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- Runtime locking correctness validator
- =====================================
- started by Ingo Molnar <[email protected]>
- additions by Arjan van de Ven <[email protected]>
- Lock-class
- ----------
- The basic object the validator operates upon is a 'class' of locks.
- A class of locks is a group of locks that are logically the same with
- respect to locking rules, even if the locks may have multiple (possibly
- tens of thousands of) instantiations. For example a lock in the inode
- struct is one class, while each inode has its own instantiation of that
- lock class.
- The validator tracks the 'usage state' of lock-classes, and it tracks
- the dependencies between different lock-classes. Lock usage indicates
- how a lock is used with regard to its IRQ contexts, while lock
- dependency can be understood as lock order, where L1 -> L2 suggests that
- a task is attempting to acquire L2 while holding L1. From lockdep's
- perspective, the two locks (L1 and L2) are not necessarily related; that
- dependency just means the order ever happened. The validator maintains a
- continuing effort to prove lock usages and dependencies are correct or
- the validator will shoot a splat if incorrect.
- A lock-class's behavior is constructed by its instances collectively:
- when the first instance of a lock-class is used after bootup the class
- gets registered, then all (subsequent) instances will be mapped to the
- class and hence their usages and dependecies will contribute to those of
- the class. A lock-class does not go away when a lock instance does, but
- it can be removed if the memory space of the lock class (static or
- dynamic) is reclaimed, this happens for example when a module is
- unloaded or a workqueue is destroyed.
- State
- -----
- The validator tracks lock-class usage history and divides the usage into
- (4 usages * n STATEs + 1) categories:
- where the 4 usages can be:
- - 'ever held in STATE context'
- - 'ever held as readlock in STATE context'
- - 'ever held with STATE enabled'
- - 'ever held as readlock with STATE enabled'
- where the n STATEs are coded in kernel/locking/lockdep_states.h and as of
- now they include:
- - hardirq
- - softirq
- where the last 1 category is:
- - 'ever used' [ == !unused ]
- When locking rules are violated, these usage bits are presented in the
- locking error messages, inside curlies, with a total of 2 * n STATEs bits.
- A contrived example::
- modprobe/2287 is trying to acquire lock:
- (&sio_locks[i].lock){-.-.}, at: [<c02867fd>] mutex_lock+0x21/0x24
- but task is already holding lock:
- (&sio_locks[i].lock){-.-.}, at: [<c02867fd>] mutex_lock+0x21/0x24
- For a given lock, the bit positions from left to right indicate the usage
- of the lock and readlock (if exists), for each of the n STATEs listed
- above respectively, and the character displayed at each bit position
- indicates:
- === ===================================================
- '.' acquired while irqs disabled and not in irq context
- '-' acquired in irq context
- '+' acquired with irqs enabled
- '?' acquired in irq context with irqs enabled.
- === ===================================================
- The bits are illustrated with an example::
- (&sio_locks[i].lock){-.-.}, at: [<c02867fd>] mutex_lock+0x21/0x24
- ||||
- ||| \-> softirq disabled and not in softirq context
- || \--> acquired in softirq context
- | \---> hardirq disabled and not in hardirq context
- \----> acquired in hardirq context
- For a given STATE, whether the lock is ever acquired in that STATE
- context and whether that STATE is enabled yields four possible cases as
- shown in the table below. The bit character is able to indicate which
- exact case is for the lock as of the reporting time.
- +--------------+-------------+--------------+
- | | irq enabled | irq disabled |
- +--------------+-------------+--------------+
- | ever in irq | '?' | '-' |
- +--------------+-------------+--------------+
- | never in irq | '+' | '.' |
- +--------------+-------------+--------------+
- The character '-' suggests irq is disabled because if otherwise the
- charactor '?' would have been shown instead. Similar deduction can be
- applied for '+' too.
- Unused locks (e.g., mutexes) cannot be part of the cause of an error.
- Single-lock state rules:
- ------------------------
- A lock is irq-safe means it was ever used in an irq context, while a lock
- is irq-unsafe means it was ever acquired with irq enabled.
