1.. SPDX-License-Identifier: GPL-2.0+
2
3======
4XArray
5======
6
7:Author: Matthew Wilcox
8
9Overview
10========
11
12The XArray is an abstract data type which behaves like a very large array
13of pointers.  It meets many of the same needs as a hash or a conventional
14resizable array.  Unlike a hash, it allows you to sensibly go to the
15next or previous entry in a cache-efficient manner.  In contrast to a
16resizable array, there is no need to copy data or change MMU mappings in
17order to grow the array.  It is more memory-efficient, parallelisable
18and cache friendly than a doubly-linked list.  It takes advantage of
19RCU to perform lookups without locking.
20
21The XArray implementation is efficient when the indices used are densely
22clustered; hashing the object and using the hash as the index will not
23perform well.  The XArray is optimised for small indices, but still has
24good performance with large indices.  If your index can be larger than
25``ULONG_MAX`` then the XArray is not the data type for you.  The most
26important user of the XArray is the page cache.
27
28Each non-``NULL`` entry in the array has three bits associated with
29it called marks.  Each mark may be set or cleared independently of
30the others.  You can iterate over entries which are marked.
31
32Normal pointers may be stored in the XArray directly.  They must be 4-byte
33aligned, which is true for any pointer returned from :c:func:`kmalloc` and
34:c:func:`alloc_page`.  It isn't true for arbitrary user-space pointers,
35nor for function pointers.  You can store pointers to statically allocated
36objects, as long as those objects have an alignment of at least 4.
37
38You can also store integers between 0 and ``LONG_MAX`` in the XArray.
39You must first convert it into an entry using :c:func:`xa_mk_value`.
40When you retrieve an entry from the XArray, you can check whether it is
41a value entry by calling :c:func:`xa_is_value`, and convert it back to
42an integer by calling :c:func:`xa_to_value`.
43
44Some users want to store tagged pointers instead of using the marks
45described above.  They can call :c:func:`xa_tag_pointer` to create an
46entry with a tag, :c:func:`xa_untag_pointer` to turn a tagged entry
47back into an untagged pointer and :c:func:`xa_pointer_tag` to retrieve
48the tag of an entry.  Tagged pointers use the same bits that are used
49to distinguish value entries from normal pointers, so each user must
50decide whether they want to store value entries or tagged pointers in
51any particular XArray.
52
53The XArray does not support storing :c:func:`IS_ERR` pointers as some
54conflict with value entries or internal entries.
55
56An unusual feature of the XArray is the ability to create entries which
57occupy a range of indices.  Once stored to, looking up any index in
58the range will return the same entry as looking up any other index in
59the range.  Setting a mark on one index will set it on all of them.
60Storing to any index will store to all of them.  Multi-index entries can
61be explicitly split into smaller entries, or storing ``NULL`` into any
62entry will cause the XArray to forget about the range.
63
64Normal API
65==========
66
67Start by initialising an XArray, either with :c:func:`DEFINE_XARRAY`
68for statically allocated XArrays or :c:func:`xa_init` for dynamically
69allocated ones.  A freshly-initialised XArray contains a ``NULL``
70pointer at every index.
71
72You can then set entries using :c:func:`xa_store` and get entries
73using :c:func:`xa_load`.  xa_store will overwrite any entry with the
74new entry and return the previous entry stored at that index.  You can
75use :c:func:`xa_erase` instead of calling :c:func:`xa_store` with a
76``NULL`` entry.  There is no difference between an entry that has never
77been stored to, one that has been erased and one that has most recently
78had ``NULL`` stored to it.
79
80You can conditionally replace an entry at an index by using
81:c:func:`xa_cmpxchg`.  Like :c:func:`cmpxchg`, it will only succeed if
82the entry at that index has the 'old' value.  It also returns the entry
83which was at that index; if it returns the same entry which was passed as
84'old', then :c:func:`xa_cmpxchg` succeeded.
85
86If you want to only store a new entry to an index if the current entry
87at that index is ``NULL``, you can use :c:func:`xa_insert` which
88returns ``-EEXIST`` if the entry is not empty.
89
90You can enquire whether a mark is set on an entry by using
91:c:func:`xa_get_mark`.  If the entry is not ``NULL``, you can set a mark
92on it by using :c:func:`xa_set_mark` and remove the mark from an entry by
93calling :c:func:`xa_clear_mark`.  You can ask whether any entry in the
94XArray has a particular mark set by calling :c:func:`xa_marked`.
