def test_orthogonal_ND(self):
"""Test that the function returns an orthogonal vector for N-Dimentional Vectors."""
test_vectors = [(1, 3, 5, 0, 2), (1, 1, 1, 1, 1, 1, 1, 1, 1, 1),
(-23.5, 77.9, 237591.01, 999.088888)]
for vector in test_vectors:
ortho = dotproduct.orthogonal(vector)
print(f'Vector: {vector}, Ortho: {ortho}')
self.assertEqual(dotproduct.calculate(vector, ortho), 0)
def test_orthogonal_3D(self):
"""Test that the function returns an orthogonal vector if a 3-D Vector is passed in."""
test_vectors = [(0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 0),
(1, 0, 1), (0, 1, 1), (1, 1, 1)]
for vector in test_vectors:
ortho = dotproduct.orthogonal(vector)
print(f'Vector: {vector}, Ortho: {ortho}')
self.assertEqual(dotproduct.calculate(vector, ortho), 0)
def test_orthogonal_2D(self):
"""Test that the function returns an orthogonal vector if a 2-D Vector is passed in."""
test_vectors = [(1, 1), (1, 0), (3, -5), (9, 9), (-1, -1), (0, 0),
(0, 1), (234.5, -0.666)]
for vector in test_vectors:
ortho = dotproduct.orthogonal(vector)
print(f'Vector: {vector}, Ortho: {ortho}')
self.assertEqual(dotproduct.calculate(vector, ortho), 0)
def test_calculate_examples(self):
"""Test arbitrary examples of dot products."""
a = (2, 3, 5)
b = (1, 0, 0)
a_b = 2
self.assertEqual(a_b, dotproduct.calculate(a, b))
c = (0, 1, 0)
a_c = 3
self.assertEqual(a_c, dotproduct.calculate(a, c))
d = (0, 0, 1)
a_d = 5
self.assertEqual(a_d, dotproduct.calculate(a, d))
e = (5, 2, 3)
a_e = 31
self.assertEqual(a_e, dotproduct.calculate(a, e))
def test_calculate_null(self):
"""Test that the dot product of two null vectors is zero. Expects Tuples, returns float."""
a = (0, 0)
b = (0, 0)
self.assertEqual(0, dotproduct.calculate(a, b))
def test_calculate_invalid_vector(self):
"""Test that the method returns None if vectors contain invalid elements."""
a = (2, 3, 5)
b = (7, 11, 'a')
self.assertEqual(dotproduct.calculate(a, b), None)
def test_calculate_vector_missmatch(self):
"""Test that the method returns None if vectors of different length are passed in."""
a = (2, 3, 5)
b = (7, 11, 13, 17)
self.assertEqual(dotproduct.calculate(a, b), None)
def test_calculate_commutivity(self):
"""The dot product is commutable. a dot b = b dot a"""
a = (2, 3, 5, 7)
b = (1, 1, 2, 3)
self.assertEqual(dotproduct.calculate(a, b),
dotproduct.calculate(b, a))
def test_calculate_antiparallel(self):
"""Test that anti-parallel vectors result in the negative of the sum of the vector's components."""
a = (2, 3, 5)
a_neg = (-2, -3, -5)
a_a_neg = -1 * (2 * 2 + 3 * 3 + 5 * 5)
self.assertEqual(a_a_neg, dotproduct.calculate(a, a_neg))
def test_calculate_parallel(self):
"""Test that parallel vectors result in the sum of squares of the vector's components."""
a = (2, 3, 5)
a2 = 2 * 2 + 3 * 3 + 5 * 5
self.assertEqual(a2, dotproduct.calculate(a, a))
def test_calculate_orthogonal(self):
"""Test that orthogonal vectors result in a zero product."""
a = (1, 0)
b = (0, 1)
self.assertEqual(0, dotproduct.calculate(a, b))