It can be done using desc as shown below:
df=spark.sql("""desc test_dev_db.partition_date_table""")
>>> df.show(truncate=False)
+-----------------------+---------+-------+
|col_name |data_type|comment|
+-----------------------+---------+-------+
|emp_id |int |null |
|emp_name |string |null |
|emp_salary |int |null |
|emp_date |date |null |
|year |string |null |
|month |string |null |
|day |string |null |
|# Partition Information| | |
|# col_name |data_type|comment|
|year |string |null |
|month |string |null |
|day |string |null |
+-----------------------+---------+-------+
Since this table was partitioned, So here you can see the partition column information along with their datatypes.
It seems your are interested in just partition column name and their respective data types. Hence I am creating a list of tuples.
partition_list=df.select(df.col_name,df.data_type).rdd.map(lambda x:(x[0],x[1])).collect()
>>> print partition_list
[(u'emp_id', u'int'), (u'emp_name', u'string'), (u'emp_salary', u'int'), (u'emp_date', u'date'), (u'year', u'string'), (u'month', u'string'), (u'day', u'string'), (u'# Partition Information', u''), (u'# col_name', u'data_type'), (u'year', u'string'), (u'month', u'string'), (u'day', u'string')]
partition_details = [partition_list[index+1:] for index,item in enumerate(partition_list) if item[0]=='# col_name']
>>> print partition_details
[[(u'year', u'string'), (u'month', u'string'), (u'day', u'string')]]
It will return empty list in case table is not partitioned. Hope this helps.