[Numpy-discussion] ndarray.T2 for 2D transpose
Sebastian Berg
sebastian at sipsolutions.net
Thu Apr 7 13:35:58 EDT 2016
On Do, 2016-04-07 at 13:29 -0400, josef.pktd at gmail.com wrote:
>
>
> On Thu, Apr 7, 2016 at 1:20 PM, Sebastian Berg <
> sebastian at sipsolutions.net> wrote:
> > On Do, 2016-04-07 at 11:56 -0400, josef.pktd at gmail.com wrote:
> > >
> > >
> >
> > <snip>
> >
> > >
> > > I don't think numpy treats 1d arrays as row vectors. numpy has C
> > > -order for axis preference which coincides in many cases with row
> > > vector behavior.
> > >
> >
> > Well, broadcasting rules, are that (n,) should typically behave
> > similar
> > to (1, n). However, for dot/matmul and @ the rules are stretched to
> > mean "the one dimensional thing that gives an inner product" (using
> > matmul since my python has no @ yet):
> >
> > In [12]: a = np.arange(20)
> > In [13]: b = np.arange(20)
> >
> > In [14]: np.matmul(a, b)
> > Out[14]: 2470
> >
> > In [15]: np.matmul(a, b[:, None])
> > Out[15]: array([2470])
> >
> > In [16]: np.matmul(a[None, :], b)
> > Out[16]: array([2470])
> >
> > In [17]: np.matmul(a[None, :], b[:, None])
> > Out[17]: array([[2470]])
> >
> > which indeed gives us a fun thing, because if you look at the last
> > line, the outer product equivalent would be:
> >
> > outer = np.matmul(a[None, :].T, b[:, None].T)
> >
> > Now if I go back to the earlier example:
> >
> > a.T @ b
> >
> > Does not achieve the outer product at all with using T2, since
> >
> > a.T2 @ b.T2 # only correct for a, but not for b
> > a.T2 @ b # b attempts to be "inner", so does not work
> >
> > It almost seems to me that the example is a counter example,
> > because on
> > first sight the `T2` attribute would still leave you with no
> > shorthand
> > for `b`.
> a.T2 @ b.T2.T
>
Actually, better would be:
a.T2 @ b.T2.T2 # Aha?
And true enough, that works, but is it still reasonably easy to find
and understand?
Or is it just frickeling around, the same as you would try `a[:, None]`
before finding `a[None, :]`, maybe worse?
- Sebastian
>
> (T2 as shortcut for creating a[:, None] that's neat, except if a is
> already 2D)
>
> Josef
>
> >
> > I understand the pain of having to write (and parse get into the
> > depth
> > of) things like `arr[:, np.newaxis]` or reshape. I also understand
> > the
> > idea of a shorthand for vectorized matrix operations. That is, an
> > argument for a T2 attribute which errors on 1D arrays (not sure I
> > like
> > it, but that is a different issue).
> >
> > However, it seems that implicit adding of an axis which only works
> > half
> > the time does not help too much? I have to admit I don't write
> > these
> > things too much, but I wonder if it would not help more if we just
> > provided some better information/link to longer examples in the
> > "dimension mismatch" error message?
> >
> > In the end it is quite simple, as Nathaniel, I think I would like
> > to
> > see some example code, where the code obviously looks easier then
> > before? With the `@` operator that was the case, with the
> > "dimension
> > adding logic" I am not so sure, plus it seems it may add other
> > pitfalls.
> >
> > - Sebastian
> >
> >
> >
> >
> > > >>> np.concatenate(([[1,2,3]], [4,5,6]))
> > > Traceback (most recent call last):
> > > File "<pyshell#63>", line 1, in <module>
> > > np.concatenate(([[1,2,3]], [4,5,6]))
> > > ValueError: arrays must have same number of dimensions
> > >
> > > It's not an uncommon exception for me.
> > >
> > > Josef
> > >
> > > >
> > > > _______________________________________________
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