95
96You can copy entries out of the XArray into a plain array by calling
97:c:func:`xa_extract`.  Or you can iterate over the present entries in
98the XArray by calling :c:func:`xa_for_each`.  You may prefer to use
99:c:func:`xa_find` or :c:func:`xa_find_after` to move to the next present
100entry in the XArray.
101
102Calling :c:func:`xa_store_range` stores the same entry in a range
103of indices.  If you do this, some of the other operations will behave
104in a slightly odd way.  For example, marking the entry at one index
105may result in the entry being marked at some, but not all of the other
106indices.  Storing into one index may result in the entry retrieved by
107some, but not all of the other indices changing.
108
109Sometimes you need to ensure that a subsequent call to :c:func:`xa_store`
110will not need to allocate memory.  The :c:func:`xa_reserve` function
111will store a reserved entry at the indicated index.  Users of the normal
112API will see this entry as containing ``NULL``.  If you do not need to
113use the reserved entry, you can call :c:func:`xa_release` to remove the
114unused entry.  If another user has stored to the entry in the meantime,
115:c:func:`xa_release` will do nothing; if instead you want the entry to
116become ``NULL``, you should use :c:func:`xa_erase`.
117
118If all entries in the array are ``NULL``, the :c:func:`xa_empty` function
119will return ``true``.
120
121Finally, you can remove all entries from an XArray by calling
122:c:func:`xa_destroy`.  If the XArray entries are pointers, you may wish
123to free the entries first.  You can do this by iterating over all present
124entries in the XArray using the :c:func:`xa_for_each` iterator.
125
126Allocating XArrays
127------------------
128
129If you use :c:func:`DEFINE_XARRAY_ALLOC` to define the XArray, or
130initialise it by passing ``XA_FLAGS_ALLOC`` to :c:func:`xa_init_flags`,
131the XArray changes to track whether entries are in use or not.
132
133You can call :c:func:`xa_alloc` to store the entry at any unused index
134in the XArray.  If you need to modify the array from interrupt context,
135you can use :c:func:`xa_alloc_bh` or :c:func:`xa_alloc_irq` to disable
136interrupts while allocating the ID.
137
138Using :c:func:`xa_store`, :c:func:`xa_cmpxchg` or :c:func:`xa_insert`
139will mark the entry as being allocated.  Unlike a normal XArray, storing
140``NULL`` will mark the entry as being in use, like :c:func:`xa_reserve`.
141To free an entry, use :c:func:`xa_erase` (or :c:func:`xa_release` if
142you only want to free the entry if it's ``NULL``).
143
144You cannot use ``XA_MARK_0`` with an allocating XArray as this mark
145is used to track whether an entry is free or not.  The other marks are
146available for your use.
147
148Memory allocation
149-----------------
150
151The :c:func:`xa_store`, :c:func:`xa_cmpxchg`, :c:func:`xa_alloc`,
152:c:func:`xa_reserve` and :c:func:`xa_insert` functions take a gfp_t
153parameter in case the XArray needs to allocate memory to store this entry.
154If the entry is being deleted, no memory allocation needs to be performed,
155and the GFP flags specified will be ignored.
156
157It is possible for no memory to be allocatable, particularly if you pass
158a restrictive set of GFP flags.  In that case, the functions return a
159special value which can be turned into an errno using :c:func:`xa_err`.
160If you don't need to know exactly which error occurred, using
161:c:func:`xa_is_err` is slightly more efficient.
162
163Locking
164-------
165
166When using the Normal API, you do not have to worry about locking.
