code: def test_path_intersect_path(phi):
      # test for the range of intersection angles
      eps_array = [1e-5, 1e-8, 1e-10, 1e-12]
  
      transform = transforms.Affine2D().rotate(np.deg2rad(phi))
  
      # a and b intersect at angle phi
      a = Path([(-2, 0), (2, 0)])
      b = transform.transform_path(a)
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # a and b touch at angle phi at (0, 0)
      a = Path([(0, 0), (2, 0)])
      b = transform.transform_path(a)
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # a and b are orthogonal and intersect at (0, 3)
      a = transform.transform_path(Path([(0, 1), (0, 3)]))
      b = transform.transform_path(Path([(1, 3), (0, 3)]))
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # a and b are collinear and intersect at (0, 3)
      a = transform.transform_path(Path([(0, 1), (0, 3)]))
      b = transform.transform_path(Path([(0, 5), (0, 3)]))
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # self-intersect
      assert a.intersects_path(a)
  
      # a contains b
      a = transform.transform_path(Path([(0, 0), (5, 5)]))
      b = transform.transform_path(Path([(1, 1), (3, 3)]))
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # a and b are collinear but do not intersect
      a = transform.transform_path(Path([(0, 1), (0, 5)]))
      b = transform.transform_path(Path([(3, 0), (3, 3)]))
      assert not a.intersects_path(b) and not b.intersects_path(a)
  
      # a and b are on the same line but do not intersect
      a = transform.transform_path(Path([(0, 1), (0, 5)]))
      b = transform.transform_path(Path([(0, 6), (0, 7)]))
      assert not a.intersects_path(b) and not b.intersects_path(a)
  
      # Note: 1e-13 is the absolute tolerance error used for
      # `isclose` function from src/_path.h
  
      # a and b are parallel but do not touch
      for eps in eps_array:
          a = transform.transform_path(Path([(0, 1), (0, 5)]))
          b = transform.transform_path(
              Path([(0 + eps, 1), (0 + eps, 5)])
          )
          assert not a.intersects_path(b) and not b.intersects_path(a)
  
      # a and b are on the same line but do not intersect (really close)
      for eps in eps_array:
          a = transform.transform_path(Path([(0, 1), (0, 5)]))
          b = transform.transform_path(Path([(0, 5 + eps), (0, 7)]))
          assert not a.intersects_path(b) and not b.intersects_path(a)
  
      # a and b are on the same line and intersect (really close)
      for eps in eps_array:
          a = transform.transform_path(Path([(0, 1), (0, 5)]))
          b = transform.transform_path(Path([(0, 5 - eps), (0, 7)]))
          assert a.intersects_path(b) and b.intersects_path(a)
  
      # b is the same as a but with an extra point
      a = transform.transform_path(Path([(0, 1), (0, 5)]))
      b = transform.transform_path(Path([(0, 1), (0, 2), (0, 5)]))
      assert a.intersects_path(b) and b.intersects_path(a)
  
      # a and b are collinear but do not intersect
      a = transform.transform_path(Path([(1, -1), (0, -1)]))
      b = transform.transform_path(Path([(0, 1), (0.9, 1)]))
      assert not a.intersects_path(b) and not b.intersects_path(a)
  
      # a and b are collinear but do not intersect
      a = transform.transform_path(Path([(0.0, -5.0), (1.0, -5.0)]))
      b = transform.transform_path(Path([(1.0, 5.0), (0.0, 5.0)]))
      assert not a.intersects_path(b) and not b.intersects_path(a)
  
imports: import re
  import numpy
  from numpy.testing import assert_array_equal
  import pytest
  from matplotlib import patches
  from matplotlib.path import Path
  from matplotlib.patches import Polygon
  from matplotlib.testing.decorators import image_comparison
  import matplotlib.pyplot
  from matplotlib import transforms
  from matplotlib.backend_bases import MouseEvent
label_desc: Use image node_id 24 for calling a global function with example usage: test_path_intersect_path(phi) without return types