Hi Nathaniel,

On 02.09.19 23:09, Nathaniel Smith wrote:
On Mon, Sep 2, 2019 at 2:15 AM Hameer Abbasi <einstein.edi...@gmail.com> wrote:
Me, Ralf Gommers and Peter Bell (both cc’d) have come up with a proposal on how 
to solve the array creation and duck array problems. The solution is outlined 
in NEP-31, currently in the form of a PR, [1]
Thanks for putting this together! It'd be great to have more
engagement between uarray and numpy.

============================================================

NEP 31 — Context-local and global overrides of the NumPy API

============================================================
Now that I've read this over, my main feedback is that right now it
seems too vague and high-level to give it a fair evaluation? The idea
of a NEP is to lay out a problem and proposed solution in enough
detail that it can be evaluated and critiqued, but this felt to me
more like it was pointing at some other documents for all the details
and then promising that uarray has solutions for all our problems.

This NEP takes a more holistic approach: It assumes that there are parts of the 
API that need to be
overridable, and that these will grow over time. It provides a general 
framework and a mechanism to
avoid a design of a new protocol each time this is required.
The idea of a holistic approach makes me nervous, because I'm not sure
we have holistic problems.

The fact that we're having to design more and more protocols for a lot of very similar things is, to me, an indicator that we do have holistic problems that ought to be solved by a single protocol.

Sometimes a holistic approach is the right
thing; other times it means sweeping the actual problems under the
rug, so things *look* simple and clean but in fact nothing has been
solved, and they just end up biting us later. And from the NEP as
currently written, I can't tell whether this is the good kind of
holistic or the bad kind of holistic.

Now I'm writing vague handwavey things, so let me follow my own advice
and make it more concrete with an example :-).

When Stephan and I were writing NEP 22, the single thing we spent the
most time discussing was the problem of duck-array coercion, and in
particular what to do about existing code that does
np.asarray(duck_array_obj).

The reason this is challenging is that there's a lot of code written
in Cython/C/C++ that calls np.asarray, and then blindly casts the
return value to a PyArray struct and starts accessing the raw memory
fields. If np.asarray starts returning anything besides a real-actual
np.ndarray object, then this code will start corrupting random memory,
leading to a segfault at best.

Stephan felt strongly that this meant that existing np.asarray calls
*must not* ever return anything besides an np.ndarray object, and
therefore we needed to add a new function np.asduckarray(), or maybe
an explicit opt-in flag like np.asarray(..., allow_duck_array=True).

I agreed that this was a problem, but thought we might be able to get
away with an "opt-out" system, where we add an allow_duck_array= flag,
but make it *default* to True, and document that the Cython/C/C++
users who want to work with a raw np.ndarray object should modify
their code to explicitly call np.asarray(obj, allow_duck_array=False).
This would mean that for a while people who tried to pass duck-arrays
into legacy library would get segfaults, but there would be a clear
path for fixing these issues as they were discovered.

Either way, there are also some other details to figure out: how does
this affect the C version of asarray? What about np.asfortranarray –
probably that should default to allow_duck_array=False, even if we did
make np.asarray default to allow_duck_array=True, right?

Now if I understand right, your proposal would be to make it so any
code in any package could arbitrarily change the behavior of
np.asarray for all inputs, e.g. I could just decide that
np.asarray([1, 2, 3]) should return some arbitrary non-np.ndarray
object. It seems like this has a much greater potential for breaking
existing Cython/C/C++ code, and the NEP doesn't currently describe why
this extra power is useful, and it doesn't currently describe how it
plans to mitigate the downsides. (For example, if a caller needs a
real np.ndarray, then is there some way to explicitly request one? The
NEP doesn't say.) Maybe this is all fine and there are solutions to
these issues, but any proposal to address duck array coercion needs to
at least talk about these issues!
I believe I addressed this in a previous email, but the NEP doesn't suggest overriding numpy.asarray or numpy.array. It suggests overriding numpy.overridable.asarray and numpy.overridable.array, so existing code will continue to work as-is and overrides are opt-in rather than forced on you.

The argument about this kind of code could be applied to return values from other functions as well. That said, there is a way to request a NumPy array object explicitly:


with ua.set_backend(np):

    x = np.asarray(...)

And that's just one example... array coercion is a particularly
central and tricky problem, but the numpy API big, and there are
probably other problems like this. For another example, I don't
understand what the NEP is proposing to do about dtypes at all.
Just as there are other kinds of arrays, there may be other kinds of dtypes that are not NumPy dtypes. They cannot be attached to a NumPy array object (as Sebastian pointed out to me in last week's Community meeting), but they can still provide other powerful features.
That's why I think the NEP needs to be fleshed out a lot more before
it will be possible to evaluate fairly.

