Value Expressions
Value Expressions
Value expressions are used in a variety of contexts, such as in the target list of the SELECT
command, as new column values in INSERT
or UPDATE
, or in search conditions in a number of commands. The result of a value expression is sometimes called a scalar, to distinguish it from the result of a table expression (which is a table). Value expressions are therefore also called scalar expressions (or even simply expressions). The expression syntax allows the calculation of values from primitive parts using arithmetic, logical, set, and other operations.
A value expression is one of the following:
-
A constant or literal value
-
A column reference
-
A positional parameter reference, in the body of a function definition or prepared statement
-
A subscripted expression
-
A field selection expression
-
An operator invocation
-
A function call
-
An aggregate expression
-
A window function call
-
A type cast
-
A collation expression
-
A scalar subquery
-
An array constructor
-
A row constructor
-
Another value expression in parentheses (used to group subexpressions and override precedence)
In addition to this list, there are a number of constructs that can be classified as an expression but do not follow any general syntax rules. These generally have the semantics of a function or operator and are explained in the appropriate location in Chapter 8. An example is the IS NULL
clause.
We have already discussed constants in Section 3.1.2. The following sections discuss the remaining options.
Column References
A column can be referenced in the form:
correlation
is the name of a table (possibly qualified with a schema name), or an alias for a table defined by means of a FROM
clause. The correlation name and separating dot can be omitted if the column name is unique across all the tables being used in the current query. (See also Chapter 6.)
Positional Parameters
A positional parameter reference is used to indicate a value that is supplied externally to an SQL statement. Parameters are used in SQL function definitions and in prepared queries. Some client libraries also support specifying data values separately from the SQL command string, in which case parameters are used to refer to the out-of-line data values. The form of a parameter reference is:
For example, consider the definition of a function, dept
, as:
Here the $1
references the value of the first function argument whenever the function is invoked.
Subscripts
If an expression yields a value of an array type, then a specific element of the array value can be extracted by writing
or multiple adjacent elements (an “array slice”) can be extracted by writing
(Here, the brackets [ ]
are meant to appear literally.) Each subscript
is itself an expression, which will be rounded to the nearest integer value.
In general the array expression
must be parenthesized, but the parentheses can be omitted when the expression to be subscripted is just a column reference or positional parameter. Also, multiple subscripts can be concatenated when the original array is multidimensional. For example:
The parentheses in the last example are required. See Section 7.11 for more about arrays.
Field Selection
If an expression yields a value of a composite type (row type), then a specific field of the row can be extracted by writing
In general the row expression
must be parenthesized, but the parentheses can be omitted when the expression to be selected from is just a table reference or positional parameter. For example:
(Thus, a qualified column reference is actually just a special case of the field selection syntax.) An important special case is extracting a field from a table column that is of a composite type:
The parentheses are required here to show that compositecol
is a column name not a table name, or that mytable
is a table name not a schema name in the second case.
You can ask for all fields of a composite value by writing .*
:
This notation behaves differently depending on context.
Operator Invocations
There are two possible syntaxes for an operator invocation:
expression operator expression (binary infix operator) |
operator expression (unary prefix operator) |
where the operator
token follows the syntax rules of Section 3.1.3, or is one of the key words AND
, OR
, and NOT
, or is a qualified operator name in the form:
Which particular operators exist and whether they are unary or binary depends on what operators have been defined by the system or the user. Chapter 8 describes the built-in operators.
Function Calls
The syntax for a function call is the name of a function (possibly qualified with a schema name), followed by its argument list enclosed in parentheses:
For example, the following computes the square root of 2:
The list of built-in functions is in Chapter 8. Other functions can be added by the user.
When issuing queries in a database where some users mistrust other users, observe security precautions from Section 9.3 when writing function calls.
