You can define an aggregate with more than one parameter.
I don't know if that solves your problem, but you could use it like this:
CREATE OR REPLACE FUNCTION myaggsfunc(integer, integer, text) RETURNS integer
IMMUTABLE STRICT LANGUAGE sql AS
$f$
SELECT CASE $3
WHEN '+' THEN $1 + $2
WHEN '*' THEN $1 * $2
ELSE NULL
END
$f$;
CREATE AGGREGATE myagg(integer, text) (
SFUNC = myaggsfunc(integer, integer, text),
STYPE = integer
);
It could be used like this:
CREATE TABLE mytab
AS SELECT * FROM generate_series(1, 10) i;
SELECT myagg(i, '+') FROM mytab;
myagg
-------
55
(1 row)
SELECT myagg(i, '*') FROM mytab;
myagg
---------
3628800
(1 row)
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