Predefined Functions – round
| Function name: | round – Round input value |
| Synopsis: | round(x) |
| Input data type | Output data type |
|---|---|
| real | real |
| complex | complex |
| quaternion | quaternion |
Description:
This function performs a normal round operation to the nearest integer. If the fractional part is 0.5, then the round function rounds up. That means, 3.5 gets rounded to 4, -3.5 gets rounded to -3.
rounding of x is just same as truncating any fractional part from (x+0.5).
Thus round(x) can be rewritten as trunc(x+0.5).
If the argument is complex, the round operation is performed component wise, i.e.:
round(x+iy) = round(x) + i* round(y)