Earlier quoted context omitted.
> My algorithm works with the nlink==1 optimization just as well: just don't put those files into the file list that needs to be sorted, instead copy them immediately or put them into a list that doesn't need sorting. If you do that then your extra storage requirements are now O(paths to inodes with nlinks > 1) which is still strictly higher than O(inodes with nlinks>1). You're also doing two passes, one to enumerate…
> O(paths to inodes with nlinks > 1) .. O(inodes with nlinks>1) Yes, that's right, I ignored that part in the calculation above. By using the filename+parent pointer approach for path compression, that could be improved. (The current version of megacp also stores all necessary stat information (size, uid, gid, perms) in the tempfile to avoid a second stat call; this could be dropped if it makes matters worse.) Also,…
>Using an online algorithm is the whole point, I've been saying that from the start. And I remember that Knuth wrote about them so I conclude that they exist for sort, and I quite expect that GNU sort(1) is already sorting big files efficiently (limited testing seems to confirm that, files several times the size of RAM sort just fine in the low single digit minute count).
The cp algorithm already solves this just fine and my proposed reimplementation on-disk solves the RAM usage problem. You're trying to make a strictly worse algorithm work. It both requires more storage and is heavier than it needs to be (full sort vs just a map). What do you expect to gain from it?