65.2. Built-in Operator Classes

The core PostgreSQL distribution includes the GiST operator classes shown in Table 65.1. (Some of the optional modules described in Appendix F provide additional GiST operator classes.)

Table 65.1. Built-in GiST Operator Classes

Name Indexable Operators Ordering Operators
box_ops << (box, box) <-> (box, point)
&< (box, box)
&& (box, box)
&> (box, box)
>> (box, box)
~= (box, box)
@> (box, box)
<@ (box, box)
&<| (box, box)
<<| (box, box)
|>> (box, box)
|&> (box, box)
~ (box, box)
@ (box, box)
circle_ops << (circle, circle) <-> (circle, point)
&< (circle, circle)
&> (circle, circle)
>> (circle, circle)
<@ (circle, circle)
@> (circle, circle)
~= (circle, circle)
&& (circle, circle)
|>> (circle, circle)
<<| (circle, circle)
&<| (circle, circle)
|&> (circle, circle)
@ (circle, circle)
~ (circle, circle)
inet_ops << (inet, inet)
<<= (inet, inet)
>> (inet, inet)
>>= (inet, inet)
= (inet, inet)
<> (inet, inet)
< (inet, inet)
<= (inet, inet)
> (inet, inet)
>= (inet, inet)
&& (inet, inet)
multirange_ops = (anymultirange, anymultirange)
&& (anymultirange, anymultirange)
&& (anymultirange, anyrange)
@> (anymultirange, anyelement)
@> (anymultirange, anymultirange)
@> (anymultirange, anyrange)
<@ (anymultirange, anymultirange)
<@ (anymultirange, anyrange)
<< (anymultirange, anymultirange)
<< (anymultirange, anyrange)
>> (anymultirange, anymultirange)
>> (anymultirange, anyrange)
&< (anymultirange, anymultirange)
&< (anymultirange, anyrange)
&> (anymultirange, anymultirange)
&> (anymultirange, anyrange)
-|- (anymultirange, anymultirange)
-|- (anymultirange, anyrange)
point_ops |>> (point, point) <-> (point, point)
<< (point, point)
>> (point, point)
<<| (point, point)
~= (point, point)
<@ (point, box)
<@ (point, polygon)
<@ (point, circle)
poly_ops << (polygon, polygon) <-> (polygon, point)
&< (polygon, polygon)
&> (polygon, polygon)
>> (polygon, polygon)
<@ (polygon, polygon)
@> (polygon, polygon)
~= (polygon, polygon)
&& (polygon, polygon)
<<| (polygon, polygon)
&<| (polygon, polygon)
|&> (polygon, polygon)
|>> (polygon, polygon)
@ (polygon, polygon)
~ (polygon, polygon)
range_ops = (anyrange, anyrange)
&& (anyrange, anyrange)
&& (anyrange, anymultirange)
@> (anyrange, anyelement)
@> (anyrange, anyrange)
@> (anyrange, anymultirange)
<@ (anyrange, anyrange)
<@ (anyrange, anymultirange)
<< (anyrange, anyrange)
<< (anyrange, anymultirange)
>> (anyrange, anyrange)
>> (anyrange, anymultirange)
&< (anyrange, anyrange)
&< (anyrange, anymultirange)
&> (anyrange, anyrange)
&> (anyrange, anymultirange)
-|- (anyrange, anyrange)
-|- (anyrange, anymultirange)
tsquery_ops <@ (tsquery, tsquery)
@> (tsquery, tsquery)
tsvector_ops @@ (tsvector, tsquery)

For historical reasons, the inet_ops operator class is not the default class for types inet and cidr. To use it, mention the class name in CREATE INDEX, for example

CREATE INDEX ON my_table USING GIST (my_inet_column inet_ops);

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https://www.postgresql.org/docs/14/gist-builtin-opclasses.html