Normally you don't use eof but rather check the return value of whatever you're using to read the filehandle. Usually that's the diamond operator (<>, aka readline):

open my $filehandle, "<", $filename or die "Oof! $!";
while (<$filehandle>) {
  do_something();
}
close $filehandle;
do_something_else()
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When the conditional of the while becomes false, then there are no more lines to read and you've reached the end of the file and in your case do_something_else looks like it should display a message.