- A softirq-unsafe lock-class is automatically hardirq-unsafe as well. The
- following states must be exclusive: only one of them is allowed to be set
- for any lock-class based on its usage::
- <hardirq-safe> or <hardirq-unsafe>
- <softirq-safe> or <softirq-unsafe>
- This is because if a lock can be used in irq context (irq-safe) then it
- cannot be ever acquired with irq enabled (irq-unsafe). Otherwise, a
- deadlock may happen. For example, in the scenario that after this lock
- was acquired but before released, if the context is interrupted this
- lock will be attempted to acquire twice, which creates a deadlock,
- referred to as lock recursion deadlock.
- The validator detects and reports lock usage that violates these
- single-lock state rules.
- Multi-lock dependency rules:
- ----------------------------
- The same lock-class must not be acquired twice, because this could lead
- to lock recursion deadlocks.
- Furthermore, two locks can not be taken in inverse order::
- <L1> -> <L2>
- <L2> -> <L1>
- because this could lead to a deadlock - referred to as lock inversion
- deadlock - as attempts to acquire the two locks form a circle which
- could lead to the two contexts waiting for each other permanently. The
- validator will find such dependency circle in arbitrary complexity,
- i.e., there can be any other locking sequence between the acquire-lock
- operations; the validator will still find whether these locks can be
- acquired in a circular fashion.
- Furthermore, the following usage based lock dependencies are not allowed
- between any two lock-classes::
- <hardirq-safe> -> <hardirq-unsafe>
- <softirq-safe> -> <softirq-unsafe>
- The first rule comes from the fact that a hardirq-safe lock could be
- taken by a hardirq context, interrupting a hardirq-unsafe lock - and
- thus could result in a lock inversion deadlock. Likewise, a softirq-safe
- lock could be taken by an softirq context, interrupting a softirq-unsafe
- lock.
- The above rules are enforced for any locking sequence that occurs in the
- kernel: when acquiring a new lock, the validator checks whether there is
- any rule violation between the new lock and any of the held locks.
- When a lock-class changes its state, the following aspects of the above
- dependency rules are enforced:
- - if a new hardirq-safe lock is discovered, we check whether it
- took any hardirq-unsafe lock in the past.
- - if a new softirq-safe lock is discovered, we check whether it took
- any softirq-unsafe lock in the past.
- - if a new hardirq-unsafe lock is discovered, we check whether any
- hardirq-safe lock took it in the past.
- - if a new softirq-unsafe lock is discovered, we check whether any
- softirq-safe lock took it in the past.
- (Again, we do these checks too on the basis that an interrupt context
- could interrupt _any_ of the irq-unsafe or hardirq-unsafe locks, which
- could lead to a lock inversion deadlock - even if that lock scenario did
- not trigger in practice yet.)
- Exception: Nested data dependencies leading to nested locking
- -------------------------------------------------------------
- There are a few cases where the Linux kernel acquires more than one
- instance of the same lock-class. Such cases typically happen when there
- is some sort of hierarchy within objects of the same type. In these
- cases there is an inherent "natural" ordering between the two objects
- (defined by the properties of the hierarchy), and the kernel grabs the
- locks in this fixed order on each of the objects.
- An example of such an object hierarchy that results in "nested locking"
- is that of a "whole disk" block-dev object and a "partition" block-dev
- object; the partition is "part of" the whole device and as long as one
- always takes the whole disk lock as a higher lock than the partition
- lock, the lock ordering is fully correct. The validator does not
- automatically detect this natural ordering, as the locking rule behind
- the ordering is not static.
- In order to teach the validator about this correct usage model, new
- versions of the various locking primitives were added that allow you to
- specify a "nesting level". An example call, for the block device mutex,
- looks like this::
- enum bdev_bd_mutex_lock_class
- {
- BD_MUTEX_NORMAL,
- BD_MUTEX_WHOLE,
- BD_MUTEX_PARTITION
- };
- mutex_lock_nested(&bdev->bd_contains->bd_mutex, BD_MUTEX_PARTITION);
- In this case the locking is done on a bdev object that is known to be a
- partition.
- The validator treats a lock that is taken in such a nested fashion as a
- separate (sub)class for the purposes of validation.
- Note: When changing code to use the _nested() primitives, be careful and
- check really thoroughly that the hierarchy is correctly mapped; otherwise
- you can get false positives or false negatives.
- Annotations
- -----------
- Two constructs can be used to annotate and check where and if certain locks
- must be held: lockdep_assert_held*(&lock) and lockdep_*pin_lock(&lock).
