from typing import Any, Callable

from sympy.core.basic import Basic
from sympy.core.cache import cacheit

class CoordSys3D(Basic):
    def __new__(
        cls, name, transformation=..., parent=..., location=..., rotation_matrix=..., vector_names=..., variable_names=...
    ): ...
    def __iter__(self): ...
    @property
    def origin(self): ...
    def base_vectors(self): ...
    def base_scalars(self): ...
    def lame_coefficients(self): ...
    def transformation_to_parent(self): ...
    def transformation_from_parent(self) -> tuple[Any, ...]: ...
    def transformation_from_parent_function(self) -> Callable[..., tuple[Any, ...]]: ...
    def rotation_matrix(self, other): ...
    @cacheit
    def position_wrt(self, other): ...
    def scalar_map(self, other) -> dict[Any, Any]: ...
    def locate_new(self, name, position, vector_names=..., variable_names=...) -> CoordSys3D: ...
    def orient_new(self, name, orienters, location=..., vector_names=..., variable_names=...) -> CoordSys3D: ...
    def orient_new_axis(self, name, angle, axis, location=..., vector_names=..., variable_names=...) -> CoordSys3D: ...
    def orient_new_body(
        self, name, angle1, angle2, angle3, rotation_order, location=..., vector_names=..., variable_names=...
    ) -> CoordSys3D: ...
    def orient_new_space(
        self, name, angle1, angle2, angle3, rotation_order, location=..., vector_names=..., variable_names=...
    ) -> CoordSys3D: ...
    def orient_new_quaternion(self, name, q0, q1, q2, q3, location=..., vector_names=..., variable_names=...) -> CoordSys3D: ...
    def create_new(self, name, transformation, variable_names=..., vector_names=...) -> CoordSys3D: ...
    def __init__(
        self,
        name,
        location=...,
        rotation_matrix=...,
        parent=...,
        vector_names=...,
        variable_names=...,
        latex_vects=...,
        pretty_vects=...,
        latex_scalars=...,
        pretty_scalars=...,
        transformation=...,
    ) -> None: ...