File size: 11,900 Bytes
dc2106c
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
"""A module with private type-check-only `numpy.ufunc` subclasses.



The signatures of the ufuncs are too varied to reasonably type

with a single class. So instead, `ufunc` has been expanded into

four private subclasses, one for each combination of

`~ufunc.nin` and `~ufunc.nout`.



"""

from typing import (
    Any,
    Generic,
    List,
    Optional,
    overload,
    Tuple,
    TypeVar,
    Union,
)

from numpy import ufunc, _Casting, _OrderKACF
from numpy.typing import NDArray

from ._shape import _ShapeLike
from ._scalars import _ScalarLike_co
from ._array_like import ArrayLike, _ArrayLikeBool_co, _ArrayLikeInt_co
from ._dtype_like import DTypeLike

from typing_extensions import Literal, SupportsIndex

_T = TypeVar("_T")
_2Tuple = Tuple[_T, _T]
_3Tuple = Tuple[_T, _T, _T]
_4Tuple = Tuple[_T, _T, _T, _T]

_NTypes = TypeVar("_NTypes", bound=int)
_IDType = TypeVar("_IDType", bound=Any)
_NameType = TypeVar("_NameType", bound=str)

# NOTE: In reality `extobj` should be a length of list 3 containing an
# int, an int, and a callable, but there's no way to properly express
# non-homogenous lists.
# Use `Any` over `Union` to avoid issues related to lists invariance.

# NOTE: `reduce`, `accumulate`, `reduceat` and `outer` raise a ValueError for
# ufuncs that don't accept two input arguments and return one output argument.
# In such cases the respective methods are simply typed as `None`.

# NOTE: Similarly, `at` won't be defined for ufuncs that return
# multiple outputs; in such cases `at` is typed as `None`

# NOTE: If 2 output types are returned then `out` must be a
# 2-tuple of arrays. Otherwise `None` or a plain array are also acceptable

class _UFunc_Nin1_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType]):
    @property
    def __name__(self) -> _NameType: ...
    @property
    def ntypes(self) -> _NTypes: ...
    @property
    def identity(self) -> _IDType: ...
    @property
    def nin(self) -> Literal[1]: ...
    @property
    def nout(self) -> Literal[1]: ...
    @property
    def nargs(self) -> Literal[2]: ...
    @property
    def signature(self) -> None: ...
    @property
    def reduce(self) -> None: ...
    @property
    def accumulate(self) -> None: ...
    @property
    def reduceat(self) -> None: ...
    @property
    def outer(self) -> None: ...

    @overload
    def __call__(

        self,

        __x1: _ScalarLike_co,

        out: None = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _2Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> Any: ...
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        out: Union[None, NDArray[Any], Tuple[NDArray[Any]]] = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _2Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> NDArray[Any]: ...

    def at(

        self,

        __a: NDArray[Any],

        __indices: _ArrayLikeInt_co,

    ) -> None: ...

class _UFunc_Nin2_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType]):
    @property
    def __name__(self) -> _NameType: ...
    @property
    def ntypes(self) -> _NTypes: ...
    @property
    def identity(self) -> _IDType: ...
    @property
    def nin(self) -> Literal[2]: ...
    @property
    def nout(self) -> Literal[1]: ...
    @property
    def nargs(self) -> Literal[3]: ...
    @property
    def signature(self) -> None: ...

    @overload
    def __call__(

        self,

        __x1: _ScalarLike_co,

        __x2: _ScalarLike_co,

        out: None = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> Any: ...
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        __x2: ArrayLike,

        out: Union[None, NDArray[Any], Tuple[NDArray[Any]]] = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> NDArray[Any]: ...

    def at(

        self,

        __a: NDArray[Any],

        __indices: _ArrayLikeInt_co,

        __b: ArrayLike,

    ) -> None: ...

    def reduce(

        self,

        array: ArrayLike,

        axis: Optional[_ShapeLike] = ...,

        dtype: DTypeLike = ...,

        out: Optional[NDArray[Any]] = ...,

        keepdims: bool = ...,

        initial: Any = ...,

        where: _ArrayLikeBool_co = ...,

    ) -> Any: ...

    def accumulate(

        self,

        array: ArrayLike,

        axis: SupportsIndex = ...,

        dtype: DTypeLike = ...,

        out: Optional[NDArray[Any]] = ...,

    ) -> NDArray[Any]: ...

    def reduceat(

        self,

        array: ArrayLike,

        indices: _ArrayLikeInt_co,

        axis: SupportsIndex = ...,

        dtype: DTypeLike = ...,

        out: Optional[NDArray[Any]] = ...,

    ) -> NDArray[Any]: ...

