On Mon, Dec 12, 2022 at 8:46 AM Sebastian Berg
<sebast...@sipsolutions.net> wrote:
>
> On Wed, 2022-12-07 at 14:21 -0700, Aaron Meurer wrote:
> > Hi all.
> >
> > As discussed in today's community meeting, I plan to start working on
> > adding some useful functions to NumPy which are part of the array API
> > standard https://data-apis.org/array-api/latest/index.html.
> >
> > Although these are all things that will be needed for NumPy to be
> > standard compliant, my focus for now at least is going to be on new
> > functionality that is useful for NumPy independent of the standard.
> > The things that I (and possibly others) plan on working on are:
>
>
> Generally, I don't have much opinion on these, most seem fine to me.
> The pure aliases/shortforms, I feel should maybe be discussed
> separately.
>
> * `np.linalg.matrix_transpose` (basically an alias/replacement for
>   `np.linalg.transpose).  (No strong opinion from me, the name is
>    a bit clearer.)
>   Are you proposing to add `np.linalg.matrix_transpose` or also
>   `np.matrix_transpose`?

The spec has the function in both namespaces, so that is the proposal
(my PR https://github.com/numpy/numpy/pull/22767 only adds it to
linalg for now because I wasn't sure the correct way to add it to np).

>
> * `ndarray.mT`, I don't have an opinion on it.  At some point I would
>   have preferred transitioning `ndarray.T` to be this, but...
>
> * Named tuples for tuple results (in linalg, such as `eigh`).
>   I suppose this should be backwards compatible, and thus a simple
>   improvement.
>
> * vecdot: I guess we have vdot, but IIRC that has other semantics
>   so this mirrors `matmul` and avoids multi-signature functions.
>   (It would be good if this is a proper gufunc, probably).
>
> * copy=... argument for reshape.  I like that.  An important step here
>   is to also add a FutureWarning to the `copy=` in `np.array()`.
>
> * `matrix_norm` and `vector_norm` seem OK to me.  I guess only
>   `matrix_norm` would be a proper gufunc unfortunately, while
>   `vector_norm` would be almost the same as norm.
>   In either case `matrix_norm` seems a bit tedious right now and
>   `vector_norm` probably adds functionality since multiple axes
>   are probably valid.

Why can't vector_norm be a gufunc?

Aaron Meurer

>
>
> - Sebastian
>
>
> PS: For the `ndarray.H` proposal, "its complicated" is maybe too fuzzy:
> The complexity is about not being able to return a view for complex
> numbers.  That is `.H` is:
>
> * maybe slightly more expensive than may be expected for an attribute
> * different for real values, which could return a view
> * a potential problem if we would want to return a view in the future
>
> So we need some answer to those worries to have a chance at pushing it
> forward unfortunately.  (Returning something read-only could reduce
> some of those worries?  Overall, they probably cannot be quite removed
> though, just argued to be worthwhile?)
>
>
>
>
> >
> > - A new function matrix_transpose() and corresponding ndarray
> > attribute x.mT. Unlike transpose(), matrix_transpose() will require
> > at
> > least 2 dimensions and only operate on the last two dimensions (it's
> > effectively an alias for swapaxes(x, -1, -2)). This was discussed in
> > the past at https://github.com/numpy/numpy/issues/9530 and
> > https://github.com/numpy/numpy/issues/13797. See
> >  
> > https://data-apis.org/array-api/latest/API_specification/generated/signatures.linear_algebra_functions.matrix_transpose.html
> >
> > - namedtuple outputs for eigh, qr, slogdet and svd. This would only
> > apply to the instances where they currently return a tuple (e.g.,
> > svd(compute_uv=False) would still just return an array). See the
> > corresponding pages at
> > https://data-apis.org/array-api/latest/extensions/index.html for the
> > namedtuple names. These four functions are the ones that are part of
> > the array API spec, but if there are other functions that aren't part
> > of the spec which we'd like to update to namedtuples as well for
> > consistency, I can look into that.
> >
> > - New functions matrix_norm() and vector_norm(), which split off the
> > behavior of norm() between vector and matrix specific
> > functionalities.
> > This is a cleaner API and would allow these functions to be proper
> > gufuncs. See
> > https://data-apis.org/array-api/latest/extensions/generated/signatures.linalg.vector_norm.html
> > and
> > https://data-apis.org/array-api/latest/extensions/generated/signatures.linalg.matrix_norm.html
> > .
> >
> > - New function vecdot() which does a broadcasted 1-D dot product
> > along
> > a specified axis
> >  
> > https://data-apis.org/array-api/latest/API_specification/generated/signatures.linear_algebra_functions.vecdot.html#signatures.linear_algebra_functions.vecdot
> >
> > - New function svdvals(), which is equivalent to
> > svd(compute_uv=False). The idea here is that functions that have
> > different return types depending on keyword arguments are problematic
> > for various reasons (e.g., they are hard to type annotate), so it's
> > cleaner to split these APIs. Functionality-wise there's not much new
> > here, so this is lower priority than the rest.
> >
> > - New function permute_dims(), which works just like transpose() but
> > it has a required axis argument. This is more explicit and can't be
> > confused with doing a matrix transpose, which transpose() does not do
> > for stacked matrices by default.
> >
> > - Adding a copy argument to reshape(). This has already been
> > discussed
> > at https://github.com/numpy/numpy/issues/9818. The main motivation is
> > to replace the current usage of modifying array.shape inplace. (side
> > note: this also still needs to be added to numpy.array_api)
> >
> > You can see the source code of numpy.array_api for an idea of what
> > pure Python implementations of these changes look like, but to be
> > clear, the proposal here is to add these to the main NumPy namespace,
> > not to numpy.array_api.
> >
> > One question I have is which of the new functions proposed should be
> > implemented as pure Python wrappers and which should be implemented
> > in
> > C as ufuncs/gufuncs?
> >
> > Unless there are any objections, I plan to start working on
> > implementing these right away.
> >
> > Aaron Meurer
> > _______________________________________________
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> > Member address: sebast...@sipsolutions.net
> >
>
>
>
>
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