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 and one that has most recently had ``NULL`` stored to it.
78
79You can conditionally replace an entry at an index by using
80:c:func:`xa_cmpxchg`.  Like :c:func:`cmpxchg`, it will only succeed if
81the entry at that index has the 'old' value.  It also returns the entry
82which was at that index; if it returns the same entry which was passed as
83'old', then :c:func:`xa_cmpxchg` succeeded.
84
85If you want to only store a new entry to an index if the current entry
86at that index is ``NULL``, you can use :c:func:`xa_insert` which
87returns ``-EEXIST`` if the entry is not empty.
88
89You can enquire whether a mark is set on an entry by using
90:c:func:`xa_get_mark`.  If the entry is not ``NULL``, you can set a mark
91on it by using :c:func:`xa_set_mark` and remove the mark from an entry by
92calling :c:func:`xa_clear_mark`.  You can ask whether any entry in the
93XArray has a particular mark set by calling :c:func:`xa_marked`.
94
95You can copy entries out of the XArray into a plain array by calling
96:c:func:`xa_extract`.  Or you can iterate over the present entries in
97the XArray by calling :c:func:`xa_for_each`.  You may prefer to use
98:c:func:`xa_find` or :c:func:`xa_find_after` to move to the next present
99entry in the XArray.
100
101Finally, you can remove all entries from an XArray by calling
102:c:func:`xa_destroy`.  If the XArray entries are pointers, you may wish
103to free the entries first.  You can do this by iterating over all present
104entries in the XArray using the :c:func:`xa_for_each` iterator.
105
106Memory allocation
107-----------------
108
109The :c:func:`xa_store`, :c:func:`xa_cmpxchg`, :c:func:`xa_reserve`
110and :c:func:`xa_insert` functions take a gfp_t parameter in case
111the XArray needs to allocate memory to store this entry.
112If the entry is being deleted, no memory allocation needs to be performed,
113and the GFP flags specified will be ignored.
114
115It is possible for no memory to be allocatable, particularly if you pass
116a restrictive set of GFP flags.  In that case, the functions return a
117special value which can be turned into an errno using :c:func:`xa_err`.
118If you don't need to know exactly which error occurred, using
119:c:func:`xa_is_err` is slightly more efficient.
120
121Locking
122-------
123
124When using the Normal API, you do not have to worry about locking.
125The XArray uses RCU and an internal spinlock to synchronise access:
126
127No lock needed:
128 * :c:func:`xa_empty`
129 * :c:func:`xa_marked`
130
131Takes RCU read lock:
132 * :c:func:`xa_load`
133 * :c:func:`xa_for_each`
134 * :c:func:`xa_find`
135 * :c:func:`xa_find_after`
136 * :c:func:`xa_extract`
137 * :c:func:`xa_get_mark`
138
139Takes xa_lock internally:
140 * :c:func:`xa_store`
141 * :c:func:`xa_insert`
142 * :c:func:`xa_erase`
143 * :c:func:`xa_erase_bh`
144 * :c:func:`xa_erase_irq`
145 * :c:func:`xa_cmpxchg`
146 * :c:func:`xa_destroy`
147 * :c:func:`xa_set_mark`
148 * :c:func:`xa_clear_mark`
149
150Assumes xa_lock held on entry:
151 * :c:func:`__xa_store`
152 * :c:func:`__xa_insert`
153 * :c:func:`__xa_erase`
154 * :c:func:`__xa_cmpxchg`
155 * :c:func:`__xa_set_mark`
156 * :c:func:`__xa_clear_mark`
157
158If you want to take advantage of the lock to protect the data structures
159that you are storing in the XArray, you can call :c:func:`xa_lock`
160before calling :c:func:`xa_load`, then take a reference count on the
161object you have found before calling :c:func:`xa_unlock`.  This will
162prevent stores from removing the object from the array between looking
163up the object and incrementing the refcount.  You can also use RCU to
164avoid dereferencing freed memory, but an explanation of that is beyond
165the scope of this document.
166
167The XArray does not disable interrupts or softirqs while modifying
168the array.  It is safe to read the XArray from interrupt or softirq
169context as the RCU lock provides enough protection.
170
171If, for example, you want to store entries in the XArray in process
172context and then erase them in softirq context, you can do that this way::
173
174    void foo_init(struct foo *foo)
175    {
176        xa_init_flags(&foo->array, XA_FLAGS_LOCK_BH);
177    }
178
179    int foo_store(struct foo *foo, unsigned long index, void *entry)
180    {
181        int err;
182
183        xa_lock_bh(&foo->array);
184        err = xa_err(__xa_store(&foo->array, index, entry, GFP_KERNEL));
185        if (!err)
186            foo->count++;
187        xa_unlock_bh(&foo->array);
188        return err;
189    }
190
191    /* foo_erase() is only called from softirq context */
192    void foo_erase(struct foo *foo, unsigned long index)
193    {
194        xa_lock(&foo->array);
195        __xa_erase(&foo->array, index);
196        foo->count--;
197        xa_unlock(&foo->array);
198    }
199
200If you are going to modify the XArray from interrupt or softirq context,
201you need to initialise the array using :c:func:`xa_init_flags`, passing
202``XA_FLAGS_LOCK_IRQ`` or ``XA_FLAGS_LOCK_BH``.
