new_contents: import unittest
  
  import numpy as np
  import numpy.linalg as la
  import numpy.random as rnd
  import numpy.testing as np_testing
  
  from pymanopt.manifolds import Elliptope
  
  
  class TestElliptopeManifold(unittest.TestCase):
      def setUp(self):
          self.n = n = 50
          self.k = k = 10
          self.man = Elliptope(n, k)
  
      # def test_dim(self):
  
      # def test_typicaldist(self):
  
      # def test_dist(self):
  
      # def test_inner(self):
  
      # def test_proj(self):
  
      # def test_ehess2rhess(self):
  
      # def test_retr(self):
  
      # def test_egrad2rgrad(self):
  
      # def test_norm(self):
  
      # def test_rand(self):
  
      # def test_randvec(self):
  
      # def test_transp(self):
  
      # def test_exp_log_inverse(self):
          # s = self.man
          # X = s.rand()
          # U = s.randvec(X)
          # Uexplog = s.exp(X, s.log(X, U))
          # np_testing.assert_array_almost_equal(U, Uexplog)
  
      # def test_log_exp_inverse(self):
          # s = self.man
          # X = s.rand()
          # U = s.randvec(X)
          # Ulogexp = s.log(X, s.exp(X, U))
          # np_testing.assert_array_almost_equal(U, Ulogexp)
  
      # def test_pairmean(self):
          # s = self.man
          # X = s.rand()
          # Y = s.rand()
          # Z = s.pairmean(X, Y)
          # np_testing.assert_array_almost_equal(s.dist(X, Z), s.dist(Y, Z))
  
subject: Add elliptope manifold test skeleton.