第十二周 运算符重载之复数类练习

/*           *Copyright(c) 2016,烟台大学计算机学院           *作    者：刘金石           *完成日期：2016年5月11日           *问题描述：运算符重载练习 */  //（1）请用类的成员函数，定义复数类重载运算符+、-、*、/，使之能用于复数的加减乘除#include<iostream>using namespace std;class Complex{public:    Complex(){real=0;imag=0;}    Complex(double r,double i){real=r; imag=i;}    Complex operator+(const Complex &c2);    Complex operator-(const Complex &c2);    Complex operator*(const Complex &c2);    Complex operator/(const Complex &c2);    void display();private:    double real;    double imag;};//下面定义成员函数void Complex::display(){    cout<<"("<<real<<","<<imag<<"i)"<<endl;}Complex Complex::operator+(const Complex &c2){    return Complex(real+c2.real,imag+c2.imag);}Complex Complex::operator-(const Complex &c2){    return Complex(real-c2.real,imag-c2.imag);}Complex Complex::operator*(const Complex &c2){    return Complex(real*c2.real,imag*c2.imag);}Complex Complex::operator/(const Complex &c2){    Complex c;    c.real=real*c2.real-imag*c2.imag;    c.imag=imag*c2.real+real*c2.imag;    return c;}//下面定义用于测试的main()函数int main(){    Complex c1(3,4),c2(5,-10),c3;    cout<<"c1=";    c1.display();    cout<<"c2=";    c2.display();    c3=c1+c2;    cout<<"c1+c2=";    c3.display();    c3=c1-c2;    cout<<"c1-c2=";    c3.display();    c3=c1*c2;    cout<<"c1*c2=";    c3.display();    c3=c1/c2;    cout<<"c1/c2=";    c3.display();    return 0;}

（2）请用类的友元函数，而不是成员函数，再次完成上面提及的运算符的重载； 

<pre name="code" class="cpp">#include<iostream>using namespace std;class Complex{public:    Complex(){real=0;imag=0;}    Complex(double r,double i){real=r; imag=i;}    friend Complex operator+(Complex &c1,Complex &c2);    friend Complex operator-(Complex &c1,Complex &c2);    friend Complex operator*(Complex &c1,Complex &c2);    friend Complex operator/(Complex &c1,Complex &c2);    void display();private:    double real;    double imag;};//下面定义成员函数void Complex::display(){    cout<<"("<<real<<","<<imag<<"i)"<<endl;}Complex operator+(Complex &c1,Complex &c2){    return Complex(c1.real+c2.real,c1.imag+c2.imag);}Complex operator-(Complex &c1,Complex &c2){    return Complex(c1.real-c2.real,c1.imag-c2.imag);}Complex operator*(Complex &c1,Complex &c2){    return Complex(c1.real*c2.real,c1.imag*c2.imag);}Complex operator/(Complex &c1,Complex &c2){    Complex c;    c.real=c1.real*c2.real-c1.imag*c2.imag;    c.imag=c1.imag*c2.real+c1.real*c2.imag;    return c;}//下面定义用于测试的main()函数int main(){    Complex c1(3,4),c2(5,-10),c3;    cout<<"c1=";    c1.display();    cout<<"c2=";    c2.display();    c3=c1+c2;    cout<<"c1+c2=";    c3.display();    c3=c1-c2;    cout<<"c1-c2=";    c3.display();    c3=c1*c2;    cout<<"c1*c2=";    c3.display();    c3=c1/c2;    cout<<"c1/c2=";    c3.display();    return 0;}

（3）定义一个定义完整的类（是可以当作独立的产品发布，成为众多项目中的“基础工程”）。这样的类在(2)的基础上，扩展+、-、*、/运算符的功能，使之能与double型数据进行运算。设Complex c; double d; c+d和d+c的结果为“将d视为实部为d的复数同c相加”，其他-、*、/运算符类似。

#include<iostream>using namespace std;class Complex{public:    Complex(){real=0;imag=0;}    Complex(double r,double i){real=r; imag=i;}    friend Complex operator+(Complex &c1,Complex &c2);    friend Complex operator+(double d1, Complex &c2);    friend Complex operator+( Complex &c2,double d1);    friend Complex operator-(Complex &c1,Complex &c2);    friend Complex operator*(Complex &c1,Complex &c2);    friend Complex operator/(Complex &c1,Complex &c2);    friend Complex operator/(double d1,Complex &c2);    friend Complex operator/(Complex &c2,double d1);    void display();private:    double real;    double imag;};//下面定义成员函数void Complex::display(){    cout<<"("<<real<<","<<imag<<"i)"<<endl;}Complex operator+(Complex &c1,Complex &c2){    return Complex(c1.real+c2.real,c1.imag+c2.imag);}Complex operator+(double d1, Complex &c2){    return Complex(d1+c2.real,c2.imag);}Complex operator+( Complex &c2,double d1){    return Complex(d1+c2.real,c2.imag);}Complex operator-(Complex &c1,Complex &c2){    return Complex(c1.real-c2.real,c1.imag-c2.imag);}Complex operator*(Complex &c1,Complex &c2){    return Complex(c1.real*c2.real,c1.imag*c2.imag);}Complex operator/(Complex &c1,Complex &c2){    Complex c;    c.real=c1.real*c2.real-c1.imag*c2.imag;    c.imag=c1.imag*c2.real+c1.real*c2.imag;    return c;}Complex operator/(double d1,Complex &c2){    Complex c(d1,0);    return c/c2;}Complex operator/(Complex &c2,double d1){    Complex c(d1,0);    return c/c2;}//下面定义用于测试的main()函数int main(){    Complex c1(3,4),c2(5,-10),c3;    double d=11;    cout<<"c1=";    c1.display();    cout<<"c2=";    c2.display();    cout<<"d="<<d<<endl<<endl;    cout<<"下面是重载运算符的计算结果: "<<endl;    //加法    c3=c1+c2;    cout<<"c1+c2=";    c3.display();    cout<<"c1+d=";    (c1+d).display();    cout<<"d+c1=";    (d+c1).display();    //减法    c3=c1-c2;    cout<<"c1-c2=";    c3.display();    //乘法    c3=c1*c2;    cout<<"c1*c2=";    c3.display();    //除法    c3=c1/c2;    cout<<"c1/c2=";    c3.display();    cout<<"c1/d=";    (c1/d).display();    cout<<"d/c1=";    (d/c1).display();    return 0;}

运行结果：

<img src="http://img.blog.csdn.net/20160511192920071?watermark/2/text/aHR0cDovL2Jsb2cuY3Nkbi5uZXQv/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70/gravity/SouthEast" alt="" />