python 實現複數計算器

運行結果展示

代碼如下

class Complex:
    def __init__(self, real, virtual):
        self.real = real
        self.virtual = virtual

    def __add__(self, other):
        return Complex(self.real + other.real, self.virtual + other.virtual)

    def __sub__(self, other):
        return Complex(self.real - other.real, self.virtual - other.virtual)

    def __mul__(self, other):
        return Complex(self.real * other.real - self.virtual * other.virtual,
                       self.real * other.virtual + other.real * self.virtual)

    def __truediv__(self, other):
        a = self.real
        b = self.virtual
        c = other.real
        d = other.virtual

        devide = c ** 2 + d ** 2
        return Complex((a * c + b * d)/devide, (b * c - a * d)/devide)

    def __repr__(self):
        return "%s + %si" % (self.real, self.virtual)


if __name__ == '__main__':
    while True:
        print("===輸入第一個複數===")
        a = int(input("實部："))
        b = int(input("虛部："))
        print("===輸入第一個複數===")
        c = int(input("實部："))
        d = int(input("虛部："))

        c1 = Complex(a, b)
        c2 = Complex(c, d)

        print("===希望執行的運算===")
        sign = int(input("加法(0);減法(1);乘法(2);除法(3);退出(4)"))

        if sign == 0:
            print("相加的結果爲：", c1 + c2)
            print("="*20)
        elif sign == 1:
            print("相減的結果爲：", c1 - c2)
            print("=" * 20)
        elif sign == 2:
            print("相乘的結果爲：", c1 * c2)
            print("=" * 20)
        elif sign == 3:
            print("相除的結果爲：", c1 / c2)
            print("=" * 20)
        else:
            break

---

複數除法的數學推導

$\frac{a + bi}{c + di} = x+yi$

• $cx - dy = a$
• $dx + cy = b$

$x=\frac{ac+bd}{c^2 + d^2}$

$y = \frac{bc - ad}{c^2 + d^2}$

---