F.20. ltree
 This module implements a data type ltree for representing labels of data stored in a hierarchical tree-like structure. Extensive facilities for searching through label trees are provided. 
F.20.1. Definitions
 A label is a sequence of alphanumeric characters and underscores (for example, in C locale the characters A-Za-z0-9_ are allowed). Labels must be less than 256 characters long. 
 Examples: 42, Personal_Services
 A label path is a sequence of zero or more labels separated by dots, for example L1.L2.L3, representing a path from the root of a hierarchical tree to a particular node. The length of a label path cannot exceed 65535 labels. 
 Example: Top.Countries.Europe.Russia
 The ltree module provides several data types: 
- ltreestores a label path.
- lqueryrepresents a regular-expression-like pattern for matching- ltreevalues. A simple word matches that label within a path. A star symbol (- *) matches zero or more labels. For example:- foo Match the exact label path - foo*.foo.* Match any label path containing the label- foo*.foo Match any label path whose last label is- foo- Star symbols can also be quantified to restrict how many labels they can match: - *{- n} Match exactly- nlabels *{- n,} Match at least- nlabels *{- n,- m} Match at least- nbut not more than- mlabels *{,- m} Match at most- mlabels — same as *{0,- m}- There are several modifiers that can be put at the end of a non-star label in - lqueryto make it match more than just the exact match:- @ Match case-insensitively, for example - a@matches- A* Match any label with this prefix, for example- foo*matches- foobar% Match initial underscore-separated words- The behavior of - %is a bit complicated. It tries to match words rather than the entire label. For example- foo_bar%matches- foo_bar_bazbut not- foo_barbaz. If combined with- *, prefix matching applies to each word separately, for example- foo_bar%*matches- foo1_bar2_bazbut not- foo1_br2_baz.- Also, you can write several possibly-modified labels separated with - |(OR) to match any of those labels, and you can put- !(NOT) at the start to match any label that doesn't match any of the alternatives.- Here's an annotated example of - lquery:- Top.*{0,2}.sport*@.!football|tennis.Russ*|Spain a. b. c. d. e.- This query will match any label path that: - begins with the label - Top
- and next has zero to two labels before 
- a label beginning with the case-insensitive prefix - sport
- then a label not matching - footballnor- tennis
- and then ends with a label beginning with - Russor exactly matching- Spain.
 
- ltxtqueryrepresents a full-text-search-like pattern for matching- ltreevalues. An- ltxtqueryvalue contains words, possibly with the modifiers- @,- *,- %at the end; the modifiers have the same meanings as in- lquery. Words can be combined with- &(AND),- |(OR),- !(NOT), and parentheses. The key difference from- lqueryis that- ltxtquerymatches words without regard to their position in the label path.- Here's an example - ltxtquery:- Europe & Russia*@ & !Transportation - This will match paths that contain the label - Europeand any label beginning with- Russia(case-insensitive), but not paths containing the label- Transportation. The location of these words within the path is not important. Also, when- %is used, the word can be matched to any underscore-separated word within a label, regardless of position.
 Note: ltxtquery allows whitespace between symbols, but ltree and lquery do not. 
F.20.2. Operators and Functions
 Type ltree has the usual comparison operators =, <>, <, >, <=, >=. Comparison sorts in the order of a tree traversal, with the children of a node sorted by label text. In addition, the specialized operators shown in Table F.14 are available. 
