ceiling
ceiling, function
def const dash autodiff pure ceiling(a: number): number
Returns the smallest integer greater than or equal to a.
a: The number to round up.
Example
show table "" with
ceiling(-1.7)
ceiling(-0.5)
ceiling(0.2)
ceiling(1.9)
This outputs the following table:
| ceiling(-1.7) | ceiling(-0.5) | ceiling(0.2) | ceiling(1.9) |
|---|---|---|---|
| -1 | 0 | 1 | 2 |
Remarks
When used inside an Autodiff block, the gradient associated to ceiling() is 1, instead of 0 as the mathematical definition would suggest. The purpose of this irregular behavior is to facilate the design of discrete policies.