-n

I just pushed a new version of the NEP to my PR, the full-text of which is below.

============================================================
NEP 31 — Context-local and global overrides of the NumPy API
============================================================

:Author: Hameer Abbasi <habb...@quansight.com>
:Author: Ralf Gommers <rgomm...@quansight.com>
:Author: Peter Bell <peterbel...@live.co.uk>
:Status: Draft
:Type: Standards Track
:Created: 2019-08-22


Abstract
--------

This NEP proposes to make all of NumPy's public API overridable via an
extensible backend mechanism, using a library called ``uarray`` `[1]`_

``uarray`` provides global and context-local overrides, as well as a dispatch
mechanism similar to NEP-18 `[2]`_. First experiences with
``__array_function__`` show that it is necessary to be able to override NumPy
functions that *do not take an array-like argument*, and hence aren't
overridable via ``__array_function__``. The most pressing need is array
creation and coercion functions - see e.g. NEP-30 `[9]`_.

This NEP proposes to allow, in an opt-in fashion, overriding any part of the NumPy API. It is intended as a comprehensive resolution to NEP-22 `[3]`_, and
obviates the need to add an ever-growing list of new protocols for each new
type of function or object that needs to become overridable.

Motivation and Scope
--------------------

The motivation behind ``uarray`` is manyfold: First, there have been several
attempts to allow dispatch of parts of the NumPy API, including (most
prominently), the ``__array_ufunc__`` protocol in NEP-13 `[4]`_, and the
``__array_function__`` protocol in NEP-18 `[2]`_, but this has shown the need for further protocols to be developed, including a protocol for coercion (see `[5]`_). The reasons these overrides are needed have been extensively discussed in the references, and this NEP will not attempt to go into the details of why
these are needed. Another pain point requiring yet another protocol is the
duck-array protocol (see `[9]`_).

This NEP takes a more holistic approach: It assumes that there are parts of
the API that need to be overridable, and that these will grow over time. It
provides a general framework and a mechanism to avoid a design of a new
protocol each time this is required.

This NEP proposes the following: That ``unumpy`` `[8]`_ becomes the
recommended override mechanism for the parts of the NumPy API not yet covered
by ``__array_function__`` or ``__array_ufunc__``, and that ``uarray`` is
vendored into a new namespace within NumPy to give users and downstream
dependencies access to these overrides.  This vendoring mechanism is similar to what SciPy decided to do for making ``scipy.fft`` overridable (see `[10]`_).


Detailed description
--------------------

**Note:** *This section will not attempt to go into too much detail about
``uarray``, that is the purpose of the ``uarray`` documentation.* `[1]`_
*However, the NumPy community will have input into the design of
``uarray``, via the issue tracker.*

``uarray`` Primer
^^^^^^^^^^^^^^^^^

Defining backends
~~~~~~~~~~~~~~~~~

``uarray`` consists of two main protocols: ``__ua_convert__`` and
``__ua_function__``, called in that order, along with ``__ua_domain__``, which is a string defining the domain of the backend. If any of the protocols return
``NotImplemented``, we fall back to the next backend.

``__ua_convert__`` is for conversion and coercion. It has the signature
``(dispatchables, coerce)``, where ``dispatchables`` is an iterable of
``ua.Dispatchable`` objects and ``coerce`` is a boolean indicating whether or not to force the conversion. ``ua.Dispatchable`` is a simple class consisting
of three simple values: ``type``, ``value``, and ``coercible``.
``__ua_convert__`` returns an iterable of the converted values, or
``NotImplemented`` in the case of failure. Returning ``NotImplemented``
here will cause ``uarray`` to move to the next available backend.

``__ua_function__`` has the signature ``(func, args, kwargs)`` and defines
the actual implementation of the function. It recieves the function and its
arguments. Returning ``NotImplemented`` will cause a move to the default
implementation of the function if one exists, and failing that, the next
backend.

If all backends are exhausted, a ``ua.BackendNotImplementedError`` is raised.

Backends can be registered for permanent use if required.

Defining overridable multimethods
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To define an overridable function (a multimethod), one needs a few things:

1. A dispatcher that returns an iterable of ``ua.Dispatchable`` objects.
2. A reverse dispatcher that replaces dispatchable values with the supplied
   ones.
3. A domain.
4. Optionally, a default implementation, which can be provided in terms of
   other multimethods.

As an example, consider the following::

    import uarray as ua

    def full_argreplacer(args, kwargs, dispatchables):
        def full(shape, fill_value, dtype=None, order='C'):
            return (shape, fill_value), dict(
                dtype=dispatchables[0],
                order=order
            )

        return full(*args, **kwargs)

    @ua.create_multimethod(full_argreplacer, domain="numpy")
    def full(shape, fill_value, dtype=None, order='C'):
        return (ua.Dispatchable(dtype, np.dtype),)

A large set of examples can be found in the ``unumpy`` repository, `[8]`_.
This simple act of overriding callables allows us to override:

* Methods
* Properties, via ``fget`` and ``fset``
* Entire objects, via ``__get__``.

Using overrides
~~~~~~~~~~~~~~~

