1src/backend/access/gin/README
2
3Gin for PostgreSQL
4==================
5
6Gin was sponsored by jfg://networks (http://www.jfg-networks.com/)
7
8Gin stands for Generalized Inverted Index and should be considered as a genie,
9not a drink.
10
11Generalized means that the index does not know which operation it accelerates.
12It instead works with custom strategies, defined for specific data types (read
13"Index Method Strategies" in the PostgreSQL documentation). In that sense, Gin
14is similar to GiST and differs from btree indices, which have predefined,
15comparison-based operations.
16
17An inverted index is an index structure storing a set of (key, posting list)
18pairs, where 'posting list' is a set of heap rows in which the key occurs.
19(A text document would usually contain many keys.)  The primary goal of
20Gin indices is support for highly scalable, full-text search in PostgreSQL.
21
22A Gin index consists of a B-tree index constructed over key values,
23where each key is an element of some indexed items (element of array, lexeme
24for tsvector) and where each tuple in a leaf page contains either a pointer to
25a B-tree over item pointers (posting tree), or a simple list of item pointers
26(posting list) if the list is small enough.
27
28Note: There is no delete operation in the key (entry) tree. The reason for
29this is that in our experience, the set of distinct words in a large corpus
30changes very slowly.  This greatly simplifies the code and concurrency
31algorithms.
32
33Core PostgreSQL includes built-in Gin support for one-dimensional arrays
34(eg. integer[], text[]).  The following operations are available:
35
36  * contains: value_array @> query_array
37  * overlaps: value_array && query_array
38  * is contained by: value_array <@ query_array
39
40Synopsis
41--------
42
43=# create index txt_idx on aa using gin(a);
44
45Features
46--------
47
48  * Concurrency
49  * Write-Ahead Logging (WAL).  (Recoverability from crashes.)
50  * User-defined opclasses.  (The scheme is similar to GiST.)
51  * Optimized index creation (Makes use of maintenance_work_mem to accumulate
52    postings in memory.)
53  * Text search support via an opclass
54  * Soft upper limit on the returned results set using a GUC variable:
55    gin_fuzzy_search_limit
56
57Gin Fuzzy Limit
58---------------
59
60There are often situations when a full-text search returns a very large set of
61results.  Since reading tuples from the disk and sorting them could take a
62lot of time, this is unacceptable for production.  (Note that the search
63itself is very fast.)
64
65Such queries usually contain very frequent lexemes, so the results are not
66very helpful. To facilitate execution of such queries Gin has a configurable
67soft upper limit on the size of the returned set, determined by the
68'gin_fuzzy_search_limit' GUC variable.  This is set to 0 by default (no
69limit).
70
71If a non-zero search limit is set, then the returned set is a subset of the
72whole result set, chosen at random.
73
74"Soft" means that the actual number of returned results could differ
75from the specified limit, depending on the query and the quality of the
76system's random number generator.
77
78From experience, a value of 'gin_fuzzy_search_limit' in the thousands
79(eg. 5000-20000) works well.  This means that 'gin_fuzzy_search_limit' will
80have no effect for queries returning a result set with less tuples than this
81number.
82
83Index structure
84---------------
85
86The "items" that a GIN index indexes are composite values that contain
87zero or more "keys".  For example, an item might be an integer array, and
88then the keys would be the individual integer values.  The index actually
89stores and searches for the key values, not the items per se.  In the
90pg_opclass entry for a GIN opclass, the opcintype is the data type of the
91items, and the opckeytype is the data type of the keys.  GIN is optimized
92for cases where items contain many keys and the same key values appear
93in many different items.
94
95A GIN index contains a metapage, a btree of key entries, and possibly
96"posting tree" pages, which hold the overflow when a key entry acquires
97too many heap tuple pointers to fit in a btree page.  Additionally, if the
98fast-update feature is enabled, there can be "list pages" holding "pending"
99key entries that haven't yet been merged into the main btree.  The list
100pages have to be scanned linearly when doing a search, so the pending
101entries should be merged into the main btree before there get to be too
102many of them.  The advantage of the pending list is that bulk insertion of
103a few thousand entries can be much faster than retail insertion.  (The win
104comes mainly from not having to do multiple searches/insertions when the
105same key appears in multiple new heap tuples.)