167The XArray uses RCU and an internal spinlock to synchronise access:
168
169No lock needed:
170 * :c:func:`xa_empty`
171 * :c:func:`xa_marked`
172
173Takes RCU read lock:
174 * :c:func:`xa_load`
175 * :c:func:`xa_for_each`
176 * :c:func:`xa_find`
177 * :c:func:`xa_find_after`
178 * :c:func:`xa_extract`
179 * :c:func:`xa_get_mark`
180
181Takes xa_lock internally:
182 * :c:func:`xa_store`
183 * :c:func:`xa_store_bh`
184 * :c:func:`xa_store_irq`
185 * :c:func:`xa_insert`
186 * :c:func:`xa_erase`
187 * :c:func:`xa_erase_bh`
188 * :c:func:`xa_erase_irq`
189 * :c:func:`xa_cmpxchg`
190 * :c:func:`xa_cmpxchg_bh`
191 * :c:func:`xa_cmpxchg_irq`
192 * :c:func:`xa_store_range`
193 * :c:func:`xa_alloc`
194 * :c:func:`xa_alloc_bh`
195 * :c:func:`xa_alloc_irq`
196 * :c:func:`xa_reserve`
197 * :c:func:`xa_reserve_bh`
198 * :c:func:`xa_reserve_irq`
199 * :c:func:`xa_destroy`
200 * :c:func:`xa_set_mark`
201 * :c:func:`xa_clear_mark`
202
203Assumes xa_lock held on entry:
204 * :c:func:`__xa_store`
205 * :c:func:`__xa_insert`
206 * :c:func:`__xa_erase`
207 * :c:func:`__xa_cmpxchg`
208 * :c:func:`__xa_alloc`
209 * :c:func:`__xa_reserve`
210 * :c:func:`__xa_set_mark`
211 * :c:func:`__xa_clear_mark`
212
213If you want to take advantage of the lock to protect the data structures
214that you are storing in the XArray, you can call :c:func:`xa_lock`
215before calling :c:func:`xa_load`, then take a reference count on the
216object you have found before calling :c:func:`xa_unlock`.  This will
217prevent stores from removing the object from the array between looking
218up the object and incrementing the refcount.  You can also use RCU to
219avoid dereferencing freed memory, but an explanation of that is beyond
220the scope of this document.
221
222The XArray does not disable interrupts or softirqs while modifying
223the array.  It is safe to read the XArray from interrupt or softirq
224context as the RCU lock provides enough protection.
225
226If, for example, you want to store entries in the XArray in process
227context and then erase them in softirq context, you can do that this way::
228
229    void foo_init(struct foo *foo)
230    {
231        xa_init_flags(&foo->array, XA_FLAGS_LOCK_BH);
232    }
233
234    int foo_store(struct foo *foo, unsigned long index, void *entry)
235    {
236        int err;
237
238        xa_lock_bh(&foo->array);
239        err = xa_err(__xa_store(&foo->array, index, entry, GFP_KERNEL));
240        if (!err)
241            foo->count++;
242        xa_unlock_bh(&foo->array);
243        return err;
244    }
245
246    /* foo_erase() is only called from softirq context */
247    void foo_erase(struct foo *foo, unsigned long index)
248    {
249        xa_lock(&foo->array);
250        __xa_erase(&foo->array, index);
251        foo->count--;
252        xa_unlock(&foo->array);
253    }
254
255If you are going to modify the XArray from interrupt or softirq context,
256you need to initialise the array using :c:func:`xa_init_flags`, passing
257``XA_FLAGS_LOCK_IRQ`` or ``XA_FLAGS_LOCK_BH``.
258
259The above example also shows a common pattern of wanting to extend the
260coverage of the xa_lock on the store side to protect some statistics
261associated with the array.
262
263Sharing the XArray with interrupt context is also possible, either
264using :c:func:`xa_lock_irqsave` in both the interrupt handler and process
265context, or :c:func:`xa_lock_irq` in process context and :c:func:`xa_lock`
266in the interrupt handler.  Some of the more common patterns have helper
267functions such as :c:func:`xa_store_bh`, :c:func:`xa_store_irq`,
268:c:func:`xa_erase_bh`, :c:func:`xa_erase_irq`, :c:func:`xa_cmpxchg_bh`
269and :c:func:`xa_cmpxchg_irq`.
270
271Sometimes you need to protect access to the XArray with a mutex because
272that lock sits above another mutex in the locking hierarchy.  That does
273not entitle you to use functions like :c:func:`__xa_erase` without taking
274the xa_lock; the xa_lock is used for lockdep validation and will be used
275for other purposes in the future.
276
277The :c:func:`__xa_set_mark` and :c:func:`__xa_clear_mark` functions are also
278available for situations where you look up an entry and want to atomically
279set or clear a mark.  It may be more efficient to use the advanced API
280in this case, as it will save you from walking the tree twice.
