Symbolic Coord System

class mechpy.core.symbolic.coord.SymbolicCoordSystem(origin: Tuple[Number], basis: Tuple[Symbol | Expr])

Bases: object

classmethod auto_detect(data)

classmethod coord_subs(data: Tuple[Symbol | Expr], dict: dict)

classmethod coord_eval(data: Tuple[Symbol | Expr], subs=None)

class mechpy.core.symbolic.coord.SymbolicCartesianCoordSystem(origin: Tuple[Number] = None, basis: Tuple[Symbol | Expr] = None)

Bases: SymbolicCoordSystem

get_basis_cylindrical_exprs(cylindrical_basis=None) → dict

Get the expressions for cylindrical basis in terms of Cartesian basis. :return: A dictionary with cylindrical basis expressions.

get_basis_spherical_exprs(spherical_basis=None) → dict

Get the expressions for spherical basis in terms of Cartesian basis. :return: A dictionary with spherical basis expressions.

to_cylindrical()

Convert to cylindrical coordinate system. :return: An instance of SymbolicCylindricalCoordSystem.

to_spherical()

Convert to spherical coordinate system. :return: An instance of SymbolicSphericalCoordSystem.

get_cylindrical_coord(values: tuple) → tuple

Convert Cartesian coordinates to cylindrical coordinates. :param values: A tuple of Cartesian coordinates (x, y, z). :return: An tuple of cylindrical coordinates (r, theta, z).

get_spherical_coord(values: tuple) → tuple

Convert Cartesian coordinates to spherical coordinates. :param values: A tuple of Cartesian coordinates (x, y, z). :return: An tuple of spherical coordinates (r, theta, phi).

class mechpy.core.symbolic.coord.SymbolicCylindricalCoordSystem(origin: Tuple[int | float] = None, basis: Tuple[Symbol | Expr] = None)

Bases: SymbolicCoordSystem

get_basis_cartesian_exprs(cartesian_basis=None) → dict

to_cartesian()

get_cartesian_coords(values)

class mechpy.core.symbolic.coord.SymbolicSphericalCoordSystem(origin: Tuple[int | float] = None, basis: Tuple[Symbol | Expr] = None)

Bases: SymbolicCoordSystem

get_basis_cartesian_exprs(cartesian_basis=None) → dict

to_cartesian()

get_cartesian_coords(values)