python精确有理数实验_Python更好的数学第一弹——可计算的有理数类

##哈喽这里是红石小蝈

##up最近在Python里构建一个库

##代码还知道如何发到github上

##以下是Rational类部分(up萌新&＃xff0c;有错误请指出&＃xff0c;配色使用Py原装配色)

##代码自取

##为获得更好的观看效果&＃xff0c;请用网页端阅读

from math import*

class Rational:

&＃39;&＃39;&＃39;a rational number class instead of

python integer or floating numbers, the

base of rational functions&＃39;&＃39;&＃39;

def __init__(self,num&＃61;0,den&＃61;1):

ifden &＃61;&＃61; 0:

raise ZeroDivisionError(&＃39;the denominator can\&＃39;t be zero&＃39;)

elif notisinstance(num,(int,float)) and isinstance(den,(int,float)):

raise TypeError(&＃39;the numrator and the denominator can only be numbers&＃39;)

if den &＃61;&＃61; 1and isinstance(num,float):

raise NotImplementedError(&＃39;&＃39;&＃39;you still can\&＃39;t change floating numbers into Rationals,

if u have questions please go to&＃39;&＃39;&＃39;&＃43;AUTHERS_SPACE&＃43;&＃39;for help&＃39;)

else:

self.num&＃61;num

self.den&＃61;den

def reduct(self):

&＃39;&＃39;&＃39;make the fraction in the lowest term&＃39;&＃39;&＃39;

num&＃61;int(self.num/gcd(self.num,self.den))

den&＃61;int(self.den/gcd(self.num,self.den))

self.num&＃61;num

self.den&＃61;den

##change rationals into integers and floating numbers

def __int__(self):

return self.num//self.den

def __float__(self):

return self.num/self.den

##comparing rationals with others numbers

def __eq__(self,other):

return float(self)&＃61;&＃61;float(other)

def __ge__(self,other):

return float(self)>&＃61;float(other)

def __gt__(self,other):

return float(self)>float(other)

def __le__(self,other):

return float(self)<&＃61;float(other)

def __lt__(self,other):

return float(self)

def __ne__(self,other):

return float(self)!&＃61;float(other)

##compute rationals with numbers

def __add__(self,other):

if isinstance(other,int):

return Rational(self.num&＃43;other*self.den,self.den)

elif isinstance(other,Rational) :

d&＃61;self.den*other.den

n&＃61;self.den*other.num&＃43;self.num*other.den

a&＃61;Rational(d,n)

a.reduct()

return a

def __neg__(self):

return Rational(-self.num,self.den)

def __sub__(self,other):

return self&＃43;(-other)

def __rsub__(self,other):

return -(self-other)

def __mul__(self,other):

if isinstance(other,int):

a&＃61;Rational(self.num*other,self.den)

a.reduct()

return a

elif isinstance(other,Rational):

a&＃61;Rational(self.num*other.num,self.den*other.den)

a.reduct()

return a

def __div__(self,other):

if float(other)&＃61;&＃61;0:

raise ZeroDivisionError(&＃39;Can\&＃39;t divide by zero&＃39;)

ifisinstance(other,int):

a &＃61; Rational(self.num,self.den*other)

a.reduct()

return a

elif isinstance(other,Rational) :

a &＃61; Rational(self.num*other.den,self.den*other.num)

a.reduct()

returna

def __rdiv__(self,other):

if float(self)&＃61;&＃61;0:

raise ZeroDivisionError(&＃39;Can\&＃39;t divide by zero&＃39;)

a &＃61; Rational(self.den*other,self.num)

a.reduct()

return a

def __pow__(self,other):

if other>&＃61;0:

return Rational(self.num**other,self.den**other)

if other<0:

return Rational(self.den**(-other),self.num**(-other))

__rmul__&＃61;__mul__

__radd__&＃61;__add__

##show rationals

def __repr__(self):

if self.den&＃61;&＃61;1:

return str(self.num)

return&＃39;(&＃39;&＃43;str(self.num)&＃43;&＃39;/&＃39;&＃43;str(self.den)&＃43;&＃39;)&＃39;

##如果喜欢的话&＃xff0c;不要忘记留下一个三连啊&＃xff01;&＃xff01;