106
107Key entries are nominally of the same IndexTuple format as used in other
108index types, but since a leaf key entry typically refers to multiple heap
109tuples, there are significant differences.  (See GinFormTuple, which works
110by building a "normal" index tuple and then modifying it.)  The points to
111know are:
112
113* In a single-column index, a key tuple just contains the key datum, but
114in a multi-column index, a key tuple contains the pair (column number,
115key datum) where the column number is stored as an int2.  This is needed
116to support different key data types in different columns.  This much of
117the tuple is built by index_form_tuple according to the usual rules.
118The column number (if present) can never be null, but the key datum can
119be, in which case a null bitmap is present as usual.  (As usual for index
120tuples, the size of the null bitmap is fixed at INDEX_MAX_KEYS.)
121
122* If the key datum is null (ie, IndexTupleHasNulls() is true), then
123just after the nominal index data (ie, at offset IndexInfoFindDataOffset
124or IndexInfoFindDataOffset + sizeof(int2)) there is a byte indicating
125the "category" of the null entry.  These are the possible categories:
126	1 = ordinary null key value extracted from an indexable item
127	2 = placeholder for zero-key indexable item
128	3 = placeholder for null indexable item
129Placeholder null entries are inserted into the index because otherwise
130there would be no index entry at all for an empty or null indexable item,
131which would mean that full index scans couldn't be done and various corner
132cases would give wrong answers.  The different categories of null entries
133are treated as distinct keys by the btree, but heap itempointers for the
134same category of null entry are merged into one index entry just as happens
135with ordinary key entries.
136
137* In a key entry at the btree leaf level, at the next SHORTALIGN boundary,
138there is a list of item pointers, in compressed format (see Posting List
139Compression section), pointing to the heap tuples for which the indexable
140items contain this key. This is called the "posting list".
141
142If the list would be too big for the index tuple to fit on an index page, the
143ItemPointers are pushed out to a separate posting page or pages, and none
144appear in the key entry itself.  The separate pages are called a "posting
145tree" (see below); Note that in either case, the ItemPointers associated with
146a key can easily be read out in sorted order; this is relied on by the scan
147algorithms.
148
149* The index tuple header fields of a leaf key entry are abused as follows:
150
1511) Posting list case:
152
153* ItemPointerGetBlockNumber(&itup->t_tid) contains the offset from index
154  tuple start to the posting list.
155  Access macros: GinGetPostingOffset(itup) / GinSetPostingOffset(itup,n)
156
157* ItemPointerGetOffsetNumber(&itup->t_tid) contains the number of elements
158  in the posting list (number of heap itempointers).
159  Access macros: GinGetNPosting(itup) / GinSetNPosting(itup,n)
160
161* If IndexTupleHasNulls(itup) is true, the null category byte can be
162  accessed/set with GinGetNullCategory(itup,gs) / GinSetNullCategory(itup,gs,c)
163
164* The posting list can be accessed with GinGetPosting(itup)
165
166* If GinITupIsCompressed(itup), the posting list is stored in compressed
167  format. Otherwise it is just an array of ItemPointers. New tuples are always
168  stored in compressed format, uncompressed items can be present if the
169  database was migrated from 9.3 or earlier version.
170
1712) Posting tree case:
172
173* ItemPointerGetBlockNumber(&itup->t_tid) contains the index block number
174  of the root of the posting tree.
175  Access macros: GinGetPostingTree(itup) / GinSetPostingTree(itup, blkno)
176
177* ItemPointerGetOffsetNumber(&itup->t_tid) contains the magic number
178  GIN_TREE_POSTING, which distinguishes this from the posting-list case
179  (it's large enough that that many heap itempointers couldn't possibly
180  fit on an index page).  This value is inserted automatically by the
181  GinSetPostingTree macro.
182
183* If IndexTupleHasNulls(itup) is true, the null category byte can be
184  accessed/set with GinGetNullCategory(itup,gs) / GinSetNullCategory(itup,gs,c)
185
186* The posting list is not present and must not be accessed.
187
188Use the macro GinIsPostingTree(itup) to determine which case applies.
189
190In both cases, itup->t_info & INDEX_SIZE_MASK contains actual total size of
191tuple, and the INDEX_VAR_MASK and INDEX_NULL_MASK bits have their normal
192meanings as set by index_form_tuple.
193
194Index tuples in non-leaf levels of the btree contain the optional column
195number, key datum, and null category byte as above.  They do not contain
196a posting list.  ItemPointerGetBlockNumber(&itup->t_tid) is the downlink
197to the next lower btree level, and ItemPointerGetOffsetNumber(&itup->t_tid)
198is InvalidOffsetNumber.  Use the access macros GinGetDownlink/GinSetDownlink
199to get/set the downlink.
