On Sun, May 24, 2020 at 11:17 PM Tim Peters <tim.pet...@gmail.com> wrote:

> [Guido]
> >> I’ve never been able to remember whether (f@g)(x) means f(g(x)) or
> g(f(x)). That pretty much kills the idea for me.
>
> [David Mertz]
> > Well, it means whichever one the designers decide it should mean. But
> obviously it's a thing to remember,
> > and one that could sensibly go the other way.
> >
> > On the other hand, when I showed an example using filter() a couple days
> ago, I had to try it to remember whether
> > the predicate or the iterable came first. Lots of such decisions are
> pretty arbitrary.
>
> Best I know, f@g applies g first in every language that implements a
> composition operator, and in mathematics. While that may be arbitrary,
> it's easy to remember:  (f@g)(x)  "looks a heck of a lot more like"
> f(g(x)) than g(f(x)) because the former leaves the identifiers in the
> same order.
>

I personally find it easy to remember, but I can imagine (perhaps
incorrectly) how others may find it difficult. There's a 'wrong' rule
that's equally easy to remember: f@g means call f then call g. In fact,
when you think of it like that, you might not even notice that this means
g(f(x)). So even if you know that f@g means f(g(x)), you can still mess
this up by not thinking it through.

This is similar to when you have a list of decorators. Lots of people
expect them to be called top to bottom (
https://stackoverflow.com/questions/27342149/decorator-execution-order) and
it's not easy to make the real order feel more intuitive.
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