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2 Generic Associative Array Implementation
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8 This associative array implementation is an object container with the following
11 1. Objects are opaque pointers. The implementation does not care where they
12 point (if anywhere) or what they point to (if anything).
13 .. note:: Pointers to objects _must_ be zero in the least significant bit.
15 2. Objects do not need to contain linkage blocks for use by the array. This
16 permits an object to be located in multiple arrays simultaneously.
17 Rather, the array is made up of metadata blocks that point to objects.
19 3. Objects require index keys to locate them within the array.
21 4. Index keys must be unique. Inserting an object with the same key as one
22 already in the array will replace the old object.
24 5. Index keys can be of any length and can be of different lengths.
26 6. Index keys should encode the length early on, before any variation due to
29 7. Index keys can include a hash to scatter objects throughout the array.
31 8. The array can iterated over. The objects will not necessarily come out in
34 9. The array can be iterated over whilst it is being modified, provided the
35 RCU readlock is being held by the iterator. Note, however, under these
36 circumstances, some objects may be seen more than once. If this is a
37 problem, the iterator should lock against modification. Objects will not
38 be missed, however, unless deleted.
40 10. Objects in the array can be looked up by means of their index key.
42 11. Objects can be looked up whilst the array is being modified, provided the
43 RCU readlock is being held by the thread doing the look up.
45 The implementation uses a tree of 16-pointer nodes internally that are indexed
46 on each level by nibbles from the index key in the same manner as in a radix
47 tree. To improve memory efficiency, shortcuts can be emplaced to skip over
48 what would otherwise be a series of single-occupancy nodes. Further, nodes
49 pack leaf object pointers into spare space in the node rather than making an
50 extra branch until as such time an object needs to be added to a full node.
56 The public API can be found in ``<linux/assoc_array.h>``. The associative
57 array is rooted on the following structure::
63 The code is selected by enabling ``CONFIG_ASSOCIATIVE_ARRAY`` with::
65 ./script/config -e ASSOCIATIVE_ARRAY
71 The insertion and deletion functions produce an 'edit script' that can later be
72 applied to effect the changes without risking ``ENOMEM``. This retains the
73 preallocated metadata blocks that will be installed in the internal tree and
74 keeps track of the metadata blocks that will be removed from the tree when the
77 This is also used to keep track of dead blocks and dead objects after the
78 script has been applied so that they can be freed later. The freeing is done
79 after an RCU grace period has passed - thus allowing access functions to
80 proceed under the RCU read lock.
82 The script appears as outside of the API as a pointer of the type::
84 struct assoc_array_edit;
86 There are two functions for dealing with the script:
88 1. Apply an edit script::
90 void assoc_array_apply_edit(struct assoc_array_edit *edit);
92 This will perform the edit functions, interpolating various write barriers
93 to permit accesses under the RCU read lock to continue. The edit script
94 will then be passed to ``call_rcu()`` to free it and any dead stuff it points
97 2. Cancel an edit script::
99 void assoc_array_cancel_edit(struct assoc_array_edit *edit);
101 This frees the edit script and all preallocated memory immediately. If
102 this was for insertion, the new object is _not_ released by this function,
103 but must rather be released by the caller.
105 These functions are guaranteed not to fail.
111 Various functions take a table of operations::
113 struct assoc_array_ops {
117 This points to a number of methods, all of which need to be provided:
119 1. Get a chunk of index key from caller data::
121 unsigned long (*get_key_chunk)(const void *index_key, int level);
123 This should return a chunk of caller-supplied index key starting at the
124 *bit* position given by the level argument. The level argument will be a
125 multiple of ``ASSOC_ARRAY_KEY_CHUNK_SIZE`` and the function should return
126 ``ASSOC_ARRAY_KEY_CHUNK_SIZE bits``. No error is possible.
129 2. Get a chunk of an object's index key::
131 unsigned long (*get_object_key_chunk)(const void *object, int level);
133 As the previous function, but gets its data from an object in the array
134 rather than from a caller-supplied index key.
137 3. See if this is the object we're looking for::
139 bool (*compare_object)(const void *object, const void *index_key);
141 Compare the object against an index key and return ``true`` if it matches and
142 ``false`` if it doesn't.
