def test_matrix():
a = Matrix([[1, 2, 0],[0, 1, 3]])
b = Matrix([[1, 1, 1], [1, 0, 0], [2, 2, 1]])
assert a.num_columns == 3
assert b.num_columns == 3
assert a.num_rows == 2
assert b.num_rows == 3
assert a.order == (2, 3)
assert b.order == (3, 3)
assert a.is_square == False
assert b.is_square == True
assert a.columns == [[1, 0], [2, 1], [0, 3]]
assert b.columns == [[1, 1, 2], [1, 0, 2], [1, 0, 1]]
assert a.identity_columns() == Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
assert b.identity_columns() == Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
assert a.identity_rows() == Matrix([[1, 0], [0, 1]])
a.transpose()
assert a == Matrix([[1, 0], [2, 1], [0, 3]])
a.transpose()
assert a * b == Matrix([[3, 1, 1], [7, 6, 3]])
assert a * 2 == Matrix([[2, 4, 0], [0, 2, 6]])
assert (a==b) == False
assert a != b
assert - a == Matrix([[-1, -2, 0], [0, -1, -3]])
c = Matrix([[1, 2, 0],[0, 1, 3]])
assert a + c == Matrix([[2, 4, 0], [0, 2, 6]])
assert a - c == Matrix([[0, 0, 0], [0, 0, 0]])
c.add_row([0, 1, 1])
assert c.rows[-1] == [0, 1, 1]
c.add_column([0, 1, 2])
assert c.columns[-1] == [0, 1, 2]
c.add_row([0, 0, 2, 6], 1)
c.sort_by_zero()
assert c == Matrix([[1, 2, 0, 0], [0, 1, 3, 1], [0, 1, 1, 2], [0, 0, 2, 6]])
c.to_one_in_first_no_zero(3)
assert c.rows[3] == [0, 0, 1, 3]
log.info(b.__str__())
b.elementary_transformation(0, 2, 0)
log.info(b.__str__())
assert b.rows[2] == [0, 0, -1]
d = Matrix([[0, 0, 1, 0], [0, 0, 2, 0]], mod=5)
d.elementary_transformation(0, 1, 2)
assert d.rows[1] == [0, 0, 0, 0]
class test_matrix(unittest.TestCase):
def setUp(self):
self.matrix = Matrix(1, 2, 3, 4)
self.matrix2 = Matrix(1, 2, 3, 4, 5, 6, 7, 8, 9)
self.matrix3 = Matrix(3, 4, 5, 6)
self.matrix0 = Matrix()
def test_init(self):
self.assertEqual((self.matrix0).__str__(), 'Matrix 0x0:\n\n')
def test_add_matrixes(self):
self.assertRaises(WrongMatrix, Matrix.__add__, self.matrix,
self.matrix2)
def test_add_matrixes2(self):
self.assertEqual(
Matrix(5, 5, 5, 5).__str__(),
(self.matrix + Matrix(4, 3, 2, 1)).__str__())
def test_radd_number(self):
self.assertEqual(
Matrix(2, 3, 4, 5).__str__(), (self.matrix + 1).__str__())
def test_rsub(self):
self.assertNotEqual(Matrix(0, 1, 2, 10), self.matrix - 1)
def test_rmul_(self):
self.assertEqual(
Matrix(9, 9, 21, 21).__str__(), (self.matrix * 3).__str__())
def test_sub(self):
self.assertEqual(
Matrix(0, 1, 2, 3).__str__(), (1 - self.matrix).__str__())
self.assertRaisesRegex(WrongMatrix,
"Wrong matrices. Must be the same size.",
Matrix.__sub__, self.matrix, self.matrix2)
def test_mul_matrixes(self):
self.assertEqual(
Matrix(517, 65, 1467, 153).__str__(),
(self.matrix * Matrix(433, 23, 42, 21)).__str__())
def test_zero_matrix(self):
self.assertIn('0', (self.matrix * 0).__str__())
def test_str(self):
self.assertIsInstance(self.matrix.__str__(), str)
class TestMatrix(unittest.TestCase):
# ToDo: Implement method
def setUp(self):
self.matrix_a = Matrix(dims=(3, 2))
self.fill_b_value = 5
self.matrix_b = Matrix(dims=(2, 3), fill=self.fill_b_value)
self.matrix_c = Matrix(dims=(3, 2), fill="random")
self.fill_d_value = -4
self.matrix_d = Matrix(dims=(2, 3), fill=self.fill_d_value)
self.fill_e_value = 3
self.matrix_e = Matrix(dims=(2, 3), fill=self.fill_e_value)
self.matrix_f = Matrix(dims=(2, 3), fill=self.fill_e_value)
self.scalar_a = 11
self.scalar_b = -5
self.fill_g_value = -3.3
self.matrix_g = Matrix(dims=(3, 2), fill=self.fill_g_value)
pass
# ToDo:
def tearDown(self):
pass
def test_constructor_fill_constant_number(self):
self.assertEqual(self.matrix_a.rows, 3)
self.assertEqual(self.matrix_a.cols, 2)
self.assertAlmostEqual(self.matrix_a[0, 0], 0)
