def test_repr(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = Rational(numerator, denominator)
expected_repr = 'Rational({0}, {1})'.format(
expected_numerator, expected_denominator)
self.assertEqual(expected_repr, repr(r))
def test_float(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = Rational(numerator, denominator)
expected_value = expected_numerator / (expected_denominator *
1.0)
self.assertEqual(expected_value, float(r))
def test_rpow_zero_division_error(self):
base = 0
for denominator in range(-3, 0):
power = Rational(1, denominator)
with self.subTest(base=base, power=power):
with self.assertRaises(ZeroDivisionError):
base**power
def test_constructor_denominator_zero_division_error(self):
numerator = 1
denominator = 0
with self.subTest(numerator=numerator, denominator=denominator):
self.assertRaises(ZeroDivisionError, Rational, numerator,
denominator)
numerator = Rational()
denominator = 0
with self.subTest(numerator=numerator, denominator=denominator):
self.assertRaises(ZeroDivisionError, Rational, numerator,
denominator)
numerator = Rational()
denominator = Rational()
with self.subTest(numerator=numerator, denominator=denominator):
self.assertRaises(ZeroDivisionError, Rational, numerator,
denominator)
def test_str(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = Rational(numerator, denominator)
if 1 == expected_denominator:
expected_str = '{0}'.format(expected_numerator)
else:
expected_str = '{0}/{1}'.format(expected_numerator,
expected_denominator)
self.assertEqual(expected_str, str(r))
def test_invert(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = ~Rational(numerator, denominator)
if 0 > expected_numerator:
expected_inverted_numerator = -expected_denominator
expected_inverted_denominator = -expected_numerator
else:
expected_inverted_numerator = expected_denominator
expected_inverted_denominator = expected_numerator
self.assertEqual(expected_inverted_numerator, r.numerator)
self.assertEqual(expected_inverted_denominator, r.denominator)
def test_rmul_type_error(self):
r = Rational()
with self.assertRaises(TypeError):
1.2 * r
def test_radd(self):
radd_test_values = [(1, Rational(1, 2), Rational(3, 2)),
(1, Rational(), Rational(1, 1)),
(-1, Rational(1, 2), Rational(-1, 2)),
(1, Rational(-1, 2), Rational(1, 2)),
(1, Rational(2, 4), Rational(3, 2)),
(1, Rational(3, 4), Rational(7, 4)),
(1, Rational(-3, 4), Rational(1, 4)),
(1, Rational(1, 3), Rational(4, 3))]
for r1, r2, expected_r in radd_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 + r2
self.assertEqual(expected_r, r)
def test_constructor_denominator(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = Rational(numerator, denominator)
self.assertEqual(expected_denominator, r.denominator)
def test_pow(self):
pow_test_values = [(Rational(), 0, Rational()),
(Rational(), 1, Rational()),
(Rational(), 2, Rational()),
(Rational(), 3, Rational()),
(Rational(1, 2), -3, Rational(8, 1)),
(Rational(1, 2), -2, Rational(4, 1)),
(Rational(1, 2), -1, Rational(2, 1)),
(Rational(1, 2), 0, Rational(1, 1)),
(Rational(1, 2), 1, Rational(1, 2)),
(Rational(1, 2), 2, Rational(1, 4)),
(Rational(1, 2), 3, Rational(1, 8)),
(Rational(-1, 2), -3, Rational(-8, 1)),
(Rational(-1, 2), -2, Rational(4, 1)),
(Rational(-1, 2), -1, Rational(-2, 1)),
