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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]]: ...