C++——完善的复数类

sycmancia2026-02-26 8:16

利用操作符重载

统一复数与实数的运算方式：+、 -、 *、 /

统一复数与实数的比较方式：== 、！=

Complex.h

复制代码

#pragma once
class Complex {
	double a;
	double b;
public:
	Complex(double a, double b);
	double getA();
	double getB();
	double getModulus(); //求模

	Complex operator +(const Complex& c);
	Complex operator -(const Complex& c);
	Complex operator *(const Complex& c);
	Complex operator /(const Complex& c);

	bool operator ==(const Complex& c);
	bool operator !=(const Complex& c);

	Complex& operator=(const Complex& c); //赋值运算符
};

Complex.cpp

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#include "Complex.h"
#include "math.h"

Complex::Complex(double a, double b) {
	this->a = a;
	this->b = b;
}
double Complex::getA() {
	return a;
}
double Complex::getB() {
	return b;
}
double Complex::getModulus() {
	return sqrt(a * a + b * b);
}//求模

Complex Complex::operator +(const Complex& c) {
	double na = a + c.a;
	double nb = b + c.b;
	Complex ret(na, nb);
	return ret;
}
Complex Complex::operator -(const Complex& c) {
	double na = a - c.a;
	double nb = b - c.b;
	Complex ret(na, nb);
	return ret;
}
Complex Complex::operator *(const Complex& c) {
	double na = a * c.a - b * c.b;
	double nb = a * c.b + b * c.a;
	Complex ret(na, nb);
	return ret;
}
Complex Complex::operator /(const Complex& c) {
	double cm = c.a * c.a + c.b * c.b;
	double na = (a * c.a - b * c.b) / cm;
	double nb = (b * c.a - a * c.b) / cm;
	Complex ret(na, nb);
	return ret;
}

bool Complex::operator ==(const Complex& c) {
	return (a == c.a) && (b == c.b);
}
bool Complex::operator !=(const Complex& c) {
	return !(*this == c);
}

Complex& Complex::operator=(const Complex& c) {
	if (this != &c) {
		a = c.a;
		b = c.b;
	}
	return *this;
}//赋值运算符