')
{
printf("move(%d,%c) : ",i,inp[j]);
scanf("%d",&States[i].tranlist[j].tostates[k++]);
if(States[i].tranlist[j].tostates[k-1]==-1)
{
k--;ans='n';
break;
}
}
States[i].tranlist[j].notran=k;
}
}
//Conversion
i=0;nods=0;fin=0;
pushA(start);
lambda_closure(peekA());
tostring();
Dstates[nods].name='A';
nods++;
strcpy(Dstates[0].StateString,temp);
while(i<nods)
{
for(j=0;j<noi;j++)
{
fin=0;
copy(i);
while(Bptr!=-1)
{
move(popB(),j);
}
while(Aptr!=-1)
lambda_closure(peekA());
tostring();
for(k=0;k<nods;k++)
{
if((strcmp(temp,Dstates[k].StateString)==0))
{
Dstates[i].trans[j]=Dstates[k].name;
break;
}
}
if(k==nods)
{
nods++;
for(k=0;k<nof;k++)
{
fin=seek(stackB,Bptr,final[k]);
if(fin==1)
{
Dstates[nods-1].is_final=1;
break;
} }
strcpy(Dstates[nods-1].StateString,temp);
Dstates[nods-1].name='A'+nods-1;
Dstates[i].trans[j]=Dstates[nods-1].name;
}
}
i++;
}
display_DTran();
}