'Store information about some default, pre-defined inverse
transformation equations.
Parameters
curv_coord_name : str
The type of the new coordinate system.'

def _set_inv_trans_equations(self, curv_coord_name):

    equations_mapping = {'cartesian': (self.x, self.y, self.z), 'spherical': (sqrt((((self.x ** 2) + (self.y ** 2)) + (self.z ** 2))), acos((self.z / sqrt((((self.x ** 2) + (self.y ** 2)) + (self.z ** 2))))), atan2(self.y, self.x)), 'cylindrical': (sqrt(((self.x ** 2) + (self.y ** 2))), atan2(self.y, self.x), self.z)}
    if (curv_coord_name not in equations_mapping):
        raise ValueError('Wrong    set    of    parameters.Type    of    coordinate    system    is    defined')
    self._inv_transformation_eqs = equations_mapping[curv_coord_name]
