Convert `stddev` to udaf

[jayzhan211]

Is your feature request related to a problem or challenge?

Similar to #10713 and others in #8708

1. Move code from datafusion/physical-expr/src/aggregate/stddev.rs to datafusion/functions-aggregate/src/stddev.rs
2. Add expression api in roundtrip_expr_api in datafusion/proto/tests/cases/roundtrip_logical_plan.rs
3. Use lowercase for name

Describe the solution you'd like

No response

Describe alternatives you've considered

No response

Additional context

No response

[goldmedal]

take

[goldmedal]

Hi @jayzhan211,
Although this issue only mentions stddev, I'm thinking about stddev_pop. Should I also convert it to UDAF? I found that #10713 only converted var_sample but left variance_pop. Is there any reason we didn't convert variance_pop too?

[jayzhan211]

Hi @jayzhan211, Although this issue only mentions stddev, I'm thinking about stddev_pop. Should I also convert it to UDAF? I found that #10713 only converted var_sample but left variance_pop. Is there any reason we didn't convert variance_pop too?

We should also convert population function, variance pop is tracked at #10668.
stddev_pop is also on the todo list in #8708.

[goldmedal]

Got it. I think I can convert them in the same PR. Thanks.