不使用
C++
标准库,自行设计并实现一个复数类
Complex
,使其满足如下要求:
数据成员
用来表示复数的实部
real
和虚部
imag
,实部、虚部,均为小数形式。
函数成员
构造函数
支持以下方式定义复数对象:
成员函数
get_real()
返回复数实部
get_imag()
返回复数虚部
show()
用于输出复数。要求以
3 + 4i
,
3
-
4i
这样的形式输出
add()
用于把一个复数加到自身,比如
c1.add(c2)
,相当于
c1 += c2
友元函数
add()
用于实现两个复数相加,返回复数。比如
c3 = add(c1, c2)
;
is_equal()
用于判断两个复数是否相等,返回
true/false
。比如
is_equal(c1, c2)
abs()
用于对复数进行取模运算
将类
Complex
的定义及友元函数实现,单独保存在文件
Complex.hpp
中。
使用
task3.cpp
中的代码,测试类
Complex
的各项接口是否正确。
#include "Complex.hpp"
#include <iostream>int main()
{using namespace std;Complex c1(11, -4);const Complex c2(4.5);Complex c3(c1);cout << "c1 = ";c1.show();cout << endl;cout << "c2 = ";c2.show();cout << endl;cout << "c2.imag = " << c2.get_imag() << endl;cout << "c3 = ";c3.show();cout << endl;cout << "abs(c1) = ";cout << abs(c1) << endl;cout << boolalpha;cout << "c1 == c3 : " << is_equal(c1, c3) << endl;cout << "c1 == c2 : " << is_equal(c1, c2) << endl;Complex c4;c4 = add(c1, c2);cout << "c4 = c1 + c2 = ";c4.show();cout << endl;c1.add(c2);cout << "c1 += c2, " << "c1 = ";c1.show();cout << endl;return 0;
}
#include<iostream>
#include<cmath>
using namespace std;class Complex
{
public:Complex(double a = 0,double b = 0):real{a},imag{b} {};Complex(const Complex &c1);~Complex() = default;double get_real() const {return real;}double get_imag() const {return imag;}void show() const;void add(Complex const &c1);friend Complex add(Complex const&c1,Complex const&c2);friend bool is_equal(Complex const&c1,Complex const&c2);friend double abs(Complex const&c1);
private:double real;double imag;
};Complex::Complex(const Complex &c1)
{real = c1.real;imag = c1.imag;
}void Complex::show() const
{if(imag == 0)cout << real ;else if(imag < 0)cout << real <<" - "<< abs(imag) << "i" ;elsecout << real <<" + "<< imag << "i" ;
}void Complex::add(Complex const&c1)
{real += c1.real;imag += c1.imag;
}Complex add(Complex const&c1,Complex const&c2)
{Complex c3;c3.real = c1.real + c2.real;c3.imag = c1.imag + c2.imag;return c3;
}bool is_equal(Complex const&c1,Complex const&c2)
{if(c1.real == c2.real&&c1.imag ==c2.imag)return true;return false;
}double abs(Complex const&c1)
{return sqrt(c1.real*c1.real + c1.imag*c1.imag);
}