C++ 分数与整数的混合运算 操作符重载

/********************************** fraction.cpp 功能：实现fraction类的基本功能 ***********************************/ #include "fraction.h" #include <string> #include <iostream> using namespace std; //---------------------------------------------------- //-----构造函数 （从分数的输入形式中提取分子和分母）-- fraction::fraction(const string & s) { string m; string n; char ss; int i; for(i=0;i<s.size(); i++) { ss=s.at(i); if(ss!='/') m+=ss; else break; } for(i=i+1; i<s.size(); i++) { ss=s.at(i); n+=ss; } fractions=atoi(m.c_str()); numerator=atoi(n.c_str()); } //------------------------------------------------------ //-----初始化函数（用于构造函数以外的变量初始化）------- bool fraction::set() { bool ret = true; string s; string m; string n; char ss; int i; int flag=0; //用于判断是否输入值为负数 cin>>s; for(i=0;i<s.size(); i++) { ss=s.at(i); if(ss=='-') { flag=1; //falg为 1 时表示输入为负数 } else { if(ss!='/') m+=ss; else break; } } for(i=i+1; i<s.size(); i++) { ss=s.at(i); n+=ss; } if(n == "") n="1"; //当输入的值为整数时，自动设分母为1 fractions=atoi(m.c_str()); numerator=atoi(n.c_str()); try{ if(numerator == 0) throw "0"; } catch(...) { ret = false; cout<<"分母不能为零,请重新输入"<<endl; set(); } if(flag) { fractions=-fractions; } return ret; } //-------------------------------------------------- //------输出 --------------------------------------- ostream & operator<<(ostream & o, const fraction & f ) { if(f.numerator!=1) { o<<f.fractions<<'/'; return o<<f.numerator; } else { return o<<f.fractions; } } //----------------------------------------------------- //------约分------------------------------------------- void fraction::reduction() { int x; int y; int temp_x; int temp_y; int gcd; temp_x=fractions; temp_y=numerator; x=abs(fractions); y=abs(numerator); if(x<y) { gcd=y; while(x>0) { gcd=x; x=y%x; y=gcd; } } else { gcd=x; while(y>0) { gcd=y; y=x%y; x=gcd; } } if(temp_x>0) { fractions=temp_x/gcd; numerator=temp_y/gcd; } else { fractions=(-temp_x)/gcd; numerator=temp_y/gcd; fractions=-fractions; } } //----------------------------------------------------- //------求倒数----------------------------------------- void fraction::reciprocal() { int temp; if(fractions<0) { temp=-numerator; numerator=-fractions; fractions=temp; } else { temp=numerator; numerator=fractions; fractions=temp; } } //------分数间的运算------------------------------------ //------------------------------------------------------ //------加法--------------------------------------- fraction fraction :: operator+(const fraction a) { int x; int y; //a的分子和分母 int m; int n; //b的分子和分母 int temp1; int temp2; fraction result; x=fractions; y=numerator; m=a.fractions; n=a.numerator; temp2=y*n;//result的分母 temp1=x*n+m*y;//result的分子 result.fractions=temp1; result.numerator=temp2; result.reduction(); //约分 return result; } //------------------------------------------------------ //------减法-------------------------------------------- fraction fraction :: operator-(const fraction a) { int x; int y; //a的分子和分母 int m; int n; //b的分子和分母 int temp1; int temp2; fraction result; x=fractions; y=numerator; m=a.fractions; n=a.numerator; temp2=y*n;//result的分母 temp1=x*n-m*y;//result的分子 result.fractions=temp1; result.numerator=temp2; result.reduction(); //约分 return result; } //------------------------------------------------------ //------乘法-------------------------------------------- fraction fraction :: operator*(const fraction a) { int x; int y; //a的分子和分母 int m; int n; //b的分子和分母 int temp1; int temp2; fraction result; x=fractions; y=numerator; m=a.fractions; n=a.numerator; if( x < 0 && m < 0) //判断当乘数和被乘数同为负数时，结果为正 { x = -x; m = -m; } temp2=y*n;//result的分母 temp1=x*m;//result的分子 result.fractions=temp1; result.numerator=temp2; result.reduction(); //约分 return result; } //------------------------------------------------------ //------除法-------------------------------------------- fraction fraction :: operator/(const fraction a) { int x; int y; //a的分子和分母 int m; int n; //b的分子和分母 int temp1; int temp2; fraction result; x=fractions; y=numerator; m=a.fractions; n=a.numerator; if( x < 0 && m < 0) //判断当除数和被除数同为负数时，结果为正 { x = -x; m = -m; } temp2=y*m;//result的分母 temp1=x*n;//result的分子 result.fractions=temp1; result.numerator=temp2; result.reduction(); //约分 return result; } //-------------------------------------------------------- //------" > "-------------------------------------------- bool fraction::operator>( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions>0) return 1; else return 0; } //-------------------------------------------------------- //------" < "-------------------------------------------- bool fraction::operator<( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions<0) return 1; else return 0; } //-------------------------------------------------------- //------" >= "-------------------------------------------- bool fraction::operator>=( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions>=0) return 1; else return 0; } //-------------------------------------------------------- //------" <= "-------------------------------------------- bool fraction::operator<=( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions<=0) return 1; else return 0; } //-------------------------------------------------------- //------" == "-------------------------------------------- bool fraction::operator==( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions==0) return 1; else return 0; } //-------------------------------------------------------- //------" != "-------------------------------------------- bool fraction::operator!=( const fraction a) { fraction b; fraction c; b.fractions=fractions; b.numerator=numerator; c=b-a; if(c.fractions!=0) return 1; else return 0; } //--------------------------------------------------------------------------------------------------------------------- //------分数与整数间的运算--------------------------------------------------------------------------------------------- //------加法--------------------------------------- fraction fraction :: operator+(const int k) { int x; int y; //a的分子和分母 int m; int n; //b的分子和分母 int temp1; int temp2; fraction result; x=fractions; y=numerator; m=k; n=1; temp2=y*n;//result的分母 temp1=x*n+m*y;//result的分子 result.fractions=temp1; result.numerator=temp2; result.reduction(); //约分 return result; } //------------------------------------------------------ //------减法-------------------------------------------- fraction fraction :: operator-(const int k) { int x; int y; /