- As the name suggests, lockdep_assert_held* family of macros assert that a
- particular lock is held at a certain time (and generate a WARN() otherwise).
- This annotation is largely used all over the kernel, e.g. kernel/sched/
- core.c::
- void update_rq_clock(struct rq *rq)
- {
- s64 delta;
- lockdep_assert_held(&rq->lock);
- [...]
- }
- where holding rq->lock is required to safely update a rq's clock.
- The other family of macros is lockdep_*pin_lock(), which is admittedly only
- used for rq->lock ATM. Despite their limited adoption these annotations
- generate a WARN() if the lock of interest is "accidentally" unlocked. This turns
- out to be especially helpful to debug code with callbacks, where an upper
- layer assumes a lock remains taken, but a lower layer thinks it can maybe drop
- and reacquire the lock ("unwittingly" introducing races). lockdep_pin_lock()
- returns a 'struct pin_cookie' that is then used by lockdep_unpin_lock() to check
- that nobody tampered with the lock, e.g. kernel/sched/sched.h::
- static inline void rq_pin_lock(struct rq *rq, struct rq_flags *rf)
- {
- rf->cookie = lockdep_pin_lock(&rq->lock);
- [...]
- }
- static inline void rq_unpin_lock(struct rq *rq, struct rq_flags *rf)
- {
- [...]
- lockdep_unpin_lock(&rq->lock, rf->cookie);
- }
- While comments about locking requirements might provide useful information,
- the runtime checks performed by annotations are invaluable when debugging
- locking problems and they carry the same level of details when inspecting
- code. Always prefer annotations when in doubt!
- Proof of 100% correctness:
- --------------------------
- The validator achieves perfect, mathematical 'closure' (proof of locking
- correctness) in the sense that for every simple, standalone single-task
- locking sequence that occurred at least once during the lifetime of the
- kernel, the validator proves it with a 100% certainty that no
- combination and timing of these locking sequences can cause any class of
- lock related deadlock. [1]_
- I.e. complex multi-CPU and multi-task locking scenarios do not have to
- occur in practice to prove a deadlock: only the simple 'component'
- locking chains have to occur at least once (anytime, in any
- task/context) for the validator to be able to prove correctness. (For
- example, complex deadlocks that would normally need more than 3 CPUs and
- a very unlikely constellation of tasks, irq-contexts and timings to
- occur, can be detected on a plain, lightly loaded single-CPU system as
- well!)
- This radically decreases the complexity of locking related QA of the
- kernel: what has to be done during QA is to trigger as many "simple"
- single-task locking dependencies in the kernel as possible, at least
- once, to prove locking correctness - instead of having to trigger every
- possible combination of locking interaction between CPUs, combined with
- every possible hardirq and softirq nesting scenario (which is impossible
- to do in practice).
- .. [1]
- assuming that the validator itself is 100% correct, and no other
- part of the system corrupts the state of the validator in any way.
- We also assume that all NMI/SMM paths [which could interrupt
- even hardirq-disabled codepaths] are correct and do not interfere
- with the validator. We also assume that the 64-bit 'chain hash'
- value is unique for every lock-chain in the system. Also, lock
- recursion must not be higher than 20.
- Performance:
- ------------
- The above rules require **massive** amounts of runtime checking. If we did
- that for every lock taken and for every irqs-enable event, it would
- render the system practically unusably slow. The complexity of checking
- is O(N^2), so even with just a few hundred lock-classes we'd have to do
- tens of thousands of checks for every event.
- This problem is solved by checking any given 'locking scenario' (unique
- sequence of locks taken after each other) only once. A simple stack of
- held locks is maintained, and a lightweight 64-bit hash value is
- calculated, which hash is unique for every lock chain. The hash value,
- when the chain is validated for the first time, is then put into a hash
- table, which hash-table can be checked in a lockfree manner. If the
- locking chain occurs again later on, the hash table tells us that we
- don't have to validate the chain again.
- Troubleshooting:
- ----------------
- The validator tracks a maximum of MAX_LOCKDEP_KEYS number of lock classes.
