Python 2.1)编写虚数类WxpComplex 2.2)定义两个对象x1=WxpComplex

Question

Python 2.1)编写虚数类WxpComplex 2.2)定义两个对象x1=WxpComplex(r1,i1) x2=WxpComplex(r2,i2) 2.3)实现计算 x3=x1+x2 x4=x1-x2 2.4)实现比较判断（比较虚数模的大小） x1>x2，输出判断结果 3.1）每一个形状保存为一个对应的文件 3.2)设置一个主容器，保存五个形状S1/S2/S3/S4/S5，五个形状对象必须包含circle、triangle、square 3.3)输出容器中每个形状的面积 3.4)对主容器中的形状按面积继续排序 求解答

Answer 1

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1) 虚数类WxpComplex的代码实现如下：

class WxpComplex:
    def __init__(self, real, imag):
        self.real = real
        self.imag = imag
    def __add__(self, other):
        return WxpComplex(self.real + other.real, self.imag + other.imag)
    def __sub__(self, other):
        return WxpComplex(self.real - other.real, self.imag - other.imag)
    def modulus(self):
        return (self.real ** 2 + self.imag ** 2) ** 0.5
# 示例代码
x1 = WxpComplex(1, 2)
x2 = WxpComplex(3, 4)
x3 = x1 + x2
x4 = x1 - x2
print("x3 =", x3.real, "+", x3.imag, "i")
print("x4 =", x4.real, "+", x4.imag, "i")
# 比较判断虚数模大小
if x1.modulus() > x2.modulus():
    print("x1 has a larger modulus than x2")
else:
    print("x2 has a larger modulus than x1")

3) 保存形状为文件并输出面积的代码实现如下：

import math
class Circle:
    def __init__(self, radius):
        self.radius = radius
    def area(self):
        return math.pi * self.radius ** 2
class Triangle:
    def __init__(self, base, height):
        self.base = base
        self.height = height
    def area(self):
        return 0.5 * self.base * self.height
class Square:
    def __init__(self, side):
        self.side = side
    def area(self):
        return self.side ** 2
# 创建形状对象
S1 = Circle(5)
S2 = Triangle(3, 4)
S3 = Square(2)
S4 = Circle(3)
S5 = Square(4)
# 保存到文件
shapes = [S1, S2, S3, S4, S5]
for idx, shape in enumerate(shapes):
    with open(f'shape{idx+1}.txt', 'w') as f:
        f.write(f"Area: {shape.area()}")
# 输出每个形状的面积
for idx, shape in enumerate(shapes):
    print(f"Area of shape{idx+1}: {shape.area()}")
# 按面积排序
sorted_shapes = sorted(shapes, key=lambda x: x.area(), reverse=True)
print("Shapes sorted by area:")
for idx, shape in enumerate(sorted_shapes):
    print(f"Shape{idx+1}: {shape.__class__.__name__}, Area: {shape.area()}")