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9.20. Aggregate FunctionsAggregate functions compute a single result from a set of input values. The built-in general-purpose aggregate functions are listed in Table 9.52 and statistical aggregates in Table 9.53. The built-in within-group ordered-set aggregate functions are listed in Table 9.54 while the built-in within-group hypothetical-set ones are in Table 9.55. Grouping operations, which are closely related to aggregate functions, are listed in Table 9.56. The special syntax considerations for aggregate functions are explained in Section 4.2.7. Consult Section 2.7 for additional introductory information.
Table 9.52. General-Purpose Aggregate Functions
Function Argument Type(s) Return Type Partial Mode Descriptionarray_agg(expression
)
any non-array type array of the argument type No input values, including nulls, concatenated into an array array_agg(expression
)
any array type same as argument data type No input arrays concatenated into array of one higher dimension (inputs must all have same dimensionality, and cannot be empty or null) avg(expression
)
smallint
, int
, bigint
, real
, double precision
, numeric
, or interval
numeric
for any integer-type argument, double precision
for a floating-point argument, otherwise the same as the argument data type Yes the average (arithmetic mean) of all non-null input values bit_and(expression
)
smallint
, int
, bigint
, or bit
same as argument data type Yes the bitwise AND of all non-null input values, or null if none bit_or(expression
)
smallint
, int
, bigint
, or bit
same as argument data type Yes the bitwise OR of all non-null input values, or null if none bool_and(expression
)
bool
bool
Yes true if all input values are true, otherwise false bool_or(expression
)
bool
bool
Yes true if at least one input value is true, otherwise false count(*)
bigint
Yes number of input rows count(expression
)
any bigint
Yes number of input rows for which the value of expression
is not null every(expression
)
bool
bool
Yes equivalent to bool_and
json_agg(expression
)
any
json
No aggregates values, including nulls, as a JSON array jsonb_agg(expression
)
any
jsonb
No aggregates values, including nulls, as a JSON array json_object_agg(name
, value
)
(any, any)
json
No aggregates name/value pairs as a JSON object; values can be null, but not names jsonb_object_agg(name
, value
)
(any, any)
jsonb
No aggregates name/value pairs as a JSON object; values can be null, but not names max(expression
)
any numeric, string, date/time, network, or enum type, or arrays of these types same as argument type Yes maximum value of expression
across all non-null input values min(expression
)
any numeric, string, date/time, network, or enum type, or arrays of these types same as argument type Yes minimum value of expression
across all non-null input values string_agg(expression
, delimiter
)
(text
, text
) or (bytea
, bytea
) same as argument types No non-null input values concatenated into a string, separated by delimiter sum(expression
)
smallint
, int
, bigint
, real
, double precision
, numeric
, interval
, or money
bigint
for smallint
or int
arguments, numeric
for bigint
arguments, otherwise the same as the argument data type Yes sum of expression
across all non-null input values xmlagg(expression
)
xml
xml
No concatenation of non-null XML values (see also Section 9.14.1.7)
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, and array_agg
returns null rather than an empty array when there are no input rows. The coalesce
function can be used to substitute zero or an empty array for null when necessary.
Aggregate functions which support Partial Mode are eligible to participate in various optimizations, such as parallel aggregation.
NoteBoolean 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 either as introducing a subquery, or as being an aggregate function, if the subquery returns one row with a Boolean value. Thus the standard name cannot be given to these aggregates.
Users accustomed to working with other SQL database management systems might be disappointed by the performance of the count
aggregate when it is applied to the entire table. A query like:
SELECT count(*) FROM sometable;
will require effort proportional to the size of the table: PostgreSQL will need to scan either the entire table or the entirety of an index which includes all rows in the table.
The aggregate functions array_agg
, json_agg
, jsonb_agg
, json_object_agg
, jsonb_object_agg
, string_agg
, and xmlagg
, as well as similar user-defined aggregate functions, produce meaningfully different result values depending on the order of the input values. This ordering is unspecified by default, but can be controlled by writing an ORDER BY
clause within the aggregate call, as shown in Section 4.2.7. Alternatively, supplying the input values from a sorted subquery will usually work. For example:
SELECT xmlagg(x) FROM (SELECT x FROM test ORDER BY y DESC) AS tab;
Beware that this approach can fail if the outer query level contains additional processing, such as a join, because that might cause the subquery's output to be reordered before the aggregate is computed.
