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第八周项目3(2)-分数类的运算符重载

2015-04-27 15:53 369 查看
/*
*Copyright (c) 2014, 烟台大学计算机学院
*All rights reserved.
*文件名称:week8-3-2.cpp
*作者:高赞
*完成日期:2015年 4 月 27 日
*版本号:v1.0
*
* 问题描述:分数的加减乘除和比较以及和整型数据的运算
*/
#include <iostream>
#include "CFraction.h"
using namespace std;

int main()
{
CFraction f1(5,10),f2(2,5),f3;
cout<<"f1=";
f1.simplify();
f1.display();
cout<<"f2=";
f2.simplify();
f2.display();
if (f1>f2) cout<<"f1 > f2"<<endl;
if (f1<f2) cout<<"f1 < f2"<<endl;
if (f1==f2) cout<<"f1 £½ f2"<<endl;
if (f1!=f2) cout<<"f1 ¡Ù f2"<<endl;
if (f1>=f2) cout<<"f1 ¡Ý f2"<<endl;
if (f1<=f2) cout<<"f1 ¡Ü f2"<<endl;
f3=f1+f2;
f3.simplify();
cout<<"f1+f2=";
f3.display();
f3=f1-f2;
f3.simplify();
cout<<"f1-f2=";
f3.display();
f3=f1*f2;
f3.simplify();
cout<<"f1*f2=";
f3.display();
f3=f1/f2;
f3.simplify();
cout<<"f1/f2=";
f3.display();
f3=f1+2;
f3.simplify();
cout<<"f1+2=";
f3.display();
f3=f1-2;
f3.simplify();
cout<<"f1-2=";
f3.display();
f3=f1*2;
f3.simplify();
cout<<"f1*2=";
f3.display();
f3=f1/2;
f3.simplify();
cout<<"f1/2=";
f3.display();
f3=2+f2;
f3.simplify();
cout<<"2+f2=";
f3.display();
f3=2-f2;
f3.simplify();
cout<<"2-f2=";
f3.display();
f3=2*f2;
f3.simplify();
cout<<"2*f2=";
f3.display();
f3=2/f2;
f3.simplify();
cout<<"2/f2=";
f3.display();
return 0;

}


CFraction类

#ifndef CFRACTION_H_INCLUDED
#define CFRACTION_H_INCLUDED

class CFraction
{
private:
int nume;  // 分子
int deno;  // 分母
public:
CFraction(int nu=0,int de=1);
void simplify();            //化简(使分子分母没有公因子)
CFraction operator+(const CFraction &f2);
CFraction operator-(const CFraction &f2);
CFraction operator*(const CFraction &f2);
CFraction operator/(const CFraction &f2);
CFraction operator+(const int i);
CFraction operator-(const int i);
CFraction operator*(const int i);
CFraction operator/(const int i);
friend CFraction operator+(const int i,const CFraction &f2);
friend CFraction operator-(const int i,const CFraction &f2);
friend CFraction operator*(const int i,const CFraction &f2);
friend CFraction operator/(const int i,const CFraction &f2);
bool operator > (const CFraction &f2);
bool operator < (const CFraction &f2);
bool operator >= (const CFraction &f2);
bool operator <= (const CFraction &f2);
bool operator == (const CFraction &f2);
bool operator != (const CFraction &f2);
void display();
};

#endif // CFRACTION_H_INCLUDED


定义成员函数和友元函数

#include "CFraction.h"
#include <iostream>
#include <cstdlib>
using namespace std;
CFraction::CFraction(int nu,int de)
{
if(de==0)
{
cout<<"初始化失败,分母不能为零。"<<endl;
exit(0);
}
else
{
nume=nu;
deno=de;
}
}
void CFraction::simplify()
{
int a=nume,b=deno,c;
while (b!=0)
{
c=a%b;
a=b;
b=c;
}
nume=nume/a;
deno=deno/a;
if((nume>0&&deno<0))
{
nume*=(-1);
deno*=(-1);
}
if(nume<0&&deno<0)
{
nume*=(-1);
deno*=(-1);
}
}
void CFraction::display()
{
if(deno==1)
cout<<nume<<endl;
else
cout<<nume<<"/"<<deno<<endl;

}
CFraction CFraction::operator+(const CFraction &f2)
{
return CFraction(nume*f2.deno+f2.nume*deno,deno*f2.deno);
}
CFraction CFraction::operator-(const CFraction &f2)
{
return CFraction(nume*f2.deno-f2.nume*deno,deno*f2.deno);
}
CFraction CFraction::operator*(const CFraction &f2)
{
return CFraction(nume*f2.nume,deno*f2.deno);
}
CFraction CFraction::operator/(const CFraction &f2)
{
return CFraction(nume*f2.deno,deno*f2.nume);
}
CFraction CFraction::operator+(const int i)
{
CFraction f1(i,1);
return *this+f1;
}
CFraction CFraction::operator-(const int i)
{
CFraction f1(i,1);
return *this-f1;
}
CFraction CFraction::operator*(const int i)
{
CFraction f1(i,1);
return *this*f1;
}
CFraction CFraction::operator/(const int i)
{
CFraction f1(i,1);
return *this/f1;
}
CFraction operator+(const int i,const CFraction &f2)
{
CFraction f1(i,1);
return f1+f2;
}
CFraction operator-(const int i,const CFraction &f2)
{
CFraction f1(i,1);
return f1-f2;
}
CFraction operator*(const int i,const CFraction &f2)
{
CFraction f1(i,1);
return f1*f2;
}
CFraction operator/(const int i,const CFraction &f2)
{
CFraction f1(i,1);
return f1/f2;
}
bool CFraction::operator > (const CFraction &f2)
{
if(nume*f2.deno>f2.nume*deno)
return true;
else return false;
}
bool CFraction::operator < (const CFraction &f2)
{
if(nume*f2.deno<f2.nume*deno)
return true;
else return false;
}
bool CFraction::operator >= (const CFraction &f2)
{
if(nume*f2.deno<f2.nume*deno)
return false;
else return true;
}
bool CFraction::operator <= (const CFraction &f2)
{
if(nume*f2.deno>f2.nume*deno)
return false;
else return true;
}
bool CFraction::operator == (const CFraction &f2)
{
if(nume*f2.deno==f2.nume*deno)
return true;
else return false;
}
bool CFraction::operator != (const CFraction &f2)
{
if(nume*f2.deno==f2.nume*deno)
return false;
else return true;
}




分数的简化也要考虑到负号的前置和抵消以及分母为1时的省略。
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