def test_pow(self) -> None:
for i in range(3):
for j in range(3):
for k in range(3):
self.assertEqual(
rational(i, j)**natural_number(k),
rational(i**k, j**k))
def test_truediv(self) -> None:
for i in range(-2, 2):
for j in range(-2, 2):
for k in range(-2, 2):
for m in range(-2, 2):
self.assertEqual(
rational(i, j) / rational(k, m),
rational(i * m, j * k))
def test_mul(self) -> None:
for i in range(-2, 2):
for j in range(-2, 2):
for k in range(-2, 2):
for m in range(-2, 2):
self.assertEqual(
rational(i, j) * rational(k, m),
rational(i * k, j * m))
def test_le(self) -> None:
for i in range(-2, 2):
for j in range(-2, 2):
for k in range(-2, 2):
for m in range(-2, 2):
# if j * m == 0:
# continue
self.assertEqual(
rational(i, j) < rational(k, m), (i * m) < (k * j))
def test_sub(self) -> None:
for i in range(-2, 2):
for j in range(-2, 2):
for k in range(-2, 2):
for m in range(-2, 2):
# if j * m == 0:
# continue
self.assertEqual(
rational(i, j) - rational(k, m),
rational(i * m - j * k, j * m),
)
def test_hash(self) -> None:
self.assertEqual(
len(
set(
hash(rational(i, j)) for j in range(-5, 5)
for i in range(-5, 5))),
100,
)
def test_bool(self) -> None:
for i in range(-5, 5):
for j in range(-5, 5):
self.assertEqual(bool(rational(i, j)), bool(i))
def test_bigmul(self) -> None:
self.assertEqual(
rational(9, 2) * rational(9, 2), rational(9 * 9, 2 * 2))
def test_eq(self) -> None:
for i in range(-4, 4):
for j in range(-4, 4):
self.assertEqual(rational(i, j),
Rational(integer(i), integer(j)))
def test_abs(self) -> None:
for i in range(5):
for j in range(5):
self.assertEqual(abs(rational(i, j)), rational(abs(i), abs(j)))
def test_pos(self) -> None:
for i in range(5):
for j in range(5):
self.assertEqual(+rational(i, j), rational(+i, +j))
def test_str(self) -> None:
for i in range(-5, 5):
for j in range(-5, 5):
self.assertEqual(str(rational(i, j)), f"{str(i)}/{str(j)}")