code: def test_2d_sphere_constraints(self):
      # Interior inicial point
      ta, tb, intersect = sphere_intersections([0, 0], [1, 0], 0.5)
      assert_array_almost_equal([ta, tb], [0, 0.5])
      assert_equal(intersect, True)
  
      # No intersection between line and circle
      ta, tb, intersect = sphere_intersections([2, 0], [0, 1], 1)
      assert_equal(intersect, False)
  
      # Outside inicial point pointing toward outside the circle
      ta, tb, intersect = sphere_intersections([2, 0], [1, 0], 1)
      assert_equal(intersect, False)
  
      # Outside inicial point pointing toward inside the circle
      ta, tb, intersect = sphere_intersections([2, 0], [-1, 0], 1.5)
      assert_array_almost_equal([ta, tb], [0.5, 1])
      assert_equal(intersect, True)
  
      # Inicial point on the boundary
      ta, tb, intersect = sphere_intersections([2, 0], [1, 0], 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_array_equal, assert_array_less, assert_equal, assert_, run_module_suite, assert_allclose, assert_warns, dec
  import pytest
label_desc: Use image node_id 1 for calling the TestSphericalBoundariesIntersections obj's underlying member method code with example usage: obj.test_2d_sphere_constraints() without return types