145 4. Diff the index keys of two objects::
147 int (*diff_objects)(const void *object, const void *index_key);
149 Return the bit position at which the index key of the specified object
150 differs from the given index key or -1 if they are the same.
155 void (*free_object)(void *object);
157 Free the specified object. Note that this may be called an RCU grace period
158 after ``assoc_array_apply_edit()`` was called, so ``synchronize_rcu()`` may be
159 necessary on module unloading.
162 Manipulation Functions
163 ----------------------
165 There are a number of functions for manipulating an associative array:
167 1. Initialise an associative array::
169 void assoc_array_init(struct assoc_array *array);
171 This initialises the base structure for an associative array. It can't fail.
174 2. Insert/replace an object in an associative array::
176 struct assoc_array_edit *
177 assoc_array_insert(struct assoc_array *array,
178 const struct assoc_array_ops *ops,
179 const void *index_key,
182 This inserts the given object into the array. Note that the least
183 significant bit of the pointer must be zero as it's used to type-mark
186 If an object already exists for that key then it will be replaced with the
187 new object and the old one will be freed automatically.
189 The ``index_key`` argument should hold index key information and is
190 passed to the methods in the ops table when they are called.
192 This function makes no alteration to the array itself, but rather returns
193 an edit script that must be applied. ``-ENOMEM`` is returned in the case of
194 an out-of-memory error.
196 The caller should lock exclusively against other modifiers of the array.
199 3. Delete an object from an associative array::
201 struct assoc_array_edit *
202 assoc_array_delete(struct assoc_array *array,
203 const struct assoc_array_ops *ops,
204 const void *index_key);
206 This deletes an object that matches the specified data from the array.
208 The ``index_key`` argument should hold index key information and is
209 passed to the methods in the ops table when they are called.
211 This function makes no alteration to the array itself, but rather returns
212 an edit script that must be applied. ``-ENOMEM`` is returned in the case of
213 an out-of-memory error. ``NULL`` will be returned if the specified object is
214 not found within the array.
216 The caller should lock exclusively against other modifiers of the array.
219 4. Delete all objects from an associative array::
221 struct assoc_array_edit *
222 assoc_array_clear(struct assoc_array *array,
223 const struct assoc_array_ops *ops);
225 This deletes all the objects from an associative array and leaves it
228 This function makes no alteration to the array itself, but rather returns
229 an edit script that must be applied. ``-ENOMEM`` is returned in the case of
230 an out-of-memory error.
232 The caller should lock exclusively against other modifiers of the array.
235 5. Destroy an associative array, deleting all objects::
237 void assoc_array_destroy(struct assoc_array *array,
238 const struct assoc_array_ops *ops);
240 This destroys the contents of the associative array and leaves it
241 completely empty. It is not permitted for another thread to be traversing
242 the array under the RCU read lock at the same time as this function is
243 destroying it as no RCU deferral is performed on memory release -
244 something that would require memory to be allocated.
246 The caller should lock exclusively against other modifiers and accessors
250 6. Garbage collect an associative array::
252 int assoc_array_gc(struct assoc_array *array,
253 const struct assoc_array_ops *ops,
254 bool (*iterator)(void *object, void *iterator_data),
255 void *iterator_data);
257 This iterates over the objects in an associative array and passes each one to
258 ``iterator()``. If ``iterator()`` returns ``true``, the object is kept. If it
259 returns ``false``, the object will be freed. If the ``iterator()`` function
260 returns ``true``, it must perform any appropriate refcount incrementing on the
261 object before returning.
263 The internal tree will be packed down if possible as part of the iteration
264 to reduce the number of nodes in it.
266 The ``iterator_data`` is passed directly to ``iterator()`` and is otherwise
267 ignored by the function.
269 The function will return ``0`` if successful and ``-ENOMEM`` if there wasn't
272 It is possible for other threads to iterate over or search the array under
273 the RCU read lock whilst this function is in progress. The caller should
274 lock exclusively against other modifiers of the array.
