code: def test_2d_box_constraints(self):
      # Both constraints are active
      ta, tb, intersect = box_sphere_intersections(
          [1, 1], [-2, 2], [-1, -2], [1, 2], 2, entire_line=False
      )
      assert_array_almost_equal([ta, tb], [0, 0.5])
      assert_equal(intersect, True)
  
      # None of the constraints are active
      ta, tb, intersect = box_sphere_intersections(
          [1, 1], [-1, 1], [-1, -3], [1, 3], 10, entire_line=False
      )
      assert_array_almost_equal([ta, tb], [0, 1])
      assert_equal(intersect, True)
  
      # Box constraints are active
      ta, tb, intersect = box_sphere_intersections(
          [1, 1], [-4, 4], [-1, -3], [1, 3], 10, entire_line=False
      )
      assert_array_almost_equal([ta, tb], [0, 0.5])
      assert_equal(intersect, True)
  
      # Spherical constraints are active
      ta, tb, intersect = box_sphere_intersections(
          [1, 1], [-4, 4], [-1, -3], [1, 3], 2, entire_line=False
      )
      assert_array_almost_equal([ta, tb], [0, 0.25])
      assert_equal(intersect, True)
  
      # Infeasible problems
      ta, tb, intersect = box_sphere_intersections(
          [2, 2], [-4, 4], [-1, -3], [1, 3], 2, entire_line=False
      )
      assert_equal(intersect, False)
      ta, tb, intersect = box_sphere_intersections(
          [1, 1], [-4, 4], [2, 4], [2, 4], 2, entire_line=False
      )
      assert_equal(intersect, False)
  
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 TestBoxSphereBoundariesIntersections obj's underlying member method code with example usage: obj.test_2d_box_constraints() without return types