分數和整型數的四則運算

/*   * Copyright (c) 2013, 煙台大學電腦學院   * All rights reserved.   * 檔案名稱:text.cpp   * 作者：胡穎   * 完成日期:2013年5月1日   * 版本號碼：v1.0   *   * 輸入描述：無   * 問題描述:分數類中的對象可以和整型數進行四則運算* 程式輸出：輸出分數的運算結果  * 問題分析：   * 演算法設計：略   */      #include <iostream>#include <cmath>using namespace std;class CFraction{public:        CFraction (int nu=0,int de=1):nume(nu),deno(de){}        void simplify();        void display();        friend   CFraction operator+(const  CFraction&c1,const  CFraction &c2);        friend   CFraction operator-(const  CFraction&c1,const  CFraction &c2) ;        friend   CFraction operator*(const  CFraction&c1,const  CFraction &c2);        friend   CFraction operator/(const  CFraction&c1,const  CFraction &c2);        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);        CFraction operator+();        CFraction operator-();        friend bool operator==(const  CFraction&c1,const  CFraction &c2);        friend bool operator!=(const  CFraction&c1,const  CFraction &c2);        friend bool operator>=(const  CFraction&c1,const  CFraction &c2);        friend bool operator<=(const  CFraction&c1,const  CFraction &c2);        friend bool operator>(const  CFraction&c1,const  CFraction &c2);        friend bool operator<(const  CFraction&c1,const  CFraction &c2);        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);        friend bool operator<(const  CFraction &c,int i);private:       int nume;//分子       int deno;//分母};void CFraction::simplify(){    int m,n,r;    m=fabs(deno);    n=fabs(nume);    while(r=m%n)    {        m=n;        n=r;    }    deno/=n;    nume/=n;    if(deno<0)    {        deno=-deno;        nume=-nume;    }}void CFraction::display(){    cout<<nume<<"/"<<deno<<endl;}CFraction operator+(const  CFraction&c1,const  CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.deno+c2.nume*c1.deno;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}CFraction operator-(const  CFraction&c1,const  CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.deno-c2.nume*c1.deno;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}CFraction operator*(const  CFraction&c1,const  CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.nume;    t.deno=c1.deno*c2.deno;    t.simplify();    return t;}CFraction operator/(const  CFraction&c1,const  CFraction &c2){    CFraction t;    t.nume=c1.nume*c2.deno;    t.deno=c1.deno*c2.nume;    t.simplify();    return t;}CFraction operator+(const  CFraction&c,int i){    CFraction c1(c.nume+i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator+(int i,const  CFraction&c){    CFraction c1(c.nume+i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator-(const  CFraction&c,int i){    CFraction c1(c.nume-i*c.deno,c.deno);    c1.simplify();    return c1;}CFraction operator-(int i,const  CFraction&c){    CFraction c1(i*c.deno-c.nume,c.deno);    c1.simplify();    return c1;}CFraction operator*(const  CFraction&c,int i){    CFraction c1(c.nume*i,c.deno);    c1.simplify();    return c1;}CFraction operator*(int i,const  CFraction &c){    CFraction c1(i*c.nume,c.deno);    c1.simplify();    return c1;}CFraction operator/(const  CFraction&c,int i){    CFraction c1(c.nume/i,c.deno);    c1.simplify();    return c1;}CFraction operator/(int i,const  CFraction &c){    CFraction c1(i*c.deno,c.nume);    c1.simplify();    return c1;}CFraction CFraction::operator+(){    return *this;}CFraction CFraction::operator-(){    CFraction c;    c.nume=-nume;    c.deno=-deno;    return c;}bool operator==(const  CFraction&c1,const  CFraction &c2){    if(c1!=c2) return false;    return true;}bool operator!=(const  CFraction&c1,const  CFraction &c2){    if(c1>c2||c1<c2) return true;    return false;}bool operator>=(const  CFraction&c1,const  CFraction &c2){    if(c1<c2) return false;    return true;}bool operator<=(const  CFraction&c1,const  CFraction &c2){    if(c1>c2) return false;    return true;}bool operator>(const  CFraction&c1,const  CFraction &c2){    int c1_nume,c2_nume,common_deno;    c1_nume=c1.nume*c2.deno;    c2_nume=c2.nume*c1.deno;    common_deno=c1.deno*c2.deno;    if((c1_nume-c2_nume)*common_deno>0)return true;    return false;}bool operator<(const  CFraction&c1,const  CFraction &c2){     int c1_nume,c2_nume,common_deno;    c1_nume=c1.nume*c2.deno;    c2_nume=c2.nume*c1.deno;    common_deno=c1.deno*c2.deno;    if((c1_nume-c2_nume)*common_deno<0)return true;    return false;}bool operator==(int i,const  CFraction &c){    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 (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 !(i<c);}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){    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){    if(c.deno>0)    return c.nume<(i*c.deno);    else      return c.nume>(i*c.deno);}int main(){    CFraction x(1,3),y(-5,10),s;    cout<<"分數:    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<<"大於"<<endl;    if (x<y) cout<<"小於"<<endl;    if (x==y) cout<<"等於"<<endl;    y.display();    cout<<endl;    CFraction c1(5,3),c2;    //以下建議在調試環境中完成測試，    c2=c1+5;    c2=5+c1;    c2=c1-5;    c2=5-c1;    c2=c1*5;    c2=5*c1;    c2=c1/5;    c2=5/c1;    bool b;    b=(c1>2);    b=(2>c1);    return 0;}

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