radix-tree: introduce radix_tree_empty

radix-tree: introduce radix_tree_empty

Commit a1123e170f75 ("radix_tree: add support for multi-order entries")
left the impression that the support for multiorder radix tree entries
was functional.  As soon as Ross tried to use it, it became apparent
that my testing was completely inadequate, and it didn't even work a
little bit for orders that were not a multiple of shift.

This series of patches is the result of about 6 weeks of redesign,
reimplementation, testing, arguing and hair-pulling.  The great news is
that the test-suite is now far better than it was.  That's reflected in
the diffstat for the test-suite alone:

 12 files changed, 436 insertions(+), 28 deletions(-)

The highlight for users of the tree is that the restriction on the order
of inserted entries being >= RADIX_TREE_MAP_SHIFT is now gone; the radix
tree now supports any order between 0 and 64.

For those who are interested in how the tree works, patch 9 is probably
the most interesting one as it introduces the new machinery for handling
sibling entries.

I've tried to be fair in attributing authorship to the person who
contributed the majority of the code in each patch; Ross has been an
invaluable partner in the development of this support and it's fair to
say that each of us has code in every commit.

I should also express my appreciation of the 0day testing.  It prompted
me that I was bloating the tinyconfig in an unacceptable way, and it
bisected to a commit which contained a rather nasty memory-corruption
bug.

This patch (of 29):

The irqdomain code was checking for 0 or 1 entries, not 0 entries like
the comment said they were.  Introduce a new helper that will actually
check for an empty tree.

Signed-off-by: Matthew Wilcox <willy@linux.intel.com>
Reviewed-by: Ross Zwisler <ross.zwisler@linux.intel.com>
Reviewed-by: Jan Kara <jack@suse.cz>
Cc: Konstantin Khlebnikov <koct9i@gmail.com>
Cc: Kirill Shutemov <kirill.shutemov@linux.intel.com>
Cc: Neil Brown <neilb@suse.de>
Signed-off-by: Andrew Morton <akpm@linux-foundation.org>
Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>