code: def assign(cls, dataset, new_data):
      import xarray as xr
  
      data = dataset.data
      prev_coords = set.intersection(
          *[set(var.coords) for var in data.data_vars.values()]
      )
      coords = {}
      for k, v in new_data.items():
          if k not in dataset.kdims:
              continue
          elif isinstance(v, xr.DataArray):
              coords[k] = v.rename(
                  **({v.name: k} if v.name != k else {})
              )
              continue
          coord_vals = cls.coords(dataset, k)
          if not coord_vals.ndim > 1 and np.all(
              coord_vals[1:] < coord_vals[:-1]
          ):
              v = v[::-1]
          coords[k] = (k, v)
      if coords:
          data = data.assign_coords(**coords)
  
      dims = tuple(kd.name for kd in dataset.kdims[::-1])
      vars = {}
      for k, v in new_data.items():
          if k in dataset.kdims:
              continue
          if isinstance(v, xr.DataArray):
              vars[k] = v
          else:
              vars[k] = (
                  dims,
                  cls.canonicalize(dataset, v, data_coords=dims),
              )
  
      if len(vars) == 1 and list(vars) == [
          vd.name for vd in dataset.vdims
      ]:
          data = vars[dataset.vdims[0].name]
          used_coords = set(data.coords)
      else:
          if vars:
              data = data.assign(vars)
          used_coords = set.intersection(
              *[set(var.coords) for var in data.data_vars.values()]
          )
      drop_coords = set.symmetric_difference(used_coords, prev_coords)
      return data.drop_vars(
          [c for c in drop_coords if c in data.coords]
      ), list(drop_coords)
  
imports: import sys
  import types
  import numpy
  import pandas
  from ..None import util
  from ..dimension import Dimension, asdim, dimension_name
  from ..element import Element
  from ..ndmapping import NdMapping, item_check, sorted_context
  from .grid import GridInterface
  from .interface import DataError, Interface
  from .util import dask_array_module, finite_range
label_desc: Use image node_id 28 for calling the XArrayInterface obj's underlying member method code with example usage: obj.assign(cls, dataset, new_data) and returns: data,  list