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Copy pathratClass.cpp
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158 lines (121 loc) · 2.56 KB
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/*************************
* Name: Julian Moskovits
* Description: Creates a class which handles Rational Numbers.
*
****************************/
#include <iostream>
using namespace std;
class Rat{
private:
int n;
int d;
public:
//constructors
//default constructor
Rat(){
n = 0;
d = 1;
}
//2 Parameter Constructor
Rat(int i, int j){
n = i / GCD(i, j);
d = j / GCD(i, j);
}
//Conversion Constructor
Rat(int i){
n = i;
d = 1;
}
//Get Functions
int getN(){
return n;
}
int getD(){
return d;
}
//Set Functions
void setN(int i){
n = i / GCD(i, d);
d = d / GCD(i, d);
}
void setD(int j){
int tGCD = GCD(n, j);
n = n / tGCD;
d = j / tGCD;
if(d < 0){
d = d * -1;
n = n * -1;
}
}
//Arithmetic Operators
Rat operator+ (Rat r){
Rat t;
t.setN(n * r.d + d * r.n);
t.setD(d * r.d);
return t;
}
Rat operator- (Rat r){
Rat t;
t.setN(n * r.d - d * r.n);
t.setD(d * r.d);
return t;
}
Rat operator* (Rat r){
Rat t;
t.setN(n * r.n);
t.setD(d * r.d);
return t;
}
Rat operator/ (Rat r){
Rat t;
t.setN(n * r.d);
t.setD(d * r.n);
return t;
}
int GCD(int x, int y){
return y == 0 ? x : GCD(y, x % y);
}
//friend ostream& operator<<(ostream& os, Rat r);
//friend istream& operator>>(istream& is, Rat& r);
};
// operator<< is a friend of Rat.
ostream& operator<< (ostream& os, Rat r){
if (r.getN() > r.getD()){
os << r.getN()/r.getD() << " ";
if (r.getN() % r.getD() != 0){
os << r.getN() % r.getD() << "/" << r.getD();
}
}
else{
os << r.getN() << "/" << r.getD();
}
return os;
}
int main() {
Rat r1(5, 2), r2(3, 2);
cout << "r1: " << r1 << endl;
cout << "r2: " << r2 << endl;
cout << "r1 + r2: " << r1 + r2 << endl;
cout << "r1 - r2: " << r1 - r2 << endl;
cout << "r1 * r2: " << r1 * r2 << endl;
cout << "r1 / r2: " << r1 / r2 << endl;
cout << endl;
r1 = r2;
r2 = r1 * r2;
cout << "r1: " << r1 << endl;
cout << "r2: " << r2 << endl;
cout << "r1 + r2: " << r1 + r2 << endl;
cout << "r1 - r2: " << r1 - r2 << endl;
cout << "r1 * r2: " << r1 * r2 << endl;
cout << "r1 / r2: " << r1 / r2 << endl;
cout << endl;
r1 = r2 + r1 * r2 / r1;
r2 = r2 + r1 * r2 / r1;
cout << "r1: " << r1 << endl;
cout << "r2: " << r2 << endl;
cout << "r1 + r2: " << r1 + r2 << endl;
cout << "r1 - r2: " << r1 - r2 << endl;
cout << "r1 * r2: " << r1 * r2 << endl;
cout << "r1 / r2: " << r1 / r2 << endl;
return 0;
}