--- title: "ltree — hierarchical tree-like data type" id: ltree pg_version: "20devel" --- ## F.22. ltree — hierarchical tree-like data type 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. This module is considered "trusted", that is, it can be installed by non-superusers who have `CREATE` privilege on the current database. ### F.22.1. Definitions A *label* is a sequence of alphanumeric characters, underscores, and hyphens. Valid alphanumeric character ranges are dependent on the database locale. For example, in C locale, the characters `A-Za-z0-9_-` are allowed. Labels must be no more than 1000 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: - `ltree` stores a label path. - `lquery` represents a regular-expression-like pattern for matching `ltree` values. A simple word matches that label within a path. A star symbol (`*`) matches zero or more labels. These can be joined with dots to form a pattern that must match the whole label path. 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 ``` Both star symbols and simple words can be quantified to restrict how many labels they can match: ``` *{n} Match exactly n labels *{n,} Match at least n labels *{n,m} Match at least n but not more than m labels *{,m} Match at most m labels — same as *{0,m} foo{n,m} Match at least n but not more than m occurrences of foo foo{,} Match any number of occurrences of foo, including zero ``` In the absence of any explicit quantifier, the default for a star symbol is to match any number of labels (that is, `{,}`) while the default for a non-star item is to match exactly once (that is, `{1}`). There are several modifiers that can be put at the end of a non-star `lquery` item to 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_baz` but not `foo_barbaz`. If combined with `*`, prefix matching applies to each word separately, for example `foo_bar%*` matches `foo1_bar2_baz` but not `foo1_br2_baz`. Also, you can write several possibly-modified non-star items separated with `|` (OR) to match any of those items, and you can put `!` (NOT) at the start of a non-star group to match any label that doesn't match any of the alternatives. A quantifier, if any, goes at the end of the group; it means some number of matches for the group as a whole (that is, some number of labels matching or not matching any of the alternatives). Here's an annotated example of `lquery`: Top.*{0,2}.sport*@.!football|tennis{1,}.Russ*|Spain a. b. c. d. e. This query will match any label path that: 1. begins with the label `Top` 2. and next has zero to two labels before 3. a label beginning with the case-insensitive prefix `sport` 4. then has one or more labels, none of which match `football` nor `tennis` 5. and then ends with a label beginning with `Russ` or exactly matching `Spain`. - `ltxtquery` represents a full-text-search-like pattern for matching `ltree` values. An `ltxtquery` value 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 `lquery` is that `ltxtquery` matches 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 `Europe` and 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.22.2. 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.12](ltree.md#ltree-op-table) are available. **ltree Operators** | Operator | 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
`lquery` `~` `ltree` → boolean | Does `ltree` match `lquery`? | | | `ltree` `?` `lquery[]` → boolean
`lquery[]` `?` `ltree` → boolean | Does `ltree` match any `lquery` in array? | | | `ltree` `@` `ltxtquery` → boolean
`ltxtquery` `@` `ltree` → boolean | Does `ltree` match `ltxtquery`? | | | `ltree` `\|\|` `ltree` → ltree | Concatenates `ltree` paths. | | | `ltree` `\|\|` `text` → ltree
`text` `\|\|` `ltree` → ltree | Converts text to `ltree` and concatenates. | | | `ltree[]` `@>` `ltree` → boolean
`ltree` `<@` `ltree[]` → boolean | Does array contain an ancestor of `ltree`? | | | `ltree[]` `<@` `ltree` → boolean
`ltree` `@>` `ltree[]` → boolean | Does array contain a descendant of `ltree`? | | | `ltree[]` `~` `lquery` → boolean
`lquery` `~` `ltree[]` → boolean | Does array contain any path matching `lquery`? | | | `ltree[]` `?` `lquery[]` → boolean
`lquery[]` `?` `ltree[]` → boolean | Does `ltree` array contain any path matching any `lquery`? | | | `ltree[]` `@` `ltxtquery` → boolean
