What you are describing sounds like a merge sort, and there is a module
File::MergeSort designed for that. It takes a list of files at once along with a key extraction subroutine.
I'm sure there's a straightforward way to implement the getFilename operation, if only by tinkering with the File::MergeSort code.
# Mostly extracted from the documentation. I have not tried it.
use File::MergeSort;
my $sort = new File::MergeSort(
\@file_list,
\&index_extract_function
);
my $line;
while (defined($line = $sort->next_line)) {
my $fname = getFilename();
print "$line/$fname\n";
}
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