设计一个Fraction类的结构,该类表示一个可以单步前进的广义整数
时间: 2024-05-16 16:15:00 浏览: 13
以下是一个Fraction类的结构设计,可以表示一个可以单步前进的广义整数:
```python
class Fraction:
def __init__(self, numerator=0, denominator=1):
self.numerator = numerator
self.denominator = denominator
def __str__(self):
return f"{self.numerator}/{self.denominator}"
def __repr__(self):
return f"Fraction({self.numerator}, {self.denominator})"
def __add__(self, other):
common_denominator = self.denominator * other.denominator
new_numerator = (self.numerator * other.denominator) + (other.numerator * self.denominator)
return Fraction(new_numerator, common_denominator)
def __sub__(self, other):
common_denominator = self.denominator * other.denominator
new_numerator = (self.numerator * other.denominator) - (other.numerator * self.denominator)
return Fraction(new_numerator, common_denominator)
def __mul__(self, other):
new_numerator = self.numerator * other.numerator
new_denominator = self.denominator * other.denominator
return Fraction(new_numerator, new_denominator)
def __truediv__(self, other):
new_numerator = self.numerator * other.denominator
new_denominator = self.denominator * other.numerator
return Fraction(new_numerator, new_denominator)
def step_forward(self, step_size=1):
self.numerator += step_size * self.denominator
```
该类包含一个构造函数,可以使用分子和分母初始化Fraction对象。还包含__str__和__repr__方法,可以使Fraction对象以字符串形式输出和调试。它还包含四个算术运算符方法__add__,__sub__,__mul__和__truediv__,可以对Fraction对象进行加、减、乘和除运算。
除此之外,该类还包含一个step_forward方法,该方法接受一个step_size参数,它将增加分子step_size * 分母的值。通过这个方法,Fraction对象可以单步前进。