# Rational numbers
def gcd(bigger, smaller):
'''compute the greatest common divisor of two positive integers'''
#print(' in gcd ')
if not bigger > smaller :
bigger, smaller = smaller, bigger
while smaller != 0:
remainder = bigger % smaller
#print('gcd calc, big:{}, small:{}, rem:{}'.format(bigger, smaller, remainder))
bigger, smaller = smaller, remainder
return bigger
def lcm(a, b):
'''calculate the least common multiple of two positive integers'''
#print(' in lcm ')
return (a*b)//gcd(a,b)
class Rational(object):
'''Rational with numerator and denominator. Denominator defaults to 1'''
def __init__(self, numer, denom = 1):
#print('in constructor')
self.numer = numer
self.denom = denom
def __str__(self):
'''String representation for printing'''
#print(' in str ')
return str(self.numer) + '/' + str(self.denom)
def __repr__(self):
''' Used in the interpreter. Call __str__ for now'''
print(' in repr ')
return self.__str__()
def __add__(self, param_Rational):
'''Add two Rationals'''
if type(param_Rational) == int:
param_Rational = Rational(param_Rational)
if type(param_Rational) == Rational:
# find the lcm
the_lcm = lcm(self.denom, param_Rational.denom)
# multiply each numerator by the lcm, then add
numerator_sum = the_lcm*self.numer/self.denom + \
the_lcm*param_Rational.numer/param_Rational.denom
return Rational( int(numerator_sum), the_lcm )
else:
print("Wrong type in addition method.")
raise(TypeError)
def __sub__(self, param_Rational):
'''Subtract two Rationals'''
#print(' in add ')
# find the lcm
the_lcm = lcm(self.denom, param_Rational.denom)
# multiply each numerator by the lcm, then add
numerator_sum = the_lcm*self.numer/self.denom - \
the_lcm*param_Rational.numer/param_Rational.denom
return Rational( int(numerator_sum), the_lcm )
def reduce_rational(self):
'''Return the reduced fraction value as a Rational'''
# find the gcd and divide numerator and denominator by it
the_gcd = gcd(self.numer, self.denom)
return Rational( self.numer//the_gcd, self.denom//the_gcd)
def __eq__(self, param_Rational):
'''Compare two Rationals for equalit and return a Boolean'''
reduced_self = self.reduce_rational()
reduced_param = param_Rational.reduce_rational()
return reduced_self.numer == reduced_param.numer and\
reduced_self.denom == reduced_param.denom
如何调用sub并添加方法来添加/减去任何两个有理数?
答案 0 :(得分:2)
你不打电话给他们。当您使用-
减去Rational或使用+
添加它时,Python会为您调用它们。即在@ Selcuk的例子中:
print Rational(5,2) - Rational(1,3)
这将调用__sub__()