题目描述

定义一个复数类，通过重载运算符：+、-、*，实现两个复数之间的各种运算。

class Complex
{
private:
    float real, image;
public:
    Complex(float x = 0, float y = 0);
    friend Complex operator+(Complex&, Complex&);
    friend Complex operator-(Complex&, Complex&);
    friend Complex operator*(Complex&, Complex&);
    void show();
};

要求如下：

1.实现Complex类；

2.编写main函数，初始化两个Complex对象，计算它们之间的加减乘，并输出结果。

复数相乘的运算规则

设z1=a+bi，z2=c+di(a、b、c、d∈R)是任意两个复数，那么它们的积(a+bi)(c+di)=(ac-bd)+(bc+ad)i.

输入

第1行：输入两个数值，分别为第一个Complex对象的实部和虚部。

第2行：输入两个数值，分别为第二个Complex对象的实部和虚部。

输出

第1行：两个Complex对象相加后的输出结果。

第2行：两个Complex对象相减后的输出结果。

第3行：两个Complex对象相乘后的输出结果。

#include<iostream>
#include <cstring>
using namespace std;
class Complex {
	float Real, Image;
public:
	Complex(float x = 0, float y = 0) {
		Real = x;
		Image = y;
	}
	friend Complex operator+(Complex&, Complex&);
	friend Complex operator-(Complex&, Complex&);
	friend Complex operator*(Complex&, Complex&);
	void show() {
		cout << "Real=" << Real << " Image=" << Image << endl;
	}
};
//运算符重载
//创建新对象 其real =c1+c2的real
Complex operator+(Complex& c1, Complex& c2) {
	Complex temp;
	temp.Real = c1.Real + c2.Real;
	temp.Image = c1.Image + c2.Image;
	return temp;
}
//减法
Complex operator-(Complex& c1, Complex& c2) {
	Complex temp;
	temp.Real = c1.Real - c2.Real;
	temp.Image = c1.Image - c2.Image;
	return temp;
}
//乘法
Complex operator*(Complex& c1, Complex& c2) {
	Complex temp;
	temp.Real = c1.Real * c2.Real - c1.Image * c2.Image;
	temp.Image = c1.Image * c2.Real + c1.Real * c2.Image;
	return temp;
}
int main() {
	float real, image;
	//创建两个对象
	cin >> real >> image;
	Complex c1(real, image);
	cin >> real >> image;
	Complex c2(real, image);

	Complex c3;
	c3 = c1 + c2;
	c3.show();
	c3 = c1 - c2;
	c3.show();
	c3 = c1 * c2;
	c3.show();
}