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PrevUpChapter 9. Functionsand OperatorsNext

9.20. Aggregate Functions

Aggregate functions compute a singleresult from a set of input values. The built-in aggregate functionsare listed inTable 9-47andTable9-48. The special syntax considerations for aggregate functionsare explained inSection 4.2.7. ConsultSection 2.7 for additionalintroductory information.

Table 9-47. General-Purpose Aggregate Functions

FunctionArgument Type(s)Return TypeDescription
array_agg(expression)anyarray of the argument typeinput values, including nulls, concatenated into an array
avg(expression)smallint,int,bigint,real,double precision,numeric, orintervalnumeric for any integer-type argument,double precision for a floating-pointargument, otherwise the same as the argument data typethe average (arithmetic mean) of all input values
bit_and(expression)smallint,int,bigint, orbitsame as argument data typethe bitwise AND of all non-null input values, or null ifnone
bit_or(expression)smallint,int,bigint, orbitsame as argument data typethe bitwise OR of all non-null input values, or null ifnone
bool_and(expression)boolbooltrue if all input values are true, otherwise false
bool_or(expression)boolbooltrue if at least one input value is true, otherwise false
count(*) bigintnumber of input rows
count(expression)anybigintnumber of input rows for which the value ofexpression is not null
every(expression)boolboolequivalent tobool_and
json_agg(expression)anyjsonaggregates values as a JSON array
max(expression)any array, numeric, string, or date/time typesame as argument typemaximum value ofexpressionacross all input values
min(expression)any array, numeric, string, or date/time typesame as argument typeminimum value ofexpressionacross all input values
string_agg(expression,delimiter)(text,text) or(bytea,bytea)same as argument typesinput values concatenated into a string, separated bydelimiter
sum(expression)smallint,int,bigint,real,double precision,numeric,interval, ormoneybigint forsmallintorint arguments,numeric forbigint arguments,otherwise the same as the argument data typesum ofexpression across allinput values
xmlagg(expression)xmlxmlconcatenation of XML values (see alsoSection9.14.1.7)

It should be noted that except forcount, these functions return a null value whenno rows are selected. In particular,sum of no rows returns null, not zero as onemight expect, andarray_agg returnsnull rather than an empty array when there are no input rows. Thecoalesce function can be used tosubstitute zero or an empty array for null when necessary.

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

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

HereANY can be considered eitheras introducing a subquery, or as being an aggregate function, ifthe subquery returns one row with a Boolean value. Thus thestandard name cannot be given to these aggregates.

Note: Users accustomed to working with other SQL databasemanagement systems might be disappointed by the performance of thecount aggregate when it is applied tothe entire table. A query like:

SELECT count(*) FROM sometable;

will require effort proportional to the size of the table:PostgreSQL will need to scaneither the entire table or the entirety of an index which includesall rows in the table.

The aggregate functionsarray_agg,json_agg,string_agg, andxmlagg, as well as similar user-defined aggregatefunctions, produce meaningfully different result values dependingon the order of the input values. This ordering is unspecified bydefault, but can be controlled by writing anORDER BY clause within the aggregate call, as showninSection4.2.7. Alternatively, supplying the input values from a sortedsubquery will usually work. For example:

SELECT xmlagg(x) FROM (SELECT x FROM test ORDER BY y DESC) AS tab;

But this syntax is not allowed in the SQL standard, and is notportable to other database systems.

Table9-48 shows aggregate functions typically used in statisticalanalysis. (These are separated out merely to avoid cluttering thelisting of more-commonly-used aggregates.) Where the descriptionmentionsN, it means the number ofinput rows for which all the input expressions are non-null. In allcases, null is returned if the computation is meaningless, forexample whenN is zero.

Table 9-48. Aggregate Functions for Statistics

FunctionArgument TypeReturn TypeDescription
corr(Y,X)double precisiondouble precisioncorrelation coefficient
covar_pop(Y,X)double precisiondouble precisionpopulation covariance
covar_samp(Y,X)double precisiondouble precisionsample covariance
regr_avgx(Y,X)double precisiondouble precisionaverage of the independent variable (sum(X)/N)
regr_avgy(Y,X)double precisiondouble precisionaverage of the dependent variable (sum(Y)/N)
regr_count(Y,X)double precisionbigintnumber of input rows in which both expressions are nonnull
regr_intercept(Y,X)double precisiondouble precisiony-intercept of the least-squares-fit linear equation determinedby the (X,Y) pairs
regr_r2(Y,X)double precisiondouble precisionsquare of the correlation coefficient
regr_slope(Y,X)double precisiondouble precisionslope of the least-squares-fit linear equation determined bythe (X,Y) pairs
regr_sxx(Y,X)double precisiondouble precisionsum(X^2) -sum(X)^2/N ("sum ofsquares" of the independent variable)
regr_sxy(Y,X)double precisiondouble precisionsum(X*Y) -sum(X) * sum(Y)/N("sum of products" of independent timesdependent variable)
regr_syy(Y,X)double precisiondouble precisionsum(Y^2) -sum(Y)^2/N ("sum ofsquares" of the dependent variable)
stddev(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumerichistorical alias forstddev_samp
stddev_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumericpopulation standard deviation of the input values
stddev_samp(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumericsample standard deviation of the input values
variance(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumerichistorical alias forvar_samp
var_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumericpopulation variance of the input values (square of thepopulation standard deviation)
var_samp(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-pointarguments, otherwisenumericsample variance of the input values (square of the samplestandard deviation)

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