使用ndim对ndarray进行Python-numpy测试

Question

I'm working on a project in Python requiring a lot of numerical array calculations. Unfortunately (or fortunately, depending on your POV), I'm very new to Python, but have been doing MATLAB and Octave programming (APL before that) for years. I'm very used to having every variable automatically typed to a matrix float, and still getting used to checking input types.

In many of my functions, I require the input S to be a numpy.ndarray of size (n,p) , so I have to both test that type(S) is numpy.ndarray and get the values (n,p) = numpy.shape(S) . One potential problem is that the input could be a list/tuple/int/etc..., another problem is that the input could be an array of shape () : S.ndim = 0 . It occurred to me that I could simultaneously test the variable type, fix the S.ndim = 0 problem, then get my dimensions like this:

# first simultaneously test for ndarray and get proper dimensions
try:
    if (S.ndim == 0):
        S = S.copy(); S.shape = (1,1);
    # define dimensions p, and p2
    (p,p2) = numpy.shape(S);
except AttributeError:  # got here because input is not something array-like
    raise AttributeError("blah blah blah");

Though it works, I'm wondering if this is a valid thing to do? The docstring for ndim says

If it is not already an ndarray, a conversion is attempted.

and we surely know that numpy can easily convert an int/tuple/list to an array, so I'm confused why an AttributeError is being raised for these types inputs, when numpy should be doing this

numpy.array(S).ndim;

which should work.

Answer 1

When doing input validation for NumPy code, I always use np.asarray :

>>> np.asarray(np.array([1,2,3]))
array([1, 2, 3])
>>> np.asarray([1,2,3])
array([1, 2, 3])
>>> np.asarray((1,2,3))
array([1, 2, 3])
>>> np.asarray(1)
array(1)
>>> np.asarray(1).shape
()

This function has the nice feature that it only copies data when necessary; if the input is already an ndarray , the data is left in-place (only the type may be changed, because it also gets rid of that pesky np.matrix ).

The docstring for ndim says

That's the docstring for the function np.ndim , not the ndim attribute, which non-NumPy objects don't have. You could use that function, but the effect would be that the data might be copied twice, so instead do:

S = np.asarray(S)
(p, p2) = S.shape

This will raise a ValueError if S.ndim != 2 .

[Final note: you don't need ; in Python if you just follow the indentation rules. In fact, Python programmers eschew the semicolon.]

Answer 2

Given the comments to @larsmans answer, you could try:

if not isinstance(S, np.ndarray):
    raise TypeError("Input not a ndarray")
if S.ndim == 0:
    S = np.reshape(S, (1,1))
(p, p2) = S.shape

First, you check explicitly whether S is a (subclass of) ndarray . Then, you use the np.reshape to copy your data (and reshaping it, of course) if needed. At last, you get the dimension.

Note that in most cases, the np functions will first try to access the corresponding method of a ndarray , then attempt to convert the input to a ndarray (sometimes keeping it a subclass, as in np.asanyarray , sometimes not (as in np.asarray(...) ). In other terms, it's always more efficient to use the method rather than the function: that's why we're using S.shape and not np.shape(S) .

Another point: the np.asarray , np.asanyarray , np.atleast_1D ... are all particular cases of the more generic function np.array . For example, asarray sets the optional copy argument of array to False , asanyarray does the same and sets subok=True , atleast_1D sets ndmin=1 , atleast_2d sets ndmin=2 ... In other terms, it's always easier to use np.array with the appropriate arguments. But as mentioned in some comments, it's a matter of style. Shortcuts can often improve readability, which is always an objective to keep in mind.

In any case, when you use np.array(..., copy=True) , you're explicitly asking for a copy of your initial data, a bit like doing a list([....]) . Even if nothing else changed, your data will be copied. That has the advantages of its drawbacks (as we say in French), you could for example change the order from row-first C to column-first F . But anyway, you get the copy you wanted.

With np.array(input, copy=False) , a new array is always created. It will either point to the same block of memory as input if this latter was already a ndarray (that is, no waste of memory), or will create a new one "from scratch" if input wasn't. The interesting case is of course if input was a ndarray .

Using this new array in a function may or may not change the original input, depending on the function. You have to check the documentation of the function you want to use to see whether it returns a copy or not. The NumPy developers try hard to limit unnecessary copies (following the Python example), but sometimes it can't be avoided. The documentation should tell explicitly what happens, if it doesn't or it's unclear, please mention it.

np.array(...) may raise some exceptions if something goes awry. For example, trying to use a dtype=float with an input like ["STRING", 1] will raise a ValueError . However, I must admit I can't remember which exceptions in all the cases, please edit this post accordingly .

Answer 3

Welcome to stack-overflow. This comes down to almost a style choice, but the most common way I've seen to deal with this kind of situation is to convert the input to an array. Numpy provides some useful tools for this. numpy.asarray has already been mentioned, but here are a few more. numpy.at_least1d is similar to asarray , but reshapes () arrays to be (1,) numpy.at_least2d is the same as above but reshapes 0d and 1d arrays to be 2d, ie (3,) to (1, 3). The reason we convert "array_like" inputs to arrays is partly just because we're lazy, for example sometimes it can be easier to write foo([1, 2, 3]) than foo(numpy.array([1, 2, 3])) , but this is also the design choice made within numpy itself. Notice that the following works:

>>> numpy.mean([1., 2., 3.])
>>> 2.0

In the docs for numpy.mean we can see that x should be "array_like".

 Parameters ---------- a : array_like Array containing numbers whose mean is desired. If `a` is not an array, a conversion is attempted. 

That being said, there are situations when you want to only accept arrays as arguments and not all "array_like" types.