分数类的运算符重载

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问题及代码：
/*  * Copyright (c) 2014, 烟台大学计算机学院  * All rights reserved.  * 文件名称：test.cpp  * 作    者：李盈盈   * 完成日期：2015年 05 月 07 日  * 版 本 号：v1.0  *  * 问题描述：实现分数类的运算符重载，在分数中可以实现分数的加减乘除（运算后再化简），比较的运算。 * 输入描述：无 * 程序输出：按要求输出。 */ #include <iostream>using namespace std;class CFraction{private:    int nume;    int deno;public:    CFraction(int nu=0,int de=1):nume(nu),deno(de) {}    void simplify();    void display();    friend CFraction operator+(const CFraction &c1, const CFraction &c2);    friend CFraction operator-(const CFraction &c1, const CFraction &c2);    friend CFraction operator*(const CFraction &c1, const CFraction &c2);    friend CFraction operator/(const CFraction &c1, const CFraction &c2);    friend CFraction operator+(const CFraction &c, int i);    friend CFraction operator+(int i, const CFraction &c );    friend CFraction operator-(const CFraction &c, int i);    friend CFraction operator-(int i, const CFraction &c );    friend CFraction operator*(const CFraction &c, int i);    friend CFraction operator*(int i, const CFraction &c );    friend CFraction operator/(const CFraction &c, int i);    friend CFraction operator/(int i, const CFraction &c );    CFraction operator+();     CFraction operator-();     friend bool operator>(const CFraction &c1, const CFraction &c2);    friend bool operator<(const CFraction &c1, const CFraction &c2);    friend bool operator==(const CFraction &c1, const CFraction &c2);    friend bool operator!=(const CFraction &c1, const CFraction &c2);    friend bool operator>=(const CFraction &c1, const CFraction &c2);    friend bool operator<=(const CFraction &c1, const CFraction &c2);    friend bool operator>(const CFraction &c, int i);    friend bool operator>(int i, const CFraction &c);    friend bool operator<(const CFraction &c, int i);    friend bool operator<(int i, const CFraction &c);    friend bool operator==(const CFraction &c, int i);    friend bool operator==(int i, const CFraction &c);    friend bool operator!=(const CFraction &c, int i);    friend bool operator!=(int i, const CFraction &c);    friend bool operator>=(const CFraction &c, int i);    friend bool operator>=(int i, const CFraction &c);    friend bool operator<=(const CFraction &c, int i);    friend bool operator<=(int i, const CFraction &c);};// 分数化简void CFraction::simplify(){    int m,n,r;    m=abs(deno);    n=abs(nume);    while(r=m%n)    {        m=n;        n=r;    }    deno/=n;      nume/=n;    if (deno<0)      {        deno=-deno;        nume=-nume;    }}//显示分数void CFraction::display(){    cout<<"("<<nume<<"/"<<deno<<")"<<endl;}// 分数相加CFraction operator+(const CFraction &c1, const CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.deno+c2.nume*c1.deno;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}// 分数相减CFraction operator-(const CFraction &c1, const CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.deno-c2.nume*c1.deno;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}// 分数相乘CFraction operator*(const CFraction &c1, const CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.nume;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}// 分数相除CFraction operator/(const CFraction &c1, const CFraction &c2){    CFraction t;    if (!c2.nume) return c1;    t.nume=c1.nume*c2.deno;    t.deno=c1.deno*c2.nume;    t.simplify();    return t;}CFraction operator+(const CFraction &c, int i){    CFraction c1(c.nume+i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator+(int i, const CFraction &c ){    CFraction c1(c.nume+i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator-(const CFraction &c, int i){    CFraction