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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

     NAME
	  CREATE OPERATOR - define a new operator

     SYNOPSIS
	  CREATE OPERATOR name ( PROCEDURE = func_name
	       [, LEFTARG = lefttype
	       ] [, RIGHTARG = righttype ]
	       [, COMMUTATOR = com_op ] [, NEGATOR = neg_op ]
	       [, RESTRICT = res_proc ] [, JOIN = join_proc ]
	       [, HASHES ] [, MERGES ]
	       [, SORT1 = left_sort_op ] [, SORT2 = right_sort_op ]
	       [, LTCMP = less_than_op ] [, GTCMP = greater_than_op ] )

	INPUTS
	  name The operator to be defined. See below for allowable
	       characters.  The name may be schema-qualified, for
	       example CREATE OPERATOR myschema.+ (...).

	  func_name
	       The function used to implement this operator.

	  lefttype
	       The type of the left-hand argument of the operator, if
	       any.  This option would be omitted for a left-unary
	       operator.

	  righttype
	       The type of the right-hand argument of the operator, if
	       any.  This option would be omitted for a right-unary
	       operator.

	  com_op
	       The commutator of this operator.

	  neg_op
	       The negator of this operator.

	  res_proc
	       The restriction selectivity estimator function for this
	       operator.

	  join_proc
	       The join selectivity estimator function for this
	       operator.

	  HASHES
	       Indicates this operator can support a hash join.

	  MERGES
	       Indicates this operator can support a merge join.

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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

	  left_sort_op
	       If this operator can support a merge join, the less-
	       than operator that sorts the left-hand data type of
	       this operator.

	  right_sort_op
	       If this operator can support a merge join, the less-
	       than operator that sorts the right-hand data type of
	       this operator.

	  less_than_op
	       If this operator can support a merge join, the less-
	       than operator that compares the input data types of
	       this operator.

	  greater_than_op
	       If this operator can support a merge join, the
	       greater-than operator that compares the input data
	       types of this operator.

	OUTPUTS
	  CREATE OPERATOR
	       Message returned if the operator is successfully
	       created.

     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:

	  o $ cannot be defined as a single-character operator,
	    although it can be part of a multicharacter operator name.

	  o -- and /* cannot appear anywhere in an operator name,

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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

	    since they will be taken as the start of a comment.

	  o 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

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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

	  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

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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

	  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

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     CREATE OPERATOSQL)- Language Statements (2002-1CREATE OPERATOR(l)

	  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.===) ,

     USAGE
	  The following command defines a new operator, area-equality,
	  for the BOX data type:

	  CREATE OPERATOR === (
	     LEFTARG = box,
	     RIGHTARG = box,
	     PROCEDURE = area_equal_procedure,
	     COMMUTATOR = ===,
	     NEGATOR = !==,
	     RESTRICT = area_restriction_procedure,
	     JOIN = area_join_procedure,
	     HASHES,
	     SORT1 = <<<,
	     SORT2 = <<<
	     -- Since sort operators were given, MERGES is implied.
	     -- LTCMP and GTCMP are assumed to be < and > respectively
	  );

     COMPATIBILITY
	SQL92
	  CREATE OPERATOR is a PostgreSQL extension.  There is no
	  CREATE OPERATOR statement in SQL92.

     Page 6					     (printed 3/24/03)

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