In the man ext4(5) we can read the following:
Warning: The bigalloc feature is still under development,
and may not be fully supported with your kernel or may
have various bugs. Please see the web page
http://ext4.wiki.kernel.org/index.php/Bigalloc for details.
May clash with delayed allocation (see nodelalloc mount
option).
According to the link above, the info is dated back to 2013,
which is a little bit ancient.
What's the current status of the feature? Is it safe to use
bigalloc on several TiB hard disks where only big files will be
stored?