有理数类的实现与应用.docVIP

《面向对象程序设计》课程设计 学号：20082212337 班级： 08网络2班 姓名：黄小伟 类的设计：有理数类的实现与应用 类的创建： 在工程内创建一个头文件“Crational.h”，在其中定义一个Crational类： #includeiostream.h class Crational { private: int fz; //私有成员：分子 int fm; //私有成员：分母 public: bool operator( Crational ); bool operator( Crational ); bool operator==( Crational ); Crational operator+(Crational ); Crational operator-(Crational ); Crational operator*(Crational ); Crational operator/(Crational ); double real(Crational a); friend ostream operator(ostream ,Crational );//重载插入运算符“” friend istream operator(istream ,Crational );//重载提取运算符“” }; 具体实现： #includeCrational.h //包含头文件中所定义的有理数类 #includeiostream.h /*分数加、减、乘、除运算*/ Crational Crational::operator+(Crational a) //加运算 { Crational temp; temp.fm=fm*a.fm; temp.fz=fz*a.fm+a.fz*fm; return temp; } Crational Crational::operator-(Crational a) //减运算 { Crational temp; temp.fm=fm*a.fm; temp.fz=fz*a.fm-a.fz*fm; return temp; } Crational Crational::operator*(Crational a) //乘运算 { Crational temp; temp.fm=fm*a.fm; temp.fz=fz*a.fz; return temp; } Crational Crational::operator/(Crational a) //除运算 { Crational temp; temp.fm=fm*a.fz; temp.fz=fz*a.fm; return temp; } /*分数比较大小*/ bool Crational::operator( Crational a) { int m,n; m=fz*a.fm; n=a.fz*fm; if(mn) return true; return false; } bool Crational::operator( Crational a) { int m,n; m=fz*a.fm; n=a.fz*fm; if(mn) return true; return false; } bool Crational::operator==( Crational a) { int m,n; m=fz*a.fm; n=a.fz*fm; if(m==n) return true; return false; } //分数实数化 double Crational::real(Crational a) {return(double(a.fz)/(a.fm));} 通过重载’/’运算符实现分数的实数化 /*重载插入运算符*/ ostream operator(ostream output,Crational a) //优化函数 { int i; if(a.fz%a.fm==0) outputa.fz/a.fmendl; else { for(i=2;i=a.fz || i=a.fm;) { if(a.fz%i==0 a.fm%i==0) { a.fz=a.fz/i; a.fm=a.fm/i; i=2; } else i++; } outputa.fz /a.fmendl; } return output; } /*重载提取运算符*/ istream operator(istream in