def setUp(self):
self.zero = Rational(0, 1)
self.neg_zero = Rational(0, -1)
self.one_third = Rational(1, 3)
self.two_fifth = Rational(2, 5)
self.invalidCases = [(0, 0), (1, 0), (-1, 0), (0, -0), (-0, 0),
(-0, -0)]
self.cases = {
(0, 1): (0, 1),
(1, 1): (1, 1),
(2, 1): (2, 1),
(-3, 1): (-3, 1),
(0, 2): (0, 1),
(-0, 3): (-0, 1),
(1, 2): (1, 2),
(2, -2): (-1, 1),
(3, 2): (3, 2),
(-0, -3): (0, 1),
(1, 3): (1, 3),
(2, 3): (2, 3),
(-6, 3): (-2, 1),
(2, 4): (1, 2),
(6, -4): (-3, 2),
(35, 45): (7, 9),
(-64, -16): (4, 1),
(27, 33): (9, 11),
(18, 108): (1, 6)
}
def test_simplify_result(self):
for key, val in self.cases.items():
with self.subTest(key=key):
rat = Rational(key[0], key[1])
self.assertEqual(rat.a, val[0])
self.assertEqual(rat.b, val[1])
with self.subTest(key="0.376f"):
self.assertTrue(Rational(0.376), Rational(376, 1000))
def test_getitem_result(self):
for key, val in self.cases.items():
with self.subTest(val=val):
rat = Rational(*key)
self.assertEqual(rat["a"], val[0])
self.assertEqual(rat["b"], val[1])
self.assertEqual(rat[0], val[0])
self.assertEqual(rat[1], val[1])
def test_is_valid(self):
with self.subTest(type="sub pos"):
self.assertFalse(Monoid(self.nums, self.sub))
with self.subTest(type="add pos"):
self.assertTrue(Monoid(self.nums, self.add))
with self.subTest(type="mul rational w/o zero and 1/2"):
self.assertTrue(
Monoid(self.rationals_wo_zero.difference((Rational(1, 2), )),
self.mul))
def test_and_ValueError(self):
# (a, b) --> (1, 3) & (a, b)
for el in [(17, -23), (18, -20)]:
with self.subTest(val=el):
with self.assertRaises(ValueError):
self.one_third & Rational(*el)
def test_and(self):
#((a, b), (c, d)) --> (1, 3) & (a, b) = (c, d)
for el in [((2, 3), (3, 6)), ((7, 15), (8, 18))]:
with self.subTest(val=el):
self.assertEqual(self.one_third & Rational(*el[0]),
Rational(*el[1]))
def test_mod(self):
#((a, b), (c, d)) --> (1, 3) mod (a, b) = (c, d)
for el in [((2, 3), (1, 3)), ((-2, 3), (-1, 3)), ((1, 6), (0, 1))]:
with self.subTest(val=el):
self.assertEqual(self.one_third % Rational(*el[0]),
Rational(*el[1]))
def test_pow(self):
#(a, (b, c)) --> (1, 3) ** a = (b, c)
for el in [(2, (1, 9)), (-1, (3, 1)), (0, (1, 1))]:
with self.subTest(val=el):
self.assertEqual(self.one_third**el[0], Rational(*el[1]))
def test_truediv(self):
#((a, b), (c, d)) --> (1, 3) * (a, b) = (c, d)
for el in [((2, 3), (3, 6)), ((-2, 3), (-3, 6)), ((5, 7), (7, 15))]:
with self.subTest(val=el):
self.assertEqual(self.one_third / Rational(*el[0]),
Rational(*el[1]))
def test_mul(self):
#((a, b), (c, d)) --> (1, 3) * (a, b) = (c, d)
for el in [((2, 3), (2, 9)), ((-2, 3), (-2, 9)), ((5, 7), (5, 21))]:
with self.subTest(val=el):
self.assertEqual(self.one_third * Rational(*el[0]),
Rational(*el[1]))
def test_le_representation(self):
for el in [(3, 1), (2, 3), (-10, -29), (1, 2), (0.672, 1), (1, 3),
(-2, -6)]:
with self.subTest(val=el):
self.assertTrue(self.one_third <= Rational(*el))
def test_neq_representation(self):
for el in [(3, 1), (2, -6), (-3, 9), (-3, 9), (1, 5), (0, 3),
(0.5, 1)]:
with self.subTest(val=el):
self.assertTrue(self.one_third != Rational(*el))
def test_eq_representation(self):
for el in [(2, 6), (3, 9), (-3, -9)]:
with self.subTest(val=el):
self.assertTrue(self.one_third == Rational(*el))
def test_hash_representation(self):
for el in [(2, 6), (3, 9), (-3, -9)]:
with self.subTest(val=el):
self.assertTrue(hash(self.one_third) == hash(Rational(*el)))
def test_init_ValueError(self):
for el in self.invalidCases:
with self.subTest(val=el):
with self.assertRaises(ValueError):
Rational(*el)
def test_neg(self):
# (a, b) --> -(a, b)
for el in [((2, 3), (-2, 3)), ((3, 6), (-3, 6)), ((-7, 15), (7, 15)),
((-8, -18), (-8, 18))]:
with self.subTest(val=el):
self.assertEqual(-Rational(*el[0]), Rational(*el[1]))
def __test_performance_rational__(op, op_int):
for k, j, i, l in combinations(range(-n // 2, n // 2), 4):
if not j or not l or not k or not i: continue
op(Rational(k, j), Rational(i, l))
"""
def test_sub(self):
#((a, b), (c, d)) --> (1, 3) - (a, b) = (c, d)
for el in [((2, 3), (-1, 3)), ((-2, 3), (1, 1)), ((7, 9), (-4, 9))]:
with self.subTest(val=el):
self.assertEqual(self.one_third - Rational(*el[0]),
Rational(*el[1]))