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72 lines
2.0 KiB
Python
72 lines
2.0 KiB
Python
#!/usr/bin/python
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from math import gcd # importuju greatest common divisor
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# aby se mi snaz kratily zlomky
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# definujeme novou tridu
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class Fraction:
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# definujeme co se ma dit pri vytvoreni objektu
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def __init__(self, up, down):
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self.up = up # self.up != up
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self.down = down
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self.base() # bude se hodit pri zbytku implementaci
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# zarucuje ze nebudeme muset explicitne volat
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# metodu `base` nikde jinde
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# kraceni zlomku
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# vsimneme si ze narozdil od funkci, u metod
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# je v pohode i jiny typ vraceni z funkce nez
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# jenom pomoci `return`
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# - metoda muze menit objekt kterymu nalezi
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def base(self):
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divisor = gcd(self.up, self.down) # ziskavame nejvedsi spolecny delitel
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if divisor > 1: # zjistujeme jestli muzeme kratit
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self.up = self.up // divisor # znena sebe sama
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self.down = self.down // divisor # a zase
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if self.up < 0 and self.down < 0:
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self.up = -self.up
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self.down = -self.down
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# scitani zlomku
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def add(self, other):
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return Fraction(self.up * other.down + other.up * self.down, self.down * other.down)
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# ^- tohle mi zaruci ze se ten zlomek automaticky zkrati
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# jelikoz tvorim novy objekt a v initu mam `self.base()`
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# taky vracim jiny objekt a nemenim ty, ktere jsem dostal
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# nasobeni zlomku
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def multiply(self, other):
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return Fraction(self.up * other.up, self.down * other.down)
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# odcitani zlomku
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def subtract(self, other):
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return Fraction(self.up * other.down - other.up * self.down, self.down * other.down)
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# deleni
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# prosim tady nepouzivat pythonovsky deleni, je velice nepresny
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def divide(self, other):
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return Fraction(self.up * other.down, self.down * other.up)
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# aby se mi to hezky printlo
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def show(self):
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return f"{self.up}/{self.down}"
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# testy
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for x in range(1, 4):
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for y in range(1, 4):
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a = Fraction(x, y)
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b = Fraction(y, x)
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print(f"\na: {a.show()}\nb: {b.show()}\n")
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print("+", a.add(b).show())
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print("*", a.multiply(b).show())
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print("-", a.subtract(b).show())
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print("/", a.divide(b).show())
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# ez
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