self.assertAlmostEqual(self.matrix_a[0, 1], 0)
self.assertAlmostEqual(self.matrix_b[0, 0], 5)
self.assertAlmostEqual(self.matrix_b[1, 1], 5)
def test_constructor_fill_random_numbers(self):
self.assertEqual(self.matrix_c.rows, 3)
self.assertEqual(self.matrix_c.cols, 2)
self.assertGreaterEqual(self.matrix_c[0, 0], -0.5)
self.assertLessEqual(self.matrix_c[0, 0], +0.5)
self.assertNotEqual(self.matrix_c[0, 0], self.matrix_c[1, 1])
self.assertGreaterEqual(self.matrix_c[0, 1], -0.5)
self.assertLessEqual(self.matrix_c[0, 1], +0.5)
self.assertGreaterEqual(self.matrix_c[2, 1], -0.5)
self.assertLessEqual(self.matrix_c[2, 1], +0.5)
def test_add_scalar(self):
addition_matrix = self.matrix_b + self.scalar_a
expected_result_value = self.fill_b_value + self.scalar_a
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[0, 1], expected_result_value)
self.assertEqual(addition_matrix[0, 2], expected_result_value)
self.assertEqual(addition_matrix[1, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
self.assertEqual(addition_matrix[1, 2], expected_result_value)
addition_matrix = self.matrix_b + self.scalar_b
expected_result_value = self.fill_b_value + self.scalar_b
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[0, 1], expected_result_value)
self.assertEqual(addition_matrix[0, 2], expected_result_value)
self.assertEqual(addition_matrix[1, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
self.assertEqual(addition_matrix[1, 2], expected_result_value)
def test_add_matrix(self):
addition_matrix = self.matrix_b + self.matrix_d
expected_result_value = self.fill_b_value + self.fill_d_value
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
addition_matrix = self.matrix_b + self.matrix_e
expected_result_value = self.fill_b_value + self.fill_e_value
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
def test_radd_scalar(self):
addition_matrix = self.scalar_a + self.matrix_b
expected_result_value = self.fill_b_value + self.scalar_a
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[0, 1], expected_result_value)
self.assertEqual(addition_matrix[0, 2], expected_result_value)
self.assertEqual(addition_matrix[1, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
self.assertEqual(addition_matrix[1, 2], expected_result_value)
addition_matrix = self.scalar_b + self.matrix_b
expected_result_value = self.fill_b_value + self.scalar_b
self.assertEqual(addition_matrix[0, 0], expected_result_value)
self.assertEqual(addition_matrix[0, 1], expected_result_value)
self.assertEqual(addition_matrix[0, 2], expected_result_value)
self.assertEqual(addition_matrix[1, 0], expected_result_value)
self.assertEqual(addition_matrix[1, 1], expected_result_value)
self.assertEqual(addition_matrix[1, 2], expected_result_value)
def test_equal(self):
# wrong size
self.assertFalse(self.matrix_a == self.matrix_b)
# wrong values
self.assertFalse(self.matrix_b == self.matrix_d)
# wrong data type
self.assertFalse(self.matrix_a == self.scalar_b)
# correct test
self.assertTrue(self.matrix_e == self.matrix_f)
def test_str(self):
expected_string = "[ 5.000 5.000 5.000 ]\n"
expected_string += "[ 5.000 5.000 5.000 ]\n"
self.assertEqual(self.matrix_b.__str__(), expected_string)
def test_get_item(self):
self.assertEqual(self.matrix_b[0, 0], self.fill_b_value)
self.assertEqual(self.matrix_d[1, 1], self.fill_d_value)
self.assertEqual(self.matrix_e[1, 2], self.fill_e_value)
def test_set_item(self):
val = -14.4
self.matrix_a[0, 0] = val
self.matrix_a[1, 1] = val
self.assertEqual(self.matrix_a[0, 0], val)
self.assertEqual(self.matrix_a[1, 1], val)
def test_sub_scalar(self):
