-- The persisted states have counts 2 and 1 and sums 3.0 and 6.0.
-- Null and canonical empty states do not change the merged AVG1 state.
SELECT avg_merge(state) = X'4156473103000000000000000000000000002240' AS merged_state_matches
FROM avg1_states;

-- A new state over the equivalent Float64 values has the exact same AVG1 bytes.
WITH generated_values AS (
  SELECT CAST(1.0 AS DOUBLE) AS value
  UNION ALL SELECT CAST(2.0 AS DOUBLE)
  UNION ALL SELECT CAST(6.0 AS DOUBLE)
)
SELECT avg_state(value) = X'4156473103000000000000000000000000002240' AS generated_state_matches
FROM generated_values;

-- A null-only merge is the canonical empty AVG1 state.
SELECT avg_merge(state) = X'4156473100000000000000000000000000000000' AS null_state_is_empty
FROM avg1_states
WHERE state IS NULL;