Hi, Naming is hard, for sure. Here is my review. I find the names mostly reasonable, except Round::PositiveInfinity and Round::NegativeInfinity. I will discuss Round::PositiveInfinity.
First: > I've discussed this with Saki. In that case the `HalfEven` and `HalfOdd` > modes would also need to be renamed to `HalfTowardsEven` and `HalfTowardsOdd` For me, the implied preposition in `HalfEven` is “to”, not “towards”. In other words, in the HalfEven mode, a half-number is replaced with the nearest even integer; it is not replaced with a integer *in the direction of* (or: *towards*) an even integer. So, `Round::HalfEven` is fine; but `Round::PositiveInfinity` does not make much sense to me, as the number is not rounded to +∞, but towards +∞. ------- Second, “TowardsPositiveInfinity” is just a mouthful synonym for “Up”. You could just name it: Round::Up At this point, you may invoke either Hamming or Levenshtein and compare it negatively with `Round::HalfUp`. Yes there is a risk a confusion (and I do think that such a name is suboptimal for this reason), but the confusion is not just caused by the short Levenshtein distance. That brings to the most important part of my review. ------- In my opinion, the most important criterion for a good name is: The name must be clear for itself, not just when comparing it with other ones. The problem with `Round::Up` (or `Round::[Towards]PositiveInfinity`), when you first encounter it, is that it is relatively easy to mistakingly assume that it is a “half-*” mode, and to erroneously interpret it as `Round::HalfUp` (or, its synonym `Round::HalfTowardsPositiveInfinity`). But that the converse is false: it is impossible to interpret `Round::HalfUp` as if it were `Round::Up` (or `Round::TowardsPositiveInfinity`), because of the distinctive “Half” token that immediately indicate the right interpretation. So, the best way to disambiguate `Round::Up` from `Round::HalfUp`, is not to replace “Up” with some creative synonym, but to add a distinctive token that plays the role of — and contrasts with — “Half”. I don’t know if the following suggestion makes sense for you, but it is the one I have found: Round::FullUp --------- That said, I think that there is an even better option. I know you will not like it, but bear with me. I sincerely think that the best name is just: Round::Ceiling It is short, distinctive, and standard across the computing industry. Yes, this name is idiosyncratic to English and not used in several other (natural) languages, and if you don’t know English, you will not grasp the metaphor and have to just learn it. However, whatever other name you invent, you *have* to learn “ceil” anyway, because you *will* encounter it sooner or later. Many common (programming) languages, including JavaScript, C++, Java, Python, have a `ceil` function. Even if you manage not to learn any of those and to code in PHP only, you are at risk to stumble on its built-in `ceil(...)` function, or its newly-introduced `bcceil(...)` variant. Therefore, unless we find a name that is *really* good, I suggest to not fall into the NIH syndrome, and not to force users to learn another name *in addition to* “ceiling”. --------- For the same reason, `Round::TowardsZero` (suboptimal, because confusable with `Round::HalfTowardsZero`) could be replaced with: `Round::Truncate`. —Claude