def test_line_intersection(
r1_x1, r1_y1, r1_x2, r1_y2, r2_x1, r2_y1, r2_x2, r2_y2, resx, resy
):
s1 = Segment.from_coordinates(r1_x1, r1_y1, r1_x2, r1_y2)
s2 = Segment.from_coordinates(r2_x1, r2_y1, r2_x2, r2_y2)
self.assertEqual(s1._lines_intersection(s2), Point(resx, resy) )
def test_contains_point(self):
s = Segment.from_coordinates(0, 0, 0, 2)
self.assertFalse(s.contains_point(1, 2))
self.assertFalse(s.contains_point(Point(1, 2)))
self.assertFalse(s.contains_point(Point(3, 4)))
self.assertFalse(s.contains_point(0, 2.001))
self.assertFalse(s.contains_point(0, -0.05))
self.assertTrue(s.contains_point(0, 1))
self.assertTrue(s.contains_point(0, 1.9))
self.assertTrue(s.contains_point(Point(0, 0.1)))
s = Segment.from_coordinates(3, 0, 3, 2)
self.assertFalse(s.contains_point(1, 2))
self.assertFalse(s.contains_point(Point(1, 2)))
self.assertFalse(s.contains_point(3, 2.1))
self.assertFalse(s.contains_point(3, -0.1))
self.assertTrue(s.contains_point(3, 2))
self.assertTrue(s.contains_point(3, 0))
self.assertTrue(s.contains_point(3, 1))
s = Segment.from_coordinates(0, 0, 1, 1)
self.assertFalse(s.contains_point(1, 2))
self.assertFalse(s.contains_point(Point(1, 3)))
self.assertFalse(s.contains_point(Point(-3, 3)))
self.assertTrue(s.contains_point(0.999, 0.999))
self.assertTrue(s.contains_point(0.001, 0.001))
self.assertTrue(s.contains_point(0.5, 0.5))
def test_segment_intersection(
r1_x1, r1_y1, r1_x2, r1_y2, r2_x1, r2_y1, r2_x2, r2_y2, res
):
s1 = Segment.from_coordinates(r1_x1, r1_y1, r1_x2, r1_y2)
s2 = Segment.from_coordinates(r2_x1, r2_y1, r2_x2, r2_y2)
self.assertEqual(s1.intersect_with(s2), res)
self.assertEqual(s2.intersect_with(s1), res)
def test_y_intercept_parameter(self):
s = Segment.from_coordinates(0, 0, 1, 2)
self.assertEqual(s.y_intercept, 0)
s = Segment.from_coordinates(0, 2, 1, 2)
self.assertEqual(s.y_intercept, 2)
s = Segment.from_coordinates(0, 8, 1, 2)
self.assertEqual(s.y_intercept, 8)
def test_segment_length(self):
s = Segment.from_coordinates(0, 0, 1, 1)
self.assertEqual(s.length(), math.sqrt(2))
s = Segment.from_coordinates(0, 0, 0, 2)
self.assertEqual(s.length(), 2)
s = Segment.from_coordinates(0, 0, -3, 0)
self.assertEqual(s.length(), 3)
def test_vertical_lines(self):
s = Segment.from_coordinates(0, 0, 3, 3)
self.assertEqual(s.is_vertical(), False)
self.assertEqual(s.x_value, None)
s = Segment.from_coordinates(0, 0, 0, 2)
self.assertEqual(s.is_vertical(), True)
self.assertEqual(s.x_value, 0)
s = Segment.from_coordinates(4, 0, 4, 2)
self.assertEqual(s.is_vertical(), True)
self.assertEqual(s.x_value, 4)
def test_slope_calc(self):
s = Segment.from_coordinates(0, 0, 1, 2)
self.assertEqual(s.slope, 2)
s = Segment.from_coordinates(0, 0, 3, 9)
self.assertEqual(s.slope, 3)
s = Segment.from_coordinates(0, 0, 3, 3)
self.assertEqual(s.slope, 1)
s = Segment.from_coordinates(0, 0, 0, 2)
self.assertEqual(s.slope, float("+inf"))
def test_segment_equality(self):
s = Segment.from_tuples( (1,2), (3, 4) )
s2 = Segment.from_coordinates( 1, 2, 3, 4 )
self.assertEqual(s, s2)
self.assertEqual(s2, s)
self.assertEqual(s, (Point(1, 2), Point(3, 4.0009)) )
self.assertNotEqual(s, (Point(1, 2), Point(3, 4.0011)) )
def test_lines_intersection(self):
s1 = Segment.from_coordinates(0, 0, 1, 1)
