Disk quota, df and stat weird behaviour

The aim of this article is to understand where the numbers that are shown by stat/df utils in container come from.

Conventions and notations

Consider typical OpenVZ setup, where ext2 separate file system is mounted on /vz. ext2 is called underlying file system in such situation.

Linux VFS design allows every file system to export to user space the following information concerning disk space (here and further ${subscript}$ is used to specify particular file system type):

• $total_{ext2}$ - total amount of disk space that potentially can be acquired (e.g. HDD capacity)
• $free_{ext2}$ - amount of disk space that is still free
• $avail_{ext2}$ - amount of disk space that is still available for non-root users

Note that not all free blocks can be used by non-root users: some amount of disk space is reserved for root. For example on ext2 file system only root can use last free 5 percent (by default) of disk space. This is the difference between $avail_{ext2}$ and $free_{ext2}$. Also note, that the following inequality is always true:

$avail_{ext2}\leq free_{ext2}$ (1)

Inside a container, a special file system type is used, called simfs. This file system allows to isolate a particular CT from other CTs. Hence, when df or stat utilities are invoked, they get information from simfs, which exports the following values (by analogy with ext2):

• $total_{simfs}$
• $free_{simfs}$
• $avail_{simfs}$

This article is in fact devoted to how simfs file system calculates the values above.

To produce any calculations, input data are required. What are input data for simfs? Aside from already mentioned information from underlying file system ($total_{ext2}$, $total_{ext2}$, $total_{ext2}$), one more element comes into force in OpenVZ environment. It is OpenVZ per-container disk quotas. The values that provide this element are:

• $quota_{used}$ - the number of blocks currently used by a CT
• $quota_{barrier}$ - the number of blocks this CT can potentially obtain

OpenVZ disk quota counts the number of blocks currently used by a CT and prevents this number to be greater than the limit/barrier set.

Cases

Consider three basic possible scenarios.

Quota is off for CT

If quota is off for a CT (DISK_QUOTA=no), the total amount of space that this CT potentially can acquire equals the amount of total space on a partition. Certainly some space can be used by other CTs, but potentially a CT can have all the space on device. So, the number of free blocks for the CT equals the number of free blocks on partition. Note it implies that a CT root user can fill in all the space, including the space reserved for root user of the host system. This is why one should not reside CTs private areas on root file system of your host system. The amount of available disk space for CT equals the number of available blocks for the underlying file system. Thus, we have the following relationships:

$total_{simfs}$ = $total_{ext2}$

$free_{simfs}$ = $free_{ext2}$

$avail_{simfs}=avail_{ext2}$

Rather valuable disadvantage of switching off OpenVZ quota (besides having unlimited CTs) is that you will not be able to get information about how much disk space is used by a CT (without doing possibly long term du command) using df/stat. I mean, that

$df_{usage}=total_{simfs}-free_{simfs}=total_{ext2}-free_{ext2},$

thus in the CT you obtain information about disk usage of partition, but not disk usage of the CT.

Quota is on for CT, and there is enough space on partition

If disk quota is on, the amount of disk space that a CT can potentially acquire should be equal to the quota barrier:

$total_{simfs}=quota_{barrier}$

The amount of free space in this case should logically be:

$free_{simfs}=quota_{barrier}-quota_{used}$

However here is a pitfall. Suppose that the amount of free disk space on the underlying filesystem is less than it is estimated from quota using the formula above, i.e.:

$free_{ext2}<quota_{barrier}-quota_{used}$

Then, definitely, the amount of free disk space reported by simfs should be different. This situation will be examined later; here we assume that there is enough space on partition, i.e

$free_{ext2}\geq quota_{barrier}-quota_{used}$ (2)

As for amount of disk space available for non-root users, if there is enough disk space:

$avail_{ext2}\geq quota_{barrier}-quota_{used}$

then amount of disk space available for non-root users in a CT equals the free space estimated from quota:

