等于支持自建的分数类。

Question

class Fraction:
    """Class for performing fraction arithmetic.
    Each Fraction has two attributes: a numerator, n and a deconominator, d.
    Both must be integer and the deonominator cannot be zero."""

    def __init__(self,n,d):
        """Performs error checking and standardises to ensure denominator is 
positive"""
        if type(n)!=int or type(d)!=int:
            raise TypeError("n and d must be integers")
        if d==0:
            raise ValueError("d must be positive")
        elif d<0:
            self.n = -n
            self.d = -d
        else:
            self.n = n
            self.d = d

    def __str__(self):
        """Gives string representation of Fraction (so we can use print)"""
        return(str(self.n) + "/" + str(self.d))

    def __add__(self, otherFrac):
        """Produces new Fraction for the sum of two Fractions"""
        newN = self.n*otherFrac.d + self.d*otherFrac.n
        newD = self.d*otherFrac.d
        newFrac = Fraction(newN, newD)
        return(newFrac)

    def __sub__(self, otherFrac):
        """Produces new Fraction for the difference between two Fractions"""        
        newN = self.n*otherFrac.d - self.d*otherFrac.n
        newD = self.d*otherFrac.d
        newFrac = Fraction(newN, newD)
        return(newFrac)

    def __mul__(self, otherFrac):
        """Produces new Fraction for the product of two Fractions"""        
        newN = self.n*otherFrac.n
        newD = self.d*otherFrac.d
        newFrac = Fraction(newN, newD)
        return(newFrac)

    def __truediv__(self, otherFrac):
        """Produces new Fraction for the quotient of two Fractions"""        
        newN = self.n*otherFrac.d
        newD = self.d*otherFrac.n
        newFrac = Fraction(newN, newD)
        return(newFrac)

如上面所示，我如何打印？

Fraction(1,3) == Fraction(2,6)

例如：

Fraction(1,2) + Fraction(1,3)
Fraction(1,2) - Fraction(1,3)
Fraction(1,2) * Fraction(1,3)
Fraction(1,2) / Fraction(1,3)

他们每次都是计算的工作。当我试图打印分数(1，3) ==分数(2，6)时，结果是False。我怎么能让它计算成True

我怎样才能不使用import fraction就能做到这一点。

Answer 1

试试这个：

def __eq__(self, other):
    return  self.n*other.d == self.d*other.n

正如注释中所指出的，没有必要实现__ne__。

编辑：，如对此答案的注释中所要求的，这里是简化分数的方法。

分数的简化意味着将这两个数除以最大公因子。正如在这里中发布的那样，代码相当简单

# return the simplified version of a fraction
def simplified(self):
    # calculate the greatest common divisor
    a = self.n
    b = self.d
    while b:
        a, b = b, a%b
    # a is the gcd
    return Fraction(self.n/a, self.d/a)

希望能帮上忙。

Answer 2

数据模型将__eq__指定为实现==检查的方法。

__eq__的一个非常简单的实现是：

def __eq__(self, other):
    return self.n == other.n and self.d == other.d

它适用于Fraction(1, 2) == Fraction(1, 2)，但不适用于Fraction(1, 2) == Fraction(2, 4)。

您需要修改__eq__方法的内容，以便它甚至允许比较倍数。

Answer 3

在python中，要获得==操作符的自定义行为，必须为方法__eq__提供一个实现。如果您不覆盖它，默认的行为是检查对象是否真的是同一个对象，在本例中不是这样。