The arguments can optionally have names attached. See Section 3.3 for details.
col(table)
and table.col
are interchangeable. This behavior is not SQL-standard but is provided in Tacnode because it allows use of functions to emulate “computed fields”.Aggregate Expressions
An aggregate expression represents the application of an aggregate function across the rows selected by a query. An aggregate function reduces multiple inputs to a single output value, such as the sum or average of the inputs. The syntax of an aggregate expression is one of the following:
where aggregate_name
is a previously defined aggregate (possibly qualified with a schema name) and expression
is any value expression that does not itself contain an aggregate expression or a window function call. The optional order_by_clause
and filter_clause
are described below.
The first form of aggregate expression invokes the aggregate once for each input row. The second form is the same as the first, since ALL
is the default. The third form invokes the aggregate once for each distinct value of the expression (or distinct set of values, for multiple expressions) found in the input rows. The fourth form invokes the aggregate once for each input row; since no particular input value is specified, it is generally only useful for the count(*)
aggregate function. The last form is used with ordered-set aggregate functions, which are described below.
Most aggregate functions ignore null inputs, so that rows in which one or more of the expression(s) yield null are discarded. This can be assumed to be true, unless otherwise specified, for all built-in aggregates.
For example, count(*)
yields the total number of input rows; count(f1)
yields the number of input rows in which f1
is non-null, since count
ignores nulls; and count(distinct f1)
yields the number of distinct non-null values of f1
.
Ordinarily, the input rows are fed to the aggregate function in an unspecified order. In many cases this does not matter; for example, min
produces the same result no matter what order it receives the inputs in. However, some aggregate functions (such as array_agg
and string_agg
) produce results that depend on the ordering of the input rows. When using such an aggregate, the optional order_by_clause
can be used to specify the desired ordering. The order_by_clause
has the same syntax as for a query-level ORDER BY
clause, as described in Section 6.5"), except that its expressions are always just expressions and cannot be output-column names or numbers. For example:
When dealing with multiple-argument aggregate functions, note that the ORDER BY
clause goes after all the aggregate arguments. For example, write this:
not this:
The latter is syntactically valid, but it represents a call of a single-argument aggregate function with two ORDER BY
keys (the second one being rather useless since it's a constant).
If DISTINCT
is specified in addition to an order_by_clause
, then all the ORDER BY
expressions must match regular arguments of the aggregate; that is, you cannot sort on an expression that is not included in the DISTINCT
list.
DISTINCT
and ORDER BY
in an aggregate function is a Tacnode extension.ORDER BY
within the aggregate's regular argument list, as described so far, is used when ordering the input rows for general-purpose and statistical aggregates, for which ordering is optional. There is a subclass of aggregate functions called ordered-set aggregates for which an order_by_clause
is required, usually because the aggregate's computation is only sensible in terms of a specific ordering of its input rows. Typical examples of ordered-set aggregates include rank and percentile calculations. For an ordered-set aggregate, the order_by_clause
is written inside WITHIN GROUP (...)
, as shown in the final syntax alternative above. The expressions in the order_by_clause
are evaluated once per input row just like regular aggregate arguments, sorted as per the order_by_clause
's requirements, and fed to the aggregate function as input arguments. (This is unlike the case for a non-WITHIN GROUP
order_by_clause
, which is not treated as argument(s) to the aggregate function.) The argument expressions preceding WITHIN GROUP
, if any, are called direct arguments to distinguish them from the aggregated arguments listed in the order_by_clause
. Unlike regular aggregate arguments, direct arguments are evaluated only once per aggregate call, not once per input row. This means that they can contain variables only if those variables are grouped by GROUP BY
; this restriction is the same as if the direct arguments were not inside an aggregate expression at all. Direct arguments are typically used for things like percentile fractions, which only make sense as a single value per aggregation calculation. The direct argument list can be empty; in this case, write just ()
not (*)
. (Tacnode will actually accept either spelling, but only the first way conforms to the SQL standard.)An example of an ordered-set aggregate call is:
which obtains the 50th percentile, or median, value of the income
column from table households
. Here, 0.5
is a direct argument; it would make no sense for the percentile fraction to be a value varying across rows.
