F.22. ltree — hierarchical tree-like data type (original) (raw)
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 matchingltree
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 pathfoo
.foo. Match any label path containing the labelfoo
*.foo Match any label path whose last label isfoo
Both star symbols and simple words can be quantified to restrict how many labels they can match:
*{n
} Match exactlyn
labels
*{n
,} Match at leastn
labels
*{n
,m
} Match at leastn
but not more thanm
labels
*{,m
} Match at mostm
labels — same as *{0,m
}
foo{n
,m
} Match at leastn
but not more thanm
occurrences offoo
foo{,} Match any number of occurrences offoo
, 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-starlquery
item to make it match more than just the exact match:
@ Match case-insensitively, for examplea@
matchesA
_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:
- begins with the label
Top
- and next has zero to two labels before
- a label beginning with the case-insensitive prefix
sport
- then has one or more labels, none of which match
football
nortennis
- and then ends with a label beginning with
Russ
or exactly matchingSpain
.
ltxtquery
represents a full-text-search-like pattern for matchingltree
values. Anltxtquery
value contains words, possibly with the modifiers@
,*
,%
at the end; the modifiers have the same meanings as inlquery
. Words can be combined with&
(AND),|
(OR),!
(NOT), and parentheses. The key difference fromlquery
is thatltxtquery
matches words without regard to their position in the label path.
Here's an exampleltxtquery
:
Europe & Russia*@ & !Transportation
This will match paths that contain the labelEurope
and any label beginning withRussia
(case-insensitive), but not paths containing the labelTransportation
. 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 are available.
Table F.12. 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 → 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.
Table F.13. 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 parametersiglen
determines the signature length in bytes. The default signature length is 8 bytes. The length must be a positive multiple ofint
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 togist_ltree_ops
and also takes signature length as a parameter. The default value ofsiglen
ingist__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(3 || subpath(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.)
Caution
It is strongly recommended that the transform extension 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.