Rolling sum with a floor in Athena/Presto

In Athena, I want to calculate a rolling sum, over a window, that can't go below 0. For example, if summing up a column that has values

(1, 2, -1, -2, -1, -2, 1, 2)

I should get

(1, 3, 2, 0, 0, 0, 1, 3)

. Without the floor constraint, it's easy -

(X) OVER (PARTITION BY some_group ORDER BY ordering_col)

. Or if we just wanted to clip all the values at 0 after doing an actual cumulative sum. But I cannot figure out how to use window functions to achieve my desired result in general, though I can make it work for some special cases. Is this even possible?