|
| 1 | +class Fraction: |
| 2 | + """docstring fos Fraction""" |
| 3 | + def __init__(self, up,down): |
| 4 | + x = gcd(up,down) |
| 5 | + self.num = up/x |
| 6 | + self.den = down/x |
| 7 | + |
| 8 | + def show(self): |
| 9 | + #print('%d/%d'%(self.num,self.den)) |
| 10 | + print self.num,"/",self.den |
| 11 | + |
| 12 | + def __str__(self): |
| 13 | + return str(self.num)+"/"+str(self.den) |
| 14 | + |
| 15 | + def __add__(self,other): |
| 16 | + sum_num = self.num*other.den + self.den*other.num |
| 17 | + sum_den = self.den*other.den |
| 18 | + temp = gcd(sum_num,sum_den) |
| 19 | + return str(sum_num/temp)+'/'+str(sum_den/temp) |
| 20 | + |
| 21 | + def __sub__(self,other): |
| 22 | + sum_num = self.num*other.den - self.den*other.num |
| 23 | + sum_den = self.den*other.den |
| 24 | + temp = gcd(sum_num,sum_den) |
| 25 | + return str(sum_num/temp)+'/'+str(sum_den/temp) |
| 26 | + |
| 27 | + def __mul__(self,other): |
| 28 | + sum_num = self.num*other.num |
| 29 | + sum_den = self.den*other.den |
| 30 | + temp = gcd(sum_num,sum_den) |
| 31 | + return str(sum_num/temp)+'/'+str(sum_den/temp) |
| 32 | + |
| 33 | + def __div__(self,other): |
| 34 | + |
| 35 | + sum_num = self.num*other.den |
| 36 | + sum_den = self.den*other.num |
| 37 | + temp = gcd(sum_num,sum_den) |
| 38 | + return str(sum_num/temp)+'/'+str(sum_den/temp) |
| 39 | + |
| 40 | + def __eq__(self,other): |
| 41 | + #to check deep equality I have overriden the __eq__ fn so that |
| 42 | + #instead of checking reference it compares values and |
| 43 | + #returns True if both matches |
| 44 | + first_num = self.num*other.den |
| 45 | + second_num = self.den*other.num |
| 46 | + |
| 47 | + return first_num == second_num |
| 48 | + |
| 49 | + def __lt__(self,other): |
| 50 | + |
| 51 | + first_num = self.num*other.den |
| 52 | + second_num = self.den*other.num |
| 53 | + |
| 54 | + return first_num < second_num |
| 55 | + |
| 56 | + def __le__(self,other): |
| 57 | + |
| 58 | + first_num = self.num*other.den |
| 59 | + second_num = self.den*other.num |
| 60 | + |
| 61 | + return first_num <= second_num |
| 62 | + |
| 63 | + def __gt__(self,other): |
| 64 | + |
| 65 | + first_num = self.num*other.den |
| 66 | + second_num = self.den*other.num |
| 67 | + |
| 68 | + return first_num > second_num |
| 69 | + |
| 70 | + def __ge__(self,other): |
| 71 | + |
| 72 | + first_num = self.num*other.den |
| 73 | + second_num = self.den*other.num |
| 74 | + |
| 75 | + return first_num >= second_num |
| 76 | + |
| 77 | + def __ne__(self,other): |
| 78 | + |
| 79 | + first_num = self.num*other.den |
| 80 | + second_num = self.den*other.num |
| 81 | + |
| 82 | + return first_num != second_num |
| 83 | + |
| 84 | + |
| 85 | + def get_num(self): |
| 86 | + return(self.num) |
| 87 | + |
| 88 | + def get_den(self): |
| 89 | + return(self.den) |
| 90 | + |
| 91 | +def gcd(m,n): |
| 92 | + while (m % n != 0): |
| 93 | + temp = m % n |
| 94 | + m = n |
| 95 | + n = temp |
| 96 | + return n |
| 97 | + |
0 commit comments