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;
}

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