📜  复数构造函数 (1)

📅  最后修改于: 2023-12-03 14:51:39.816000             🧑  作者: Mango

复数构造函数

在计算机编程中,复数是由实部和虚部构成的数学实体。复数构造函数是一种用于创建和操作复数的方法。复数构造函数通常包含以下功能:

创建复数

复数构造函数可以接受实部和虚部作为参数,并创建一个复数对象。实部和虚部可以是整数、浮点数或其他复数类型。

class ComplexNumber:
    def __init__(self, real_part, imaginary_part):
        self.real_part = real_part
        self.imaginary_part = imaginary_part

# 创建复数对象
complex_number = ComplexNumber(2, 3)
获取实部和虚部

复数构造函数通常提供获取实部和虚部的方法,以便程序员可以对复数进行进一步的操作。

class ComplexNumber:
    def __init__(self, real_part, imaginary_part):
        self.real_part = real_part
        self.imaginary_part = imaginary_part

    def get_real_part(self):
        return self.real_part

    def get_imaginary_part(self):
        return self.imaginary_part

complex_number = ComplexNumber(2, 3)

real_part = complex_number.get_real_part()  # 获取实部
imaginary_part = complex_number.get_imaginary_part()  # 获取虚部
复数运算

复数构造函数通常还提供对复数进行常见运算的方法,如加法、减法、乘法和除法。

class ComplexNumber:
    def __init__(self, real_part, imaginary_part):
        self.real_part = real_part
        self.imaginary_part = imaginary_part

    def add(self, other):
        real_part = self.real_part + other.real_part
        imaginary_part = self.imaginary_part + other.imaginary_part
        return ComplexNumber(real_part, imaginary_part)

    def subtract(self, other):
        real_part = self.real_part - other.real_part
        imaginary_part = self.imaginary_part - other.imaginary_part
        return ComplexNumber(real_part, imaginary_part)

    def multiply(self, other):
        real_part = self.real_part * other.real_part - self.imaginary_part * other.imaginary_part
        imaginary_part = self.real_part * other.imaginary_part + self.imaginary_part * other.real_part
        return ComplexNumber(real_part, imaginary_part)

    def divide(self, other):
        denominator = other.real_part**2 + other.imaginary_part**2
        real_part = (self.real_part * other.real_part + self.imaginary_part * other.imaginary_part) / denominator
        imaginary_part = (self.imaginary_part * other.real_part - self.real_part * other.imaginary_part) / denominator
        return ComplexNumber(real_part, imaginary_part)

complex_number1 = ComplexNumber(2, 3)
complex_number2 = ComplexNumber(4, 5)

result_addition = complex_number1.add(complex_number2)  # 加法
result_subtraction = complex_number1.subtract(complex_number2)  # 减法
result_multiplication = complex_number1.multiply(complex_number2)  # 乘法
result_division = complex_number1.divide(complex_number2)  # 除法

以上是关于复数构造函数的简要介绍,复数的构造函数和方法可以根据实际需求进行更多功能的扩展。