'-': lambda x, y: x - y,
'*': lambda x, y: x * y,
'/': lambda x, y: x / y
}
ERROR = 'Incorrect input; try again.'
if __name__ == '__main__':
print(
'Welcome to RC. Here you can work with rational numbers. Mathematical '
'operations (+, -, *, /) are allowed as well. Type "\\q" to exit. Good luck:)'
)
active, left, sign = True, None, None
while active:
cin = input()
if cin == '\\q':
active = False
print('Goodbye:)')
else:
try:
if left is None and sign is None:
left = R(cin)
elif left is not None and sign is None:
sign = SIGNS[cin]
else:
left = sign(left, R(cin))
sign = None
print(left)
except (RuntimeError, KeyError):
print(ERROR)
def test_negation():
assert -R(3, 4) == R(-3, 4)
assert -R(19) == R(-19)
assert -R(26, 13) == R(-2)
assert -R('13/18') == R('-13/18')
assert -R('29') == R(-29)
assert -R('-36/45') == R(4, 5)
def test_subtraction():
assert R(3, 4) - R(1, 2) == R(1, 4)
assert R('15/3') - R('4/2') == R('9/3')
assert R('2/6') - R('3/9') == R('0')
assert R('8/9') - R('-1/15') == R('43/45')
assert R('5') - R('5') == R('0')
assert R('0') - R('0/5') == R(0)
assert R('3/8') - R('-5/8') == R('1')
def test_comparison():
assert R(3, 5) == R(6, 10)
assert R(-2, -6) == R('1/3')
assert R('8/14') == R(-4, -7)
assert R('21/35') == R(3, 5)
assert R('90/18') < R(6)
assert R('12/3') >= -R(-4)
assert R(0) != R('12/13')
assert R(6, 7) > R('5/6')
assert R(18) <= -R('-72/4')
def test_addition():
assert R(2, 3) + R(4, 3) == R(2)
assert R(1) + R(-5) == R(-8, 2)
assert R(1) + R(-5) == R(-8, 2)
assert R(1, 7) + R(-5, 3) == R(-32, 21)
assert R('3') + R('-5') == R('-2')
assert R('0') + R('-5/2') == R('-5/2')
assert R('6') + R('12/4') == R('9')
assert R('5/9') + R('13/14') == R('187/126')
assert R('6/9') + R('-13/12') == R('-15/36')
assert R('-2/7') + R('-12/7') == R('-2')
def test_bad_rationals():
with raises(RuntimeError):
R()
with raises(RuntimeError):
R(-0, 0)
with raises(RuntimeError):
R(-4, 0)
with raises(RuntimeError):
R('-4/0')
with raises(RuntimeError):
R('')
with raises(RuntimeError):
R('0/0')
with raises(RuntimeError):
R('ytyuuiioopp[ojhg')
with raises(RuntimeError):
R('y/6')
with raises(RuntimeError):
R('-7/dfrt')
with raises(RuntimeError):
R('-3/-6')
with raises(RuntimeError):
R(3) / R(0)
with raises(RuntimeError):
R('0') / R('0')
with raises(RuntimeError):
R(3, 0) / R(0, 6)
def test_rationals_creation():
assert str(R(2, 3)) == '2/3'
assert str(R(2, 1)) == '2'
assert str(R(2, 4)) == '1/2'
assert str(R(9, 3)) == '3'
assert str(R(-8, -3)) == '8/3'
assert str(R(-13, 7)) == '-13/7'
assert str(R(1024, 32)) == '32'
assert str(R(63, -18)) == '-7/2'
assert str(R(128)) == '128'
assert str(R(-4)) == '-4'
assert str(R(0)) == '0'
assert str(R('0')) == '0'
assert str(R('9')) == '9'
assert str(R('-17')) == '-17'
assert str(R('-1/1')) == '-1'
assert str(R('13/18')) == '13/18'
assert str(R('-62/93')) == '-2/3'
assert str(R('-15/3')) == '-5'
assert str(R('17/1')) == '17'
assert str(R('0/1')) == '0'
assert str(R(0, 18)) == '0'
def test_operators():
assert R('22/9') * R('9/4') - R('56/9') * R('3/8') == R('19/6')
assert (R('5/7') + R('3/14')) / R('20/7') == R('13/40')
assert R('3/2') * R('3/2') * R('3/2') * (R('7/9') - R('2/3')) == R('3/8')
assert (R('14/3') + R('7/6')) / R('5') == R('7/6')
assert (R('23/2') + R('69/2')) / (R('5/4') + R('9/2')) == R('8')
def test_division():
assert R(0) / R(5) == R(0)
assert R(-5) / R(5) == R(-1)
assert R(1) / R(1907) == R('1/1907')
assert R('6/9') / R('36/12') == R('2/9')
assert R('-5/16') / R('2/9') == R('-45/32')
def test_multiplication():
assert R(0) * R(0) == R(0)
assert R(0) * R(5) == R(0)
assert R(5) * R(0) == R(0)
assert R(5) * R(-5) == R(-25)
assert R('5') * R('-5') == R('-25')
assert R('18/9') * R('-5/3') == R('-10/3')
assert R('5/7') * R('2/13') == R('10/91')
assert R('-5/7') * R('7/5') == R('-1')
assert R('11/12') * R('12/13') == R('11/13')