code: def test_2d_box_constraints(self):
      # Box constraint in the direction of vector d
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [1, 1], [3, 3]
      )
      assert_array_almost_equal([ta, tb], [0.5, 1])
      assert_equal(intersect, True)
  
      # Negative direction
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [1, -3], [3, -1]
      )
      assert_equal(intersect, False)
  
      # Some constraints are absent (set to +/- inf)
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [-np.inf, 1], [np.inf, np.inf]
      )
      assert_array_almost_equal([ta, tb], [0.5, 1])
      assert_equal(intersect, True)
  
      # Intersect on the face of the box
      ta, tb, intersect = box_intersections(
          [1, 0], [0, 1], [1, 1], [3, 3]
      )
      assert_array_almost_equal([ta, tb], [1, 1])
      assert_equal(intersect, True)
  
      # Interior initial point
      ta, tb, intersect = box_intersections(
          [0, 0], [4, 4], [-2, -3], [3, 2]
      )
      assert_array_almost_equal([ta, tb], [0, 0.5])
      assert_equal(intersect, True)
  
      # No intersection between line and box constraints
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [-3, -3], [-1, -1]
      )
      assert_equal(intersect, False)
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [-3, 3], [-1, 1]
      )
      assert_equal(intersect, False)
      ta, tb, intersect = box_intersections(
          [2, 0], [0, 2], [-3, -np.inf], [-1, np.inf]
      )
      assert_equal(intersect, False)
      ta, tb, intersect = box_intersections(
          [0, 0], [1, 100], [1, 1], [3, 3]
      )
      assert_equal(intersect, False)
      ta, tb, intersect = box_intersections(
          [0.99, 0], [0, 2], [1, 1], [3, 3]
      )
      assert_equal(intersect, False)
  
      # Initial point on the boundary
      ta, tb, intersect = box_intersections(
          [2, 2], [0, 1], [-2, -2], [2, 2]
      )
      assert_array_almost_equal([ta, tb], [0, 0])
      assert_equal(intersect, True)
  
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 1 for calling the TestBoxBoundariesIntersections obj's underlying member method code with example usage: obj.test_2d_box_constraints() without return types