While idly surfing the namespace I noticed an odd looking object called Ellipsis
, it does not seem to be or do anything special, but it's a globally available builtin.
After a search I found that it is used in some obscure variant of the slicing syntax by Numpy and Scipy... but almost nothing else.
Was this object added to the language specifically to support Numpy + Scipy? Does Ellipsis have any generic meaning or use at all?
D:\workspace\numpy>python Python 2.4.4 (#71, Oct 18 2006, 08:34:43) [MSC v.1310 32 bit (Intel)] on win32 Type "help", "copyright", "credits" or "license" for more information. >>> Ellipsis Ellipsis
Python has a special built-in singleton object called “Ellipsis”. If we input three dots or the word “Ellipsis” in a Python interactive shell, the results are as following: >>> ... This simple object seems inconspicuous, but if we use it properly, it can make our lives easier.
In NumPy, you can use Ellipsis ( ... ) to omit intermediate dimensions when specifying elements or ranges with [] .
This came up in another question recently. I'll elaborate on my answer from there:
Ellipsis is an object that can appear in slice notation. For example:
myList[1:2, ..., 0]
Its interpretation is purely up to whatever implements the __getitem__
function and sees Ellipsis
objects there, but its main (and intended) use is in the numpy third-party library, which adds a multidimensional array type. Since there are more than one dimensions, slicing becomes more complex than just a start and stop index; it is useful to be able to slice in multiple dimensions as well. E.g., given a 4x4 array, the top left area would be defined by the slice [:2,:2]
:
>>> a array([[ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16]]) >>> a[:2,:2] # top left array([[1, 2], [5, 6]])
Extending this further, Ellipsis is used here to indicate a placeholder for the rest of the array dimensions not specified. Think of it as indicating the full slice [:]
for all the dimensions in the gap it is placed, so for a 3d array, a[...,0]
is the same as a[:,:,0]
and for 4d, a[:,:,:,0]
, similarly, a[0,...,0]
is a[0,:,:,0]
(with however many colons in the middle make up the full number of dimensions in the array).
Interestingly, in python3, the Ellipsis literal (...
) is usable outside the slice syntax, so you can actually write:
>>> ... Ellipsis
Other than the various numeric types, no, I don't think it's used. As far as I'm aware, it was added purely for numpy use and has no core support other than providing the object and corresponding syntax. The object being there didn't require this, but the literal "..." support for slices did.
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