1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
|
"""
A NumPy sub-namespace that conforms to the Python array API standard.
This submodule accompanies NEP 47, which proposes its inclusion in NumPy. It
is still considered experimental, and will issue a warning when imported.
This is a proof-of-concept namespace that wraps the corresponding NumPy
functions to give a conforming implementation of the Python array API standard
(https://data-apis.github.io/array-api/latest/). The standard is currently in
an RFC phase and comments on it are both welcome and encouraged. Comments
should be made either at https://github.com/data-apis/array-api or at
https://github.com/data-apis/consortium-feedback/discussions.
NumPy already follows the proposed spec for the most part, so this module
serves mostly as a thin wrapper around it. However, NumPy also implements a
lot of behavior that is not included in the spec, so this serves as a
restricted subset of the API. Only those functions that are part of the spec
are included in this namespace, and all functions are given with the exact
signature given in the spec, including the use of position-only arguments, and
omitting any extra keyword arguments implemented by NumPy but not part of the
spec. The behavior of some functions is also modified from the NumPy behavior
to conform to the standard. Note that the underlying array object itself is
wrapped in a wrapper Array() class, but is otherwise unchanged. This submodule
is implemented in pure Python with no C extensions.
The array API spec is designed as a "minimal API subset" and explicitly allows
libraries to include behaviors not specified by it. But users of this module
that intend to write portable code should be aware that only those behaviors
that are listed in the spec are guaranteed to be implemented across libraries.
Consequently, the NumPy implementation was chosen to be both conforming and
minimal, so that users can use this implementation of the array API namespace
and be sure that behaviors that it defines will be available in conforming
namespaces from other libraries.
A few notes about the current state of this submodule:
- There is a test suite that tests modules against the array API standard at
https://github.com/data-apis/array-api-tests. The test suite is still a work
in progress, but the existing tests pass on this module, with a few
exceptions:
- DLPack support (see https://github.com/data-apis/array-api/pull/106) is
not included here, as it requires a full implementation in NumPy proper
first.
The test suite is not yet complete, and even the tests that exist are not
guaranteed to give a comprehensive coverage of the spec. Therefore, when
reviewing and using this submodule, you should refer to the standard
documents themselves. There are some tests in numpy.array_api.tests, but
they primarily focus on things that are not tested by the official array API
test suite.
- There is a custom array object, numpy.array_api.Array, which is returned by
all functions in this module. All functions in the array API namespace
implicitly assume that they will only receive this object as input. The only
way to create instances of this object is to use one of the array creation
functions. It does not have a public constructor on the object itself. The
object is a small wrapper class around numpy.ndarray. The main purpose of it
is to restrict the namespace of the array object to only those dtypes and
only those methods that are required by the spec, as well as to limit/change
certain behavior that differs in the spec. In particular:
- The array API namespace does not have scalar objects, only 0-D arrays.
Operations on Array that would create a scalar in NumPy create a 0-D
array.
- Indexing: Only a subset of indices supported by NumPy are required by the
spec. The Array object restricts indexing to only allow those types of
indices that are required by the spec. See the docstring of the
numpy.array_api.Array._validate_indices helper function for more
information.
- Type promotion: Some type promotion rules are different in the spec. In
particular, the spec does not have any value-based casting. The spec also
does not require cross-kind casting, like integer -> floating-point. Only
those promotions that are explicitly required by the array API
specification are allowed in this module. See NEP 47 for more info.
- Functions do not automatically call asarray() on their input, and will not
work if the input type is not Array. The exception is array creation
functions, and Python operators on the Array object, which accept Python
scalars of the same type as the array dtype.
- All functions include type annotations, corresponding to those given in the
spec (see _typing.py for definitions of some custom types). These do not
currently fully pass mypy due to some limitations in mypy.
- Dtype objects are just the NumPy dtype objects, e.g., float64 =
np.dtype('float64'). The spec does not require any behavior on these dtype
objects other than that they be accessible by name and be comparable by
equality, but it was considered too much extra complexity to create custom
objects to represent dtypes.
- All places where the implementations in this submodule are known to deviate
from their corresponding functions in NumPy are marked with "# Note:"
comments.
Still TODO in this module are:
- DLPack support for numpy.ndarray is still in progress. See
https://github.com/numpy/numpy/pull/19083.
- The copy=False keyword argument to asarray() is not yet implemented. This
requires support in numpy.asarray() first.
- Some functions are not yet fully tested in the array API test suite, and may
require updates that are not yet known until the tests are written.
- The spec is still in an RFC phase and may still have minor updates, which
will need to be reflected here.
