class_docstr: Class for the Log-Euclidean metric on the HPD manifold.
code: def __init__(self, space, image_space=None):
      if image_space is None:
          image_space = HermitianMatrices(n=space.n)
      diffeo = SymMatrixLog()
      super().__init__(space, diffeo, image_space)
  
imports: import math
  import geomstats.backend
  from geomstats.geometry.base import ComplexVectorSpaceOpenSet
  from geomstats.geometry.complex_matrices import ComplexMatrices, ComplexMatricesMetric
  from geomstats.geometry.complex_riemannian_metric import ComplexRiemannianMetric
  from geomstats.geometry.general_linear import GeneralLinear
  from geomstats.geometry.hermitian_matrices import HermitianMatrices, expmh, powermh
  from geomstats.geometry.matrices import Matrices
  from geomstats.geometry.pullback_metric import PullbackDiffeoMetric
  from geomstats.geometry.spd_matrices import SymMatrixLog, logmh
  from geomstats.integrator import integrate
  from geomstats.vectorization import repeat_out
label_desc: Use image node_id 1 to create a new HPDLogEuclideanMetric object from inherited base classes: PullbackDiffeoMetric with example: obj = HPDLogEuclideanMetric(space, image_space)