203
204The above example also shows a common pattern of wanting to extend the
205coverage of the xa_lock on the store side to protect some statistics
206associated with the array.
207
208Sharing the XArray with interrupt context is also possible, either
209using :c:func:`xa_lock_irqsave` in both the interrupt handler and process
210context, or :c:func:`xa_lock_irq` in process context and :c:func:`xa_lock`
211in the interrupt handler.  Some of the more common patterns have helper
212functions such as :c:func:`xa_erase_bh` and :c:func:`xa_erase_irq`.
213
214Sometimes you need to protect access to the XArray with a mutex because
215that lock sits above another mutex in the locking hierarchy.  That does
216not entitle you to use functions like :c:func:`__xa_erase` without taking
217the xa_lock; the xa_lock is used for lockdep validation and will be used
218for other purposes in the future.
219
220The :c:func:`__xa_set_mark` and :c:func:`__xa_clear_mark` functions are also
221available for situations where you look up an entry and want to atomically
222set or clear a mark.  It may be more efficient to use the advanced API
223in this case, as it will save you from walking the tree twice.
224
225Advanced API
226============
227
228The advanced API offers more flexibility and better performance at the
229cost of an interface which can be harder to use and has fewer safeguards.
230No locking is done for you by the advanced API, and you are required
231to use the xa_lock while modifying the array.  You can choose whether
232to use the xa_lock or the RCU lock while doing read-only operations on
233the array.  You can mix advanced and normal operations on the same array;
234indeed the normal API is implemented in terms of the advanced API.  The
235advanced API is only available to modules with a GPL-compatible license.
236
237The advanced API is based around the xa_state.  This is an opaque data
238structure which you declare on the stack using the :c:func:`XA_STATE`
239macro.  This macro initialises the xa_state ready to start walking
240around the XArray.  It is used as a cursor to maintain the position
241in the XArray and let you compose various operations together without
242having to restart from the top every time.
243
244The xa_state is also used to store errors.  You can call
245:c:func:`xas_error` to retrieve the error.  All operations check whether
246the xa_state is in an error state before proceeding, so there's no need
247for you to check for an error after each call; you can make multiple
248calls in succession and only check at a convenient point.  The only
249errors currently generated by the XArray code itself are ``ENOMEM`` and
250``EINVAL``, but it supports arbitrary errors in case you want to call
251:c:func:`xas_set_err` yourself.
252
253If the xa_state is holding an ``ENOMEM`` error, calling :c:func:`xas_nomem`
254will attempt to allocate more memory using the specified gfp flags and
255cache it in the xa_state for the next attempt.  The idea is that you take
256the xa_lock, attempt the operation and drop the lock.  The operation
257attempts to allocate memory while holding the lock, but it is more
258likely to fail.  Once you have dropped the lock, :c:func:`xas_nomem`
259can try harder to allocate more memory.  It will return ``true`` if it
260is worth retrying the operation (i.e. that there was a memory error *and*
261more memory was allocated).  If it has previously allocated memory, and
262that memory wasn't used, and there is no error (or some error that isn't
263``ENOMEM``), then it will free the memory previously allocated.
264
265Internal Entries
266----------------
267
268The XArray reserves some entries for its own purposes.  These are never
269exposed through the normal API, but when using the advanced API, it's
270possible to see them.  Usually the best way to handle them is to pass them
271to :c:func:`xas_retry`, and retry the operation if it returns ``true``.
272
273.. flat-table::
274   :widths: 1 1 6
275
276   * - Name
277     - Test
278     - Usage
279
280   * - Node
281     - :c:func:`xa_is_node`
282     - An XArray node.  May be visible when using a multi-index xa_state.
283
284   * - Sibling
285     - :c:func:`xa_is_sibling`
286     - A non-canonical entry for a multi-index entry.  The value indicates
287       which slot in this node has the canonical entry.
288
289   * - Retry
290     - :c:func:`xa_is_retry`
291     - This entry is currently being modified by a thread which has the
292       xa_lock.  The node containing this entry may be freed at the end
293       of this RCU period.  You should restart the lookup from the head
294       of the array.
295
296   * - Zero
297     - :c:func:`xa_is_zero`
298     - Zero entries appear as ``NULL`` through the Normal API, but occupy
299       an entry in the XArray which can be used to reserve the index for
300       future use.
301
302Other internal entries may be added in the future.  As far as possible, they
303will be handled by :c:func:`xas_retry`.
304
305Additional functionality
306------------------------
307
308The :c:func:`xas_create_range` function allocates all the necessary memory
309to store every entry in a range.  It will set ENOMEM in the xa_state if
310it cannot allocate memory.
