def test_distance_of_1_0_from_slope_45degrees_yintercept_is_zero(self):
x = LineModel(-1, 1, 0)
test_point = Point(1, 0)
distance_actual = x.compute_distance(test_point)
distance_expected = 1 / math.sqrt(2)
self.assertEqual(distance_actual, distance_expected)
pass
def test_distance_of_0_0_from_flat_line_yintercept_is_zero(self):
x = LineModel(0, 1, -3)
test_point = Point(0, 0)
distance_actual = x.compute_distance(test_point)
distance_expected = 3
self.assertEqual(distance_actual, distance_expected)
pass
def test_distance_of_origin_from_slope_45degrees_yintercept_is_zero(self):
x = LineModel(-1, 1, 0)
test_origin = Point(0, 0)
distance_actual = x.compute_distance(test_origin)
distance_expected = 0
self.assertEqual(distance_actual, distance_expected)
pass
def test_x_y_intercept_0_degrees_inf_5(self):
line = LineModel(0, 1, -5)
xintercept_actual = line.xintercept()
xintercept_expected = math.inf
yintercept_actual = line.yintercept()
yintercept_expected = 5
self.assertEqual(xintercept_actual, xintercept_expected)
self.assertEqual(yintercept_actual, yintercept_expected)
def test_x_y_intercept_90_degrees_5_inf(self):
line = LineModel(1, 0, -5)
xintercept_actual = line.xintercept()
xintercept_expected = 5
yintercept_actual = line.yintercept()
yintercept_expected = math.inf
self.assertEqual(xintercept_actual, xintercept_expected)
self.assertEqual(yintercept_actual, yintercept_expected)
def test_x_y_intercept_45_degrees_1_0(self):
line = LineModel(-1, 1, 1)
xintercept_actual = line.xintercept()
xintercept_expected = 1
yintercept_actual = line.yintercept()
yintercept_expected = -1
self.assertEqual(xintercept_actual, xintercept_expected)
self.assertEqual(yintercept_actual, yintercept_expected)
def test_generate_points_from_line_45_degrees_passing_through_0_0(self):
line = LineModel(-1, 1, 0)
x1 = 20
x2 = 40
y1 = 10
y2 = 30
new_points = LineModel.generate_points_from_line(line, x1, y1, x2, y2)
for p in new_points:
print("Testing point=%s" % (p))
self.assertTrue(p.X >= x1)
self.assertTrue(p.X <= x2)
def test_generate_points_from_line_90_degrees_passing_through_5_0(self):
line = LineModel(1, 0, -5)
x1 = 20
x2 = 40
y1 = 10
y2 = 30
new_points = LineModel.generate_points_from_line(line, x1, y1, x2, y2)
for p in new_points:
print("Testing point=%s" % (p))
self.assertTrue(p.Y >= y1)
self.assertTrue(p.Y <= y2)
def test_generate_points_at_regular_intervals_stline(self):
start_x = 0
start_y = 1
end_x = 10
end_y = 11
model = LineModel.create_line_from_2points(start_x, start_y, end_x,
end_y)
slope = -model.A / model.B
yintercept = -model.C / model.B
gap = 5
new_points = LineModel.generate_points_at_regular_intervals_stline(
start_x, start_y, end_x, end_y, gap)
count_of_new_points = len(new_points)
self.assertTrue(count_of_new_points > 0)
self.assertTrue(count_of_new_points < 4)
for new_point in new_points:
new_x = new_point.X
new_y = new_point.Y
expected_y = slope * new_x + yintercept
self.assertAlmostEqual(new_y, expected_y)
def test_create_line_from_start_and_end_vertical_line(self):
start_x = 1
start_y = 5
end_x = 1
end_y = 25
model = LineModel.create_line_from_2points(start_x, start_y, end_x,
end_y)
expected_B = 0
expected_x_intercept = start_x
self.assertAlmostEqual(model.B, 0)
self.assertAlmostEqual(model.C / model.A, -expected_x_intercept)
def test_create_line_from_start_and_end_horizontal_line(self):
start_x = 0
start_y = 1
end_x = 1
end_y = 2
model = LineModel.create_line_from_2points(start_x, start_y, end_x,
end_y)
#equation ax+by+c=0
#slope=-a/b
#yinter=-c/b
expected_slope = 1
expected_y_intercept = 1
self.assertAlmostEqual(model.A / model.B, -expected_slope)
self.assertAlmostEqual(model.C / model.B, -expected_y_intercept)
def test_construction(self):
x = LineModel(100, 200, 300)
self.assertEqual(x.A, 100)
self.assertEqual(x.B, 200)
self.assertEqual(x.C, 300)
pass
def test_display_polar(self):
line = LineModel(-1, 1, 1)
s = line.display_polar()
print(s)