code: def compare_solutions(A, B, m):
      n = A.shape[0]
  
      np.random.seed(0)
  
      V = rand(n, m)
      X = linalg.orth(V)
  
      eigs, vecs = lobpcg(
          A, X, B=B, tol=1e-5, maxiter=30, largest=False
      )
      eigs.sort()
  
      w, v = eig(A, b=B)
      w.sort()
  
      assert_almost_equal(
          w[: int(m / 2)], eigs[: int(m / 2)], decimal=2
      )
  
imports: from __future__ import division, print_function, absolute_import
  import itertools
  import numpy
  from numpy.testing import assert_almost_equal, assert_equal, assert_allclose, assert_array_less
  from scipy import ones, rand, r_, diag, linalg, eye
  from scipy.linalg import eig, eigh, toeplitz
  import scipy.sparse
  from scipy.sparse.linalg.eigen.lobpcg import lobpcg
  from scipy.sparse.linalg import eigs
  from scipy.sparse import spdiags
  import pytest
label_desc: Use image node_id 3 for calling a global function with example usage: compare_solutions(A, B, m) without return types