<!--
doc/src/sgml/ref/create_aggregate.sgml
PostgreSQL documentation
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<refentry id="SQL-CREATEAGGREGATE">
 <refmeta>
  <refentrytitle>CREATE AGGREGATE</refentrytitle>
  <manvolnum>7</manvolnum>
  <refmiscinfo>SQL - Language Statements</refmiscinfo>
 </refmeta>

 <refnamediv>
  <refname>CREATE AGGREGATE</refname>
  <refpurpose>define a new aggregate function</refpurpose>
 </refnamediv>

 <indexterm zone="sql-createaggregate">
  <primary>CREATE AGGREGATE</primary>
 </indexterm>

 <refsynopsisdiv>
<synopsis>
CREATE AGGREGATE <replaceable class="parameter">name</replaceable> ( [ <replaceable class="parameter">argmode</replaceable> ] [ <replaceable class="parameter">argname</replaceable> ] <replaceable class="parameter">arg_data_type</replaceable> [ , ... ] ) (
    SFUNC = <replaceable class="PARAMETER">sfunc</replaceable>,
    STYPE = <replaceable class="PARAMETER">state_data_type</replaceable>
    [ , SSPACE = <replaceable class="PARAMETER">state_data_size</replaceable> ]
    [ , FINALFUNC = <replaceable class="PARAMETER">ffunc</replaceable> ]
    [ , INITCOND = <replaceable class="PARAMETER">initial_condition</replaceable> ]
    [ , SORTOP = <replaceable class="PARAMETER">sort_operator</replaceable> ]
)

CREATE AGGREGATE <replaceable class="parameter">name</replaceable> ( [ [ <replaceable class="parameter">argmode</replaceable> ] [ <replaceable class="parameter">argname</replaceable> ] <replaceable class="parameter">arg_data_type</replaceable> [ , ... ] ]
                        ORDER BY [ <replaceable class="parameter">argmode</replaceable> ] [ <replaceable class="parameter">argname</replaceable> ] <replaceable class="parameter">arg_data_type</replaceable> [ , ... ] ) (
    SFUNC = <replaceable class="PARAMETER">sfunc</replaceable>,
    STYPE = <replaceable class="PARAMETER">state_data_type</replaceable>
    [ , SSPACE = <replaceable class="PARAMETER">state_data_size</replaceable> ]
    [ , FINALFUNC = <replaceable class="PARAMETER">ffunc</replaceable> ]
    [ , INITCOND = <replaceable class="PARAMETER">initial_condition</replaceable> ]
    [ , HYPOTHETICAL ]
)

<phrase>or the old syntax</phrase>

CREATE AGGREGATE <replaceable class="PARAMETER">name</replaceable> (
    BASETYPE = <replaceable class="PARAMETER">base_type</replaceable>,
    SFUNC = <replaceable class="PARAMETER">sfunc</replaceable>,
    STYPE = <replaceable class="PARAMETER">state_data_type</replaceable>
    [ , SSPACE = <replaceable class="PARAMETER">state_data_size</replaceable> ]
    [ , FINALFUNC = <replaceable class="PARAMETER">ffunc</replaceable> ]
    [ , INITCOND = <replaceable class="PARAMETER">initial_condition</replaceable> ]
    [ , SORTOP = <replaceable class="PARAMETER">sort_operator</replaceable> ]
)
</synopsis>
 </refsynopsisdiv>

 <refsect1>
  <title>Description</title>

  <para>
   <command>CREATE AGGREGATE</command> defines a new aggregate
   function. Some basic and commonly-used aggregate functions are
   included with the distribution; they are documented in <xref
   linkend="functions-aggregate">. If one defines new types or needs
   an aggregate function not already provided, then <command>CREATE
   AGGREGATE</command> can be used to provide the desired features.
  </para>

  <para>
   If a schema name is given (for example, <literal>CREATE AGGREGATE
   myschema.myagg ...</>) then the aggregate function is created in the
   specified schema.  Otherwise it is created in the current schema.
  </para>

