def test_union_polygons_overlap_partially(self):
"""Test the union method."""
vertices = np.array([[180, 90, 0, -90],
[89, 89, 89, 89]]).T
poly1 = SphPolygon(np.deg2rad(vertices))
vertices = np.array([[-45, -135, 135, 45],
[89, 89, 89, 89]]).T
poly2 = SphPolygon(np.deg2rad(vertices))
uni = np.array([[157.5, 89.23460094],
[-225., 89.],
[112.5, 89.23460094],
[90., 89.],
[67.5, 89.23460094],
[45., 89.],
[22.5, 89.23460094],
[0., 89.],
[-22.5, 89.23460094],
[-45., 89.],
[-67.5, 89.23460094],
[-90., 89.],
[-112.5, 89.23460094],
[-135., 89.],
[-157.5, 89.23460094],
[-180., 89.]])
poly_union = poly1.union(poly2)
self.assertTrue(np.allclose(poly_union.vertices, np.deg2rad(uni)))
def test_union_polygons_overlaps_completely(self):
"""Test the union method when one polygon is entirely inside the other."""
vertices = np.array([[1, 1, 20, 20], [1, 20, 20, 1]]).T
poly1 = SphPolygon(np.deg2rad(vertices))
vertices = np.array([[0, 0, 30, 30], [0, 30, 30, 0]]).T
poly2 = SphPolygon(np.deg2rad(vertices))
poly_union1 = poly1.union(poly2)
poly_union2 = poly2.union(poly1)
expected = np.deg2rad(np.array([[0, 0, 30, 30], [0, 30, 30, 0]]).T)
np.testing.assert_allclose(poly_union1.vertices, expected)
np.testing.assert_allclose(poly_union2.vertices, expected)
def test_bool(self):
"""Test the intersection and union functions."""
vertices = np.array([[180, 90, 0, -90], [89, 89, 89, 89]]).T
poly1 = SphPolygon(np.deg2rad(vertices))
vertices = np.array([[-45, -135, 135, 45], [89, 89, 89, 89]]).T
poly2 = SphPolygon(np.deg2rad(vertices))
uni = np.array([[157.5, 89.23460094], [-225.,
89.], [112.5, 89.23460094],
[90., 89.], [67.5, 89.23460094], [45., 89.],
[22.5, 89.23460094], [0., 89.], [-22.5, 89.23460094],
[-45., 89.], [-67.5, 89.23460094], [-90., 89.],
[-112.5, 89.23460094], [-135., 89.],
[-157.5, 89.23460094], [-180., 89.]])
inter = np.array([[157.5, 89.23460094], [112.5, 89.23460094],
[67.5, 89.23460094], [22.5, 89.23460094],
[-22.5, 89.23460094], [-67.5, 89.23460094],
[-112.5, 89.23460094], [-157.5, 89.23460094]])
poly_inter = poly1.intersection(poly2)
poly_union = poly1.union(poly2)
self.assertTrue(poly_inter.area() <= poly_union.area())
self.assertTrue(np.allclose(poly_inter.vertices, np.deg2rad(inter)))
self.assertTrue(np.allclose(poly_union.vertices, np.deg2rad(uni)))
# Test 2 polygons sharing 2 contiguous edges.
vertices1 = np.array([[-10, 10], [-5, 10], [0, 10], [5, 10], [10, 10],
[10, -10], [-10, -10]])
vertices2 = np.array([[-5, 10], [0, 10], [5, 10], [5, -5], [-5, -5]])
vertices3 = np.array([[5, 10], [5, -5], [-5, -5], [-5, 10], [0, 10]])
poly1 = SphPolygon(np.deg2rad(vertices1))
poly2 = SphPolygon(np.deg2rad(vertices2))
poly_inter = poly1.intersection(poly2)
self.assertTrue(np.allclose(poly_inter.vertices,
np.deg2rad(vertices3)))
# Test when last node of the intersection is the last vertice of the
# second polygon.
swath_vertices = np.array([[-115.32268301, 66.32946139],
[-61.48397172, 58.56799254],
[-60.25004314, 58.00754686],
[-71.35057076, 49.60229517],
[-113.746486, 56.03008985]])
area_vertices = np.array([[-68.32812107, 52.3480829],
[-67.84993896, 53.07015692],
[-55.54651296, 64.9254637],
[-24.63341856, 74.24628796],
[-31.8996363, 27.99907764],
[-39.581043, 37.0639821],
[-50.90185988, 45.56296169],
[-67.43022017, 52.12399581]])
res = np.array([[-62.77837918,
59.12607053], [-61.48397172, 58.56799254],
[-60.25004314,
58.00754686], [-71.35057076, 49.60229517],
[-113.746486, 56.03008985],
[-115.32268301, 66.32946139]])
poly1 = SphPolygon(np.deg2rad(swath_vertices))
poly2 = SphPolygon(np.deg2rad(area_vertices))
poly_inter = poly1.intersection(poly2)
self.assertTrue(np.allclose(poly_inter.vertices, np.deg2rad(res)))
poly_inter = poly2.intersection(poly1)
self.assertTrue(np.allclose(poly_inter.vertices, np.deg2rad(res)))