def test_can_check_linear_dependence(self, mock_span):
vector = Vector(3, 4)
v2, v3 = Mock(Vector), Mock(Vector)
mock_span.return_value = [vector]
self.assertTrue(vector.linearly_dependent_on(v2, v3))
mock_span.assert_called_with(v2, v3)
mock_span.return_value = []
self.assertFalse(vector.linearly_dependent_on(v2, v3))
def test_can_get_angle_between_vectors(self, mock_dot, mock_mag):
mock_dot.return_value = 1
mock_mag.return_value = 4
vector1 = Vector(7, 1)
vector2 = Mock(Vector)
vector2.magnitude.return_value = 0.5
vector2.length.return_value = 2
self.assertAlmostEqual(vector1.angle_with(vector2), 1.0471, delta=0.0005)
def test_can_check_linear_independence(self, mock_dep):
mock_dep.return_value = True
vector = Vector(3, 4)
v2, v3 = Mock(Vector), Mock(Vector)
self.assertFalse(vector.linearly_independent_of(v2, v3))
mock_dep.assert_called_with(v2, v3)
mock_dep.return_value = False
self.assertTrue(vector.linearly_independent_of(v2, v3))
mock_dep.assert_called_with(v2, v3)
def test_can_get_distance_between_vectors(self, mock_sub):
vector1 = Vector(3, 4)
vector2 = Mock(Vector)
resultant_vector = Mock(Vector)
mock_sub.return_value = resultant_vector
resultant_vector.magnitude.return_value = 100
distance = vector1.distance_to(vector2)
mock_sub.assert_called_with(vector2)
self.assertEqual(distance, 100)
def test_can_get_angle_between_vectors_when_zero(self, mock_dot, mock_mag):
mock_dot.return_value = 1
mock_mag.return_value = 0
vector1 = Vector(7, 1)
vector2 = Mock(Vector)
vector2.magnitude.return_value = 0.5
vector2.length.return_value = 2
self.assertAlmostEqual(vector1.angle_with(vector2), math.pi / 4, delta=0.0005)
vector2.magnitude.return_value = 0
mock_mag.return_value = 9
self.assertAlmostEqual(vector1.angle_with(vector2), math.pi / 4, delta=0.0005)
def test_cross_product_requires_length_3(self):
vector1 = Vector(-6, 8)
vector2 = Mock(Vector)
vector2._values = [4, 9, 2]
with self.assertRaises(ValueError):
vector1.cross(vector2)
vector1 = Vector(3, -3, 1)
vector2._values = [4, 9]
with self.assertRaises(ValueError):
vector1.cross(vector2)
def test_can_add_value(self):
vector = Vector(2, 5, 1)
vector.append(12)
self.assertEqual(vector._values, [2, 5, 1, 12])
def test_can_set_vector_index(self):
vector = Vector(2, 5, 1)
vector[0] = 4
vector[1] = 6
vector[2] = 8
self.assertEqual(vector._values, [4, 6, 8])
def test_can_get_vector_len(self):
vector = Vector(2, 5, 1)
self.assertEqual(len(vector), 3)
def test_angle_requires_equal_length(self):
vector1 = Vector(-6, 8)
vector2 = Mock(Vector)
vector2.length.return_value = 3
with self.assertRaises(ValueError):
vector1.angle_with(vector2)
def test_can_get_vector_index(self):
vector = Vector(2, 5, 1)
self.assertEqual(vector[0], 2)
self.assertEqual(vector[1], 5)
self.assertEqual(vector[2], 1)
def test_can_insert_value(self):
vector = Vector(2, 5, 1)
vector.insert(1, 12)
self.assertEqual(vector._values, [2, 12, 5, 1])
def test_long_vector_str(self, mock_repr):
vector = Vector(range(1, 11))
self.assertEqual(
str(vector), "<Vector [1, 2, (...6 items omitted...), 9, 10]>"
)
self.assertFalse(mock_repr.called)
def test_can_remove_value(self):
vector = Vector(2, 5, 1)
vector.remove(5)
self.assertEqual(vector._values, [2, 1])
def test_can_get_vector_components(self):
vector = Vector(3, 4)
components = vector.components()
self.assertEqual(len(components), 2)
self.assertEqual(components[0]._values, [3, 0])
self.assertEqual(components[1]._values, [0, 4])
def test_vector_repr(self):
vector = Vector(2, 5, 1)
self.assertEqual(repr(vector), "<Vector [2, 5, 1]>")
def test_can_pop_any_position(self):
vector = Vector(2, 5, 1)
val = vector.pop(1)
self.assertEqual(val, 5)
self.assertEqual(vector._values, [2, 1])
def test_can_pop_value(self):
vector = Vector(2, 5, 1)
val = vector.pop()
self.assertEqual(val, 1)
self.assertEqual(vector._values, [2, 5])
def test_can_get_span(self, mock_span):
mock_span.return_value = "SPAN"
vector = Vector(3, 4)
v2, v3 = Mock(Vector), Mock(Vector)
self.assertEqual(vector.span_with(v2, v3), "SPAN")
mock_span.assert_called_with(vector, v2, v3)
def test_can_get_dot_product(self):
vector1 = Vector(-6, 8)
vector2 = Mock(Vector)
vector2._values = [5, 12]
vector2.length.return_value = 2
self.assertEqual(vector1.dot(vector2), 66)
def test_angle_requires_vector(self):
vector1 = Vector(-6, -8)
with self.assertRaises(TypeError):
vector1.angle_with("vector")
def test_dot_product_requires_equal_length(self):
vector1 = Vector(-6, 8)
vector2 = Mock(Vector)
vector2.length.return_value = 3
with self.assertRaises(ValueError):
vector1.dot(vector2)
def test_vector_is_container(self):
vector = Vector(2, 5, 1)
self.assertIn(5, vector)
self.assertNotIn(7, vector)
def test_can_get_cross_product(self):
vector1 = Vector(3, -3, 1)
vector2 = Mock(Vector)
vector2._values = [4, 9, 2]
self.assertEqual(vector1.cross(vector2)._values, [-15, -2, 39])
def test_can_make_vector(self):
vector = Vector(2, 5, 1)
self.assertEqual(vector._values, [2, 5, 1])
def test_vector_str(self, mock_repr):
mock_repr.return_value = "xxxxx"
vector = Vector(2, 5, 1)
self.assertEqual(str(vector), "xxxxx")
self.assertTrue(mock_repr.called)
def test_cannot_set_vector_out_of_index(self):
vector = Vector(2, 5, 1)
with self.assertRaises(IndexError):
vector[3] = 9
def test_cross_product_requires_vector(self):
vector1 = Vector(-6, -8)
with self.assertRaises(TypeError):
vector1.cross("vector")
def test_vector_is_iterable(self):
vector = Vector(2, 5, 1)
self.assertEqual(list(iter(vector)), vector._values)
def test_can_get_vector_magnitude(self):
vector = Vector(3, 4)
self.assertEqual(vector.magnitude(), 5)
