Write parquet statistics for IntervalDayTimeArray , IntervalMonthDayNanoArray and IntervalYearMonthArray

[alamb]

Is your feature request related to a problem or challenge? Please describe what you are trying to do.

As we worked on filling out support for converting parquet statistics into ArrayRefs in DataFusion (see apache/datafusion#10453) @marvinlanhenke discovered that

Describe the solution you'd like
Support writing the following types of data with statistics in the parquet ArrowWriter

• IntervalDayTimeArray
• IntervalMonthDayNanoArray
• IntervalYearMonthArray

This might be the location:

arrow-rs/parquet/src/arrow/arrow_writer/mod.rs

Line 747 in fa8d350

_ => return Err(ParquetError::NYI(

Describe alternatives you've considered

Additional context

apache/datafusion#10801 (comment)

[marvinlanhenke]

for additional context and possibly code pointers where Interval support is missing.

[alamb]

@marvinlanhenke also points out that to completely support this ticket probably requires completing #5849 first

[tustvold]

It is incorrect to write statistics for interval types, as per the format specification - https://github.com/apache/parquet-format/blob/master/LogicalTypes.md#interval

[alamb]

That makes sense. Thank you @tustvold