On Wed, 2022-03-16 at 18:14 +0000, Jacob Reinhold wrote:
> Hi Sebastian and Chuck,
> 
> Thanks for the response! (Sorry about the formatting in my original
> post, I wasn't familiar with how to display code in this setting).
> 
> I think keeping + as "logical or" and * as "logical and" on np.bool_
> types is fine, although redundant given that | and & provide this
> functionality and potentially misleading given the different behavior
> from the native Python bool; however, I could see it being too
> painful of a migration within v1.* numpy.
> 
> I think my main point of contention is that division and
> exponentiation aren't well defined operations on np.bool_, at least
> as currently defined, and they should raise errors like subtraction.
> Raising those errors would have caught the problem I ran into when
> trying to taking the mean of multiple ndarrays of dtype=np.bool_. I'm
> not sure what the realistic use case is to have division/exp. return
> a float/int, especially when +/* return np.bool_ and subtraction
> throws an error.

Sorry for the slow followup.  Maybe aiming for that (or at least
attempting it) can be formalized a bit easier.
In principle, I do agree that we should error out in all of these
cases.  Forcing the user to write `dtype=...` if they so wish.

If we keep some of these (i.e. + and *), that change might not be very
controversial (I am not sure).

> 
> Sebastian, you stated:
> "N.B.:  I have changed that logic. "Future" ufuncs are now reversed.
> They will default to an error rather than using the `int8`
> implementation."
> 
> So is the division/exp. issue that I described with np.bool_ solved
> in future releases?
> 

No, unfortunately not.  It would be solved for future (new) ufuncs, but
that doesn't necessary help us much.

There is a bit of a parallel thing going on, due to us trying to get
rid of value-based casting:

    np.uint8([1]) + np.int64(1000)  # should not return a uint16

Once we pull that off, that new design may help.  Until then, it may
make things a bit more confusing.

However, I don't think that should stop us from going ahead.  It should
not be a big hassle in practice.


> Happy to help out on implementation/formalizing a proposal!


The most formal thing would be to draft a (brief!) NEP:

    https://numpy.org/neps/nep-0000.html

but I am not sure I want to ask for that quite yet :).  Maybe the
decision isn't actually big enough to warrant a NEP at all.

I have to think about the implementation (and if we start on a NEP, I
can fill it in).  I suspect it is actually straight forward, so long we
apply it to all ufuncs (even those in SciPy, etc.!).

But there may well be some trickier parts I am missing right now.

> 
> FWIW, I suppose you could change + to XOR. Then np.bool_ would be a
> field (isomorphic to Z/2Z) and then you could reasonably define - and
> /. (Although + would be equivalent to - and * would be equivalent to
> /, which would probably be confusing to most users.)
> 

Yeah, I think we removed `-` because it didn't even follow the Z/2Z
behavior.

Cheers,

Sebastian


> Best,
> Jacob
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