311
312You can use :c:func:`xas_init_marks` to reset the marks on an entry
313to their default state.  This is usually all marks clear, unless the
314XArray is marked with ``XA_FLAGS_TRACK_FREE``, in which case mark 0 is set
315and all other marks are clear.  Replacing one entry with another using
316:c:func:`xas_store` will not reset the marks on that entry; if you want
317the marks reset, you should do that explicitly.
318
319The :c:func:`xas_load` will walk the xa_state as close to the entry
320as it can.  If you know the xa_state has already been walked to the
321entry and need to check that the entry hasn't changed, you can use
322:c:func:`xas_reload` to save a function call.
323
324If you need to move to a different index in the XArray, call
325:c:func:`xas_set`.  This resets the cursor to the top of the tree, which
326will generally make the next operation walk the cursor to the desired
327spot in the tree.  If you want to move to the next or previous index,
328call :c:func:`xas_next` or :c:func:`xas_prev`.  Setting the index does
329not walk the cursor around the array so does not require a lock to be
330held, while moving to the next or previous index does.
331
332You can search for the next present entry using :c:func:`xas_find`.  This
333is the equivalent of both :c:func:`xa_find` and :c:func:`xa_find_after`;
334if the cursor has been walked to an entry, then it will find the next
335entry after the one currently referenced.  If not, it will return the
336entry at the index of the xa_state.  Using :c:func:`xas_next_entry` to
337move to the next present entry instead of :c:func:`xas_find` will save
338a function call in the majority of cases at the expense of emitting more
339inline code.
340
341The :c:func:`xas_find_marked` function is similar.  If the xa_state has
342not been walked, it will return the entry at the index of the xa_state,
343if it is marked.  Otherwise, it will return the first marked entry after
344the entry referenced by the xa_state.  The :c:func:`xas_next_marked`
345function is the equivalent of :c:func:`xas_next_entry`.
346
347When iterating over a range of the XArray using :c:func:`xas_for_each`
348or :c:func:`xas_for_each_marked`, it may be necessary to temporarily stop
349the iteration.  The :c:func:`xas_pause` function exists for this purpose.
350After you have done the necessary work and wish to resume, the xa_state
351is in an appropriate state to continue the iteration after the entry
352you last processed.  If you have interrupts disabled while iterating,
353then it is good manners to pause the iteration and reenable interrupts
354every ``XA_CHECK_SCHED`` entries.
355
356The :c:func:`xas_get_mark`, :c:func:`xas_set_mark` and
357:c:func:`xas_clear_mark` functions require the xa_state cursor to have
358been moved to the appropriate location in the xarray; they will do
359nothing if you have called :c:func:`xas_pause` or :c:func:`xas_set`
360immediately before.
361
362You can call :c:func:`xas_set_update` to have a callback function
363called each time the XArray updates a node.  This is used by the page
364cache workingset code to maintain its list of nodes which contain only
365shadow entries.
366
367Multi-Index Entries
368-------------------
369
370The XArray has the ability to tie multiple indices together so that
371operations on one index affect all indices.  For example, storing into
372any index will change the value of the entry retrieved from any index.
373Setting or clearing a mark on any index will set or clear the mark
374on every index that is tied together.  The current implementation
375only allows tying ranges which are aligned powers of two together;
376eg indices 64-127 may be tied together, but 2-6 may not be.  This may
377save substantial quantities of memory; for example tying 512 entries
378together will save over 4kB.
379
380You can create a multi-index entry by using :c:func:`XA_STATE_ORDER`
381or :c:func:`xas_set_order` followed by a call to :c:func:`xas_store`.
382Calling :c:func:`xas_load` with a multi-index xa_state will walk the
383xa_state to the right location in the tree, but the return value is not
384meaningful, potentially being an internal entry or ``NULL`` even when there
385is an entry stored within the range.  Calling :c:func:`xas_find_conflict`
386will return the first entry within the range or ``NULL`` if there are no
387entries in the range.  The :c:func:`xas_for_each_conflict` iterator will
388iterate over every entry which overlaps the specified range.
389
390If :c:func:`xas_load` encounters a multi-index entry, the xa_index
391in the xa_state will not be changed.  When iterating over an XArray
392or calling :c:func:`xas_find`, if the initial index is in the middle
393of a multi-index entry, it will not be altered.  Subsequent calls
394or iterations will move the index to the first index in the range.
395Each entry will only be returned once, no matter how many indices it
396occupies.
397
398Using :c:func:`xas_next` or :c:func:`xas_prev` with a multi-index xa_state
399is not supported.  Using either of these functions on a multi-index entry
400will reveal sibling entries; these should be skipped over by the caller.
401
402Storing ``NULL`` into any index of a multi-index entry will set the entry
403at every index to ``NULL`` and dissolve the tie.  Splitting a multi-index
404entry into entries occupying smaller ranges is not yet supported.
405
406Functions and structures
407========================
408
409.. kernel-doc:: include/linux/xarray.h
410.. kernel-doc:: lib/xarray.c
411