280 There are two functions for accessing an associative array:
282 1. Iterate over all the objects in an associative array::
284 int assoc_array_iterate(const struct assoc_array *array,
285 int (*iterator)(const void *object,
286 void *iterator_data),
287 void *iterator_data);
289 This passes each object in the array to the iterator callback function.
290 ``iterator_data`` is private data for that function.
292 This may be used on an array at the same time as the array is being
293 modified, provided the RCU read lock is held. Under such circumstances,
294 it is possible for the iteration function to see some objects twice. If
295 this is a problem, then modification should be locked against. The
296 iteration algorithm should not, however, miss any objects.
298 The function will return ``0`` if no objects were in the array or else it will
299 return the result of the last iterator function called. Iteration stops
300 immediately if any call to the iteration function results in a non-zero
304 2. Find an object in an associative array::
306 void *assoc_array_find(const struct assoc_array *array,
307 const struct assoc_array_ops *ops,
308 const void *index_key);
310 This walks through the array's internal tree directly to the object
311 specified by the index key..
313 This may be used on an array at the same time as the array is being
314 modified, provided the RCU read lock is held.
316 The function will return the object if found (and set ``*_type`` to the object
317 type) or will return ``NULL`` if the object was not found.
323 The index key can be of any form, but since the algorithms aren't told how long
324 the key is, it is strongly recommended that the index key includes its length
325 very early on before any variation due to the length would have an effect on
328 This will cause leaves with different length keys to scatter away from each
329 other - and those with the same length keys to cluster together.
331 It is also recommended that the index key begin with a hash of the rest of the
332 key to maximise scattering throughout keyspace.
334 The better the scattering, the wider and lower the internal tree will be.
336 Poor scattering isn't too much of a problem as there are shortcuts and nodes
337 can contain mixtures of leaves and metadata pointers.
339 The index key is read in chunks of machine word. Each chunk is subdivided into
340 one nibble (4 bits) per level, so on a 32-bit CPU this is good for 8 levels and
341 on a 64-bit CPU, 16 levels. Unless the scattering is really poor, it is
342 unlikely that more than one word of any particular index key will have to be
349 The associative array data structure has an internal tree. This tree is
350 constructed of two types of metadata blocks: nodes and shortcuts.
352 A node is an array of slots. Each slot can contain one of four things:
354 * A NULL pointer, indicating that the slot is empty.
355 * A pointer to an object (a leaf).
356 * A pointer to a node at the next level.
357 * A pointer to a shortcut.
360 Basic Internal Tree Layout
361 --------------------------
363 Ignoring shortcuts for the moment, the nodes form a multilevel tree. The index
364 key space is strictly subdivided by the nodes in the tree and nodes occur on
365 fixed levels. For example::
368 =============== =============== =============== ===============
370 NODE B NODE C +------>+---+
371 +------>+---+ +------>+---+ | | 0 |
372 NODE A | | 0 | | | 0 | | +---+
373 +---+ | +---+ | +---+ | : :
374 | 0 | | : : | : : | +---+
375 +---+ | +---+ | +---+ | | f |
376 | 1 |---+ | 3 |---+ | 7 |---+ +---+
379 +---+ +---+ +---+ | NODE E
380 | e |---+ | f | : : +------>+---+
381 +---+ | +---+ +---+ | 0 |
397 In the above example, there are 7 nodes (A-G), each with 16 slots (0-f).
398 Assuming no other meta data nodes in the tree, the key space is divided
411 So, for instance, keys with the following example index keys will be found in
412 the appropriate nodes::
414 INDEX KEY PREFIX NODE
415 =============== ======= ====
429 To save memory, if a node can hold all the leaves in its portion of keyspace,
430 then the node will have all those leaves in it and will not have any metadata
431 pointers - even if some of those leaves would like to be in the same slot.
