151 lines
3.0 KiB
Python
151 lines
3.0 KiB
Python
import math
|
||
|
||
class Rational:
|
||
def __init__(self, a=0, b=1):
|
||
if not isinstance(a, int) or not isinstance(b, int):
|
||
raise TypeError('numerator and denominator must be int!')
|
||
|
||
if b == 0:
|
||
raise ValueError('denominator must not be 0!')
|
||
self.a = a
|
||
self.b = b
|
||
|
||
self._simplify()
|
||
|
||
|
||
def __repr__(self):
|
||
if self.b == 1:
|
||
return str(self.a)
|
||
if self.a == 0:
|
||
return '0'
|
||
|
||
return f'{self.a}/{self.b}'
|
||
|
||
def _simplify(self):
|
||
gcd = math.gcd(self.a, self.b)
|
||
|
||
self.a //= gcd
|
||
self.b //= gcd
|
||
|
||
def __add__(self, r):
|
||
if isinstance(r, int):
|
||
a = r * self.b + self.a
|
||
b = self.b
|
||
else:
|
||
a = self.a * r.b + self.b * r.a
|
||
b = self.b * r.b
|
||
|
||
return Rational(a, b)
|
||
|
||
__radd__ = __add__
|
||
|
||
def __sub__(self, r):
|
||
if isinstance(r, int):
|
||
a = r * self.b - self.a
|
||
b = self.b
|
||
else:
|
||
a = self.a * r.b - self.b * r.a
|
||
b = self.b * r.b
|
||
|
||
return Ratioanal(a, b)
|
||
|
||
__rsub__ = __sub__
|
||
|
||
def __mul__(self, r):
|
||
if isinstance(r, int):
|
||
a = self.a * r
|
||
b = self.b
|
||
else:
|
||
a = self.a * r.a
|
||
b = self.b * r.b
|
||
|
||
return Rational(a, b)
|
||
|
||
__rmul__ = __mul__
|
||
|
||
def __truediv__(self, r):
|
||
if isinstance(r, int):
|
||
a = self.a
|
||
b = self.b * r
|
||
else:
|
||
a = self.a * r.b
|
||
b = self.b * r.a
|
||
|
||
return Rational(a, b)
|
||
|
||
__rtruediv__ = __truediv__
|
||
|
||
|
||
def __lt__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b < r
|
||
|
||
return self.a / self.b < r.a / r.b
|
||
|
||
def __le__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b <= r
|
||
|
||
return self.a / self.b <= r.a / r.b
|
||
|
||
def __gt__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b > r
|
||
|
||
return self.a / self.b > r.a / r.b
|
||
|
||
def __ge__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b >= r
|
||
|
||
return self.a / self.b >= r.a / r.b
|
||
|
||
def __eq__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b == r
|
||
|
||
return self.a / self.b == r.a / r.b
|
||
|
||
def __ne__(self, r):
|
||
if isinstance(r, int):
|
||
return self.a / self.b != r
|
||
|
||
return self.a / self.b >= r.a != r.b
|
||
|
||
def __float__(self):
|
||
return self.a / self.b
|
||
|
||
def __int__(self):
|
||
return self.a // self.b
|
||
|
||
def __bool__(self):
|
||
return self.a != 0
|
||
|
||
x = Rational(3, 2)
|
||
y = Rational(1, 2)
|
||
|
||
result = x + y * x
|
||
print(result)
|
||
|
||
result = x / 2
|
||
print(result)
|
||
|
||
result = float(x)
|
||
print(result)
|
||
|
||
result = int(x)
|
||
print(result)
|
||
|
||
z = Rational()
|
||
if z:
|
||
print('Doğru')
|
||
else:
|
||
print('Yanlış')
|
||
|
||
if x > y:
|
||
print('x > y')
|
||
elif x < y:
|
||
print('x < y')
|
||
elif x == y:
|
||
print('x == y')
|