/*
* Copyright (c) 2013, 烟台大学计算机学院
* All rights reserved.
* 作 者:
* 完成日期:2014 年4月22日
* 版 本 号:v1.0
* 问题描述:
在第8周项目3基础上
(1)定义分数的一目运算+和-,分别代表分数取正和求反,
将“按位取反运算符”~重载为分数的求倒数运算。
(2)定义分数类中<<和>>运算符重载,实现分数的输入输出,
改造原程序中对运算结果显示方式,使程序读起来更自然。
*/
#include <iostream>
using namespace std;
class CFraction
{
private:
int nume; // 分子
int deno; // 分母
public:
CFraction(int nu=0,int de=1):nume(nu),deno(de){}
void simplify(); //化简!
void display();
CFraction operator+(CFraction &c2); //两个分数相加,结果要化简
CFraction operator-(CFraction &c2); //两个分数相减,结果要化简
CFraction operator*(CFraction &c2); //两个分数相乘,结果要化简
CFraction operator/(CFraction &c2); //两个分数相除,结果要化简
CFraction operator+(); //取正一目运算
CFraction operator-(); //取反一目运算
CFraction operator~(); //取倒数一目运算
bool operator>(CFraction &c2);
bool operator<(CFraction &c2);
bool operator==(CFraction &c2);
bool operator!=(CFraction &c2);
bool operator>=(CFraction &c2);
bool operator<=(CFraction &c2);
friend ostream & operator<<(ostream & output,CFraction &t);
friend istream & operator>>(istream & input,CFraction &t);
};
// 分数化简
void CFraction::simplify()
{
int i,min;
CFraction &c=*this;
if(c.deno<0) c.deno=-c.deno;
if(c.nume<0) c.nume=-c.nume;
c.nume>=c.deno?min=c.deno:min=c.nume;
for(i=min;i>0;i--)
{
if((c.deno%i==0)&&(c.nume%i==0))
{
c.deno/=i;
c.nume/=i;
}
}
}
// 分数取正号
CFraction CFraction:: operator+()
{
return *this;
}
// 分数取负号
CFraction CFraction:: operator-()
{
CFraction x;
x.nume=-nume;
x.deno=deno;
return x;
}
//分数取倒数
CFraction CFraction:: operator~()
{
CFraction x;
x.nume=deno;
x.deno=nume;
return x;
}
//输入分数
istream & operator>>(istream & input,CFraction &t)
{
cout<<"input nume part and deno part of CFraction numble:";
input>>t.nume>>t.deno;
return input;
}
//显示分数
ostream & operator<<(ostream & output,CFraction &t)
{
output<<"("<<t.nume<<","<<t.deno<<")"<<endl;
return output;
}
// 分数相加
CFraction CFraction::operator+(CFraction &c2)
{
CFraction &c1=*this;
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 CFraction::operator-(CFraction &c2)
{
CFraction &c1=*this;
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 CFraction::operator*(CFraction &c2)
{
CFraction &c1=*this;
CFraction t;
t.nume=c1.nume*c2.nume;
t.deno=c1.deno*c2.deno;
t.simplify();
return t;
}
// 分数相除
CFraction CFraction::operator/(CFraction &c2)
{
CFraction &c1=*this;
CFraction t;
t.nume=c1.nume*c2.deno;
t.deno=c1.deno*c2.nume;
t.simplify();
return t;
}
// 分数比较大小
bool CFraction::operator>(CFraction &c2)
{
CFraction &c1=*this;
int cdeno,c1nume,c2nume;
c1nume=c1.nume*c2.deno; // 计算分数通分后的分子,同分母为c1.deno*c2.deno
c2nume=c2.nume*c1.deno;
cdeno=c1.deno*c2.deno;
if (((c1nume>c2nume)&&(cdeno>0))||((c1nume<c2nume)&&(cdeno<0)) )return true; // 将通分后的分子比较大小
return false;
}
// 分数比较大小
bool CFraction::operator<(CFraction &c2)
{
CFraction &c1=*this;
int cdeno,c1nume,c2nume;
c1nume=c1.nume*c2.deno; // 计算分数通分后的分子,同分母为c1.deno*c2.deno
c2nume=c2.nume*c1.deno;
cdeno=c1.deno*c2.deno;
if (((c1nume<c2nume)&&(cdeno>0))||((c1nume>c2nume)&&(cdeno<0))) return true; // 将通分后的分子比较大小
return false;
}
// 分数比较大小
bool CFraction::operator==(CFraction &c2)
{
CFraction &c1=*this;
int c2nume,c1nume;
c1nume=c1.nume*c2.deno;
c2nume=c2.nume*c1.deno;
if(c1nume==c2nume)return true;
return false;
}
// 分数比较大小
bool CFraction::operator!=(CFraction &c2)
{
CFraction &c1=*this;
if (c1==c2)return false;
return true;
}
// 分数比较大小
bool CFraction::operator>=(CFraction &c2)
{
CFraction &c1=*this;
if (c1<c2) return false;
return true;
}
// 分数比较大小
bool CFraction::operator<=(CFraction &c2)
{
CFraction &c1=*this;
if (c1>c2) return false;
return true;
}
int main()
{
//CFraction x(1,3),y(-2,4),s;
CFraction x,y,s;
cin>>x>>y;
cout<<"x="<<x;
cout<<"y="<<y;
cout<<"分数取相反数:"<<endl;
s=-x;
cout<<"(-x)"<<s;
s=-y;
cout<<"(-y)"<<s;
cout<<"分数取倒数:"<<endl;
s=~x;
cout<<"(~x)"<<s;
s=~y;
cout<<"(~y)"<<s;
s=x+y;
cout<<"x+y="<<s;
s=x-y;
cout<<"x-y="<<s;
s=x*y;
cout<<"x*y="<<s;
s=x/y;
cout<<"x/y="<<s;
if (x>y) cout<<"x>y"<<endl;
if (x<y) cout<<"x<y"<<endl;
if (x==y) cout<<"x==y"<<endl;
if(x!=y)cout<<"x!=y"<<endl;
if (x>=y) cout<<"x≥y"<<endl;
if (x<=y) cout<<"x≤y"<<endl;
cout<<endl;
return 0;
}
心得:老师说不能直接cout<<-x的原因是,我的code blocks的版本太低。。。。。