433 A node can contain a heterogeneous mix of leaves and metadata pointers.
434 Metadata pointers must be in the slots that match their subdivisions of key
435 space. The leaves can be in any slot not occupied by a metadata pointer. It
436 is guaranteed that none of the leaves in a node will match a slot occupied by a
437 metadata pointer. If the metadata pointer is there, any leaf whose key matches
438 the metadata key prefix must be in the subtree that the metadata pointer points
441 In the above example list of index keys, node A will contain::
443 SLOT CONTENT INDEX KEY (PREFIX)
444 ==== =============== ==================
446 any LEAF 9431809de993ba
447 any LEAF b4542910809cd
460 Shortcuts are metadata records that jump over a piece of keyspace. A shortcut
461 is a replacement for a series of single-occupancy nodes ascending through the
462 levels. Shortcuts exist to save memory and to speed up traversal.
464 It is possible for the root of the tree to be a shortcut - say, for example,
465 the tree contains at least 17 nodes all with key prefix ``1111``. The
466 insertion algorithm will insert a shortcut to skip over the ``1111`` keyspace
467 in a single bound and get to the fourth level where these actually become
471 Splitting And Collapsing Nodes
472 ------------------------------
474 Each node has a maximum capacity of 16 leaves and metadata pointers. If the
475 insertion algorithm finds that it is trying to insert a 17th object into a
476 node, that node will be split such that at least two leaves that have a common
477 key segment at that level end up in a separate node rooted on that slot for
478 that common key segment.
480 If the leaves in a full node and the leaf that is being inserted are
481 sufficiently similar, then a shortcut will be inserted into the tree.
483 When the number of objects in the subtree rooted at a node falls to 16 or
484 fewer, then the subtree will be collapsed down to a single node - and this will
485 ripple towards the root if possible.
488 Non-Recursive Iteration
489 -----------------------
491 Each node and shortcut contains a back pointer to its parent and the number of
492 slot in that parent that points to it. None-recursive iteration uses these to
493 proceed rootwards through the tree, going to the parent node, slot N + 1 to
494 make sure progress is made without the need for a stack.
496 The backpointers, however, make simultaneous alteration and iteration tricky.
499 Simultaneous Alteration And Iteration
500 -------------------------------------
502 There are a number of cases to consider:
504 1. Simple insert/replace. This involves simply replacing a NULL or old
505 matching leaf pointer with the pointer to the new leaf after a barrier.
506 The metadata blocks don't change otherwise. An old leaf won't be freed
507 until after the RCU grace period.
509 2. Simple delete. This involves just clearing an old matching leaf. The
510 metadata blocks don't change otherwise. The old leaf won't be freed until
511 after the RCU grace period.
513 3. Insertion replacing part of a subtree that we haven't yet entered. This
514 may involve replacement of part of that subtree - but that won't affect
515 the iteration as we won't have reached the pointer to it yet and the
516 ancestry blocks are not replaced (the layout of those does not change).
518 4. Insertion replacing nodes that we're actively processing. This isn't a
519 problem as we've passed the anchoring pointer and won't switch onto the
520 new layout until we follow the back pointers - at which point we've
521 already examined the leaves in the replaced node (we iterate over all the
522 leaves in a node before following any of its metadata pointers).
524 We might, however, re-see some leaves that have been split out into a new
525 branch that's in a slot further along than we were at.
527 5. Insertion replacing nodes that we're processing a dependent branch of.
528 This won't affect us until we follow the back pointers. Similar to (4).
530 6. Deletion collapsing a branch under us. This doesn't affect us because the
531 back pointers will get us back to the parent of the new node before we
532 could see the new node. The entire collapsed subtree is thrown away
533 unchanged - and will still be rooted on the same slot, so we shouldn't
534 process it a second time as we'll go back to slot + 1.
538 Under some circumstances, we need to simultaneously change the parent
539 pointer and the parent slot pointer on a node (say, for example, we
540 inserted another node before it and moved it up a level). We cannot do
541 this without locking against a read - so we have to replace that node too.
543 However, when we're changing a shortcut into a node this isn't a problem
544 as shortcuts only have one slot and so the parent slot number isn't used
545 when traversing backwards over one. This means that it's okay to change
546 the slot number first - provided suitable barriers are used to make sure
547 the parent slot number is read after the back pointer.
549 Obsolete blocks and leaves are freed up after an RCU grace period has passed,
550 so as long as anyone doing walking or iteration holds the RCU read lock, the
551 old superstructure should not go away on them.