11.2.6. Out-of-Range and Overflow Handling

When MySQL stores a value in a numeric column that is outside the permissible range of the column data type, the result depends on the SQL mode in effect at the time:

If strict SQL mode is enabled, MySQL rejects the out-of-range value with an error, and the insert fails, in accordance with the SQL standard.
If no restrictive modes are enabled, MySQL clips the value to the appropriate endpoint of the range and stores the resulting value instead.

When an out-of-range value is assigned to an integer column, MySQL stores the value representing the corresponding endpoint of the column data type range. If you store 256 into a TINYINT or TINYINT UNSIGNED column, MySQL stores 127 or 255, respectively.

When a floating-point or fixed-point column is assigned a value that exceeds the range implied by the specified (or default) precision and scale, MySQL stores the value representing the corresponding endpoint of that range.

Column-assignment conversions that occur due to clipping when MySQL is not operating in strict mode are reported as warnings for ALTER TABLE, LOAD DATA INFILE, UPDATE, and multiple-row INSERT statements. In strict mode, these statements fail, and some or all the values will not be inserted or changed, depending on whether the table is a transactional table and other factors. For details, see Section 5.1.7, "Server SQL Modes".

In MySQL 5.6, overflow during numeric expression evaluation results in an error. For example, the largest signed BIGINT value is 9223372036854775807, so the following expression produces an error:

mysql> SELECT 9223372036854775807 +
        1;ERROR 1690 (22003): BIGINT value is out of range in '(9223372036854775807 + 1)'

To enable the operation to succeed in this case, convert the value to unsigned;

mysql> SELECT CAST(9223372036854775807 AS UNSIGNED) +
        1;+-------------------------------------------+| CAST(9223372036854775807 AS UNSIGNED) + 1 |+-------------------------------------------+|                       9223372036854775808 |+-------------------------------------------+

Whether overflow occurs depends on the range of the operands, so another way to handle the preceding expression is to use exact-value arithmetic because DECIMAL values have a larger range than integers:

mysql> SELECT 9223372036854775807.0 +
        1;+---------------------------+| 9223372036854775807.0 + 1 |+---------------------------+|     9223372036854775808.0 |+---------------------------+

Subtraction between integer values, where one is of type UNSIGNED, produces an unsigned result by default. Prior to MySQL 5.5.5, if the result would otherwise have been negative, it becomes the maximum integer value:

mysql> SET sql_mode =
        '';mysql> SELECT CAST(0 AS UNSIGNED) - 1;+-------------------------+| CAST(0 AS UNSIGNED) - 1 |+-------------------------+|    18446744073709551615 |+-------------------------+

As of MySQL 5.5.5, if the result would otherwise have been negative, an error results:

mysql> SET sql_mode = '';Query OK, 0 rows affected (0.00 sec)mysql> SELECT CAST(0 AS UNSIGNED) - 1;ERROR 1690 (22003): BIGINT UNSIGNED value is out of range in '(cast(0 as unsigned) - 1)'

If the NO_UNSIGNED_SUBTRACTION SQL mode is enabled, the result is negative:

mysql> SET sql_mode =
        'NO_UNSIGNED_SUBTRACTION';mysql> SELECT CAST(0 AS UNSIGNED) -
        1;+-------------------------+| CAST(0 AS UNSIGNED) - 1 |+-------------------------+|                      -1 |+-------------------------+

If the result of such an operation is used to update an UNSIGNED integer column, the result is clipped to the maximum value for the column type, or clipped to 0 if NO_UNSIGNED_SUBTRACTION is enabled. If strict SQL mode is enabled, an error occurs and the column remains unchanged.