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- from collections.abc import Sequence
- from typing import TypeAlias, TypeVar, Any, overload, Literal
- import numpy as np
- from numpy import number, _OrderKACF
- from numpy._typing import (
- NDArray,
- _ArrayLikeBool_co,
- _ArrayLikeUInt_co,
- _ArrayLikeInt_co,
- _ArrayLikeFloat_co,
- _ArrayLikeComplex_co,
- _ArrayLikeObject_co,
- _DTypeLikeBool,
- _DTypeLikeUInt,
- _DTypeLikeInt,
- _DTypeLikeFloat,
- _DTypeLikeComplex,
- _DTypeLikeComplex_co,
- _DTypeLikeObject,
- )
- __all__ = ["einsum", "einsum_path"]
- _ArrayType = TypeVar(
- "_ArrayType",
- bound=NDArray[np.bool | number[Any]],
- )
- _OptimizeKind: TypeAlias = bool | Literal["greedy", "optimal"] | Sequence[Any] | None
- _CastingSafe: TypeAlias = Literal["no", "equiv", "safe", "same_kind"]
- _CastingUnsafe: TypeAlias = Literal["unsafe"]
- # TODO: Properly handle the `casting`-based combinatorics
- # TODO: We need to evaluate the content `__subscripts` in order
- # to identify whether or an array or scalar is returned. At a cursory
- # glance this seems like something that can quite easily be done with
- # a mypy plugin.
- # Something like `is_scalar = bool(__subscripts.partition("->")[-1])`
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeBool_co,
- out: None = ...,
- dtype: None | _DTypeLikeBool = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeUInt_co,
- out: None = ...,
- dtype: None | _DTypeLikeUInt = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeInt_co,
- out: None = ...,
- dtype: None | _DTypeLikeInt = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeFloat_co,
- out: None = ...,
- dtype: None | _DTypeLikeFloat = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeComplex_co,
- out: None = ...,
- dtype: None | _DTypeLikeComplex = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: Any,
- casting: _CastingUnsafe,
- dtype: None | _DTypeLikeComplex_co = ...,
- out: None = ...,
- order: _OrderKACF = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeComplex_co,
- out: _ArrayType,
- dtype: None | _DTypeLikeComplex_co = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> _ArrayType: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: Any,
- out: _ArrayType,
- casting: _CastingUnsafe,
- dtype: None | _DTypeLikeComplex_co = ...,
- order: _OrderKACF = ...,
- optimize: _OptimizeKind = ...,
- ) -> _ArrayType: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeObject_co,
- out: None = ...,
- dtype: None | _DTypeLikeObject = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: Any,
- casting: _CastingUnsafe,
- dtype: None | _DTypeLikeObject = ...,
- out: None = ...,
- order: _OrderKACF = ...,
- optimize: _OptimizeKind = ...,
- ) -> Any: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeObject_co,
- out: _ArrayType,
- dtype: None | _DTypeLikeObject = ...,
- order: _OrderKACF = ...,
- casting: _CastingSafe = ...,
- optimize: _OptimizeKind = ...,
- ) -> _ArrayType: ...
- @overload
- def einsum(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: Any,
- out: _ArrayType,
- casting: _CastingUnsafe,
- dtype: None | _DTypeLikeObject = ...,
- order: _OrderKACF = ...,
- optimize: _OptimizeKind = ...,
- ) -> _ArrayType: ...
- # NOTE: `einsum_call` is a hidden kwarg unavailable for public use.
- # It is therefore excluded from the signatures below.
- # NOTE: In practice the list consists of a `str` (first element)
- # and a variable number of integer tuples.
- def einsum_path(
- subscripts: str | _ArrayLikeInt_co,
- /,
- *operands: _ArrayLikeComplex_co | _DTypeLikeObject,
- optimize: _OptimizeKind = "greedy",
- einsum_call: Literal[False] = False,
- ) -> tuple[list[Any], str]: ...
|