File talk:Comparison rounding graphs SMIL.svg
No mistakes in the solid and hollow dots
[edit]This composite graph might appear potentially incorrect at first, because round-with-tie-UP has solid dots on the LEFT, while round-UP has solid dots on the RIGHT. But the "reversals" are correct and necessary.
Round-with-tie-UP needs round-DOWN, and round-with-tie-DOWN needs round-UP. (See w:Floor and ceiling functions#Rounding.)
- ... or ...
- ... or ...
We can write the expressions without the "reversals", but only at the cost of two negations each:
- ... or ...
- ... or ...
We can write the expressions without addition or subtraction, but only at the cost of doubling and halving and using both ceil and floor:
- ... or ...
- ... or ...
There might be a better way to present it all, such reordering the entries or using different colors, but the plotted lines are correct. -A876 (talk) 09:39, 28 December 2018 (UTC)