What does the Ellipsis object do?

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 4 × 4 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

EDIT: Ellipsis is also used in the standard library typing module: e.g. Callable[..., int] to indicate a callable that returns an int without specifying the signature, or tuple[str, ...] to indicate a variable-length homogeneous tuple of strings.

In Python 3, you can¹ use the Ellipsis literal ... as a “nop” placeholder for code that hasn't been written yet:

def will_do_something():
    ...

This is not magic; any expression can be used instead of ..., e.g.:

def will_do_something():
    1

(Can't use the word “sanctioned”, but I can say that this use was not outrightly rejected by Guido.)

¹ 'can' not in {'must', 'should'}

As of Python 3.5 and PEP484, the literal ellipsis is used to denote certain types to a static type checker when using the typing module.

Example 1:

Arbitrary-length homogeneous tuples can be expressed using one type and ellipsis, for example Tuple[int, ...]

Example 2:

It is possible to declare the return type of a callable without specifying the call signature by substituting a literal ellipsis (three dots) for the list of arguments:

def partial(func: Callable[..., str], *args) -> Callable[..., str]:
    # Body

Summing up what others have said, as of Python 3, Ellipsis is essentially another singleton constant similar to None, but without a particular intended use. Existing uses include:

In slice syntax to represent the full slice in remaining dimensions

In type hinting to indicate only part of a type(Callable[..., int] or Tuple[str, ...])

In type stub files to indicate there is a default value without specifying it

Possible uses could include:

As a default value for places where None is a valid option

As the content for a function you haven't implemented yet

You can also use the Ellipsis when specifying expected doctest output:

class MyClass(object):
    """Example of a doctest Ellipsis

    >>> thing = MyClass()
    >>> # Match <class '__main__.MyClass'> and <class '%(module).MyClass'>
    >>> type(thing)           # doctest:+ELLIPSIS
    <class '....MyClass'>
    """
    pass

From the Python documentation:

This object is commonly used by slicing (see Slicings). It supports no special operations. There is exactly one ellipsis object, named Ellipsis (a built-in name). type(Ellipsis)() produces the Ellipsis singleton. It is written as Ellipsis or ....

__getitem__ minimal ... example in a custom class

When the magic syntax ... gets passed to [] in a custom class, __getitem__() receives a Ellipsis class object.

The class can then do whatever it wants with this Singleton object.

Example:

class C(object):
    def __getitem__(self, k):
        return k

# Single argument is passed directly.
assert C()[0] == 0

# Multiple indices generate a tuple.
assert C()[0, 1] == (0, 1)

# Slice notation generates a slice object.
assert C()[1:2:3] == slice(1, 2, 3)

# Ellipsis notation generates the Ellipsis class object.
# Ellipsis is a singleton, so we can compare with `is`.
assert C()[...] is Ellipsis

# Everything mixed up.
assert C()[1, 2:3:4, ..., 6] == (1, slice(2,3,4), Ellipsis, 6)

The Python built-in list class chooses to give it the semantic of a range, and any sane usage of it should too of course.

Personally, I'd just stay away from it in my APIs, and create a separate, more explicit method instead.

Tested in Python 3.5.2 and 2.7.12.

For anyone coming to this answer from working in a codebase with heavy Pydantic use: this is also how Pydantic indicates a field that is required but can be set to None, which they refer to as "required optional fields". This is why they end up used in FastAPI, too.

You can use Ellipsis yourself, in custom slicing situations like numpy has done, but it has no usage in any builtin class.

I don't know if it was added specifically for use in numpy, but I certainly haven't seen it used elsewhere.

See also: How do you use the ellipsis slicing syntax in Python?

As mentioned by @noɥʇʎԀʎzɐɹƆ and @phoenix - You can indeed use it in stub files. e.g.

class Foo:
    bar: Any = ...
    def __init__(self, name: str=...) -> None: ...

More information and examples of how to use this ellipsis can be discovered here https://www.python.org/dev/peps/pep-0484/#stub-files

Its intended use shouldn't be only for these 3rd party modules. It isn't mentioned properly in the Python documentation (or maybe I just couldn't find that) but the ellipsis ... is actually used in CPython in at least one place.

It is used for representing infinite data structures in Python. I came upon this notation while playing around with lists.

See this question for more info.

This is equivalent.

l=[..., 1,2,3]
l=[Ellipsis, 1,2,3]

... is a constant defined inside built-in constants.

Ellipsis The same as the ellipsis literal “...”. Special value used mostly in conjunction with extended slicing syntax for user-defined container data types.

In typer ... is used to create required parameters: The Argument class expects a default value, and if you pass the ... it will complain if the user does not pass the particular argument.

You could use None for the same if Ellipsis was not there, but this would remove the opportunity to express that None is the default value, in case that made any sense in your program.

FastAPI makes use of the Ellipsis for creating required Parameters. https://fastapi.tiangolo.com/tutorial/query-params-str-validations/