Table 9.53 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 9.53. Aggregate Functions for Statistics
Function Argument Type Return Type Partial Mode Descriptioncorr(Y
, X
)
double precision
double precision
Yes correlation coefficient covar_pop(Y
, X
)
double precision
double precision
Yes population covariance covar_samp(Y
, X
)
double precision
double precision
Yes sample covariance regr_avgx(Y
, X
)
double precision
double precision
Yes average of the independent variable (sum(X
)/N
) regr_avgy(Y
, X
)
double precision
double precision
Yes average of the dependent variable (sum(Y
)/N
) regr_count(Y
, X
)
double precision
bigint
Yes number of input rows in which both expressions are nonnull regr_intercept(Y
, X
)
double precision
double precision
Yes y-intercept of the least-squares-fit linear equation determined by the (X
, Y
) pairs regr_r2(Y
, X
)
double precision
double precision
Yes square of the correlation coefficient regr_slope(Y
, X
)
double precision
double precision
Yes slope of the least-squares-fit linear equation determined by the (X
, Y
) pairs regr_sxx(Y
, X
)
double precision
double precision
Yes sum(X
^2) - sum(X
)^2/N
(“sum of squares” of the independent variable) regr_sxy(Y
, X
)
double precision
double precision
Yes sum(X
*Y
) - sum(X
) * sum(Y
)/N
(“sum of products” of independent times dependent variable) regr_syy(Y
, X
)
double precision
double precision
Yes 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
Yes historical alias for stddev_samp
stddev_pop(expression
)
smallint
, int
, bigint
, real
, double precision
, or numeric
double precision
for floating-point arguments, otherwise numeric
Yes 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
Yes 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
Yes historical alias for var_samp
var_pop
(expression
) smallint
, int
, bigint
, real
, double precision
, or numeric
double precision
for floating-point arguments, otherwise numeric
Yes 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
Yes sample variance of the input values (square of the sample standard deviation)
Table 9.54 shows some aggregate functions that use the ordered-set aggregate syntax. These functions are sometimes referred to as “inverse distribution” functions.
Table 9.54. Ordered-Set Aggregate Functions
Function Direct Argument Type(s) Aggregated Argument Type(s) Return Type Partial Mode Descriptionmode() WITHIN GROUP (ORDER BY sort_expression
)
any sortable type same as sort expression No returns the most frequent input value (arbitrarily choosing the first one if there are multiple equally-frequent results) percentile_cont(fraction
) WITHIN GROUP (ORDER BY sort_expression
)
double precision
double precision
or interval
same as sort expression No continuous percentile: returns a value corresponding to the specified fraction in the ordering, interpolating between adjacent input items if needed percentile_cont(fractions
) WITHIN GROUP (ORDER BY sort_expression
)
double precision[]
double precision
or interval
array of sort expression's type No multiple continuous percentile: returns an array of results matching the shape of the fractions
parameter, with each non-null element replaced by the value corresponding to that percentile percentile_disc(fraction
) WITHIN GROUP (ORDER BY sort_expression
)
double precision
any sortable type same as sort expression No discrete percentile: returns the first input value whose position in the ordering equals or exceeds the specified fraction percentile_disc(fractions
) WITHIN GROUP (ORDER BY sort_expression
)
double precision[]
any sortable type array of sort expression's type No multiple discrete percentile: returns an array of results matching the shape of the fractions
parameter, with each non-null element replaced by the input value corresponding to that percentile
All the aggregates listed in Table 9.54 ignore null values in their sorted input. For those that take a fraction
parameter, the fraction value must be between 0 and 1; an error is thrown if not. However, a null fraction value simply produces a null result.
Each of the aggregates listed in Table 9.55 is associated with a window function of the same name defined in Section 9.21. In each case, the aggregate result is the value that the associated window function would have returned for the “hypothetical” row constructed from args
, if such a row had been added to the sorted group of rows computed from the sorted_args
.
Table 9.55. Hypothetical-Set Aggregate Functions
Function Direct Argument Type(s) Aggregated Argument Type(s) Return Type Partial Mode Descriptionrank(args
) WITHIN GROUP (ORDER BY sorted_args
)
VARIADIC
"any"
VARIADIC
"any"
bigint
No rank of the hypothetical row, with gaps for duplicate rows dense_rank(args
) WITHIN GROUP (ORDER BY sorted_args
)
VARIADIC
"any"
VARIADIC
"any"
bigint
No rank of the hypothetical row, without gaps percent_rank(args
) WITHIN GROUP (ORDER BY sorted_args
)
VARIADIC
"any"
VARIADIC
"any"
double precision
No relative rank of the hypothetical row, ranging from 0 to 1 cume_dist(args
) WITHIN GROUP (ORDER BY sorted_args
)
VARIADIC
"any"
VARIADIC
"any"
double precision
No relative rank of the hypothetical row, ranging from 1/N
to 1
For each of these hypothetical-set aggregates, the list of direct arguments given in args
must match the number and types of the aggregated arguments given in sorted_args
. Unlike most built-in aggregates, these aggregates are not strict, that is they do not drop input rows containing nulls. Null values sort according to the rule specified in the ORDER BY
clause.
Table 9.56. Grouping Operations
Function Return Type DescriptionGROUPING(args...
)
integer
Integer bit mask indicating which arguments are not being included in the current grouping set
Grouping operations are used in conjunction with grouping sets (see Section 7.2.4) to distinguish result rows. The arguments to the GROUPING
operation are not actually evaluated, but they must match exactly expressions given in the GROUP BY
clause of the associated query level. Bits are assigned with the rightmost argument being the least-significant bit; each bit is 0 if the corresponding expression is included in the grouping criteria of the grouping set generating the result row, and 1 if it is not. For example:
=>
SELECT * FROM items_sold;
make | model | sales -------+-------+------- Foo | GT | 10 Foo | Tour | 20 Bar | City | 15 Bar | Sport | 5 (4 rows)=>
SELECT make, model, GROUPING(make,model), sum(sales) FROM items_sold GROUP BY ROLLUP(make,model);
make | model | grouping | sum -------+-------+----------+----- Foo | GT | 0 | 10 Foo | Tour | 0 | 20 Bar | City | 0 | 15 Bar | Sport | 0 | 5 Foo | | 1 | 30 Bar | | 1 | 20 | | 3 | 50 (7 rows)
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