code: def test_modify_mesh():
      x = np.array([0, 1, 3, 9], dtype=float)
      x_new = modify_mesh(x, np.array([0]), np.array([2]))
      assert_array_equal(x_new, np.array([0, 0.5, 1, 3, 5, 7, 9]))
  
      x = np.array([-6, -3, 0, 3, 6], dtype=float)
      x_new = modify_mesh(
          x, np.array([1], dtype=int), np.array([0, 2, 3])
      )
      assert_array_equal(
          x_new, [-6, -5, -4, -3, -1.5, 0, 1, 2, 3, 4, 5, 6]
      )
  
imports: import sys
  import numpy
  from numpy.testing import assert_, assert_array_equal, assert_allclose, assert_equal
  from pytest import raises
  from scipy.sparse import coo_matrix
  from scipy.special import erf
  from scipy.integrate._bvp import modify_mesh, estimate_fun_jac, estimate_bc_jac, compute_jac_indices, construct_global_jac, solve_bvp
label_desc: Use image node_id 33 for calling a global function with example usage: test_modify_mesh() without return types