Problems with writing powerset code

Question

I'm trying to generate the powerset of a set and I wrote this code. The problem is, when user enter two similar member of the set it dosen't work properly. What can I do? Here is my code:

#include <iostream>
#include <string.h>
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
using namespace std;

char obtain(char *p,int n)
{
    int i;
    for(i=0;i<n;i++)
    {
        cout<<"enter member"<<(i+1)<<"\n";
        cin>>*(p+i);
    }
    return *p;
}

void set_display(char *p,int n)
{
    cout<<"{";
    for(int i=0;i<n;i++)
    {
        cout<<*(p+i)<<",";
    }
    cout<<"}";
}

void powset(char *p,int n)
{
    unsigned int m = (double)pow((double)2, n);
    int i, j;
    for(i = 0; i < m; i++)
    {
        cout<<"{";
        for(j = 0; j < n; j++)
        {
            if(i& (1<<j))
                cout<<*(p+j);
        }
        cout<<"}\n";
    }
}

Answer 1

Ok I could not debug your code where you are missing. but since you posted your question I written an code in pure C. May be you find it helpful.

#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
int main(int argc, char* argv[]){
    int N;
    char y[20]={0};
    int i,j;
    y[0] = 'a';
    y[1] = 'b';
    y[2] = 'c'; 
    N = 3;
    int powerSet;
    powerSet=pow(2,N);
    for(i = 0; i<(powerSet);i++){
        for(j=0;j<N;j++){
            if((i & (1<<j))){
                printf("%c ",y[j]);
            }
        }
        printf("\n");
    }           
    printf("\n");
    return EXIT_SUCCESS;
}

And its working:

:~$ gcc x.c -lm -Wall
:~$ ./a.out 

a 
b 
a b 
c 
a c 
b c 
a b c 

[ANSWER]

You error case: When two symbols are same.

y[0] = 'a';
y[1] = 'a';
y[2] = 'c'; 

:~$ ./a.out 

a 
a 
a a 
c 
a c 
a c 
a a c 

But this is wrong according to set theory. Because in Set we can't have same element twice (more then onec). BUT ALSO INPUT IS WRONG: (a, a, c) is not a set. So code is usable.