The 2201F error code in PostgreSQL indicates “invalid_argument_for_power_function,” which occurs when an invalid argument is passed to the POWER() function. The POWER() function in PostgreSQL is used to raise a number to the power of another number, i.e., POWER(a, b) computes a^b.
To diagnose and fix this error, consider the following:
- Check Argument Types: Ensure that both arguments 
aandbare numeric types that are valid for thePOWER()function. - Handle Negative Bases with Non-integer Exponents: The 
POWER()function will return an error if the baseais negative and the exponentbis not an integer. PostgreSQL cannot handle this because it would result in a complex number, which is not supported. - Avoid Zero Power of Zero: An attempt to raise zero to the power of zero (
0^0) will also result in this error, as this operation is undefined in PostgreSQL. - Prevent Negative Exponent of Zero: Raising zero to a negative exponent is not allowed since it implies division by zero, which is undefined.
 
Here are some examples that demonstrate how to avoid the 2201F error:
- Correct Usage with Positive Base:
 
  SELECT POWER(2, 3);
  -- This will return 8, as it is a valid use of POWER().
- Handling Negative Bases:
 
  SELECT POWER(-2, 3);
  -- This will return -8, as the exponent is an integer.
  SELECT POWER(-2, 2);
  -- This will return 4, as the exponent is an integer.
- Avoiding Invalid Negative Base with Non-integer Exponent:
 
  -- This will result in an error:
  -- SELECT POWER(-2, 0.5);
  -- Instead, you can use ABS() to handle the case where the base is negative:
  SELECT POWER(ABS(-2), 0.5);
  -- This will return the square root of 2.
- Avoiding Zero to the Power of Zero:
 
  -- This will result in an error:
  -- SELECT POWER(0, 0);
  -- You can add a condition to handle this case if necessary:
  SELECT CASE
    WHEN base = 0 AND exponent = 0 THEN 'undefined'
    ELSE POWER(base, exponent)::text
  END
  FROM (SELECT 0 AS base, 0 AS exponent) AS example;
  -- This will return 'undefined'.
- Preventing Division by Zero Error:
 
  -- This will result in an error:
  -- SELECT POWER(0, -1);
  -- You can add a condition to handle this case if necessary:
  SELECT CASE
    WHEN base = 0 AND exponent < 0 THEN 'infinity'
    ELSE POWER(base, exponent)::text
  END
  FROM (SELECT 0 AS base, -1 AS exponent) AS example;
  -- This will return 'infinity'.
For more information on error codes and the POWER() function in PostgreSQL, you can refer to the official PostgreSQL documentation.