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* feat(function): add mergeable binary average states Signed-off-by: discord9 <discord9@163.com> * feat(function): expose avg_calc as an OSS scalar Signed-off-by: discord9 <discord9@163.com> * fix(function): borrow invalid AVG scalar argument type Signed-off-by: discord9 <discord9@163.com> * test(function): verify public AVG state SQL finalization Signed-off-by: discord9 <discord9@163.com> * fix(function): return canonical AVG1 state for empty window frames DataFusion's plain-aggregate window executor bypasses the accumulator and calls default_value() directly when a window frame contains no rows. create_udaf's SimpleAggregateUDF derives default_value from the return type, which yields SQL NULL for Binary output instead of the canonical AVG1 empty state, so empty frames and frames over only NULL inputs became observable differently (IS NULL, direct state saves, state comparisons). Register avg_state/avg_merge through a small AggregateUDFImpl (AvgUdaf) that keeps the existing accumulator and declares the canonical AVG1 empty state as default_value, restoring the documented contract. Add a unit test asserting default_value equals the empty accumulator's evaluate() and an sqlness case covering the empty-frame window. Signed-off-by: discord9 <discord9@outlook.com> --------- Signed-off-by: discord9 <discord9@163.com> Signed-off-by: discord9 <discord9@outlook.com> Co-authored-by: discord9 <discord9@outlook.com>