Retrieve Data and Index Directory of table

[J Jorgenson]

How do I find the data and index directory of an existing table within the database?

Is there any alternate method besides parsing the output from 'Show Create Table' ?

Is there any location within the information_schema that provides the options from the original table Create SQL?

How about table create options for partitioned tables, like "index directory" of each partition?

I'm looking for a programmatic method to retrieve the table create options, like 'DELAY_KEY_WRITE' or 'DATA DIRECTORY'.