Description
  
   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 one
   at the front of the search path; see CURRENT_SCHEMA()).
  
   Two operators in the same schema can have the same name if they operate on
   different data types.  This is called overloading.  The
   system will attempt to pick the intended operator based on the actual
   input data types when there is ambiguity.
  
   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:
   
-      $ cannot be defined as a single-character operator,
     although it can be part of a multicharacter operator 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 queries without requiring spaces between tokens.
   
Note:      When working with non-SQL-standard operator names, you will usually
     need to separate adjacent operators with spaces to avoid ambiguity.
     For example, if you have defined a left-unary operator named @,
     you cannot write X*@Y; you must write
     X* @Y to ensure that
     PostgreSQL reads it as two operator names
     not one.
     
   
  
   The operator != is mapped to <> on input, so these two names
   are always equivalent.
  
   At least one of LEFTARG and RIGHTARG must be defined.  For
   binary operators, both should be defined. For right  unary
   operators,  only  LEFTARG  should  be defined, while for left
   unary operators only RIGHTARG should be defined.
  
   The
   func_name procedure 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.
  
   The commutator operator should be identified if one exists,
   so that PostgreSQL can
   reverse the order of the operands if it wishes.
   For example, the operator area-less-than, <<<,
   would probably have a commutator
   operator, area-greater-than, >>>.
   Hence, the query optimizer could freely  convert:
   
box '((0,0), (1,1))'  >>> MYBOXES.description
   
   to
   
MYBOXES.description <<< box '((0,0), (1,1))'
   
  
   This  allows  the  execution code to always use the latter
   representation and simplifies the  query  optimizer  somewhat.
  
   Similarly, if there is a negator operator then it should be
   identified.
   Suppose  that  an
   operator,  area-equal, ===, exists, as well as an area not
   equal, !==.
   The negator link allows the query optimizer to simplify
   
NOT MYBOXES.description === box '((0,0), (1,1))'
   
   to
   
MYBOXES.description !== box '((0,0), (1,1))'
   
  
   If  a  commutator  operator  name  is  supplied,  
   PostgreSQL
   searches  for  it  in  the catalog.  If it is found and it
   does not yet have a commutator itself, then the commutator's
   entry is updated to have the newly created operator as its
   commutator.  This applies to the negator, as well.
   This  is to allow the definition of two operators that are
   the commutators or the negators of each other.  The  first
   operator should be defined without a commutator or negator
   (as appropriate).  When the second  operator  is  defined,
   name  the  first  as the commutator or negator.  The first
   will be updated as a side effect.  (As of
   PostgreSQL 6.5, 
   it also works to just have both operators refer to each other.)
  
   The HASHES, MERGES, SORT1,
   SORT2, LTCMP, and GTCMP options
   are present to support the query optimizer in performing joins.
   PostgreSQL can always evaluate a join
   (i.e., processing a clause with two tuple variables separated by an
   operator that returns a boolean) by iterative
   substitution .  In addition,
   PostgreSQL can use a hash-join algorithm
   ; however, it must know whether this
   strategy is applicable.  The current hash-join algorithm is only
   correct for operators that represent equality tests; furthermore,
   equality of the data type must mean bitwise equality of the
   representation of the type.  (For example, a data type that
   contains unused bits that don't matter for equality tests could not
   be hash-joined.)  The HASHES flag indicates to the query optimizer
   that a hash join may safely be used with this operator.
  
   Similarly, the MERGES flag indicates whether merge-sort
   is a usable join strategy for this operator.  A merge join requires
   that the two input data types have consistent orderings, and that
   the merge-join operator behave like equality with respect to that
   ordering.  For example, it is possible to merge-join equality
   between an integer and a float variable by sorting both inputs in
   ordinary numeric order.  Execution of a merge join requires that
   the system be able to identify four operators related to the
   merge-join equality operator: less-than comparison for the left
   input data type, less-than comparison for the right input data
   type, less-than comparison between the two data types, and
   greater-than comparison between the two data types.  It is possible
   to specify these by name, as the SORT1,
   SORT2, LTCMP, and GTCMP options
   respectively.  The system will fill in the default names
   <, <, <,
   > respectively if any of these are omitted when
   MERGES is specified.  Also, MERGES will be
   assumed to be implied if any of these four operator options appear.
  
   If  other join strategies are found to be practical,
   PostgreSQL
   will change the optimizer and run-time system to  use
   them  and  will  require  additional specification when an
   operator is defined.  Fortunately, the research  community
   invents  new  join  strategies infrequently, and the added
   generality of user-defined join strategies was not felt to
   be worth the complexity involved.
  
   The RESTRICT and JOIN options assist the
   query optimizer in estimating result sizes.  If a clause of the
   form:
myboxes.description <<< box '((0,0), (1,1))'
   is present in the qualification,
   then PostgreSQL may have to
   estimate the fraction of the  instances  in myboxes that
   satisfy  the clause.  The function
   res_proc
   must be a registered function (meaning  it  is  already  defined  using
   CREATE FUNCTION) which accepts arguments of the correct
   data types and returns a floating-point number.   The
   query  optimizer  simply  calls this function, passing the
   parameter ((0,0), (1,1)) and multiplies the result by the relation
   size to get the expected number of instances.
  
   Similarly, when the operands of the operator both  contain
   instance  variables, the query optimizer must estimate the
   size of the resulting join.  The function join_proc will
   return  another floating-point number which will be multiplied
   by the cardinalities of the two tables involved  to
   compute the expected result size.
  
   The difference between the function
   
my_procedure_1 (MYBOXES.description, box '((0,0), (1,1))')
   
   and the operator
   
MYBOXES.description === box '((0,0), (1,1))'
   
   is  that  PostgreSQL
   attempts to optimize operators and can
   decide to use an index to restrict the search  space  when
   operators  are  involved.  However, there is no attempt to
   optimize functions, and they are performed by brute force.
   Moreover, functions can have any number of arguments while
   operators are restricted to one or two.
  
    Notes
   
    Refer to the chapter on operators in the
    PostgreSQL User's Guide
    for further information.
    Refer to DROP OPERATOR to delete
    user-defined operators from a database.
   
    To give a schema-qualified operator name in com_op or the other optional
    arguments, use the OPERATOR() syntax, for example
   COMMUTATOR = OPERATOR(myschema.===) ,