  <para>
   An aggregate function is identified by its name and input data type(s).
   Two aggregates in the same schema can have the same name if they operate on
   different input types.  The
   name and input data type(s) of an aggregate must also be distinct from
   the name and input data type(s) of every ordinary function in the same
   schema.
   This behavior is identical to overloading of ordinary function names
   (see <xref linkend="sql-createfunction">).
  </para>

  <para>
   An aggregate function is made from one or two ordinary
   functions:
   a state transition function
   <replaceable class="PARAMETER">sfunc</replaceable>,
   and an optional final calculation function
   <replaceable class="PARAMETER">ffunc</replaceable>.
   These are used as follows:
<programlisting>
<replaceable class="PARAMETER">sfunc</replaceable>( internal-state, next-data-values ) ---> next-internal-state
<replaceable class="PARAMETER">ffunc</replaceable>( internal-state ) ---> aggregate-value
</programlisting>
  </para>

  <para>
   <productname>PostgreSQL</productname> creates a temporary variable
   of data type <replaceable class="PARAMETER">stype</replaceable>
   to hold the current internal state of the aggregate.  At each input row,
   the aggregate argument value(s) are calculated and
   the state transition function is invoked with the current state value
   and the new argument value(s) to calculate a new
   internal state value.  After all the rows have been processed,
   the final function is invoked once to calculate the aggregate's return
   value.  If there is no final function then the ending state value
   is returned as-is.
  </para>

  <para>
   An aggregate function can provide an initial condition,
   that is, an initial value for the internal state value.
   This is specified and stored in the database as a value of type
   <type>text</type>, but it must be a valid external representation
   of a constant of the state value data type.  If it is not supplied
   then the state value starts out null.
  </para>

  <para>
   If the state transition function is declared <quote>strict</quote>,
   then it cannot be called with null inputs.  With such a transition
   function, aggregate execution behaves as follows.  Rows with any null input
   values are ignored (the function is not called and the previous state value
   is retained).  If the initial state value is null, then at the first row
   with all-nonnull input values, the first argument value replaces the state
   value, and the transition function is invoked at subsequent rows with
   all-nonnull input values.
   This is handy for implementing aggregates like <function>max</function>.
   Note that this behavior is only available when
   <replaceable class="PARAMETER">state_data_type</replaceable>
   is the same as the first
   <replaceable class="PARAMETER">arg_data_type</replaceable>.
   When these types are different, you must supply a nonnull initial
   condition or use a nonstrict transition function.
  </para>

  <para>
   If the state transition function is not strict, then it will be called
   unconditionally at each input row, and must deal with null inputs
   and null state values for itself.  This allows the aggregate
   author to have full control over the aggregate's handling of null values.
  </para>

  <para>
   If the final function is declared <quote>strict</quote>, then it will not
   be called when the ending state value is null; instead a null result
   will be returned automatically.  (Of course this is just the normal
   behavior of strict functions.)  In any case the final function has
   the option of returning a null value.  For example, the final function for
   <function>avg</function> returns null when it sees there were zero
   input rows.
  </para>

  <para>
   The syntax with <literal>ORDER BY</literal> in the parameter list creates
   a special type of aggregate called an <firstterm>ordered-set
   aggregate</firstterm>; or if <literal>HYPOTHETICAL</> is specified, then
   a <firstterm>hypothetical-set aggregate</firstterm> is created.  These
   aggregates operate over groups of sorted values in order-dependent ways,
   so that specification of an input sort order is an essential part of a
   call.  Also, they can have <firstterm>direct</> arguments, which are
   arguments that are evaluated only once per aggregation rather than once
   per input row.  Hypothetical-set aggregates are a subclass of ordered-set
   aggregates in which some of the direct arguments are required to match,
   in number and datatypes, the aggregated argument columns.  This allows
   the values of those direct arguments to be added to the collection of
   aggregate-input rows as an additional <quote>hypothetical</> row.
  </para>