The way we propose the overrides will be used by end users is::

    import numpy.overridable as np
    with np.set_backend(backend):
        x = np.asarray(my_array, dtype=dtype)

And a library that implements a NumPy-like API will use it in the following
manner (as an example)::

    import numpy.overridable as np
    _ua_implementations = {}

    __ua_domain__ = "numpy"

    def __ua_function__(func, args, kwargs):
        fn = _ua_implementations.get(func, None)
        return fn(*args, **kwargs) if fn is not None else NotImplemented

    def implements(ua_func):
        def inner(func):
            _ua_implementations[ua_func] = func
            return func

        return inner

    @implements(np.asarray)
    def asarray(a, dtype=None, order=None):
        # Code here
        # Either this method or __ua_convert__ must
        # return NotImplemented for unsupported types,
        # Or they shouldn't be marked as dispatchable.

    # Provides a default implementation for ones and zeros.
    @implements(np.full)
    def full(shape, fill_value, dtype=None, order='C'):
        # Code here

The only change this NEP proposes at its acceptance, is to make ``unumpy`` the officially recommended way to override NumPy. ``unumpy`` will remain a separate repository/package (which we propose to vendor to avoid a hard dependency, and use the separate ``unumpy`` package only if it is installed) rather than depend
on for the time being), and will be developed primarily with the input of
duck-array authors and secondarily, custom dtype authors, via the usual
GitHub workflow. There are a few reasons for this:

* Faster iteration in the case of bugs or issues.
* Faster design changes, in the case of needed functionality.
* ``unumpy`` will work with older versions of NumPy as well.
* The user and library author opt-in to the override process,
  rather than breakages happening when it is least expected.
  In simple terms, bugs in ``unumpy`` mean that ``numpy`` remains
  unaffected.