281
282Advanced API
283============
284
285The advanced API offers more flexibility and better performance at the
286cost of an interface which can be harder to use and has fewer safeguards.
287No locking is done for you by the advanced API, and you are required
288to use the xa_lock while modifying the array.  You can choose whether
289to use the xa_lock or the RCU lock while doing read-only operations on
290the array.  You can mix advanced and normal operations on the same array;
291indeed the normal API is implemented in terms of the advanced API.  The
292advanced API is only available to modules with a GPL-compatible license.
293
294The advanced API is based around the xa_state.  This is an opaque data
295structure which you declare on the stack using the :c:func:`XA_STATE`
296macro.  This macro initialises the xa_state ready to start walking
297around the XArray.  It is used as a cursor to maintain the position
298in the XArray and let you compose various operations together without
299having to restart from the top every time.
300
301The xa_state is also used to store errors.  You can call
302:c:func:`xas_error` to retrieve the error.  All operations check whether
303the xa_state is in an error state before proceeding, so there's no need
304for you to check for an error after each call; you can make multiple
305calls in succession and only check at a convenient point.  The only
306errors currently generated by the XArray code itself are ``ENOMEM`` and
307``EINVAL``, but it supports arbitrary errors in case you want to call
308:c:func:`xas_set_err` yourself.
309
310If the xa_state is holding an ``ENOMEM`` error, calling :c:func:`xas_nomem`
311will attempt to allocate more memory using the specified gfp flags and
312cache it in the xa_state for the next attempt.  The idea is that you take
313the xa_lock, attempt the operation and drop the lock.  The operation
314attempts to allocate memory while holding the lock, but it is more
315likely to fail.  Once you have dropped the lock, :c:func:`xas_nomem`
316can try harder to allocate more memory.  It will return ``true`` if it
317is worth retrying the operation (i.e. that there was a memory error *and*
318more memory was allocated).  If it has previously allocated memory, and
319that memory wasn't used, and there is no error (or some error that isn't
320``ENOMEM``), then it will free the memory previously allocated.
321
322Internal Entries
323----------------
324
325The XArray reserves some entries for its own purposes.  These are never
326exposed through the normal API, but when using the advanced API, it's
327possible to see them.  Usually the best way to handle them is to pass them
328to :c:func:`xas_retry`, and retry the operation if it returns ``true``.
329
330.. flat-table::
331   :widths: 1 1 6
332
333   * - Name
334     - Test
335     - Usage
336
337   * - Node
338     - :c:func:`xa_is_node`
339     - An XArray node.  May be visible when using a multi-index xa_state.
340
341   * - Sibling
342     - :c:func:`xa_is_sibling`
343     - A non-canonical entry for a multi-index entry.  The value indicates
344       which slot in this node has the canonical entry.
345
346   * - Retry
347     - :c:func:`xa_is_retry`
348     - This entry is currently being modified by a thread which has the
349       xa_lock.  The node containing this entry may be freed at the end
350       of this RCU period.  You should restart the lookup from the head
351       of the array.
352
353   * - Zero
354     - :c:func:`xa_is_zero`
355     - Zero entries appear as ``NULL`` through the Normal API, but occupy
356       an entry in the XArray which can be used to reserve the index for
357       future use.  This is used by allocating XArrays for allocated entries
358       which are ``NULL``.
359
360Other internal entries may be added in the future.  As far as possible, they
361will be handled by :c:func:`xas_retry`.
362
363Additional functionality
364------------------------
365
366The :c:func:`xas_create_range` function allocates all the necessary memory
367to store every entry in a range.  It will set ENOMEM in the xa_state if
368it cannot allocate memory.
369
370You can use :c:func:`xas_init_marks` to reset the marks on an entry
371to their default state.  This is usually all marks clear, unless the
372XArray is marked with ``XA_FLAGS_TRACK_FREE``, in which case mark 0 is set
373and all other marks are clear.  Replacing one entry with another using
374:c:func:`xas_store` will not reset the marks on that entry; if you want
375the marks reset, you should do that explicitly.
376
377The :c:func:`xas_load` will walk the xa_state as close to the entry
378as it can.  If you know the xa_state has already been walked to the
379entry and need to check that the entry hasn't changed, you can use
380:c:func:`xas_reload` to save a function call.
