c++ get() doesn't set eof

The function std::get() normally sets an eofbit when at the end of file. Since c++11 std::unget() first clears this bit and then proceds to unget last character read. What bothers me that after I reach eof, unget() doesn't seem to work for me, it only clears the bit but doesn't actually unget anything. Any subsequent calls to get() don't even set the eofbit again. Is this intentional, did I miss something in the documentation?

gcc version 6.3.1, -std=c++11

#include <iostream>
using namespace std;

int main ()
{
    while ( !cin . eof () )
        cout << " " <<  cin . get () << " ";
    cout << "end" << endl;
    cout << cin . eof () << endl;
    cout << (bool)cin . unget () << endl; 
    cout << cin . eof () << endl;
    cout << cin . get () << endl;
    cout << cin . eof () << endl;
    return 0;
}

example input foobar

example output

 102  111  111  98  97  114  10  -1 end
1
0
0
-1
0

What really bothers me is not that it puts back the -1 for eof, but why doesn't it set back eofbit after the last get()?