(Rational(-1, 2), 0, Rational(1, 1)),
(Rational(-1, 2), 1, Rational(-1, 2)),
(Rational(-1, 2), 2, Rational(1, 4)),
(Rational(-1, 2), 3, Rational(-1, 8)),
(Rational(1, 3), -3, Rational(27, 1)),
(Rational(1, 3), -2, Rational(9, 1)),
(Rational(1, 3), -1, Rational(3, 1)),
(Rational(1, 3), 0, Rational(1, 1)),
(Rational(1, 3), 1, Rational(1, 3)),
(Rational(1, 3), 2, Rational(1, 9)),
(Rational(1, 3), 3, Rational(1, 27)),
(Rational(-1, 3), -3, Rational(-27, 1)),
(Rational(-1, 3), -2, Rational(9, 1)),
(Rational(-1, 3), -1, Rational(-3, 1)),
(Rational(-1, 3), 0, Rational(1, 1)),
(Rational(-1, 3), 1, Rational(-1, 3)),
(Rational(-1, 3), 2, Rational(1, 9)),
(Rational(-1, 3), 3, Rational(-1, 27))]
for r1, power, expected_r in pow_test_values:
with self.subTest(r1=r1, power=power, expected_r=expected_r):
r = r1**power
self.assertEqual(expected_r, r)
def test_invert_zero_division_error(self):
r = Rational(0)
with self.assertRaises(ZeroDivisionError):
~r
def test_rtruediv(self):
rdiv_test_values = [(1, Rational(1, 2), Rational(2, 1)),
(-1, Rational(1, 2), Rational(-2, 1)),
(1, Rational(-1, 2), Rational(-2, 1)),
(1, Rational(2, 4), Rational(2, 1)),
(1, Rational(3, 4), Rational(4, 3)),
(1, Rational(-3, 4), Rational(-4, 3)),
(1, Rational(1, 3), Rational(3, 1))]
for r1, r2, expected_r in rdiv_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 / r2
self.assertEqual(expected_r, r)
def test_constructor_transform(self):
test_constructor_transform_values = [
(Rational(1, 2), Rational(1, 2), Rational(1)),
(Rational(1, 2), Rational(1, 4), Rational(2)),
(Rational(1, 4), Rational(1, 2), Rational(1, 2)),
(Rational(-1, 2), Rational(1, 2), Rational(-1)),
(Rational(-1, 2), Rational(1, 4), Rational(-2)),
(Rational(-1, 4), Rational(1, 2), Rational(-1, 2)),
(Rational(1, 2), Rational(-1, 2), Rational(-1)),
(Rational(1, 2), Rational(-1, 4), Rational(-2)),
(Rational(1, 4), Rational(-1, 2), Rational(-1, 2)),
(Rational(-1, 2), Rational(-1, 2), Rational(1)),
(Rational(-1, 2), Rational(-1, 4), Rational(2)),
(Rational(-1, 4), Rational(-1, 2), Rational(1, 2))
]
for a, b, expected_result in test_constructor_transform_values:
with self.subTest(a=a, b=b, expected_result=expected_result):
computed_result = Rational(a, b)
self.assertEqual(expected_result, computed_result)
def test_truediv_zero_division_error(self):
r1 = Rational(1, 2)
r2 = Rational()
with self.assertRaises(ZeroDivisionError):
r1 / r2
def test_mul(self):
mul_test_values = [(Rational(), Rational(1, 2), Rational()),
(Rational(1, 2), Rational(), Rational()),
(Rational(1, 2), Rational(1, 2), Rational(1, 4)),
(Rational(1, 2), Rational(-1, 2), Rational(-1, 4)),
(Rational(1, 4), Rational(2, 4), Rational(1, 8)),
(Rational(1, 4), Rational(3, 4), Rational(3, 16)),
(Rational(1, 4), Rational(-3, 4), Rational(-3, 16)),
(Rational(1, 2), Rational(1, 3), Rational(1, 6)),
(Rational(2), 1, Rational(2)),
(Rational(2), -1, Rational(-2))]
for r1, r2, expected_r in mul_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 * r2
self.assertEqual(expected_r, r)
def test_sub(self):
sub_test_values = [(Rational(), Rational(1, 2), Rational(-1, 2)),
(Rational(1, 2), Rational(), Rational(1, 2)),
(Rational(1, 2), Rational(1, 2), Rational(0, 1)),
(Rational(1, 2), Rational(-1, 2), Rational(1, 1)),
(Rational(1, 4), Rational(2, 4), Rational(-1, 4)),
