第八週-運算子過載-分數類中的運算子過載-四則運算
阿新 • • 發佈：2019-01-01
<pre class="cpp" name="code">/* * Copyright (c) 2014, 煙臺大學計算機學院 * All rights reserved. * 檔名稱：test.cpp * 作 者：劉暢 * 完成日期：2015 年 4 月 25 日 * 版 本 號：v1.0 * * 問題描述：在（1）的基礎上，實現分數類中的物件和整型數的四則運算。 分數類中的物件可以和整型數進行四則運算，且運算符合交換律。例如： CFraction a(1,3),b; int i=2; 可以完成b=a+i;。同樣，可以完成i+a, 45+a, a*27, 5/a等各種運算。 * 輸入描述： ； * 程式輸出： 按要求輸出。
#include <iostream> #include <cmath> using namespace std; int gcd(int x, int y); class CFraction { private: int nume; // 分子 int deno; // 分母 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); //兩個分數相加，結果要化簡 friend CFraction operator-(const CFraction &c1, const CFraction &c2); //兩個分數相減，結果要化簡 friend CFraction operator*(const CFraction &c1, const CFraction &c2); //兩個分數相乘，結果要化簡 friend CFraction operator/(const CFraction &c1, const CFraction &c2); //兩個分數相除，結果要化簡 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+(); //取正一目運算 CFraction operator-(); //取反一目運算 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>(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); friend bool operator<=(int i, const CFraction &c); }; void CFraction::simplify() { int n=gcd(nume,deno); nume/=n; deno/=n; } int gcd(int x, int y) { int z; while (y!=0) { z=x; x=y; y=z%y; } return x; } 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; if (!c2.nume) return c1; 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(c.nume*i,c.deno); c1.simplify(); return c1; } CFraction operator/(const CFraction &c, int i) { CFraction c1(c.nume,c.deno*i); 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+() { CFraction c; c.nume=nume; c.deno=deno; c.simplify(); return c; } CFraction CFraction:: operator-() { CFraction c; c.nume=-nume; c.deno=-deno; c.simplify(); return c; } 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==(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 &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); } 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) { return c.nume==(i*c.deno); } bool operator==(int i, const CFraction &c) { return c.nume==(i*c.deno); } bool operator!=(const CFraction &c, int i) { return c.nume!=(i*c.deno); } bool operator!=(int i, const CFraction &c) { return c.nume!=(i*c.deno); } 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) { return !(i>c); } 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; c2=c1+5; c2.display(); c2=5+c1; c2.display(); c2=c1-5; c2.display(); c2=5-c1; c2.display(); c2=c1*5; c2.display(); c2=5*c1; c2.display(); c2=c1/5; c2.display(); c2=5/c1; c2.display(); bool b; b=(c1>2); cout<<b<<endl; b=(2>c1); cout<<b<<endl; return 0; }
執行結果：
學習心得：
看得頭暈眼花，寫到最後還是錯了。。。然後選擇了複製賀老師的程式碼。。。有所改動，也有所欠缺，並沒有用單步去觀察