复数的完整C++实现

复数的完整C++实现

// Author: Keith A. Shomper
// Date: 11/17/03
// Purpose: To demonstrate a class
#include <iostream>
using std::cout;
using std::cin;
using std::endl;
using std::ostream;
using std::istream;

class complex_number {
public:
complex_number(double real = 0.0, double imag = 0.0):r(real),i(imag) {}
complex_number(const complex_number& rhs):r(rhs.r),i(rhs.i){};
complex_number operator=(const complex_number& rhs){
if(this!=&rhs){
r=rhs.r;
i=rhs.i;
}
return *this;
}
complex_number& operator+=(const complex_number& rhs);
complex_number& operator-=(const complex_number& rhs);
complex_number& operator*=(const complex_number& rhs);
complex_number& operator/=(const complex_number& rhs);

friend complex_number operator+ (const complex_number &a, const complex_number &b);
friend complex_number operator- (const complex_number &a, const complex_number &b);
friend complex_number operator* (const complex_number &a, const complex_number &b);
friend complex_number operator/ (const complex_number &a, const complex_number &b);

friend ostream& operator<<(ostream& os, const complex_number& rhs);
private:
double r;
double i;
};
complex_number& complex_number::operator+=(const complex_number& rhs){
r+=rhs.r;
i+=rhs.i;
return *this;
}
complex_number& complex_number::operator-=(const complex_number& rhs){
r-=rhs.r;
i-=rhs.i;
return *this;
}
complex_number& complex_number::operator*=(const complex_number& rhs){
r = (r * rhs.r - i * rhs.i);
i = (r * rhs.i + i * rhs.r);
return *this;
}
complex_number& complex_number::operator/=(const complex_number& rhs){
r = (r * rhs.r + i * rhs.i) / (rhs.r * rhs.r + rhs.i * rhs.i);
i = (i * rhs.r - r * rhs.i) / (rhs.r * rhs.r + rhs.i * rhs.i);
return *this;
}

complex_number operator+ (const complex_number &a, const complex_number &b) {
complex_number result(a);
result+=b;

return result;
}
complex_number operator- (const complex_number &a, const complex_number &b) {
complex_number result(a);
result-=b;

return result;
}

complex_number operator* (const complex_number &a, const complex_number &b) {
complex_number result(a);
result*=b;

return result;
}

complex_number operator/ (const complex_number &a, const complex_number &b) {
complex_number result(a);
result/=b;
return result;
}

ostream& operator<<(ostream& os,const complex_number& rhs){
os<<rhs.r<<"+"<<rhs.i<<"i";
}

int main () {
complex_number x(1, 2), y, z;
complex_number sum, difference, product, quotient;

y = complex_number(2, 4);

z = complex_number(3, 0);

cout << "x is: "<< x<< endl;
cout << "y is: "<< y<< endl;
cout << "z is: "<< z<< endl;

sum = x + y;
difference = x - y;
product = x * y;
quotient = sum / z;
cout << "The sum (x + y) is: "<<sum << endl;
cout << "The difference (x - y) is: "<<difference<< endl;
cout << "The product (x * y) is: "<<product << endl;
cout << "The quotient (sum / z) is: "<<quotient << endl;
complex_number a=5;
cout<<"a="<<a<<endl;
a+=3;
cout<<"a="<<a<<endl;

return 0;
}