(Rational(1, 4), Rational(3, 4), Rational(-1, 2)),
(Rational(1, 4), Rational(-3, 4), Rational(1, 1)),
(Rational(1, 2), Rational(1, 3), Rational(1, 6)),
(Rational(2), -1, Rational(3)),
(Rational(2), 1, Rational(1))]
for r1, r2, expected_r in sub_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 - r2
self.assertEqual(expected_r, r)
def test_sub_type_error(self):
r = Rational()
with self.assertRaises(TypeError):
r - 1.2
def test_add_type_error(self):
r = Rational()
with self.assertRaises(TypeError):
r + 1.2
def test_gt(self):
true_test_cases = [(Rational(1, 2), Rational()),
(Rational(), Rational(-1, 2)),
(Rational(1, 2), Rational(-1, 2)),
(Rational(1, 2), Rational(1, 4)),
(Rational(-1, 4), Rational(-1, 2))]
false_test_cases = [(Rational(), Rational()),
(Rational(-1, 2), Rational()),
(Rational(), Rational(1, 2)),
(Rational(-1, 2), Rational(1, -2)),
(Rational(1, 2), Rational(2, 4)),
(Rational(-1, 2), Rational(1, 2)),
(Rational(1, 4), Rational(1, 2)),
(Rational(-1, 2), Rational(-1, 4))]
for r1, r2 in true_test_cases:
with self.subTest(r1=r1, r2=r2, result=True):
self.assertTrue(r1 > r2)
for r1, r2 in false_test_cases:
with self.subTest(r1=r1, r2=r2, result=False):
self.assertFalse(r1 > r2)
def test_rmul(self):
rmul_test_values = [(1, Rational(1, 2), Rational(1, 2)),
(1, Rational(), Rational(0, 1)),
(-1, Rational(1, 2), Rational(-1, 2)),
(1, Rational(-1, 2), Rational(-1, 2)),
(1, Rational(2, 4), Rational(1, 2)),
(1, Rational(3, 4), Rational(3, 4)),
(1, Rational(-3, 4), Rational(-3, 4)),
(1, Rational(1, 3), Rational(1, 3))]
for r1, r2, expected_r in rmul_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 * r2
self.assertEqual(expected_r, r)
def test_rtruediv_zero_division_error(self):
r = Rational()
with self.assertRaises(ZeroDivisionError):
1 / r
def test_rpow_value_error(self):
rpow_test_values = [(-2, Rational(1, 2)), (-1, Rational(1, 2)),
(-3, Rational(-1, 2)), (-2, Rational(-1, 2)),
(-1, Rational(-1, 2)), (-3, Rational(1, 3)),
(-2, Rational(1, 3)), (-1, Rational(1, 3)),
(-3, Rational(-1, 3)), (-2, Rational(-1, 3)),
(-1, Rational(-1, 3))]
for base, power in rpow_test_values:
with self.subTest(base=base, power=power):
with self.assertRaises(ValueError):
base**power
def test_rtruediv_type_error(self):
r = Rational()
with self.assertRaises(TypeError):
1.2 / r
def test_transform(self):
test_transform_values = [(1, 2, (1, 2)), (2, 4, (2, 4)),
(-1, 2, (-1, 2)), (-2, 4, (-2, 4)),
(1, -2, (1, -2)), (2, -4, (2, -4)),
(-1, -2, (-1, -2)), (-2, -4, (-2, -4)),
(Rational(1, 2), 1, (1, 2)),
(Rational(1, 2), 2, (1, 4)),
(Rational(-1, 2), 1, (-1, 2)),
(Rational(-1, 2), 2, (-1, 4)),
(Rational(1, -2), 1, (-1, 2)),
(Rational(1, -2), 2, (-1, 4)),
(Rational(1, 2), -1, (1, -2)),
(Rational(1, 2), -2, (1, -4)),
(Rational(-1, 2), -1, (-1, -2)),
(Rational(-1, 2), -2, (-1, -4)),
(1, Rational(1, 2), (2, 1)),
(2, Rational(1, 2), (4, 1)),
(-1, Rational(1, 2), (-2, 1)),
(-2, Rational(1, 2), (-4, 1)),
(1, Rational(-1, 2), (2, -1)),
(2, Rational(-1, 2), (4, -1)),
(1, Rational(1, -2), (2, -1)),
(2, Rational(1, -2), (4, -1)),
(-1, Rational(1, 2), (-2, 1)),
(-2, Rational(1, 2), (-4, 1)),
(Rational(1, 2), Rational(1, 2), (2, 2)),
(Rational(1, 2), Rational(1, 4), (4, 2)),
(Rational(1, 4), Rational(1, 2), (2, 4)),
(Rational(-1, 2), Rational(1, 2), (-2, 2)),