$free_{simfs}=quota_{barrier}-quota_{used}$

Quota is on for CT and there is NOT enough space on partition

This is the most interesting and difficult to explain case. Nevertheless I tried to do it. So, our assumption is that: $quota_{barrier}-quota_{used}>free_{ext2}$ What should be reported as free space in such case? Of course, $free_{ext2}$! This is the actual amount of space that can be used by a CT. Hence: $free_{simfs}=free_{ext2}$ Now consider the following situation. There are two containers. First CT writes nothing to disk. Second CT writes something to the disk. An administrator of CT #1 looks at df output, noting the "Usage" column. What does she see? $df_{usage}=total_{simfs}-free_{simfs}=total_{simfs}-free_{ext2}$ (3) $free_{ext2}$ decreases because CT #2 writes to disk, consequently $df_{usage}$ increases! “What the hell is going on?!”, — thinks the administrator: “Nobody writes to the disk [in my container], but the usage increases”! To avoid such a situation, the following approach is used in OpenVZ: decrease $total_{simfs}$, so that $df_{usage}$ remains the same, i.e.: $total_{simfs}=quota_{usage}+free_{ext2}$ (4) By substituting (4) to (3), we get: $df_{usage}=total_{simfs}-free_{simfs}=quota_{usage}+free_{ext2}-free_{ext2}=quota_{usage}=const$ In this case, administrator of CT #1 sees that total amount of space decreases, but usage however is constant. The same reason as with $free_{simfs}$ fits for calculating $avail_{s}imfs$. Two cases are possible. If $avail_{ext2}\geq quota_{barrier}-quota_{used}$ then $avail_{simfs}=free_{ext2}$ and if $avail_{ext2}<quota_{barrier}-quota_{used}$ then $avail_{simfs}=quota_{barrier}-quota_{used}$ The table below summarizes all possible cases.

Cases Conclusion

So there are three basic variants. Variant number one is not good, because a container's administrator can not get information about CT disk usage and the host system administrator can't limit CT disk usage. Variant three is not good because we have some weird (but logical) values in df/stat output in CT, e.g. total disk space can decrease. Variant two is perfect. How can we make sure that this variant always take place? Here is the simple rule:

Warning: Do not set random disk quota barrier/limit!

Even if you want a container to be unlimited, consider reasonable values. Use the following formula:

$\sum _{i=1}^{N}q_{i}\leq S-s$ (5)

Here $q_{i}$ is quota barrier for CT$i$,
$S$ — total amount of space on underlying file system
$s$ — amount of space used by everything else than CT private area: templates, locks, etc.

Note that if you install a template, you decrease $s$. This is bad because, ideally, after each template installation you have to check inequality (5). To avoid this I suggest to mount separate partition on /vz/private, rather than on /vz. In such case $s$ always equals $0$.

Cases Summarizing Table

Quota off		$total_{simfs}=total_{ext2}$ $free_{simfs}=free_{ext2}$ $avail_{simfs}=avail_{ext2}$
Quota on	$free_{ext2}\geq quota_{limit}-quota_{used}$ $avail_{ext2}\geq quota_{limit}-quota_{used}$	$total_{simfs}=quota_{barrier}$ $free_{simfs}=quota_{limit}-quota_{used}$ $avail_{simfs}=quota_{limit}-quota_{used}$
	$free_{ext2}\geq quota_{limit}-quota_{used}$ $avail_{ext2}\leq quota_{limit}-quota_{used}$	$total_{simfs}=quota_{barrier}$ $free_{simfs}=quota_{limit}-quota_{used}$ $avail_{simfs}=avail_{ext2}$
	$free_{ext2}\leq quota_{limit}-quota_{used}$ $avail_{ext2}\leq quota_{limit}-quota_{used}$	$total_{simfs}=quota_{usage}+free_{ext2}$ $free_{simfs}=free_{ext2}$ $avail_{simfs}=avail_{ext2}$

Other reasons of strange numbers

At the moment I see only two more reasons why numbers in df/stat output can confuse you.

1. The quota is inconsistent. This can happen if you turned quota off for some time, if you wrote directly to private area (/vz/private), but not through simfs, etc. When you have doubts whether your quota is consistent or not, just drop quota (vzquota drop <ctid>, where <ctid> is the id of a stopped CT). While starting CT, vzctl will automatically initialize quota.
2. Unsupported underlying filesystem. Currently OpenVZ quota only supports ext2 and ext3. With other file system types you can have unpredictable results. Praemonitus praemunitus!

TODO

TODO: Add examples with stat/df