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8.12. Aggregate Functions

Aggregate functions compute a single result value from a set of input values. The built-in aggregate function are listed in Table 8-31 and Table 8-32. The special syntax considerations for aggregate functions are explained in Section 3.2.7. Consult Section 1.7 for additional introductory information.

Table 8-31. General-Purpose Aggregate Functions

FunctionArgument TypeReturn TypeDescription

avg

(expression)

SMALLINT, INTEGER, BIGINT, REAL, DOUBLE PRECISION, . NUMERIC for any integer type argument, DOUBLE PRECISION for a floating-point argument, otherwise the same as the argument data type the average (arithmetic mean) of all input values

bit_and

(expression)

SMALLINT, INTEGER, BIGINT. same as argument data type the bitwise AND of all non-null input values, or null if none

bit_or

(expression)

SMALLINT, INTEGER, BIGINT. same as argument data type the bitwise OR of all non-null input values, or null if none

bool_and

(expression)

BOOL BOOL true if all input values are true, otherwise false

bool_or

(expression)

BOOL BOOL true if at least one input value is true, otherwise false
count(*) BIGINTnumber of input rows

count

(expression)

anyBIGINT number of input rows for which the value of expression is not null

every

(expression)

BOOL BOOL equivalent to bool_and

max

(expression)

any numeric, string, or date/time typesame as argument type maximum value of expression across all input values

min

(expression)

any numeric, string, or date/time typesame as argument type minimum value of expression across all input values

sum

(expression)

SMALLINT, INTEGER, BIGINT, REAL, DOUBLE PRECISION, NUMERIC. BIGINT for SMALLINT or INTEGER arguments, NUMERIC for BIGINT arguments, DOUBLE PRECISION for floating-point arguments, otherwise the same as the argument data type sum of expression across all input values

It should be noted that except for count, these functions return a null value when no rows are selected. In particular, sum of no rows returns null, not zero as one might expect. The function coalesce may be used to substitute zero for null when necessary.

Note: Boolean aggregates bool_and and bool_or correspond to standard SQL aggregates every and any or some. As for any and some, it seems that there is an ambiguity built into the standard syntax:

SELECT b1 = ANY((SELECT b2 FROM t2 ...)) FROM t1 ...;

Here ANY can be considered both as leading to a subquery or as an aggregate if the select expression returns 1 row. Thus the standard name cannot be given to these aggregates.

Note: Users accustomed to working with other SQL database management systems may be surprised by the performance characteristics of certain aggregate functions in EnterpriseDB when the aggregate is applied to the entire table (in other words, no WHERE clause is specified). In particular, a query like

SELECT min(col) FROM sometable;

will be executed by EnterpriseDB using a sequential scan of the entire table. Other database systems may optimize queries of this form to use an index on the column, if one is available. Similarly, the aggregate functions max() and count() always require a sequential scan if applied to the entire table in EnterpriseDB.

EnterpriseDB cannot easily implement this optimization because it also allows for user-defined aggregate queries. Since min(), max(), and count() are defined using a generic API for aggregate functions, there is no provision for special-casing the execution of these functions under certain circumstances.

Fortunately, there is a simple workaround for min() and max(). The query shown below is equivalent to the query above, except that it can take advantage of a B-tree index if there is one present on the column in question.

SELECT col FROM sometable ORDER BY col ASC LIMIT 1;

A similar query (obtained by substituting DESC for ASC in the query above) can be used in the place of max().

Unfortunately, there is no similarly trivial query that can be used to improve the performance of count() when applied to the entire table.

Table 8-32 shows aggregate functions typically used in statistical analysis. (These are separated out merely to avoid cluttering the listing of more-commonly-used aggregates.) Where the description mentions N, it means the number of input rows for which all the input expressions are non-null. In all cases, null is returned if the computation is meaningless, for example when N is zero.

Table 8-32. Aggregate Functions for Statistics

FunctionArgument TypeReturn TypeDescription
corr(Y, X) double precision double precision correlation coefficient
covar_pop(Y, X) double precision double precision population covariance
covar_samp(Y, X) double precision double precision sample covariance
regr_avgx(Y, X) double precision double precision average of the independent variable (sum(X)/N)
regr_avgy(Y, X) double precision double precision average of the dependent variable (sum(Y)/N)
regr_count(Y, X) double precision bigint number of input rows in which both expressions are nonnull
regr_intercept(Y, X) double precision double precision y-intercept of the least-squares-fit linear equation determined by the (X, Y) pairs
regr_r2(Y, X) double precision double precision square of the correlation coefficient
regr_slope(Y, X) double precision double precision slope of the least-squares-fit linear equation determined by the (X, Y) pairs
regr_sxx(Y, X) double precision double precision sum(X^2) - sum(X)^2/N ("sum of squares" of the independent variable)
regr_sxy(Y, X) double precision double precision sum(X*Y) - sum(X) * sum(Y)/N ("sum of products" of independent times dependent variable)
regr_syy(Y, X) double precision double precision sum(Y^2) - sum(Y)^2/N ("sum of squares" of the dependent variable)
stddev(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric historical alias for stddev_samp
stddev_pop(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric population standard deviation of the input values
stddev_samp(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric sample standard deviation of the input values
variance(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric historical alias for var_samp
var_pop(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric population variance of the input values (square of the population standard deviation)
var_samp(expression) smallint, int, bigint, real, double precision, or numeric double precision for floating-point arguments, otherwise numeric sample variance of the input values (square of the sample standard deviation)
 
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