200
201Index entries that appear in "pending list" pages work a tad differently as
202well.  The optional column number, key datum, and null category byte are as
203for other GIN index entries.  However, there is always exactly one heap
204itempointer associated with a pending entry, and it is stored in the t_tid
205header field just as in non-GIN indexes.  There is no posting list.
206Furthermore, the code that searches the pending list assumes that all
207entries for a given heap tuple appear consecutively in the pending list and
208are sorted by the column-number-plus-key-datum.  The GIN_LIST_FULLROW page
209flag bit tells whether entries for a given heap tuple are spread across
210multiple pending-list pages.  If GIN_LIST_FULLROW is set, the page contains
211all the entries for one or more heap tuples.  If GIN_LIST_FULLROW is clear,
212the page contains entries for only one heap tuple, *and* they are not all
213the entries for that tuple.  (Thus, a heap tuple whose entries do not all
214fit on one pending-list page must have those pages to itself, even if this
215results in wasting much of the space on the preceding page and the last
216page for the tuple.)
217
218GIN packs downlinks and pivot keys into internal page tuples in a different way
219than nbtree does.  Lehman & Yao defines it as following.
220
221P_0, K_1, P_1, K_2, P_2, ... , K_n, P_n, K_{n+1}
222
223There P_i is a downlink and K_i is a key.  K_i splits key space between P_{i-1}
224and P_i (0 <= i <= n).  K_{n+1} is high key.
225
226In internal page tuple is key and downlink grouped together.  nbtree packs
227keys and downlinks into tuples as following.
228
229(K_{n+1}, None), (-Inf, P_0), (K_1, P_1), ... , (K_n, P_n)
230
231There tuples are shown in parentheses.  So, highkey is stored separately.  P_i
232is grouped with K_i.  P_0 is grouped with -Inf key.
233
234GIN packs keys and downlinks into tuples in a different way.
235
236(P_0, K_1), (P_1, K_2), ... , (P_n, K_{n+1})
237
238P_i is grouped with K_{i+1}.  -Inf key is not needed.
239
240There are couple of additional notes regarding K_{n+1} key.
2411) In entry tree rightmost page, a key coupled with P_n doesn't really matter.
242Highkey is assumed to be infinity.
2432) In posting tree, a key coupled with P_n always doesn't matter.  Highkey for
244non-rightmost pages is stored separately and accessed via
245GinDataPageGetRightBound().
246
247Posting tree
248------------
249
250If a posting list is too large to store in-line in a key entry, a posting tree
251is created. A posting tree is a B-tree structure, where the ItemPointer is
252used as the key.
253
254Internal posting tree pages use the standard PageHeader and the same "opaque"
255struct as other GIN page, but do not contain regular index tuples. Instead,
256the contents of the page is an array of PostingItem structs. Each PostingItem
257consists of the block number of the child page, and the right bound of that
258child page, as an ItemPointer. The right bound of the page is stored right
259after the page header, before the PostingItem array.
260
261Posting tree leaf pages also use the standard PageHeader and opaque struct,
262and the right bound of the page is stored right after the page header, but
263the page content comprises of a number of compressed posting lists. The
264compressed posting lists are stored one after each other, between page header
265and pd_lower. The space between pd_lower and pd_upper is unused, which allows
266full-page images of posting tree leaf pages to skip the unused space in middle
267(buffer_std = true in XLogRecData).
268
269The item pointers are stored in a number of independent compressed posting
270lists (also called segments), instead of one big one, to make random access
271to a given item pointer faster: to find an item in a compressed list, you
272have to read the list from the beginning, but when the items are split into
273multiple lists, you can first skip over to the list containing the item you're
274looking for, and read only that segment. Also, an update only needs to
275re-encode the affected segment.
276
277Posting List Compression
278------------------------
279
280To fit as many item pointers on a page as possible, posting tree leaf pages
281and posting lists stored inline in entry tree leaf tuples use a lightweight
282form of compression. We take advantage of the fact that the item pointers
283are stored in sorted order. Instead of storing the block and offset number of
284each item pointer separately, we store the difference from the previous item.
285That in itself doesn't do much, but it allows us to use so-called varbyte
286encoding to compress them.
287
288Varbyte encoding is a method to encode integers, allowing smaller numbers to
289take less space at the cost of larger numbers. Each integer is represented by
290variable number of bytes. High bit of each byte in varbyte encoding determines
291whether the next byte is still part of this number. Therefore, to read a single
292varbyte encoded number, you have to read bytes until you find a byte with the
293high bit not set.
