Semaine 4, jour 4, soir

Semaine_04/ProgOrObj/fractions.py

@@ -8,6 +8,21 @@ class Fraction:
     def __init__(self, numerator, denominator):
         self.numerator = numerator
         self.denominator = denominator
+        self.simplifier()
+
+    def __mul__(self, factor: int | Self):
+        if isinstance(factor, int):
+            return Fraction(
+                numerator = self.numerator * factor,
+                denominator = self.denominator
+            )
+        return Fraction(
+            numerator = self.numerator * factor.numerator,
+            denominator = self.denominator * factor.denominator
+        )
+    
+    def __rmul__(self, number: int):
+        return self.__mul__(number)
 
     def quotient(self):
         """[Fraction] Chiffre sur Chiffre"""
@@ -19,15 +34,26 @@ class Fraction:
         den = self.denominator * fraction.denominator
         return Fraction(numerator= num, denominator= den)
     
+    @staticmethod
+    def pgcd( a, b):
+        """Calcul du PGCD de deux entiers naturels"""
+        if b == 0:return a
+        return Fraction.pgcd(a= b, b= a % b)
+    
+    def simplifier(self):
+        a = self.numerator
+        b = self.denominator
+        pgcd = Fraction.pgcd(a, b)
+
+        self.numerator = self.numerator // pgcd     # // force la division à ne PAS donner de float
+        self.denominator //= pgcd                   # C'est la même chose que dessus
+    
     def __repr__(self):
         return f"Fraction({self.numerator}/{self.denominator})"
     
 tiers = Fraction(numerator= 1, denominator= 3)
 quart = Fraction(1, 4)
 
-# print(tiers.__dict__)
-# print(quart.__dict__)
-# print(Fraction.__dict__)
-
 fraction = tiers.plus(quart)
-print(fraction)
+print(fraction)
+