ration.cpp

包含C++中map

#include<iostream>
#include"rational.h"

using namespace std;

//化简
void rational::simplify(rational &r)
{
     int x,y;
     x=r.get_fenzi();
	 y=r.get_fenmu();
     int tem; 
     if(x<y)
	 {
		 tem=x;x=y;y=tem;
	 }  
     while(x%y) 
	 { 
        tem=x%y; 
        x=y; 
        y=tem; 
	 } 
     r.set_fenzi()(r.get_fenzi()/y);
	 r.set_fenmu()(r.get_fenmu()/y); 
}


inline int rational operator +(rational &r1,rational &r2)  //重载+
{
    rational temp;
    temp.set_fenzi(r1.get_fenzi() * r2.get_fenmu()+r1.get_fenmu() * r2.get_fenzi());
    temp.set_fenmu(r1.get_fenmu() * r2.get_fenmu());
    return temp; 
}


inline int rational operator -(rational &r1,rational &r2)  //重载-
{
    rational temp;
	temp.set_fenzi(r1.get_fenzi() * r2.get_fenmu()-r1.get_fenmu() * r2.get_fenzi());
	temp.set_fenmu(r1.get_fenmu() * r2.get_fenmu());
	return temp;
}


inline int rational operator *(rational &r1,rational &r2)  //重载*
{
	rational temp;
	temp.set_fenzi(r1.get_fenzi() * r2.get_fenzi());
	temp.set_fenmu(r1.get_fenmu() * r2.get_fenmu());
	return temp;
}


inline int rational operator /(rational &r1,rational &r2)  //重载/
{
	rational temp;
	temp.set_fenzi(r1.get_fenzi() * r2.get_fenmu());
	temp.set_fenmu(r1.get_fenmu() * r2.get_fenzi());
	return temp;
}

//比较大小
int sign(int value)
{   
	if(value>0)   return 1;   
	else   if(value==0)   return 0;   
	else   return -1;
} 
   
int rational::compare(const rational &r) const
{   
    return (r1.get_fenzi()*r2.get_fenmu()-r1.get_fenmu()*r2.get_fenzi())*sign(r1.get_fenmu())*sign(r2.get_fenmu);
}  

inline bool operator ==(const rational &r1,const rational &r2)//重载==运算符
{
	return compare(r1,r2)==0;
}
   
inline bool operator >(const rational &r1,const rational &r2)//重载>运算符
{   
    return   compare(r1,r2)>0;
}  
 
inline bool operator <(const rational &r1,const rational &r2)//重载<运算符
{   
    return   compare(r1,r2)<0;
} 

//输入   
inline void rational::istream  &operator >>(istream &in,rational &r)
{   
    int a,b;   
    in>>a;   
    char c;   
    in>>c;   
    if(c=='/')     
    in>>b;   
    else
	{   
        in.putback(c);   
        b=1;
	}   
    rational R(a,b);   
    r=R;   
    return in;
}

//输出
inline void rational::ostream &operator <<(ostream &out,const rational &r)
{   
     out<<r.get_fenzi()<<'/'<<r.get_fenmu();   
     return out;
}