How to filter with arrays containing missing values#

import awkward as ak
import numpy as np

Indexing with missing values#

In Building an awkward index, we looked building arrays of integers to perform awkward indexing using ak.argmin() and ak.argmax(). In particular, the keepdims argument of ak.argmin() and ak.argmax() is very useful for creating arrays that can be used to index into the original array. However, reducers such as ak.argmax() behave differently when they are asked to operate upon empty lists.

Let’s first create an array that contains empty sublists:

array = ak.Array(
    [
        [],
        [10, 3, 2, 9],
        [4, 5, 5, 12, 6],
        [],
        [8, 9, -1],
    ]
)
array

[[],
 [10, 3, 2, 9],
 [4, 5, 5, 12, 6],
 [],
 [8, 9, -1]]
---------------------
type: 5 * var * int64

Awkward reducers accept a mask_identity argument, which changes the ak.Array.type and the values of the result:

ak.argmax(array, keepdims=True, axis=-1, mask_identity=False)

[[-1],
 [0],
 [3],
 [-1],
 [1]]
-------------------
type: 5 * 1 * int64

ak.argmax(array, keepdims=True, axis=-1, mask_identity=True)

[[None],
 [0],
 [3],
 [None],
 [1]]
--------------------
type: 5 * 1 * ?int64

Setting mask_identity=True yields the identity value for the reducer instead of None when reducing empty lists. From the above examples of ak.argmax(), we can see that the identity for the ak.argmax() is -1: What happens if we try and use the array produced with mask_identity=False to index into array?

As discussed in Indexing with argmin and argmax, we first need to convert at least one dimension to a ragged dimension

index = ak.from_regular(
    ak.argmax(array, keepdims=True, axis=-1, mask_identity=False)
)

Now, if we try and index into array with index, it will raise an exception

array[index]

---------------------------------------------------------------------------
IndexError                                Traceback (most recent call last)
Cell In[6], line 1
----> 1 array[index]

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/highlevel.py:1103, in Array.__getitem__(self, where)
where = _normalize_named_slice(named_axis, where, ndim)
NamedAxis.mapping = named_axis
-> 1103 indexed_layout = prepare_layout(self._layout._getitem(where, NamedAxis))
if NamedAxis.mapping:
   return ak.operations.ak_with_named_axis._impl(
       indexed_layout,
       named_axis=NamedAxis.mapping,
   (...)
       attrs=self._attrs,
   )

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/content.py:657, in Content._getitem(self, where, named_axis)
       return out._getitem_at(0)
elif isinstance(where, ak.highlevel.Array):
--> 657     return self._getitem(where.layout, named_axis)
# Convert between nplikes of different backends
elif (
   isinstance(where, ak.contents.Content)
   and where.backend is not self._backend
):

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/content.py:734, in Content._getitem(self, where, named_axis)
   return where.to_NumpyArray(np.int64)
elif isinstance(where, Content):
--> 734     return self._getitem((where,), named_axis)
elif is_sized_iterable(where):
   # Do we have an array
   nplike = nplike_of_obj(where, default=None)

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/content.py:649, in Content._getitem(self, where, named_axis)
named_axis.mapping = _named_axis
next = ak.contents.RegularArray(
   this,
   this.length,
   1,
   parameters=None,
)
--> 649 out = next._getitem_next(nextwhere[0], nextwhere[1:], None)
if out.length is not unknown_length and out.length == 0:
   return out._getitem_nothing()

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/regulararray.py:706, in RegularArray._getitem_next(self, head, tail, advanced)
   assert head.offsets.nplike is index_nplike
   self._maybe_index_error(
       self._backend[
           "awkward_RegularArray_getitem_jagged_expand",
   (...)
       slicer=head,
   )
--> 706     down = self._content._getitem_next_jagged(
       multistarts, multistops, head._content, tail
   )
   return RegularArray(
       down, headlength, self._length, parameters=self._parameters
   )
elif isinstance(head, ak.contents.IndexedOptionArray):