294
295When encoding, the block and offset number forming the item pointer are
296combined into a single integer. The offset number is stored in the 11 low
297bits (see MaxHeapTuplesPerPageBits in ginpostinglist.c), and the block number
298is stored in the higher bits. That requires 43 bits in total, which
299conveniently fits in at most 6 bytes.
300
301A compressed posting list is passed around and stored on disk in a
302PackedPostingList struct. The first item in the list is stored uncompressed
303as a regular ItemPointerData, followed by the length of the list in bytes,
304followed by the packed items.
305
306Concurrency
307-----------
308
309The entry tree and each posting tree are B-trees, with right-links connecting
310sibling pages at the same level.  This is the same structure that is used in
311the regular B-tree indexam (invented by Lehman & Yao), but we don't support
312scanning a GIN trees backwards, so we don't need left-links.  The entry tree
313leaves don't have dedicated high keys, instead greatest leaf tuple serves as
314high key.  That works because tuples are never deleted from the entry tree.
315
316The algorithms used to operate entry and posting trees are considered below.
317
318### Locating the leaf page
319
320When we search for leaf page in GIN btree to perform a read, we descend from
321the root page to the leaf through using downlinks taking pin and shared lock on
322one page at once.  So, we release pin and shared lock on previous page before
323getting them on the next page.
324
325The picture below shows tree state after finding the leaf page.  Lower case
326letters depicts tree pages.  'S' depicts shared lock on the page.
327
328               a
329           /   |   \
330       b       c       d
331     / | \     | \     | \
332   eS  f   g   h   i   j   k
333
334### Steping right
335
336Concurrent page splits move the keyspace to right, so after following a
337downlink, the page actually containing the key we're looking for might be
338somewhere to the right of the page we landed on.  In that case, we follow the
339right-links until we find the page we're looking for.
340
341During stepping right we take pin and shared lock on the right sibling before
342releasing them from the current page.  This mechanism was designed to protect
343from stepping to delete page.  We step to the right sibling while hold lock on
344the rightlink pointing there.  So, it's guaranteed that nobody updates rightlink
345concurrently and doesn't delete right sibling accordingly.
346
347The picture below shows two pages locked at once during stepping right.
348
349               a
350           /   |   \
351       b       c       d
352     / | \     | \     | \
353   eS  fS  g   h   i   j   k
354
355### Insert
356
357While finding appropriate leaf for insertion we also descend from the root to
358leaf, while shared locking one page at once in.  But during insertion we don't
359release pins from root and internal pages.  That could save us some lookups to
360the buffers hash table for downlinks insertion assuming parents are not changed
361due to concurrent splits.  Once we reach leaf we re-lock the page in exclusive
362mode.
363
364The picture below shows leaf page locked in exclusive mode and ready for
365insertion.  'P' and 'E' depict pin and exclusive lock correspondingly.
366
367
368               aP
369           /   |   \
370       b       cP      d
371     / | \     | \     | \
372   e   f   g   hE  i   j   k
373
374
375If insert causes a page split, the parent is locked in exclusive mode before
376unlocking the left child.  So, insertion algorithm can exclusively lock both
377parent and child pages at once starting from child.
378
379The picture below shows tree state after leaf page split.  'q' is new page
380produced by split.  Parent 'c' is about to have downlink inserted.
381
382                  aP
383            /     |   \
384       b          cE      d
385     / | \      / | \     | \
386   e   f   g  hE  q   i   j   k
387
388
389### Page deletion
390
391Vacuum never deletes tuples or pages from the entry tree. It traverses entry
392tree leafs in logical order by rightlinks and removes deletable TIDs from
393posting lists. Posting trees are processed by links from entry tree leafs. They
394are vacuumed in two stages. At first stage, deletable TIDs are removed from
395leafs. If first stage detects at least one empty page, then at the second stage
396ginScanToDelete() deletes empty pages.
397
398ginScanToDelete() traverses the whole tree in depth-first manner.  It starts
399from the super-exclusive lock on the tree root.  This lock prevents all the
400concurrent insertions into this tree while we're deleting pages.  However,
401there are still might be some in-progress readers, who traversed root before
402we locked it.
403
404The picture below shows tree state after page deletion algorithm traversed to
405leftmost leaf of the tree.
406
407               aE
408           /   |   \
409       bE      c       d
410     / | \     | \     | \
411   eE  f   g   h   i   j   k
412
413Deletion algorithm keeps exclusive locks on left siblings of pages comprising
414currently investigated path.  Thus, if current page is to be removed, all
415required pages to remove both downlink and rightlink are already locked.  That
416evades potential right to left page locking order, which could deadlock with
417concurrent stepping right.
