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polynomial.pyi
from typing import ( Literal as L, overload, Any, SupportsInt, SupportsIndex, TypeVar, NoReturn, ) from numpy import ( RankWarning as RankWarning, poly1d as poly1d, unsignedinteger, signedinteger, floating, complexfloating, bool_, int32, int64, float64, complex128, object_, ) from numpy._typing import ( NDArray, ArrayLike, _ArrayLikeBool_co, _ArrayLikeUInt_co, _ArrayLikeInt_co, _ArrayLikeFloat_co, _ArrayLikeComplex_co, _ArrayLikeObject_co, ) _T = TypeVar("_T") _2Tup = tuple[_T, _T] _5Tup = tuple[ _T, NDArray[float64], NDArray[int32], NDArray[float64], NDArray[float64], ] __all__: list[str] def poly(seq_of_zeros: ArrayLike) -> NDArray[floating[Any]]: ... # Returns either a float or complex array depending on the input values. # See `np.linalg.eigvals`. def roots(p: ArrayLike) -> NDArray[complexfloating[Any, Any]] | NDArray[floating[Any]]: ... @overload def polyint( p: poly1d, m: SupportsInt | SupportsIndex = ..., k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ..., ) -> poly1d: ... @overload def polyint( p: _ArrayLikeFloat_co, m: SupportsInt | SupportsIndex = ..., k: None | _ArrayLikeFloat_co = ..., ) -> NDArray[floating[Any]]: ... @overload def polyint( p: _ArrayLikeComplex_co, m: SupportsInt | SupportsIndex = ..., k: None | _ArrayLikeComplex_co = ..., ) -> NDArray[complexfloating[Any, Any]]: ... @overload def polyint( p: _ArrayLikeObject_co, m: SupportsInt | SupportsIndex = ..., k: None | _ArrayLikeObject_co = ..., ) -> NDArray[object_]: ... @overload def polyder( p: poly1d, m: SupportsInt | SupportsIndex = ..., ) -> poly1d: ... @overload def polyder( p: _ArrayLikeFloat_co, m: SupportsInt | SupportsIndex = ..., ) -> NDArray[floating[Any]]: ... @overload def polyder( p: _ArrayLikeComplex_co, m: SupportsInt | SupportsIndex = ..., ) -> NDArray[complexfloating[Any, Any]]: ... @overload def polyder( p: _ArrayLikeObject_co, m: SupportsInt | SupportsIndex = ..., ) -> NDArray[object_]: ... @overload def polyfit( x: _ArrayLikeFloat_co, y: _ArrayLikeFloat_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[False] = ..., w: None | _ArrayLikeFloat_co = ..., cov: L[False] = ..., ) -> NDArray[float64]: ... @overload def polyfit( x: _ArrayLikeComplex_co, y: _ArrayLikeComplex_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[False] = ..., w: None | _ArrayLikeFloat_co = ..., cov: L[False] = ..., ) -> NDArray[complex128]: ... @overload def polyfit( x: _ArrayLikeFloat_co, y: _ArrayLikeFloat_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[False] = ..., w: None | _ArrayLikeFloat_co = ..., cov: L[True, "unscaled"] = ..., ) -> _2Tup[NDArray[float64]]: ... @overload def polyfit( x: _ArrayLikeComplex_co, y: _ArrayLikeComplex_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[False] = ..., w: None | _ArrayLikeFloat_co = ..., cov: L[True, "unscaled"] = ..., ) -> _2Tup[NDArray[complex128]]: ... @overload def polyfit( x: _ArrayLikeFloat_co, y: _ArrayLikeFloat_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[True] = ..., w: None | _ArrayLikeFloat_co = ..., cov: bool | L["unscaled"] = ..., ) -> _5Tup[NDArray[float64]]: ... @overload def polyfit( x: _ArrayLikeComplex_co, y: _ArrayLikeComplex_co, deg: SupportsIndex | SupportsInt, rcond: None | float = ..., full: L[True] = ..., w: None | _ArrayLikeFloat_co = ..., cov: bool | L["unscaled"] = ..., ) -> _5Tup[NDArray[complex128]]: ... @overload def polyval( p: _ArrayLikeBool_co, x: _ArrayLikeBool_co, ) -> NDArray[int64]: ... @overload def polyval( p: _ArrayLikeUInt_co, x: _ArrayLikeUInt_co, ) -> NDArray[unsignedinteger[Any]]: ... @overload def polyval( p: _ArrayLikeInt_co, x: _ArrayLikeInt_co, ) -> NDArray[signedinteger[Any]]: ... @overload def polyval( p: _ArrayLikeFloat_co, x: _ArrayLikeFloat_co, ) -> NDArray[floating[Any]]: ... @overload def polyval( p: _ArrayLikeComplex_co, x: _ArrayLikeComplex_co, ) -> NDArray[complexfloating[Any, Any]]: ... @overload def polyval( p: _ArrayLikeObject_co, x: _ArrayLikeObject_co, ) -> NDArray[object_]: ... @overload def polyadd( a1: poly1d, a2: _ArrayLikeComplex_co | _ArrayLikeObject_co, ) -> poly1d: ... @overload def polyadd( a1: _ArrayLikeComplex_co | _ArrayLikeObject_co, a2: poly1d, ) -> poly1d: ... @overload def polyadd( a1: _ArrayLikeBool_co, a2: _ArrayLikeBool_co, ) -> NDArray[bool_]: ... @overload def polyadd( a1: _ArrayLikeUInt_co, a2: _ArrayLikeUInt_co, ) -> NDArray[unsignedinteger[Any]]: ... @overload def polyadd( a1: _ArrayLikeInt_co, a2: _ArrayLikeInt_co, ) -> NDArray[signedinteger[Any]]: ... @overload def polyadd( a1: _ArrayLikeFloat_co, a2: _ArrayLikeFloat_co, ) -> NDArray[floating[Any]]: ... @overload def polyadd( a1: _ArrayLikeComplex_co, a2: _ArrayLikeComplex_co, ) -> NDArray[complexfloating[Any, Any]]: ... @overload def polyadd( a1: _ArrayLikeObject_co, a2: _ArrayLikeObject_co, ) -> NDArray[object_]: ... @overload def polysub( a1: poly1d, a2: _ArrayLikeComplex_co | _ArrayLikeObject_co, ) -> poly1d: ... @overload def polysub( a1: _ArrayLikeComplex_co | _ArrayLikeObject_co, a2: poly1d, ) -> poly1d: ... @overload def polysub( a1: _ArrayLikeBool_co, a2: _ArrayLikeBool_co, ) -> NoReturn: ... @overload def polysub( a1: _ArrayLikeUInt_co, a2: _ArrayLikeUInt_co, ) -> NDArray[unsignedinteger[Any]]: ... @overload def polysub( a1: _ArrayLikeInt_co, a2: _ArrayLikeInt_co, ) -> NDArray[signedinteger[Any]]: ... @overload def polysub( a1: _ArrayLikeFloat_co, a2: _ArrayLikeFloat_co, ) -> NDArray[floating[Any]]: ... @overload def polysub( a1: _ArrayLikeComplex_co, a2: _ArrayLikeComplex_co, ) -> NDArray[complexfloating[Any, Any]]: ... @overload def polysub( a1: _ArrayLikeObject_co, a2: _ArrayLikeObject_co, ) -> NDArray[object_]: ... # NOTE: Not an alias, but they do have the same signature (that we can reuse) polymul = polyadd @overload def polydiv( u: poly1d, v: _ArrayLikeComplex_co | _ArrayLikeObject_co, ) -> _2Tup[poly1d]: ... @overload def polydiv( u: _ArrayLikeComplex_co | _ArrayLikeObject_co, v: poly1d, ) -> _2Tup[poly1d]: ... @overload def polydiv( u: _ArrayLikeFloat_co, v: _ArrayLikeFloat_co, ) -> _2Tup[NDArray[floating[Any]]]: ... @overload def polydiv( u: _ArrayLikeComplex_co, v: _ArrayLikeComplex_co, ) -> _2Tup[NDArray[complexfloating[Any, Any]]]: ... @overload def polydiv( u: _ArrayLikeObject_co, v: _ArrayLikeObject_co, ) -> _2Tup[NDArray[Any]]: ...
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