def test_append_column(self):
m = create_square_matrix(2)
m.append_column(parse_matrix("1 2").transpose())
self.assertEqual(m.size.height, 2)
self.assertEqual(m.size.width, 3)
self.assertEqual(m.get(1, 3), 1)
self.assertEqual(m.get(2, 3), 2)
def test_copy(self):
a = parse_matrix("1 2;3 4")
b = a.copy()
self.assertEqual(b, a)
b.set(1, 1, 3)
self.assertNotEqual(b, a)
def test_append_column_to_empty_matrix(self):
m = create_matrix(0, 0)
m.append_column(parse_matrix("1;2"))
self.assertEqual(m.size.height, 2)
self.assertEqual(m.size.width, 1)
self.assertEqual(m.get(1, 1), 1)
self.assertEqual(m.get(2, 1), 2)
def test_parse_1x3_matrix(self):
m = parse_matrix("5 4 3")
self.assertEqual(m.size.height, 1)
self.assertEqual(m.size.width, 3)
self.assertEqual(m.get(1, 1), 5)
self.assertEqual(m.get(1, 2), 4)
self.assertEqual(m.get(1, 3), 3)
def test_parse_2x2_matrix(self):
m = parse_matrix("1 2;3 4")
self.assertEqual(m.size.height, 2)
self.assertEqual(m.size.width, 2)
self.assertEqual(m.get(1, 1), 1)
self.assertEqual(m.get(1, 2), 2)
self.assertEqual(m.get(2, 1), 3)
self.assertEqual(m.get(2, 2), 4)
def test_mxn_nxm_multiplication(self):
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
c = parse_matrix("19 22;43 50")
self.assertEqual(c, a * b)
def test_diagonal_matrix(self):
a = parse_matrix("1 2 3;4 5 6;7 8 9")
expected_matrix = parse_matrix("1 0 0;0 5 0;0 0 9")
self.assertEqual(expected_matrix, a.diagonal_matrix())
def test_get_column(self):
self.assertEqual(parse_matrix("2;4"), parse_matrix("1 2;3 4").get_column(2))
def test_multiplication_with_identity_matrix(self):
# a * I = a
a = parse_matrix("1 2 3;4 5 6;7 8 9")
I = create_identity_matrix(3)
self.assertEqual(a, a * I)
self.assertEqual(a, I * a)
def test_multiplication_with_scalar_commutative_law(self):
a = parse_matrix("1 2;3 4")
self.assertEqual(a * 5, 5 * a)
def test_multiplication_commutative_law(self):
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
self.assertNotEqual(a * b, b * a)
def test_subtraction_from_right(self):
# a-b=c
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
c = parse_matrix("-4 -4;-4 -4")
self.assertEqual(c, a - b)
def add():
parse_matrix("1 2;3 4") + parse_matrix("1 2 3;4 5 6")
def add():
parse_matrix("1 2;3 4") + 5
def test_addition_commutative_law(self):
# a+b=b+a
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
self.assertEqual(a + b, b + a)
def test_addition(self):
# a+b=c
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
c = parse_matrix("6 8;10 12")
self.assertEqual(c, a + b)
def test_axn_nxb_multiplication(self):
a = parse_matrix("1 2 3;4 5 6")
b = parse_matrix("7 8 9 10;11 12 13 14;15 16 17 18")
c = parse_matrix("74 80 86 92;173 188 203 218")
self.assertEqual(c, a * b)
def test_subtraction_from_left(self):
# b-a=c
b = parse_matrix("5 6;7 8")
a = parse_matrix("1 2;3 4")
c = parse_matrix("4 4;4 4")
self.assertEqual(c, b - a)
def multiply():
parse_matrix("1 2 3") * parse_matrix("1 2 3")
def test_subtraction_is_not_commutative(self):
# a-b!=b-a
a = parse_matrix("1 2;3 4")
b = parse_matrix("5 6;7 8")
self.assertNotEqual(a - b, b - a)
def test_multiplication_with_scalar(self):
a = parse_matrix("1 2;3 4")
self.assertEqual(parse_matrix("5 10;15 20"), a * 5)
def sub():
parse_matrix("1 2;3 4") - 5
def multiply():
parse_matrix("1") * "2"
def sub():
parse_matrix("1 2;3 4") - parse_matrix("1 2 3;4 5 6")
def test_get_row(self):
self.assertEqual(parse_matrix("3 4"), parse_matrix("1 2;3 4").get_row(2))
def test_lower_triangle(self):
a = parse_matrix("1 2 3;4 5 6;7 8 9")
expected_matrix = parse_matrix("0 0 0;4 0 0;7 8 0")
self.assertEqual(expected_matrix, a.lower_triangle())
def test_append_column_with_wrong_height(self):
m = create_square_matrix(2)
self.assertRaises(ValueError, m.append_column, parse_matrix("1;2;3"))
def test_1xn_nx1_multiplication(self):
a = parse_matrix("1 2 3")
b = parse_matrix("4 5 6").transpose()
c = parse_matrix("32")
self.assertEqual(c, a * b)
def test_transpose_row(self):
self.assertEqual(parse_matrix("1;2;3"), parse_matrix("1 2 3").transpose())
def test_parse_1x1_matrix(self):
m = parse_matrix("5")
self.assertEqual(m.size.height, 1)
self.assertEqual(m.size.width, 1)
self.assertEqual(m.get(1, 1), 5)