(Rational(-1, 2), Rational(1, 4), (-4, 2)),
(Rational(-1, 4), Rational(1, 2), (-2, 4)),
(Rational(1, 2), Rational(-1, 2), (2, -2)),
(Rational(1, 2), Rational(-1, 4), (4, -2)),
(Rational(1, 4), Rational(-1, 2), (2, -4)),
(Rational(-1, 2), Rational(-1, 2), (-2, -2)),
(Rational(-1, 2), Rational(-1, 4), (-4, -2)),
(Rational(-1, 4), Rational(-1, 2), (-2, -4))]
for a, b, expected_result in test_transform_values:
with self.subTest(a=a, b=b, expected_result=expected_result):
computed_result = Rational.transform(a, b)
self.assertEqual(expected_result, computed_result)
def test_truediv(self):
div_test_values = [(Rational(), Rational(1, 2), Rational()),
(Rational(1, 2), Rational(1, 2), Rational(1, 1)),
(Rational(1, 2), Rational(-1, 2), Rational(-1, 1)),
(Rational(1, 4), Rational(2, 4), Rational(1, 2)),
(Rational(1, 4), Rational(3, 4), Rational(1, 3)),
(Rational(1, 4), Rational(-3, 4), Rational(-1, 3)),
(Rational(1, 2), Rational(1, 3), Rational(3, 2)),
(Rational(2), 1, Rational(2)),
(Rational(2), -1, Rational(-2))]
for r1, r2, expected_r in div_test_values:
with self.subTest(r1=r1, r2=r2, expected_r=expected_r):
r = r1 / r2
self.assertEqual(expected_r, r)
def test_abs(self):
for numerator, denominator, expected_numerator, expected_denominator in self.known_values:
with self.subTest(numerator=numerator, denominator=denominator):
r = abs(Rational(numerator, denominator))
self.assertEqual(abs(expected_numerator), r.numerator)
self.assertEqual(expected_denominator, r.denominator)
def test_rpow(self):
rpow_test_values = [(0, Rational(), 1), (1, Rational(), 1),
(2, Rational(), 1), (3, Rational(), 1),
(0, Rational(1, 2), 0), (1, Rational(1, 2), 1),
(2, Rational(1, 2), 1.4142135623730951),
(3, Rational(1, 2), 1.7320508075688772),
(1, Rational(-1, 2), 1),
(2, Rational(-1, 2), 0.7071067811865476),
(3, Rational(-1, 2), 0.5773502691896257),
(0, Rational(1, 3), 0), (1, Rational(1, 3), 1),
(2, Rational(1, 3), 1.2599210498948732),
(3, Rational(1, 3), 1.4422495703074083),
(1, Rational(-1, 3), 1),
(2, Rational(-1, 3), 0.7937005259840998),
(3, Rational(-1, 3), 0.6933612743506348),
(-1, Rational(1), -1), (-2, Rational(1), -2),
(-1, Rational(-1), -1), (-2, Rational(-2), 0.25)]
for base, power, expected_power in rpow_test_values:
with self.subTest(base=base,
power=power,
expected_power=expected_power):
computed_power = base**power
self.assertAlmostEqual(expected_power, computed_power)
def test_pow_zero_division_error(self):
r = Rational()
for power in range(-3, 0):
with self.subTest(r=r, power=power):
with self.assertRaises(ZeroDivisionError):
r**power
from rational.rational import Rational
__author__ = 'Daniel Dinu'
r = Rational(1, 2)
print('Object: {}'.format(repr(r)))
print('Numerator: {}'.format(r.numerator))
print('Denominator: {}'.format(r.denominator))
print('Value: {}'.format(r.value))
print('Quotient: {}'.format(r.quotient))
print('Remainder: {}'.format(r.remainder))
print('')
a = Rational(1, 2)
b = Rational(a)
c = 0
print('Initial: a = {}; b = {}'.format(a, b))
a += 1
b = 2 - b
print('Final: a = {}; b = {}'.format(a, b))
print('')
print('Initial: a = {}; b = {}'.format(a, b))
a = r / b
b = a * r
print('Final: a = {}; b = {}'.format(a, b))
print('')
def test_pow_type_error(self):
r = Rational()
with self.assertRaises(TypeError):
r**1.2
