Testing Python results is often as straightforward as assert result == expected, especially with builtin types. But that doesn’t work with NumPy or Pandas data structures because using == with those doesn’t return True or False. Instead, == results in new arrays filled with boolean values. This is useful for boolean indexing, but leads to this error when testing:

In [2]: a = np.arange(10)

In [3]: b = np.arange(10)

In [4]: assert a == b
------------------------------------------------
ValueError     Traceback (most recent call last)
<ipython-input-4-6bf76ad3480a> in <module>()
----> 1 assert a == b

ValueError: The truth value of an array with more than one element is ambiguous.
            Use a.any() or a.all()

You can check whether all the elements in two arrays are equal using the .all() method:

In [5]: (a == b).all()
Out[5]: True

But that errs if the arrays are different sizes/shapes, and the result is an uninformative True or False when they are the same size. Luckily, NumPy has this situation covered.

Library Versions

For reference, these are the versions of NumPy and Pandas I’m currently using:

In [43]: np.version.version
Out[43]: '1.9.0'

In [44]: pd.version.version
Out[44]: '0.14.1'

Testing with NumPy

NumPy has an entire module devoted to testing support. I like to import it via import numpy.testing as npt in my tests. I’ll be focusing here on two functions, assert_array_equal and assert_allclose.

assert_array_equal

assert_array_equal raises an AssertionError when to arrays are not exactly equal. It can take anything array-like as inputs, including lists.

In [10]: npt.assert_array_equal([1, 2, 3], [1, 2, 3])

In [11]: npt.assert_array_equal([1, 2, 3], [1, 2, 3, 4, 5])
----------------------------------------------------
AssertionError     Traceback (most recent call last)
<truncated>

AssertionError:
Arrays are not equal

(shapes (3,), (5,) mismatch)
 x: array([1, 2, 3])
 y: array([1, 2, 3, 4, 5])

In [12]: npt.assert_array_equal([1, 2, 3], [99, 2, 3])
----------------------------------------------------
AssertionError     Traceback (most recent call last)
<truncated>

AssertionError:
Arrays are not equal

(mismatch 33.33333333333333%)
 x: array([1, 2, 3])
 y: array([99,  2,  3])

The examples show how you get somewhat descriptive output when the comparisons fail, including if the shapes are mismatched and what percentage of elements differ between the two arrays.

Similar functionality is available in the array_equal function, which returns True or False instead of raising an exception.

assert_allclose

assert_array_equal checks for exact equality. That’s fine for integer and boolean values, but often fails with floating point values because of very slight differences in the results of values calculated different ways or on different computers. For comparing floating point values I use assert_allclose.

In [17]: npt.assert_array_equal([np.pi], [np.sqrt(np.pi) ** 2])
-------------------------------------------------------
AssertionError        Traceback (most recent call last)
<truncated>

AssertionError:
Arrays are not equal

(mismatch 100.0%)
 x: array([ 3.141593])
 y: array([ 3.141593])

In [18]: npt.assert_allclose([np.pi], [np.sqrt(np.pi) ** 2])

assert_allclose takes atol and rtol arguments for specifying the absolute and relative tolerance of the comparison. For the most part I leave these at their defaults: atol=0 and rtol=1e-07. That’s a small enough tolerance that I’m confident the numbers are quite close, but large enough to let floating point noise go through. Sometimes, though, it’s useful to choose custom tolerances. For example, I was once writing tests based on numbers I copied out of a paper. The numbers were provided to four decimal places so in my tests I used npt.assert_allclose(result, expected, atol=0.0001). Choosing appropriate tolerances for testing with assert_allclose can be tricky depending how accurate you expect your code to be. Unfortunately, I don’t have any great advise on that.

assert_allclose also has a non-assertion version: allclose.

Notes

One very handy thing about assert_array_equal (and its scalar friendly cousin assert_equal) is that it handles values like nan intelligently. Normally nan compared to anything else, even nan, results in False. That’s the official, expected behavior, but it does make testing harder. assert_array_equal handles this for you.

In [29]: (np.array([np.nan, 2, 3]) == np.array([np.nan, 2, 3])).all()
Out[29]: False

In [30]: npt.assert_array_equal([np.nan, 2, 3], [np.nan, 2, 3])

Note that array_equal and equal behave in the official manner and will always return False for comparisons to nan.

Testing with Pandas

Pandas also has a testing module, but it is apparently meant more for internal testing of Pandas itself than for Pandas users. There is no documentation page for it, but it’s still available and I use it in testing. I import it via import pandas.util.testing as pdt.

The three main things I use are assert_frame_equal, assert_series_equal, and assert_index_equal. assert_frame_equal and assert_series_equal take arguments that let you control whether the comparisons are exact or approximate, and whether to compare types in addition to value equality. By default they use an allclose-like comparison.

In [39]: s1 = pd.Series([1, 2, 3], dtype='int')

In [40]: s2 = pd.Series([1, 2, 3], dtype='float')

In [41]: pdt.assert_series_equal(s1, s2)
-------------------------------------------------------
AssertionError        Traceback (most recent call last)
<truncated>

AssertionError: attr is not equal [dtype]: dtype('int64') != dtype('float64')

In [42]: pdt.assert_series_equal(s1, s2, check_dtype=False)

assert_frame_equal is sensitive to the order of columns and rows in the tables. I’ve found this is not always what I want, sometimes it’s fine if ordering changes as long as the same column names and index labels are in both tables. I’ve made my own assert_frames_equal function for testing that case.

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Just because you’re using complex data containers like arrays and DataFrames in your code doesn’t mean you can’t test it. NumPy and Pandas are themselves heavily tested and you can test your own code using the same utilities the NumPy and Pandas developers use. Happy testing!