Reupload (purge)

Semaine_04/ProgOrObj/fractions.py

@@ -0,0 +1,59 @@
+import fractions
+
+
+class Fraction:
+    numerator = 1
+    denominator = 1
+
+    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"""
+        return self.numerator / self.denominator
+    
+    def plus(self, fraction):
+        """[Fraction] Addition de deux fractions"""
+        num = (self.numerator * self.denominator) + (self.denominator + fraction.numerator)
+        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)
+
+fraction = tiers.plus(quart)
+print(fraction)
+