If FILTER
is specified, then only the input rows for which the filter_clause
evaluates to true are fed to the aggregate function; other rows are discarded. For example:
The predefined aggregate functions are described in Section 8.17. Other aggregate functions can be added by the user.
An aggregate expression can only appear in the result list or HAVING
clause of a SELECT
command. It is forbidden in other clauses, such as WHERE
, because those clauses are logically evaluated before the results of aggregates are formed.
When an aggregate expression appears in a subquery (see Section 3.2.11 and Section 8.19), the aggregate is normally evaluated over the rows of the subquery. But an exception occurs if the aggregate's arguments (and filter_clause
if any) contain only outer-level variables: the aggregate then belongs to the nearest such outer level, and is evaluated over the rows of that query. The aggregate expression as a whole is then an outer reference for the subquery it appears in, and acts as a constant over any one evaluation of that subquery. The restriction about appearing only in the result list or HAVING
clause applies with respect to the query level that the aggregate belongs to.
Window Function Calls
A window function call represents the application of an aggregate-like function over some portion of the rows selected by a query. Unlike non-window aggregate calls, this is not tied to grouping of the selected rows into a single output row — each row remains separate in the query output. However the window function has access to all the rows that would be part of the current row's group according to the grouping specification (PARTITION BY
list) of the window function call. The syntax of a window function call is one of the following:
where window_definition
has the syntax
The optional frame_clause
can be one of
where frame_start
and frame_end
can be one of
and frame_exclusion
can be one of
Here, expression
represents any value expression that does not itself contain window function calls.
window_name
is a reference to a named window specification defined in the query's WINDOW
clause. Alternatively, a full window_definition
can be given within parentheses, using the same syntax as for defining a named window in the WINDOW
clause; see the SELECT reference page for details. It's worth pointing out that OVER wname
is not exactly equivalent to OVER (wname ...)
; the latter implies copying and modifying the window definition, and will be rejected if the referenced window specification includes a frame clause.
The PARTITION BY
clause groups the rows of the query into partitions, which are processed separately by the window function. PARTITION BY
works similarly to a query-level GROUP BY
clause, except that its expressions are always just expressions and cannot be output-column names or numbers. Without PARTITION BY
, all rows produced by the query are treated as a single partition. The ORDER BY
clause determines the order in which the rows of a partition are processed by the window function. It works similarly to a query-level ORDER BY
clause, but likewise cannot use output-column names or numbers. Without ORDER BY
, rows are processed in an unspecified order.
The frame_clause
specifies the set of rows constituting the window frame, which is a subset of the current partition, for those window functions that act on the frame instead of the whole partition. The set of rows in the frame can vary depending on which row is the current row. The frame can be specified in RANGE
, ROWS
or GROUPS
mode; in each case, it runs from the frame_start
to the frame_end
. If frame_end
is omitted, the end defaults to CURRENT ROW
.
A frame_start
of UNBOUNDED PRECEDING
means that the frame starts with the first row of the partition, and similarly a frame_end
of UNBOUNDED FOLLOWING
means that the frame ends with the last row of the partition.
In RANGE
or GROUPS
mode, a frame_start
of CURRENT ROW
means the frame starts with the current row's first peer row (a row that the window's ORDER BY
clause sorts as equivalent to the current row), while a frame_end
of CURRENT ROW
means the frame ends with the current row's last peer row. In ROWS
mode, CURRENT ROW
simply means the current row.