result_matrix = self.matrix_b - self.scalar_a
result_value = self.fill_b_value - self.scalar_a
# is matrix_b unchanged?
self.assertEqual(self.matrix_b[0, 0], self.fill_b_value)
self.assertEqual(self.matrix_b[1, 1], self.fill_b_value)
# is result matrix correct?
self.assertEqual(result_matrix[0, 0], result_value)
self.assertEqual(result_matrix[1, 1], result_value)
def test_sub_matrix(self):
result_matrix = self.matrix_b - self.matrix_d
result_value = self.fill_b_value - self.fill_d_value
# are both matrices unchanged?
self.assertEqual(self.matrix_b[0, 0], self.fill_b_value)
self.assertEqual(self.matrix_b[1, 1], self.fill_b_value)
self.assertEqual(self.matrix_d[0, 0], self.fill_d_value)
self.assertEqual(self.matrix_d[1, 1], self.fill_d_value)
# is result matrix correct?
self.assertEqual(result_matrix[0, 0], result_value)
self.assertEqual(result_matrix[1, 2], result_value)
def test_rsub_scalar(self):
result_matrix = self.scalar_a - self.matrix_b
result_value = self.scalar_a - self.fill_b_value
# is matrix_b unchanged?
self.assertEqual(self.matrix_b[0, 0], self.fill_b_value)
self.assertEqual(self.matrix_b[1, 1], self.fill_b_value)
self.assertEqual(self.matrix_b[0, 0], self.fill_b_value)
self.assertEqual(result_matrix[0, 0], result_value)
self.assertEqual(result_matrix[1, 2], result_value)
def test_mul_scalar(self):
actual_result_matrix = self.matrix_b * self.scalar_a
expected_result_value = self.fill_b_value * self.scalar_a
# check values
self.assertEqual(actual_result_matrix[0, 0], expected_result_value)
self.assertEqual(actual_result_matrix[1, 1], expected_result_value)
# tests matrix multiplication, too.
def test_mul_matrix(self):
actual_result_matrix = self.matrix_b * self.matrix_g
expected_result_value = self.fill_b_value * self.fill_g_value * 3
# check size of matrix
self.assertEqual(actual_result_matrix.cols, self.matrix_g.cols)
self.assertEqual(actual_result_matrix.rows, self.matrix_b.rows)
# check values
self.assertEqual(actual_result_matrix[0, 0], expected_result_value)
self.assertAlmostEqual(actual_result_matrix[1, 1], expected_result_value)
def test_rmul_scalar(self):
actual_result_matrix = self.scalar_a * self.matrix_b
expected_result_value = self.scalar_a * self.fill_b_value
# check values
self.assertEqual(actual_result_matrix[0, 0], expected_result_value)
self.assertEqual(actual_result_matrix[1, 1], expected_result_value)
def test_transpose(self):
actual_result_matrix = self.matrix_c.transpose()
expected_result_matrix_cols = self.matrix_c.rows
expected_result_matrix_rows = self.matrix_c.cols
# check right size of result matrix
self.assertEqual(actual_result_matrix.rows, expected_result_matrix_rows)
self.assertEqual(actual_result_matrix.cols, expected_result_matrix_cols)
# check right values of result matrix
for i in range(actual_result_matrix.rows):
for j in range(actual_result_matrix.cols):
self.assertEqual(actual_result_matrix[i, j], self.matrix_c[j, i])
def test_static_of(self):
input_list = [12.12, 11.1, -0.3]
actual_result_matrix = Matrix.of(input_list)
# check correct size
self.assertEqual(actual_result_matrix.rows, 1)
self.assertEqual(actual_result_matrix.cols, len(input_list))
# check correct values
for i in range(len(input_list)):
self.assertEqual(actual_result_matrix[0, i], input_list[i])