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/listoffsetarray.py:432, in ListOffsetArray._getitem_next_jagged(self, slicestarts, slicestops, slicecontent, tail)
def _getitem_next_jagged(
   self, slicestarts: Index, slicestops: Index, slicecontent: Content, tail
) -> Content:
   out = ak.contents.ListArray(
       self.starts, self.stops, self._content, parameters=self._parameters
   )
--> 432     return out._getitem_next_jagged(slicestarts, slicestops, slicecontent, tail)

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/listarray.py:554, in ListArray._getitem_next_jagged(self, slicestarts, slicestops, slicecontent, tail)
nextcarry = ak.index.Index64.empty(carrylen, self._backend.index_nplike)
assert (
   outoffsets.nplike is self._backend.index_nplike
   and nextcarry.nplike is self._backend.index_nplike
   (...)
   and self._stops.nplike is self._backend.index_nplike
)
--> 554 self._maybe_index_error(
   self._backend[
       "awkward_ListArray_getitem_jagged_apply",
       outoffsets.dtype.type,
       nextcarry.dtype.type,
       slicestarts.dtype.type,
       slicestops.dtype.type,
       sliceindex.dtype.type,
       self._starts.dtype.type,
       self._stops.dtype.type,
   ](
       outoffsets.data,
       nextcarry.data,
       slicestarts.data,
       slicestops.data,
       slicestarts.length,
       sliceindex.data,
       sliceindex.length,
       self._starts.data,
       self._stops.data,
       self._content.length,
   ),
   slicer=ak.contents.ListArray(slicestarts, slicestops, slicecontent),
)
nextcontent = self._content._carry(nextcarry, True)
nexthead, nexttail = ak._slicing.head_tail(tail)

File ~/micromamba/envs/awkward-docs/lib/python3.11/site-packages/awkward/contents/content.py:295, in Content._maybe_index_error(self, error, slicer)
else:
   message = self._backend.format_kernel_error(error)
--> 295     raise ak._errors.index_error(self, slicer, message)

IndexError: cannot slice ListArray (of length 5) with [[-1], [0], [3], [-1], [1]]: index out of range while attempting to get index -1 (in compiled code: https://github.com/scikit-hep/awkward/blob/awkward-cpp-43/awkward-cpp/src/cpu-kernels/awkward_ListArray_getitem_jagged_apply.cpp#L43)

This error occurred while attempting to slice

    <Array [[], [10, 3, 2, 9], ..., [], [8, 9, -1]] type='5 * var * int64'>

with

    <Array [[-1], [0], [3], [-1], [1]] type='5 * var * int64'>

From the error message, it is clear that for some sublist(s) the index -1 is out of range. This makes sense; some of our sublists are empty, meaning that there is no valid integer to index into them.

Now let’s look at the result of indexing with mask_identity=True.

index = ak.argmax(array, keepdims=True, axis=-1, mask_identity=True)

Because it contains an option type, index already satisfies rule (2) in Building an awkward index, and we do not need to convert it to a ragged array. We can see that this index succeeds:

array[index]

[[None],
 [10],
 [12],
 [None],
 [9]]
----------------------
type: 5 * var * ?int64

Here, the missing values in the index array correspond to missing values in the output array.

Indexing with missing sublists#

Ragged indexing also supports using None in place of empty sublists within an index. For example, given the following array

array = ak.Array(
    [
        [10, 3, 2, 9],
        [4, 5, 5, 12, 6],
        [],
        [8, 9, -1],
    ]
)
array

[[10, 3, 2, 9],
 [4, 5, 5, 12, 6],
 [],
 [8, 9, -1]]
---------------------
type: 4 * var * int64

let’s use build a ragged index to pull out some particular values. Rather than using empty lists, we can use None to mask out sublists that we don’t care about:

array[
    [
        [0, 1],
        None,
        [],
        [2],
    ],
]

[[10, 3],
 None,
 [],
 [-1]]
-----------------------------
type: 4 * option[var * int64]

If we compare this with simply providing an empty sublist,

array[
    [
        [0, 1],
        [],
        [],
        [2],
    ],
]

[[10, 3],
 [],
 [],
 [-1]]
---------------------
type: 4 * var * int64

we can see that the None value introduces an option-type into the final result. None values can be used at any level in the index array to introduce an option-type at that depth in the result.