code: def test_trust_region_barely_feasible(self):
      H = csc_matrix(
          [[6, 2, 1, 3], [2, 5, 2, 4], [1, 2, 4, 5], [3, 4, 5, 7]]
      )
      A = csc_matrix([[1, 0, 1, 0], [0, 1, 1, 1]])
      c = np.array([-2, -3, -3, 1])
      b = -np.array([3, 0])
      trust_radius = 2.32379000772445021283
      Z, _, Y = projections(A)
      x, info = projected_cg(
          H, c, Z, Y, b, tol=0, trust_radius=trust_radius
      )
      assert_equal(info["stop_cond"], 2)
      assert_equal(info["hits_boundary"], True)
      assert_array_almost_equal(np.linalg.norm(x), trust_radius)
      assert_array_almost_equal(x, -Y.dot(b))
  
imports: import numpy
  from scipy.sparse import csc_matrix
  from scipy.optimize._trustregion_constr.qp_subproblem import eqp_kktfact, projected_cg, box_intersections, sphere_intersections, box_sphere_intersections, modified_dogleg
  from scipy.optimize._trustregion_constr.projections import projections
  from numpy.testing import TestCase, assert_array_almost_equal, assert_equal
  import pytest
label_desc: Use image node_id 4 for calling the TestProjectCG obj's underlying member method code with example usage: obj.test_trust_region_barely_feasible() without return types