项目一——分数类运算符重载3

拼搏现实的明天。 2021-06-10 20:41 374阅读 0赞

问题及代码：

/*copyright(c)2016.烟台大学计算机学院
     * All rights reserved,
     * 文件名称：text.Cpp
     * 作者：李一波
     * 完成日期：2016年5月30日
     * 版本号：vc++6.0
     *
     * 问题描述:实现分数类中的运算符重载，在分数类中可以完成分数的加减乘除（运算后再化简）、比较（6种关系）的运算。
     * 输入描述:
     * 程序输出：
     */
    #include <iostream>
    using namespace std;
    class CFraction
    {
    private:
        int nume;  // 分子
        int deno;  // 分母
    public:
        CFraction(){}
        CFraction(int n,int d):nume(n),deno(d){}
        void show();
        friend istream &operator>>(istream &in,CFraction &x);
        friend ostream &operator<<(ostream &out,CFraction x);
        CFraction operator+(const CFraction &a);
        CFraction operator-(const CFraction &a);
        CFraction operator*(const CFraction &a);
        CFraction operator/(const CFraction &a);
        CFraction operator+(const int &a);
        CFraction operator-(const int &a);
        CFraction operator*(const int &a);
        CFraction operator/(const int &a);
        bool operator>(const CFraction &a);
        bool operator<(const CFraction &a);
        bool operator>=(const CFraction &a);
        bool operator<=(const CFraction &a);
        bool operator==(const CFraction &a);
        bool operator!=(const CFraction &a);
        CFraction hua_jian();
        CFraction operator+();
        CFraction operator-();
        CFraction operator~();
    };
    istream &operator>>(istream &in,CFraction &x)
    {
        char ch;
        while(1)
        {
            cin>>x.nume>>ch>>x.deno;
            if (x.deno==0)
                cerr<<"分母为0, 请重新输入\n";
            else if(ch!='/')
                cerr<<"格式错误（形如m/n）! 请重新输入\n";
            else
                break;
        }
        return cin;
    }
    
    // 重载输出运算符<<
    ostream &operator<<(ostream &out,CFraction x)
    {
        cout<<x.nume<<'/'<<x.deno;
        return cout;
    }
    
    CFraction CFraction::operator+()//取正数
    {
        return this->hua_jian();
    }
    CFraction CFraction::operator-()//取负数
    {
        CFraction c;
        c.nume=-nume;
        c.deno=-deno;
    
        return c;
    }
    CFraction CFraction::operator~()//取倒数
    {
        CFraction c;
        c.deno=nume;
        c.nume=deno;
        if(c.deno<0)
        {
            c.deno=-c.deno;
            c.nume=-c.nume;
        }
        return c.hua_jian();
    }
    CFraction CFraction::operator+(const CFraction &a)
    {
        CFraction c;
        if(deno==a.deno)
            c.nume=nume+a.nume;
        else
        {
            c.deno=deno*a.deno;
            c.nume=nume*a.deno+a.nume*deno;
        }
        return c.hua_jian();
    }
    CFraction CFraction::operator-(const CFraction &a)
    {
        CFraction c;
        if(deno==a.deno)
            c.nume=nume-a.nume;
        else
        {
            c.deno=deno*a.deno;
            c.nume=nume*a.deno-a.nume*deno;
        }
        return c.hua_jian();
    }
    CFraction CFraction::operator*(const CFraction &a)
    {
        CFraction c;
        c.deno=deno*a.deno;
        c.nume=nume*a.nume;
        return c.hua_jian();
    }
    CFraction CFraction::operator/(const CFraction &a)
    {
        CFraction c;
        c.deno=deno*a.nume;
        c.nume=nume*a.deno;
        return c.hua_jian();
    }
    CFraction CFraction::operator+(const int &a)
    {
        CFraction c;
        c.deno=deno;
        c.nume=nume+deno*a;
        return c.hua_jian();
    }
    CFraction CFraction::operator-(const int &a)
    {
        CFraction c;
        c.deno=deno;
        c.nume=nume-deno*a;
        return c.hua_jian();
    }
    CFraction CFraction::operator*(const int &a)
    {
        CFraction c;
        c.deno=deno;
        c.nume=nume*a;
        return c.hua_jian();
    }
    CFraction CFraction::operator/(const int &a)
    {
        CFraction c;
        c.deno=deno*a;
        c.nume=nume;
        return c.hua_jian();
    }
    bool CFraction::operator>(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume>a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno>a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    bool CFraction::operator<(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume<a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno<a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    bool CFraction::operator>=(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume>=a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno>=a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    bool CFraction::operator<=(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume<=a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno<=a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    bool CFraction::operator==(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume==a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno==a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    bool CFraction::operator!=(const CFraction &a)
    {
        if(deno==a.deno)
            if(nume!=a.nume)
                return 1;
            else
                return -1;
        else
        {
            if(nume*a.deno!=a.nume*deno)
                return 1;
            else
                return -1;
        }
    }
    CFraction CFraction::hua_jian()
    {
        int t,t1,t2;
        t1=nume;
        t2=deno;
        while(t2!=0)
        {
            t=t1%t2;
            t1=t2;
            t2=t;
        }
        nume/=t1;
        deno/=t1;
        if(deno<0)
        {
            deno=-deno;
            nume=-nume;
        }
        return *this;
    }
    void CFraction::show()
    {
        cout<<nume<<'/'<<deno<<endl;
    }
    //重载函数的实现及用于测试的main()函数
    int main()
    {
        CFraction c1(2,3),c2(5,6),c3;
        int i=2;
        c3=c1+c2;
        cout<<"c1+c2之和是：";
        c3.show();
        c3=c1-c2;
        cout<<"c1-c2之差是：";
        c3.show();
        c3=c1*c2;
        cout<<"c1*c2是：";
        c3.show();
        c3=c1/c2;
        cout<<"c1/c2是：";
        c3.show();
        c3=c1+i;
        cout<<"c1+i之和是：";
        c3.show();
        c3=c1-i;
        cout<<"c1-i之差是：";
        c3.show();
        c3=c1*i;
        cout<<"c1*i是：";
        c3.show();
        c3=c1/i;
        cout<<"c1/i是：";
        c3.show();
        if((c1>c2)==1)
            cout<<"c1大于c2"<<endl;
        else
            cout<<"c1小于c2"<<endl;
        if((c1<c2)==1)
            cout<<"c1小于c2"<<endl;
        else
            cout<<"c1大于c2"<<endl;
        if((c1>=c2)==1)
            cout<<"c1大于等于c2"<<endl;
        else
            cout<<"c1小于c2"<<endl;
        if((c1<=c2)==1)
            cout<<"c1小于等于c2"<<endl;
        else
            cout<<"c1大于c2"<<endl;
        if((c1==c2)==1)
            cout<<"c1等于c2"<<endl;
        else
            cout<<"c1不等于c2"<<endl;
        if((c1!=c2)==1)
            cout<<"c1不等于c2"<<endl;
        else
            cout<<"c1等于c2"<<endl;
        cout<<"-c1="<<-c1<<endl;
        cout<<"+c1="<<+c1<<endl;
        cout<<"c1的倒数: "<<~c1<<endl;
        return 0;
    }

运行结果：

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[Center]: /images/20210607/9e596b4376b64476a2bc52c4ff81a6d3.png