ADT抽象数据类型名 {数据对象 数据关系 基本运算 }ADT抽象数据类型名 以以上的形式,用python语言,写出复数的抽象数据类型
时间: 2024-09-21 08:03:39 浏览: 27
ADT(Abstract Data Type,抽象数据类型)是描述一组数据以及与这些数据相关操作的抽象模型。针对复数这一抽象数据类型,我们可以按照上述的形式来设计:
```python
class ComplexNumber(ADT):
# 数据对象(数据)
def __init__(self, real=0, imag=0):
self.real = real
self.imaginary = imag
# 数据关系(属性)
@property
def magnitude(self):
return (self.real ** 2 + self.imaginary ** 2) ** 0.5
@property
def phase(self):
return math.atan2(self.imaginary, self.real)
# 基本运算
def add(self, other):
return ComplexNumber(self.real + other.real, self.imaginary + other.imaginary)
def subtract(self, other):
return ComplexNumber(self.real - other.real, self.imaginary - other.imaginary)
def multiply(self, other):
real = self.real * other.real - self.imaginary * other.imaginary
imaginary = self.real * other.imaginary + self.imaginary * other.real
return ComplexNumber(real, imaginary)
def divide(self, divisor):
denominator = divisor.magnitude ** 2
real = (self.real * divisor.real + self.imaginary * divisor.imaginary) / denominator
imaginary = (self.imaginary * divisor.real - self.real * divisor.imaginary) / denominator
return ComplexNumber(real, imaginary)
#
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