  <para>
   Aggregates that behave like <function>MIN</> or <function>MAX</> can
   sometimes be optimized by looking into an index instead of scanning every
   input row.  If this aggregate can be so optimized, indicate it by
   specifying a <firstterm>sort operator</>.  The basic requirement is that
   the aggregate must yield the first element in the sort ordering induced by
   the operator; in other words:
<programlisting>
SELECT agg(col) FROM tab;
</programlisting>
   must be equivalent to:
<programlisting>
SELECT col FROM tab ORDER BY col USING sortop LIMIT 1;
</programlisting>
   Further assumptions are that the aggregate ignores null inputs, and that
   it delivers a null result if and only if there were no non-null inputs.
   Ordinarily, a data type's <literal>&lt;</> operator is the proper sort
   operator for <function>MIN</>, and <literal>&gt;</> is the proper sort
   operator for <function>MAX</>.  Note that the optimization will never
   actually take effect unless the specified operator is the <quote>less
   than</quote> or <quote>greater than</quote> strategy member of a B-tree
   index operator class.
  </para>

  <para>
   To be able to create an aggregate function, you must
   have <literal>USAGE</literal> privilege on the argument types, the state
   type, and the return type, as well as <literal>EXECUTE</literal> privilege
   on the transition and final functions.
  </para>
 </refsect1>

 <refsect1>
  <title>Parameters</title>

  <variablelist>
   <varlistentry>
    <term><replaceable class="PARAMETER">name</replaceable></term>
    <listitem>
     <para>
      The name (optionally schema-qualified) of the aggregate function
      to create.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="parameter">argmode</replaceable></term>

    <listitem>
     <para>
      The mode of an argument: <literal>IN</> or <literal>VARIADIC</>.
      (Aggregate functions do not support <literal>OUT</> arguments.)
      If omitted, the default is <literal>IN</>.  Only the last argument
      can be marked <literal>VARIADIC</>.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="parameter">argname</replaceable></term>

    <listitem>
     <para>
      The name of an argument.  This is currently only useful for
      documentation purposes.  If omitted, the argument has no name.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">arg_data_type</replaceable></term>
    <listitem>
     <para>
      An input data type on which this aggregate function operates.
      To create a zero-argument aggregate function, write <literal>*</>
      in place of the list of argument specifications.  (An example of such an
      aggregate is <function>count(*)</function>.)
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">base_type</replaceable></term>
    <listitem>
     <para>
      In the old syntax for <command>CREATE AGGREGATE</>, the input data type
      is specified by a <literal>basetype</> parameter rather than being
      written next to the aggregate name.  Note that this syntax allows
      only one input parameter.  To define a zero-argument aggregate function
      with this syntax, specify the <literal>basetype</> as
      <literal>"ANY"</> (not <literal>*</>).
      Ordered-set aggregates cannot be defined with the old syntax.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">sfunc</replaceable></term>
    <listitem>
     <para>
      The name of the state transition function to be called for each
      input row.  For a normal <replaceable class="PARAMETER">N</>-argument
      aggregate function, the <replaceable class="PARAMETER">sfunc</>
      must take <replaceable class="PARAMETER">N</>+1 arguments,
      the first being of type <replaceable
      class="PARAMETER">state_data_type</replaceable> and the rest
      matching the declared input data type(s) of the aggregate.
      The function must return a value of type <replaceable
      class="PARAMETER">state_data_type</replaceable>.  This function
      takes the current state value and the current input data value(s),
      and returns the next state value.
     </para>

     <para>
      For ordered-set (including hypothetical-set) aggregates, the state
      transition function receives only the current state value and the
      aggregated arguments, not the direct arguments.  Otherwise it is the
      same.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">state_data_type</replaceable></term>
    <listitem>
     <para>
      The data type for the aggregate's state value.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">state_data_size</replaceable></term>
    <listitem>
     <para>
      The approximate average size (in bytes) of the aggregate's state value.
      If this parameter is omitted or is zero, a default estimate is used
      based on the <replaceable>state_data_type</>.
      The planner uses this value to estimate the memory required for a
      grouped aggregate query.  The planner will consider using hash
      aggregation for such a query only if the hash table is estimated to fit
      in <xref linkend="guc-work-mem">; therefore, large values of this
      parameter discourage use of hash aggregation.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">ffunc</replaceable></term>
    <listitem>
     <para>
      The name of the final function called to compute the aggregate's
      result after all input rows have been traversed.
      For a normal aggregate, this function
      must take a single argument of type <replaceable
      class="PARAMETER">state_data_type</replaceable>.  The return
      data type of the aggregate is defined as the return type of this
      function.  If <replaceable class="PARAMETER">ffunc</replaceable>
      is not specified, then the ending state value is used as the
      aggregate's result, and the return type is <replaceable
      class="PARAMETER">state_data_type</replaceable>.
     </para>