In the offset
PRECEDING
and offset
FOLLOWING
frame options, the offset
must be an expression not containing any variables, aggregate functions, or window functions. The meaning of the offset
depends on the frame mode:
-
In
ROWS
mode, theoffset
must yield a non-null, non-negative integer, and the option means that the frame starts or ends the specified number of rows before or after the current row. -
In
GROUPS
mode, theoffset
again must yield a non-null, non-negative integer, and the option means that the frame starts or ends the specified number of peer groups before or after the current row's peer group, where a peer group is a set of rows that are equivalent in theORDER BY
ordering. (There must be anORDER BY
clause in the window definition to useGROUPS
mode.) -
In
RANGE
mode, these options require that theORDER BY
clause specify exactly one column. Theoffset
specifies the maximum difference between the value of that column in the current row and its value in preceding or following rows of the frame. The data type of theoffset
expression varies depending on the data type of the ordering column. For numeric ordering columns it is typically of the same type as the ordering column, but for datetime ordering columns it is aninterval
. For example, if the ordering column is of typedate
ortimestamp
, one could writeRANGE BETWEEN '1 day' PRECEDING AND '10 days' FOLLOWING
. Theoffset
is still required to be non-null and non-negative, though the meaning of “non-negative” depends on its data type.
In any case, the distance to the end of the frame is limited by the distance to the end of the partition, so that for rows near the partition ends the frame might contain fewer rows than elsewhere.
Notice that in both ROWS
and GROUPS
mode, 0 PRECEDING
and 0 FOLLOWING
are equivalent to CURRENT ROW
. This normally holds in RANGE
mode as well, for an appropriate data-type-specific meaning of “zero”.
The frame_exclusion
option allows rows around the current row to be excluded from the frame, even if they would be included according to the frame start and frame end options. EXCLUDE CURRENT ROW
excludes the current row from the frame. EXCLUDE GROUP
excludes the current row and its ordering peers from the frame. EXCLUDE TIES
excludes any peers of the current row from the frame, but not the current row itself. EXCLUDE NO OTHERS
simply specifies explicitly the default behavior of not excluding the current row or its peers.
The default framing option is RANGE UNBOUNDED PRECEDING
, which is the same as RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
. With ORDER BY
, this sets the frame to be all rows from the partition start up through the current row's last ORDER BY
peer. Without ORDER BY
, this means all rows of the partition are included in the window frame, since all rows become peers of the current row.
Restrictions are that frame_start
cannot be UNBOUNDED FOLLOWING
, frame_end
cannot be UNBOUNDED PRECEDING
, and the frame_end
choice cannot appear earlier in the above list of frame_start
and frame_end
options than the frame_start
choice does — for example RANGE BETWEEN CURRENT ROW AND `offset` PRECEDING
is not allowed. But, for example, ROWS BETWEEN 7 PRECEDING AND 8 PRECEDING
is allowed, even though it would never select any rows.
If FILTER
is specified, then only the input rows for which the filter_clause
evaluates to true are fed to the window function; other rows are discarded. Only window functions that are aggregates accept a FILTER
clause.
The built-in window functions are described in Table 8.51. Other window functions can be added by the user. Also, any built-in or user-defined general-purpose or statistical aggregate can be used as a window function. (Ordered-set and hypothetical-set aggregates cannot presently be used as window functions.)
The syntaxes using *
are used for calling parameter-less aggregate functions as window functions, for example count(*) OVER (PARTITION BY x ORDER BY y)
. The asterisk (*
) is customarily not used for window-specific functions. Window-specific functions do not allow DISTINCT
or ORDER BY
to be used within the function argument list.
Window function calls are permitted only in the SELECT
list and the ORDER BY
clause of the query.
More information about window functions can be found in Section 2.5, Section 8.18, and Section 6.2.4.
Type Casts
A type cast specifies a conversion from one data type to another. Tacnode accepts two equivalent syntaxes for type casts:
The CAST
syntax conforms to SQL; the syntax with ::
is historical Tacnode usage.
When a cast is applied to a value expression of a known type, it represents a run-time type conversion. The cast will succeed only if a suitable type conversion operation has been defined. Notice that this is subtly different from the use of casts with constants, as shown in Section 3.1.2.7. A cast applied to an unadorned string literal represents the initial assignment of a type to a literal constant value, and so it will succeed for any type (if the contents of the string literal are acceptable input syntax for the data type).
