efficient access to "rotational"; new fcntl?

[Jim Meyering <jim@meyering.net>]

About a year ago, I fixed GNU rm to avoid quadratic readdir/stat seek
penalties on ext3 and ext4 that became overwhelming on directories with
many entries (1M entries started to look like infloop or DoS).

  From coreutils-7.0 NEWS:

    chgrp, chmod, chown, chcon, du, rm: now all display linear performance,
    even when operating on million-entry directories on ext3 and ext4 file
    systems.  Before, they would exhibit O(N^2) performance, due to linear
    per-entry seek time cost when operating on entries in readdir order.
    Rm was improved directly, while the others inherit the improvement
    from the newer version of fts in gnulib.

To do that efficiently, I changed the core readdir loop (mainly via
gnulib's fts.c) to preprocess entries, when needed, by sorting them
on inode, and *then* processing them.  This optimization is enabled
only when the affected file system is of a type likely to benefit,
and when the number of directory entries is large enough to matter.

However, with e.g., an ext4 partition on non-rotational hardware like
an SSD, that preprocessing is unnecessary and in fact wasted effort.
I'd like to avoid the waste by querying the equivalent of
/sys/.../rotational, via a syscall like fcntl or statvfs,
given a file descriptor.

Is there an efficient way to get that single bit?

IMHO, locating and opening-then-reading a file like
/sys/devices/pci0000:00/0000:00:1f.2/host4/target4:0:0/4:0:0:0/block/sdc/queue/rotational
is not appropriate in the context of a low-level library function like fts.

Jim