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题目:
定义一个复数类Complex,重载运算符“+”、“=”,“*”,“、”,使之能进行复数的加、减、乘、除。运算符重载函数作为Complex类得成员函数。编程序,分别求两个复数之和、差、积和商。
解答:
#include <iostream>
#include <cmath>
using namespace std;
class Complex{
public:
Complex(double r=0,double i=0);
Complex operator +(const Complex& c);
Complex operator -(const Complex& c);
Complex operator *(const Complex& c);
Complex operator /(const Complex& c);
void print() const;
private:
double real, imag;
};
Complex::Complex(double r,double i){
real=r;
imag=i;
}
Complex Complex::operator +(const Complex& c){
double r=real+c.real;
double i=imag+c.imag;
return Complex(r,i);
}
Complex Complex::operator -(const Complex& c){
double r=real-c.real;
double i=imag-c.imag;
return Complex(r,i);
}
Complex Complex::operator *(const Complex& c){
double r=real * c.real - imag * c.imag;
double i=real * c.imag + imag * c.real;
return Complex(r,i);
}
Complex Complex::operator /(const Complex& c){
double t = pow(c.imag,2) + pow(c.real,2);
double r=real * c.real + imag * c.imag;
double i=imag * c.real -real * c.imag;
return Complex(r/t,i/t);
}
void Complex::print() const{
cout<<'('<<real<<','<<imag<<')'<<endl;
}
int main()
{
Complex a(3,2),b(0,3),c;
c = a + b;
c.print();
c = a - b;
c.print();
c = a * b;
c.print();
c = a / b;
c.print();
return 0;
}