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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])` | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeBool_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeBool = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeUInt_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeUInt = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeInt_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeInt = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeFloat_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeFloat = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeComplex_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeComplex = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: Any, | |
| casting: _CastingUnsafe, | |
| dtype: None | _DTypeLikeComplex_co = ..., | |
| out: None = ..., | |
| order: _OrderKACF = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeComplex_co, | |
| out: _ArrayType, | |
| dtype: None | _DTypeLikeComplex_co = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> _ArrayType: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: Any, | |
| out: _ArrayType, | |
| casting: _CastingUnsafe, | |
| dtype: None | _DTypeLikeComplex_co = ..., | |
| order: _OrderKACF = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> _ArrayType: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeObject_co, | |
| out: None = ..., | |
| dtype: None | _DTypeLikeObject = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: Any, | |
| casting: _CastingUnsafe, | |
| dtype: None | _DTypeLikeObject = ..., | |
| out: None = ..., | |
| order: _OrderKACF = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> Any: ... | |
| def einsum( | |
| subscripts: str | _ArrayLikeInt_co, | |
| /, | |
| *operands: _ArrayLikeObject_co, | |
| out: _ArrayType, | |
| dtype: None | _DTypeLikeObject = ..., | |
| order: _OrderKACF = ..., | |
| casting: _CastingSafe = ..., | |
| optimize: _OptimizeKind = ..., | |
| ) -> _ArrayType: ... | |
| 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 = ..., | |
| ) -> tuple[list[Any], str]: ... | |