An explicit type cast can usually be omitted if there is no ambiguity as to the type that a value expression must produce (for example, when it is assigned to a table column); the system will automatically apply a type cast in such cases. However, automatic casting is only done for casts that are marked “OK to apply implicitly” in the system catalogs. Other casts must be invoked with explicit casting syntax. This restriction is intended to prevent surprising conversions from being applied silently.
It is also possible to specify a type cast using a function-like syntax:
However, this only works for types whose names are also valid as function names. For example, double precision
cannot be used this way, but the equivalent float8
can. Also, the names interval
, time
, and timestamp
can only be used in this fashion if they are double-quoted, because of syntactic conflicts. Therefore, the use of the function-like cast syntax leads to inconsistencies and should probably be avoided.
Collation Expressions
The COLLATE
clause overrides the collation of an expression. It is appended to the expression it applies to:
where collation
is a possibly schema-qualified identifier. The COLLATE
clause binds tighter than operators; parentheses can be used when necessary.
If no collation is explicitly specified, the database system either derives a collation from the columns involved in the expression, or it defaults to the default collation of the database if no column is involved in the expression.
The two common uses of the COLLATE
clause are overriding the sort order in an ORDER BY
clause, for example:
and overriding the collation of a function or operator call that has locale-sensitive results, for example:
Note that in the latter case the COLLATE
clause is attached to an input argument of the operator we wish to affect. It doesn't matter which argument of the operator or function call the COLLATE
clause is attached to, because the collation that is applied by the operator or function is derived by considering all arguments, and an explicit COLLATE
clause will override the collations of all other arguments. (Attaching non-matching COLLATE
clauses to more than one argument, however, is an error.) Thus, this gives the same result as the previous example:
But this is an error:
because it attempts to apply a collation to the result of the >
operator, which is of the non-collatable data type boolean
.
Scalar Subqueries
A scalar subquery is an ordinary SELECT
query in parentheses that returns exactly one row with one column. (See Chapter 6 for information about writing queries.) The SELECT
query is executed and the single returned value is used in the surrounding value expression. It is an error to use a query that returns more than one row or more than one column as a scalar subquery. (But if, during a particular execution, the subquery returns no rows, there is no error; the scalar result is taken to be null.) The subquery can refer to variables from the surrounding query, which will act as constants during any one evaluation of the subquery. See also Section 8.19 for other expressions involving subqueries.
For example, the following finds the largest city population in each state:
Array Constructors
An array constructor is an expression that builds an array value using values for its member elements. A simple array constructor consists of the key word ARRAY
, a left square bracket [
, a list of expressions (separated by commas) for the array element values, and finally a right square bracket ]
. For example:
By default, the array element type is the common type of the member expressions, determined using the same rules as for UNION
or CASE
constructs (see Section 9.5). You can override this by explicitly casting the array constructor to the desired type, for example:
This has the same effect as casting each expression to the array element type individually. For more on casting, see Section 3.2.9.
Multidimensional array values can be built by nesting array constructors. In the inner constructors, the key word ARRAY
can be omitted. For example, these produce the same result:
Since multidimensional arrays must be rectangular, inner constructors at the same level must produce sub-arrays of identical dimensions. Any cast applied to the outer ARRAY
constructor propagates automatically to all the inner constructors.
Multidimensional array constructor elements can be anything yielding an array of the proper kind, not only a sub-ARRAY
construct. For example:
You can construct an empty array, but since it's impossible to have an array with no type, you must explicitly cast your empty array to the desired type. For example:
It is also possible to construct an array from the results of a subquery. In this form, the array constructor is written with the key word ARRAY
followed by a parenthesized (not bracketed) subquery. For example:
The subquery must return a single column. If the subquery's output column is of a non-array type, the resulting one-dimensional array will have an element for each row in the subquery result, with an element type matching that of the subquery's output column. If the subquery's output column is of an array type, the result will be an array of the same type but one higher dimension; in this case all the subquery rows must yield arrays of identical dimensionality, else the result would not be rectangular.
