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9.20. Aggregate Functions
Prev UpChapter 9. Functions and OperatorsHome Next

9.20. Aggregate Functions

Aggregate functions compute a single result from a set of input values. The built-in general-purpose aggregate functions are listed inTable 9.52 and statistical aggregates inTable 9.53. The built-in within-group ordered-set aggregate functions are listed inTable 9.54 while the built-in within-group hypothetical-set ones are inTable 9.55. Grouping operations, which are closely related to aggregate functions, are listed inTable 9.56. The special syntax considerations for aggregate functions are explained inSection 4.2.7. ConsultSection 2.7 for additional introductory information.

Table 9.52. General-Purpose Aggregate Functions

FunctionArgument Type(s)Return TypePartial ModeDescription
array_agg(expression) any non-array type array of the argument typeNoinput values, including nulls, concatenated into an array
array_agg(expression) any array type same as argument data typeNoinput 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, orintervalnumeric for any integer-type argument,double precision for a floating-point argument, otherwise the same as the argument data typeYesthe average (arithmetic mean) of all non-null input values
bit_and(expression)smallint,int,bigint, orbit same as argument data typeYesthe bitwise AND of all non-null input values, or null if none
bit_or(expression)smallint,int,bigint, orbit same as argument data typeYesthe bitwise OR of all non-null input values, or null if none
bool_and(expression)boolboolYestrue if all input values are true, otherwise false
bool_or(expression)boolboolYestrue if at least one input value is true, otherwise false
count(*) bigintYesnumber of input rows
count(expression)anybigintYes number of input rows for which the value ofexpression is not null
every(expression)boolboolYesequivalent tobool_and
json_agg(expression)anyjsonNoaggregates values, including nulls, as a JSON array
jsonb_agg(expression)anyjsonbNoaggregates values, including nulls, as a JSON array
json_object_agg(name,value)(any, any)jsonNoaggregates name/value pairs as a JSON object; values can be null, but not names
jsonb_object_agg(name,value)(any, any)jsonbNoaggregates 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 typessame as argument typeYes maximum value ofexpression across all non-null input values
min(expression)any numeric, string, date/time, network, or enum type, or arrays of these typessame as argument typeYes minimum value ofexpression across all non-null input values
string_agg(expression,delimiter) (text,text) or (bytea,bytea) same as argument typesNonon-null input values concatenated into a string, separated by delimiter
sum(expression)smallint,int,bigint,real,double precision,numeric,interval, ormoneybigint forsmallint orint arguments,numeric forbigint arguments, otherwise the same as the argument data typeYessum ofexpression across all non-null input values
xmlagg(expression)xmlxmlNoconcatenation of non-null XML values (see alsoSection 9.14.1.7)

It should be noted that except forcount, 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, andarray_agg returns null rather than an empty array when there are no input rows. Thecoalesce function can be used to substitute zero or an empty array for null when necessary.

Aggregate functions which supportPartial Mode are eligible to participate in various optimizations, such as parallel aggregation.

Note

Boolean aggregatesbool_and andbool_or correspond to standard SQL aggregatesevery andany orsome. As forany andsome, it seems that there is an ambiguity built into the standard syntax:

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

HereANY 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.

Note

Users accustomed to working with other SQL database management systems might be disappointed by the performance of thecount 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 functionsarray_agg,json_agg,jsonb_agg,json_object_agg,jsonb_object_agg,string_agg, andxmlagg, 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 anORDER BY clause within the aggregate call, as shown inSection 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 mentionsN, 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 whenN is zero.

