-- int mul to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(5::int, ints) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      | pg_typeof 
-------------+-----------
 {5,NULL,10} | integer[]
(1 row)

-- int mul to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(ints, 5::int) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      | pg_typeof 
-------------+-----------
 {5,NULL,10} | integer[]
(1 row)

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

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

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

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

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

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

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

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

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

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

-- float mul to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(5::float, floats) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      |     pg_typeof      
-------------+--------------------
 {5,NULL,10} | double precision[]
(1 row)

-- float mul to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(floats, 5::float) FROM measurements WHERE sensor_id IN (4)) r(r);
      r      |     pg_typeof      
-------------+--------------------
 {5,NULL,10} | double precision[]
(1 row)

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

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

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

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

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

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

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

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

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

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

-- numeric mul to scalar lhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(5::numeric, nums) FROM measurements WHERE sensor_id IN (4)) r(r);
         r         | pg_typeof 
-------------------+-----------
 {6.15,NULL,11.70} | numeric[]
(1 row)

-- numeric mul to scalar rhs
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(nums, 5::numeric) FROM measurements WHERE sensor_id IN (4)) r(r);
         r         | pg_typeof 
-------------------+-----------
 {6.15,NULL,11.70} | numeric[]
(1 row)

-- numeric mul to array
SELECT r, pg_typeof(r) FROM (SELECT vec_mul(nums, nums) FROM measurements WHERE sensor_id IN (4)) r(r);
          r           | pg_typeof 
----------------------+-----------
 {1.5129,NULL,5.4756} | numeric[]
(1 row)

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

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

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

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

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

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

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

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

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