Table F.14. ltree Operators
| Operator | Returns | Description | 
|---|---|---|
| ltree@>ltree | boolean | is left argument an ancestor of right (or equal)? | 
| ltree<@ltree | boolean | is left argument a descendant of right (or equal)? | 
| ltree~lquery | boolean | does ltreematchlquery? | 
| lquery~ltree | boolean | does ltreematchlquery? | 
| ltree?lquery[] | boolean | does ltreematch anylqueryin array? | 
| lquery[]?ltree | boolean | does ltreematch anylqueryin array? | 
| ltree@ltxtquery | boolean | does ltreematchltxtquery? | 
| ltxtquery@ltree | boolean | does ltreematchltxtquery? | 
| ltree||ltree | ltree | concatenate ltreepaths | 
| ltree||text | ltree | convert text to ltreeand concatenate | 
| text||ltree | ltree | convert text to ltreeand concatenate | 
| ltree[]@>ltree | boolean | does array contain an ancestor of ltree? | 
| ltree<@ltree[] | boolean | does array contain an ancestor of ltree? | 
| ltree[]<@ltree | boolean | does array contain a descendant of ltree? | 
| ltree@>ltree[] | boolean | does array contain a descendant of ltree? | 
| ltree[]~lquery | boolean | does array contain any path matching lquery? | 
| lquery~ltree[] | boolean | does array contain any path matching lquery? | 
| ltree[]?lquery[] | boolean | does ltreearray contain any path matching anylquery? | 
| lquery[]?ltree[] | boolean | does ltreearray contain any path matching anylquery? | 
| ltree[]@ltxtquery | boolean | does array contain any path matching ltxtquery? | 
| ltxtquery@ltree[] | boolean | does array contain any path matching ltxtquery? | 
| ltree[]?@>ltree | ltree | first array entry that is an ancestor of ltree; NULL if none | 
| ltree[]?<@ltree | ltree | first array entry that is a descendant of ltree; NULL if none | 
| ltree[]?~lquery | ltree | first array entry that matches lquery; NULL if none | 
| ltree[]?@ltxtquery | ltree | first array entry that matches ltxtquery; NULL if none | 
 The operators <@, @>, @ and ~ have analogues ^<@, ^@>, ^@, ^~, which are the same except they do not use indexes. These are useful only for testing purposes. 
The available functions are shown in Table F.15.
Table F.15. ltree Functions
F.20.3. Indexes
ltree supports several types of indexes that can speed up the indicated operators: 
- B-tree index over - ltree:- <,- <=,- =,- >=,- >
- GiST index over - ltree:- <,- <=,- =,- >=,- >,- @>,- <@,- @,- ~,- ?- Example of creating such an index: - CREATE INDEX path_gist_idx ON test USING GIST (path); 
- GiST index over - ltree[]:- ltree[] <@ ltree,- ltree @> ltree[],- @,- ~,- ?- Example of creating such an index: - CREATE INDEX path_gist_idx ON test USING GIST (array_path); - Note: This index type is lossy. 
F.20.4. Example
 This example uses the following data (also available in file contrib/ltree/ltreetest.sql in the source distribution): 
CREATE TABLE test (path ltree);
INSERT INTO test VALUES ('Top');
INSERT INTO test VALUES ('Top.Science');
INSERT INTO test VALUES ('Top.Science.Astronomy');
INSERT INTO test VALUES ('Top.Science.Astronomy.Astrophysics');
INSERT INTO test VALUES ('Top.Science.Astronomy.Cosmology');
INSERT INTO test VALUES ('Top.Hobbies');
INSERT INTO test VALUES ('Top.Hobbies.Amateurs_Astronomy');
INSERT INTO test VALUES ('Top.Collections');
INSERT INTO test VALUES ('Top.Collections.Pictures');
INSERT INTO test VALUES ('Top.Collections.Pictures.Astronomy');
INSERT INTO test VALUES ('Top.Collections.Pictures.Astronomy.Stars');
INSERT INTO test VALUES ('Top.Collections.Pictures.Astronomy.Galaxies');
INSERT INTO test VALUES ('Top.Collections.Pictures.Astronomy.Astronauts');
CREATE INDEX path_gist_idx ON test USING GIST (path);
CREATE INDEX path_idx ON test USING BTREE (path);
 Now, we have a table test populated with data describing the hierarchy shown below: 
