用C++实现复数类

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今天我们用C++来实现一下复数的加减运算及比较大小

先来大概说明一下复数的运算。

1.加法运算：(a+bi)+(c+di)=(a+c)+(b+d)i

2.减法运算：(a+bi)-(c+di)=(a-c)+(b-d)i

3.乘法运算：(a+bi)*(c+di)=(ac-bd)*(ad+bc)i

4.除法运算：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2)+(bc-ad)i/(c^2+d^2)

直接上代码：

#define _CRT_SECURE_NO_WARNINGS 1#include <iostream>#include <stdlib.h>using namespace std;class Complex{public:Complex(double real, double image): _real(real), _image(image){}~Complex(){}Complex operator+(const Complex& c){Complex ret(_real + c._real, _image + c._image);return ret;}Complex operator-(const Complex& c){return Complex(_real - c._real, _image - c._image);}//两复数相乘：(a+bi)*(c+di)=(ac-bd)*(ad+bc)iComplex operator*(const Complex& c){return Complex(_real*c._real - _image*c._image, _real*c._image + _image*c._real);}//两复数相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2)+(bc-ad)i/(c^2+d^2)Complex operator/(const Complex& c){return Complex((_real*c._real + _image*c._image)\     / (c._real*c._real + c._image*c._image)\          ,(_image*c._real - _real*c._image)\ / (c._real*c._real + c._image*c._image));}Complex& operator+=(const Complex&c){_real = this->_real + c._real;_image = this->_image + c._image;return *this;}Complex& operator-=(const Complex&c){_real = this->_real - c._real;_image = this->_image - c._image;return *this;}Complex& operator*=(const Complex&c){double real0 = _real;_real = real0 * c._real - _image * c._image;_image = real0 * c._image + _image * c._real;return *this;}Complex& operator/=(const Complex&c){double real0 = _real;_real = (_real*c._real + _image*c._image) / (c._real*c._real + c._image*c._image);_image = (_image*c._real - _real*c._image) / (c._real*c._real + c._image*c._image);return *this;}Complex& operator=(const Complex&c){cout << this << "=" << &c << endl;if (this != &c){_real = c._real;_image = c._image;}return *this;}bool operator>(const Complex& c){if(this->_image != 0 || c._image != 0){cout << "虚数不能比较大小" << endl;return false;}else{if(_real > c._real){return true;}elsereturn false;}}bool operator<(const Complex& c){if(this->_image != 0 || c._image != 0){cout << "虚数不能比较大小" << endl;return false;}return !(*this > c);}bool operator==(const Complex& c){if ((this->_real == c._real) && (this->_image == c._image))return true;return false;}bool operator!=(const Complex& c){if ((this->_real != c._real) || (this->_image != c._image))return true;return false;}friend ostream& operator<<(ostream& out, const Complex& c){out << "real=" << c._real << endl;out << "image=" << c._image << endl;return out;}private:double _real;double _image;};

来测试一下：

int main(){Complex c1(1.0, 2.0);Complex c2(3.0, 4.0);Complex c3 = c1 + c2;Complex c4 = c1 - c2;Complex c5 = c1*c2;Complex c6 = c1 / c2;cout << c3 << endl;cout << c4 << endl;cout << c5 << endl;cout << c6 << endl;c1 = c2 = c3;c1 = c2.operator=(c3);system("pause\n");return 0;}

看一下输出结果吧！

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