Table 9.53. Aggregate Functions for Statistics

FunctionArgument TypeReturn TypePartial ModeDescription
corr(Y,X)double precisiondouble precisionYescorrelation coefficient
covar_pop(Y,X)double precisiondouble precisionYespopulation covariance
covar_samp(Y,X)double precisiondouble precisionYessample covariance
regr_avgx(Y,X)double precisiondouble precisionYesaverage of the independent variable (sum(X)/N)
regr_avgy(Y,X)double precisiondouble precisionYesaverage of the dependent variable (sum(Y)/N)
regr_count(Y,X)double precisionbigintYesnumber of input rows in which both expressions are nonnull
regr_intercept(Y,X)double precisiondouble precisionYesy-intercept of the least-squares-fit linear equation determined by the (X,Y) pairs
regr_r2(Y,X)double precisiondouble precisionYessquare of the correlation coefficient
regr_slope(Y,X)double precisiondouble precisionYesslope of the least-squares-fit linear equation determined by the (X,Y) pairs
regr_sxx(Y,X)double precisiondouble precisionYessum(X^2) - sum(X)^2/N (sum of squares of the independent variable)
regr_sxy(Y,X)double precisiondouble precisionYessum(X*Y) - sum(X) * sum(Y)/N (sum of products of independent times dependent variable)
regr_syy(Y,X)double precisiondouble precisionYessum(Y^2) - sum(Y)^2/N (sum of squares of the dependent variable)
stddev(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYeshistorical alias forstddev_samp
stddev_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYespopulation standard deviation of the input values
stddev_samp(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYessample standard deviation of the input values
variance(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYeshistorical alias forvar_samp
var_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYespopulation variance of the input values (square of the population standard deviation)
var_samp(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericYessample variance of the input values (square of the sample standard deviation)

Table 9.54 shows some aggregate functions that use theordered-set aggregate syntax. These functions are sometimes referred to asinverse distribution functions.

Table 9.54. Ordered-Set Aggregate Functions

FunctionDirect Argument Type(s)Aggregated Argument Type(s)Return TypePartial ModeDescription
mode() WITHIN GROUP (ORDER BYsort_expression) any sortable type same as sort expressionNo returns the most frequent input value (arbitrarily choosing the first one if there are multiple equally-frequent results)
percentile_cont(fraction) WITHIN GROUP (ORDER BYsort_expression)double precisiondouble precision orinterval same as sort expressionNo 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 BYsort_expression)double precision[]double precision orinterval array of sort expression's typeNo multiple continuous percentile: returns an array of results matching the shape of thefractions parameter, with each non-null element replaced by the value corresponding to that percentile
percentile_disc(fraction) WITHIN GROUP (ORDER BYsort_expression)double precision any sortable type same as sort expressionNo discrete percentile: returns the first input value whose position in the ordering equals or exceeds the specified fraction
percentile_disc(fractions) WITHIN GROUP (ORDER BYsort_expression)double precision[] any sortable type array of sort expression's typeNo multiple discrete percentile: returns an array of results matching the shape of thefractions parameter, with each non-null element replaced by the input value corresponding to that percentile

All the aggregates listed inTable 9.54 ignore null values in their sorted input. For those that take afraction 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 inTable 9.55 is associated with a window function of the same name defined inSection 9.21. In each case, the aggregate result is the value that the associated window function would have returned for thehypothetical row constructed fromargs, if such a row had been added to the sorted group of rows computed from thesorted_args.

Table 9.55. Hypothetical-Set Aggregate Functions

FunctionDirect Argument Type(s)Aggregated Argument Type(s)Return TypePartial ModeDescription
rank(args) WITHIN GROUP (ORDER BYsorted_args)VARIADIC"any"VARIADIC"any"bigintNo rank of the hypothetical row, with gaps for duplicate rows
dense_rank(args) WITHIN GROUP (ORDER BYsorted_args)VARIADIC"any"VARIADIC"any"bigintNo rank of the hypothetical row, without gaps
percent_rank(args) WITHIN GROUP (ORDER BYsorted_args)VARIADIC"any"VARIADIC"any"double precisionNo relative rank of the hypothetical row, ranging from 0 to 1
cume_dist(args) WITHIN GROUP (ORDER BYsorted_args)VARIADIC"any"VARIADIC"any"double precisionNo 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 inargs must match the number and types of the aggregated arguments given insorted_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 theORDER BY clause.

Table 9.56. Grouping Operations

FunctionReturn TypeDescription
GROUPING(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 (seeSection 7.2.4) to distinguish result rows. The arguments to theGROUPING operation are not actually evaluated, but they must match exactly expressions given in theGROUP 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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