- Exceeding this number will trigger the following lockdep warning::
- (DEBUG_LOCKS_WARN_ON(id >= MAX_LOCKDEP_KEYS))
- By default, MAX_LOCKDEP_KEYS is currently set to 8191, and typical
- desktop systems have less than 1,000 lock classes, so this warning
- normally results from lock-class leakage or failure to properly
- initialize locks. These two problems are illustrated below:
- 1. Repeated module loading and unloading while running the validator
- will result in lock-class leakage. The issue here is that each
- load of the module will create a new set of lock classes for
- that module's locks, but module unloading does not remove old
- classes (see below discussion of reuse of lock classes for why).
- Therefore, if that module is loaded and unloaded repeatedly,
- the number of lock classes will eventually reach the maximum.
- 2. Using structures such as arrays that have large numbers of
- locks that are not explicitly initialized. For example,
- a hash table with 8192 buckets where each bucket has its own
- spinlock_t will consume 8192 lock classes -unless- each spinlock
- is explicitly initialized at runtime, for example, using the
- run-time spin_lock_init() as opposed to compile-time initializers
- such as __SPIN_LOCK_UNLOCKED(). Failure to properly initialize
- the per-bucket spinlocks would guarantee lock-class overflow.
- In contrast, a loop that called spin_lock_init() on each lock
- would place all 8192 locks into a single lock class.
- The moral of this story is that you should always explicitly
- initialize your locks.
- One might argue that the validator should be modified to allow
- lock classes to be reused. However, if you are tempted to make this
- argument, first review the code and think through the changes that would
- be required, keeping in mind that the lock classes to be removed are
- likely to be linked into the lock-dependency graph. This turns out to
- be harder to do than to say.
- Of course, if you do run out of lock classes, the next thing to do is
- to find the offending lock classes. First, the following command gives
- you the number of lock classes currently in use along with the maximum::
- grep "lock-classes" /proc/lockdep_stats
- This command produces the following output on a modest system::
- lock-classes: 748 [max: 8191]
- If the number allocated (748 above) increases continually over time,
- then there is likely a leak. The following command can be used to
- identify the leaking lock classes::
- grep "BD" /proc/lockdep
- Run the command and save the output, then compare against the output from
- a later run of this command to identify the leakers. This same output
- can also help you find situations where runtime lock initialization has
- been omitted.
- Recursive read locks:
- ---------------------
- The whole of the rest document tries to prove a certain type of cycle is equivalent
- to deadlock possibility.
- There are three types of lockers: writers (i.e. exclusive lockers, like
- spin_lock() or write_lock()), non-recursive readers (i.e. shared lockers, like
- down_read()) and recursive readers (recursive shared lockers, like rcu_read_lock()).
- And we use the following notations of those lockers in the rest of the document:
- W or E: stands for writers (exclusive lockers).
- r: stands for non-recursive readers.
- R: stands for recursive readers.
- S: stands for all readers (non-recursive + recursive), as both are shared lockers.
- N: stands for writers and non-recursive readers, as both are not recursive.
- Obviously, N is "r or W" and S is "r or R".
- Recursive readers, as their name indicates, are the lockers allowed to acquire
- even inside the critical section of another reader of the same lock instance,
- in other words, allowing nested read-side critical sections of one lock instance.
- While non-recursive readers will cause a self deadlock if trying to acquire inside
- the critical section of another reader of the same lock instance.
- The difference between recursive readers and non-recursive readers is because:
- recursive readers get blocked only by a write lock *holder*, while non-recursive
- readers could get blocked by a write lock *waiter*. Considering the follow
- example::
- TASK A: TASK B:
- read_lock(X);
- write_lock(X);
- read_lock_2(X);
- Task A gets the reader (no matter whether recursive or non-recursive) on X via
- read_lock() first. And when task B tries to acquire writer on X, it will block
- and become a waiter for writer on X. Now if read_lock_2() is recursive readers,
- task A will make progress, because writer waiters don't block recursive readers,
- and there is no deadlock. However, if read_lock_2() is non-recursive readers,
- it will get blocked by writer waiter B, and cause a self deadlock.
- Block conditions on readers/writers of the same lock instance:
- --------------------------------------------------------------
- There are simply four block conditions:
- 1. Writers block other writers.
- 2. Readers block writers.
- 3. Writers block both recursive readers and non-recursive readers.
