Simple aggregate functions & combinators

Q. What is SimpleAggregateFunction? Are there advantages to use it instead of AggregateFunction in AggregatingMergeTree?

SimpleAggregateFunction can be used for those aggregations when the function state is exactly the same as the resulting function value. Typical example is max function: it only requires storing the single value which is already maximum, and no extra steps needed to get the final value. In contrast avg need to store two numbers - sum & count, which should be divided to get the final value of aggregation (done by the -Merge step at the very end).

SimpleAggregateFunctionAggregateFunction
inserting

accepts the value of underlying type OR

a value of corresponding SimpleAggregateFunction type

CREATE TABLE saf_test
( x SimpleAggregateFunction(max, UInt64) )
ENGINE=AggregatingMergeTree
ORDER BY tuple();

INSERT INTO saf_test VALUES (1);
INSERT INTO saf_test SELECT max(number) FROM numbers(10);
INSERT INTO saf_test SELECT maxSimpleState(number) FROM numbers(20);

ONLY accepts the state of same aggregate function calculated using -State combinator
storingInternally store just a value of underlying typefunction-specific state
storage usagetypically is much better due to better compression/codecs

in very rare cases it can be more optimal than raw values

adaptive granularity doesn't work for large states

reading raw value per rowyou can access it directlyyou need to use finalizeAgggregation function
using aggregated value

just

select max(x) from test;

you need to use -Merge combinator
select maxMerge(x) from test;

memory usagetypically less memory needed (in some corner cases even 10 times)typically uses more memory, as every state can be quite complex
performancetypically better, due to lower overheadworse

See also:

Q. How maxSimpleState combinator result differs from plain max?

They produce the same result, but types differ (the first have SimpleAggregateFunction datatype). Both can be pushed to SimpleAggregateFunction or to the underlying type. So they are interchangeable.

Q. Can I use -If combinator with SimpleAggregateFunction?

Something like SimpleAggregateFunction(maxIf, UInt64, UInt8) is NOT possible. But is 100% ok to push maxIf (or maxSimpleStateIf) into SimpleAggregateFunction(max, UInt64)

There is one problem with that approach: -SimpleStateIf Would produce 0 as result in case of no-match, and it can mess up some aggregate functions state. It wouldn’t affect functions like max/argMax/sum, but could affect functions like min/argMin/any/anyLast

SELECT
    minIfMerge(state_1),
    min(state_2)
FROM
(
    SELECT
        minIfState(number, number > 5) AS state_1,
        minSimpleStateIf(number, number > 5) AS state_2
    FROM numbers(5)
    UNION ALL
    SELECT
        minIfState(toUInt64(2), 2),
        minIf(2, 2)
)

┌─minIfMerge(state_1)─┬─min(state_2)─┐
                   2             0 
└─────────────────────┴──────────────┘

You can easily workaround that:

  1. Using Nullable datatype.
  2. Set result to some big number in case of no-match, which would be bigger than any possible value, so it would be safe to use. But it would work only for min/argMin
SELECT
    min(state_1),
    min(state_2)
FROM
(
    SELECT
        minSimpleState(if(number > 5, number, 1000)) AS state_1,
        minSimpleStateIf(toNullable(number), number > 5) AS state_2
    FROM numbers(5)
    UNION ALL
    SELECT
        minIf(2, 2),
        minIf(2, 2)
)

┌─min(state_1)─┬─min(state_2)─┐
            2             2 
└──────────────┴──────────────┘

Extra example

WITH
    minIfState(number, number > 5) AS state_1,
    minSimpleStateIf(number, number > 5) AS state_2
SELECT
    byteSize(state_1),
    toTypeName(state_1),
    byteSize(state_2),
    toTypeName(state_2)
FROM numbers(10)
FORMAT Vertical

-- For UInt64
Row 1:
──────
byteSize(state_1):   24
toTypeName(state_1): AggregateFunction(minIf, UInt64, UInt8)
byteSize(state_2):   8
toTypeName(state_2): SimpleAggregateFunction(min, UInt64)

-- For UInt32
──────
byteSize(state_1):   16
byteSize(state_2):   4

-- For UInt16
──────
byteSize(state_1):   12
byteSize(state_2):   2

-- For UInt8
──────
byteSize(state_1):   10
byteSize(state_2):   1

See also https://gist.github.com/filimonov/a4f6754497f02fcef78e9f23a4d170ee