`ltxtquery` `@` `ltree[]` → boolean | Does array contain any path matching `ltxtquery`? | | | `ltree[]` `?@>` `ltree` → ltree | Returns first array entry that is an ancestor of `ltree`, or `NULL` if none. | | | `ltree[]` `?<@` `ltree` → ltree | Returns first array entry that is a descendant of `ltree`, or `NULL` if none. | | | `ltree[]` `?~` `lquery` → ltree | Returns first array entry that matches `lquery`, or `NULL` if none. | | | `ltree[]` `?@` `ltxtquery` → ltree | Returns first array entry that matches `ltxtquery`, or `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.13](ltree.md#ltree-func-table). **ltree Functions** | Function | Description | Example(s) | | --- | --- | --- | | `subltree` ( `ltree`, `start` `integer`, `end` `integer` ) → ltree | Returns subpath of `ltree` from position `start` to position `end`-1 (counting from 0). | `subltree('Top.Child1.Child2', 1, 2)` → Child1 | | `subpath` ( `ltree`, `offset` `integer`, `len` `integer` ) → ltree | Returns subpath of `ltree` starting at position `offset`, with length `len`. If `offset` is negative, subpath starts that far from the end of the path. If `len` is negative, leaves that many labels off the end of the path. | `subpath('Top.Child1.Child2', 0, 2)` → Top.Child1 | | `subpath` ( `ltree`, `offset` `integer` ) → ltree | Returns subpath of `ltree` starting at position `offset`, extending to end of path. If `offset` is negative, subpath starts that far from the end of the path. | `subpath('Top.Child1.Child2', 1)` → Child1.Child2 | | `nlevel` ( `ltree` ) → integer | Returns number of labels in path. | `nlevel('Top.Child1.Child2')` → 3 | | `index` ( `a` `ltree`, `b` `ltree` ) → integer | Returns position of first occurrence of `b` in `a`, or -1 if not found. | `index('0.1.2.3.5.4.5.6.8.5.6.8', '5.6')` → 6 | | `index` ( `a` `ltree`, `b` `ltree`, `offset` `integer` ) → integer | Returns position of first occurrence of `b` in `a`, or -1 if not found. The search starts at position `offset`; negative `offset` means start `-offset` labels from the end of the path. | `index('0.1.2.3.5.4.5.6.8.5.6.8', '5.6', -4)` → 9 | | `text2ltree` ( `text` ) → ltree | Casts `text` to `ltree`. | | | `ltree2text` ( `ltree` ) → text | Casts `ltree` to `text`. | | | `lca` ( `ltree` [, `ltree` [, ... ]] ) → ltree | Computes longest common ancestor of paths (up to 8 arguments are supported). | `lca('1.2.3', '1.2.3.4.5.6')` → 1.2 | | `lca` ( `ltree[]` ) → ltree | Computes longest common ancestor of paths in array. | `lca(array['1.2.3'::ltree,'1.2.3.4'])` → 1.2 | ### F.22.3. Indexes `ltree` supports several types of indexes that can speed up the indicated operators: - B-tree index over `ltree`: `<`, `<=`, `=`, `>=`, `>` - Hash index over `ltree`: `=` - GiST index over `ltree` (`gist_ltree_ops` opclass): `<`, `<=`, `=`, `>=`, `>`, `@>`, `<@`, `@`, `~`, `?` `gist_ltree_ops` GiST opclass approximates a set of path labels as a bitmap signature. Its optional integer parameter `siglen` determines the signature length in bytes. The default signature length is 8 bytes. The length must be a positive multiple of `int` alignment (4 bytes on most machines) up to 2024. Longer signatures lead to a more precise search (scanning a smaller fraction of the index and fewer heap pages), at the cost of a larger index. Example of creating such an index with the default signature length of 8 bytes: CREATE INDEX path_gist_idx ON test USING GIST (path); Example of creating such an index with a signature length of 100 bytes: CREATE INDEX path_gist_idx ON test USING GIST (path gist_ltree_ops(siglen=100)); - GiST index over `ltree[]` (`gist__ltree_ops` opclass): `ltree[] <@ ltree`, `ltree @> ltree[]`, `@`, `~`, `?` `gist__ltree_ops` GiST opclass works similarly to `gist_ltree_ops` and also takes signature length as a parameter. The default value of `siglen` in `gist__ltree_ops` is 28 bytes. Example of creating such an index with the default signature length of 28 bytes: CREATE INDEX path_gist_idx ON test USING GIST (array_path); Example of creating such an index with a signature length of 100 bytes: CREATE INDEX path_gist_idx ON test USING GIST (array_path gist__ltree_ops(siglen=100)); Note: This index type is lossy. ### F.22.4. 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); CREATE INDEX path_hash_idx ON test USING HASH (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 an 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.22.5. Transforms The `ltree_plpython3u` extension implements transforms for the `ltree` type for PL/Python. If installed and specified when creating a function, `ltree` values are mapped to Python lists. (The reverse is currently not supported, however.) ### F.22.6. Authors All work was done by Teodor Sigaev () and Oleg Bartunov (). See [http://www.sai.msu.su/~megera/postgres/gist/](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.