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This pages describes the different rounding modes which can be selected for numeric field elements.
This modes rounds away from zero. It increases the absolute value of the number to round, if there is any fractional remainder.
This modes rounds towards zero. It decreases the absolute value of the number to round, if there is any fractional remainder.
This modes rounds towards positive infinity. It increases the value of the number to round, if there is any fractional remainder. That way the rounded value will always be greater or equal to the value to round.
This modes rounds towards negative infinity. It decreases the value of the number to round, if there is any fractional remainder. That way the rounded value will always be lesser or equal to the value to round.
This modes rounds towards the nearest neighbor. If both neighbors are equidistant, this mode will have the same effect as round up.
This modes rounds towards the nearest neighbor. If both neighbors are equidistant, this mode will have the same effect as round down.
This modes rounds towards the nearest neighbor. If both neighbors are equidistant, this mode will round towards the even neighbor. Round half even has the minimum cumulative error and is therefore the default rounding mode.
| Input | Up | Down | Ceil | Floor | Half up | Half down | Half even |
| -2.50 | -3 | -2 | -2 | -3 | -3 | -2 | -2 |
| -1.50 | -2 | -1 | -1 | -2 | -2 | -1 | -2 |
| -1.00 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| -0.60 | -1 | 0 | 0 | -1 | -1 | -1 | -1 |
| 0.60 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
| 1.00 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1.50 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
| 2.50 | 3 | 2 | 3 | 2 | 3 | 2 | 2 |
