code: def __init__(self, space, image_space):
      if not space.dim == 1:
          raise ValueError(
              "This dummy class using SO(2) metric for S1 has "
              "a meaning only when dim=1"
          )
      if not isinstance(image_space.metric, BiInvariantMetric):
          raise ValueError(
              "Image space must be equipped with a bi-invariant metric"
          )
  
      diffeo = CircleSO2Diffeo()
      super().__init__(
          space=space, diffeo=diffeo, image_space=image_space
      )
  
imports: import geomstats.backend
  from geomstats.geometry.base import ImmersedSet
  from geomstats.geometry.euclidean import Euclidean
  from geomstats.geometry.invariant_metric import BiInvariantMetric
  from geomstats.geometry.pullback_metric import PullbackDiffeoMetric
  from geomstats.test_cases.geometry.diffeo import CircleSO2Diffeo
  from geomstats.test_cases.geometry.riemannian_metric import RiemannianMetricTestCase
label_desc: Use image node_id 1 to create a new CircleAsSO2Metric object from inherited base classes: PullbackDiffeoMetric with example: obj = CircleAsSO2Metric(space, image_space)