- 4. And readers (recursive or not) don't block other recursive readers but
- may block non-recursive readers (because of the potential co-existing
- writer waiters)
- Block condition matrix, Y means the row blocks the column, and N means otherwise.
- +---+---+---+---+
- | | W | r | R |
- +---+---+---+---+
- | W | Y | Y | Y |
- +---+---+---+---+
- | r | Y | Y | N |
- +---+---+---+---+
- | R | Y | Y | N |
- +---+---+---+---+
- (W: writers, r: non-recursive readers, R: recursive readers)
- acquired recursively. Unlike non-recursive read locks, recursive read locks
- only get blocked by current write lock *holders* other than write lock
- *waiters*, for example::
- TASK A: TASK B:
- read_lock(X);
- write_lock(X);
- read_lock(X);
- is not a deadlock for recursive read locks, as while the task B is waiting for
- the lock X, the second read_lock() doesn't need to wait because it's a recursive
- read lock. However if the read_lock() is non-recursive read lock, then the above
- case is a deadlock, because even if the write_lock() in TASK B cannot get the
- lock, but it can block the second read_lock() in TASK A.
- Note that a lock can be a write lock (exclusive lock), a non-recursive read
- lock (non-recursive shared lock) or a recursive read lock (recursive shared
- lock), depending on the lock operations used to acquire it (more specifically,
- the value of the 'read' parameter for lock_acquire()). In other words, a single
- lock instance has three types of acquisition depending on the acquisition
- functions: exclusive, non-recursive read, and recursive read.
- To be concise, we call that write locks and non-recursive read locks as
- "non-recursive" locks and recursive read locks as "recursive" locks.
- Recursive locks don't block each other, while non-recursive locks do (this is
- even true for two non-recursive read locks). A non-recursive lock can block the
- corresponding recursive lock, and vice versa.
- A deadlock case with recursive locks involved is as follow::
- TASK A: TASK B:
- read_lock(X);
- read_lock(Y);
- write_lock(Y);
- write_lock(X);
- Task A is waiting for task B to read_unlock() Y and task B is waiting for task
- A to read_unlock() X.
- Dependency types and strong dependency paths:
- ---------------------------------------------
- Lock dependencies record the orders of the acquisitions of a pair of locks, and
- because there are 3 types for lockers, there are, in theory, 9 types of lock
- dependencies, but we can show that 4 types of lock dependencies are enough for
- deadlock detection.
- For each lock dependency::
- L1 -> L2
- , which means lockdep has seen L1 held before L2 held in the same context at runtime.
- And in deadlock detection, we care whether we could get blocked on L2 with L1 held,
- IOW, whether there is a locker L3 that L1 blocks L3 and L2 gets blocked by L3. So
- we only care about 1) what L1 blocks and 2) what blocks L2. As a result, we can combine
- recursive readers and non-recursive readers for L1 (as they block the same types) and
- we can combine writers and non-recursive readers for L2 (as they get blocked by the
- same types).
- With the above combination for simplification, there are 4 types of dependency edges
- in the lockdep graph:
- 1) -(ER)->:
- exclusive writer to recursive reader dependency, "X -(ER)-> Y" means
- X -> Y and X is a writer and Y is a recursive reader.
- 2) -(EN)->:
- exclusive writer to non-recursive locker dependency, "X -(EN)-> Y" means
- X -> Y and X is a writer and Y is either a writer or non-recursive reader.
- 3) -(SR)->:
- shared reader to recursive reader dependency, "X -(SR)-> Y" means
- X -> Y and X is a reader (recursive or not) and Y is a recursive reader.
- 4) -(SN)->:
- shared reader to non-recursive locker dependency, "X -(SN)-> Y" means
- X -> Y and X is a reader (recursive or not) and Y is either a writer or
- non-recursive reader.
- Note that given two locks, they may have multiple dependencies between them,
- for example::
- TASK A:
- read_lock(X);
- write_lock(Y);
- ...
- TASK B:
- write_lock(X);
- write_lock(Y);
- , we have both X -(SN)-> Y and X -(EN)-> Y in the dependency graph.
