C8-1 复数加减乘除

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最新推荐文章于 2023-11-09 21:13:38 发布

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分类专栏： C++语言程序设计文章标签：多态性

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本文介绍了如何使用C++类来实现复数的加、减、乘、除操作。通过定义复数类，分别进行四种基本运算，并以实部和虚部的形式输出结果。

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C8-1 复数加减乘除

(100/100 分数)

题目描述

求两个复数的加减乘除。

要求使用c++ class编写程序。可以创建如下class

#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>

using namespace std;

class Complex{
public:
    Complex(double r = 0.0, double i = 0.0): real(r), imag(i) {};
    Complex operator+ (const Complex &c2) const;
    Complex operator- (const Complex &c2) const;
    
    /*实现下面三个函数*/
    Complex operator* (const Complex &c2) const;
    Complex operator/ (const Complex &c2) const;
    friend ostream & operator<< (ostream &out, const Complex &c);

private:
    double real;
    double imag;
};

Complex Complex::operator+ (const Complex &c2) const {
    return Complex(real + c2.real, imag + c2.imag);
}

Complex Complex::operator- (const Complex &c2) const {
    return Complex(real - c2.real, imag - c2.imag);
}


int main() {
    double real, imag;
    cin >> real >> imag;
    Complex c1(real, imag);
    cin >> real >> imag;
    Complex c2(real, imag);
    cout << c1 + c2;
    cout << c1 - c2;
    cout << c1 * c2;
    cout << c1 / c2;
}

输入描述

第一行两个double类型数，表示第一个复数的实部虚部

第二行两个double类型数，表示第二个复数的实部虚部

输出描述

输出依次计算两个复数的加减乘除，一行一个结果

输出复数先输出实部，空格，然后是虚部，

样例输入

1 1
3 -1

样例输出

注释

#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>

using namespace std;

class Complex{
public:
    Complex(double r = 0.0, double i = 0.0): real(r), imag(i) {};
    Complex operator+ (const Complex &c2) const;
    Complex operator- (const Complex &c2) const;
    
    /*实现下面三个函数*/
    Complex operator* (const Complex &c2) const;
    Complex operator/ (const Complex &c2) const;
    friend ostream & operator<< (ostream &out, const Complex &c);

private:
    double real;
    double imag;
};

Complex Complex::operator+ (const Complex &c2) const {
    return Complex(real + c2.real, imag + c2.imag);
}

Complex Complex::operator- (const Complex &c2) const {
    return Complex(real - c2.real, imag - c2.imag);
}

Complex Complex::operator* (const Complex &c2) const{
   return Complex(real*c2.real-imag*c2.imag,real*c2.imag+c2.real*imag); 
}

Complex Complex::operator/ (const Complex &c2) const{//(a+bi)/(c+di)=((ac+bd)/(c*c+d*d))+((bc-ad)/(c*c+d*d))i  真是为难本文科生了
   double a,b;
   a=(real*c2.real+imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
   b=(imag*c2.real-real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);  
   return Complex(a,b);
   
}

ostream & operator<< (ostream &out, const Complex &c){
	out<<c.real<<" "<<c.imag<<endl;
	return out;
}


int main() {
    double real, imag;
    cin >> real >> imag;
    Complex c1(real, imag);
    cin >> real >> imag;
    Complex c2(real, imag);
    cout << c1 + c2;
    cout << c1 - c2;
    cout << c1 * c2;
    cout << c1 / c2;
    return 0;
}