c1(c.nume-i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator-(int i, const CFraction &c ){    CFraction c1(i*c.deno-c.nume,c.deno);    c1.simplify();    return c1;}CFraction operator*(const CFraction &c, int i){    CFraction c1(c.nume*i,c.deno);    c1.simplify();    return c1;}CFraction operator*(int i, const CFraction &c ){    CFraction c1(c.nume*i,c.deno);    c1.simplify();    return c1;}CFraction operator/(const CFraction &c, int i){    CFraction c1(c.nume,c.deno*i);    c1.simplify();    return c1;}CFraction operator/(int i, const CFraction &c ){    CFraction c1(i*c.deno,c.nume);    c1.simplify();    return c1;}// 分数取正号CFraction CFraction:: operator+(){    return *this;}// 分数取负号CFraction CFraction:: operator-(){    CFraction c;    c.nume=-nume;    c.deno=-deno;    return c;}// 分数比较大小bool operator>(const CFraction &c1, const CFraction &c2){    int c1_nume,c2_nume,common_deno;    c1_nume=c1.nume*c2.deno;      c2_nume=c2.nume*c1.deno;    common_deno=c1.deno*c2.deno;    //if (c1_nume>c2_nume) return true; 无法应对common_deno<0的情形    //下面的语句更简练的一种写法if ((c1_nume-c2_nume)*common_deno>0) return true;    if (c1_nume>c2_nume&&common_deno>0||c1_nume<c2_nume&&common_deno<0) return true; // 将通分后的分子比较大小    return false;}// 分数比较大小bool operator<(const CFraction &c1, const CFraction &c2){    int c1_nume,c2_nume,common_deno;    c1_nume=c1.nume*c2.deno;    c2_nume=c2.nume*c1.deno;    common_deno=c1.deno*c2.deno;    if ((c1_nume-c2_nume)*common_deno<0) return true;    return false;}// 分数比较大小bool operator==(const CFraction &c1, const CFraction &c2){    if (c1!=c2) return false;    return true;}// 分数比较大小bool operator!=(const CFraction &c1, const CFraction &c2){    if (c1>c2 || c1<c2) return true;    return false;}// 分数比较大小bool operator>=(const CFraction &c1, const CFraction &c2){    if (c1<c2) return false;    return true;}// 分数比较大小bool operator<=(const CFraction &c1, const CFraction &c2){    if (c1>c2) return false;    return true;}bool operator>(const CFraction &c, int i){    if(c.deno>0)        return c.nume>(i*c.deno);    else        return c.nume<(i*c.deno);}bool operator>(int i, const CFraction &c){    if(c.deno>0)        return (i*c.deno)>c.nume;    else        return (i*c.deno)<c.nume;}bool operator<(const CFraction &c, int i){    if(c.deno>0)        return c.nume<(i*c.deno);    else        return c.nume>(i*c.deno);}bool operator<(int i, const CFraction &c){    if(c.deno>0)        return (i*c.deno)<c.nume;    else        return (i*c.deno)>c.nume;}bool operator==(const CFraction &c, int i){    return c.nume==(i*c.deno);}bool operator==(int i, const CFraction &c){    return c.nume==(i*c.deno);}bool operator!=(const CFraction &c, int i){    return c.nume!=(i*c.deno);}bool operator!=(int i, const CFraction &c){    return c.nume!=(i*c.deno);}bool operator>=(const CFraction &c, int i){    return !(c<i);}bool operator>=(int i, const CFraction &c){    return !(i<c);}bool operator<=(const CFraction &c, int i){    return !(c>i);}bool operator<=(int i, const CFraction &c){    return !(i>c);}int main(){    CFraction x(1,3),y(-5,10),s;    cout<<"分数x=1/3      y=-5/10"<<endl;    s=+x+y;    cout<<"+x+y=";    s.display();    s=x-y;    cout<<"x-y=";    s.display();    s=x*y;    cout<<"x*y=";    s.display();    s=x/y;    cout<<"x/y=";    s.display();    s=-x+y;    cout<<"-x+y=";    s.display();    x.display();    if (x>y) cout<<"大于"<<endl;    if (x<y) cout<<"小于"<<endl;    if (x==y) cout<<"等于"<<endl;    y.display();    cout<<endl;    CFraction c1(5,3),c2;    //以下建议在调试环境中完成测试，    c2=c1+5;    c2=5+c1;    c2=c1-5;    c2=5-c1;    c2=c1*5;    c2=5*c1;    c2=c1/5;    c2=5/c1;    bool b;    b=(c1>2);    b=(2>c1);    return 0;}
运行结果：
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