- We use -(xN)-> to represent edges that are either -(EN)-> or -(SN)->, the
- similar for -(Ex)->, -(xR)-> and -(Sx)->
- A "path" is a series of conjunct dependency edges in the graph. And we define a
- "strong" path, which indicates the strong dependency throughout each dependency
- in the path, as the path that doesn't have two conjunct edges (dependencies) as
- -(xR)-> and -(Sx)->. In other words, a "strong" path is a path from a lock
- walking to another through the lock dependencies, and if X -> Y -> Z is in the
- path (where X, Y, Z are locks), and the walk from X to Y is through a -(SR)-> or
- -(ER)-> dependency, the walk from Y to Z must not be through a -(SN)-> or
- -(SR)-> dependency.
- We will see why the path is called "strong" in next section.
- Recursive Read Deadlock Detection:
- ----------------------------------
- We now prove two things:
- Lemma 1:
- If there is a closed strong path (i.e. a strong circle), then there is a
- combination of locking sequences that causes deadlock. I.e. a strong circle is
- sufficient for deadlock detection.
- Lemma 2:
- If there is no closed strong path (i.e. strong circle), then there is no
- combination of locking sequences that could cause deadlock. I.e. strong
- circles are necessary for deadlock detection.
- With these two Lemmas, we can easily say a closed strong path is both sufficient
- and necessary for deadlocks, therefore a closed strong path is equivalent to
- deadlock possibility. As a closed strong path stands for a dependency chain that
- could cause deadlocks, so we call it "strong", considering there are dependency
- circles that won't cause deadlocks.
- Proof for sufficiency (Lemma 1):
- Let's say we have a strong circle::
- L1 -> L2 ... -> Ln -> L1
- , which means we have dependencies::
- L1 -> L2
- L2 -> L3
- ...
- Ln-1 -> Ln
- Ln -> L1
- We now can construct a combination of locking sequences that cause deadlock:
- Firstly let's make one CPU/task get the L1 in L1 -> L2, and then another get
- the L2 in L2 -> L3, and so on. After this, all of the Lx in Lx -> Lx+1 are
- held by different CPU/tasks.
- And then because we have L1 -> L2, so the holder of L1 is going to acquire L2
- in L1 -> L2, however since L2 is already held by another CPU/task, plus L1 ->
- L2 and L2 -> L3 are not -(xR)-> and -(Sx)-> (the definition of strong), which
- means either L2 in L1 -> L2 is a non-recursive locker (blocked by anyone) or
- the L2 in L2 -> L3, is writer (blocking anyone), therefore the holder of L1
- cannot get L2, it has to wait L2's holder to release.
- Moreover, we can have a similar conclusion for L2's holder: it has to wait L3's
- holder to release, and so on. We now can prove that Lx's holder has to wait for
- Lx+1's holder to release, and note that Ln+1 is L1, so we have a circular
- waiting scenario and nobody can get progress, therefore a deadlock.
- Proof for necessary (Lemma 2):
- Lemma 2 is equivalent to: If there is a deadlock scenario, then there must be a
- strong circle in the dependency graph.
- According to Wikipedia[1], if there is a deadlock, then there must be a circular
- waiting scenario, means there are N CPU/tasks, where CPU/task P1 is waiting for
- a lock held by P2, and P2 is waiting for a lock held by P3, ... and Pn is waiting
- for a lock held by P1. Let's name the lock Px is waiting as Lx, so since P1 is waiting
- for L1 and holding Ln, so we will have Ln -> L1 in the dependency graph. Similarly,
- we have L1 -> L2, L2 -> L3, ..., Ln-1 -> Ln in the dependency graph, which means we
- have a circle::
- Ln -> L1 -> L2 -> ... -> Ln
- , and now let's prove the circle is strong:
- For a lock Lx, Px contributes the dependency Lx-1 -> Lx and Px+1 contributes
- the dependency Lx -> Lx+1, and since Px is waiting for Px+1 to release Lx,
- so it's impossible that Lx on Px+1 is a reader and Lx on Px is a recursive
- reader, because readers (no matter recursive or not) don't block recursive
- readers, therefore Lx-1 -> Lx and Lx -> Lx+1 cannot be a -(xR)-> -(Sx)-> pair,
- and this is true for any lock in the circle, therefore, the circle is strong.
- References:
- -----------
- [1]: https://en.wikipedia.org/wiki/Deadlock
- [2]: Shibu, K. (2009). Intro To Embedded Systems (1st ed.). Tata McGraw-Hill
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