Duck-array coercion
~~~~~~~~~~~~~~~~~~~

There are inherent problems about returning objects that are not NumPy arrays from ``numpy.array`` or ``numpy.asarray``, particularly in the context of C/C++ or Cython code that may get an object with a different memory layout than the one it expects. However, we believe this problem may apply not only to these
two functions but all functions that return NumPy arrays. For this reason,
overrides are opt-in for the user, by using the submodule ``numpy.overridable`` rather than ``numpy``. NumPy will continue to work unaffected by anything in
``numpy.overridable``.

If the user wishes to obtain a NumPy array, there are two ways of doing it:

1. Use ``numpy.asarray`` (the non-overridable version).
2. Use ``numpy.overridable.asarray`` with the NumPy backend set and coercion
   enabled::

    import numpy.overridable as np

    with ua.set_backend(np):
        x = np.asarray(...)

Advantanges of ``unumpy`` over other solutions
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

``unumpy`` offers a number of advantanges over the approach of defining a new protocol for every problem encountered: Whenever there is something requiring
an override, ``unumpy`` will be able to offer a unified API with very minor
changes. For example:

* ``ufunc`` objects can be overridden via their ``__call__``, ``reduce`` and
  other methods.
* Other functions can be overridden in a similar fashion.
* ``np.asduckarray`` goes away, and becomes ``np.asarray`` with a backend set.
* The same holds for array creation functions such as ``np.zeros``,
  ``np.empty`` and so on.

This also holds for the future: Making something overridable would require only
minor changes to ``unumpy``.

Another promise ``unumpy`` holds is one of default implementations. Default
implementations can be provided for any multimethod, in terms of others. This allows one to override a large part of the NumPy API by defining only a small
part of it. This is to ease the creation of new duck-arrays, by providing
default implementations of many functions that can be easily expressed in
terms of others, as well as a repository of utility functions that help in the
implementation of duck-arrays that most duck-arrays would require.

The last benefit is a clear way to coerce to a given backend (via the
``coerce`` keyword in ``ua.set_backend``), and a protocol
for coercing not only arrays, but also ``dtype`` objects and ``ufunc`` objects with similar ones from other libraries. This is due to the existence of actual, third party dtype packages, and their desire to blend into the NumPy ecosystem (see `[6]`_). This is a separate issue compared to the C-level dtype redesign proposed in `[7]`_, it's about allowing third-party dtype implementations to work with NumPy, much like third-party array implementations. These can provide features such as, for example, units, jagged arrays or other such features that
are outside the scope of NumPy.

Mixing NumPy and ``unumpy`` in the same file
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Normally, one would only want to import only one of ``unumpy`` or ``numpy``, you would import it as ``np`` for familiarity. However, there may be situations where one wishes to mix NumPy and the overrides, and there are a few ways to do
this, depending on the user's style::

    import numpy.overridable as unumpy
    import numpy as np

or::

    import numpy as np

    # Use unumpy via np.overridable

Related Work
------------

Previous override mechanisms
^^^^^^^^^^^^^^^^^^^^^^^^^^^^

* NEP-18, the ``__array_function__`` protocol. `[2]`_
* NEP-13, the ``__array_ufunc__`` protocol. `[3]`_

Existing NumPy-like array implementations
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

* Dask: https://dask.org/
* CuPy: https://cupy.chainer.org/
* PyData/Sparse: https://sparse.pydata.org/
* Xnd: https://xnd.readthedocs.io/
* Astropy's Quantity: https://docs.astropy.org/en/stable/units/

Existing and potential consumers of alternative arrays
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

* Dask: https://dask.org/
* scikit-learn: https://scikit-learn.org/
* xarray: https://xarray.pydata.org/
* TensorLy: http://tensorly.org/

Existing alternate dtype implementations
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

* ``ndtypes``: https://ndtypes.readthedocs.io/en/latest/
* Datashape: https://datashape.readthedocs.io
* Plum: https://plum-py.readthedocs.io/

Implementation
--------------

The implementation of this NEP will require the following steps:

* Implementation of ``uarray`` multimethods corresponding to the
  NumPy API, including classes for overriding ``dtype``, ``ufunc``
  and ``array`` objects, in the ``unumpy`` repository.
* Moving backends from ``unumpy`` into the respective array libraries.

Backward compatibility
----------------------

There are no backward incompatible changes proposed in this NEP.


Alternatives
------------

The current alternative to this problem is NEP-30 plus adding more protocols
(not yet specified) in addition to it.  Even then, some parts of the NumPy
API will remain non-overridable, so it's a partial alternative.

The main alternative to vendoring ``unumpy`` is to simply move it into NumPy completely and not distribute it as a separate package. This would also achieve the proposed goals, however we prefer to keep it a separate package for now,
for reasons already stated above.


Discussion
----------

* ``uarray`` blogpost: https://labs.quansight.org/blog/2019/07/uarray-update-api-changes-overhead-and-comparison-to-__array_function__/ * The discussion section of NEP-18: https://numpy.org/neps/nep-0018-array-function-protocol.html#discussion
* NEP-22: https://numpy.org/neps/nep-0022-ndarray-duck-typing-overview.html
* Dask issue #4462: https://github.com/dask/dask/issues/4462
* PR #13046: https://github.com/numpy/numpy/pull/13046
* Dask issue #4883: https://github.com/dask/dask/issues/4883
* Issue #13831: https://github.com/numpy/numpy/issues/13831
* Discussion PR 1: https://github.com/hameerabbasi/numpy/pull/3
* Discussion PR 2: https://github.com/hameerabbasi/numpy/pull/4


References and Footnotes
------------------------

.. _[1]:

[1] uarray, A general dispatch mechanism for Python: https://uarray.readthedocs.io

.. _[2]:

[2] NEP 18 — A dispatch mechanism for NumPy’s high level array functions: https://numpy.org/neps/nep-0018-array-function-protocol.html

.. _[3]:

[3] NEP 22 — Duck typing for NumPy arrays – high level overview: https://numpy.org/neps/nep-0022-ndarray-duck-typing-overview.html

.. _[4]:

[4] NEP 13 — A Mechanism for Overriding Ufuncs: https://numpy.org/neps/nep-0013-ufunc-overrides.html

.. _[5]:

[5] Reply to Adding to the non-dispatched implementation of NumPy methods: http://numpy-discussion.10968.n7.nabble.com/Adding-to-the-non-dispatched-implementation-of-NumPy-methods-tp46816p46874.html

.. _[6]:

[6] Custom Dtype/Units discussion: http://numpy-discussion.10968.n7.nabble.com/Custom-Dtype-Units-discussion-td43262.html

.. _[7]:

[7] The epic dtype cleanup plan: https://github.com/numpy/numpy/issues/2899

.. _[8]:

[8] unumpy: NumPy, but implementation-independent: https://unumpy.readthedocs.io

.. _[9]:

[9] NEP 30 — Duck Typing for NumPy Arrays - Implementation: https://www.numpy.org/neps/nep-0030-duck-array-protocol.html

.. _[10]:

[10] http://scipy.github.io/devdocs/fft.html#backend-control


Copyright
---------

This document has been placed in the public domain.
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