s2 = Segment.from_coordinates(0, 0, -1, 1)
s3 = Segment.from_coordinates(0, 0, 1, -1)
s4 = Segment.from_coordinates(0, 0, -1, -1)
self.assertEqual(s1._lines_intersection(s2), Point(0, 0))
self.assertTrue(s2._lines_intersection(s3) )
self.assertEqual(s3._lines_intersection(s4), Point(0, 0))
self.assertTrue(s4._lines_intersection(s1) )
# More parallel lines
p1 = Segment.from_coordinates(-20, -20, 5, 5)
p2 = Segment.from_coordinates(40, 40, 41, 41)
self.assertTrue( s1._lines_intersection(p1) is True )
self.assertTrue( s1._lines_intersection(p2) is True )
self.assertTrue( p2._lines_intersection(p1) is True )
# specific intersections
# y = mx e y = -mx + 2 devono interseccarsi in y = 1, x = 1
i1 = Segment.from_coordinates(0, 2, 2, 0)
self.assertEqual( s1._lines_intersection(i1), Point(1, 1))
# vertical lines
v1 = Segment.from_coordinates(0, 0, 0, 2)
v2 = Segment.from_coordinates(2, 0, 2, 3)
self.assertFalse( v1._lines_intersection(v2) )
self.assertEqual( v1._lines_intersection(s1), Point(0,0) )
self.assertEqual( v1._lines_intersection(s2), Point(0,0) )
self.assertEqual( v1._lines_intersection(s3), Point(0,0) )
self.assertEqual( v1._lines_intersection(s4), Point(0,0) )
self.assertEqual( v1._lines_intersection(s1), Point(0,0) )
self.assertEqual( v1._lines_intersection(i1), Point(0,2) )
self.assertEqual( i1._lines_intersection(v1), Point(0,2) )
def test_line_intersection(
r1_x1, r1_y1, r1_x2, r1_y2, r2_x1, r2_y1, r2_x2, r2_y2, resx, resy
):
s1 = Segment.from_coordinates(r1_x1, r1_y1, r1_x2, r1_y2)
s2 = Segment.from_coordinates(r2_x1, r2_y1, r2_x2, r2_y2)
self.assertEqual(s1._lines_intersection(s2), Point(resx, resy) )
# We love wolframalpha
test_line_intersection(1, 2, 2, 1, 2, 0, 4, 3, 2.4, 0.6)
test_line_intersection(-91,22, 60, -53, -90, 88, -17, -71, -50.4514, 1.85999)
test_line_intersection(-74,-1, 78, -47, -3, 75, -76, -51, -51.0548, -7.94394)
test_line_intersection(83,-25, 60, 57, 34, 47, -58, -38, 56.8765, 68.1359)
def test_segment_creation(self):
s = Segment.from_tuples( (1,2), (3, 4) )
s2 = Segment.from_coordinates( 1, 2, 3, 4 )
self.assertEqual(s.start, s2.start)
self.assertEqual(s.end, s2.end)
self.assertEqual(s.start.x, 1)
self.assertEqual(s.start.y, 2)
self.assertEqual(s.end.x, 3)
self.assertEqual(s.end.y, 4)
def test_is_point_on_same_line(self):
s = Segment.from_coordinates(0, 0, 0, 2)
self.assertFalse(s.is_point_on_same_line(1, 2))
self.assertFalse(s.is_point_on_same_line(Point(1, 2)))
self.assertFalse(s.is_point_on_same_line(Point(3, 4)))
self.assertTrue(s.is_point_on_same_line(0, 99))
self.assertTrue(s.is_point_on_same_line(0, -999))
self.assertTrue(s.is_point_on_same_line(Point(0, 4)))
s = Segment.from_coordinates(3, 0, 3, 2)
self.assertFalse(s.is_point_on_same_line(1, 2))
self.assertFalse(s.is_point_on_same_line(Point(1, 2)))
self.assertTrue(s.is_point_on_same_line(3, 72))
self.assertTrue(s.is_point_on_same_line(3, 0))
s = Segment.from_coordinates(0, 0, 1, 1)
self.assertFalse(s.is_point_on_same_line(1, 2))
self.assertFalse(s.is_point_on_same_line(Point(1, 3)))
self.assertFalse(s.is_point_on_same_line(Point(-3, 3)))
self.assertTrue(s.is_point_on_same_line(3, 3))
self.assertTrue(s.is_point_on_same_line(-3, -3))
self.assertTrue(s.is_point_on_same_line(0, 0))
