Code: Alles auswählen
class bruch:
def __init__(self,z=1,n=1,round=1):
self.z,self.n=ifelse(n>=0,[z,n],[-z,-n])
t = self.__ggt__(self.z,self.n)
self.z,self.n=self.z/t,self.n/t
if self.n==0:
raise ZeroDivisionError, "integer division or modulo by zero"
self.round=round
def round(state=1):
self.round=state
def gettuple():
return self.z,self.n
def __ggt__(self,x,y):
while y > 0:
rest = x % y
x = y
y = rest
return x
def __kgv__(self,x,y):
return (x/self.__ggt__(x,y))*y
def __round__(self,x):
return long(x+ 0.5 * ((x > 0) or -1))
def __add__(self,other):
zs = self.z * other.n + other.z * self.n
ns = self.n * other.n
t = self.__ggt__(zs,ns)
return bruch(zs/t, ns/t)
def __div__(self,other):
zs = self.z * other.n
ns = self.n * other.z
t = self.__ggt__(zs,ns)
return bruch(zs/t, ns/t)
def __divmod__(self,other):
return (self/other,self%other)
def __mod__(self,other):
if other==0 or other.z==0:
raise ZeroDivisionError, "integer division or modulo by zero"
ns=self.__kgv__(self.n,other.n)
self.z=self.z*(ns/self.n)
other.z=other.z*(ns/other.n)
return bruch(self.z%other.z,ns)
def __mul__(self,other):
zs = self.z * other.z
ns = self.n * other.n
t = self.__ggt__(zs,ns)
return bruch(zs/t, ns/t)
def __pow__(self,other):
other=long(other)
if other>=0:
return bruch(self.z**other,self.n**other)
else:
return bruch(self.n**other,self.z**other)
def __sub__(self,other):
zs = self.z * other.n - other.z * self.n
ns = self.n * other.n
t = self.__ggt__(zs,ns)
return bruch(zs/t, ns/t)
def __abs__(self):
return bruch(abs(self.z),abs(self.n))
def __float__(self):
return float(self.z)/float(self.n)
def __int__(self):
return int(self.__long__())
def __long__(self):
if self.n==1:
return long(self.z)
elif self.round:
return self.__round__(float(self.z)/float(self.n))
else:
return long(float(self.z)/float(self.n))
def __neg__(self):
return bruch(-self.z,self.n)
def __pos__(self):
return bruch(self.z,self.n)
def __repr__(self):
return "bruch(%i,%i)"%(self.z,self.n)
def __str__(self):
return "(%i / %i)"%(self.z,self.n)Code: Alles auswählen
>>> x=bruch(1,3)
>>> x
bruch(1,3)
>>> x*bruch(3,1)
bruch(1,1)
>>> x*3
Traceback (most recent call last):
File "<pyshell#6>", line 1, in ?
x*3
File "C:\Python22\lib\site-packages\utils.py", line 77, in __mul__
zs = self.z * other.z
AttributeError: 'int' object has no attribute 'z'
daran hab ich noch nicht gedacht, das könnte gut hinhauen. Gekürzt wird aber schon automatisch in der init.