-- int pow to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::int, ints) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      | pg_typeof 
-------------+-----------
 {5,NULL,25} | integer[]
(1 row)

-- int pow to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(ints, 5::int) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      | pg_typeof 
-------------+-----------
 {1,NULL,32} | integer[]
(1 row)

-- int pow to array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(ints, ints) FROM measurements WHERE sensor_id IN (4)) r(r);
     r      | pg_typeof 
------------+-----------
 {1,NULL,4} | integer[]
(1 row)

-- int pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int, ints) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         | pg_typeof 
------------------+-----------
 {NULL,NULL,NULL} | integer[]
(1 row)

-- int pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(ints, NULL::int) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         | pg_typeof 
------------------+-----------
 {NULL,NULL,NULL} | integer[]
(1 row)

-- int pow scalar to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::int, NULL::int[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- int pow scalar to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int[], 5::int) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- int pow to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(ints, NULL::int[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- int pow to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int[], ints) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- null int pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int, NULL::int[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- null int pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int[], NULL::int) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- null int pow to null array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::int[], NULL::int[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | integer[]
(1 row)

-- float pow to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::float, floats) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      |     pg_typeof      
-------------+--------------------
 {5,NULL,25} | double precision[]
(1 row)

-- float pow to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(floats, 5::float) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      |     pg_typeof      
-------------+--------------------
 {1,NULL,32} | double precision[]
(1 row)

-- float pow to array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(floats, floats) FROM measurements WHERE sensor_id IN (4)) r(r);
     r      |     pg_typeof      
------------+--------------------
 {1,NULL,4} | double precision[]
(1 row)

-- float pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float, floats) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         |     pg_typeof      
------------------+--------------------
 {NULL,NULL,NULL} | double precision[]
(1 row)

-- float pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(floats, NULL::float) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         |     pg_typeof      
------------------+--------------------
 {NULL,NULL,NULL} | double precision[]
(1 row)

-- float pow scalar to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::float, NULL::float[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- float pow scalar to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float[], 5::float) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- float pow to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(floats, NULL::float[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- float pow to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float[], floats) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- null float pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float, NULL::float[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- null float pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float[], NULL::float) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- null float pow to null array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::float[], NULL::float[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r |     pg_typeof      
---+--------------------
   | double precision[]
(1 row)

-- numeric pow to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::numeric, nums) FROM measurements WHERE sensor_id IN (4)) r(r);
                      r                       | pg_typeof 
----------------------------------------------+-----------
 {7.2399089640616945,NULL,43.210551585736423} | numeric[]
(1 row)

-- numeric pow to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(nums, 5::numeric) FROM measurements WHERE sensor_id IN (4)) r(r);
                       r                       | pg_typeof 
-----------------------------------------------+-----------
 {2.8153056843000000,NULL,70.1583371424000000} | numeric[]
(1 row)

-- numeric pow to array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(nums, nums) FROM measurements WHERE sensor_id IN (4)) r(r);
                      r                       | pg_typeof 
----------------------------------------------+-----------
 {1.2899809210012809,NULL,7.3108034201885126} | numeric[]
(1 row)

-- numeric pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric, nums) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         | pg_typeof 
------------------+-----------
 {NULL,NULL,NULL} | numeric[]
(1 row)

-- numeric pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(nums, NULL::numeric) FROM measurements WHERE sensor_id IN (4)) r(r);
        r         | pg_typeof 
------------------+-----------
 {NULL,NULL,NULL} | numeric[]
(1 row)

-- numeric pow scalar to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(5::numeric, NULL::numeric[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- numeric pow scalar to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric[], 5::numeric) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- numeric pow to null array lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(nums, NULL::numeric[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- numeric pow to null array rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric[], nums) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- null numeric pow to null scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric, NULL::numeric[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- null numeric pow to null scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric[], NULL::numeric) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)

-- null numeric pow to null array
SELECT r, pg_typeof(r) FROM (SELECT vec_pow(NULL::numeric[], NULL::numeric[]) FROM measurements WHERE sensor_id IN (4)) r(r);
 r | pg_typeof 
---+-----------
   | numeric[]
(1 row)