Aggregate functions cannot be evaluated directly, since they implicitly
refer to state (the accumulator). To allow for evaluation, we
split the expression into two: an inner expression that is evaluated
over the input vector (once per element). The inner expression calls
the aggregation function, with an extra input parameter (the accumulator).
The outer expression is evaluated once per input vector; it calls
the final function, and its input is just the accumulator. The outer
expression also contains any expressions that operate on the result
of the aggregate function.
The acculator is stored in a temporary.
Simple example:
sum(x)
is transformed into an inner expression:
t1 = (t1 + x) // really sum.aggregation_function
and an outer expression:
result = t1 // really sum.state_to_result_function
Complicated example:
scalar_func(agg1(x, f1(y)), agg2(x, f2(y)))
is transformed into two inner expressions:
t1 = agg1.aggregation_function(t1, x, f1(y))
t2 = agg2.aggregation_function(t2, x, f2(y))
and an outer expression
output = scalar_func(agg1.state_to_result_function(t1),
agg2.state_to_result_function(t2))
There's a small wart: automatically parallelized queries can generate
"reducible" aggregates that have no state_to_result function, since we
want to pass the state back to the coordinator. Detect that and short
circuit evaluation to pass the accumulator directly.
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