def test_axpy(self):
"""
test for the global function axpy(...) (operation)
"""
x = Vector([1, 2, 3])
y = Vector([1, 0, 1])
self.assertEqual(str(axpy(2, x, y)), "(3,4,7)")
def test_magnitude(self):
vector1 = Vector([3,4])
self.assertEqual(vector1.magnitude(), 5)
vector2 = Vector([8,15])
self.assertEqual(vector2.magnitude(), 17)
def test_copy(self):
"""
test for the copy()-method
"""
x = Vector([1, 0, 0, 0, 0, 0])
y = x.copy()
self.assertEqual(str(x), str(y))
def test_component(self):
"""
test for method component
"""
x = Vector([1, 2, 3])
self.assertEqual(x.component(0), 1)
self.assertEqual(x.component(2), 3)
_ = Vector()
def test_direction(self):
vector1 = Vector([1,2,3])
direction = vector1.direction()
self.assertEqual(direction.coordinates[0], 0.2672612419124244)
self.assertEqual(direction.coordinates[1], 0.5345224838248488)
self.assertEqual(direction.coordinates[2], 0.8017837257372732)
def test_changeComponent(self):
"""
test for the changeComponent(...)-method
"""
x = Vector([1, 0, 0])
x.changeComponent(0, 0)
x.changeComponent(1, 1)
self.assertEqual(str(x), "(0,1,0)")
def test_add(self):
first_vector = Vector([1,2,3])
second_vector = Vector([2,2,3])
third_vector = first_vector.add(second_vector)
self.assertEqual(third_vector.coordinates[0], 3)
self.assertEqual(third_vector.coordinates[1], 4)
self.assertEqual(third_vector.coordinates[2], 6)
def test_subtract(self):
first_vector = Vector([1,2,3])
second_vector = Vector([2,2,3])
third_vector = first_vector.subtract(second_vector)
self.assertEqual(third_vector.coordinates[0], -1)
self.assertEqual(third_vector.coordinates[1], 0)
self.assertEqual(third_vector.coordinates[2], 0)
def test_mul(self):
"""
test for * operator
"""
x = Vector([1, 2, 3])
a = Vector([2, -1, 4]) # for test of dot-product
b = Vector([1, -2, -1])
self.assertEqual(str(x * 3.0), "(3.0,6.0,9.0)")
self.assertEqual((a * b), 0)
def test_add(self):
"""
test for + operator
"""
x = Vector([1, 2, 3])
y = Vector([1, 1, 1])
self.assertEqual((x + y).component(0), 2)
self.assertEqual((x + y).component(1), 3)
self.assertEqual((x + y).component(2), 4)
def test_sub(self):
"""
test for - operator
"""
x = Vector([1, 2, 3])
y = Vector([1, 1, 1])
self.assertEqual((x - y).component(0), 0)
self.assertEqual((x - y).component(1), 1)
self.assertEqual((x - y).component(2), 2)
def test_scalar_multiply(self):
original_vector = Vector([4,5,6])
scalar = 2
new_vector = original_vector.scalar_multiply(2)
self.assertEqual(new_vector.coordinates[0], 8)
self.assertEqual(new_vector.coordinates[1], 10)
self.assertEqual(new_vector.coordinates[2], 12)
def test_component(self):
"""
test for method component
"""
x = Vector([1, 2, 3])
self.assertEqual(x.component(0), 1)
self.assertEqual(x.component(2), 3)
try:
y = Vector()
self.assertTrue(False)
except:
self.assertTrue(True)
def test_dot_product(seld):
vector1 = Vector([7,887, 4.138])
vector2 = Vector([-8.802, 6.776])
dot_product = vector1.dot_product(vector2)
def test_euclidLength(self):
"""
test for the eulidean length
"""
x = Vector([1, 2])
self.assertAlmostEqual(x.eulidLength(), 2.236, 3)
def test_size(self):
"""
test for size()-method
"""
x = Vector([1, 2, 3, 4])
self.assertEqual(len(x), 4)
def test_str(self):
"""
test for toString() method
"""
x = Vector([0, 0, 0, 0, 0, 1])
self.assertEqual(str(x), "(0,0,0,0,0,1)")
def test__mul__matrix(self):
A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3, 3)
x = Vector([1, 2, 3])
self.assertEqual("(14,32,50)", str(A * x))
self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n", str(A * 2))