     <para>
      For ordered-set (including hypothetical-set) aggregates, the
      final function receives not only the final state value,
      but also the values of all the direct arguments, followed by
      null values corresponding to each aggregated argument.
      (The reason for including the aggregated arguments in the function
      signature is that this may be necessary to allow correct resolution
      of the aggregate result type, when a polymorphic aggregate is
      being defined.)
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">initial_condition</replaceable></term>
    <listitem>
     <para>
      The initial setting for the state value.  This must be a string
      constant in the form accepted for the data type <replaceable
      class="PARAMETER">state_data_type</replaceable>.  If not
      specified, the state value starts out null.
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><replaceable class="PARAMETER">sort_operator</replaceable></term>
    <listitem>
     <para>
      The associated sort operator for a <function>MIN</>- or
      <function>MAX</>-like aggregate.
      This is just an operator name (possibly schema-qualified).
      The operator is assumed to have the same input data types as
      the aggregate (which must be a single-argument normal aggregate).
     </para>
    </listitem>
   </varlistentry>

   <varlistentry>
    <term><literal>HYPOTHETICAL</literal></term>
    <listitem>
     <para>
      For ordered-set aggregates only, this flag specifies that the aggregate
      arguments are to be processed according to the requirements for
      hypothetical-set aggregates: that is, the last few direct arguments must
      match the data types of the aggregated (<literal>WITHIN GROUP</>)
      arguments.  The <literal>HYPOTHETICAL</literal> flag has no effect on
      run-time behavior, only on parse-time resolution of the data types and
      collations of the aggregate's arguments.
     </para>
    </listitem>
   </varlistentry>
  </variablelist>

  <para>
   The parameters of <command>CREATE AGGREGATE</command> can be
   written in any order, not just the order illustrated above.
  </para>
 </refsect1>

 <refsect1>
  <title>Notes</title>

   <para>
    The syntax for ordered-set aggregates allows <literal>VARIADIC</>
    to be specified for both the last direct parameter and the last
    aggregated (<literal>WITHIN GROUP</>) parameter.  However, the
    current implementation restricts use of <literal>VARIADIC</>
    in two ways.  First, ordered-set aggregates can only use
    <literal>VARIADIC "any"</>, not other variadic array types.
    Second, if the last direct parameter is <literal>VARIADIC "any"</>,
    then there can be only one aggregated parameter and it must also
    be <literal>VARIADIC "any"</>.  (In the representation used in the
    system catalogs, these two parameters are merged into a single
    <literal>VARIADIC "any"</> item, since <structname>pg_proc</> cannot
    represent functions with more than one <literal>VARIADIC</> parameter.)
    If the aggregate is a hypothetical-set aggregate, the direct arguments
    that match the <literal>VARIADIC "any"</> parameter are the hypothetical
    ones; any preceding parameters represent additional direct arguments
    that are not constrained to match the aggregated arguments.
   </para>
 </refsect1>

 <refsect1>
  <title>Examples</title>

  <para>
   See <xref linkend="xaggr">.
  </para>
 </refsect1>

 <refsect1>
  <title>Compatibility</title>

  <para>
   <command>CREATE AGGREGATE</command> is a
   <productname>PostgreSQL</productname> language extension.  The SQL
   standard does not provide for user-defined aggregate functions.
  </para>
 </refsect1>

 <refsect1>
  <title>See Also</title>

  <simplelist type="inline">
   <member><xref linkend="sql-alteraggregate"></member>
   <member><xref linkend="sql-dropaggregate"></member>
  </simplelist>
 </refsect1>
</refentry>