- Complex number support in array API spec is planned but not yet finalized,
as are the fft extension and certain linear algebra functions such as eig
that require complex dtypes.
"""
import warnings
warnings.warn(
"The numpy.array_api submodule is still experimental. See NEP 47.", stacklevel=2
)
__array_api_version__ = "2022.12"
__all__ = ["__array_api_version__"]
from ._constants import e, inf, nan, pi, newaxis
__all__ += ["e", "inf", "nan", "pi"]
from ._creation_functions import (
asarray,
arange,
empty,
empty_like,
eye,
from_dlpack,
full,
full_like,
linspace,
meshgrid,
ones,
ones_like,
tril,
triu,
zeros,
zeros_like,
)
__all__ += [
"asarray",
"arange",
"empty",
"empty_like",
"eye",
"from_dlpack",
"full",
"full_like",
"linspace",
"meshgrid",
"ones",
"ones_like",
"tril",
"triu",
"zeros",
"zeros_like",
]
from ._data_type_functions import (
astype,
broadcast_arrays,
broadcast_to,
can_cast,
finfo,
isdtype,
iinfo,
result_type,
)
__all__ += [
"astype",
"broadcast_arrays",
"broadcast_to",
"can_cast",
"finfo",
"iinfo",
"result_type",
]
from ._dtypes import (
int8,
int16,
int32,
int64,
uint8,
uint16,
uint32,
uint64,
float32,
float64,
complex64,
complex128,
bool,
)
__all__ += [
"int8",
"int16",
"int32",
"int64",
"uint8",
"uint16",
"uint32",
"uint64",
"float32",
"float64",
"bool",
]
from ._elementwise_functions import (
abs,
acos,
acosh,
add,
asin,
asinh,
atan,
atan2,
atanh,
bitwise_and,
bitwise_left_shift,
bitwise_invert,
bitwise_or,
bitwise_right_shift,
bitwise_xor,
ceil,
conj,
cos,
cosh,
divide,
equal,
exp,
expm1,
floor,
floor_divide,
greater,
greater_equal,
imag,
isfinite,
isinf,
isnan,
less,
less_equal,
log,
log1p,
log2,
log10,
logaddexp,
logical_and,
logical_not,
logical_or,
logical_xor,
multiply,
negative,
not_equal,
positive,
pow,
real,
remainder,
round,
sign,
sin,
sinh,
square,
sqrt,
subtract,
tan,
tanh,
trunc,
)
__all__ += [
"abs",
"acos",
"acosh",
"add",
"asin",
"asinh",
"atan",
"atan2",
"atanh",
"bitwise_and",
"bitwise_left_shift",
"bitwise_invert",
"bitwise_or",
"bitwise_right_shift",
"bitwise_xor",
"ceil",
"cos",
"cosh",
"divide",
"equal",
"exp",
"expm1",
"floor",
"floor_divide",
"greater",
"greater_equal",
"isfinite",
"isinf",
"isnan",
"less",
"less_equal",
"log",
"log1p",
"log2",
"log10",
"logaddexp",
"logical_and",
"logical_not",
"logical_or",
"logical_xor",
"multiply",
"negative",
"not_equal",
"positive",
"pow",
"remainder",
"round",
"sign",
"sin",
"sinh",
"square",
"sqrt",
"subtract",
"tan",
"tanh",
"trunc",
]
from ._indexing_functions import take
__all__ += ["take"]
# linalg is an extension in the array API spec, which is a sub-namespace. Only
# a subset of functions in it are imported into the top-level namespace.
from . import linalg
__all__ += ["linalg"]
from .linalg import matmul, tensordot, matrix_transpose, vecdot
__all__ += ["matmul", "tensordot", "matrix_transpose", "vecdot"]
from ._manipulation_functions import (
concat,
expand_dims,
flip,
permute_dims,
reshape,
roll,
squeeze,
stack,
)
__all__ += ["concat", "expand_dims", "flip", "permute_dims", "reshape", "roll", "squeeze", "stack"]
from ._searching_functions import argmax, argmin, nonzero, where
__all__ += ["argmax", "argmin", "nonzero", "where"]
from ._set_functions import unique_all, unique_counts, unique_inverse, unique_values
__all__ += ["unique_all", "unique_counts", "unique_inverse", "unique_values"]
from ._sorting_functions import argsort, sort
__all__ += ["argsort", "sort"]
from ._statistical_functions import max, mean, min, prod, std, sum, var
__all__ += ["max", "mean", "min", "prod", "std", "sum", "var"]
from ._utility_functions import all, any
__all__ += ["all", "any"]
|