                        Top
                     /   |  \
             Science Hobbies Collections
                 /       |              \
        Astronomy   Amateurs_Astronomy Pictures
           /  \                            |
Astrophysics  Cosmology                Astronomy
                                        /  |    \
                                 Galaxies Stars Astronauts
We can do inheritance:
ltreetest=> SELECT path FROM test WHERE path <@ 'Top.Science';
                path
------------------------------------
 Top.Science
 Top.Science.Astronomy
 Top.Science.Astronomy.Astrophysics
 Top.Science.Astronomy.Cosmology
(4 rows)
Here are some examples of path matching:
ltreetest=> SELECT path FROM test WHERE path ~ '*.Astronomy.*';
                     path
-----------------------------------------------
 Top.Science.Astronomy
 Top.Science.Astronomy.Astrophysics
 Top.Science.Astronomy.Cosmology
 Top.Collections.Pictures.Astronomy
 Top.Collections.Pictures.Astronomy.Stars
 Top.Collections.Pictures.Astronomy.Galaxies
 Top.Collections.Pictures.Astronomy.Astronauts
(7 rows)
ltreetest=> SELECT path FROM test WHERE path ~ '*.!pictures@.*.Astronomy.*';
                path
------------------------------------
 Top.Science.Astronomy
 Top.Science.Astronomy.Astrophysics
 Top.Science.Astronomy.Cosmology
(3 rows)
Here are some examples of full text search:
ltreetest=> SELECT path FROM test WHERE path @ 'Astro*% & !pictures@';
                path
------------------------------------
 Top.Science.Astronomy
 Top.Science.Astronomy.Astrophysics
 Top.Science.Astronomy.Cosmology
 Top.Hobbies.Amateurs_Astronomy
(4 rows)
ltreetest=> SELECT path FROM test WHERE path @ 'Astro* & !pictures@';
                path
------------------------------------
 Top.Science.Astronomy
 Top.Science.Astronomy.Astrophysics
 Top.Science.Astronomy.Cosmology
(3 rows)
Path construction using functions:
ltreetest=> SELECT subpath(path,0,2)||'Space'||subpath(path,2) FROM test WHERE path <@ 'Top.Science.Astronomy';
                 ?column?
------------------------------------------
 Top.Science.Space.Astronomy
 Top.Science.Space.Astronomy.Astrophysics
 Top.Science.Space.Astronomy.Cosmology
(3 rows)
We could simplify this by creating a SQL function that inserts a label at a specified position in a path:
CREATE FUNCTION ins_label(ltree, int, text) RETURNS ltree
    AS 'select subpath($1,0,$2) || $3 || subpath($1,$2);'
    LANGUAGE SQL IMMUTABLE;
ltreetest=> SELECT ins_label(path,2,'Space') FROM test WHERE path <@ 'Top.Science.Astronomy';
                ins_label
------------------------------------------
 Top.Science.Space.Astronomy
 Top.Science.Space.Astronomy.Astrophysics
 Top.Science.Space.Astronomy.Cosmology
(3 rows)
F.20.5. Transforms
 Additional extensions are available that implement transforms for the ltree type for PL/Python. The extensions are called ltree_plpythonu, ltree_plpython2u, and ltree_plpython3u (see Section 43.1 for the PL/Python naming convention). If you install these transforms and specify them when creating a function, ltree values are mapped to Python lists. (The reverse is currently not supported, however.) 
Caution
 It is strongly recommended that the transform extensions be installed in the same schema as ltree. Otherwise there are installation-time security hazards if a transform extension's schema contains objects defined by a hostile user. 
F.20.6. Authors
 All work was done by Teodor Sigaev (<teodor@stack.net>) and Oleg Bartunov (<oleg@sai.msu.su>). See http://www.sai.msu.su/~megera/postgres/gist/ for additional information. Authors would like to thank Eugeny Rodichev for helpful discussions. Comments and bug reports are welcome.