created file is deleted still program not reporting error

See below the simple program
it opens a file for writing
writes one line at time for 199 times and then comes out.
it also checks before every write, whether file is bad or fail.

Problem : What should happen if someone removes the data file ( i.e. "example.txt" ) using ome command, while this program is running.

I have noticed that it keeps running ( on Linux and Solaris ) and does not report either bad() or fail().

This behaviour somewhat looks obivous. My questions are
1) whether C++ provides any , platform independent , functionallity to handle this case? ( I am looking for some api/function not workarounds like close and open file after every operation )
2) Is there anyway to I use fstat() , for fstream ojbect ?

////////////////////////////////////////////////////////////////////
#include <iostream>
#include <fstream>
//#include <unistd.h>
using namespace std;

int main () {
ofstream myfile;
myfile.open ("example.txt");
int i=0;
for( ;; )
{
//sleep(1);
//for loop for delay
for( int ii=0; ii<10000; ii++)
for( int jj=0;jj<10000; jj++);
myfile <<i++<< " Writing this to a file.\n";
myfile.flush();
if( myfile.bad() )
{
cout<<" its bad now "<<i<<endl;
}
else
{
cout<<" not bad "<<i<<endl;
}
if( myfile.fail() )
{
cout<<" its failed now "<<i<<endl;
}
else
{
cout<<" not failed "<<i<<endl;
}

if( i == 199) break;

}
myfile.close();
return 0;
}