xfs: fix off-by-one error in xfs_btree_space_to_height

Lately I've been stress-testing extreme-sized rmap btrees by using the
(new) xfs_db bmap_inflate command to clone bmbt mappings billions of
times and then using xfs_repair to build new rmap and refcount btrees.
This of course is /much/ faster than actually FICLONEing a file billions
of times.

Unfortunately, xfs_repair fails in xfs_btree_bload_compute_geometry with
EOVERFLOW, which indicates that xfs_mount.m_rmap_maxlevels is not
sufficiently large for the test scenario.  For a 1TB filesystem (~67
million AG blocks, 4 AGs) the btheight command reports:

$ xfs_db -c 'btheight -n 4400801200 -w min rmapbt' /dev/sda
rmapbt: worst case per 4096-byte block: 84 records (leaf) / 45 keyptrs (node)
level 0: 4400801200 records, 52390491 blocks
level 1: 52390491 records, 1164234 blocks
level 2: 1164234 records, 25872 blocks
level 3: 25872 records, 575 blocks
level 4: 575 records, 13 blocks
level 5: 13 records, 1 block
6 levels, 53581186 blocks total

The AG is sufficiently large to build this rmap btree.  Unfortunately,
m_rmap_maxlevels is 5.  Augmenting the loop in the space->height
function to report height, node blocks, and blocks remaining produces
this:

ht 1 node_blocks 45 blockleft 67108863
ht 2 node_blocks 2025 blockleft 67108818
ht 3 node_blocks 91125 blockleft 67106793
ht 4 node_blocks 4100625 blockleft 67015668
final height: 5

The goal of this function is to compute the maximum height btree that
can be stored in the given number of ondisk fsblocks.  Starting with the
top level of the tree, each iteration through the loop adds the fanout
factor of the next level down until we run out of blocks.  IOWs, maximum
height is achieved by using the smallest fanout factor that can apply
to that level.

However, the loop setup is not correct.  Top level btree blocks are
allowed to contain fewer than minrecs items, so the computation is
incorrect because the first time through the loop it should be using a
fanout factor of 2.  With this corrected, the above becomes:

ht 1 node_blocks 2 blockleft 67108863
ht 2 node_blocks 90 blockleft 67108861
ht 3 node_blocks 4050 blockleft 67108771
ht 4 node_blocks 182250 blockleft 67104721
ht 5 node_blocks 8201250 blockleft 66922471
final height: 6

Fixes: 9ec691205e7d ("xfs: compute the maximum height of the rmap btree when reflink enabled")
Signed-off-by: Darrick J. Wong <djwong@kernel.org>
Reviewed-by: Dave Chinner <dchinner@redhat.com>

diff --git a/fs/xfs/libxfs/xfs_btree.c b/fs/xfs/libxfs/xfs_btree.c
index 4c16c8c..35f5744 100644 (file)
--- a/fs/xfs/libxfs/xfs_btree.c
+++ b/fs/xfs/libxfs/xfs_btree.c
@@ -4666,7 +4666,12 @@ xfs_btree_space_to_height(
        const unsigned int      *limits,
        unsigned long long      leaf_blocks)
 {
-       unsigned long long      node_blocks = limits[1];
+       /*
+        * The root btree block can have fewer than minrecs pointers in it
+        * because the tree might not be big enough to require that amount of
+        * fanout. Hence it has a minimum size of 2 pointers, not limits[1].
+        */
+       unsigned long long      node_blocks = 2;
        unsigned long long      blocks_left = leaf_blocks - 1;
        unsigned int            height = 1;