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PrevUpChapter 9. Functions and OperatorsNext

9.18. Aggregate Functions

Aggregate functions compute a single result from a set of input values. The built-in aggregate functions are listed inTable 9-43 andTable 9-44. The special syntax considerations for aggregate functions are explained inSection 4.2.7. ConsultSection 2.7 for additional introductory information.

Table 9-43. 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-point argument, 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 if none
bit_or(expression)smallint,int,bigint, orbitsame as argument data typethe bitwise OR of all non-null input values, or null if none
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
max(expression)any array, numeric, string, or date/time typesame as argument typemaximum value ofexpression across all input values
min(expression)any array, numeric, string, or date/time typesame as argument typeminimum value ofexpression across all input values
string_agg(expression,delimiter)text,texttextinput 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 typesum ofexpression across all input values
xmlagg(expression)xmlxmlconcatenation of 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.

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 be executed byPostgreSQL using a sequential scan of the entire table.

The aggregate functionsarray_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;

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

Table 9-44 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 9-44. 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 determined by 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 by the (X,Y) pairs
regr_sxx(Y,X)double precisiondouble precisionsum(X^2) - sum(X)^2/N ("sum of squares" of the independent variable)
regr_sxy(Y,X)double precisiondouble precisionsum(X*Y) - sum(X) * sum(Y)/N ("sum of products" of independent times dependent variable)
regr_syy(Y,X)double precisiondouble precisionsum(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, otherwisenumerichistorical alias forstddev_samp
stddev_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericpopulation standard deviation of the input values
stddev_samp(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericsample standard deviation of the input values
variance(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumerichistorical alias forvar_samp
var_pop(expression)smallint,int,bigint,real,double precision, ornumericdouble precision for floating-point arguments, otherwisenumericpopulation 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, otherwisenumericsample variance of the input values (square of the sample standard deviation)

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