    # Expand `**kwargs` into explicit keyword-only arguments
    @overload
    def outer(

        self,

        __A: _ScalarLike_co,

        __B: _ScalarLike_co,

        *,

        out: None = ...,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> Any: ...
    @overload
    def outer(  # type: ignore[misc]

        self,

        __A: ArrayLike,

        __B: ArrayLike,

        *,

        out: Union[None, NDArray[Any], Tuple[NDArray[Any]]] = ...,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> NDArray[Any]: ...

class _UFunc_Nin1_Nout2(ufunc, Generic[_NameType, _NTypes, _IDType]):
    @property
    def __name__(self) -> _NameType: ...
    @property
    def ntypes(self) -> _NTypes: ...
    @property
    def identity(self) -> _IDType: ...
    @property
    def nin(self) -> Literal[1]: ...
    @property
    def nout(self) -> Literal[2]: ...
    @property
    def nargs(self) -> Literal[3]: ...
    @property
    def signature(self) -> None: ...
    @property
    def at(self) -> None: ...
    @property
    def reduce(self) -> None: ...
    @property
    def accumulate(self) -> None: ...
    @property
    def reduceat(self) -> None: ...
    @property
    def outer(self) -> None: ...

    @overload
    def __call__(

        self,

        __x1: _ScalarLike_co,

        __out1: None = ...,

        __out2: None = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> _2Tuple[Any]: ...
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        __out1: Optional[NDArray[Any]] = ...,

        __out2: Optional[NDArray[Any]] = ...,

        *,

        out: _2Tuple[NDArray[Any]] = ...,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> _2Tuple[NDArray[Any]]: ...

class _UFunc_Nin2_Nout2(ufunc, Generic[_NameType, _NTypes, _IDType]):
    @property
    def __name__(self) -> _NameType: ...
    @property
    def ntypes(self) -> _NTypes: ...
    @property
    def identity(self) -> _IDType: ...
    @property
    def nin(self) -> Literal[2]: ...
    @property
    def nout(self) -> Literal[2]: ...
    @property
    def nargs(self) -> Literal[4]: ...
    @property
    def signature(self) -> None: ...
    @property
    def at(self) -> None: ...
    @property
    def reduce(self) -> None: ...
    @property
    def accumulate(self) -> None: ...
    @property
    def reduceat(self) -> None: ...
    @property
    def outer(self) -> None: ...

    @overload
    def __call__(

        self,

        __x1: _ScalarLike_co,

        __x2: _ScalarLike_co,

        __out1: None = ...,

        __out2: None = ...,

        *,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _4Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> _2Tuple[Any]: ...
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        __x2: ArrayLike,

        __out1: Optional[NDArray[Any]] = ...,

        __out2: Optional[NDArray[Any]] = ...,

        *,

        out: _2Tuple[NDArray[Any]] = ...,

        where: Optional[_ArrayLikeBool_co] = ...,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _4Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

    ) -> _2Tuple[NDArray[Any]]: ...

class _GUFunc_Nin2_Nout1(ufunc, Generic[_NameType, _NTypes, _IDType]):
    @property
    def __name__(self) -> _NameType: ...
    @property
    def ntypes(self) -> _NTypes: ...
    @property
    def identity(self) -> _IDType: ...
    @property
    def nin(self) -> Literal[2]: ...
    @property
    def nout(self) -> Literal[1]: ...
    @property
    def nargs(self) -> Literal[3]: ...

    # NOTE: In practice the only gufunc in the main name is `matmul`,
    # so we can use its signature here
    @property
    def signature(self) -> Literal["(n?,k),(k,m?)->(n?,m?)"]: ...
    @property
    def reduce(self) -> None: ...
    @property
    def accumulate(self) -> None: ...
    @property
    def reduceat(self) -> None: ...
    @property
    def outer(self) -> None: ...
    @property
    def at(self) -> None: ...

    # Scalar for 1D array-likes; ndarray otherwise
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        __x2: ArrayLike,

        out: None = ...,

        *,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

        axes: List[_2Tuple[SupportsIndex]] = ...,

    ) -> Any: ...
    @overload
    def __call__(

        self,

        __x1: ArrayLike,

        __x2: ArrayLike,

        out: Union[NDArray[Any], Tuple[NDArray[Any]]],

        *,

        casting: _Casting = ...,

        order: _OrderKACF = ...,

        dtype: DTypeLike = ...,

        subok: bool = ...,

        signature: Union[str, _3Tuple[Optional[str]]] = ...,

        extobj: List[Any] = ...,

        axes: List[_2Tuple[SupportsIndex]] = ...,

    ) -> NDArray[Any]: ...