CREATE OPERATOR — define a new operator
CREATE OPERATORname( {FUNCTION|PROCEDURE} =function_name[, LEFTARG =left_type] [, RIGHTARG =right_type] [, COMMUTATOR =com_op] [, NEGATOR =neg_op] [, RESTRICT =res_proc] [, JOIN =join_proc] [, HASHES ] [, MERGES ] )
   CREATE OPERATOR defines a new operator,
   name.  The user who
   defines an operator becomes its owner.  If a schema name is given
   then the operator is created in the specified schema.  Otherwise it
   is created in the current schema.
  
   The operator name is a sequence of up to NAMEDATALEN-1
   (63 by default) characters from the following list:
+ - * / < > = ~ ! @ # % ^ & | ` ?
There are a few restrictions on your choice of name:
     -- and /* cannot appear anywhere in an operator name,
     since they will be taken as the start of a comment.
     
     A multicharacter operator name cannot end in + or
     -,
     unless the name also contains at least one of these characters:
~ ! @ # % ^ & | ` ?
     For example, @- is an allowed operator name,
     but *- is not.
     This restriction allows PostgreSQL to
     parse SQL-compliant commands without requiring spaces between tokens.
     
     The symbol => is reserved by the SQL grammar,
     so it cannot be used as an operator name.
     
   The operator != is mapped to
   <> on input, so these two names are always
   equivalent.
  
   For binary operators, both LEFTARG and
   RIGHTARG must be defined.  For prefix operators only
   RIGHTARG should be defined.
   The function_name
   function must have been previously defined using CREATE
   FUNCTION and must be defined to accept the correct number
   of arguments (either one or two) of the indicated types.
  
   In the syntax of CREATE OPERATOR, the keywords
   FUNCTION and PROCEDURE are
   equivalent, but the referenced function must in any case be a function, not
   a procedure.  The use of the keyword PROCEDURE here is
   historical and deprecated.
  
The other clauses specify optional operator optimization attributes. Their meaning is detailed in Section 36.15.
   To be able to create an operator, you must have USAGE
   privilege on the argument types and the return type, as well
   as EXECUTE privilege on the underlying function.  If a
   commutator or negator operator is specified, you must own those operators.
  
name
        The name of the operator to be defined. See above for allowable
        characters.  The name can be schema-qualified, for example
        CREATE OPERATOR myschema.+ (...).  If not, then
        the operator is created in the current schema.  Two operators
        in the same schema can have the same name if they operate on
        different data types.  This is called
        overloading.
       
function_nameThe function used to implement this operator.
left_typeThe data type of the operator's left operand, if any. This option would be omitted for a prefix operator.
right_typeThe data type of the operator's right operand.
com_opThe commutator of this operator.
neg_opThe negator of this operator.
res_procThe restriction selectivity estimator function for this operator.
join_procThe join selectivity estimator function for this operator.
HASHESIndicates this operator can support a hash join.
MERGESIndicates this operator can support a merge join.
   To give a schema-qualified operator name in com_op or the other optional
   arguments, use the OPERATOR() syntax, for example:
COMMUTATOR = OPERATOR(myschema.===) ,
Refer to Section 36.14 and Section 36.15 for further information.
When you are defining a self-commutative operator, you just do it. When you are defining a pair of commutative operators, things are a little trickier: how can the first one to be defined refer to the other one, which you haven't defined yet? There are three solutions to this problem:
      One way is to omit the COMMUTATOR clause in the
      first operator that you define, and then provide one in the second
      operator's definition.  Since PostgreSQL
      knows that commutative operators come in pairs, when it sees the
      second definition it will automatically go back and fill in the
      missing COMMUTATOR clause in the first
      definition.
     
      Another, more straightforward way is just to
      include COMMUTATOR clauses in both definitions.
      When PostgreSQL processes the first
      definition and realizes that COMMUTATOR refers to
      a nonexistent operator, the system will make a dummy entry for that
      operator in the system catalog.  This dummy entry will have valid
      data only for the operator name, left and right operand types, and
      owner, since that's all that PostgreSQL
      can deduce at this point.  The first operator's catalog entry will
      link to this dummy entry.  Later, when you define the second
      operator, the system updates the dummy entry with the additional
      information from the second definition.  If you try to use the dummy
      operator before it's been filled in, you'll just get an error
      message.
     
      Alternatively, both operators can be defined
      without COMMUTATOR clauses
      and then ALTER OPERATOR can be used to set their
      commutator links.  It's sufficient to ALTER
      either one of the pair.
     
In all three cases, you must own both operators in order to mark them as commutators.
Pairs of negator operators can be defined using the same methods as for commutator pairs.
   It is not possible to specify an operator's lexical precedence in
   CREATE OPERATOR, because the parser's precedence behavior
   is hard-wired.  See Section 4.1.6 for precedence details.
  
   The obsolete options SORT1, SORT2,
   LTCMP, and GTCMP were formerly used to
   specify the names of sort operators associated with a merge-joinable
   operator.  This is no longer necessary, since information about
   associated operators is found by looking at B-tree operator families
   instead.  If one of these options is given, it is ignored except
   for implicitly setting MERGES true.
  
   Use DROP OPERATOR to delete user-defined operators
   from a database.  Use ALTER OPERATOR to modify operators in a
   database.
  
   The following command defines a new operator, area-equality, for
   the data type box:
CREATE OPERATOR === (
    LEFTARG = box,
    RIGHTARG = box,
    FUNCTION = area_equal_function,
    COMMUTATOR = ===,
    NEGATOR = !==,
    RESTRICT = area_restriction_function,
    JOIN = area_join_function,
    HASHES, MERGES
);
   CREATE OPERATOR is a
   PostgreSQL extension.  There are no
   provisions for user-defined operators in the SQL standard.