381
382If you need to move to a different index in the XArray, call
383:c:func:`xas_set`.  This resets the cursor to the top of the tree, which
384will generally make the next operation walk the cursor to the desired
385spot in the tree.  If you want to move to the next or previous index,
386call :c:func:`xas_next` or :c:func:`xas_prev`.  Setting the index does
387not walk the cursor around the array so does not require a lock to be
388held, while moving to the next or previous index does.
389
390You can search for the next present entry using :c:func:`xas_find`.  This
391is the equivalent of both :c:func:`xa_find` and :c:func:`xa_find_after`;
392if the cursor has been walked to an entry, then it will find the next
393entry after the one currently referenced.  If not, it will return the
394entry at the index of the xa_state.  Using :c:func:`xas_next_entry` to
395move to the next present entry instead of :c:func:`xas_find` will save
396a function call in the majority of cases at the expense of emitting more
397inline code.
398
399The :c:func:`xas_find_marked` function is similar.  If the xa_state has
400not been walked, it will return the entry at the index of the xa_state,
401if it is marked.  Otherwise, it will return the first marked entry after
402the entry referenced by the xa_state.  The :c:func:`xas_next_marked`
403function is the equivalent of :c:func:`xas_next_entry`.
404
405When iterating over a range of the XArray using :c:func:`xas_for_each`
406or :c:func:`xas_for_each_marked`, it may be necessary to temporarily stop
407the iteration.  The :c:func:`xas_pause` function exists for this purpose.
408After you have done the necessary work and wish to resume, the xa_state
409is in an appropriate state to continue the iteration after the entry
410you last processed.  If you have interrupts disabled while iterating,
411then it is good manners to pause the iteration and reenable interrupts
412every ``XA_CHECK_SCHED`` entries.
413
414The :c:func:`xas_get_mark`, :c:func:`xas_set_mark` and
415:c:func:`xas_clear_mark` functions require the xa_state cursor to have
416been moved to the appropriate location in the xarray; they will do
417nothing if you have called :c:func:`xas_pause` or :c:func:`xas_set`
418immediately before.
419
420You can call :c:func:`xas_set_update` to have a callback function
421called each time the XArray updates a node.  This is used by the page
422cache workingset code to maintain its list of nodes which contain only
423shadow entries.
424
425Multi-Index Entries
426-------------------
427
428The XArray has the ability to tie multiple indices together so that
429operations on one index affect all indices.  For example, storing into
430any index will change the value of the entry retrieved from any index.
431Setting or clearing a mark on any index will set or clear the mark
432on every index that is tied together.  The current implementation
433only allows tying ranges which are aligned powers of two together;
434eg indices 64-127 may be tied together, but 2-6 may not be.  This may
435save substantial quantities of memory; for example tying 512 entries
436together will save over 4kB.
437
438You can create a multi-index entry by using :c:func:`XA_STATE_ORDER`
439or :c:func:`xas_set_order` followed by a call to :c:func:`xas_store`.
440Calling :c:func:`xas_load` with a multi-index xa_state will walk the
441xa_state to the right location in the tree, but the return value is not
442meaningful, potentially being an internal entry or ``NULL`` even when there
443is an entry stored within the range.  Calling :c:func:`xas_find_conflict`
444will return the first entry within the range or ``NULL`` if there are no
445entries in the range.  The :c:func:`xas_for_each_conflict` iterator will
446iterate over every entry which overlaps the specified range.
447
448If :c:func:`xas_load` encounters a multi-index entry, the xa_index
449in the xa_state will not be changed.  When iterating over an XArray
450or calling :c:func:`xas_find`, if the initial index is in the middle
451of a multi-index entry, it will not be altered.  Subsequent calls
452or iterations will move the index to the first index in the range.
453Each entry will only be returned once, no matter how many indices it
454occupies.
455
456Using :c:func:`xas_next` or :c:func:`xas_prev` with a multi-index xa_state
457is not supported.  Using either of these functions on a multi-index entry
458will reveal sibling entries; these should be skipped over by the caller.
459
460Storing ``NULL`` into any index of a multi-index entry will set the entry
461at every index to ``NULL`` and dissolve the tie.  Splitting a multi-index
462entry into entries occupying smaller ranges is not yet supported.
463
464Functions and structures
465========================
466
467.. kernel-doc:: include/linux/xarray.h
468.. kernel-doc:: lib/xarray.c
469