/* (程序頭部註釋開始)
* 程序的版權和版本聲明部分
* Copyright (c) 2012, 煙臺大學計算機學院學生
* All rights reserved.
* 文件名稱:流運算符重載運算符(Complex類)
* 作 者: 劉程程
* 完成日期: 2012 年 4 月 17日
* 版 本 號: 1.054
* 對任務及求解方法的描述部分
*
* 問題描 述:按第八週任務1,定義Complex類中的<<和>>運算符重載,實現時間的輸入輸出,改造原程序中的對運算結果顯示方式,是程序讀起來更自然。
* 程序輸出: ......
* 程序頭部的註釋結束
*/
#include <iostream>
using namespace std;
class Complex
{
public:
Complex(){real=0;imag=0;}
Complex(double r,double i){real=r;imag=i;}
Complex operator-();
friend ostream& operator << (ostream& output,Complex& c);
friend istream& operator >> (istream& input,Complex& c);
friend Complex operator+(Complex &c1, Complex &c2);
friend Complex operator+(double d1, Complex &c2);
friend Complex operator+(Complex &c1, double d2);
friend Complex operator-(Complex &c1, Complex &c2);
friend Complex operator-(double d1, Complex &c2);
friend Complex operator-(Complex &c1, double d2);
friend Complex operator*(Complex &c1, Complex &c2);
friend Complex operator*(double d1, Complex &c2);
friend Complex operator*(Complex &c1, double d2);
friend Complex operator/(Complex &c1, Complex &c2);
friend Complex operator/(double d1, Complex &c2);
friend Complex operator/(Complex &c1, double d2);
private:
double real;
double imag;
};
//實現輸出的運算符重載
ostream& operator << (ostream& output,Complex& c)
{
output<<"("<<c.real;
if(c.imag>=0) output<<"+";
output<<c.imag<<"i)";
return output;
}
//實現輸入的運算符重載
istream& operator >> (istream& input,Complex& c)
{
int a,b;
char sign,i;
do
{
cout<<"input a complex number(a+bi或a-bi):";
input>>a>>sign>>b>>i;
}
while(!((sign=='+'||sign=='-')&&i=='i'));
c.real=a;
c.imag=(sign=='+')?b:-b;
return input;
}
Complex Complex::operator-()
{
return(0-*this); //需要好好理解
}
//複數相加:(a+bi)+(c+di)=(a+c)+(b+d)i.
Complex operator+(Complex &c1, Complex &c2)
{
Complex c;
c.real=c1.real+c2.real;
c.imag=c1.imag+c2.imag;
return c;
}
Complex operator+(double d1, Complex &c2)
{
Complex c(d1,0);
return c+c2;//按一般的運算有點麻煩,這種運算節省編寫者的時間,但可能機器效率會不佳。。。
}
Complex operator+(Complex &c1, double d2)
{
Complex c(d2,0);
return c1+c;
}
//複數相減:(a+bi)-(c+di)=(a-c)+(b-d)i.
Complex operator-(Complex &c1, Complex &c2)
{
Complex c;
c.real=c1.real-c2.real;
c.imag=c1.imag-c2.imag;
return c;
}
Complex operator-(double d1, Complex &c2)
{
Complex c(d1,0);
return c-c2;
}
Complex operator-(Complex &c1, double d2)
{
Complex c(d2,0);
return c1-c;
}
//複數相乘:(a+bi)(c+di)=(ac-bd)+(bc+ad)i.
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 &c1, double d2)
{
Complex c(d2,0);
return c1*c; //注意位置
}
//複數相除:(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i
Complex operator/(Complex &c1, Complex &c2)
{
Complex c;
c.real=(c1.real*c2.real+c1.imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
c.imag=(c1.imag*c2.real-c1.real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
return c;
}
Complex operator/(double d1, Complex &c2)
{
Complex c(d1,0);
return c/c2;
}
Complex operator/(Complex &c1, double d2)
{
Complex c(d2,0);
return c1/c;
}
int main()
{
Complex c1,c2,c3;
double d=11;
cout<<"c1:";
cin>>c2;
cout<<"c2=";
cin>>c2;
cout<<"d="<<d<<endl;
cout<<"-c1="<<(-c1);
c3=c1+c2;
cout<<"c1+c2="<<c3<<endl;
cout<<"c1+d="<<(c1+d)<<endl;
cout<<"d+c1="<<(d+c1)<<endl;
c3=c1-c2;
cout<<"c1-c2="<<c3<<endl;
cout<<"c1-d="<<(c1-d)<<endl;
cout<<"d-c1="<<(d-c1)<<endl;
c3=c1*c2;
cout<<"c1*c2="<<(c1*c2)<<endl;
cout<<"c1*d="<<(c1*d)<<endl;
cout<<"d*c1="<<(d*c1)<<endl;
c3=c1/c2;
cout<<"c1/c2="<<(c1/c2)<<endl;
cout<<"c1/d="<<(c1/d)<<endl;
cout<<"d/c1="<<(d/c1)<<endl;
system("pause");
return 0;
}