The subscripts of an array value built with ARRAY
always begin with one. For more information about arrays, see Section 7.11.
Row Constructors
A row constructor is an expression that builds a row value (also called a composite value) using values for its member fields. A row constructor consists of the key word ROW
, a left parenthesis, zero or more expressions (separated by commas) for the row field values, and finally a right parenthesis. For example:
The key word ROW
is optional when there is more than one expression in the list.
A row constructor can include the syntax rowvalue``.*
, which will be expanded to a list of the elements of the row value, just as occurs when the .*
syntax is used at the top level of a SELECT
list. For example, if table t
has columns f1
and f2
, these are the same:
.*
syntax was not expanded in row constructors, so that writing ROW(t.*, 42)
created a two-field row whose first field was another row value. The new behavior is usually more useful. If you need the old behavior of nested row values, write the inner row value without .*
, for instance ROW(t, 42)
.ROW
expression is of an anonymous record type. If necessary, it can be cast to a named composite type — either the row type of a table, or a composite type created with CREATE TYPE AS
. An explicit cast might be needed to avoid ambiguity. For example:Row constructors can be used to build composite values to be stored in a composite-type table column, or to be passed to a function that accepts a composite parameter. Also, it is possible to compare two row values or test a row with IS NULL
or IS NOT NULL
, for example:
For more detail see Section 8.20. Row constructors can also be used in connection with subqueries, as discussed in Section 8.19.
Expression Evaluation Rules
The order of evaluation of subexpressions is not defined. In particular, the inputs of an operator or function are not necessarily evaluated left-to-right or in any other fixed order.
Furthermore, if the result of an expression can be determined by evaluating only some parts of it, then other subexpressions might not be evaluated at all. For instance, if one wrote:
then somefunc()
would (probably) not be called at all. The same would be the case if one wrote:
Note that this is not the same as the left-to-right “short-circuiting” of Boolean operators that is found in some programming languages.
As a consequence, it is unwise to use functions with side effects as part of complex expressions. It is particularly dangerous to rely on side effects or evaluation order in WHERE
and HAVING
clauses, since those clauses are extensively reprocessed as part of developing an execution plan. Boolean expressions (AND
/OR
/NOT
combinations) in those clauses can be reorganized in any manner allowed by the laws of Boolean algebra.
When it is essential to force evaluation order, a CASE
construct (see Section 8.15) can be used. For example, this is an untrustworthy way of trying to avoid division by zero in a WHERE
clause:
But this is safe:
A CASE
construct used in this fashion will defeat optimization attempts, so it should only be done when necessary. (In this particular example, it would be better to sidestep the problem by writing y > 1.5*x
instead.)
CASE
is not a cure-all for such issues, however. One limitation of the technique illustrated above is that it does not prevent early evaluation of constant subexpressions. Functions and operators marked IMMUTABLE
can be evaluated when the query is planned rather than when it is executed. Thus for example
is likely to result in a division-by-zero failure due to the planner trying to simplify the constant subexpression, even if every row in the table has x > 0
so that the ELSE
arm would never be entered at run time.
While that particular example might seem silly, related cases that don't obviously involve constants can occur in queries executed within functions, since the values of function arguments and local variables can be inserted into queries as constants for planning purposes. Within PL/pgSQL functions, for example, using an IF
-THEN
-ELSE
statement to protect a risky computation is much safer than just nesting it in a CASE
expression.
Another limitation of the same kind is that a CASE
cannot prevent evaluation of an aggregate expression contained within it, because aggregate expressions are computed before other expressions in a SELECT
list or HAVING
clause are considered. For example, the following query can cause a division-by-zero error despite seemingly having protected against it:
The min()
and avg()
aggregates are computed concurrently over all the input rows, so if any row has employees
equal to zero, the division-by-zero error will occur before there is any opportunity to test the result of min()
. Instead, use a WHERE
or FILTER
clause to prevent problematic input rows from reaching an aggregate function in the first place.