第七周项目 3 分数类中的运算符重载(2)

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/*  * Copyright (c) 2015, 烟台大学计算机学院  * All rights reserved.  * 文件名称:main.cpp  * 作    者 :韩娟  * 完成日期 :2015年4月30日 * 版 本 号 :v1.0*  * 问题描述 :在(1)的基础上,实现分数类中的对象和整型数的四则运算。分数类中的对象可以和整型数进行四则运算,且运算符合交换律。例如:CFraction a(1,3),b; int i=2; 可以完成b=a+i;。同样,可以完成i+a, 45+a, a*27, 5/a等各种运算。* 输入描述 : 略  * 程序输出 :按要求输出  */ #include<iostream>#include<Cmath>#include<cstdlib>using namespace std;int gcd(int m, int n);class CFraction{private:    int nume;  // 分子    int deno;  // 分母public:    CFraction(int nu=0,int de=1);   //构造函数,初始化用    void set(int nu=0,int de=1);    //置值,改变值时用    void simplify();            //化简(使分子分母没有公因子)    void display();             //输出    CFraction operator+(const CFraction &c);  //两个分数相加,结果要化简    CFraction operator-(const CFraction &c);  //两个分数相减,结果要化简    CFraction operator*(const CFraction &c);  //两个分数相乘,结果要化简    CFraction operator/(const CFraction &c);  //两个分数相除,结果要化简    bool operator>(const CFraction &c);    bool operator<(const CFraction &c);    bool operator==(const CFraction &c);    bool operator!=(const CFraction &c);    bool operator>=(const CFraction &c);    bool operator<=(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 );    friend CFraction operator/(const CFraction &c, int i);    friend CFraction 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);    friend bool operator<=(const CFraction &c, int i);    friend bool operator<=(int i, const CFraction &c);};CFraction::CFraction(int nu,int de){    if (de!=0)    {        nume=nu;        deno=de;    }    else    {        cerr<<"格式错误,程序退出\n";        exit(0);    }}void CFraction::set(int nu,int de){    if (de!=0)    {        nume=nu;        deno=de;    }}void CFraction::simplify(){    int n=gcd(deno, nume);    deno/=n;    nume/=n;}int gcd(int m, int n){    int r;    if (m<n)    {        r=m;        m=n;        n=r;    }    while(r=m%n)    {        m=n;        n=r;    }    return n;}void CFraction::display(){    cout<<"("<<nume<<"/"<<deno<<")"<<endl;}CFraction CFraction::operator+(const CFraction &c)  //两个分数相加,结果要化简{    CFraction f;    f.nume=nume*c.deno+deno*c.nume;    f.deno=deno*c.deno;    f.simplify();    return f;}CFraction CFraction::operator-(const CFraction &c)  //两个分数相减,结果要化简{    CFraction f;    f.nume=nume*c.deno-deno*c.nume;    f.deno=deno*c.deno;    f.simplify();    return f;}CFraction CFraction::operator*(const CFraction &c)  //两个分数相乘,结果要化简{    CFraction f;    f.nume=nume*c.nume;    f.deno=deno*c.deno;    f.simplify();    return f;}CFraction CFraction::operator/(const CFraction &c)  //两个分数相除,结果要化简{    CFraction f;    f.nume=nume*c.deno;    f.deno=deno*c.nume;    f.simplify();    return f;}bool CFraction::operator>(const CFraction &c){    CFraction f;    f=*this-c;    if(f.nume*f.deno>0)return true;    return false;}bool CFraction::operator<(const CFraction &c){    CFraction f;    f=*this-c;    if((f.nume*f.deno)<0) return true;    return false;}bool CFraction::operator==(const CFraction &c){    CFraction f;    f=*this-c;    if((f.nume==f.deno)) return true;    return false;}bool CFraction::operator!=(const CFraction &c){    CFraction f;    f=*this-c;    if((f.nume/f.deno)==0) return false;    return true;}bool CFraction::operator>=(const CFraction &c){    CFraction f;    f=*this-c;    if((f.nume/f.deno)<0) return false;    return true;}bool CFraction::operator<=(const CFraction &c){    CFraction f;    f=*this-c;    if((f.nume/f.deno)>0) return true;    return false;}CFraction operator+(const CFraction &c, int i){    CFraction f;    f.nume=c.nume+i*c.deno;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator+(int i, const CFraction &c ){    CFraction f;    f.nume=c.nume+i*c.deno;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator-(const CFraction &c, int i){    CFraction f;    f.nume=c.nume-i*c.deno;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator-(int i, const CFraction &c ){    CFraction f;    f.nume=-c.nume+i*c.deno;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator*(const CFraction &c, int i){    CFraction f;    f.nume=c.nume*i;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator*(int i, const CFraction &c ){    CFraction f;    f.nume=c.nume*i;    f.deno=c.deno;    f.simplify();    return f;}CFraction operator/(const CFraction &c, int i){    CFraction f;    f.nume=c.nume;    f.deno=c.deno*i;    f.simplify();    return f;}CFraction operator/(int i, const CFraction &c ){    CFraction f;    f.nume=c.deno*i;    f.deno=c.nume;    f.simplify();    return f;}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;    cout<<"c1=5/3"<<endl;    c2=c1+5;    c2=5+c1;    cout<<"c1+5=";    c2.display();    c2=c1-5;    c2=5-c1;    cout<<"c1-5=";    c2.display();    c2=c1*5;    c2=5*c1;    cout<<"c1*5=";    c2.display();    c2=c1/5;    c2=5/c1;    cout<<"c1/5=";    c2.display();    bool b;    if(b=(c1>2)) cout<<"5/3大于2";    else if(b=(2>c1)) cout<<"5/3小于2";    return 0;}


 

知识点总结 :

   这个程序和第一个程序有类似的地方,自我觉得还是可以的,就是好长,写了好久。

学习心得 :

    耐心耐心,真的好重要,快哭了。

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