第八周任务三 运算符重载 分数

/* (程序头部注释开始)
* 程序的版权和版本声明部分
* Copyright (c) 2011, 烟台大学计算机学院学生 
* All rights reserved.
* 文件名称：                              
* 作    者：   姜雅明                              
* 完成日期：   2012     年   04    月    10    日
* 版 本 号：   1.0      

* 对任务及求解方法的描述部分
* 输入描述： 分数
* 问题描述： 运算符重载，分数的计算和比较
* 程序输出： 计算后的分数
* 程序头部的注释结束
*/

#include<iostream>
using namespace std;

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 input();				//按照"nu/de"的格式，如"5/2"的形式输入
	void Simplify();            //化简（使分子分母没有公因子）
	CFraction operator + (CFraction &f);
	CFraction operator - (CFraction &f);
	CFraction operator * (CFraction &f);			
	CFraction operator / (CFraction &f);
	CFraction operator - ();
	bool operator > (CFraction &f);
	bool operator < (CFraction &f);
	bool operator >= (CFraction &f);
	bool operator <= (CFraction &f);
	bool operator == (CFraction &f);
	bool operator != (CFraction &f);
	void output(int style=0);		//输出：以8/6为例，style为0时，输出8/6；
	//style为1时，输出4/3；
	//style为2时，输出1(1/3)，表示一又三分之一；
	//不给出参数和非1、2，认为是方式0
};

CFraction:: CFraction(int nu,int de): nume(nu), deno(de){}

void CFraction:: Set(int nu,int de)
{
	nume = nu;
	deno = de;
}

void CFraction:: input()
{
	char ch = '/';

	cout << "请输入分数值(nu/de)：";

	cin >> nume >> ch >> deno;

	while(1)
	{
		if (ch != '/')
		{
			cout << "格式错误，请重新输入：";
			cin >> nume >> ch >> deno;
		}
		else 
		{
			break;
		}
	}
}

void CFraction:: Simplify()
{
	int i, j;

	for (i = 2; i <= nume; ++i)
	{
		for(j = 2; j <= deno; ++j)
		{
			if (nume % j == 0 && deno % j == 0)
			{
				nume = nume / j;

				deno = deno / j;
			}
		}
	}
}

CFraction CFraction:: operator + (CFraction &f)
{
	CFraction f1;
	f1.deno = f.deno * deno;
	f1.nume = f.deno * nume + f.nume * deno;

	return f1;
}

CFraction CFraction::  operator - (CFraction &f)
{
	CFraction f1;
	f1.deno = f.deno * deno;
	f1.nume = f.deno * nume - f.nume * deno;

	return f1;
}

CFraction CFraction:: operator * (CFraction &f)
{
	CFraction f1;
	f1.deno = f.deno * deno;
	f1.nume = f.nume * nume;

	return f1;
}

CFraction CFraction:: operator / (CFraction &f)
{
	CFraction f1;
	f1.nume = f.deno * nume;
	f1.deno = f.nume * deno;

	return f1;
}

CFraction CFraction:: operator - ()
{
	CFraction f1;
	f1.deno = deno;
	f1.nume = -nume;

	return f1;
}

bool CFraction:: operator > (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume > f.nume)
		return true;
	else
		return false;
}

bool CFraction:: operator < (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume < f.nume)
		return true;
	else
		return false;
}

bool CFraction:: operator >= (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume > f.nume || nume == f.nume)
		return true;
	else
		return false;
}

bool CFraction:: operator <= (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume < f.nume || nume == f.nume)
		return true;
	else
		return false;
}

bool CFraction:: operator == (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume == f.nume)
		return true;
	else
		return false;
}

bool CFraction:: operator != (CFraction &f)
{
	nume = nume * f.deno;
	f.nume = f.nume * deno;
	if(nume != f.nume)
		return true;
	else
		return false;
}

void CFraction:: output(int style)	
{
	int i;

	if (style == 0)
	{
		cout << nume << "/" << deno << endl;
	}
	else if (style == 1)
	{
		Simplify();
		if(nume % deno == 0)
		{
			cout << nume;
			cout << endl;
		}
		else
		{
			cout << nume << "/" << deno << endl;
		}
	}
	else 
	{
		if (nume > deno)
		{				
			while(nume > deno)
			{	
				if(nume % deno == 0)
				{
					cout << nume;
					cout << endl;
					break;
				}
				else
				{
					i = nume % deno;
					nume = nume /deno;

					++i;
					cout << i - 1 << "(" <<nume << "/" << deno << ")" << endl;
				}
			}				
		}
		else
		{
			cout << nume << "/" << deno << endl;
		}
	}
}

void main()
{
	CFraction cf1;

	CFraction cf2;
	cf2.Set(8, 6);
	cout << "cf2=";
	cf2.output(1);

	CFraction cf3;
	cf3.Set(2,3);
	cout << "cf3=";
	cf3.output(1);

	cf1 = cf2 + cf3;
	cout << "cf2+cf3=";
	cf1.output(1);

	cf1 = cf2 - cf3;
	cout << "cf2-cf3=";
	cf1.output(1);

	cf1 = cf2 * cf3;
	cout << "cf2*cf3=";
	cf1.output(1);

	cf1 = cf2 / cf3;
	cout << "cf2/cf3=";
	cf1.output(1);

	cf1 = cf2;
	cf1 = -cf1;
	cout << "-cf2=";
	cf1.output(1);

	if (cf2>cf3) cout<<"cf2>cf3"<<endl;
	if (cf2<cf3) cout<<"cf2<cf3"<<endl;
	if (cf2==cf3) cout<<"cf2＝cf3"<<endl; 
	if (cf2!=cf3) cout<<"cf2≠cf3"<<endl;
	if (cf2>=cf3) cout<<"cf2≥cf3"<<endl;
	if (cf2<=cf3) cout<<"cf2≤cf3"<<endl;

	system("PAUSE");
}