418
419A search concurrent to page deletion might already have read a pointer to the
420page to be deleted, and might be just about to follow it.  A page can be reached
421via the right-link of its left sibling, or via its downlink in the parent.
422
423To prevent a backend from reaching a deleted page via a right-link, stepping
424right algorithm doesn't release lock on the current page until lock of the
425right page is acquired.
426
427The downlink is more tricky.  A search descending the tree must release the lock
428on the parent page before locking the child, or it could deadlock with a
429concurrent split of the child page; a page split locks the parent, while already
430holding a lock on the child page.  So, deleted page cannot be reclaimed
431immediately.  Instead, we have to wait for every transaction, which might wait
432to reference this page, to finish.  Corresponding processes must observe that
433the page is marked deleted and recover accordingly.
434
435The picture below shows tree state after page deletion algorithm further
436traversed the tree.  Currently investigated path is 'a-c-h'.  Left siblings 'b'
437and 'g' of 'c' and 'h' correspondingly are also exclusively locked.
438
439               aE
440           /   |   \
441       bE      cE      d
442     / | \     | \     | \
443   e   f   gE  hE  i   j   k
444
445The next picture shows tree state after page 'h' was deleted.  It's marked with
446'deleted' flag and newest xid, which might visit it.  Downlink from 'c' to 'h'
447is also deleted.
448
449               aE
450           /   |   \
451       bE      cE      d
452     / | \       \     | \
453   e   f   gE  hD  iE  j   k
454
455However, it's still possible that concurrent reader has seen downlink from 'c'
456to 'h' before we deleted it.  In that case this reader will step right from 'h'
457to till find non-deleted page.  Xid-marking of page 'h' guarantees that this
458page wouldn't be reused till all such readers gone.  Next leaf page under
459investigation is 'i'.  'g' remains locked as it becomes left sibling of 'i'.
460
461The next picture shows tree state after 'i' and 'c' was deleted.  Internal page
462'c' was deleted because it appeared to have no downlinks.  The path under
463investigation is 'a-d-j'.  Pages 'b' and 'g' are locked as self siblings of 'd'
464and 'j'.
465
466               aE
467           /       \
468       bE      cD      dE
469     / | \             | \
470   e   f   gE  hD  iD  jE  k
471
472During the replay of page deletion at standby, the page's left sibling, the
473target page, and its parent, are locked in that order.  This order guarantees
474no deadlock with concurrent reads.
475
476Compatibility
477-------------
478
479Compression of TIDs was introduced in 9.4. Some GIN indexes could remain in
480uncompressed format because of pg_upgrade from 9.3 or earlier versions.
481For compatibility, old uncompressed format is also supported. Following
482rules are used to handle it:
483
484* GIN_ITUP_COMPRESSED flag marks index tuples that contain a posting list.
485This flag is stored in high bit of ItemPointerGetBlockNumber(&itup->t_tid).
486Use GinItupIsCompressed(itup) to check the flag.
487
488* Posting tree pages in the new format are marked with the GIN_COMPRESSED flag.
489  Macros GinPageIsCompressed(page) and GinPageSetCompressed(page) are used to
490  check and set this flag.
491
492* All scan operations check format of posting list add use corresponding code
493to read its content.
494
495* When updating an index tuple containing an uncompressed posting list, it
496will be replaced with new index tuple containing a compressed list.
497
498* When updating an uncompressed posting tree leaf page, it's compressed.
499
500* If vacuum finds some dead TIDs in uncompressed posting lists, they are
501converted into compressed posting lists. This assumes that the compressed
502posting list fits in the space occupied by the uncompressed list. IOW, we
503assume that the compressed version of the page, with the dead items removed,
504takes less space than the old uncompressed version.
505
506Limitations
507-----------
508
509  * Gin doesn't use scan->kill_prior_tuple & scan->ignore_killed_tuples
510  * Gin searches entries only by equality matching, or simple range
511    matching using the "partial match" feature.
512
513TODO
514----
515
516Nearest future:
517
518  * Opclasses for more types (no programming, just many catalog changes)
519
520Distant future:
521
522  * Replace B-tree of entries to something like GiST
523
524Authors
525-------
526
527Original work was done by Teodor Sigaev (teodor@sigaev.ru) and Oleg Bartunov
528(oleg@sai.msu.su).
529